diff options
Diffstat (limited to 'libtommath')
52 files changed, 244 insertions, 7392 deletions
diff --git a/libtommath/README.md b/libtommath/README.md deleted file mode 100644 index 866f024..0000000 --- a/libtommath/README.md +++ /dev/null @@ -1,13 +0,0 @@ -[](https://travis-ci.org/libtom/libtommath) - -This is the git repository for [LibTomMath](http://www.libtom.org/), a free open source portable number theoretic multiple-precision integer (MPI) library written entirely in C. - -The `develop` branch contains the in-development version. Stable releases are tagged. - -Documentation is built from the LaTeX file `bn.tex`. There is also limited documentation in `tommath.h`. There is also a document, `tommath.pdf`, which describes the goals of the project and many of the algorithms used. - -The project can be build by using `make`. Along with the usual `make`, `make clean` and `make install`, there are several other build targets, see the makefile for details. There are also makefiles for certain specific platforms. - -Tests are located in `demo/` and can be built in two flavors. -* `make test` creates a test binary that is intended to be run against `mtest`. `mtest` can be built with `make mtest` and test execution is done like `./mtest/mtest | ./test`. `mtest` is creating test vectors using an alternative MPI library and `test` is consuming these vectors to verify correct behavior of ltm -* `make test_standalone` creates a stand-alone test binary that executes several test routines. diff --git a/libtommath/TODO b/libtommath/TODO deleted file mode 100644 index deffba1..0000000 --- a/libtommath/TODO +++ /dev/null @@ -1,16 +0,0 @@ -things for book in order of importance... - -- Fix up pseudo-code [only] for combas that are not consistent with source -- Start in chapter 3 [basics] and work up... - - re-write to prose [less abrupt] - - clean up pseudo code [spacing] - - more examples where appropriate and figures - -Goal: - - Get sync done by mid January [roughly 8-12 hours work] - - Finish ch3-6 by end of January [roughly 12-16 hours of work] - - Finish ch7-end by mid Feb [roughly 20-24 hours of work]. - -Goal isn't "first edition" but merely cleaner to read. - - diff --git a/libtommath/bn.pdf b/libtommath/bn.pdf Binary files differindex a1f40ef..392b649 100644 --- a/libtommath/bn.pdf +++ b/libtommath/bn.pdf diff --git a/libtommath/bn.tex b/libtommath/bn.tex index d975471..8d52075 100644 --- a/libtommath/bn.tex +++ b/libtommath/bn.tex @@ -1,4 +1,4 @@ -\documentclass[synpaper]{book} +\documentclass[b5paper]{book} \usepackage{hyperref} \usepackage{makeidx} \usepackage{amssymb} diff --git a/libtommath/bn_mp_add_d.c b/libtommath/bn_mp_add_d.c index 4d4e1df..26a165b 100644 --- a/libtommath/bn_mp_add_d.c +++ b/libtommath/bn_mp_add_d.c @@ -37,8 +37,9 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) /* c = |a| - b */ res = mp_sub_d(a, b, c); - /* fix sign */ - a->sign = c->sign = MP_NEG; + /* fix signs */ + a->sign = MP_NEG; + c->sign = (c->used) ? MP_NEG : MP_ZPOS; /* clamp */ mp_clamp(c); diff --git a/libtommath/bn_mp_cmp.c b/libtommath/bn_mp_cmp.c index 74a98fe..15179ca 100644 --- a/libtommath/bn_mp_cmp.c +++ b/libtommath/bn_mp_cmp.c @@ -17,7 +17,7 @@ /* compare two ints (signed)*/ int -mp_cmp (mp_int * a, mp_int * b) +mp_cmp (const mp_int * a, const mp_int * b) { /* compare based on sign */ if (a->sign != b->sign) { diff --git a/libtommath/bn_mp_cmp_d.c b/libtommath/bn_mp_cmp_d.c index 28a53ce..0c9fc86 100644 --- a/libtommath/bn_mp_cmp_d.c +++ b/libtommath/bn_mp_cmp_d.c @@ -16,7 +16,7 @@ */ /* compare a digit */ -int mp_cmp_d(mp_int * a, mp_digit b) +int mp_cmp_d(const mp_int * a, mp_digit b) { /* compare based on sign */ if (a->sign == MP_NEG) { diff --git a/libtommath/bn_mp_cmp_mag.c b/libtommath/bn_mp_cmp_mag.c index f72830f..a537608 100644 --- a/libtommath/bn_mp_cmp_mag.c +++ b/libtommath/bn_mp_cmp_mag.c @@ -16,7 +16,7 @@ */ /* compare maginitude of two ints (unsigned) */ -int mp_cmp_mag (mp_int * a, mp_int * b) +int mp_cmp_mag (const mp_int * a, const mp_int * b) { int n; mp_digit *tmpa, *tmpb; diff --git a/libtommath/bn_mp_cnt_lsb.c b/libtommath/bn_mp_cnt_lsb.c index 9d7eef8..b638dc4 100644 --- a/libtommath/bn_mp_cnt_lsb.c +++ b/libtommath/bn_mp_cnt_lsb.c @@ -20,7 +20,7 @@ static const int lnz[16] = { }; /* Counts the number of lsbs which are zero before the first zero bit */ -int mp_cnt_lsb(mp_int *a) +int mp_cnt_lsb(const mp_int *a) { int x; mp_digit q, qq; diff --git a/libtommath/bn_mp_copy.c b/libtommath/bn_mp_copy.c index 69e9464..c15f961 100644 --- a/libtommath/bn_mp_copy.c +++ b/libtommath/bn_mp_copy.c @@ -17,7 +17,7 @@ /* copy, b = a */ int -mp_copy (mp_int * a, mp_int * b) +mp_copy (const mp_int * a, mp_int * b) { int res, n; diff --git a/libtommath/bn_mp_count_bits.c b/libtommath/bn_mp_count_bits.c index 74b59b6..47aa569 100644 --- a/libtommath/bn_mp_count_bits.c +++ b/libtommath/bn_mp_count_bits.c @@ -17,7 +17,7 @@ /* returns the number of bits in an int */ int -mp_count_bits (mp_int * a) +mp_count_bits (const mp_int * a) { int r; mp_digit q; diff --git a/libtommath/bn_mp_div_2d.c b/libtommath/bn_mp_div_2d.c index 5b9fb48..49d7479 100644 --- a/libtommath/bn_mp_div_2d.c +++ b/libtommath/bn_mp_div_2d.c @@ -16,7 +16,7 @@ */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ -int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) +int mp_div_2d (const mp_int * a, int b, mp_int * c, mp_int * d) { mp_digit D, r, rr; int x, res; diff --git a/libtommath/bn_mp_div_d.c b/libtommath/bn_mp_div_d.c index 4df1d36..7dc0904 100644 --- a/libtommath/bn_mp_div_d.c +++ b/libtommath/bn_mp_div_d.c @@ -19,12 +19,11 @@ static int s_is_power_of_two(mp_digit b, int *p) { int x; - /* fast return if no power of two */ + /* quick out - if (b & (b-1)) isn't zero, b isn't a power of two */ if ((b == 0) || ((b & (b-1)) != 0)) { - return 0; + return 0; } - - for (x = 0; x < DIGIT_BIT; x++) { + for (x = 1; x < DIGIT_BIT; x++) { if (b == (((mp_digit)1)<<x)) { *p = x; return 1; diff --git a/libtommath/bn_mp_export.c b/libtommath/bn_mp_export.c deleted file mode 100644 index ac4c2f9..0000000 --- a/libtommath/bn_mp_export.c +++ /dev/null @@ -1,88 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_EXPORT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* based on gmp's mpz_export. - * see http://gmplib.org/manual/Integer-Import-and-Export.html - */ -int mp_export(void* rop, size_t* countp, int order, size_t size, - int endian, size_t nails, mp_int* op) { - int result; - size_t odd_nails, nail_bytes, i, j, bits, count; - unsigned char odd_nail_mask; - - mp_int t; - - if ((result = mp_init_copy(&t, op)) != MP_OKAY) { - return result; - } - - if (endian == 0) { - union { - unsigned int i; - char c[4]; - } lint; - lint.i = 0x01020304; - - endian = (lint.c[0] == 4) ? -1 : 1; - } - - odd_nails = (nails % 8); - odd_nail_mask = 0xff; - for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (1 << (7 - i)); - } - nail_bytes = nails / 8; - - bits = mp_count_bits(&t); - count = (bits / ((size * 8) - nails)) + (((bits % ((size * 8) - nails)) != 0) ? 1 : 0); - - for (i = 0; i < count; ++i) { - for (j = 0; j < size; ++j) { - unsigned char* byte = ( - (unsigned char*)rop + - (((order == -1) ? i : ((count - 1) - i)) * size) + - ((endian == -1) ? j : ((size - 1) - j)) - ); - - if (j >= (size - nail_bytes)) { - *byte = 0; - continue; - } - - *byte = (unsigned char)((j == ((size - nail_bytes) - 1)) ? (t.dp[0] & odd_nail_mask) : (t.dp[0] & 0xFF)); - - if ((result = mp_div_2d(&t, ((j == ((size - nail_bytes) - 1)) ? (8 - odd_nails) : 8), &t, NULL)) != MP_OKAY) { - mp_clear(&t); - return result; - } - } - } - - mp_clear(&t); - - if (countp != NULL) { - *countp = count; - } - - return MP_OKAY; -} - -#endif - -/* $Source$ */ -/* $Revision$ */ -/* $Date$ */ diff --git a/libtommath/bn_mp_get_long.c b/libtommath/bn_mp_get_long.c deleted file mode 100644 index 7c3d0fe..0000000 --- a/libtommath/bn_mp_get_long.c +++ /dev/null @@ -1,41 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_GET_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* get the lower unsigned long of an mp_int, platform dependent */ -unsigned long mp_get_long(mp_int * a) -{ - int i; - unsigned long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)(((sizeof(unsigned long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; - - /* get most significant digit of result */ - res = DIGIT(a,i); - -#if (ULONG_MAX != 0xffffffffuL) || (DIGIT_BIT < 32) - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a,i); - } -#endif - return res; -} -#endif diff --git a/libtommath/bn_mp_get_long_long.c b/libtommath/bn_mp_get_long_long.c deleted file mode 100644 index 4b959e6..0000000 --- a/libtommath/bn_mp_get_long_long.c +++ /dev/null @@ -1,41 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_GET_LONG_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* get the lower unsigned long long of an mp_int, platform dependent */ -unsigned long long mp_get_long_long (mp_int * a) -{ - int i; - unsigned long long res; - - if (a->used == 0) { - return 0; - } - - /* get number of digits of the lsb we have to read */ - i = MIN(a->used,(int)(((sizeof(unsigned long long) * CHAR_BIT) + DIGIT_BIT - 1) / DIGIT_BIT)) - 1; - - /* get most significant digit of result */ - res = DIGIT(a,i); - -#if DIGIT_BIT < 64 - while (--i >= 0) { - res = (res << DIGIT_BIT) | DIGIT(a,i); - } -#endif - return res; -} -#endif diff --git a/libtommath/bn_mp_import.c b/libtommath/bn_mp_import.c deleted file mode 100644 index dd4b8e6..0000000 --- a/libtommath/bn_mp_import.c +++ /dev/null @@ -1,73 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_IMPORT_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* based on gmp's mpz_import. - * see http://gmplib.org/manual/Integer-Import-and-Export.html - */ -int mp_import(mp_int* rop, size_t count, int order, size_t size, - int endian, size_t nails, const void* op) { - int result; - size_t odd_nails, nail_bytes, i, j; - unsigned char odd_nail_mask; - - mp_zero(rop); - - if (endian == 0) { - union { - unsigned int i; - char c[4]; - } lint; - lint.i = 0x01020304; - - endian = (lint.c[0] == 4) ? -1 : 1; - } - - odd_nails = (nails % 8); - odd_nail_mask = 0xff; - for (i = 0; i < odd_nails; ++i) { - odd_nail_mask ^= (1 << (7 - i)); - } - nail_bytes = nails / 8; - - for (i = 0; i < count; ++i) { - for (j = 0; j < (size - nail_bytes); ++j) { - unsigned char byte = *( - (unsigned char*)op + - (((order == 1) ? i : ((count - 1) - i)) * size) + - ((endian == 1) ? (j + nail_bytes) : (((size - 1) - j) - nail_bytes)) - ); - - if ( - (result = mp_mul_2d(rop, ((j == 0) ? (8 - odd_nails) : 8), rop)) != MP_OKAY) { - return result; - } - - rop->dp[0] |= (j == 0) ? (byte & odd_nail_mask) : byte; - rop->used += 1; - } - } - - mp_clamp(rop); - - return MP_OKAY; -} - -#endif - -/* $Source$ */ -/* $Revision$ */ -/* $Date$ */ diff --git a/libtommath/bn_mp_mod_2d.c b/libtommath/bn_mp_mod_2d.c index 926f810..954d64f 100644 --- a/libtommath/bn_mp_mod_2d.c +++ b/libtommath/bn_mp_mod_2d.c @@ -17,7 +17,7 @@ /* calc a value mod 2**b */ int -mp_mod_2d (mp_int * a, int b, mp_int * c) +mp_mod_2d (const mp_int * a, int b, mp_int * c) { int x, res; diff --git a/libtommath/bn_mp_mul_2d.c b/libtommath/bn_mp_mul_2d.c index 9967e46..e9b284e 100644 --- a/libtommath/bn_mp_mul_2d.c +++ b/libtommath/bn_mp_mul_2d.c @@ -16,7 +16,7 @@ */ /* shift left by a certain bit count */ -int mp_mul_2d (mp_int * a, int b, mp_int * c) +int mp_mul_2d (const mp_int * a, int b, mp_int * c) { mp_digit d; int res; diff --git a/libtommath/bn_mp_n_root_ex.c b/libtommath/bn_mp_n_root_ex.c deleted file mode 100644 index 79d1dfb..0000000 --- a/libtommath/bn_mp_n_root_ex.c +++ /dev/null @@ -1,132 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_N_ROOT_EX_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* find the n'th root of an integer - * - * Result found such that (c)**b <= a and (c+1)**b > a - * - * This algorithm uses Newton's approximation - * x[i+1] = x[i] - f(x[i])/f'(x[i]) - * which will find the root in log(N) time where - * each step involves a fair bit. This is not meant to - * find huge roots [square and cube, etc]. - */ -int mp_n_root_ex (mp_int * a, mp_digit b, mp_int * c, int fast) -{ - mp_int t1, t2, t3; - int res, neg; - - /* input must be positive if b is even */ - if (((b & 1) == 0) && (a->sign == MP_NEG)) { - return MP_VAL; - } - - if ((res = mp_init (&t1)) != MP_OKAY) { - return res; - } - - if ((res = mp_init (&t2)) != MP_OKAY) { - goto LBL_T1; - } - - if ((res = mp_init (&t3)) != MP_OKAY) { - goto LBL_T2; - } - - /* if a is negative fudge the sign but keep track */ - neg = a->sign; - a->sign = MP_ZPOS; - - /* t2 = 2 */ - mp_set (&t2, 2); - - do { - /* t1 = t2 */ - if ((res = mp_copy (&t2, &t1)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1 - ((t1**b - a) / (b * t1**(b-1))) */ - - /* t3 = t1**(b-1) */ - if ((res = mp_expt_d_ex (&t1, b - 1, &t3, fast)) != MP_OKAY) { - goto LBL_T3; - } - - /* numerator */ - /* t2 = t1**b */ - if ((res = mp_mul (&t3, &t1, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* t2 = t1**b - a */ - if ((res = mp_sub (&t2, a, &t2)) != MP_OKAY) { - goto LBL_T3; - } - - /* denominator */ - /* t3 = t1**(b-1) * b */ - if ((res = mp_mul_d (&t3, b, &t3)) != MP_OKAY) { - goto LBL_T3; - } - - /* t3 = (t1**b - a)/(b * t1**(b-1)) */ - if ((res = mp_div (&t2, &t3, &t3, NULL)) != MP_OKAY) { - goto LBL_T3; - } - - if ((res = mp_sub (&t1, &t3, &t2)) != MP_OKAY) { - goto LBL_T3; - } - } while (mp_cmp (&t1, &t2) != MP_EQ); - - /* result can be off by a few so check */ - for (;;) { - if ((res = mp_expt_d_ex (&t1, b, &t2, fast)) != MP_OKAY) { - goto LBL_T3; - } - - if (mp_cmp (&t2, a) == MP_GT) { - if ((res = mp_sub_d (&t1, 1, &t1)) != MP_OKAY) { - goto LBL_T3; - } - } else { - break; - } - } - - /* reset the sign of a first */ - a->sign = neg; - - /* set the result */ - mp_exch (&t1, c); - - /* set the sign of the result */ - c->sign = neg; - - res = MP_OKAY; - -LBL_T3:mp_clear (&t3); -LBL_T2:mp_clear (&t2); -LBL_T1:mp_clear (&t1); - return res; -} -#endif - -/* $Source$ */ -/* $Revision$ */ -/* $Date$ */ diff --git a/libtommath/bn_mp_neg.c b/libtommath/bn_mp_neg.c index ea32e46..952a991 100644 --- a/libtommath/bn_mp_neg.c +++ b/libtommath/bn_mp_neg.c @@ -16,7 +16,7 @@ */ /* b = -a */ -int mp_neg (mp_int * a, mp_int * b) +int mp_neg (const mp_int * a, mp_int * b) { int res; if (a != b) { diff --git a/libtommath/bn_mp_radix_size.c b/libtommath/bn_mp_radix_size.c index e5d7772..9c60401 100644 --- a/libtommath/bn_mp_radix_size.c +++ b/libtommath/bn_mp_radix_size.c @@ -66,8 +66,17 @@ int mp_radix_size (mp_int * a, int radix, int *size) } mp_clear (&t); - /* return digs + 1, the 1 is for the NULL byte that would be required. */ - *size = digs + 1; + /* + * return digs + 1, the 1 is for the NULL byte that would be required. + * mp_toradix_n requires a minimum of 3 bytes, so never report less than + * that. + */ + + if ( digs >= 2 ) { + *size = digs + 1; + } else { + *size = 3; + } return MP_OKAY; } diff --git a/libtommath/bn_mp_read_radix.c b/libtommath/bn_mp_read_radix.c index 5c9eb5e..93ccd3b 100644 --- a/libtommath/bn_mp_read_radix.c +++ b/libtommath/bn_mp_read_radix.c @@ -48,7 +48,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) * this allows numbers like 1AB and 1ab to represent the same value * [e.g. in hex] */ - ch = (radix <= 36) ? (char)toupper((int)*str) : *str; + ch = (radix <= 36) ? (char)toupper((unsigned char)*str) : *str; for (y = 0; y < 64; y++) { if (ch == mp_s_rmap[y]) { break; @@ -72,6 +72,13 @@ int mp_read_radix (mp_int * a, const char *str, int radix) ++str; } + /* if an illegal character was found, fail. */ + + if ( *str != '\0' ) { + mp_zero( a ); + return MP_VAL; + } + /* set the sign only if a != 0 */ if (mp_iszero(a) != MP_YES) { a->sign = neg; diff --git a/libtommath/bn_mp_set_long.c b/libtommath/bn_mp_set_long.c deleted file mode 100644 index 281fce7..0000000 --- a/libtommath/bn_mp_set_long.c +++ /dev/null @@ -1,24 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_SET_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* set a platform dependent unsigned long int */ -MP_SET_XLONG(mp_set_long, unsigned long) -#endif - -/* $Source$ */ -/* $Revision$ */ -/* $Date$ */ diff --git a/libtommath/bn_mp_set_long_long.c b/libtommath/bn_mp_set_long_long.c deleted file mode 100644 index 3c4b01a..0000000 --- a/libtommath/bn_mp_set_long_long.c +++ /dev/null @@ -1,24 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_SET_LONG_LONG_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library was designed directly after the MPI library by - * Michael Fromberger but has been written from scratch with - * additional optimizations in place. - * - * The library is free for all purposes without any express - * guarantee it works. - * - * Tom St Denis, tstdenis82@gmail.com, http://libtom.org - */ - -/* set a platform dependent unsigned long long int */ -MP_SET_XLONG(mp_set_long_long, unsigned long long) -#endif - -/* $Source$ */ -/* $Revision$ */ -/* $Date$ */ diff --git a/libtommath/bn_mp_sqrt.c b/libtommath/bn_mp_sqrt.c index 4a52f5e..178059e 100644 --- a/libtommath/bn_mp_sqrt.c +++ b/libtommath/bn_mp_sqrt.c @@ -1,4 +1,5 @@ #include <tommath_private.h> + #ifdef BN_MP_SQRT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -15,11 +16,20 @@ * Tom St Denis, tstdenis82@gmail.com, http://libtom.org */ +#ifndef NO_FLOATING_POINT +#include <math.h> +#endif + /* this function is less generic than mp_n_root, simpler and faster */ int mp_sqrt(mp_int *arg, mp_int *ret) { int res; mp_int t1,t2; + int i, j, k; +#ifndef NO_FLOATING_POINT + volatile double d; + mp_digit dig; +#endif /* must be positive */ if (arg->sign == MP_NEG) { @@ -31,17 +41,72 @@ int mp_sqrt(mp_int *arg, mp_int *ret) mp_zero(ret); return MP_OKAY; } - - if ((res = mp_init_copy(&t1, arg)) != MP_OKAY) { - return res; + + i = (arg->used / 2) - 1; + j = 2 * i; + if ((res = mp_init_size(&t1, i+2)) != MP_OKAY) { + return res; } - + if ((res = mp_init(&t2)) != MP_OKAY) { goto E2; } - /* First approx. (not very bad for large arg) */ - mp_rshd (&t1,t1.used/2); + for (k = 0; k < i; ++k) { + t1.dp[k] = (mp_digit) 0; + } + +#ifndef NO_FLOATING_POINT + + /* Estimate the square root using the hardware floating point unit. */ + + d = 0.0; + for (k = arg->used-1; k >= j; --k) { + d = ldexp(d, DIGIT_BIT) + (double) (arg->dp[k]); + } + + /* + * At this point, d is the nearest floating point number to the most + * significant 1 or 2 mp_digits of arg. Extract its square root. + */ + + d = sqrt(d); + + /* dig is the most significant mp_digit of the square root */ + + dig = (mp_digit) ldexp(d, -DIGIT_BIT); + + /* + * If the most significant digit is nonzero, find the next digit down + * by subtracting DIGIT_BIT times thie most significant digit. + * Subtract one from the result so that our initial estimate is always + * low. + */ + + if (dig) { + t1.used = i+2; + d -= ldexp((double) dig, DIGIT_BIT); + if (d >= 1.0) { + t1.dp[i+1] = dig; + t1.dp[i] = ((mp_digit) d) - 1; + } else { + t1.dp[i+1] = dig-1; + t1.dp[i] = MP_DIGIT_MAX; + } + } else { + t1.used = i+1; + t1.dp[i] = ((mp_digit) d) - 1; + } + +#else + + /* Estimate the square root as having 1 in the most significant place. */ + + t1.used = i + 2; + t1.dp[i+1] = (mp_digit) 1; + t1.dp[i] = (mp_digit) 0; + +#endif /* t1 > 0 */ if ((res = mp_div(arg,&t1,&t2,NULL)) != MP_OKAY) { diff --git a/libtommath/bn_mp_sqrtmod_prime.c b/libtommath/bn_mp_sqrtmod_prime.c deleted file mode 100644 index 968729e..0000000 --- a/libtommath/bn_mp_sqrtmod_prime.c +++ /dev/null @@ -1,124 +0,0 @@ -#include <tommath_private.h> -#ifdef BN_MP_SQRTMOD_PRIME_C -/* LibTomMath, multiple-precision integer library -- Tom St Denis - * - * LibTomMath is a library that provides multiple-precision - * integer arithmetic as well as number theoretic functionality. - * - * The library is free for all purposes without any express - * guarantee it works. - */ - -/* Tonelli-Shanks algorithm - * https://en.wikipedia.org/wiki/Tonelli%E2%80%93Shanks_algorithm - * https://gmplib.org/list-archives/gmp-discuss/2013-April/005300.html - * - */ - -int mp_sqrtmod_prime(mp_int *n, mp_int *prime, mp_int *ret) -{ - int res, legendre; - mp_int t1, C, Q, S, Z, M, T, R, two; - mp_digit i; - - /* first handle the simple cases */ - if (mp_cmp_d(n, 0) == MP_EQ) { - mp_zero(ret); - return MP_OKAY; - } - if (mp_cmp_d(prime, 2) == MP_EQ) return MP_VAL; /* prime must be odd */ - if ((res = mp_jacobi(n, prime, &legendre)) != MP_OKAY) return res; - if (legendre == -1) return MP_VAL; /* quadratic non-residue mod prime */ - - if ((res = mp_init_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL)) != MP_OKAY) { - return res; - } - - /* SPECIAL CASE: if prime mod 4 == 3 - * compute directly: res = n^(prime+1)/4 mod prime - * Handbook of Applied Cryptography algorithm 3.36 - */ - if ((res = mp_mod_d(prime, 4, &i)) != MP_OKAY) goto cleanup; - if (i == 3) { - if ((res = mp_add_d(prime, 1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_exptmod(n, &t1, prime, ret)) != MP_OKAY) goto cleanup; - res = MP_OKAY; - goto cleanup; - } - - /* NOW: Tonelli-Shanks algorithm */ - - /* factor out powers of 2 from prime-1, defining Q and S as: prime-1 = Q*2^S */ - if ((res = mp_copy(prime, &Q)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&Q, 1, &Q)) != MP_OKAY) goto cleanup; - /* Q = prime - 1 */ - mp_zero(&S); - /* S = 0 */ - while (mp_iseven(&Q) != MP_NO) { - if ((res = mp_div_2(&Q, &Q)) != MP_OKAY) goto cleanup; - /* Q = Q / 2 */ - if ((res = mp_add_d(&S, 1, &S)) != MP_OKAY) goto cleanup; - /* S = S + 1 */ - } - - /* find a Z such that the Legendre symbol (Z|prime) == -1 */ - if ((res = mp_set_int(&Z, 2)) != MP_OKAY) goto cleanup; - /* Z = 2 */ - while(1) { - if ((res = mp_jacobi(&Z, prime, &legendre)) != MP_OKAY) goto cleanup; - if (legendre == -1) break; - if ((res = mp_add_d(&Z, 1, &Z)) != MP_OKAY) goto cleanup; - /* Z = Z + 1 */ - } - - if ((res = mp_exptmod(&Z, &Q, prime, &C)) != MP_OKAY) goto cleanup; - /* C = Z ^ Q mod prime */ - if ((res = mp_add_d(&Q, 1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_div_2(&t1, &t1)) != MP_OKAY) goto cleanup; - /* t1 = (Q + 1) / 2 */ - if ((res = mp_exptmod(n, &t1, prime, &R)) != MP_OKAY) goto cleanup; - /* R = n ^ ((Q + 1) / 2) mod prime */ - if ((res = mp_exptmod(n, &Q, prime, &T)) != MP_OKAY) goto cleanup; - /* T = n ^ Q mod prime */ - if ((res = mp_copy(&S, &M)) != MP_OKAY) goto cleanup; - /* M = S */ - if ((res = mp_set_int(&two, 2)) != MP_OKAY) goto cleanup; - - res = MP_VAL; - while (1) { - if ((res = mp_copy(&T, &t1)) != MP_OKAY) goto cleanup; - i = 0; - while (1) { - if (mp_cmp_d(&t1, 1) == MP_EQ) break; - if ((res = mp_exptmod(&t1, &two, prime, &t1)) != MP_OKAY) goto cleanup; - i++; - } - if (i == 0) { - if ((res = mp_copy(&R, ret)) != MP_OKAY) goto cleanup; - res = MP_OKAY; - goto cleanup; - } - if ((res = mp_sub_d(&M, i, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_sub_d(&t1, 1, &t1)) != MP_OKAY) goto cleanup; - if ((res = mp_exptmod(&two, &t1, prime, &t1)) != MP_OKAY) goto cleanup; - /* t1 = 2 ^ (M - i - 1) */ - if ((res = mp_exptmod(&C, &t1, prime, &t1)) != MP_OKAY) goto cleanup; - /* t1 = C ^ (2 ^ (M - i - 1)) mod prime */ - if ((res = mp_sqrmod(&t1, prime, &C)) != MP_OKAY) goto cleanup; - /* C = (t1 * t1) mod prime */ - if ((res = mp_mulmod(&R, &t1, prime, &R)) != MP_OKAY) goto cleanup; - /* R = (R * t1) mod prime */ - if ((res = mp_mulmod(&T, &C, prime, &T)) != MP_OKAY) goto cleanup; - /* T = (T * C) mod prime */ - mp_set(&M, i); - /* M = i */ - } - -cleanup: - mp_clear_multi(&t1, &C, &Q, &S, &Z, &M, &T, &R, &two, NULL); - return res; -} - -#endif diff --git a/libtommath/filter.pl b/libtommath/filter.pl deleted file mode 100755 index a8a50c7..0000000 --- a/libtommath/filter.pl +++ /dev/null @@ -1,34 +0,0 @@ -#!/usr/bin/perl - -# we want to filter every between START_INS and END_INS out and then insert crap from another file (this is fun) - -$dst = shift; -$ins = shift; - -open(SRC,"<$dst"); -open(INS,"<$ins"); -open(TMP,">tmp.delme"); - -$l = 0; -while (<SRC>) { - if ($_ =~ /START_INS/) { - print TMP $_; - $l = 1; - while (<INS>) { - print TMP $_; - } - close INS; 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<Globals> - </Globals> -</VisualStudioProject> diff --git a/libtommath/logs/addsub.png b/libtommath/logs/addsub.png Binary files differindex a5679ac..441c7b2 100644 --- a/libtommath/logs/addsub.png +++ b/libtommath/logs/addsub.png diff --git a/libtommath/logs/expt.png b/libtommath/logs/expt.png Binary files differindex 9ee8bb7..d779cc5 100644 --- a/libtommath/logs/expt.png +++ b/libtommath/logs/expt.png diff --git a/libtommath/logs/index.html b/libtommath/logs/index.html index 4b68c25..8c1ed9d 100644 --- a/libtommath/logs/index.html +++ b/libtommath/logs/index.html @@ -22,6 +22,3 @@ </body> </html> -/* $Source: /cvs/libtom/libtommath/logs/index.html,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:47 $ */ diff --git a/libtommath/logs/invmod.png b/libtommath/logs/invmod.png Binary files differindex 0a8a4ad..9dcd7d8 100644 --- a/libtommath/logs/invmod.png +++ b/libtommath/logs/invmod.png diff --git a/libtommath/logs/mult.png b/libtommath/logs/mult.png Binary files differindex 4f7a4ee..d22e8c8 100644 --- a/libtommath/logs/mult.png +++ b/libtommath/logs/mult.png diff --git a/libtommath/makefile.cygwin_dll b/libtommath/makefile.cygwin_dll index 6feb5b4..59acad3 100644 --- a/libtommath/makefile.cygwin_dll +++ b/libtommath/makefile.cygwin_dll @@ -51,7 +51,3 @@ windll: $(OBJECTS) test: $(OBJECTS) windll gcc $(CFLAGS) demo/demo.c libtommath.dll.a -Wl,--enable-auto-import -o test -s cd mtest ; $(CC) -O3 -fomit-frame-pointer -funroll-loops mtest.c -o mtest -s - -/* $Source: /cvs/libtom/libtommath/makefile.cygwin_dll,v $ */ -/* $Revision: 1.2 $ */ -/* $Date: 2005/05/05 14:38:45 $ */ diff --git a/libtommath/makefile.include b/libtommath/makefile.include deleted file mode 100644 index c862f0f..0000000 --- a/libtommath/makefile.include +++ /dev/null @@ -1,105 +0,0 @@ -# -# Include makefile for libtommath -# - -#version of library -VERSION=1.0 -VERSION_SO=1:0 - -# default make target -default: ${LIBNAME} - -# Compiler and Linker Names -ifndef PREFIX - PREFIX= -endif - -ifeq ($(CC),cc) - CC = $(PREFIX)gcc -endif -LD=$(PREFIX)ld -AR=$(PREFIX)ar -RANLIB=$(PREFIX)ranlib - -ifndef MAKE - MAKE=make -endif - -CFLAGS += -I./ -Wall -Wsign-compare -Wextra -Wshadow - -ifndef NO_ADDTL_WARNINGS -# additional warnings -CFLAGS += -Wsystem-headers -Wdeclaration-after-statement -Wbad-function-cast -Wcast-align -CFLAGS += -Wstrict-prototypes -Wpointer-arith -endif - -ifdef COMPILE_DEBUG -#debug -CFLAGS += -g3 -else - -ifdef COMPILE_SIZE -#for size -CFLAGS += -Os -else - -ifndef IGNORE_SPEED -#for speed -CFLAGS += -O3 -funroll-loops - -#x86 optimizations [should be valid for any GCC install though] -CFLAGS += -fomit-frame-pointer -endif - -endif # COMPILE_SIZE -endif # COMPILE_DEBUG - -# adjust coverage set -ifneq ($(filter $(shell arch), i386 i686 x86_64 amd64 ia64),) - COVERAGE = test_standalone timing - COVERAGE_APP = ./test && ./ltmtest -else - COVERAGE = test_standalone - COVERAGE_APP = ./test -endif - -HEADERS_PUB=tommath.h tommath_class.h tommath_superclass.h -HEADERS=tommath_private.h $(HEADERS_PUB) - -test_standalone: CFLAGS+=-DLTM_DEMO_TEST_VS_MTEST=0 - -#LIBPATH-The directory for libtommath to be installed to. -#INCPATH-The directory to install the header files for libtommath. -#DATAPATH-The directory to install the pdf docs. -LIBPATH?=/usr/lib -INCPATH?=/usr/include -DATAPATH?=/usr/share/doc/libtommath/pdf - -#make the code coverage of the library -# -coverage: CFLAGS += -fprofile-arcs -ftest-coverage -DTIMING_NO_LOGS -coverage: LFLAGS += -lgcov -coverage: LDFLAGS += -lgcov - -coverage: $(COVERAGE) - $(COVERAGE_APP) - -lcov: coverage - rm -f coverage.info - lcov --capture --no-external --no-recursion $(LCOV_ARGS) --output-file coverage.info -q - genhtml coverage.info --output-directory coverage -q - -# target that removes all coverage output -cleancov-clean: - rm -f `find . -type f -name "*.info" | xargs` - rm -rf coverage/ - -# cleans everything - coverage output and standard 'clean' -cleancov: cleancov-clean clean - -clean: - rm -f *.gcda *.gcno *.bat *.o *.a *.obj *.lib *.exe *.dll etclib/*.o demo/demo.o test ltmtest mpitest mtest/mtest mtest/mtest.exe \ - *.idx *.toc *.log *.aux *.dvi *.lof *.ind *.ilg *.ps *.log *.s mpi.c *.da *.dyn *.dpi tommath.tex `find . -type f | grep [~] | xargs` *.lo *.la - rm -rf .libs/ - cd etc ; MAKE=${MAKE} ${MAKE} clean - cd pics ; MAKE=${MAKE} ${MAKE} clean diff --git a/libtommath/mtest/mpi.c b/libtommath/mtest/mpi.c index 48dbe27..567b12d 100644 --- a/libtommath/mtest/mpi.c +++ b/libtommath/mtest/mpi.c @@ -91,7 +91,7 @@ static unsigned int s_mp_defprec = MP_DEFPREC; /* {{{ Constant strings */ /* Constant strings returned by mp_strerror() */ -static const char *mp_err_string[] = { +static const char *const mp_err_string[] = { "unknown result code", /* say what? */ "boolean true", /* MP_OKAY, MP_YES */ "boolean false", /* MP_NO */ diff --git a/libtommath/parsenames.pl b/libtommath/parsenames.pl deleted file mode 100755 index cc57673..0000000 --- a/libtommath/parsenames.pl +++ /dev/null @@ -1,25 +0,0 @@ -#!/usr/bin/perl -# -# Splits the list of files and outputs for makefile type files -# wrapped at 80 chars -# -# Tom St Denis -@a = split(" ", $ARGV[1]); -$b = "$ARGV[0]="; -$len = length($b); -print $b; -foreach my $obj (@a) { - $len = $len + length($obj); - $obj =~ s/\*/\$/; - if ($len > 100) { - printf "\\\n"; - $len = length($obj); - } - print "$obj "; -} - -print "\n\n"; - -# $Source$ -# $Revision$ -# $Date$ diff --git a/libtommath/pics/expt_state.tif b/libtommath/pics/expt_state.tif Binary files differindex cb06e8e..0aaee39 100644 --- a/libtommath/pics/expt_state.tif +++ b/libtommath/pics/expt_state.tif diff --git a/libtommath/pics/primality.tif b/libtommath/pics/primality.tif Binary files differindex 76d6be3..83aafe0 100644 --- a/libtommath/pics/primality.tif +++ b/libtommath/pics/primality.tif diff --git a/libtommath/poster.pdf b/libtommath/poster.pdf Binary files differindex f212c3e..1f705cf 100644 --- a/libtommath/poster.pdf +++ b/libtommath/poster.pdf diff --git a/libtommath/pre_gen/mpi.c b/libtommath/pre_gen/mpi.c index 0d55d73..1b1052a 100644 --- a/libtommath/pre_gen/mpi.c +++ b/libtommath/pre_gen/mpi.c @@ -13,7 +13,7 @@ * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ static const struct { @@ -64,7 +64,7 @@ char *mp_error_to_string(int code) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes the modular inverse via binary extended euclidean algorithm, @@ -216,7 +216,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &B, &D, NULL); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes xR**-1 == x (mod N) via Montgomery Reduction @@ -392,7 +392,7 @@ int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* Fast (comba) multiplier @@ -503,7 +503,7 @@ int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* this is a modified version of fast_s_mul_digs that only produces @@ -605,7 +605,7 @@ int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* the jist of squaring... @@ -723,7 +723,7 @@ int fast_s_mp_sqr (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes a = 2**b @@ -775,7 +775,7 @@ mp_2expt (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* b = |a| @@ -822,7 +822,7 @@ mp_abs (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* high level addition (handles signs) */ @@ -879,7 +879,7 @@ int mp_add (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* single digit addition */ @@ -995,7 +995,7 @@ mp_add_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* d = a + b (mod c) */ @@ -1040,7 +1040,7 @@ mp_addmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* AND two ints together */ @@ -1101,7 +1101,7 @@ mp_and (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* trim unused digits @@ -1149,7 +1149,7 @@ mp_clamp (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* clear one (frees) */ @@ -1197,7 +1197,7 @@ mp_clear (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ #include <stdarg.h> @@ -1235,7 +1235,7 @@ void mp_clear_multi(mp_int *mp, ...) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* compare two ints (signed)*/ @@ -1282,7 +1282,7 @@ mp_cmp (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* compare a digit */ @@ -1330,7 +1330,7 @@ int mp_cmp_d(mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* compare maginitude of two ints (unsigned) */ @@ -1389,7 +1389,7 @@ int mp_cmp_mag (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ static const int lnz[16] = { @@ -1446,7 +1446,7 @@ int mp_cnt_lsb(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* copy, b = a */ @@ -1518,7 +1518,7 @@ mp_copy (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* returns the number of bits in an int */ @@ -1567,7 +1567,7 @@ mp_count_bits (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ #ifdef BN_MP_DIV_SMALL @@ -1863,7 +1863,7 @@ LBL_Q:mp_clear (&q); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* b = a/2 */ @@ -1935,7 +1935,7 @@ int mp_div_2(mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* shift right by a certain bit count (store quotient in c, optional remainder in d) */ @@ -2036,7 +2036,7 @@ int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* divide by three (based on routine from MPI and the GMP manual) */ @@ -2119,7 +2119,7 @@ mp_div_3 (mp_int * a, mp_int *c, mp_digit * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ static int s_is_power_of_two(mp_digit b, int *p) @@ -2238,7 +2238,7 @@ int mp_div_d (mp_int * a, mp_digit b, mp_int * c, mp_digit * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* determines if a number is a valid DR modulus */ @@ -2285,7 +2285,7 @@ int mp_dr_is_modulus(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* reduce "x" in place modulo "n" using the Diminished Radix algorithm. @@ -2383,7 +2383,7 @@ top: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* determines the setup value */ @@ -2419,7 +2419,7 @@ void mp_dr_setup(mp_int *a, mp_digit *d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* swap the elements of two integers, for cases where you can't simply swap the @@ -2457,7 +2457,7 @@ mp_exch (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* calculate c = a**b using a square-multiply algorithm */ @@ -2518,7 +2518,7 @@ int mp_expt_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ @@ -2634,7 +2634,7 @@ int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85 @@ -2959,7 +2959,7 @@ LBL_M: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* Extended euclidean algorithm of (a, b) produces @@ -3045,7 +3045,7 @@ _ERR: mp_clear_multi(&u1, &u2, &u3, &v1, &v2, &v3, &t1, &t2, &t3, &q, &tmp, NULL * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* read a bigint from a file stream in ASCII */ @@ -3116,7 +3116,7 @@ int mp_fread(mp_int *a, int radix, FILE *stream) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ int mp_fwrite(mp_int *a, int radix, FILE *stream) @@ -3172,7 +3172,7 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* Greatest Common Divisor using the binary method */ @@ -3281,7 +3281,7 @@ LBL_U:mp_clear (&v); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* get the lower 32-bits of an mp_int */ @@ -3330,7 +3330,7 @@ unsigned long mp_get_int(mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* grow as required */ @@ -3391,7 +3391,7 @@ int mp_grow (mp_int * a, int size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* init a new mp_int */ @@ -3441,7 +3441,7 @@ int mp_init (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* creates "a" then copies b into it */ @@ -3477,7 +3477,7 @@ int mp_init_copy (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ #include <stdarg.h> @@ -3540,7 +3540,7 @@ int mp_init_multi(mp_int *mp, ...) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* initialize and set a digit */ @@ -3576,7 +3576,7 @@ int mp_init_set (mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* initialize and set a digit */ @@ -3611,7 +3611,7 @@ int mp_init_set_int (mp_int * a, unsigned long b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* init an mp_init for a given size */ @@ -3663,7 +3663,7 @@ int mp_init_size (mp_int * a, int size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* hac 14.61, pp608 */ @@ -3710,7 +3710,7 @@ int mp_invmod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* hac 14.61, pp608 */ @@ -3889,7 +3889,7 @@ LBL_ERR:mp_clear_multi (&x, &y, &u, &v, &A, &B, &C, &D, NULL); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* Check if remainders are possible squares - fast exclude non-squares */ @@ -4002,7 +4002,7 @@ ERR:mp_clear(&t); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes the jacobi c = (a | n) (or Legendre if n is prime) @@ -4111,7 +4111,7 @@ LBL_A1:mp_clear (&a1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* c = |a| * |b| using Karatsuba Multiplication using @@ -4282,7 +4282,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* Karatsuba squaring, computes b = a*a using three @@ -4407,7 +4407,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes least common multiple as |a*b|/(a, b) */ @@ -4471,7 +4471,7 @@ LBL_T: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* shift left a certain amount of digits */ @@ -4542,7 +4542,7 @@ int mp_lshd (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* c = a mod b, 0 <= c < b */ @@ -4594,7 +4594,7 @@ mp_mod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* calc a value mod 2**b */ @@ -4653,7 +4653,7 @@ mp_mod_2d (mp_int * a, int b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ int @@ -4684,7 +4684,7 @@ mp_mod_d (mp_int * a, mp_digit b, mp_digit * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* @@ -4747,7 +4747,7 @@ int mp_montgomery_calc_normalization (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes xR**-1 == x (mod N) via Montgomery Reduction */ @@ -4869,7 +4869,7 @@ mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* setups the montgomery reduction stuff */ @@ -4932,7 +4932,7 @@ mp_montgomery_setup (mp_int * n, mp_digit * rho) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* high level multiplication (handles sign) */ @@ -5002,7 +5002,7 @@ int mp_mul (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* b = a*2 */ @@ -5088,7 +5088,7 @@ int mp_mul_2(mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* shift left by a certain bit count */ @@ -5177,7 +5177,7 @@ int mp_mul_2d (mp_int * a, int b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* multiply by a digit */ @@ -5260,7 +5260,7 @@ mp_mul_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* d = a * b (mod c) */ @@ -5304,7 +5304,7 @@ int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* find the n'th root of an integer @@ -5440,7 +5440,7 @@ LBL_T1:mp_clear (&t1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* b = -a */ @@ -5484,7 +5484,7 @@ int mp_neg (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* OR two ints together */ @@ -5538,7 +5538,7 @@ int mp_or (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* performs one Fermat test. @@ -5604,7 +5604,7 @@ LBL_T:mp_clear (&t); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* determines if an integers is divisible by one @@ -5658,7 +5658,7 @@ int mp_prime_is_divisible (mp_int * a, int *result) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* performs a variable number of rounds of Miller-Rabin @@ -5745,7 +5745,7 @@ LBL_B:mp_clear (&b); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* Miller-Rabin test of "a" to the base of "b" as described in @@ -5852,7 +5852,7 @@ LBL_N1:mp_clear (&n1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* finds the next prime after the number "a" using "t" trials @@ -6026,7 +6026,7 @@ LBL_ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ @@ -6082,7 +6082,7 @@ int mp_prime_rabin_miller_trials(int size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* makes a truly random prime of a given size (bits), @@ -6211,7 +6211,7 @@ error: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* returns size of ASCII reprensentation */ @@ -6293,7 +6293,7 @@ int mp_radix_size (mp_int * a, int radix, int *size) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* chars used in radix conversions */ @@ -6321,7 +6321,7 @@ const char *mp_s_rmap = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrs * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* makes a pseudo-random int of a given size */ @@ -6380,7 +6380,7 @@ mp_rand (mp_int * a, int digits) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* read a string [ASCII] in a given radix */ @@ -6469,7 +6469,7 @@ int mp_read_radix (mp_int * a, const char *str, int radix) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* read signed bin, big endian, first byte is 0==positive or 1==negative */ @@ -6514,7 +6514,7 @@ int mp_read_signed_bin (mp_int * a, const unsigned char *b, int c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* reads a unsigned char array, assumes the msb is stored first [big endian] */ @@ -6573,7 +6573,7 @@ int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* reduces x mod m, assumes 0 < x < m**2, mu is @@ -6677,7 +6677,7 @@ CLEANUP: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* reduces a modulo n where n is of the form 2**p - d */ @@ -6742,7 +6742,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* reduces a modulo n where n is of the form 2**p - d @@ -6808,7 +6808,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* determines the setup value */ @@ -6859,7 +6859,7 @@ int mp_reduce_2k_setup(mp_int *a, mp_digit *d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* determines the setup value */ @@ -6907,7 +6907,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* determines if mp_reduce_2k can be used */ @@ -6963,7 +6963,7 @@ int mp_reduce_is_2k(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* determines if reduce_2k_l can be used */ @@ -7011,7 +7011,7 @@ int mp_reduce_is_2k_l(mp_int *a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* pre-calculate the value required for Barrett reduction @@ -7049,7 +7049,7 @@ int mp_reduce_setup (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* shift right a certain amount of digits */ @@ -7125,7 +7125,7 @@ void mp_rshd (mp_int * a, int b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* set to a digit */ @@ -7158,7 +7158,7 @@ void mp_set (mp_int * a, mp_digit b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* set a 32-bit const */ @@ -7210,7 +7210,7 @@ int mp_set_int (mp_int * a, unsigned long b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* shrink a bignum */ @@ -7254,7 +7254,7 @@ int mp_shrink (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* get the size for an signed equivalent */ @@ -7285,7 +7285,7 @@ int mp_signed_bin_size (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* computes b = a*a */ @@ -7347,7 +7347,7 @@ if (a->used >= KARATSUBA_SQR_CUTOFF) { * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* c = a * a (mod b) */ @@ -7379,6 +7379,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) /* Start: bn_mp_sqrt.c */ #include <tommath.h> + #ifdef BN_MP_SQRT_C /* LibTomMath, multiple-precision integer library -- Tom St Denis * @@ -7392,7 +7393,7 @@ mp_sqrmod (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* this function is less generic than mp_n_root, simpler and faster */ @@ -7477,7 +7478,7 @@ E2: mp_clear(&t1); * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* high level subtraction (handles signs) */ @@ -7540,7 +7541,7 @@ mp_sub (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* single digit subtraction */ @@ -7637,7 +7638,7 @@ mp_sub_d (mp_int * a, mp_digit b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* d = a - b (mod c) */ @@ -7683,7 +7684,7 @@ mp_submod (mp_int * a, mp_int * b, mp_int * c, mp_int * d) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* store in signed [big endian] format */ @@ -7720,7 +7721,7 @@ int mp_to_signed_bin (mp_int * a, unsigned char *b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* store in signed [big endian] format */ @@ -7755,7 +7756,7 @@ int mp_to_signed_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* store in unsigned [big endian] format */ @@ -7807,7 +7808,7 @@ int mp_to_unsigned_bin (mp_int * a, unsigned char *b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* store in unsigned [big endian] format */ @@ -7842,7 +7843,7 @@ int mp_to_unsigned_bin_n (mp_int * a, unsigned char *b, unsigned long *outlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* multiplication using the Toom-Cook 3-way algorithm @@ -8130,7 +8131,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* squaring using Toom-Cook 3-way algorithm */ @@ -8360,7 +8361,7 @@ ERR: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* stores a bignum as a ASCII string in a given radix (2..64) */ @@ -8439,7 +8440,7 @@ int mp_toradix (mp_int * a, char *str, int radix) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* stores a bignum as a ASCII string in a given radix (2..64) @@ -8531,7 +8532,7 @@ int mp_toradix_n(mp_int * a, char *str, int radix, int maxlen) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* get the size for an unsigned equivalent */ @@ -8563,7 +8564,7 @@ int mp_unsigned_bin_size (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* XOR two ints together */ @@ -8618,7 +8619,7 @@ mp_xor (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* set to zero */ @@ -8658,7 +8659,7 @@ void mp_zero (mp_int * a) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ const mp_digit ltm_prime_tab[] = { 0x0002, 0x0003, 0x0005, 0x0007, 0x000B, 0x000D, 0x0011, 0x0013, @@ -8723,7 +8724,7 @@ const mp_digit ltm_prime_tab[] = { * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* reverse an array, used for radix code */ @@ -8766,7 +8767,7 @@ bn_reverse (unsigned char *s, int len) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* low level addition, based on HAC pp.594, Algorithm 14.7 */ @@ -8879,7 +8880,7 @@ s_mp_add (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ #ifdef MP_LOW_MEM #define TAB_SIZE 32 @@ -9135,7 +9136,7 @@ LBL_M: * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* multiplies |a| * |b| and only computes upto digs digits of result @@ -9229,7 +9230,7 @@ int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* multiplies |a| * |b| and does not compute the lower digs digits @@ -9314,7 +9315,7 @@ s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* low level squaring, b = a*a, HAC pp.596-597, Algorithm 14.16 */ @@ -9402,7 +9403,7 @@ int s_mp_sqr (mp_int * a, mp_int * b) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* low level subtraction (assumes |a| > |b|), HAC pp.595 Algorithm 14.9 */ @@ -9495,7 +9496,7 @@ s_mp_sub (mp_int * a, mp_int * b, mp_int * c) * The library is free for all purposes without any express * guarantee it works. * - * Tom St Denis, tomstdenis@gmail.com, http://libtom.org + * Tom St Denis, tomstdenis@gmail.com, http://math.libtomcrypt.com */ /* Known optimal configurations diff --git a/libtommath/testme.sh b/libtommath/testme.sh deleted file mode 100755 index 6324525..0000000 --- a/libtommath/testme.sh +++ /dev/null @@ -1,174 +0,0 @@ -#!/bin/bash -# -# return values of this script are: -# 0 success -# 128 a test failed -# >0 the number of timed-out tests - -set -e - -if [ -f /proc/cpuinfo ] -then - MAKE_JOBS=$(( ($(cat /proc/cpuinfo | grep -E '^processor[[:space:]]*:' | tail -n -1 | cut -d':' -f2) + 1) * 2 + 1 )) -else - MAKE_JOBS=8 -fi - -ret=0 -TEST_CFLAGS="" - -_help() -{ - echo "Usage options for $(basename $0) [--with-cc=arg [other options]]" - echo - echo "Executing this script without any parameter will only run the default configuration" - echo "that has automatically been determined for the architecture you're running." - echo - echo " --with-cc=* The compiler(s) to use for the tests" - echo " This is an option that will be iterated." - echo - echo "To be able to specify options a compiler has to be given." - echo "All options will be tested with all MP_xBIT configurations." - echo - echo " --with-{m64,m32,mx32} The architecture(s) to build and test for," - echo " e.g. --with-mx32." - echo " This is an option that will be iterated, multiple selections are possible." - echo " The mx32 architecture is not supported by clang and will not be executed." - echo - echo " --cflags=* Give an option to the compiler," - echo " e.g. --cflags=-g" - echo " This is an option that will always be passed as parameter to CC." - echo - echo " --make-option=* Give an option to make," - echo " e.g. --make-option=\"-f makefile.shared\"" - echo " This is an option that will always be passed as parameter to make." - echo - echo "Godmode:" - echo - echo " --all Choose all architectures and gcc and clang as compilers" - echo - echo " --help This message" - exit 0 -} - -_die() -{ - echo "error $2 while $1" - if [ "$2" != "124" ] - then - exit 128 - else - echo "assuming timeout while running test - continue" - ret=$(( $ret + 1 )) - fi -} - -_runtest() -{ - echo -ne " Compile $1 $2" - make clean > /dev/null - CC="$1" CFLAGS="$2 $TEST_CFLAGS" make -j$MAKE_JOBS test_standalone $MAKE_OPTIONS > /dev/null 2>test_errors.txt - echo -e "\rRun test $1 $2" - timeout --foreground 90 ./test > test_$(echo ${1}${2} | tr ' ' '_').txt || _die "running tests" $? -} - -_banner() -{ - echo "uname="$(uname -a) - [[ "$#" != "0" ]] && (echo $1=$($1 -dumpversion)) || true -} - -_exit() -{ - if [ "$ret" == "0" ] - then - echo "Tests successful" - else - echo "$ret tests timed out" - fi - - exit $ret -} - -ARCHFLAGS="" -COMPILERS="" -CFLAGS="" - -while [ $# -gt 0 ]; -do - case $1 in - "--with-m64" | "--with-m32" | "--with-mx32") - ARCHFLAGS="$ARCHFLAGS ${1:6}" - ;; - --with-cc=*) - COMPILERS="$COMPILERS ${1#*=}" - ;; - --cflags=*) - CFLAGS="$CFLAGS ${1#*=}" - ;; - --make-option=*) - MAKE_OPTIONS="$MAKE_OPTIONS ${1#*=}" - ;; - --all) - COMPILERS="gcc clang" - ARCHFLAGS="-m64 -m32 -mx32" - ;; - --help) - _help - ;; - esac - shift -done - -# default to gcc if nothing is given -if [[ "$COMPILERS" == "" ]] -then - _banner gcc - _runtest "gcc" "" - _exit -fi - -archflags=( $ARCHFLAGS ) -compilers=( $COMPILERS ) - -# choosing a compiler without specifying an architecture will use the default architecture -if [ "${#archflags[@]}" == "0" ] -then - archflags[0]=" " -fi - -_banner - -for i in "${compilers[@]}" -do - if [ -z "$(which $i)" ] - then - echo "Skipped compiler $i, file not found" - continue - fi - compiler_version=$(echo "$i="$($i -dumpversion)) - if [ "$compiler_version" == "clang=4.2.1" ] - then - # one of my versions of clang complains about some stuff in stdio.h and stdarg.h ... - TEST_CFLAGS="-Wno-typedef-redefinition" - else - TEST_CFLAGS="" - fi - echo $compiler_version - - for a in "${archflags[@]}" - do - if [[ $(expr "$i" : "clang") && "$a" == "-mx32" ]] - then - echo "clang -mx32 tests skipped" - continue - fi - - _runtest "$i $a" "" - _runtest "$i $a" "-DMP_8BIT" - _runtest "$i $a" "-DMP_16BIT" - _runtest "$i $a" "-DMP_32BIT" - done -done - -_exit diff --git a/libtommath/tommath.h b/libtommath/tommath.h index 4c66e15..da0e473 100644 --- a/libtommath/tommath.h +++ b/libtommath/tommath.h @@ -243,7 +243,7 @@ int mp_init_set (mp_int * a, mp_digit b); int mp_init_set_int (mp_int * a, unsigned long b); /* copy, b = a */ -int mp_copy(mp_int *a, mp_int *b); +int mp_copy(const mp_int *a, mp_int *b); /* inits and copies, a = b */ int mp_init_copy(mp_int *a, mp_int *b); @@ -266,19 +266,19 @@ void mp_rshd(mp_int *a, int b); int mp_lshd(mp_int *a, int b); /* c = a / 2**b, implemented as c = a >> b */ -int mp_div_2d(mp_int *a, int b, mp_int *c, mp_int *d); +int mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d); /* b = a/2 */ int mp_div_2(mp_int *a, mp_int *b); /* c = a * 2**b, implemented as c = a << b */ -int mp_mul_2d(mp_int *a, int b, mp_int *c); +int mp_mul_2d(const mp_int *a, int b, mp_int *c); /* b = a*2 */ int mp_mul_2(mp_int *a, mp_int *b); /* c = a mod 2**b */ -int mp_mod_2d(mp_int *a, int b, mp_int *c); +int mp_mod_2d(const mp_int *a, int b, mp_int *c); /* computes a = 2**b */ int mp_2expt(mp_int *a, int b); @@ -304,16 +304,16 @@ int mp_and(mp_int *a, mp_int *b, mp_int *c); /* ---> Basic arithmetic <--- */ /* b = -a */ -int mp_neg(mp_int *a, mp_int *b); +int mp_neg(const mp_int *a, mp_int *b); /* b = |a| */ int mp_abs(mp_int *a, mp_int *b); /* compare a to b */ -int mp_cmp(mp_int *a, mp_int *b); +int mp_cmp(const mp_int *a, const mp_int *b); /* compare |a| to |b| */ -int mp_cmp_mag(mp_int *a, mp_int *b); +int mp_cmp_mag(const mp_int *a, const mp_int *b); /* c = a + b */ int mp_add(mp_int *a, mp_int *b, mp_int *c); @@ -336,7 +336,7 @@ int mp_mod(mp_int *a, mp_int *b, mp_int *c); /* ---> single digit functions <--- */ /* compare against a single digit */ -int mp_cmp_d(mp_int *a, mp_digit b); +int mp_cmp_d(const mp_int *a, mp_digit b); /* c = a + b */ int mp_add_d(mp_int *a, mp_digit b, mp_int *c); @@ -460,9 +460,9 @@ int mp_exptmod(mp_int *a, mp_int *b, mp_int *c, mp_int *d); /* number of primes */ #ifdef MP_8BIT - #define PRIME_SIZE 31 +# define PRIME_SIZE 31 #else - #define PRIME_SIZE 256 +# define PRIME_SIZE 256 #endif /* table of first PRIME_SIZE primes */ @@ -529,7 +529,7 @@ int mp_prime_next_prime(mp_int *a, int t, int bbs_style); int mp_prime_random_ex(mp_int *a, int t, int size, int flags, ltm_prime_callback cb, void *dat); /* ---> radix conversion <--- */ -int mp_count_bits(mp_int *a); +int mp_count_bits(const mp_int *a); int mp_unsigned_bin_size(mp_int *a); int mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c); @@ -564,7 +564,7 @@ int mp_fwrite(mp_int *a, int radix, FILE *stream); #define mp_tohex(M, S) mp_toradix((M), (S), 16) #ifdef __cplusplus - } +} #endif #endif diff --git a/libtommath/tommath.pdf b/libtommath/tommath.pdf Binary files differindex 6a6787e..c9571d8 100644 --- a/libtommath/tommath.pdf +++ b/libtommath/tommath.pdf diff --git a/libtommath/tommath_private.h b/libtommath/tommath_private.h index bc7cd35..f054fed 100644 --- a/libtommath/tommath_private.h +++ b/libtommath/tommath_private.h @@ -18,6 +18,8 @@ #include <tommath.h> #include <ctype.h> +#if 0 + #define MIN(x,y) (((x) < (y)) ? (x) : (y)) #define MAX(x,y) (((x) > (y)) ? (x) : (y)) @@ -35,6 +37,7 @@ extern "C" { #endif + /* define heap macros */ #ifndef XMALLOC /* default to libc stuff */ @@ -106,6 +109,7 @@ int func_name (mp_int * a, type b) \ mp_clamp (a); \ return MP_OKAY; \ } +#endif #ifdef __cplusplus } diff --git a/libtommath/updatemakes.sh b/libtommath/updatemakes.sh deleted file mode 100755 index 54c3b84..0000000 --- a/libtommath/updatemakes.sh +++ /dev/null @@ -1,33 +0,0 @@ -#!/bin/bash - -bash genlist.sh > tmplist - -perl filter.pl makefile tmplist -sed -e 's/ *$//' < tmp.delme > makefile -rm -f tmp.delme - -perl filter.pl makefile.icc tmplist -sed -e 's/ *$//' < tmp.delme > makefile.icc -rm -f tmp.delme - -perl filter.pl makefile.shared tmplist -sed -e 's/ *$//' < tmp.delme > makefile.shared -rm -f tmp.delme - -perl filter.pl makefile.cygwin_dll tmplist -sed -e 's/ *$//' < tmp.delme > makefile.cygwin_dll -rm -f tmp.delme - -perl filter.pl makefile.bcc tmplist -sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.bcc -rm -f tmp.delme - -perl filter.pl makefile.msvc tmplist -sed -e 's/\.o /.obj /g' -e 's/ *$//' < tmp.delme > makefile.msvc -rm -f tmp.delme - -rm -f tmplist - -# $Source$ -# $Revision$ -# $Date$ |
