diff options
Diffstat (limited to 'src/lib/libcrypto/bn/bn_prime.c')
| -rw-r--r-- | src/lib/libcrypto/bn/bn_prime.c | 466 |
1 files changed, 466 insertions, 0 deletions
diff --git a/src/lib/libcrypto/bn/bn_prime.c b/src/lib/libcrypto/bn/bn_prime.c new file mode 100644 index 0000000000..918b9237c6 --- /dev/null +++ b/src/lib/libcrypto/bn/bn_prime.c | |||
| @@ -0,0 +1,466 @@ | |||
| 1 | /* crypto/bn/bn_prime.c */ | ||
| 2 | /* Copyright (C) 1995-1998 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) 1998-2001 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 | #include <stdio.h> | ||
| 113 | #include <time.h> | ||
| 114 | #include "cryptlib.h" | ||
| 115 | #include "bn_lcl.h" | ||
| 116 | #include <openssl/rand.h> | ||
| 117 | |||
| 118 | /* The quick sieve algorithm approach to weeding out primes is | ||
| 119 | * Philip Zimmermann's, as implemented in PGP. I have had a read of | ||
| 120 | * his comments and implemented my own version. | ||
| 121 | */ | ||
| 122 | #include "bn_prime.h" | ||
| 123 | |||
| 124 | static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1, | ||
| 125 | const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont); | ||
| 126 | static int probable_prime(BIGNUM *rnd, int bits); | ||
| 127 | static int probable_prime_dh(BIGNUM *rnd, int bits, | ||
| 128 | const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx); | ||
| 129 | static int probable_prime_dh_safe(BIGNUM *rnd, int bits, | ||
| 130 | const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx); | ||
| 131 | |||
| 132 | BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe, | ||
| 133 | const BIGNUM *add, const BIGNUM *rem, | ||
| 134 | void (*callback)(int,int,void *), void *cb_arg) | ||
| 135 | { | ||
| 136 | BIGNUM *rnd=NULL; | ||
| 137 | BIGNUM t; | ||
| 138 | int found=0; | ||
| 139 | int i,j,c1=0; | ||
| 140 | BN_CTX *ctx; | ||
| 141 | int checks = BN_prime_checks_for_size(bits); | ||
| 142 | |||
| 143 | ctx=BN_CTX_new(); | ||
| 144 | if (ctx == NULL) goto err; | ||
| 145 | if (ret == NULL) | ||
| 146 | { | ||
| 147 | if ((rnd=BN_new()) == NULL) goto err; | ||
| 148 | } | ||
| 149 | else | ||
| 150 | rnd=ret; | ||
| 151 | BN_init(&t); | ||
| 152 | loop: | ||
| 153 | /* make a random number and set the top and bottom bits */ | ||
| 154 | if (add == NULL) | ||
| 155 | { | ||
| 156 | if (!probable_prime(rnd,bits)) goto err; | ||
| 157 | } | ||
| 158 | else | ||
| 159 | { | ||
| 160 | if (safe) | ||
| 161 | { | ||
| 162 | if (!probable_prime_dh_safe(rnd,bits,add,rem,ctx)) | ||
| 163 | goto err; | ||
| 164 | } | ||
| 165 | else | ||
| 166 | { | ||
| 167 | if (!probable_prime_dh(rnd,bits,add,rem,ctx)) | ||
| 168 | goto err; | ||
| 169 | } | ||
| 170 | } | ||
| 171 | /* if (BN_mod_word(rnd,(BN_ULONG)3) == 1) goto loop; */ | ||
| 172 | if (callback != NULL) callback(0,c1++,cb_arg); | ||
| 173 | |||
| 174 | if (!safe) | ||
| 175 | { | ||
| 176 | i=BN_is_prime_fasttest(rnd,checks,callback,ctx,cb_arg,0); | ||
| 177 | if (i == -1) goto err; | ||
| 178 | if (i == 0) goto loop; | ||
| 179 | } | ||
| 180 | else | ||
| 181 | { | ||
| 182 | /* for "safe prime" generation, | ||
| 183 | * check that (p-1)/2 is prime. | ||
| 184 | * Since a prime is odd, We just | ||
| 185 | * need to divide by 2 */ | ||
| 186 | if (!BN_rshift1(&t,rnd)) goto err; | ||
| 187 | |||
| 188 | for (i=0; i<checks; i++) | ||
| 189 | { | ||
| 190 | j=BN_is_prime_fasttest(rnd,1,callback,ctx,cb_arg,0); | ||
| 191 | if (j == -1) goto err; | ||
| 192 | if (j == 0) goto loop; | ||
| 193 | |||
| 194 | j=BN_is_prime_fasttest(&t,1,callback,ctx,cb_arg,0); | ||
| 195 | if (j == -1) goto err; | ||
| 196 | if (j == 0) goto loop; | ||
| 197 | |||
| 198 | if (callback != NULL) callback(2,c1-1,cb_arg); | ||
| 199 | /* We have a safe prime test pass */ | ||
| 200 | } | ||
| 201 | } | ||
| 202 | /* we have a prime :-) */ | ||
| 203 | found = 1; | ||
| 204 | err: | ||
| 205 | if (!found && (ret == NULL) && (rnd != NULL)) BN_free(rnd); | ||
| 206 | BN_free(&t); | ||
| 207 | if (ctx != NULL) BN_CTX_free(ctx); | ||
| 208 | return(found ? rnd : NULL); | ||
| 209 | } | ||
| 210 | |||
| 211 | int BN_is_prime(const BIGNUM *a, int checks, void (*callback)(int,int,void *), | ||
| 212 | BN_CTX *ctx_passed, void *cb_arg) | ||
| 213 | { | ||
| 214 | return BN_is_prime_fasttest(a, checks, callback, ctx_passed, cb_arg, 0); | ||
| 215 | } | ||
| 216 | |||
| 217 | int BN_is_prime_fasttest(const BIGNUM *a, int checks, | ||
| 218 | void (*callback)(int,int,void *), | ||
| 219 | BN_CTX *ctx_passed, void *cb_arg, | ||
| 220 | int do_trial_division) | ||
| 221 | { | ||
| 222 | int i, j, ret = -1; | ||
| 223 | int k; | ||
| 224 | BN_CTX *ctx = NULL; | ||
| 225 | BIGNUM *A1, *A1_odd, *check; /* taken from ctx */ | ||
| 226 | BN_MONT_CTX *mont = NULL; | ||
| 227 | const BIGNUM *A = NULL; | ||
| 228 | |||
| 229 | if (BN_cmp(a, BN_value_one()) <= 0) | ||
| 230 | return 0; | ||
| 231 | |||
| 232 | if (checks == BN_prime_checks) | ||
| 233 | checks = BN_prime_checks_for_size(BN_num_bits(a)); | ||
| 234 | |||
| 235 | /* first look for small factors */ | ||
| 236 | if (!BN_is_odd(a)) | ||
| 237 | return 0; | ||
| 238 | if (do_trial_division) | ||
| 239 | { | ||
| 240 | for (i = 1; i < NUMPRIMES; i++) | ||
| 241 | if (BN_mod_word(a, primes[i]) == 0) | ||
| 242 | return 0; | ||
| 243 | if (callback != NULL) callback(1, -1, cb_arg); | ||
| 244 | } | ||
| 245 | |||
| 246 | if (ctx_passed != NULL) | ||
| 247 | ctx = ctx_passed; | ||
| 248 | else | ||
| 249 | if ((ctx=BN_CTX_new()) == NULL) | ||
| 250 | goto err; | ||
| 251 | BN_CTX_start(ctx); | ||
| 252 | |||
| 253 | /* A := abs(a) */ | ||
| 254 | if (a->neg) | ||
| 255 | { | ||
| 256 | BIGNUM *t; | ||
| 257 | if ((t = BN_CTX_get(ctx)) == NULL) goto err; | ||
| 258 | BN_copy(t, a); | ||
| 259 | t->neg = 0; | ||
| 260 | A = t; | ||
| 261 | } | ||
| 262 | else | ||
| 263 | A = a; | ||
| 264 | A1 = BN_CTX_get(ctx); | ||
| 265 | A1_odd = BN_CTX_get(ctx); | ||
| 266 | check = BN_CTX_get(ctx); | ||
| 267 | if (check == NULL) goto err; | ||
| 268 | |||
| 269 | /* compute A1 := A - 1 */ | ||
| 270 | if (!BN_copy(A1, A)) | ||
| 271 | goto err; | ||
| 272 | if (!BN_sub_word(A1, 1)) | ||
| 273 | goto err; | ||
| 274 | if (BN_is_zero(A1)) | ||
| 275 | { | ||
| 276 | ret = 0; | ||
| 277 | goto err; | ||
| 278 | } | ||
| 279 | |||
| 280 | /* write A1 as A1_odd * 2^k */ | ||
| 281 | k = 1; | ||
| 282 | while (!BN_is_bit_set(A1, k)) | ||
| 283 | k++; | ||
| 284 | if (!BN_rshift(A1_odd, A1, k)) | ||
| 285 | goto err; | ||
| 286 | |||
| 287 | /* Montgomery setup for computations mod A */ | ||
| 288 | mont = BN_MONT_CTX_new(); | ||
| 289 | if (mont == NULL) | ||
| 290 | goto err; | ||
| 291 | if (!BN_MONT_CTX_set(mont, A, ctx)) | ||
| 292 | goto err; | ||
| 293 | |||
| 294 | for (i = 0; i < checks; i++) | ||
| 295 | { | ||
| 296 | if (!BN_pseudo_rand_range(check, A1)) | ||
| 297 | goto err; | ||
| 298 | if (!BN_add_word(check, 1)) | ||
| 299 | goto err; | ||
| 300 | /* now 1 <= check < A */ | ||
| 301 | |||
| 302 | j = witness(check, A, A1, A1_odd, k, ctx, mont); | ||
| 303 | if (j == -1) goto err; | ||
| 304 | if (j) | ||
| 305 | { | ||
| 306 | ret=0; | ||
| 307 | goto err; | ||
| 308 | } | ||
| 309 | if (callback != NULL) callback(1,i,cb_arg); | ||
| 310 | } | ||
| 311 | ret=1; | ||
| 312 | err: | ||
| 313 | if (ctx != NULL) | ||
| 314 | { | ||
| 315 | BN_CTX_end(ctx); | ||
| 316 | if (ctx_passed == NULL) | ||
| 317 | BN_CTX_free(ctx); | ||
| 318 | } | ||
| 319 | if (mont != NULL) | ||
| 320 | BN_MONT_CTX_free(mont); | ||
| 321 | |||
| 322 | return(ret); | ||
| 323 | } | ||
| 324 | |||
| 325 | static int witness(BIGNUM *w, const BIGNUM *a, const BIGNUM *a1, | ||
| 326 | const BIGNUM *a1_odd, int k, BN_CTX *ctx, BN_MONT_CTX *mont) | ||
| 327 | { | ||
| 328 | if (!BN_mod_exp_mont(w, w, a1_odd, a, ctx, mont)) /* w := w^a1_odd mod a */ | ||
| 329 | return -1; | ||
| 330 | if (BN_is_one(w)) | ||
| 331 | return 0; /* probably prime */ | ||
| 332 | if (BN_cmp(w, a1) == 0) | ||
| 333 | return 0; /* w == -1 (mod a), 'a' is probably prime */ | ||
| 334 | while (--k) | ||
| 335 | { | ||
| 336 | if (!BN_mod_mul(w, w, w, a, ctx)) /* w := w^2 mod a */ | ||
| 337 | return -1; | ||
| 338 | if (BN_is_one(w)) | ||
| 339 | return 1; /* 'a' is composite, otherwise a previous 'w' would | ||
| 340 | * have been == -1 (mod 'a') */ | ||
| 341 | if (BN_cmp(w, a1) == 0) | ||
| 342 | return 0; /* w == -1 (mod a), 'a' is probably prime */ | ||
| 343 | } | ||
| 344 | /* If we get here, 'w' is the (a-1)/2-th power of the original 'w', | ||
| 345 | * and it is neither -1 nor +1 -- so 'a' cannot be prime */ | ||
| 346 | return 1; | ||
| 347 | } | ||
| 348 | |||
| 349 | static int probable_prime(BIGNUM *rnd, int bits) | ||
| 350 | { | ||
| 351 | int i; | ||
| 352 | BN_ULONG mods[NUMPRIMES]; | ||
| 353 | BN_ULONG delta,d; | ||
| 354 | |||
| 355 | again: | ||
| 356 | if (!BN_rand(rnd,bits,1,1)) return(0); | ||
| 357 | /* we now have a random number 'rand' to test. */ | ||
| 358 | for (i=1; i<NUMPRIMES; i++) | ||
| 359 | mods[i]=BN_mod_word(rnd,(BN_ULONG)primes[i]); | ||
| 360 | delta=0; | ||
| 361 | loop: for (i=1; i<NUMPRIMES; i++) | ||
| 362 | { | ||
| 363 | /* check that rnd is not a prime and also | ||
| 364 | * that gcd(rnd-1,primes) == 1 (except for 2) */ | ||
| 365 | if (((mods[i]+delta)%primes[i]) <= 1) | ||
| 366 | { | ||
| 367 | d=delta; | ||
| 368 | delta+=2; | ||
| 369 | /* perhaps need to check for overflow of | ||
| 370 | * delta (but delta can be up to 2^32) | ||
| 371 | * 21-May-98 eay - added overflow check */ | ||
| 372 | if (delta < d) goto again; | ||
| 373 | goto loop; | ||
| 374 | } | ||
| 375 | } | ||
| 376 | if (!BN_add_word(rnd,delta)) return(0); | ||
| 377 | return(1); | ||
| 378 | } | ||
| 379 | |||
| 380 | static int probable_prime_dh(BIGNUM *rnd, int bits, | ||
| 381 | const BIGNUM *add, const BIGNUM *rem, BN_CTX *ctx) | ||
| 382 | { | ||
| 383 | int i,ret=0; | ||
| 384 | BIGNUM *t1; | ||
| 385 | |||
| 386 | BN_CTX_start(ctx); | ||
| 387 | if ((t1 = BN_CTX_get(ctx)) == NULL) goto err; | ||
| 388 | |||
| 389 | if (!BN_rand(rnd,bits,0,1)) goto err; | ||
| 390 | |||
| 391 | /* we need ((rnd-rem) % add) == 0 */ | ||
| 392 | |||
| 393 | if (!BN_mod(t1,rnd,add,ctx)) goto err; | ||
| 394 | if (!BN_sub(rnd,rnd,t1)) goto err; | ||
| 395 | if (rem == NULL) | ||
| 396 | { if (!BN_add_word(rnd,1)) goto err; } | ||
| 397 | else | ||
| 398 | { if (!BN_add(rnd,rnd,rem)) goto err; } | ||
| 399 | |||
| 400 | /* we now have a random number 'rand' to test. */ | ||
| 401 | |||
| 402 | loop: for (i=1; i<NUMPRIMES; i++) | ||
| 403 | { | ||
| 404 | /* check that rnd is a prime */ | ||
| 405 | if (BN_mod_word(rnd,(BN_ULONG)primes[i]) <= 1) | ||
| 406 | { | ||
| 407 | if (!BN_add(rnd,rnd,add)) goto err; | ||
| 408 | goto loop; | ||
| 409 | } | ||
| 410 | } | ||
| 411 | ret=1; | ||
| 412 | err: | ||
| 413 | BN_CTX_end(ctx); | ||
| 414 | return(ret); | ||
| 415 | } | ||
| 416 | |||
| 417 | static int probable_prime_dh_safe(BIGNUM *p, int bits, const BIGNUM *padd, | ||
| 418 | const BIGNUM *rem, BN_CTX *ctx) | ||
| 419 | { | ||
| 420 | int i,ret=0; | ||
| 421 | BIGNUM *t1,*qadd,*q; | ||
| 422 | |||
| 423 | bits--; | ||
| 424 | BN_CTX_start(ctx); | ||
| 425 | t1 = BN_CTX_get(ctx); | ||
| 426 | q = BN_CTX_get(ctx); | ||
| 427 | qadd = BN_CTX_get(ctx); | ||
| 428 | if (qadd == NULL) goto err; | ||
| 429 | |||
| 430 | if (!BN_rshift1(qadd,padd)) goto err; | ||
| 431 | |||
| 432 | if (!BN_rand(q,bits,0,1)) goto err; | ||
| 433 | |||
| 434 | /* we need ((rnd-rem) % add) == 0 */ | ||
| 435 | if (!BN_mod(t1,q,qadd,ctx)) goto err; | ||
| 436 | if (!BN_sub(q,q,t1)) goto err; | ||
| 437 | if (rem == NULL) | ||
| 438 | { if (!BN_add_word(q,1)) goto err; } | ||
| 439 | else | ||
| 440 | { | ||
| 441 | if (!BN_rshift1(t1,rem)) goto err; | ||
| 442 | if (!BN_add(q,q,t1)) goto err; | ||
| 443 | } | ||
| 444 | |||
| 445 | /* we now have a random number 'rand' to test. */ | ||
| 446 | if (!BN_lshift1(p,q)) goto err; | ||
| 447 | if (!BN_add_word(p,1)) goto err; | ||
| 448 | |||
| 449 | loop: for (i=1; i<NUMPRIMES; i++) | ||
| 450 | { | ||
| 451 | /* check that p and q are prime */ | ||
| 452 | /* check that for p and q | ||
| 453 | * gcd(p-1,primes) == 1 (except for 2) */ | ||
| 454 | if ( (BN_mod_word(p,(BN_ULONG)primes[i]) == 0) || | ||
| 455 | (BN_mod_word(q,(BN_ULONG)primes[i]) == 0)) | ||
| 456 | { | ||
| 457 | if (!BN_add(p,p,padd)) goto err; | ||
| 458 | if (!BN_add(q,q,qadd)) goto err; | ||
| 459 | goto loop; | ||
| 460 | } | ||
| 461 | } | ||
| 462 | ret=1; | ||
| 463 | err: | ||
| 464 | BN_CTX_end(ctx); | ||
| 465 | return(ret); | ||
| 466 | } | ||
