wolfSSL 3.11.1 for TLS1.3 beta
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Diff: wolfssl/wolfcrypt/integer.h
- Revision:
- 13:80fb167dafdf
- Parent:
- 11:cee25a834751
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/wolfssl/wolfcrypt/integer.h Tue May 30 06:16:19 2017 +0000 @@ -0,0 +1,378 @@ +/* integer.h + * + * Copyright (C) 2006-2016 wolfSSL Inc. + * + * This file is part of wolfSSL. + * + * wolfSSL 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. + * + * wolfSSL 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., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335, USA + */ + + +/* + * Based on public domain LibTomMath 0.38 by Tom St Denis, tomstdenis@iahu.ca, + * http://math.libtomcrypt.com + */ + + +#ifndef WOLF_CRYPT_INTEGER_H +#define WOLF_CRYPT_INTEGER_H + +/* may optionally use fast math instead, not yet supported on all platforms and + may not be faster on all +*/ +#include <wolfssl/wolfcrypt/types.h> /* will set MP_xxBIT if not default */ +#ifdef USE_FAST_MATH + #include <wolfssl/wolfcrypt/tfm.h> +#else + +#include <wolfssl/wolfcrypt/random.h> + +#ifndef CHAR_BIT + #include <limits.h> +#endif + +#include <wolfssl/wolfcrypt/mpi_class.h> + +/* wolf big int and common functions */ +#include <wolfssl/wolfcrypt/wolfmath.h> + + +#ifdef WOLFSSL_PUBLIC_MP + #define MP_API WOLFSSL_API +#else + #define MP_API +#endif + +#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 /* __cplusplus */ + + +/* 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 +/* if intel compiler doesn't provide 128 bit type don't turn on 64bit */ +#if defined(MP_64BIT) && defined(__INTEL_COMPILER) && !defined(HAVE___UINT128_T) + #undef MP_64BIT +#endif + + +/* allow user to define on mp_digit, mp_word, DIGIT_BIT types */ +#ifndef WOLFSSL_BIGINT_TYPES + +/* 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; + #define DIGIT_BIT 12 +#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 + +#endif /* WOLFSSL_BIGINT_TYPES */ + +/* 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_NOT_INF -4 /* point not at infinity */ +#define MP_RANGE MP_NOT_INF + +#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)) + +#ifdef HAVE_WOLF_BIGINT + struct WC_BIGINT; +#endif + +/* the mp_int structure */ +typedef struct mp_int { + int used, alloc, sign; + mp_digit *dp; + +#ifdef HAVE_WOLF_BIGINT + struct WC_BIGINT raw; /* unsigned binary (big endian) */ +#endif +} mp_int; +#define MP_INT_DEFINED + +/* callback for mp_prime_random, should fill dst with random bytes and return + how many read [up to 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_isone(a) \ + (((((a)->used == 1)) && ((a)->dp[0] == 1u)) ? MP_YES : MP_NO) +#define mp_iseven(a) \ + (((a)->used > 0 && (((a)->dp[0] & 1u) == 0u)) ? MP_YES : MP_NO) +#define mp_isodd(a) \ + (((a)->used > 0 && (((a)->dp[0] & 1u) == 1u)) ? MP_YES : MP_NO) +#define mp_isneg(a) (((a)->sign != MP_ZPOS) ? 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 */ +MP_API int mp_init (mp_int * a); +MP_API void mp_clear (mp_int * a); +MP_API void mp_free (mp_int * a); +MP_API void mp_forcezero(mp_int * a); +MP_API int mp_unsigned_bin_size(mp_int * a); +MP_API int mp_read_unsigned_bin (mp_int * a, const unsigned char *b, int c); +MP_API int mp_to_unsigned_bin_at_pos(int x, mp_int *t, unsigned char *b); +MP_API int mp_to_unsigned_bin (mp_int * a, unsigned char *b); +MP_API 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 */ +MP_API int mp_count_bits (mp_int * a); +MP_API int mp_leading_bit (mp_int * a); +MP_API int mp_init_copy (mp_int * a, mp_int * b); +MP_API int mp_copy (mp_int * a, mp_int * b); +MP_API int mp_grow (mp_int * a, int size); +MP_API int mp_div_2d (mp_int * a, int b, mp_int * c, mp_int * d); +MP_API void mp_zero (mp_int * a); +MP_API void mp_clamp (mp_int * a); +MP_API void mp_exch (mp_int * a, mp_int * b); +MP_API void mp_rshd (mp_int * a, int b); +MP_API void mp_rshb (mp_int * a, int b); +MP_API int mp_mod_2d (mp_int * a, int b, mp_int * c); +MP_API int mp_mul_2d (mp_int * a, int b, mp_int * c); +MP_API int mp_lshd (mp_int * a, int b); +MP_API int mp_abs (mp_int * a, mp_int * b); +MP_API 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); +MP_API int mp_invmod_slow (mp_int * a, mp_int * b, mp_int * c); +MP_API int mp_cmp_mag (mp_int * a, mp_int * b); +MP_API int mp_cmp (mp_int * a, mp_int * b); +MP_API int mp_cmp_d(mp_int * a, mp_digit b); +MP_API int mp_set (mp_int * a, mp_digit b); +MP_API int mp_is_bit_set (mp_int * a, mp_digit b); +MP_API int mp_mod (mp_int * a, mp_int * b, mp_int * c); +MP_API int mp_div(mp_int * a, mp_int * b, mp_int * c, mp_int * d); +MP_API int mp_div_2(mp_int * a, mp_int * b); +MP_API 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); +MP_API int mp_sub (mp_int * a, mp_int * b, mp_int * c); +MP_API int mp_reduce_is_2k_l(mp_int *a); +MP_API int mp_reduce_is_2k(mp_int *a); +MP_API int mp_dr_is_modulus(mp_int *a); +MP_API int mp_exptmod_fast (mp_int * G, mp_int * X, mp_int * P, mp_int * Y, + int); +MP_API int mp_montgomery_setup (mp_int * n, mp_digit * rho); +int fast_mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho); +MP_API int mp_montgomery_reduce (mp_int * x, mp_int * n, mp_digit rho); +MP_API void mp_dr_setup(mp_int *a, mp_digit *d); +MP_API int mp_dr_reduce (mp_int * x, mp_int * n, mp_digit k); +MP_API 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); +MP_API int mp_reduce_2k_setup_l(mp_int *a, mp_int *d); +MP_API int mp_reduce_2k_l(mp_int *a, mp_int *n, mp_int *d); +MP_API int mp_reduce (mp_int * x, mp_int * m, mp_int * mu); +MP_API 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); +MP_API 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); +MP_API int mp_init_size (mp_int * a, int size); +MP_API int mp_div_3 (mp_int * a, mp_int *c, mp_digit * d); +MP_API int mp_mul_2(mp_int * a, mp_int * b); +MP_API int mp_mul (mp_int * a, mp_int * b, mp_int * c); +MP_API int mp_sqr (mp_int * a, mp_int * b); +MP_API int mp_mulmod (mp_int * a, mp_int * b, mp_int * c, mp_int * d); +MP_API int mp_submod (mp_int* a, mp_int* b, mp_int* c, mp_int* d); +MP_API int mp_addmod (mp_int* a, mp_int* b, mp_int* c, mp_int* d); +MP_API int mp_mul_d (mp_int * a, mp_digit b, mp_int * c); +MP_API int mp_2expt (mp_int * a, int b); +MP_API int mp_set_bit (mp_int * a, int b); +MP_API int mp_reduce_2k_setup(mp_int *a, mp_digit *d); +MP_API int mp_add_d (mp_int* a, mp_digit b, mp_int* c); +MP_API int mp_set_int (mp_int * a, unsigned long b); +MP_API int mp_sub_d (mp_int * a, mp_digit b, mp_int * c); +/* end support added functions */ + +/* added */ +MP_API int mp_init_multi(mp_int* a, mp_int* b, mp_int* c, mp_int* d, mp_int* e, + mp_int* f); +MP_API int mp_toradix (mp_int *a, char *str, int radix); +MP_API int mp_radix_size (mp_int * a, int radix, int *size); + +#ifdef WOLFSSL_DEBUG_MATH + MP_API void mp_dump(const char* desc, mp_int* a, byte verbose); +#else + #define mp_dump(desc, a, verbose) +#endif + +#if defined(HAVE_ECC) || defined(WOLFSSL_KEY_GEN) + MP_API int mp_sqrmod(mp_int* a, mp_int* b, mp_int* c); +#endif +#if defined(HAVE_ECC) || defined(WOLFSSL_KEY_GEN) + MP_API int mp_read_radix(mp_int* a, const char* str, int radix); +#endif + +#ifdef WOLFSSL_KEY_GEN + MP_API int mp_prime_is_prime (mp_int * a, int t, int *result); + MP_API int mp_gcd (mp_int * a, mp_int * b, mp_int * c); + MP_API int mp_lcm (mp_int * a, mp_int * b, mp_int * c); + MP_API int mp_rand_prime(mp_int* N, int len, WC_RNG* rng, void* heap); +#endif + +MP_API int mp_cnt_lsb(mp_int *a); +MP_API int mp_mod_d(mp_int* a, mp_digit b, mp_digit* c); + + +/* wolf big int and common functions */ +#include <wolfssl/wolfcrypt/wolfmath.h> + + +#ifdef __cplusplus + } +#endif + + +#endif /* USE_FAST_MATH */ + +#endif /* WOLF_CRYPT_INTEGER_H */ + +