1/* 2 * Copyright 1995-2021 The OpenSSL Project Authors. All Rights Reserved. 3 * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved 4 * 5 * Licensed under the Apache License 2.0 (the "License"). You may not use 6 * this file except in compliance with the License. You can obtain a copy 7 * in the file LICENSE in the source distribution or at 8 * https://www.openssl.org/source/license.html 9 */ 10 11#ifndef OPENSSL_BN_H 12# define OPENSSL_BN_H 13# pragma once 14 15# include <openssl/macros.h> 16# ifndef OPENSSL_NO_DEPRECATED_3_0 17# define HEADER_BN_H 18# endif 19 20# include <openssl/e_os2.h> 21# ifndef OPENSSL_NO_STDIO 22# include <stdio.h> 23# endif 24# include <openssl/opensslconf.h> 25# include <openssl/types.h> 26# include <openssl/crypto.h> 27# include <openssl/bnerr.h> 28 29#ifdef __cplusplus 30extern "C" { 31#endif 32 33/* 34 * 64-bit processor with LP64 ABI 35 */ 36# ifdef SIXTY_FOUR_BIT_LONG 37# define BN_ULONG unsigned long 38# define BN_BYTES 8 39# endif 40 41/* 42 * 64-bit processor other than LP64 ABI 43 */ 44# ifdef SIXTY_FOUR_BIT 45# define BN_ULONG unsigned long long 46# define BN_BYTES 8 47# endif 48 49# ifdef THIRTY_TWO_BIT 50# define BN_ULONG unsigned int 51# define BN_BYTES 4 52# endif 53 54# define BN_BITS2 (BN_BYTES * 8) 55# define BN_BITS (BN_BITS2 * 2) 56# define BN_TBIT ((BN_ULONG)1 << (BN_BITS2 - 1)) 57 58# define BN_FLG_MALLOCED 0x01 59# define BN_FLG_STATIC_DATA 0x02 60 61/* 62 * avoid leaking exponent information through timing, 63 * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime, 64 * BN_div() will call BN_div_no_branch, 65 * BN_mod_inverse() will call bn_mod_inverse_no_branch. 66 */ 67# define BN_FLG_CONSTTIME 0x04 68# define BN_FLG_SECURE 0x08 69 70# ifndef OPENSSL_NO_DEPRECATED_0_9_8 71/* deprecated name for the flag */ 72# define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME 73# define BN_FLG_FREE 0x8000 /* used for debugging */ 74# endif 75 76void BN_set_flags(BIGNUM *b, int n); 77int BN_get_flags(const BIGNUM *b, int n); 78 79/* Values for |top| in BN_rand() */ 80#define BN_RAND_TOP_ANY -1 81#define BN_RAND_TOP_ONE 0 82#define BN_RAND_TOP_TWO 1 83 84/* Values for |bottom| in BN_rand() */ 85#define BN_RAND_BOTTOM_ANY 0 86#define BN_RAND_BOTTOM_ODD 1 87 88/* 89 * get a clone of a BIGNUM with changed flags, for *temporary* use only (the 90 * two BIGNUMs cannot be used in parallel!). Also only for *read only* use. The 91 * value |dest| should be a newly allocated BIGNUM obtained via BN_new() that 92 * has not been otherwise initialised or used. 93 */ 94void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags); 95 96/* Wrapper function to make using BN_GENCB easier */ 97int BN_GENCB_call(BN_GENCB *cb, int a, int b); 98 99BN_GENCB *BN_GENCB_new(void); 100void BN_GENCB_free(BN_GENCB *cb); 101 102/* Populate a BN_GENCB structure with an "old"-style callback */ 103void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *), 104 void *cb_arg); 105 106/* Populate a BN_GENCB structure with a "new"-style callback */ 107void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *), 108 void *cb_arg); 109 110void *BN_GENCB_get_arg(BN_GENCB *cb); 111 112# ifndef OPENSSL_NO_DEPRECATED_3_0 113# define BN_prime_checks 0 /* default: select number of iterations based 114 * on the size of the number */ 115 116/* 117 * BN_prime_checks_for_size() returns the number of Miller-Rabin iterations 118 * that will be done for checking that a random number is probably prime. The 119 * error rate for accepting a composite number as prime depends on the size of 120 * the prime |b|. The error rates used are for calculating an RSA key with 2 primes, 121 * and so the level is what you would expect for a key of double the size of the 122 * prime. 123 * 124 * This table is generated using the algorithm of FIPS PUB 186-4 125 * Digital Signature Standard (DSS), section F.1, page 117. 126 * (https://dx.doi.org/10.6028/NIST.FIPS.186-4) 127 * 128 * The following magma script was used to generate the output: 129 * securitybits:=125; 130 * k:=1024; 131 * for t:=1 to 65 do 132 * for M:=3 to Floor(2*Sqrt(k-1)-1) do 133 * S:=0; 134 * // Sum over m 135 * for m:=3 to M do 136 * s:=0; 137 * // Sum over j 138 * for j:=2 to m do 139 * s+:=(RealField(32)!2)^-(j+(k-1)/j); 140 * end for; 141 * S+:=2^(m-(m-1)*t)*s; 142 * end for; 143 * A:=2^(k-2-M*t); 144 * B:=8*(Pi(RealField(32))^2-6)/3*2^(k-2)*S; 145 * pkt:=2.00743*Log(2)*k*2^-k*(A+B); 146 * seclevel:=Floor(-Log(2,pkt)); 147 * if seclevel ge securitybits then 148 * printf "k: %5o, security: %o bits (t: %o, M: %o)\n",k,seclevel,t,M; 149 * break; 150 * end if; 151 * end for; 152 * if seclevel ge securitybits then break; end if; 153 * end for; 154 * 155 * It can be run online at: 156 * http://magma.maths.usyd.edu.au/calc 157 * 158 * And will output: 159 * k: 1024, security: 129 bits (t: 6, M: 23) 160 * 161 * k is the number of bits of the prime, securitybits is the level we want to 162 * reach. 163 * 164 * prime length | RSA key size | # MR tests | security level 165 * -------------+--------------|------------+--------------- 166 * (b) >= 6394 | >= 12788 | 3 | 256 bit 167 * (b) >= 3747 | >= 7494 | 3 | 192 bit 168 * (b) >= 1345 | >= 2690 | 4 | 128 bit 169 * (b) >= 1080 | >= 2160 | 5 | 128 bit 170 * (b) >= 852 | >= 1704 | 5 | 112 bit 171 * (b) >= 476 | >= 952 | 5 | 80 bit 172 * (b) >= 400 | >= 800 | 6 | 80 bit 173 * (b) >= 347 | >= 694 | 7 | 80 bit 174 * (b) >= 308 | >= 616 | 8 | 80 bit 175 * (b) >= 55 | >= 110 | 27 | 64 bit 176 * (b) >= 6 | >= 12 | 34 | 64 bit 177 */ 178 179# define BN_prime_checks_for_size(b) ((b) >= 3747 ? 3 : \ 180 (b) >= 1345 ? 4 : \ 181 (b) >= 476 ? 5 : \ 182 (b) >= 400 ? 6 : \ 183 (b) >= 347 ? 7 : \ 184 (b) >= 308 ? 8 : \ 185 (b) >= 55 ? 27 : \ 186 /* b >= 6 */ 34) 187# endif 188 189# define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) 190 191int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w); 192int BN_is_zero(const BIGNUM *a); 193int BN_is_one(const BIGNUM *a); 194int BN_is_word(const BIGNUM *a, const BN_ULONG w); 195int BN_is_odd(const BIGNUM *a); 196 197# define BN_one(a) (BN_set_word((a),1)) 198 199void BN_zero_ex(BIGNUM *a); 200 201# if OPENSSL_API_LEVEL > 908 202# define BN_zero(a) BN_zero_ex(a) 203# else 204# define BN_zero(a) (BN_set_word((a),0)) 205# endif 206 207const BIGNUM *BN_value_one(void); 208char *BN_options(void); 209BN_CTX *BN_CTX_new_ex(OSSL_LIB_CTX *ctx); 210BN_CTX *BN_CTX_new(void); 211BN_CTX *BN_CTX_secure_new_ex(OSSL_LIB_CTX *ctx); 212BN_CTX *BN_CTX_secure_new(void); 213void BN_CTX_free(BN_CTX *c); 214void BN_CTX_start(BN_CTX *ctx); 215BIGNUM *BN_CTX_get(BN_CTX *ctx); 216void BN_CTX_end(BN_CTX *ctx); 217int BN_rand_ex(BIGNUM *rnd, int bits, int top, int bottom, 218 unsigned int strength, BN_CTX *ctx); 219int BN_rand(BIGNUM *rnd, int bits, int top, int bottom); 220int BN_priv_rand_ex(BIGNUM *rnd, int bits, int top, int bottom, 221 unsigned int strength, BN_CTX *ctx); 222int BN_priv_rand(BIGNUM *rnd, int bits, int top, int bottom); 223int BN_rand_range_ex(BIGNUM *r, const BIGNUM *range, unsigned int strength, 224 BN_CTX *ctx); 225int BN_rand_range(BIGNUM *rnd, const BIGNUM *range); 226int BN_priv_rand_range_ex(BIGNUM *r, const BIGNUM *range, 227 unsigned int strength, BN_CTX *ctx); 228int BN_priv_rand_range(BIGNUM *rnd, const BIGNUM *range); 229# ifndef OPENSSL_NO_DEPRECATED_3_0 230OSSL_DEPRECATEDIN_3_0 231int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom); 232OSSL_DEPRECATEDIN_3_0 233int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range); 234# endif 235int BN_num_bits(const BIGNUM *a); 236int BN_num_bits_word(BN_ULONG l); 237int BN_security_bits(int L, int N); 238BIGNUM *BN_new(void); 239BIGNUM *BN_secure_new(void); 240void BN_clear_free(BIGNUM *a); 241BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); 242void BN_swap(BIGNUM *a, BIGNUM *b); 243BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret); 244int BN_bn2bin(const BIGNUM *a, unsigned char *to); 245int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen); 246BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret); 247int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen); 248BIGNUM *BN_native2bn(const unsigned char *s, int len, BIGNUM *ret); 249int BN_bn2nativepad(const BIGNUM *a, unsigned char *to, int tolen); 250BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret); 251int BN_bn2mpi(const BIGNUM *a, unsigned char *to); 252int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 253int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 254int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 255int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 256int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 257int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx); 258/** BN_set_negative sets sign of a BIGNUM 259 * \param b pointer to the BIGNUM object 260 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise 261 */ 262void BN_set_negative(BIGNUM *b, int n); 263/** BN_is_negative returns 1 if the BIGNUM is negative 264 * \param b pointer to the BIGNUM object 265 * \return 1 if a < 0 and 0 otherwise 266 */ 267int BN_is_negative(const BIGNUM *b); 268 269int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, 270 BN_CTX *ctx); 271# define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx)) 272int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); 273int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, 274 BN_CTX *ctx); 275int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 276 const BIGNUM *m); 277int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, 278 BN_CTX *ctx); 279int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 280 const BIGNUM *m); 281int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, 282 BN_CTX *ctx); 283int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); 284int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); 285int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m); 286int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, 287 BN_CTX *ctx); 288int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m); 289 290BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); 291BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); 292int BN_mul_word(BIGNUM *a, BN_ULONG w); 293int BN_add_word(BIGNUM *a, BN_ULONG w); 294int BN_sub_word(BIGNUM *a, BN_ULONG w); 295int BN_set_word(BIGNUM *a, BN_ULONG w); 296BN_ULONG BN_get_word(const BIGNUM *a); 297 298int BN_cmp(const BIGNUM *a, const BIGNUM *b); 299void BN_free(BIGNUM *a); 300int BN_is_bit_set(const BIGNUM *a, int n); 301int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); 302int BN_lshift1(BIGNUM *r, const BIGNUM *a); 303int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 304 305int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 306 const BIGNUM *m, BN_CTX *ctx); 307int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 308 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); 309int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, 310 const BIGNUM *m, BN_CTX *ctx, 311 BN_MONT_CTX *in_mont); 312int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, 313 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); 314int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1, 315 const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, 316 BN_CTX *ctx, BN_MONT_CTX *m_ctx); 317int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 318 const BIGNUM *m, BN_CTX *ctx); 319int BN_mod_exp_mont_consttime_x2(BIGNUM *rr1, const BIGNUM *a1, const BIGNUM *p1, 320 const BIGNUM *m1, BN_MONT_CTX *in_mont1, 321 BIGNUM *rr2, const BIGNUM *a2, const BIGNUM *p2, 322 const BIGNUM *m2, BN_MONT_CTX *in_mont2, 323 BN_CTX *ctx); 324 325int BN_mask_bits(BIGNUM *a, int n); 326# ifndef OPENSSL_NO_STDIO 327int BN_print_fp(FILE *fp, const BIGNUM *a); 328# endif 329int BN_print(BIO *bio, const BIGNUM *a); 330int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx); 331int BN_rshift(BIGNUM *r, const BIGNUM *a, int n); 332int BN_rshift1(BIGNUM *r, const BIGNUM *a); 333void BN_clear(BIGNUM *a); 334BIGNUM *BN_dup(const BIGNUM *a); 335int BN_ucmp(const BIGNUM *a, const BIGNUM *b); 336int BN_set_bit(BIGNUM *a, int n); 337int BN_clear_bit(BIGNUM *a, int n); 338char *BN_bn2hex(const BIGNUM *a); 339char *BN_bn2dec(const BIGNUM *a); 340int BN_hex2bn(BIGNUM **a, const char *str); 341int BN_dec2bn(BIGNUM **a, const char *str); 342int BN_asc2bn(BIGNUM **a, const char *str); 343int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 344int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns 345 * -2 for 346 * error */ 347BIGNUM *BN_mod_inverse(BIGNUM *ret, 348 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); 349BIGNUM *BN_mod_sqrt(BIGNUM *ret, 350 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); 351 352void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords); 353 354/* Deprecated versions */ 355# ifndef OPENSSL_NO_DEPRECATED_0_9_8 356OSSL_DEPRECATEDIN_0_9_8 357BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe, 358 const BIGNUM *add, const BIGNUM *rem, 359 void (*callback) (int, int, void *), 360 void *cb_arg); 361OSSL_DEPRECATEDIN_0_9_8 362int BN_is_prime(const BIGNUM *p, int nchecks, 363 void (*callback) (int, int, void *), 364 BN_CTX *ctx, void *cb_arg); 365OSSL_DEPRECATEDIN_0_9_8 366int BN_is_prime_fasttest(const BIGNUM *p, int nchecks, 367 void (*callback) (int, int, void *), 368 BN_CTX *ctx, void *cb_arg, 369 int do_trial_division); 370# endif 371# ifndef OPENSSL_NO_DEPRECATED_3_0 372OSSL_DEPRECATEDIN_3_0 373int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb); 374OSSL_DEPRECATEDIN_3_0 375int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, 376 int do_trial_division, BN_GENCB *cb); 377# endif 378/* Newer versions */ 379int BN_generate_prime_ex2(BIGNUM *ret, int bits, int safe, 380 const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb, 381 BN_CTX *ctx); 382int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add, 383 const BIGNUM *rem, BN_GENCB *cb); 384int BN_check_prime(const BIGNUM *p, BN_CTX *ctx, BN_GENCB *cb); 385 386# ifndef OPENSSL_NO_DEPRECATED_3_0 387OSSL_DEPRECATEDIN_3_0 388int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx); 389 390OSSL_DEPRECATEDIN_3_0 391int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, 392 const BIGNUM *Xp, const BIGNUM *Xp1, 393 const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx, 394 BN_GENCB *cb); 395OSSL_DEPRECATEDIN_3_0 396int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1, 397 BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e, 398 BN_CTX *ctx, BN_GENCB *cb); 399# endif 400 401BN_MONT_CTX *BN_MONT_CTX_new(void); 402int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 403 BN_MONT_CTX *mont, BN_CTX *ctx); 404int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont, 405 BN_CTX *ctx); 406int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont, 407 BN_CTX *ctx); 408void BN_MONT_CTX_free(BN_MONT_CTX *mont); 409int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx); 410BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from); 411BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, CRYPTO_RWLOCK *lock, 412 const BIGNUM *mod, BN_CTX *ctx); 413 414/* BN_BLINDING flags */ 415# define BN_BLINDING_NO_UPDATE 0x00000001 416# define BN_BLINDING_NO_RECREATE 0x00000002 417 418BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod); 419void BN_BLINDING_free(BN_BLINDING *b); 420int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx); 421int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); 422int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); 423int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *); 424int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, 425 BN_CTX *); 426 427int BN_BLINDING_is_current_thread(BN_BLINDING *b); 428void BN_BLINDING_set_current_thread(BN_BLINDING *b); 429int BN_BLINDING_lock(BN_BLINDING *b); 430int BN_BLINDING_unlock(BN_BLINDING *b); 431 432unsigned long BN_BLINDING_get_flags(const BN_BLINDING *); 433void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long); 434BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b, 435 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx, 436 int (*bn_mod_exp) (BIGNUM *r, 437 const BIGNUM *a, 438 const BIGNUM *p, 439 const BIGNUM *m, 440 BN_CTX *ctx, 441 BN_MONT_CTX *m_ctx), 442 BN_MONT_CTX *m_ctx); 443# ifndef OPENSSL_NO_DEPRECATED_0_9_8 444OSSL_DEPRECATEDIN_0_9_8 445void BN_set_params(int mul, int high, int low, int mont); 446OSSL_DEPRECATEDIN_0_9_8 447int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ 448# endif 449 450BN_RECP_CTX *BN_RECP_CTX_new(void); 451void BN_RECP_CTX_free(BN_RECP_CTX *recp); 452int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx); 453int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, 454 BN_RECP_CTX *recp, BN_CTX *ctx); 455int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 456 const BIGNUM *m, BN_CTX *ctx); 457int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, 458 BN_RECP_CTX *recp, BN_CTX *ctx); 459 460# ifndef OPENSSL_NO_EC2M 461 462/* 463 * Functions for arithmetic over binary polynomials represented by BIGNUMs. 464 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is 465 * ignored. Note that input arguments are not const so that their bit arrays 466 * can be expanded to the appropriate size if needed. 467 */ 468 469/* 470 * r = a + b 471 */ 472int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 473# define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) 474/* 475 * r=a mod p 476 */ 477int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); 478/* r = (a * b) mod p */ 479int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 480 const BIGNUM *p, BN_CTX *ctx); 481/* r = (a * a) mod p */ 482int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 483/* r = (1 / b) mod p */ 484int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx); 485/* r = (a / b) mod p */ 486int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 487 const BIGNUM *p, BN_CTX *ctx); 488/* r = (a ^ b) mod p */ 489int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 490 const BIGNUM *p, BN_CTX *ctx); 491/* r = sqrt(a) mod p */ 492int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 493 BN_CTX *ctx); 494/* r^2 + r = a mod p */ 495int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 496 BN_CTX *ctx); 497# define BN_GF2m_cmp(a, b) BN_ucmp((a), (b)) 498/*- 499 * Some functions allow for representation of the irreducible polynomials 500 * as an unsigned int[], say p. The irreducible f(t) is then of the form: 501 * t^p[0] + t^p[1] + ... + t^p[k] 502 * where m = p[0] > p[1] > ... > p[k] = 0. 503 */ 504/* r = a mod p */ 505int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]); 506/* r = (a * b) mod p */ 507int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 508 const int p[], BN_CTX *ctx); 509/* r = (a * a) mod p */ 510int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], 511 BN_CTX *ctx); 512/* r = (1 / b) mod p */ 513int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[], 514 BN_CTX *ctx); 515/* r = (a / b) mod p */ 516int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 517 const int p[], BN_CTX *ctx); 518/* r = (a ^ b) mod p */ 519int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 520 const int p[], BN_CTX *ctx); 521/* r = sqrt(a) mod p */ 522int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, 523 const int p[], BN_CTX *ctx); 524/* r^2 + r = a mod p */ 525int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, 526 const int p[], BN_CTX *ctx); 527int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max); 528int BN_GF2m_arr2poly(const int p[], BIGNUM *a); 529 530# endif 531 532/* 533 * faster mod functions for the 'NIST primes' 0 <= a < p^2 534 */ 535int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 536int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 537int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 538int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 539int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 540 541const BIGNUM *BN_get0_nist_prime_192(void); 542const BIGNUM *BN_get0_nist_prime_224(void); 543const BIGNUM *BN_get0_nist_prime_256(void); 544const BIGNUM *BN_get0_nist_prime_384(void); 545const BIGNUM *BN_get0_nist_prime_521(void); 546 547int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a, 548 const BIGNUM *field, BN_CTX *ctx); 549 550int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range, 551 const BIGNUM *priv, const unsigned char *message, 552 size_t message_len, BN_CTX *ctx); 553 554/* Primes from RFC 2409 */ 555BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn); 556BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn); 557 558/* Primes from RFC 3526 */ 559BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn); 560BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn); 561BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn); 562BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn); 563BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn); 564BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn); 565 566# ifndef OPENSSL_NO_DEPRECATED_1_1_0 567# define get_rfc2409_prime_768 BN_get_rfc2409_prime_768 568# define get_rfc2409_prime_1024 BN_get_rfc2409_prime_1024 569# define get_rfc3526_prime_1536 BN_get_rfc3526_prime_1536 570# define get_rfc3526_prime_2048 BN_get_rfc3526_prime_2048 571# define get_rfc3526_prime_3072 BN_get_rfc3526_prime_3072 572# define get_rfc3526_prime_4096 BN_get_rfc3526_prime_4096 573# define get_rfc3526_prime_6144 BN_get_rfc3526_prime_6144 574# define get_rfc3526_prime_8192 BN_get_rfc3526_prime_8192 575# endif 576 577int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom); 578 579 580# ifdef __cplusplus 581} 582# endif 583#endif 584