| /* integer.h |
| * |
| * Copyright (C) 2006-2021 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 */ |
| #if defined(WOLFSSL_SP_MATH) || defined(WOLFSSL_SP_MATH_ALL) |
| #include <wolfssl/wolfcrypt/sp_int.h> |
| #elif defined(USE_FAST_MATH) |
| #include <wolfssl/wolfcrypt/tfm.h> |
| #else |
| |
| #include <wolfssl/wolfcrypt/random.h> |
| |
| #ifndef CHAR_BIT |
| #if defined(WOLFSSL_LINUXKM) |
| #include <linux/limits.h> |
| #else |
| #include <limits.h> |
| #endif |
| #endif |
| |
| #include <wolfssl/wolfcrypt/mpi_class.h> |
| |
| |
| #ifdef __cplusplus |
| extern "C" { |
| |
| /* C++ compilers don't like assigning void * to mp_digit * */ |
| #define OPT_CAST(x) (x *) |
| |
| #elif defined(_SH3) |
| |
| /* SuperH SH3 compiler doesn't like assigning voi* 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__) || defined(__aarch64__)) && !(defined (_MSC_VER) && defined(__clang__)) |
| #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 |
| /* 8-bit */ |
| typedef unsigned char mp_digit; |
| typedef unsigned short mp_word; |
| /* don't define DIGIT_BIT, so its calculated below */ |
| #elif defined(MP_16BIT) |
| /* 16-bit */ |
| typedef unsigned int mp_digit; |
| typedef unsigned long mp_word; |
| /* don't define DIGIT_BIT, so its calculated below */ |
| #elif defined(NO_64BIT) |
| /* 32-bit forced to 16-bit */ |
| typedef unsigned short mp_digit; |
| typedef unsigned int mp_word; |
| #define DIGIT_BIT 12 |
| #elif defined(MP_64BIT) |
| /* 64-bit */ |
| /* 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 |
| /* 32-bit default case */ |
| |
| #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 ((mp_word)1 << (sizeof(mp_word) * CHAR_BIT - 2 * DIGIT_BIT + 1)) |
| |
| #ifdef HAVE_WOLF_BIGINT |
| /* raw big integer */ |
| typedef struct WC_BIGINT { |
| byte* buf; |
| word32 len; |
| void* heap; |
| } WC_BIGINT; |
| #define WOLF_BIGINT_DEFINED |
| #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; |
| |
| /* wolf big int and common functions */ |
| #include <wolfssl/wolfcrypt/wolfmath.h> |
| |
| |
| /* 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) && ((a)->sign == MP_ZPOS)) \ |
| ? 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) |
| #define mp_isword(a, w) \ |
| ((((a)->used == 1) && ((a)->dp[0] == w)) || ((w == 0) && ((a)->used == 0)) \ |
| ? MP_YES : MP_NO) |
| |
| /* number of primes */ |
| #ifdef MP_8BIT |
| #define PRIME_SIZE 31 |
| #else |
| #define PRIME_SIZE 256 |
| #endif |
| |
| #ifndef MAX_INVMOD_SZ |
| #if defined(WOLFSSL_MYSQL_COMPATIBLE) |
| #define MAX_INVMOD_SZ 8192 |
| #else |
| #define MAX_INVMOD_SZ 4096 |
| #endif |
| #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_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_RADIX_BIN 2 |
| #define MP_RADIX_OCT 8 |
| #define MP_RADIX_DEC 10 |
| #define MP_RADIX_HEX 16 |
| #define MP_RADIX_MAX 64 |
| |
| #define mp_tobinary(M, S) mp_toradix((M), (S), MP_RADIX_BIN) |
| #define mp_tooctal(M, S) mp_toradix((M), (S), MP_RADIX_OCT) |
| #define mp_todecimal(M, S) mp_toradix((M), (S), MP_RADIX_DEC) |
| #define mp_tohex(M, S) mp_toradix((M), (S), MP_RADIX_HEX) |
| |
| #define s_mp_mul(a, b, c) s_mp_mul_digs(a, b, c, (a)->used + (b)->used + 1) |
| |
| #if defined(HAVE_ECC) || defined(WOLFSSL_KEY_GEN) || defined(HAVE_COMP_KEY) || \ |
| defined(WOLFSSL_DEBUG_MATH) || defined(DEBUG_WOLFSSL) |
| extern const char *mp_s_rmap; |
| #endif |
| |
| /* 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(const 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_to_unsigned_bin_len(mp_int * a, unsigned char *b, int c); |
| MP_API int mp_exptmod (mp_int * G, mp_int * X, mp_int * P, mp_int * Y); |
| MP_API int mp_exptmod_ex (mp_int * G, mp_int * X, int digits, 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 (const 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 (const 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 int mp_cond_swap_ct (mp_int * a, mp_int * b, int c, int m); |
| 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_div_2_mod_ct (mp_int* a, mp_int* b, mp_int* c); |
| 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_exptmod_base_2 (mp_int * X, mp_int * P, mp_int * Y); |
| #define mp_exptmod_nct(G,X,P,Y) mp_exptmod_fast(G,X,P,Y,0) |
| 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); |
| #define mp_montgomery_reduce_ex(x, n, rho, ct) mp_montgomery_reduce (x, n, 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_submod_ct (mp_int* a, mp_int* b, mp_int* c, mp_int* d); |
| MP_API int mp_addmod_ct (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) || !defined(NO_RSA) || \ |
| !defined(NO_DSA) || !defined(NO_DH) |
| MP_API int mp_sqrmod(mp_int* a, mp_int* b, mp_int* c); |
| #endif |
| #if !defined(NO_DSA) || defined(HAVE_ECC) |
| MP_API int mp_read_radix(mp_int* a, const char* str, int radix); |
| #endif |
| |
| #if defined(WOLFSSL_KEY_GEN) || !defined(NO_RSA) || !defined(NO_DSA) || !defined(NO_DH) |
| MP_API int mp_prime_is_prime (mp_int * a, int t, int *result); |
| MP_API int mp_prime_is_prime_ex (mp_int * a, int t, int *result, WC_RNG*); |
| #endif /* WOLFSSL_KEY_GEN NO_RSA NO_DSA NO_DH */ |
| #ifdef WOLFSSL_KEY_GEN |
| 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); |
| |
| |
| #ifdef __cplusplus |
| } |
| #endif |
| |
| |
| #endif /* USE_FAST_MATH */ |
| |
| #endif /* WOLF_CRYPT_INTEGER_H */ |
| |