1 /* $OpenBSD: bn.h,v 1.26 2015/02/07 13:19:15 doug Exp $ */ 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 <stdio.h> 129 #include <stdlib.h> 130 131 #include <openssl/opensslconf.h> 132 133 #include <openssl/ossl_typ.h> 134 #include <openssl/crypto.h> 135 136 #ifdef __cplusplus 137 extern "C" { 138 #endif 139 140 /* These preprocessor symbols control various aspects of the bignum headers and 141 * library code. They're not defined by any "normal" configuration, as they are 142 * intended for development and testing purposes. NB: defining all three can be 143 * useful for debugging application code as well as openssl itself. 144 * 145 * BN_DEBUG - turn on various debugging alterations to the bignum code 146 * 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 /* This next option uses the C libraries (2 word)/(1 word) function. 159 * If it is not defined, I use my C version (which is slower). 160 * The reason for this flag is that when the particular C compiler 161 * library routine is used, and the library is linked with a different 162 * compiler, the library is missing. This mostly happens when the 163 * library is built with gcc and then linked using normal cc. This would 164 * be a common occurrence because gcc normally produces code that is 165 * 2 times faster than system compilers for the big number stuff. 166 * For machines with only one compiler (or shared libraries), this should 167 * be on. Again this in only really a problem on machines 168 * using "long long's", are 32bit, and are not using my assembler code. */ 169 /* #define BN_DIV2W */ 170 171 #ifdef _LP64 172 #undef BN_LLONG 173 #define BN_ULONG unsigned long 174 #define BN_LONG long 175 #define BN_BITS 128 176 #define BN_BYTES 8 177 #define BN_BITS2 64 178 #define BN_BITS4 32 179 #define BN_MASK2 (0xffffffffffffffffL) 180 #define BN_MASK2l (0xffffffffL) 181 #define BN_MASK2h (0xffffffff00000000L) 182 #define BN_MASK2h1 (0xffffffff80000000L) 183 #define BN_TBIT (0x8000000000000000L) 184 #define BN_DEC_CONV (10000000000000000000UL) 185 #define BN_DEC_FMT1 "%lu" 186 #define BN_DEC_FMT2 "%019lu" 187 #define BN_DEC_NUM 19 188 #define BN_HEX_FMT1 "%lX" 189 #define BN_HEX_FMT2 "%016lX" 190 #else 191 #define BN_ULLONG unsigned long long 192 #define BN_LLONG 193 #define BN_ULONG unsigned int 194 #define BN_LONG int 195 #define BN_BITS 64 196 #define BN_BYTES 4 197 #define BN_BITS2 32 198 #define BN_BITS4 16 199 #define BN_MASK (0xffffffffffffffffLL) 200 #define BN_MASK2 (0xffffffffL) 201 #define BN_MASK2l (0xffff) 202 #define BN_MASK2h1 (0xffff8000L) 203 #define BN_MASK2h (0xffff0000L) 204 #define BN_TBIT (0x80000000L) 205 #define BN_DEC_CONV (1000000000L) 206 #define BN_DEC_FMT1 "%u" 207 #define BN_DEC_FMT2 "%09u" 208 #define BN_DEC_NUM 9 209 #define BN_HEX_FMT1 "%X" 210 #define BN_HEX_FMT2 "%08X" 211 #endif 212 213 #define BN_FLG_MALLOCED 0x01 214 #define BN_FLG_STATIC_DATA 0x02 215 #define BN_FLG_CONSTTIME 0x04 /* avoid leaking exponent information through timing, 216 * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime, 217 * BN_div() will call BN_div_no_branch, 218 * BN_mod_inverse() will call BN_mod_inverse_no_branch. 219 */ 220 221 #ifndef OPENSSL_NO_DEPRECATED 222 #define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */ 223 /* avoid leaking exponent information through timings 224 * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */ 225 #endif 226 227 #ifndef OPENSSL_NO_DEPRECATED 228 #define BN_FLG_FREE 0x8000 /* used for debuging */ 229 #endif 230 #define BN_set_flags(b,n) ((b)->flags|=(n)) 231 #define BN_get_flags(b,n) ((b)->flags&(n)) 232 233 /* get a clone of a BIGNUM with changed flags, for *temporary* use only 234 * (the two BIGNUMs cannot not be used in parallel!) */ 235 #define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \ 236 (dest)->top=(b)->top, \ 237 (dest)->dmax=(b)->dmax, \ 238 (dest)->neg=(b)->neg, \ 239 (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \ 240 | ((b)->flags & ~BN_FLG_MALLOCED) \ 241 | BN_FLG_STATIC_DATA \ 242 | (n))) 243 244 struct bignum_st { 245 BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */ 246 int top; /* Index of last used d +1. */ 247 /* The next are internal book keeping for bn_expand. */ 248 int dmax; /* Size of the d array. */ 249 int neg; /* one if the number is negative */ 250 int flags; 251 }; 252 253 /* Used for montgomery multiplication */ 254 struct bn_mont_ctx_st { 255 int ri; /* number of bits in R */ 256 BIGNUM RR; /* used to convert to montgomery form */ 257 BIGNUM N; /* The modulus */ 258 BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 259 * (Ni is only stored for bignum algorithm) */ 260 BN_ULONG n0[2];/* least significant word(s) of Ni; 261 (type changed with 0.9.9, was "BN_ULONG n0;" before) */ 262 int flags; 263 }; 264 265 /* Used for reciprocal division/mod functions 266 * It cannot be shared between threads 267 */ 268 struct bn_recp_ctx_st { 269 BIGNUM N; /* the divisor */ 270 BIGNUM Nr; /* the reciprocal */ 271 int num_bits; 272 int shift; 273 int flags; 274 }; 275 276 /* Used for slow "generation" functions. */ 277 struct bn_gencb_st { 278 unsigned int ver; /* To handle binary (in)compatibility */ 279 void *arg; /* callback-specific data */ 280 union { 281 /* if(ver==1) - handles old style callbacks */ 282 void (*cb_1)(int, int, void *); 283 /* if(ver==2) - new callback style */ 284 int (*cb_2)(int, int, BN_GENCB *); 285 } cb; 286 }; 287 /* Wrapper function to make using BN_GENCB easier, */ 288 int BN_GENCB_call(BN_GENCB *cb, int a, int b); 289 /* Macro to populate a BN_GENCB structure with an "old"-style callback */ 290 #define BN_GENCB_set_old(gencb, callback, cb_arg) { \ 291 BN_GENCB *tmp_gencb = (gencb); \ 292 tmp_gencb->ver = 1; \ 293 tmp_gencb->arg = (cb_arg); \ 294 tmp_gencb->cb.cb_1 = (callback); } 295 /* Macro to populate a BN_GENCB structure with a "new"-style callback */ 296 #define BN_GENCB_set(gencb, callback, cb_arg) { \ 297 BN_GENCB *tmp_gencb = (gencb); \ 298 tmp_gencb->ver = 2; \ 299 tmp_gencb->arg = (cb_arg); \ 300 tmp_gencb->cb.cb_2 = (callback); } 301 302 #define BN_prime_checks 0 /* default: select number of iterations 303 based on the size of the number */ 304 305 /* number of Miller-Rabin iterations for an error rate of less than 2^-80 306 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook 307 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996]; 308 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates 309 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */ 310 #define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \ 311 (b) >= 850 ? 3 : \ 312 (b) >= 650 ? 4 : \ 313 (b) >= 550 ? 5 : \ 314 (b) >= 450 ? 6 : \ 315 (b) >= 400 ? 7 : \ 316 (b) >= 350 ? 8 : \ 317 (b) >= 300 ? 9 : \ 318 (b) >= 250 ? 12 : \ 319 (b) >= 200 ? 15 : \ 320 (b) >= 150 ? 18 : \ 321 /* b >= 100 */ 27) 322 323 #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) 324 325 /* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */ 326 #define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \ 327 (((w) == 0) && ((a)->top == 0))) 328 #define BN_is_zero(a) ((a)->top == 0) 329 #define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg) 330 #define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg)) 331 #define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1)) 332 333 #define BN_one(a) (BN_set_word((a),1)) 334 #define BN_zero_ex(a) \ 335 do { \ 336 BIGNUM *_tmp_bn = (a); \ 337 _tmp_bn->top = 0; \ 338 _tmp_bn->neg = 0; \ 339 } while(0) 340 341 #ifdef OPENSSL_NO_DEPRECATED 342 #define BN_zero(a) BN_zero_ex(a) 343 #else 344 #define BN_zero(a) (BN_set_word((a),0)) 345 #endif 346 347 const BIGNUM *BN_value_one(void); 348 char * BN_options(void); 349 BN_CTX *BN_CTX_new(void); 350 #ifndef OPENSSL_NO_DEPRECATED 351 void BN_CTX_init(BN_CTX *c); 352 #endif 353 void BN_CTX_free(BN_CTX *c); 354 void BN_CTX_start(BN_CTX *ctx); 355 BIGNUM *BN_CTX_get(BN_CTX *ctx); 356 void BN_CTX_end(BN_CTX *ctx); 357 int BN_rand(BIGNUM *rnd, int bits, int top, int bottom); 358 int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom); 359 int BN_rand_range(BIGNUM *rnd, const BIGNUM *range); 360 int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range); 361 int BN_num_bits(const BIGNUM *a); 362 int BN_num_bits_word(BN_ULONG); 363 BIGNUM *BN_new(void); 364 void BN_init(BIGNUM *); 365 void BN_clear_free(BIGNUM *a); 366 BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); 367 void BN_swap(BIGNUM *a, BIGNUM *b); 368 BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret); 369 int BN_bn2bin(const BIGNUM *a, unsigned char *to); 370 BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret); 371 int BN_bn2mpi(const BIGNUM *a, unsigned char *to); 372 int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 373 int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 374 int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 375 int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); 376 int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 377 int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx); 378 /** BN_set_negative sets sign of a BIGNUM 379 * \param b pointer to the BIGNUM object 380 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise 381 */ 382 void BN_set_negative(BIGNUM *b, int n); 383 /** BN_is_negative returns 1 if the BIGNUM is negative 384 * \param a pointer to the BIGNUM object 385 * \return 1 if a < 0 and 0 otherwise 386 */ 387 #define BN_is_negative(a) ((a)->neg != 0) 388 389 int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, 390 BN_CTX *ctx); 391 #define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx)) 392 int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); 393 int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); 394 int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m); 395 int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); 396 int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m); 397 int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 398 const BIGNUM *m, BN_CTX *ctx); 399 int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); 400 int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); 401 int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m); 402 int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx); 403 int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m); 404 405 BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); 406 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); 407 int BN_mul_word(BIGNUM *a, BN_ULONG w); 408 int BN_add_word(BIGNUM *a, BN_ULONG w); 409 int BN_sub_word(BIGNUM *a, BN_ULONG w); 410 int BN_set_word(BIGNUM *a, BN_ULONG w); 411 BN_ULONG BN_get_word(const BIGNUM *a); 412 413 int BN_cmp(const BIGNUM *a, const BIGNUM *b); 414 void BN_free(BIGNUM *a); 415 int BN_is_bit_set(const BIGNUM *a, int n); 416 int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); 417 int BN_lshift1(BIGNUM *r, const BIGNUM *a); 418 int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 419 420 int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 421 const BIGNUM *m, BN_CTX *ctx); 422 int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 423 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); 424 int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, 425 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont); 426 int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, 427 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); 428 int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1, 429 const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, 430 BN_CTX *ctx, BN_MONT_CTX *m_ctx); 431 int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 432 const BIGNUM *m, BN_CTX *ctx); 433 434 int BN_mask_bits(BIGNUM *a, int n); 435 int BN_print_fp(FILE *fp, const BIGNUM *a); 436 #ifdef HEADER_BIO_H 437 int BN_print(BIO *fp, const BIGNUM *a); 438 #else 439 int BN_print(void *fp, const BIGNUM *a); 440 #endif 441 int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx); 442 int BN_rshift(BIGNUM *r, const BIGNUM *a, int n); 443 int BN_rshift1(BIGNUM *r, const BIGNUM *a); 444 void BN_clear(BIGNUM *a); 445 BIGNUM *BN_dup(const BIGNUM *a); 446 int BN_ucmp(const BIGNUM *a, const BIGNUM *b); 447 int BN_set_bit(BIGNUM *a, int n); 448 int BN_clear_bit(BIGNUM *a, int n); 449 char * BN_bn2hex(const BIGNUM *a); 450 char * BN_bn2dec(const BIGNUM *a); 451 int BN_hex2bn(BIGNUM **a, const char *str); 452 int BN_dec2bn(BIGNUM **a, const char *str); 453 int BN_asc2bn(BIGNUM **a, const char *str); 454 int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 455 int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */ 456 BIGNUM *BN_mod_inverse(BIGNUM *ret, 457 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); 458 BIGNUM *BN_mod_sqrt(BIGNUM *ret, 459 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); 460 461 void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords); 462 463 /* Deprecated versions */ 464 #ifndef OPENSSL_NO_DEPRECATED 465 BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe, 466 const BIGNUM *add, const BIGNUM *rem, 467 void (*callback)(int, int, void *), void *cb_arg); 468 int BN_is_prime(const BIGNUM *p, int nchecks, 469 void (*callback)(int, int, void *), 470 BN_CTX *ctx, void *cb_arg); 471 int BN_is_prime_fasttest(const BIGNUM *p, int nchecks, 472 void (*callback)(int, int, void *), BN_CTX *ctx, void *cb_arg, 473 int do_trial_division); 474 #endif /* !defined(OPENSSL_NO_DEPRECATED) */ 475 476 /* Newer versions */ 477 int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add, 478 const BIGNUM *rem, BN_GENCB *cb); 479 int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb); 480 int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, 481 int do_trial_division, BN_GENCB *cb); 482 483 int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx); 484 485 int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, 486 const BIGNUM *Xp, const BIGNUM *Xp1, const BIGNUM *Xp2, 487 const BIGNUM *e, BN_CTX *ctx, BN_GENCB *cb); 488 int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, 489 BIGNUM *Xp1, BIGNUM *Xp2, 490 const BIGNUM *Xp, 491 const BIGNUM *e, BN_CTX *ctx, 492 BN_GENCB *cb); 493 494 BN_MONT_CTX *BN_MONT_CTX_new(void ); 495 void BN_MONT_CTX_init(BN_MONT_CTX *ctx); 496 int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 497 BN_MONT_CTX *mont, BN_CTX *ctx); 498 #define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ 499 (r),(a),&((mont)->RR),(mont),(ctx)) 500 int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, 501 BN_MONT_CTX *mont, BN_CTX *ctx); 502 void BN_MONT_CTX_free(BN_MONT_CTX *mont); 503 int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx); 504 BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from); 505 BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock, 506 const BIGNUM *mod, BN_CTX *ctx); 507 508 /* BN_BLINDING flags */ 509 #define BN_BLINDING_NO_UPDATE 0x00000001 510 #define BN_BLINDING_NO_RECREATE 0x00000002 511 512 BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod); 513 void BN_BLINDING_free(BN_BLINDING *b); 514 int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx); 515 int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); 516 int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); 517 int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *); 518 int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *); 519 #ifndef OPENSSL_NO_DEPRECATED 520 unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *); 521 void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long); 522 #endif 523 CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *); 524 unsigned long BN_BLINDING_get_flags(const BN_BLINDING *); 525 void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long); 526 BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b, 527 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx, 528 int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 529 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx), 530 BN_MONT_CTX *m_ctx); 531 532 #ifndef OPENSSL_NO_DEPRECATED 533 void BN_set_params(int mul, int high, int low, int mont); 534 int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ 535 #endif 536 537 void BN_RECP_CTX_init(BN_RECP_CTX *recp); 538 BN_RECP_CTX *BN_RECP_CTX_new(void); 539 void BN_RECP_CTX_free(BN_RECP_CTX *recp); 540 int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx); 541 int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, 542 BN_RECP_CTX *recp, BN_CTX *ctx); 543 int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 544 const BIGNUM *m, BN_CTX *ctx); 545 int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, 546 BN_RECP_CTX *recp, BN_CTX *ctx); 547 548 #ifndef OPENSSL_NO_EC2M 549 550 /* Functions for arithmetic over binary polynomials represented by BIGNUMs. 551 * 552 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is 553 * ignored. 554 * 555 * Note that input arguments are not const so that their bit arrays can 556 * be expanded to the appropriate size if needed. 557 */ 558 559 int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/ 560 #define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) 561 int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/ 562 int 563 BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 564 const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */ 565 int 566 BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 567 BN_CTX *ctx); /* r = (a * a) mod p */ 568 int 569 BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, 570 BN_CTX *ctx); /* r = (1 / b) mod p */ 571 int 572 BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 573 const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */ 574 int 575 BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 576 const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */ 577 int 578 BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 579 BN_CTX *ctx); /* r = sqrt(a) mod p */ 580 int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, 581 BN_CTX *ctx); /* r^2 + r = a mod p */ 582 #define BN_GF2m_cmp(a, b) BN_ucmp((a), (b)) 583 /* Some functions allow for representation of the irreducible polynomials 584 * as an unsigned int[], say p. The irreducible f(t) is then of the form: 585 * t^p[0] + t^p[1] + ... + t^p[k] 586 * where m = p[0] > p[1] > ... > p[k] = 0. 587 */ 588 int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]); 589 /* r = a mod p */ 590 int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 591 const int p[], BN_CTX *ctx); /* r = (a * b) mod p */ 592 int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], 593 BN_CTX *ctx); /* r = (a * a) mod p */ 594 int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[], 595 BN_CTX *ctx); /* r = (1 / b) mod p */ 596 int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 597 const int p[], BN_CTX *ctx); /* r = (a / b) mod p */ 598 int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, 599 const int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */ 600 int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, 601 const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */ 602 int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, 603 const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */ 604 int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max); 605 int BN_GF2m_arr2poly(const int p[], BIGNUM *a); 606 607 #endif 608 609 /* faster mod functions for the 'NIST primes' 610 * 0 <= a < p^2 */ 611 int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 612 int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 613 int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 614 int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 615 int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); 616 617 const BIGNUM *BN_get0_nist_prime_192(void); 618 const BIGNUM *BN_get0_nist_prime_224(void); 619 const BIGNUM *BN_get0_nist_prime_256(void); 620 const BIGNUM *BN_get0_nist_prime_384(void); 621 const BIGNUM *BN_get0_nist_prime_521(void); 622 623 /* library internal functions */ 624 625 #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\ 626 (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2)) 627 #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) 628 BIGNUM *bn_expand2(BIGNUM *a, int words); 629 #ifndef OPENSSL_NO_DEPRECATED 630 BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */ 631 #endif 632 633 /* Bignum consistency macros 634 * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from 635 * bignum data after direct manipulations on the data. There is also an 636 * "internal" macro, bn_check_top(), for verifying that there are no leading 637 * zeroes. Unfortunately, some auditing is required due to the fact that 638 * bn_fix_top() has become an overabused duct-tape because bignum data is 639 * occasionally passed around in an inconsistent state. So the following 640 * changes have been made to sort this out; 641 * - bn_fix_top()s implementation has been moved to bn_correct_top() 642 * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and 643 * bn_check_top() is as before. 644 * - if BN_DEBUG *is* defined; 645 * - bn_check_top() tries to pollute unused words even if the bignum 'top' is 646 * consistent. (ed: only if BN_DEBUG_RAND is defined) 647 * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything. 648 * The idea is to have debug builds flag up inconsistent bignums when they 649 * occur. If that occurs in a bn_fix_top(), we examine the code in question; if 650 * the use of bn_fix_top() was appropriate (ie. it follows directly after code 651 * that manipulates the bignum) it is converted to bn_correct_top(), and if it 652 * was not appropriate, we convert it permanently to bn_check_top() and track 653 * down the cause of the bug. Eventually, no internal code should be using the 654 * bn_fix_top() macro. External applications and libraries should try this with 655 * their own code too, both in terms of building against the openssl headers 656 * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it 657 * defined. This not only improves external code, it provides more test 658 * coverage for openssl's own code. 659 */ 660 661 #ifdef BN_DEBUG 662 663 /* We only need assert() when debugging */ 664 #include <assert.h> 665 666 #ifdef BN_DEBUG_RAND 667 #define bn_pollute(a) \ 668 do { \ 669 const BIGNUM *_bnum1 = (a); \ 670 if(_bnum1->top < _bnum1->dmax) { \ 671 unsigned char _tmp_char; \ 672 /* We cast away const without the compiler knowing, any \ 673 * *genuinely* constant variables that aren't mutable \ 674 * wouldn't be constructed with top!=dmax. */ \ 675 BN_ULONG *_not_const; \ 676 memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \ 677 arc4random_buf(&_tmp_char, 1); \ 678 memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \ 679 (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \ 680 } \ 681 } while(0) 682 #else 683 #define bn_pollute(a) 684 #endif 685 686 #define bn_check_top(a) \ 687 do { \ 688 const BIGNUM *_bnum2 = (a); \ 689 if (_bnum2 != NULL) { \ 690 assert((_bnum2->top == 0) || \ 691 (_bnum2->d[_bnum2->top - 1] != 0)); \ 692 bn_pollute(_bnum2); \ 693 } \ 694 } while(0) 695 696 #define bn_fix_top(a) bn_check_top(a) 697 698 #define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2) 699 #define bn_wcheck_size(bn, words) \ 700 do { \ 701 const BIGNUM *_bnum2 = (bn); \ 702 assert(words <= (_bnum2)->dmax && words >= (_bnum2)->top); \ 703 } while(0) 704 705 #else /* !BN_DEBUG */ 706 707 #define bn_pollute(a) 708 #define bn_check_top(a) 709 #define bn_fix_top(a) bn_correct_top(a) 710 #define bn_check_size(bn, bits) 711 #define bn_wcheck_size(bn, words) 712 713 #endif 714 715 #define bn_correct_top(a) \ 716 { \ 717 BN_ULONG *ftl; \ 718 int tmp_top = (a)->top; \ 719 if (tmp_top > 0) \ 720 { \ 721 for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \ 722 if (*(ftl--)) break; \ 723 (a)->top = tmp_top; \ 724 } \ 725 bn_pollute(a); \ 726 } 727 728 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); 729 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); 730 void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); 731 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); 732 BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, int num); 733 BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, int num); 734 735 /* Primes from RFC 2409 */ 736 BIGNUM *get_rfc2409_prime_768(BIGNUM *bn); 737 BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn); 738 739 /* Primes from RFC 3526 */ 740 BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn); 741 BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn); 742 BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn); 743 BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn); 744 BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn); 745 BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn); 746 747 int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom); 748 749 /* BEGIN ERROR CODES */ 750 /* The following lines are auto generated by the script mkerr.pl. Any changes 751 * made after this point may be overwritten when the script is next run. 752 */ 753 void ERR_load_BN_strings(void); 754 755 /* Error codes for the BN functions. */ 756 757 /* Function codes. */ 758 #define BN_F_BNRAND 127 759 #define BN_F_BN_BLINDING_CONVERT_EX 100 760 #define BN_F_BN_BLINDING_CREATE_PARAM 128 761 #define BN_F_BN_BLINDING_INVERT_EX 101 762 #define BN_F_BN_BLINDING_NEW 102 763 #define BN_F_BN_BLINDING_UPDATE 103 764 #define BN_F_BN_BN2DEC 104 765 #define BN_F_BN_BN2HEX 105 766 #define BN_F_BN_CTX_GET 116 767 #define BN_F_BN_CTX_NEW 106 768 #define BN_F_BN_CTX_START 129 769 #define BN_F_BN_DIV 107 770 #define BN_F_BN_DIV_NO_BRANCH 138 771 #define BN_F_BN_DIV_RECP 130 772 #define BN_F_BN_EXP 123 773 #define BN_F_BN_EXPAND2 108 774 #define BN_F_BN_EXPAND_INTERNAL 120 775 #define BN_F_BN_GF2M_MOD 131 776 #define BN_F_BN_GF2M_MOD_EXP 132 777 #define BN_F_BN_GF2M_MOD_MUL 133 778 #define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134 779 #define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135 780 #define BN_F_BN_GF2M_MOD_SQR 136 781 #define BN_F_BN_GF2M_MOD_SQRT 137 782 #define BN_F_BN_MOD_EXP2_MONT 118 783 #define BN_F_BN_MOD_EXP_MONT 109 784 #define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124 785 #define BN_F_BN_MOD_EXP_MONT_WORD 117 786 #define BN_F_BN_MOD_EXP_RECP 125 787 #define BN_F_BN_MOD_EXP_SIMPLE 126 788 #define BN_F_BN_MOD_INVERSE 110 789 #define BN_F_BN_MOD_INVERSE_NO_BRANCH 139 790 #define BN_F_BN_MOD_LSHIFT_QUICK 119 791 #define BN_F_BN_MOD_MUL_RECIPROCAL 111 792 #define BN_F_BN_MOD_SQRT 121 793 #define BN_F_BN_MPI2BN 112 794 #define BN_F_BN_NEW 113 795 #define BN_F_BN_RAND 114 796 #define BN_F_BN_RAND_RANGE 122 797 #define BN_F_BN_USUB 115 798 799 /* Reason codes. */ 800 #define BN_R_ARG2_LT_ARG3 100 801 #define BN_R_BAD_RECIPROCAL 101 802 #define BN_R_BIGNUM_TOO_LONG 114 803 #define BN_R_CALLED_WITH_EVEN_MODULUS 102 804 #define BN_R_DIV_BY_ZERO 103 805 #define BN_R_ENCODING_ERROR 104 806 #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105 807 #define BN_R_INPUT_NOT_REDUCED 110 808 #define BN_R_INVALID_LENGTH 106 809 #define BN_R_INVALID_RANGE 115 810 #define BN_R_NOT_A_SQUARE 111 811 #define BN_R_NOT_INITIALIZED 107 812 #define BN_R_NO_INVERSE 108 813 #define BN_R_NO_SOLUTION 116 814 #define BN_R_P_IS_NOT_PRIME 112 815 #define BN_R_TOO_MANY_ITERATIONS 113 816 #define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 817 818 #ifdef __cplusplus 819 } 820 #endif 821 #endif 822