321 lines
10 KiB
C
321 lines
10 KiB
C
/* integer.h
|
|
*
|
|
* Copyright (C) 2006-2013 wolfSSL Inc.
|
|
*
|
|
* This file is part of CyaSSL.
|
|
*
|
|
* CyaSSL is free software; you can redistribute it and/or modify
|
|
* it under the terms of the GNU General Public License as published by
|
|
* the Free Software Foundation; either version 2 of the License, or
|
|
* (at your option) any later version.
|
|
*
|
|
* CyaSSL is distributed in the hope that it will be useful,
|
|
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
* GNU General Public License for more details.
|
|
*
|
|
* You should have received a copy of the GNU General Public License
|
|
* along with this program; if not, write to the Free Software
|
|
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
|
|
*/
|
|
|
|
/*
|
|
* Based on public domain LibTomMath 0.38 by Tom St Denis, tomstdenis@iahu.ca,
|
|
* http://math.libtomcrypt.com
|
|
*/
|
|
|
|
|
|
#ifndef CTAO_CRYPT_INTEGER_H
|
|
#define CTAO_CRYPT_INTEGER_H
|
|
|
|
/* may optionally use fast math instead, not yet supported on all platforms and
|
|
may not be faster on all
|
|
*/
|
|
#include <cyassl/ctaocrypt/types.h> /* will set MP_xxBIT if not default */
|
|
#ifdef USE_FAST_MATH
|
|
#include <cyassl/ctaocrypt/tfm.h>
|
|
#else
|
|
|
|
#ifndef CHAR_BIT
|
|
#include <limits.h>
|
|
#endif
|
|
|
|
#include <cyassl/ctaocrypt/mpi_class.h>
|
|
|
|
#ifndef MIN
|
|
#define MIN(x,y) ((x)<(y)?(x):(y))
|
|
#endif
|
|
|
|
#ifndef MAX
|
|
#define MAX(x,y) ((x)>(y)?(x):(y))
|
|
#endif
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
|
|
/* C++ compilers don't like assigning void * to mp_digit * */
|
|
#define OPT_CAST(x) (x *)
|
|
|
|
#else
|
|
|
|
/* C on the other hand doesn't care */
|
|
#define OPT_CAST(x)
|
|
|
|
#endif
|
|
|
|
|
|
/* detect 64-bit mode if possible */
|
|
#if defined(__x86_64__)
|
|
#if !(defined(MP_64BIT) && defined(MP_16BIT) && defined(MP_8BIT))
|
|
#define MP_64BIT
|
|
#endif
|
|
#endif
|
|
|
|
/* some default configurations.
|
|
*
|
|
* A "mp_digit" must be able to hold DIGIT_BIT + 1 bits
|
|
* A "mp_word" must be able to hold 2*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;
|
|
typedef unsigned short mp_word;
|
|
#elif defined(MP_16BIT) || defined(NO_64BIT)
|
|
typedef unsigned short mp_digit;
|
|
typedef unsigned int mp_word;
|
|
#elif defined(MP_64BIT)
|
|
/* for GCC only on supported platforms */
|
|
typedef unsigned long long mp_digit; /* 64 bit type, 128 uses mode(TI) */
|
|
typedef unsigned long mp_word __attribute__ ((mode(TI)));
|
|
|
|
#define DIGIT_BIT 60
|
|
#else
|
|
/* this is the default case, 28-bit digits */
|
|
|
|
#if defined(_MSC_VER) || defined(__BORLANDC__)
|
|
typedef unsigned __int64 ulong64;
|
|
#else
|
|
typedef unsigned long long ulong64;
|
|
#endif
|
|
|
|
typedef unsigned int mp_digit; /* long could be 64 now, changed TAO */
|
|
typedef ulong64 mp_word;
|
|
|
|
#ifdef MP_31BIT
|
|
/* this is an extension that uses 31-bit digits */
|
|
#define DIGIT_BIT 31
|
|
#else
|
|
/* default case is 28-bit digits, defines MP_28BIT as a handy test macro */
|
|
#define DIGIT_BIT 28
|
|
#define MP_28BIT
|
|
#endif
|
|
#endif
|
|
|
|
|
|
/* otherwise the bits per digit is calculated automatically from the size of
|
|
a mp_digit */
|
|
#ifndef DIGIT_BIT
|
|
#define DIGIT_BIT ((int)((CHAR_BIT * sizeof(mp_digit) - 1)))
|
|
/* bits per digit */
|
|
#endif
|
|
|
|
#define MP_DIGIT_BIT DIGIT_BIT
|
|
#define MP_MASK ((((mp_digit)1)<<((mp_digit)DIGIT_BIT))-((mp_digit)1))
|
|
#define MP_DIGIT_MAX MP_MASK
|
|
|
|
/* equalities */
|
|
#define MP_LT -1 /* less than */
|
|
#define MP_EQ 0 /* equal to */
|
|
#define MP_GT 1 /* greater than */
|
|
|
|
#define MP_ZPOS 0 /* positive integer */
|
|
#define MP_NEG 1 /* negative */
|
|
|
|
#define MP_OKAY 0 /* ok result */
|
|
#define MP_MEM -2 /* out of mem */
|
|
#define MP_VAL -3 /* invalid input */
|
|
#define MP_RANGE MP_VAL
|
|
|
|
#define MP_YES 1 /* yes response */
|
|
#define MP_NO 0 /* no response */
|
|
|
|
/* Primality generation flags */
|
|
#define LTM_PRIME_BBS 0x0001 /* BBS style prime */
|
|
#define LTM_PRIME_SAFE 0x0002 /* Safe prime (p-1)/2 == prime */
|
|
#define LTM_PRIME_2MSB_ON 0x0008 /* force 2nd MSB to 1 */
|
|
|
|
typedef int mp_err;
|
|
|
|
/* 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 */
|
|
#else
|
|
#define MP_PREC 1 /* default digits of precision */
|
|
#endif
|
|
#endif
|
|
|
|
/* size of comba arrays, should be at least 2 * 2**(BITS_PER_WORD -
|
|
BITS_PER_DIGIT*2) */
|
|
#define MP_WARRAY (1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1))
|
|
|
|
/* the infamous mp_int structure */
|
|
typedef struct {
|
|
int used, alloc, sign;
|
|
mp_digit *dp;
|
|
} mp_int;
|
|
|
|
/* callback for mp_prime_random, should fill dst with random bytes and return
|
|
how many read [upto len] */
|
|
typedef int ltm_prime_callback(unsigned char *dst, int len, void *dat);
|
|
|
|
|
|
#define USED(m) ((m)->used)
|
|
#define DIGIT(m,k) ((m)->dp[(k)])
|
|
#define SIGN(m) ((m)->sign)
|
|
|
|
|
|
/* ---> Basic Manipulations <--- */
|
|
#define mp_iszero(a) (((a)->used == 0) ? MP_YES : MP_NO)
|
|
#define mp_iseven(a) \
|
|
(((a)->used > 0 && (((a)->dp[0] & 1) == 0)) ? MP_YES : MP_NO)
|
|
#define mp_isodd(a) \
|
|
(((a)->used > 0 && (((a)->dp[0] & 1) == 1)) ? MP_YES : MP_NO)
|
|
|
|
|
|
/* number of primes */
|
|
#ifdef MP_8BIT
|
|
#define PRIME_SIZE 31
|
|
#else
|
|
#define PRIME_SIZE 256
|
|
#endif
|
|
|
|
#define mp_prime_random(a, t, size, bbs, cb, dat) \
|
|
mp_prime_random_ex(a, t, ((size) * 8) + 1, (bbs==1)?LTM_PRIME_BBS:0, cb, dat)
|
|
|
|
#define mp_read_raw(mp, str, len) mp_read_signed_bin((mp), (str), (len))
|
|
#define mp_raw_size(mp) mp_signed_bin_size(mp)
|
|
#define mp_toraw(mp, str) mp_to_signed_bin((mp), (str))
|
|
#define mp_read_mag(mp, str, len) mp_read_unsigned_bin((mp), (str), (len))
|
|
#define mp_mag_size(mp) mp_unsigned_bin_size(mp)
|
|
#define mp_tomag(mp, str) mp_to_unsigned_bin((mp), (str))
|
|
|
|
#define mp_tobinary(M, S) mp_toradix((M), (S), 2)
|
|
#define mp_tooctal(M, S) mp_toradix((M), (S), 8)
|
|
#define mp_todecimal(M, S) mp_toradix((M), (S), 10)
|
|
#define mp_tohex(M, S) mp_toradix((M), (S), 16)
|
|
|
|
#define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1)
|
|
|
|
extern const char *mp_s_rmap;
|
|
|
|
/* 6 functions needed by Rsa */
|
|
int mp_init (mp_int * a);
|
|
void mp_clear (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);
|
|
int mp_to_unsigned_bin (mp_int * a, unsigned char *b);
|
|
int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y);
|
|
/* end functions needed by Rsa */
|
|
|
|
/* functions added to support above needed, removed TOOM and KARATSUBA */
|
|
int mp_count_bits (mp_int * a);
|
|
int mp_leading_bit (mp_int * a);
|
|
int mp_init_copy (mp_int * a, mp_int * b);
|
|
int mp_copy (mp_int * a, mp_int * b);
|
|
int mp_grow (mp_int * a, int size);
|
|
int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d);
|
|
void mp_zero (mp_int * a);
|
|
void mp_clamp (mp_int * a);
|
|
void mp_exch (mp_int * a, mp_int * b);
|
|
void mp_rshd (mp_int * a, int b);
|
|
void mp_rshb (mp_int * a, int b);
|
|
int mp_mod_2d (mp_int * a, int b, mp_int * c);
|
|
int mp_mul_2d (mp_int * a, int b, mp_int * c);
|
|
int mp_lshd (mp_int * a, int b);
|
|
int mp_abs (mp_int * a, mp_int * b);
|
|
int mp_invmod (mp_int * a, mp_int * b, mp_int * c);
|
|
int fast_mp_invmod (mp_int * a, mp_int * b, mp_int * c);
|
|
int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c);
|
|
int mp_cmp_mag (mp_int * a, mp_int * b);
|
|
int mp_cmp (mp_int * a, mp_int * b);
|
|
int mp_cmp_d(mp_int * a, mp_digit b);
|
|
void mp_set (mp_int * a, mp_digit b);
|
|
int mp_mod (mp_int * a, mp_int * b, mp_int * c);
|
|
int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d);
|
|
int mp_div_2(mp_int * a, mp_int * b);
|
|
int mp_add (mp_int * a, mp_int * b, mp_int * c);
|
|
int s_mp_add (mp_int * a, mp_int * b, mp_int * c);
|
|
int s_mp_sub (mp_int * a, mp_int * b, mp_int * c);
|
|
int mp_sub (mp_int * a, mp_int * b, mp_int * c);
|
|
int mp_reduce_is_2k_l(mp_int *a);
|
|
int mp_reduce_is_2k(mp_int *a);
|
|
int mp_dr_is_modulus(mp_int *a);
|
|
int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int);
|
|
int mp_montgomery_setup (mp_int * n, mp_digit * rho);
|
|
int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho);
|
|
int mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho);
|
|
void mp_dr_setup(mp_int *a, mp_digit *d);
|
|
int mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k);
|
|
int mp_reduce_2k(mp_int *a, mp_int *n, mp_digit d);
|
|
int fast_s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
|
|
int s_mp_mul_high_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
|
|
int mp_reduce_2k_setup_l(mp_int *a, mp_int *d);
|
|
int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d);
|
|
int mp_reduce (mp_int * x, mp_int * m, mp_int * mu);
|
|
int mp_reduce_setup (mp_int * a, mp_int * b);
|
|
int s_mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, int redmode);
|
|
int mp_montgomery_calc_normalization (mp_int * a, mp_int * b);
|
|
int s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
|
|
int s_mp_sqr (mp_int * a, mp_int * b);
|
|
int fast_s_mp_mul_digs (mp_int * a, mp_int * b, mp_int * c, int digs);
|
|
int fast_s_mp_sqr (mp_int * a, mp_int * b);
|
|
int mp_init_size (mp_int * a, int size);
|
|
int mp_div_3 (mp_int * a, mp_int *c, mp_digit * d);
|
|
int mp_mul_2(mp_int * a, mp_int * b);
|
|
int mp_mul (mp_int * a, mp_int * b, mp_int * c);
|
|
int mp_sqr (mp_int * a, mp_int * b);
|
|
int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d);
|
|
int mp_mul_d (mp_int * a, mp_digit b, mp_int * c);
|
|
int mp_2expt (mp_int * a, int b);
|
|
int mp_reduce_2k_setup(mp_int *a, mp_digit *d);
|
|
int mp_add_d (mp_int* a, mp_digit b, mp_int* c);
|
|
int mp_set_int (mp_int * a, unsigned long b);
|
|
/* end support added functions */
|
|
|
|
/* added */
|
|
int mp_init_multi(mp_int* a, mp_int* b, mp_int* c, mp_int* d, mp_int* e,
|
|
mp_int* f);
|
|
|
|
#if defined(HAVE_ECC) || defined(CYASSL_KEY_GEN)
|
|
int mp_sqrmod(mp_int* a, mp_int* b, mp_int* c);
|
|
#endif
|
|
#ifdef HAVE_ECC
|
|
int mp_read_radix(mp_int* a, const char* str, int radix);
|
|
#endif
|
|
|
|
#ifdef CYASSL_KEY_GEN
|
|
int mp_prime_is_prime (mp_int * a, int t, int *result);
|
|
int mp_gcd (mp_int * a, mp_int * b, mp_int * c);
|
|
int mp_lcm (mp_int * a, mp_int * b, mp_int * c);
|
|
#endif
|
|
|
|
#if defined(HAVE_ECC) || !defined(NO_PWDBASED) || defined(CYASSL_SNIFFER)
|
|
int mp_sub_d (mp_int * a, mp_digit b, mp_int * c);
|
|
#endif
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|
|
|
|
#endif /* USE_FAST_MATH */
|
|
|
|
#endif /* CTAO_CRYPT_INTEGER_H */
|
|
|