bn.h revision 306195
1/* crypto/bn/bn.h */ 2/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com) 3 * All rights reserved. 4 * 5 * This package is an SSL implementation written 6 * by Eric Young (eay@cryptsoft.com). 7 * The implementation was written so as to conform with Netscapes SSL. 8 * 9 * This library is free for commercial and non-commercial use as long as 10 * the following conditions are aheared to. The following conditions 11 * apply to all code found in this distribution, be it the RC4, RSA, 12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation 13 * included with this distribution is covered by the same copyright terms 14 * except that the holder is Tim Hudson (tjh@cryptsoft.com). 15 * 16 * Copyright remains Eric Young's, and as such any Copyright notices in 17 * the code are not to be removed. 18 * If this package is used in a product, Eric Young should be given attribution 19 * as the author of the parts of the library used. 20 * This can be in the form of a textual message at program startup or 21 * in documentation (online or textual) provided with the package. 22 * 23 * Redistribution and use in source and binary forms, with or without 24 * modification, are permitted provided that the following conditions 25 * are met: 26 * 1. Redistributions of source code must retain the copyright 27 * notice, this list of conditions and the following disclaimer. 28 * 2. Redistributions in binary form must reproduce the above copyright 29 * notice, this list of conditions and the following disclaimer in the 30 * documentation and/or other materials provided with the distribution. 31 * 3. All advertising materials mentioning features or use of this software 32 * must display the following acknowledgement: 33 * "This product includes cryptographic software written by 34 * Eric Young (eay@cryptsoft.com)" 35 * The word 'cryptographic' can be left out if the rouines from the library 36 * being used are not cryptographic related :-). 37 * 4. If you include any Windows specific code (or a derivative thereof) from 38 * the apps directory (application code) you must include an acknowledgement: 39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" 40 * 41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND 42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 51 * SUCH DAMAGE. 52 * 53 * The licence and distribution terms for any publically available version or 54 * derivative of this code cannot be changed. i.e. this code cannot simply be 55 * copied and put under another distribution licence 56 * [including the GNU Public Licence.] 57 */ 58/* ==================================================================== 59 * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved. 60 * 61 * Redistribution and use in source and binary forms, with or without 62 * modification, are permitted provided that the following conditions 63 * are met: 64 * 65 * 1. Redistributions of source code must retain the above copyright 66 * notice, this list of conditions and the following disclaimer. 67 * 68 * 2. Redistributions in binary form must reproduce the above copyright 69 * notice, this list of conditions and the following disclaimer in 70 * the documentation and/or other materials provided with the 71 * distribution. 72 * 73 * 3. All advertising materials mentioning features or use of this 74 * software must display the following acknowledgment: 75 * "This product includes software developed by the OpenSSL Project 76 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 77 * 78 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 79 * endorse or promote products derived from this software without 80 * prior written permission. For written permission, please contact 81 * openssl-core@openssl.org. 82 * 83 * 5. Products derived from this software may not be called "OpenSSL" 84 * nor may "OpenSSL" appear in their names without prior written 85 * permission of the OpenSSL Project. 86 * 87 * 6. Redistributions of any form whatsoever must retain the following 88 * acknowledgment: 89 * "This product includes software developed by the OpenSSL Project 90 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 91 * 92 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 93 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 94 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 95 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 96 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 97 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 98 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 99 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 100 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 101 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 102 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 103 * OF THE POSSIBILITY OF SUCH DAMAGE. 104 * ==================================================================== 105 * 106 * This product includes cryptographic software written by Eric Young 107 * (eay@cryptsoft.com). This product includes software written by Tim 108 * Hudson (tjh@cryptsoft.com). 109 * 110 */ 111/* ==================================================================== 112 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 113 * 114 * Portions of the attached software ("Contribution") are developed by 115 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 116 * 117 * The Contribution is licensed pursuant to the Eric Young open source 118 * license provided above. 119 * 120 * The binary polynomial arithmetic software is originally written by 121 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 122 * 123 */ 124 125#ifndef HEADER_BN_H 126# define HEADER_BN_H 127 128# include <limits.h> 129# include <openssl/e_os2.h> 130# ifndef OPENSSL_NO_FP_API 131# include <stdio.h> /* FILE */ 132# endif 133# include <openssl/ossl_typ.h> 134# include <openssl/crypto.h> 135 136#ifdef __cplusplus 137extern "C" { 138#endif 139 140/* 141 * These preprocessor symbols control various aspects of the bignum headers 142 * and library code. They're not defined by any "normal" configuration, as 143 * they are intended for development and testing purposes. NB: defining all 144 * three can be useful for debugging application code as well as openssl 145 * itself. BN_DEBUG - turn on various debugging alterations to the bignum 146 * code BN_DEBUG_RAND - uses random poisoning of unused words to trip up 147 * mismanagement of bignum internals. You must also define BN_DEBUG. 148 */ 149/* #define BN_DEBUG */ 150/* #define BN_DEBUG_RAND */ 151 152# ifndef OPENSSL_SMALL_FOOTPRINT 153# define BN_MUL_COMBA 154# define BN_SQR_COMBA 155# define BN_RECURSION 156# endif 157 158/* 159 * This next option uses the C libraries (2 word)/(1 word) function. If it is 160 * not defined, I use my C version (which is slower). The reason for this 161 * flag is that when the particular C compiler library routine is used, and 162 * the library is linked with a different compiler, the library is missing. 163 * This mostly happens when the library is built with gcc and then linked 164 * using normal cc. This would be a common occurrence because gcc normally 165 * produces code that is 2 times faster than system compilers for the big 166 * number stuff. For machines with only one compiler (or shared libraries), 167 * this should be on. Again this in only really a problem on machines using 168 * "long long's", are 32bit, and are not using my assembler code. 169 */ 170# if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \ 171 defined(OPENSSL_SYS_WIN32) || defined(linux) 172# ifndef BN_DIV2W 173# define BN_DIV2W 174# endif 175# endif 176 177/* 178 * assuming long is 64bit - this is the DEC Alpha unsigned long long is only 179 * 64 bits :-(, don't define BN_LLONG for the DEC Alpha 180 */ 181# ifdef SIXTY_FOUR_BIT_LONG 182# define BN_ULLONG unsigned long long 183# define BN_ULONG unsigned long 184# define BN_LONG long 185# define BN_BITS 128 186# define BN_BYTES 8 187# define BN_BITS2 64 188# define BN_BITS4 32 189# define BN_MASK (0xffffffffffffffffffffffffffffffffLL) 190# define BN_MASK2 (0xffffffffffffffffL) 191# define BN_MASK2l (0xffffffffL) 192# define BN_MASK2h (0xffffffff00000000L) 193# define BN_MASK2h1 (0xffffffff80000000L) 194# define BN_TBIT (0x8000000000000000L) 195# define BN_DEC_CONV (10000000000000000000UL) 196# define BN_DEC_FMT1 "%lu" 197# define BN_DEC_FMT2 "%019lu" 198# define BN_DEC_NUM 19 199# define BN_HEX_FMT1 "%lX" 200# define BN_HEX_FMT2 "%016lX" 201# endif 202 203/* 204 * This is where the long long data type is 64 bits, but long is 32. For 205 * machines where there are 64bit registers, this is the mode to use. IRIX, 206 * on R4000 and above should use this mode, along with the relevant assembler 207 * code :-). Do NOT define BN_LLONG. 208 */ 209# ifdef SIXTY_FOUR_BIT 210# undef BN_LLONG 211# undef BN_ULLONG 212# define BN_ULONG unsigned long long 213# define BN_LONG long long 214# define BN_BITS 128 215# define BN_BYTES 8 216# define BN_BITS2 64 217# define BN_BITS4 32 218# define BN_MASK2 (0xffffffffffffffffLL) 219# define BN_MASK2l (0xffffffffL) 220# define BN_MASK2h (0xffffffff00000000LL) 221# define BN_MASK2h1 (0xffffffff80000000LL) 222# define BN_TBIT (0x8000000000000000LL) 223# define BN_DEC_CONV (10000000000000000000ULL) 224# define BN_DEC_FMT1 "%llu" 225# define BN_DEC_FMT2 "%019llu" 226# define BN_DEC_NUM 19 227# define BN_HEX_FMT1 "%llX" 228# define BN_HEX_FMT2 "%016llX" 229# endif 230 231# ifdef THIRTY_TWO_BIT 232# ifdef BN_LLONG 233# if defined(_WIN32) && !defined(__GNUC__) 234# define BN_ULLONG unsigned __int64 235# define BN_MASK (0xffffffffffffffffI64) 236# else 237# define BN_ULLONG unsigned long long 238# define BN_MASK (0xffffffffffffffffLL) 239# endif 240# endif 241# define BN_ULONG unsigned int 242# define BN_LONG int 243# define BN_BITS 64 244# define BN_BYTES 4 245# define BN_BITS2 32 246# define BN_BITS4 16 247# define BN_MASK2 (0xffffffffL) 248# define BN_MASK2l (0xffff) 249# define BN_MASK2h1 (0xffff8000L) 250# define BN_MASK2h (0xffff0000L) 251# define BN_TBIT (0x80000000L) 252# define BN_DEC_CONV (1000000000L) 253# define BN_DEC_FMT1 "%u" 254# define BN_DEC_FMT2 "%09u" 255# define BN_DEC_NUM 9 256# define BN_HEX_FMT1 "%X" 257# define BN_HEX_FMT2 "%08X" 258# endif 259 260# define BN_DEFAULT_BITS 1280 261 262# define BN_FLG_MALLOCED 0x01 263# define BN_FLG_STATIC_DATA 0x02 264 265/* 266 * avoid leaking exponent information through timing, 267 * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime, 268 * BN_div() will call BN_div_no_branch, 269 * BN_mod_inverse() will call BN_mod_inverse_no_branch. 270 */ 271# define BN_FLG_CONSTTIME 0x04 272 273# ifdef OPENSSL_NO_DEPRECATED 274/* deprecated name for the flag */ 275# define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME 276/* 277 * avoid leaking exponent information through timings 278 * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) 279 */ 280# endif 281 282# ifndef OPENSSL_NO_DEPRECATED 283# define BN_FLG_FREE 0x8000 284 /* used for debuging */ 285# endif 286# define BN_set_flags(b,n) ((b)->flags|=(n)) 287# define BN_get_flags(b,n) ((b)->flags&(n)) 288 289/* 290 * get a clone of a BIGNUM with changed flags, for *temporary* use only (the 291 * two BIGNUMs cannot not be used in parallel!) 292 */ 293# define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \ 294 (dest)->top=(b)->top, \ 295 (dest)->dmax=(b)->dmax, \ 296 (dest)->neg=(b)->neg, \ 297 (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \ 298 | ((b)->flags & ~BN_FLG_MALLOCED) \ 299 | BN_FLG_STATIC_DATA \ 300 | (n))) 301 302/* Already declared in ossl_typ.h */ 303# if 0 304typedef struct bignum_st BIGNUM; 305/* Used for temp variables (declaration hidden in bn_lcl.h) */ 306typedef struct bignum_ctx BN_CTX; 307typedef struct bn_blinding_st BN_BLINDING; 308typedef struct bn_mont_ctx_st BN_MONT_CTX; 309typedef struct bn_recp_ctx_st BN_RECP_CTX; 310typedef struct bn_gencb_st BN_GENCB; 311# endif 312 313struct bignum_st { 314 BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit 315 * chunks. */ 316 int top; /* Index of last used d +1. */ 317 /* The next are internal book keeping for bn_expand. */ 318 int dmax; /* Size of the d array. */ 319 int neg; /* one if the number is negative */ 320 int flags; 321}; 322 323/* Used for montgomery multiplication */ 324struct bn_mont_ctx_st { 325 int ri; /* number of bits in R */ 326 BIGNUM RR; /* used to convert to montgomery form */ 327 BIGNUM N; /* The modulus */ 328 BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 (Ni is only 329 * stored for bignum algorithm) */ 330 BN_ULONG n0[2]; /* least significant word(s) of Ni; (type 331 * changed with 0.9.9, was "BN_ULONG n0;" 332 * before) */ 333 int flags; 334}; 335 336/* 337 * Used for reciprocal division/mod functions It cannot be shared between 338 * threads 339 */ 340struct bn_recp_ctx_st { 341 BIGNUM N; /* the divisor */ 342 BIGNUM Nr; /* the reciprocal */ 343 int num_bits; 344 int shift; 345 int flags; 346}; 347 348/* Used for slow "generation" functions. */ 349struct bn_gencb_st { 350 unsigned int ver; /* To handle binary (in)compatibility */ 351 void *arg; /* callback-specific data */ 352 union { 353 /* if(ver==1) - handles old style callbacks */ 354 void (*cb_1) (int, int, void *); 355 /* if(ver==2) - new callback style */ 356 int (*cb_2) (int, int, BN_GENCB *); 357 } cb; 358}; 359/* Wrapper function to make using BN_GENCB easier, */ 360int BN_GENCB_call(BN_GENCB *cb, int a, int b); 361/* Macro to populate a BN_GENCB structure with an "old"-style callback */ 362# define BN_GENCB_set_old(gencb, callback, cb_arg) { \ 363 BN_GENCB *tmp_gencb = (gencb); \ 364 tmp_gencb->ver = 1; \ 365 tmp_gencb->arg = (cb_arg); \ 366 tmp_gencb->cb.cb_1 = (callback); } 367/* Macro to populate a BN_GENCB structure with a "new"-style callback */ 368# define BN_GENCB_set(gencb, callback, cb_arg) { \ 369 BN_GENCB *tmp_gencb = (gencb); \ 370 tmp_gencb->ver = 2; \ 371 tmp_gencb->arg = (cb_arg); \ 372 tmp_gencb->cb.cb_2 = (callback); } 373 374# define BN_prime_checks 0 /* default: select number of iterations based 375 * on the size of the number */ 376 377/* 378 * number of Miller-Rabin iterations for an error rate of less than 2^-80 for 379 * random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook of 380 * Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996]; 381 * original paper: Damgaard, Landrock, Pomerance: Average case error 382 * estimates for the strong probable prime test. -- Math. Comp. 61 (1993) 383 * 177-194) 384 */ 385# define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \ 386 (b) >= 850 ? 3 : \ 387 (b) >= 650 ? 4 : \ 388 (b) >= 550 ? 5 : \ 389 (b) >= 450 ? 6 : \ 390 (b) >= 400 ? 7 : \ 391 (b) >= 350 ? 8 : \ 392 (b) >= 300 ? 9 : \ 393 (b) >= 250 ? 12 : \ 394 (b) >= 200 ? 15 : \ 395 (b) >= 150 ? 18 : \ 396 /* b >= 100 */ 27) 397 398# define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) 399 400/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */ 401# define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \ 402 (((w) == 0) && ((a)->top == 0))) 403# define BN_is_zero(a) ((a)->top == 0) 404# define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg) 405# define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg)) 406# define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1)) 407 408# define BN_one(a) (BN_set_word((a),1)) 409# define BN_zero_ex(a) \ 410 do { \ 411 BIGNUM *_tmp_bn = (a); \ 412 _tmp_bn->top = 0; \ 413 _tmp_bn->neg = 0; \ 414 } while(0) 415# ifdef OPENSSL_NO_DEPRECATED 416# define BN_zero(a) BN_zero_ex(a) 417# else 418# define BN_zero(a) (BN_set_word((a),0)) 419# endif 420 421const BIGNUM *BN_value_one(void); 422char *BN_options(void); 423BN_CTX *BN_CTX_new(void); 424# ifndef OPENSSL_NO_DEPRECATED 425void BN_CTX_init(BN_CTX *c); 426# endif 427void BN_CTX_free(BN_CTX *c); 428void BN_CTX_start(BN_CTX *ctx); 429BIGNUM *BN_CTX_get(BN_CTX *ctx); 430void BN_CTX_end(BN_CTX *ctx); 431int BN_rand(BIGNUM *rnd, int bits, int top, int bottom); 432int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom); 433int BN_rand_range(BIGNUM *rnd, const BIGNUM *range); 434int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range); 435int BN_num_bits(const BIGNUM *a); 436int BN_num_bits_word(BN_ULONG); 437BIGNUM *BN_new(void); 438void BN_init(BIGNUM *); 439void BN_clear_free(BIGNUM *a); 440BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); 441void BN_swap(BIGNUM *a, BIGNUM *b); 442BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret); 443int BN_bn2bin(const BIGNUM *a, unsigned char *to); 444BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret); 445int BN_bn2mpi(const BIGNUM *a, unsigned char *to); 446int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 447int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 448int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 449int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 450int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 451int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx); 452/** BN_set_negative sets sign of a BIGNUM 453 * \param b pointer to the BIGNUM object 454 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise 455 */ 456void BN_set_negative(BIGNUM *b, int n); 457/** BN_is_negative returns 1 if the BIGNUM is negative 458 * \param a pointer to the BIGNUM object 459 * \return 1 if a < 0 and 0 otherwise 460 */ 461# define BN_is_negative(a) ((a)->neg != 0) 462 463int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, 464 BN_CTX *ctx); 465# define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx)) 466int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); 467int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, 468 BN_CTX *ctx); 469int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 470 const BIGNUM *m); 471int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, 472 BN_CTX *ctx); 473int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 474 const BIGNUM *m); 475int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, 476 BN_CTX *ctx); 477int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); 478int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); 479int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m); 480int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, 481 BN_CTX *ctx); 482int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m); 483 484BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); 485BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); 486int BN_mul_word(BIGNUM *a, BN_ULONG w); 487int BN_add_word(BIGNUM *a, BN_ULONG w); 488int BN_sub_word(BIGNUM *a, BN_ULONG w); 489int BN_set_word(BIGNUM *a, BN_ULONG w); 490BN_ULONG BN_get_word(const BIGNUM *a); 491 492int BN_cmp(const BIGNUM *a, const BIGNUM *b); 493void BN_free(BIGNUM *a); 494int BN_is_bit_set(const BIGNUM *a, int n); 495int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); 496int BN_lshift1(BIGNUM *r, const BIGNUM *a); 497int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 498 499int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 500 const BIGNUM *m, BN_CTX *ctx); 501int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 502 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); 503int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, 504 const BIGNUM *m, BN_CTX *ctx, 505 BN_MONT_CTX *in_mont); 506int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, 507 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); 508int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1, 509 const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, 510 BN_CTX *ctx, BN_MONT_CTX *m_ctx); 511int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 512 const BIGNUM *m, BN_CTX *ctx); 513 514int BN_mask_bits(BIGNUM *a, int n); 515# ifndef OPENSSL_NO_FP_API 516int BN_print_fp(FILE *fp, const BIGNUM *a); 517# endif 518# ifdef HEADER_BIO_H 519int BN_print(BIO *fp, const BIGNUM *a); 520# else 521int BN_print(void *fp, const BIGNUM *a); 522# endif 523int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx); 524int BN_rshift(BIGNUM *r, const BIGNUM *a, int n); 525int BN_rshift1(BIGNUM *r, const BIGNUM *a); 526void BN_clear(BIGNUM *a); 527BIGNUM *BN_dup(const BIGNUM *a); 528int BN_ucmp(const BIGNUM *a, const BIGNUM *b); 529int BN_set_bit(BIGNUM *a, int n); 530int BN_clear_bit(BIGNUM *a, int n); 531char *BN_bn2hex(const BIGNUM *a); 532char *BN_bn2dec(const BIGNUM *a); 533int BN_hex2bn(BIGNUM **a, const char *str); 534int BN_dec2bn(BIGNUM **a, const char *str); 535int BN_asc2bn(BIGNUM **a, const char *str); 536int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 537int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns 538 * -2 for 539 * error */ 540BIGNUM *BN_mod_inverse(BIGNUM *ret, 541 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); 542BIGNUM *BN_mod_sqrt(BIGNUM *ret, 543 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); 544 545void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords); 546 547/* Deprecated versions */ 548# ifndef OPENSSL_NO_DEPRECATED 549BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe, 550 const BIGNUM *add, const BIGNUM *rem, 551 void (*callback) (int, int, void *), void *cb_arg); 552int BN_is_prime(const BIGNUM *p, int nchecks, 553 void (*callback) (int, int, void *), 554 BN_CTX *ctx, void *cb_arg); 555int BN_is_prime_fasttest(const BIGNUM *p, int nchecks, 556 void (*callback) (int, int, void *), BN_CTX *ctx, 557 void *cb_arg, int do_trial_division); 558# endif /* !defined(OPENSSL_NO_DEPRECATED) */ 559 560/* Newer versions */ 561int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add, 562 const BIGNUM *rem, BN_GENCB *cb); 563int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb); 564int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, 565 int do_trial_division, BN_GENCB *cb); 566 567int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx); 568 569int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, 570 const BIGNUM *Xp, const BIGNUM *Xp1, 571 const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx, 572 BN_GENCB *cb); 573int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1, 574 BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e, 575 BN_CTX *ctx, BN_GENCB *cb); 576 577BN_MONT_CTX *BN_MONT_CTX_new(void); 578void BN_MONT_CTX_init(BN_MONT_CTX *ctx); 579int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 580 BN_MONT_CTX *mont, BN_CTX *ctx); 581# define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ 582 (r),(a),&((mont)->RR),(mont),(ctx)) 583int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, 584 BN_MONT_CTX *mont, BN_CTX *ctx); 585void BN_MONT_CTX_free(BN_MONT_CTX *mont); 586int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx); 587BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from); 588BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock, 589 const BIGNUM *mod, BN_CTX *ctx); 590 591/* BN_BLINDING flags */ 592# define BN_BLINDING_NO_UPDATE 0x00000001 593# define BN_BLINDING_NO_RECREATE 0x00000002 594 595BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod); 596void BN_BLINDING_free(BN_BLINDING *b); 597int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx); 598int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); 599int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); 600int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *); 601int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, 602 BN_CTX *); 603# ifndef OPENSSL_NO_DEPRECATED 604unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *); 605void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long); 606# endif 607CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *); 608unsigned long BN_BLINDING_get_flags(const BN_BLINDING *); 609void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long); 610BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b, 611 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx, 612 int (*bn_mod_exp) (BIGNUM *r, 613 const BIGNUM *a, 614 const BIGNUM *p, 615 const BIGNUM *m, 616 BN_CTX *ctx, 617 BN_MONT_CTX *m_ctx), 618 BN_MONT_CTX *m_ctx); 619 620# ifndef OPENSSL_NO_DEPRECATED 621void BN_set_params(int mul, int high, int low, int mont); 622int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ 623# endif 624 625void BN_RECP_CTX_init(BN_RECP_CTX *recp); 626BN_RECP_CTX *BN_RECP_CTX_new(void); 627void BN_RECP_CTX_free(BN_RECP_CTX *recp); 628int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx); 629int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, 630 BN_RECP_CTX *recp, BN_CTX *ctx); 631int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 632 const BIGNUM *m, BN_CTX *ctx); 633int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, 634 BN_RECP_CTX *recp, BN_CTX *ctx); 635 636# ifndef OPENSSL_NO_EC2M 637 638/* 639 * Functions for arithmetic over binary polynomials represented by BIGNUMs. 640 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is 641 * ignored. Note that input arguments are not const so that their bit arrays 642 * can be expanded to the appropriate size if needed. 643 */ 644 645/* 646 * r = a + b 647 */ 648int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 649# define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) 650/* 651 * r=a mod p 652 */ 653int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); 654/* r = (a * b) mod p */ 655int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 656 const BIGNUM *p, BN_CTX *ctx); 657/* r = (a * a) mod p */ 658int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 659/* r = (1 / b) mod p */ 660int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx); 661/* r = (a / b) mod p */ 662int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 663 const BIGNUM *p, BN_CTX *ctx); 664/* r = (a ^ b) mod p */ 665int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 666 const BIGNUM *p, BN_CTX *ctx); 667/* r = sqrt(a) mod p */ 668int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 669 BN_CTX *ctx); 670/* r^2 + r = a mod p */ 671int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 672 BN_CTX *ctx); 673# define BN_GF2m_cmp(a, b) BN_ucmp((a), (b)) 674/*- 675 * Some functions allow for representation of the irreducible polynomials 676 * as an unsigned int[], say p. The irreducible f(t) is then of the form: 677 * t^p[0] + t^p[1] + ... + t^p[k] 678 * where m = p[0] > p[1] > ... > p[k] = 0. 679 */ 680/* r = a mod p */ 681int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]); 682/* r = (a * b) mod p */ 683int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 684 const int p[], BN_CTX *ctx); 685/* r = (a * a) mod p */ 686int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], 687 BN_CTX *ctx); 688/* r = (1 / b) mod p */ 689int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[], 690 BN_CTX *ctx); 691/* r = (a / b) mod p */ 692int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 693 const int p[], BN_CTX *ctx); 694/* r = (a ^ b) mod p */ 695int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 696 const int p[], BN_CTX *ctx); 697/* r = sqrt(a) mod p */ 698int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, 699 const int p[], BN_CTX *ctx); 700/* r^2 + r = a mod p */ 701int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, 702 const int p[], BN_CTX *ctx); 703int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max); 704int BN_GF2m_arr2poly(const int p[], BIGNUM *a); 705 706# endif 707 708/* 709 * faster mod functions for the 'NIST primes' 0 <= a < p^2 710 */ 711int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 712int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 713int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 714int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 715int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 716 717const BIGNUM *BN_get0_nist_prime_192(void); 718const BIGNUM *BN_get0_nist_prime_224(void); 719const BIGNUM *BN_get0_nist_prime_256(void); 720const BIGNUM *BN_get0_nist_prime_384(void); 721const BIGNUM *BN_get0_nist_prime_521(void); 722 723/* library internal functions */ 724 725# define bn_expand(a,bits) \ 726 ( \ 727 bits > (INT_MAX - BN_BITS2 + 1) ? \ 728 NULL \ 729 : \ 730 (((bits+BN_BITS2-1)/BN_BITS2) <= (a)->dmax) ? \ 731 (a) \ 732 : \ 733 bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2) \ 734 ) 735 736# define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) 737BIGNUM *bn_expand2(BIGNUM *a, int words); 738# ifndef OPENSSL_NO_DEPRECATED 739BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */ 740# endif 741 742/*- 743 * Bignum consistency macros 744 * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from 745 * bignum data after direct manipulations on the data. There is also an 746 * "internal" macro, bn_check_top(), for verifying that there are no leading 747 * zeroes. Unfortunately, some auditing is required due to the fact that 748 * bn_fix_top() has become an overabused duct-tape because bignum data is 749 * occasionally passed around in an inconsistent state. So the following 750 * changes have been made to sort this out; 751 * - bn_fix_top()s implementation has been moved to bn_correct_top() 752 * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and 753 * bn_check_top() is as before. 754 * - if BN_DEBUG *is* defined; 755 * - bn_check_top() tries to pollute unused words even if the bignum 'top' is 756 * consistent. (ed: only if BN_DEBUG_RAND is defined) 757 * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything. 758 * The idea is to have debug builds flag up inconsistent bignums when they 759 * occur. If that occurs in a bn_fix_top(), we examine the code in question; if 760 * the use of bn_fix_top() was appropriate (ie. it follows directly after code 761 * that manipulates the bignum) it is converted to bn_correct_top(), and if it 762 * was not appropriate, we convert it permanently to bn_check_top() and track 763 * down the cause of the bug. Eventually, no internal code should be using the 764 * bn_fix_top() macro. External applications and libraries should try this with 765 * their own code too, both in terms of building against the openssl headers 766 * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it 767 * defined. This not only improves external code, it provides more test 768 * coverage for openssl's own code. 769 */ 770 771# ifdef BN_DEBUG 772 773/* We only need assert() when debugging */ 774# include <assert.h> 775 776# ifdef BN_DEBUG_RAND 777/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */ 778# ifndef RAND_pseudo_bytes 779int RAND_pseudo_bytes(unsigned char *buf, int num); 780# define BN_DEBUG_TRIX 781# endif 782# define bn_pollute(a) \ 783 do { \ 784 const BIGNUM *_bnum1 = (a); \ 785 if(_bnum1->top < _bnum1->dmax) { \ 786 unsigned char _tmp_char; \ 787 /* We cast away const without the compiler knowing, any \ 788 * *genuinely* constant variables that aren't mutable \ 789 * wouldn't be constructed with top!=dmax. */ \ 790 BN_ULONG *_not_const; \ 791 memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \ 792 /* Debug only - safe to ignore error return */ \ 793 RAND_pseudo_bytes(&_tmp_char, 1); \ 794 memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \ 795 (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \ 796 } \ 797 } while(0) 798# ifdef BN_DEBUG_TRIX 799# undef RAND_pseudo_bytes 800# endif 801# else 802# define bn_pollute(a) 803# endif 804# define bn_check_top(a) \ 805 do { \ 806 const BIGNUM *_bnum2 = (a); \ 807 if (_bnum2 != NULL) { \ 808 assert((_bnum2->top == 0) || \ 809 (_bnum2->d[_bnum2->top - 1] != 0)); \ 810 bn_pollute(_bnum2); \ 811 } \ 812 } while(0) 813 814# define bn_fix_top(a) bn_check_top(a) 815 816# define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2) 817# define bn_wcheck_size(bn, words) \ 818 do { \ 819 const BIGNUM *_bnum2 = (bn); \ 820 assert((words) <= (_bnum2)->dmax && (words) >= (_bnum2)->top); \ 821 /* avoid unused variable warning with NDEBUG */ \ 822 (void)(_bnum2); \ 823 } while(0) 824 825# else /* !BN_DEBUG */ 826 827# define bn_pollute(a) 828# define bn_check_top(a) 829# define bn_fix_top(a) bn_correct_top(a) 830# define bn_check_size(bn, bits) 831# define bn_wcheck_size(bn, words) 832 833# endif 834 835# define bn_correct_top(a) \ 836 { \ 837 BN_ULONG *ftl; \ 838 int tmp_top = (a)->top; \ 839 if (tmp_top > 0) \ 840 { \ 841 for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \ 842 if (*(ftl--)) break; \ 843 (a)->top = tmp_top; \ 844 } \ 845 if ((a)->top == 0) \ 846 (a)->neg = 0; \ 847 bn_pollute(a); \ 848 } 849 850BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, 851 BN_ULONG w); 852BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); 853void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); 854BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); 855BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, 856 int num); 857BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, 858 int num); 859 860/* Primes from RFC 2409 */ 861BIGNUM *get_rfc2409_prime_768(BIGNUM *bn); 862BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn); 863 864/* Primes from RFC 3526 */ 865BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn); 866BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn); 867BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn); 868BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn); 869BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn); 870BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn); 871 872int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom); 873 874/* BEGIN ERROR CODES */ 875/* 876 * The following lines are auto generated by the script mkerr.pl. Any changes 877 * made after this point may be overwritten when the script is next run. 878 */ 879void ERR_load_BN_strings(void); 880 881/* Error codes for the BN functions. */ 882 883/* Function codes. */ 884# define BN_F_BNRAND 127 885# define BN_F_BN_BLINDING_CONVERT_EX 100 886# define BN_F_BN_BLINDING_CREATE_PARAM 128 887# define BN_F_BN_BLINDING_INVERT_EX 101 888# define BN_F_BN_BLINDING_NEW 102 889# define BN_F_BN_BLINDING_UPDATE 103 890# define BN_F_BN_BN2DEC 104 891# define BN_F_BN_BN2HEX 105 892# define BN_F_BN_CTX_GET 116 893# define BN_F_BN_CTX_NEW 106 894# define BN_F_BN_CTX_START 129 895# define BN_F_BN_DIV 107 896# define BN_F_BN_DIV_NO_BRANCH 138 897# define BN_F_BN_DIV_RECP 130 898# define BN_F_BN_EXP 123 899# define BN_F_BN_EXPAND2 108 900# define BN_F_BN_EXPAND_INTERNAL 120 901# define BN_F_BN_GF2M_MOD 131 902# define BN_F_BN_GF2M_MOD_EXP 132 903# define BN_F_BN_GF2M_MOD_MUL 133 904# define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134 905# define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135 906# define BN_F_BN_GF2M_MOD_SQR 136 907# define BN_F_BN_GF2M_MOD_SQRT 137 908# define BN_F_BN_LSHIFT 145 909# define BN_F_BN_MOD_EXP2_MONT 118 910# define BN_F_BN_MOD_EXP_MONT 109 911# define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124 912# define BN_F_BN_MOD_EXP_MONT_WORD 117 913# define BN_F_BN_MOD_EXP_RECP 125 914# define BN_F_BN_MOD_EXP_SIMPLE 126 915# define BN_F_BN_MOD_INVERSE 110 916# define BN_F_BN_MOD_INVERSE_NO_BRANCH 139 917# define BN_F_BN_MOD_LSHIFT_QUICK 119 918# define BN_F_BN_MOD_MUL_RECIPROCAL 111 919# define BN_F_BN_MOD_SQRT 121 920# define BN_F_BN_MPI2BN 112 921# define BN_F_BN_NEW 113 922# define BN_F_BN_RAND 114 923# define BN_F_BN_RAND_RANGE 122 924# define BN_F_BN_RSHIFT 146 925# define BN_F_BN_USUB 115 926 927/* Reason codes. */ 928# define BN_R_ARG2_LT_ARG3 100 929# define BN_R_BAD_RECIPROCAL 101 930# define BN_R_BIGNUM_TOO_LONG 114 931# define BN_R_BITS_TOO_SMALL 118 932# define BN_R_CALLED_WITH_EVEN_MODULUS 102 933# define BN_R_DIV_BY_ZERO 103 934# define BN_R_ENCODING_ERROR 104 935# define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105 936# define BN_R_INPUT_NOT_REDUCED 110 937# define BN_R_INVALID_LENGTH 106 938# define BN_R_INVALID_RANGE 115 939# define BN_R_INVALID_SHIFT 119 940# define BN_R_NOT_A_SQUARE 111 941# define BN_R_NOT_INITIALIZED 107 942# define BN_R_NO_INVERSE 108 943# define BN_R_NO_SOLUTION 116 944# define BN_R_P_IS_NOT_PRIME 112 945# define BN_R_TOO_MANY_ITERATIONS 113 946# define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 947 948#ifdef __cplusplus 949} 950#endif 951#endif 952