diff options
author | jan.nijtmans <nijtmans@users.sourceforge.net> | 2019-11-05 16:37:52 (GMT) |
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committer | jan.nijtmans <nijtmans@users.sourceforge.net> | 2019-11-05 16:37:52 (GMT) |
commit | d010f7c3480b092d396c73d872da43257192a475 (patch) | |
tree | 48d45e13e9c79b85aeddc76a32ca49ce48a9e961 /generic/tclTomMath.h | |
parent | c848a8872a27a167d3eba3391874be66feb637c5 (diff) | |
download | tcl-d010f7c3480b092d396c73d872da43257192a475.zip tcl-d010f7c3480b092d396c73d872da43257192a475.tar.gz tcl-d010f7c3480b092d396c73d872da43257192a475.tar.bz2 |
More WIP: All makefile builds appear to work fine, makefile.vc build still to be done.
Diffstat (limited to 'generic/tclTomMath.h')
-rw-r--r-- | generic/tclTomMath.h | 1093 |
1 files changed, 11 insertions, 1082 deletions
diff --git a/generic/tclTomMath.h b/generic/tclTomMath.h index 557eff1..8cc5cc2 100644 --- a/generic/tclTomMath.h +++ b/generic/tclTomMath.h @@ -1,1090 +1,19 @@ -/* LibTomMath, multiple-precision integer library -- Tom St Denis */ -/* SPDX-License-Identifier: Unlicense */ +#ifndef BN_TCL_H_ +#define BN_TCL_H_ -#ifndef BN_H_ -#define BN_H_ - -#ifndef MP_NO_STDINT +#ifdef MP_NO_STDINT +#ifdef HAVE_STDINT_H # include <stdint.h> -#endif -#include <stddef.h> -#include <limits.h> - -#ifndef MODULE_SCOPE -#define MODULE_SCOPE extern -#endif - -#ifdef LTM_NO_FILE -# warning LTM_NO_FILE has been deprecated, use MP_NO_FILE. -# define MP_NO_FILE -#endif - -#ifndef MP_NO_FILE -# include <stdio.h> -#endif - -#ifdef MP_8BIT -# ifdef _MSC_VER -# pragma message("8-bit (MP_8BIT) support is deprecated and will be dropped completely in the next version.") -# else -# warning "8-bit (MP_8BIT) support is deprecated and will be dropped completely in the next version." -# endif -#endif - -#ifdef __cplusplus -extern "C" { -#endif - -/* MS Visual C++ doesn't have a 128bit type for words, so fall back to 32bit MPI's (where words are 64bit) */ -#if (defined(_WIN32) || defined(__LLP64__) || defined(__e2k__) || defined(__LCC__)) && !defined(MP_32BIT) && !defined(MP_64BIT) -# define MP_32BIT -#endif - -/* detect 64-bit mode if possible */ -#if defined(__x86_64__) || defined(_M_X64) || defined(_M_AMD64) || \ - defined(__powerpc64__) || defined(__ppc64__) || defined(__PPC64__) || \ - defined(__s390x__) || defined(__arch64__) || defined(__aarch64__) || \ - defined(__sparcv9) || defined(__sparc_v9__) || defined(__sparc64__) || \ - defined(__ia64) || defined(__ia64__) || defined(__itanium__) || defined(_M_IA64) || \ - defined(__LP64__) || defined(_LP64) || defined(__64BIT__) -# if !(defined(MP_64BIT) || defined(MP_32BIT) || defined(MP_16BIT) || defined(MP_8BIT)) -# if defined(__GNUC__) && !defined(__hppa) -/* we support 128bit integers only via: __attribute__((mode(TI))) */ -# define MP_64BIT -# else -/* otherwise we fall back to MP_32BIT even on 64bit platforms */ -# define MP_32BIT -# endif -# endif -#endif - -#ifdef MP_DIGIT_BIT -# error Defining MP_DIGIT_BIT is disallowed, use MP_8/16/31/32/64BIT -#endif - -/* some default configurations. - * - * A "mp_digit" must be able to hold MP_DIGIT_BIT + 1 bits - * - * At the very least a mp_digit must be able to hold 7 bits - * [any size beyond that is ok provided it doesn't overflow the data type] - */ - -#ifdef MP_8BIT -typedef unsigned char mp_digit; -# define MP_DIGIT_BIT 7 -#elif defined(MP_16BIT) -typedef unsigned short mp_digit; -# define MP_DIGIT_BIT 15 -#elif defined(MP_64BIT) -/* for GCC only on supported platforms */ -typedef unsigned long long mp_digit; -# define MP_DIGIT_BIT 60 #else -typedef unsigned int mp_digit; -# ifdef MP_31BIT -/* - * This is an extension that uses 31-bit digits. - * Please be aware that not all functions support this size, especially s_mp_mul_digs_fast - * will be reduced to work on small numbers only: - * Up to 8 limbs, 248 bits instead of up to 512 limbs, 15872 bits with MP_28BIT. - */ -# define MP_DIGIT_BIT 31 -# else -/* default case is 28-bit digits, defines MP_28BIT as a handy macro to test */ -# define MP_DIGIT_BIT 28 -# define MP_28BIT -# endif -#endif - -/* otherwise the bits per digit is calculated automatically from the size of a mp_digit */ -#ifndef MP_DIGIT_BIT -# define MP_DIGIT_BIT (((CHAR_BIT * MP_SIZEOF_MP_DIGIT) - 1)) /* bits per digit */ -#endif - -#define MP_MASK ((((mp_digit)1)<<((mp_digit)MP_DIGIT_BIT))-((mp_digit)1)) -#define MP_DIGIT_MAX MP_MASK - -/* Primality generation flags */ -#define MP_PRIME_BBS 0x0001 /* BBS style prime */ -#define MP_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */ -#define MP_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */ - -#ifdef MP_USE_ENUMS -typedef enum { - MP_ZPOS = 0, /* positive */ - MP_NEG = 1 /* negative */ -} mp_sign; -typedef enum { - MP_LT = -1, /* less than */ - MP_EQ = 0, /* equal */ - MP_GT = 1 /* greater than */ -} mp_ord; -typedef enum { - MP_NO = 0, - MP_YES = 1 -} mp_bool; -typedef enum { - MP_OKAY = 0, /* no error */ - MP_ERR = -1, /* unknown error */ - MP_MEM = -2, /* out of mem */ - MP_VAL = -3, /* invalid input */ - MP_ITER = -4, /* maximum iterations reached */ - MP_BUF = -5 /* buffer overflow, supplied buffer too small */ -} mp_err; -typedef enum { - MP_LSB_FIRST = -1, - MP_MSB_FIRST = 1 -} mp_order; -typedef enum { - MP_LITTLE_ENDIAN = -1, - MP_NATIVE_ENDIAN = 0, - MP_BIG_ENDIAN = 1 -} mp_endian; -#else -typedef int mp_sign; -#define MP_ZPOS 0 /* positive integer */ -#define MP_NEG 1 /* negative */ -typedef int mp_ord; -#define MP_LT -1 /* less than */ -#define MP_EQ 0 /* equal to */ -#define MP_GT 1 /* greater than */ -typedef int mp_bool; -#define MP_YES 1 -#define MP_NO 0 -typedef int mp_err; -#define MP_OKAY 0 /* no error */ -#define MP_ERR -1 /* unknown error */ -#define MP_MEM -2 /* out of mem */ -#define MP_VAL -3 /* invalid input */ -#define MP_RANGE (MP_DEPRECATED_PRAGMA("MP_RANGE has been deprecated in favor of MP_VAL") MP_VAL) -#define MP_ITER -4 /* maximum iterations reached */ -#define MP_BUF -5 /* buffer overflow, supplied buffer too small */ -typedef int mp_order; -#define MP_LSB_FIRST -1 -#define MP_MSB_FIRST 1 -typedef int mp_endian; -#define MP_LITTLE_ENDIAN -1 -#define MP_NATIVE_ENDIAN 0 -#define MP_BIG_ENDIAN 1 -#endif - -/* tunable cutoffs */ - -#ifndef MP_FIXED_CUTOFFS -extern int -KARATSUBA_MUL_CUTOFF, -KARATSUBA_SQR_CUTOFF, -TOOM_MUL_CUTOFF, -TOOM_SQR_CUTOFF; -#endif - -/* define this to use lower memory usage routines (exptmods mostly) */ -/* #define MP_LOW_MEM */ - -/* default precision */ -#ifndef MP_PREC -# ifndef MP_LOW_MEM -# define MP_PREC 32 /* default digits of precision */ -# elif defined(MP_8BIT) -# define MP_PREC 16 /* default digits of precision */ -# else -# define MP_PREC 8 /* default digits of precision */ -# endif -#endif - -#if defined(__GNUC__) && __GNUC__ >= 4 -# define MP_NULL_TERMINATED __attribute__((sentinel)) -#else -# define MP_NULL_TERMINATED -#endif - -/* - * MP_WUR - warn unused result - * --------------------------- - * - * The result of functions annotated with MP_WUR must be - * checked and cannot be ignored. - * - * Most functions in libtommath return an error code. - * This error code must be checked in order to prevent crashes or invalid - * results. - * - * If you still want to avoid the error checks for quick and dirty programs - * without robustness guarantees, you can `#define MP_WUR` before including - * tommath.h, disabling the warnings. - */ -#ifndef MP_WUR -# if defined(__GNUC__) && __GNUC__ >= 4 -# define MP_WUR __attribute__((warn_unused_result)) -# else -# define MP_WUR -# endif -#endif - -#if defined(__GNUC__) && (__GNUC__ * 100 + __GNUC_MINOR__ >= 405) -# define MP_DEPRECATED(x) __attribute__((deprecated("replaced by " #x))) -# define PRIVATE_MP_DEPRECATED_PRAGMA(s) _Pragma(#s) -# define MP_DEPRECATED_PRAGMA(s) PRIVATE_MP_DEPRECATED_PRAGMA(GCC warning s) -#elif defined(_MSC_VER) && _MSC_VER >= 1500 -# define MP_DEPRECATED(x) __declspec(deprecated("replaced by " #x)) -# define MP_DEPRECATED_PRAGMA(s) __pragma(message(s)) -#else -# define MP_DEPRECATED(s) -# define MP_DEPRECATED_PRAGMA(s) -#endif - -#define DIGIT_BIT (MP_DEPRECATED_PRAGMA("DIGIT_BIT macro is deprecated, MP_DIGIT_BIT instead") MP_DIGIT_BIT) -#define USED(m) (MP_DEPRECATED_PRAGMA("USED macro is deprecated, use z->used instead") (m)->used) -#define DIGIT(m, k) (MP_DEPRECATED_PRAGMA("DIGIT macro is deprecated, use z->dp instead") (m)->dp[(k)]) -#define SIGN(m) (MP_DEPRECATED_PRAGMA("SIGN macro is deprecated, use z->sign instead") (m)->sign) - -/* the infamous mp_int structure */ -#ifndef MP_INT_DECLARED -#define MP_INT_DECLARED -typedef struct mp_int mp_int; -#endif -struct mp_int { - int used, alloc; - mp_sign sign; - mp_digit *dp; -}; - -/* error code to char* string */ -/* -const char *mp_error_to_string(mp_err code) MP_WUR; -*/ - -/* ---> init and deinit bignum functions <--- */ -/* init a bignum */ -/* -mp_err mp_init(mp_int *a) MP_WUR; -*/ - -/* free a bignum */ -/* -void mp_clear(mp_int *a); -*/ - -/* init a null terminated series of arguments */ -/* -mp_err mp_init_multi(mp_int *mp, ...) MP_NULL_TERMINATED MP_WUR; -*/ - -/* clear a null terminated series of arguments */ -/* -void mp_clear_multi(mp_int *mp, ...) MP_NULL_TERMINATED; -*/ - -/* exchange two ints */ -/* -void mp_exch(mp_int *a, mp_int *b); -*/ - -/* shrink ram required for a bignum */ -/* -mp_err mp_shrink(mp_int *a) MP_WUR; -*/ - -/* grow an int to a given size */ -/* -mp_err mp_grow(mp_int *a, int size) MP_WUR; -*/ - -/* init to a given number of digits */ -/* -mp_err mp_init_size(mp_int *a, int size) MP_WUR; -*/ - -/* ---> Basic Manipulations <--- */ -#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO) -#define mp_isodd(a) (((a)->used != 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO) -#define mp_iseven(a) (((a)->used == 0 || (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO) -#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? MP_YES : MP_NO) - -/* set to zero */ -/* -void mp_zero(mp_int *a); -*/ - -/* get and set doubles */ -/* -double mp_get_double(const mp_int *a) MP_WUR; -*/ -/* -mp_err mp_set_double(mp_int *a, double b) MP_WUR; -*/ - -/* get integer, set integer and init with integer (int32_t) */ -#ifndef MP_NO_STDINT -/* -int32_t mp_get_i32(const mp_int *a) MP_WUR; -*/ -/* -void mp_set_i32(mp_int *a, int32_t b); -*/ -/* -mp_err mp_init_i32(mp_int *a, int32_t b) MP_WUR; -*/ - -/* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint32_t) */ -#define mp_get_u32(a) ((uint32_t)mp_get_i32(a)) -/* -void mp_set_u32(mp_int *a, uint32_t b); -*/ -/* -mp_err mp_init_u32(mp_int *a, uint32_t b) MP_WUR; -*/ - -/* get integer, set integer and init with integer (int64_t) */ -/* -int64_t mp_get_i64(const mp_int *a) MP_WUR; -*/ -/* -void mp_set_i64(mp_int *a, int64_t b); -*/ -/* -mp_err mp_init_i64(mp_int *a, int64_t b) MP_WUR; -*/ - -/* get integer, set integer and init with integer, behaves like two complement for negative numbers (uint64_t) */ -#define mp_get_u64(a) ((uint64_t)mp_get_i64(a)) -/* -void mp_set_u64(mp_int *a, uint64_t b); -*/ -/* -mp_err mp_init_u64(mp_int *a, uint64_t b) MP_WUR; -*/ - -/* get magnitude */ -/* -uint32_t mp_get_mag_u32(const mp_int *a) MP_WUR; -*/ -/* -uint64_t mp_get_mag_u64(const mp_int *a) MP_WUR; -*/ +# include "../compat/stdint.h" #endif -/* -unsigned long mp_get_mag_ul(const mp_int *a) MP_WUR; -*/ -/* -Tcl_WideUInt mp_get_mag_ull(const mp_int *a) MP_WUR; -*/ - -/* get integer, set integer (long) */ -/* -long mp_get_l(const mp_int *a) MP_WUR; -*/ -/* -void mp_set_l(mp_int *a, long b); -*/ -/* -mp_err mp_init_l(mp_int *a, long b) MP_WUR; -*/ - -/* get integer, set integer (unsigned long) */ -#define mp_get_ul(a) ((unsigned long)mp_get_l(a)) -/* -void mp_set_ul(mp_int *a, unsigned long b); -*/ -/* -mp_err mp_init_ul(mp_int *a, unsigned long b) MP_WUR; -*/ - -/* get integer, set integer (Tcl_WideInt) */ -/* -Tcl_WideInt mp_get_ll(const mp_int *a) MP_WUR; -*/ -/* -void mp_set_ll(mp_int *a, Tcl_WideInt b); -*/ -/* -mp_err mp_init_ll(mp_int *a, Tcl_WideInt b) MP_WUR; -*/ - -/* get integer, set integer (Tcl_WideUInt) */ -#define mp_get_ull(a) ((Tcl_WideUInt)mp_get_ll(a)) -/* -void mp_set_ull(mp_int *a, Tcl_WideUInt b); -*/ -/* -mp_err mp_init_ull(mp_int *a, Tcl_WideUInt b) MP_WUR; -*/ - -/* set to single unsigned digit, up to MP_DIGIT_MAX */ -/* -void mp_set(mp_int *a, mp_digit b); -*/ -/* -mp_err mp_init_set(mp_int *a, mp_digit b) MP_WUR; -*/ - -/* get integer, set integer and init with integer (deprecated) */ -/* -MP_DEPRECATED(mp_get_mag_u32/mp_get_u32) unsigned long mp_get_int(const mp_int *a) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_get_mag_ul/mp_get_ul) unsigned long mp_get_long(const mp_int *a) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_get_mag_ull/mp_get_ull) Tcl_WideUInt mp_get_long_long(const mp_int *a) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_set_ul) mp_err mp_set_int(mp_int *a, unsigned long b); -*/ -/* -MP_DEPRECATED(mp_set_ul) mp_err mp_set_long(mp_int *a, unsigned long b); -*/ -/* -MP_DEPRECATED(mp_set_ull) mp_err mp_set_long_long(mp_int *a, Tcl_WideUInt b); -*/ -/* -MP_DEPRECATED(mp_init_ul) mp_err mp_init_set_int(mp_int *a, unsigned long b) MP_WUR; -*/ - -/* copy, b = a */ -/* -mp_err mp_copy(const mp_int *a, mp_int *b) MP_WUR; -*/ - -/* inits and copies, a = b */ -/* -mp_err mp_init_copy(mp_int *a, const mp_int *b) MP_WUR; -*/ - -/* trim unused digits */ -/* -void mp_clamp(mp_int *a); -*/ - - -/* export binary data */ -/* -MP_DEPRECATED(mp_pack) mp_err mp_export(void *rop, size_t *countp, int order, size_t size, - int endian, size_t nails, const mp_int *op) MP_WUR; -*/ - -/* import binary data */ -/* -MP_DEPRECATED(mp_unpack) mp_err mp_import(mp_int *rop, size_t count, int order, - size_t size, int endian, size_t nails, - const void *op) MP_WUR; -*/ - -/* unpack binary data */ -/* -mp_err mp_unpack(mp_int *rop, size_t count, mp_order order, size_t size, mp_endian endian, - size_t nails, const void *op) MP_WUR; -*/ - -/* pack binary data */ -/* -size_t mp_pack_count(const mp_int *a, size_t nails, size_t size) MP_WUR; -*/ -/* -mp_err mp_pack(void *rop, size_t maxcount, size_t *written, mp_order order, size_t size, - mp_endian endian, size_t nails, const mp_int *op) MP_WUR; -*/ - -/* ---> digit manipulation <--- */ - -/* right shift by "b" digits */ -/* -void mp_rshd(mp_int *a, int b); -*/ - -/* left shift by "b" digits */ -/* -mp_err mp_lshd(mp_int *a, int b) MP_WUR; -*/ - -/* c = a / 2**b, implemented as c = a >> b */ -/* -mp_err mp_div_2d(const mp_int *a, int b, mp_int *c, mp_int *d) MP_WUR; -*/ - -/* b = a/2 */ -/* -mp_err mp_div_2(const mp_int *a, mp_int *b) MP_WUR; -*/ - -/* a/3 => 3c + d == a */ -/* -mp_err mp_div_3(const mp_int *a, mp_int *c, mp_digit *d) MP_WUR; -*/ - -/* c = a * 2**b, implemented as c = a << b */ -/* -mp_err mp_mul_2d(const mp_int *a, int b, mp_int *c) MP_WUR; -*/ - -/* b = a*2 */ -/* -mp_err mp_mul_2(const mp_int *a, mp_int *b) MP_WUR; -*/ - -/* c = a mod 2**b */ -/* -mp_err mp_mod_2d(const mp_int *a, int b, mp_int *c) MP_WUR; -*/ - -/* computes a = 2**b */ -/* -mp_err mp_2expt(mp_int *a, int b) MP_WUR; -*/ - -/* Counts the number of lsbs which are zero before the first zero bit */ -/* -int mp_cnt_lsb(const mp_int *a) MP_WUR; -*/ - -/* I Love Earth! */ - -/* makes a pseudo-random mp_int of a given size */ -/* -mp_err mp_rand(mp_int *a, int digits) MP_WUR; -*/ -/* makes a pseudo-random small int of a given size */ -/* -MP_DEPRECATED(mp_rand) mp_err mp_rand_digit(mp_digit *r) MP_WUR; -*/ -/* use custom random data source instead of source provided the platform */ -/* -void mp_rand_source(mp_err(*source)(void *out, size_t size)); -*/ - -#ifdef MP_PRNG_ENABLE_LTM_RNG -# warning MP_PRNG_ENABLE_LTM_RNG has been deprecated, use mp_rand_source instead. -/* A last resort to provide random data on systems without any of the other - * implemented ways to gather entropy. - * It is compatible with `rng_get_bytes()` from libtomcrypt so you could - * provide that one and then set `ltm_rng = rng_get_bytes;` */ -extern unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void)); -extern void (*ltm_rng_callback)(void); #endif - -/* ---> binary operations <--- */ - -/* Checks the bit at position b and returns MP_YES - * if the bit is 1, MP_NO if it is 0 and MP_VAL - * in case of error - */ -/* -MP_DEPRECATED(s_mp_get_bit) int mp_get_bit(const mp_int *a, int b) MP_WUR; -*/ - -/* c = a XOR b (two complement) */ -/* -MP_DEPRECATED(mp_xor) mp_err mp_tc_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ -/* -mp_err mp_xor(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* c = a OR b (two complement) */ -/* -MP_DEPRECATED(mp_or) mp_err mp_tc_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ -/* -mp_err mp_or(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* c = a AND b (two complement) */ -/* -MP_DEPRECATED(mp_and) mp_err mp_tc_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ -/* -mp_err mp_and(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* b = ~a (bitwise not, two complement) */ -/* -mp_err mp_complement(const mp_int *a, mp_int *b) MP_WUR; -*/ - -/* right shift with sign extension */ -/* -MP_DEPRECATED(mp_signed_rsh) mp_err mp_tc_div_2d(const mp_int *a, int b, mp_int *c) MP_WUR; -*/ -/* -mp_err mp_signed_rsh(const mp_int *a, int b, mp_int *c) MP_WUR; -*/ - -/* ---> Basic arithmetic <--- */ - -/* b = -a */ -/* -mp_err mp_neg(const mp_int *a, mp_int *b) MP_WUR; -*/ - -/* b = |a| */ -/* -mp_err mp_abs(const mp_int *a, mp_int *b) MP_WUR; -*/ - -/* compare a to b */ -/* -mp_ord mp_cmp(const mp_int *a, const mp_int *b) MP_WUR; -*/ - -/* compare |a| to |b| */ -/* -mp_ord mp_cmp_mag(const mp_int *a, const mp_int *b) MP_WUR; -*/ - -/* c = a + b */ -/* -mp_err mp_add(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* c = a - b */ -/* -mp_err mp_sub(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* c = a * b */ -/* -mp_err mp_mul(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* b = a*a */ -/* -mp_err mp_sqr(const mp_int *a, mp_int *b) MP_WUR; -*/ - -/* a/b => cb + d == a */ -/* -mp_err mp_div(const mp_int *a, const mp_int *b, mp_int *c, mp_int *d) MP_WUR; -*/ - -/* c = a mod b, 0 <= c < b */ -/* -mp_err mp_mod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* Increment "a" by one like "a++". Changes input! */ -/* -mp_err mp_incr(mp_int *a) MP_WUR; -*/ - -/* Decrement "a" by one like "a--". Changes input! */ -/* -mp_err mp_decr(mp_int *a) MP_WUR; -*/ - -/* ---> single digit functions <--- */ - -/* compare against a single digit */ -/* -mp_ord mp_cmp_d(const mp_int *a, mp_digit b) MP_WUR; -*/ - -/* c = a + b */ -/* -mp_err mp_add_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; -*/ - -/* c = a - b */ -/* -mp_err mp_sub_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; -*/ - -/* c = a * b */ -/* -mp_err mp_mul_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; -*/ - -/* a/b => cb + d == a */ -/* -mp_err mp_div_d(const mp_int *a, mp_digit b, mp_int *c, mp_digit *d) MP_WUR; -*/ - -/* c = a mod b, 0 <= c < b */ -/* -mp_err mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c) MP_WUR; -*/ - -/* ---> number theory <--- */ - -/* d = a + b (mod c) */ -/* -mp_err mp_addmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; -*/ - -/* d = a - b (mod c) */ -/* -mp_err mp_submod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; -*/ - -/* d = a * b (mod c) */ -/* -mp_err mp_mulmod(const mp_int *a, const mp_int *b, const mp_int *c, mp_int *d) MP_WUR; -*/ - -/* c = a * a (mod b) */ -/* -mp_err mp_sqrmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* c = 1/a (mod b) */ -/* -mp_err mp_invmod(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* c = (a, b) */ -/* -mp_err mp_gcd(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* produces value such that U1*a + U2*b = U3 */ -/* -mp_err mp_exteuclid(const mp_int *a, const mp_int *b, mp_int *U1, mp_int *U2, mp_int *U3) MP_WUR; -*/ - -/* c = [a, b] or (a*b)/(a, b) */ -/* -mp_err mp_lcm(const mp_int *a, const mp_int *b, mp_int *c) MP_WUR; -*/ - -/* finds one of the b'th root of a, such that |c|**b <= |a| - * - * returns error if a < 0 and b is even - */ -/* -mp_err mp_root_u32(const mp_int *a, unsigned int b, mp_int *c) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_root_u32) mp_err mp_n_root(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_root_u32) mp_err mp_n_root_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR; -*/ - -/* special sqrt algo */ -/* -mp_err mp_sqrt(const mp_int *arg, mp_int *ret) MP_WUR; -*/ - -/* special sqrt (mod prime) */ -/* -mp_err mp_sqrtmod_prime(const mp_int *n, const mp_int *prime, mp_int *ret) MP_WUR; -*/ - -/* is number a square? */ -/* -mp_err mp_is_square(const mp_int *arg, mp_bool *ret) MP_WUR; -*/ - -/* computes the jacobi c = (a | n) (or Legendre if b is prime) */ -/* -MP_DEPRECATED(mp_kronecker) mp_err mp_jacobi(const mp_int *a, const mp_int *n, int *c) MP_WUR; -*/ - -/* computes the Kronecker symbol c = (a | p) (like jacobi() but with {a,p} in Z */ -/* -mp_err mp_kronecker(const mp_int *a, const mp_int *p, int *c) MP_WUR; -*/ - -/* used to setup the Barrett reduction for a given modulus b */ -/* -mp_err mp_reduce_setup(mp_int *a, const mp_int *b) MP_WUR; -*/ - -/* Barrett Reduction, computes a (mod b) with a precomputed value c - * - * Assumes that 0 < x <= m*m, note if 0 > x > -(m*m) then you can merely - * compute the reduction as -1 * mp_reduce(mp_abs(x)) [pseudo code]. - */ -/* -mp_err mp_reduce(mp_int *x, const mp_int *m, const mp_int *mu) MP_WUR; -*/ - -/* setups the montgomery reduction */ -/* -mp_err mp_montgomery_setup(const mp_int *n, mp_digit *rho) MP_WUR; -*/ - -/* computes a = B**n mod b without division or multiplication useful for - * normalizing numbers in a Montgomery system. - */ -/* -mp_err mp_montgomery_calc_normalization(mp_int *a, const mp_int *b) MP_WUR; -*/ - -/* computes x/R == x (mod N) via Montgomery Reduction */ -/* -mp_err mp_montgomery_reduce(mp_int *x, const mp_int *n, mp_digit rho) MP_WUR; -*/ - -/* returns 1 if a is a valid DR modulus */ -/* -mp_bool mp_dr_is_modulus(const mp_int *a) MP_WUR; -*/ - -/* sets the value of "d" required for mp_dr_reduce */ -/* -void mp_dr_setup(const mp_int *a, mp_digit *d); -*/ - -/* reduces a modulo n using the Diminished Radix method */ -/* -mp_err mp_dr_reduce(mp_int *x, const mp_int *n, mp_digit k) MP_WUR; -*/ - -/* returns true if a can be reduced with mp_reduce_2k */ -/* -mp_bool mp_reduce_is_2k(const mp_int *a) MP_WUR; -*/ - -/* determines k value for 2k reduction */ -/* -mp_err mp_reduce_2k_setup(const mp_int *a, mp_digit *d) MP_WUR; -*/ - -/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ -/* -mp_err mp_reduce_2k(mp_int *a, const mp_int *n, mp_digit d) MP_WUR; -*/ - -/* returns true if a can be reduced with mp_reduce_2k_l */ -/* -mp_bool mp_reduce_is_2k_l(const mp_int *a) MP_WUR; -*/ - -/* determines k value for 2k reduction */ -/* -mp_err mp_reduce_2k_setup_l(const mp_int *a, mp_int *d) MP_WUR; -*/ - -/* reduces a modulo b where b is of the form 2**p - k [0 <= a] */ -/* -mp_err mp_reduce_2k_l(mp_int *a, const mp_int *n, const mp_int *d) MP_WUR; -*/ - -/* Y = G**X (mod P) */ -/* -mp_err mp_exptmod(const mp_int *G, const mp_int *X, const mp_int *P, mp_int *Y) MP_WUR; -*/ - -/* ---> Primes <--- */ - -/* number of primes */ -#ifdef MP_8BIT -# define PRIVATE_MP_PRIME_TAB_SIZE 31 -#else -# define PRIVATE_MP_PRIME_TAB_SIZE 256 -#endif -#define PRIME_SIZE (MP_DEPRECATED_PRAGMA("PRIME_SIZE has been made internal") PRIVATE_MP_PRIME_TAB_SIZE) - -/* result=1 if a is divisible by one of the first PRIME_SIZE primes */ -/* -MP_DEPRECATED(mp_prime_is_prime) mp_err mp_prime_is_divisible(const mp_int *a, mp_bool *result) MP_WUR; -*/ - -/* performs one Fermat test of "a" using base "b". - * Sets result to 0 if composite or 1 if probable prime - */ -/* -mp_err mp_prime_fermat(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR; -*/ - -/* performs one Miller-Rabin test of "a" using base "b". - * Sets result to 0 if composite or 1 if probable prime - */ -/* -mp_err mp_prime_miller_rabin(const mp_int *a, const mp_int *b, mp_bool *result) MP_WUR; -*/ - -/* This gives [for a given bit size] the number of trials required - * such that Miller-Rabin gives a prob of failure lower than 2^-96 - */ -/* -int mp_prime_rabin_miller_trials(int size) MP_WUR; -*/ - -/* performs one strong Lucas-Selfridge test of "a". - * Sets result to 0 if composite or 1 if probable prime - */ -/* -mp_err mp_prime_strong_lucas_selfridge(const mp_int *a, mp_bool *result) MP_WUR; -*/ - -/* performs one Frobenius test of "a" as described by Paul Underwood. - * Sets result to 0 if composite or 1 if probable prime - */ -/* -mp_err mp_prime_frobenius_underwood(const mp_int *N, mp_bool *result) MP_WUR; -*/ - -/* performs t random rounds of Miller-Rabin on "a" additional to - * bases 2 and 3. Also performs an initial sieve of trial - * division. Determines if "a" is prime with probability - * of error no more than (1/4)**t. - * Both a strong Lucas-Selfridge to complete the BPSW test - * and a separate Frobenius test are available at compile time. - * With t<0 a deterministic test is run for primes up to - * 318665857834031151167461. With t<13 (abs(t)-13) additional - * tests with sequential small primes are run starting at 43. - * Is Fips 186.4 compliant if called with t as computed by - * mp_prime_rabin_miller_trials(); - * - * Sets result to 1 if probably prime, 0 otherwise - */ -/* -mp_err mp_prime_is_prime(const mp_int *a, int t, mp_bool *result) MP_WUR; -*/ - -/* finds the next prime after the number "a" using "t" trials - * of Miller-Rabin. - * - * bbs_style = 1 means the prime must be congruent to 3 mod 4 - */ -/* -mp_err mp_prime_next_prime(mp_int *a, int t, int bbs_style) MP_WUR; -*/ - -/* makes a truly random prime of a given size (bytes), - * call with bbs = 1 if you want it to be congruent to 3 mod 4 - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - * The prime generated will be larger than 2^(8*size). - */ -#define mp_prime_random(a, t, size, bbs, cb, dat) (MP_DEPRECATED_PRAGMA("mp_prime_random has been deprecated, use mp_prime_rand instead") mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?MP_PRIME_BBS:0, cb, dat)) - -/* makes a truly random prime of a given size (bits), - * - * Flags are as follows: - * - * MP_PRIME_BBS - make prime congruent to 3 mod 4 - * MP_PRIME_SAFE - make sure (p-1)/2 is prime as well (implies MP_PRIME_BBS) - * MP_PRIME_2MSB_ON - make the 2nd highest bit one - * - * You have to supply a callback which fills in a buffer with random bytes. "dat" is a parameter you can - * have passed to the callback (e.g. a state or something). This function doesn't use "dat" itself - * so it can be NULL - * - */ -/* -mp_err mp_prime_rand(mp_int *a, int t, int size, int flags) MP_WUR; -*/ - -/* Integer logarithm to integer base */ -/* -mp_err mp_log_u32(const mp_int *a, unsigned int base, unsigned int *c) MP_WUR; -*/ - -/* c = a**b */ -/* -mp_err mp_expt_u32(const mp_int *a, unsigned int b, mp_int *c) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_expt_u32) mp_err mp_expt_d(const mp_int *a, mp_digit b, mp_int *c) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_expt_u32) mp_err mp_expt_d_ex(const mp_int *a, mp_digit b, mp_int *c, int fast) MP_WUR; -*/ - -/* ---> radix conversion <--- */ -/* -int mp_count_bits(const mp_int *a) MP_WUR; -*/ - - -/* -MP_DEPRECATED(mp_ubin_size) int mp_unsigned_bin_size(const mp_int *a) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_from_ubin) mp_err mp_read_unsigned_bin(mp_int *a, const unsigned char *b, int c) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_to_ubin) mp_err mp_to_unsigned_bin(const mp_int *a, unsigned char *b) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_to_ubin) mp_err mp_to_unsigned_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR; -*/ - -/* -MP_DEPRECATED(mp_sbin_size) int mp_signed_bin_size(const mp_int *a) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_from_sbin) mp_err mp_read_signed_bin(mp_int *a, const unsigned char *b, int c) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_to_sbin) mp_err mp_to_signed_bin(const mp_int *a, unsigned char *b) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_to_sbin) mp_err mp_to_signed_bin_n(const mp_int *a, unsigned char *b, unsigned long *outlen) MP_WUR; -*/ - -/* -size_t mp_ubin_size(const mp_int *a) MP_WUR; -*/ -/* -mp_err mp_from_ubin(mp_int *a, const unsigned char *buf, size_t size) MP_WUR; -*/ -/* -mp_err mp_to_ubin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) MP_WUR; -*/ - -/* -size_t mp_sbin_size(const mp_int *a) MP_WUR; -*/ -/* -mp_err mp_from_sbin(mp_int *a, const unsigned char *buf, size_t size) MP_WUR; -*/ -/* -mp_err mp_to_sbin(const mp_int *a, unsigned char *buf, size_t maxlen, size_t *written) MP_WUR; -*/ - -/* -mp_err mp_read_radix(mp_int *a, const char *str, int radix) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_to_radix) mp_err mp_toradix(const mp_int *a, char *str, int radix) MP_WUR; -*/ -/* -MP_DEPRECATED(mp_to_radix) mp_err mp_toradix_n(const mp_int *a, char *str, int radix, int maxlen) MP_WUR; -*/ -/* -mp_err mp_to_radix(const mp_int *a, char *str, size_t maxlen, size_t *written, int radix) MP_WUR; -*/ -/* -mp_err mp_radix_size(const mp_int *a, int radix, int *size) MP_WUR; -*/ - -#ifndef MP_NO_FILE -/* -mp_err mp_fread(mp_int *a, int radix, FILE *stream) MP_WUR; -*/ -/* -mp_err mp_fwrite(const mp_int *a, int radix, FILE *stream) MP_WUR; -*/ -#endif - -#define mp_read_raw(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_signed_bin") mp_read_signed_bin((mp), (str), (len))) -#define mp_raw_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_signed_bin_size") mp_signed_bin_size(mp)) -#define mp_toraw(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_signed_bin") mp_to_signed_bin((mp), (str))) -#define mp_read_mag(mp, str, len) (MP_DEPRECATED_PRAGMA("replaced by mp_read_unsigned_bin") mp_read_unsigned_bin((mp), (str), (len)) -#define mp_mag_size(mp) (MP_DEPRECATED_PRAGMA("replaced by mp_unsigned_bin_size") mp_unsigned_bin_size(mp)) -#define mp_tomag(mp, str) (MP_DEPRECATED_PRAGMA("replaced by mp_to_unsigned_bin") mp_to_unsigned_bin((mp), (str))) - -#define mp_tobinary(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_binary") mp_toradix((M), (S), 2)) -#define mp_tooctal(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_octal") mp_toradix((M), (S), 8)) -#define mp_todecimal(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_decimal") mp_toradix((M), (S), 10)) -#define mp_tohex(M, S) (MP_DEPRECATED_PRAGMA("replaced by mp_to_hex") mp_toradix((M), (S), 16)) - -#define mp_to_binary(M, S, N) mp_to_radix((M), (S), (N), NULL, 2) -#define mp_to_octal(M, S, N) mp_to_radix((M), (S), (N), NULL, 8) -#define mp_to_decimal(M, S, N) mp_to_radix((M), (S), (N), NULL, 10) -#define mp_to_hex(M, S, N) mp_to_radix((M), (S), (N), NULL, 16) - -#ifdef __cplusplus -} -#endif - +#include <tommath.h> #include "tclTomMathDecls.h" +#undef mp_iseven +#undef mp_isodd +#define mp_iseven(a) (!mp_isodd(a)) +#define mp_isodd(a) (((a)->used != 0 && (((a)->dp[0] & 1) != 0)) ? MP_YES : MP_NO) + #endif |