1/* $OpenBSD: moduli.c,v 1.26 2012/07/06 00:41:59 dtucker Exp $ */ 2/* 3 * Copyright 1994 Phil Karn <karn@qualcomm.com> 4 * Copyright 1996-1998, 2003 William Allen Simpson <wsimpson@greendragon.com> 5 * Copyright 2000 Niels Provos <provos@citi.umich.edu> 6 * All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 11 * 1. Redistributions of source code must retain the above copyright 12 * notice, this list of conditions and the following disclaimer. 13 * 2. Redistributions in binary form must reproduce the above copyright 14 * notice, this list of conditions and the following disclaimer in the 15 * documentation and/or other materials provided with the distribution. 16 * 17 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR 18 * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES 19 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. 20 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, 21 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 22 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, 23 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY 24 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT 25 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF 26 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 27 */ 28 29/* 30 * Two-step process to generate safe primes for DHGEX 31 * 32 * Sieve candidates for "safe" primes, 33 * suitable for use as Diffie-Hellman moduli; 34 * that is, where q = (p-1)/2 is also prime. 35 * 36 * First step: generate candidate primes (memory intensive) 37 * Second step: test primes' safety (processor intensive) 38 */ 39 40#include "includes.h" 41 42#include <sys/param.h> 43#include <sys/types.h> 44 45#ifdef __APPLE_CRYPTO__ 46#include "ossl-bn.h" 47#include "ossl-dh.h" 48#else 49#include <openssl/bn.h> 50#include <openssl/dh.h> 51#endif 52 53#include <errno.h> 54#include <stdio.h> 55#include <stdlib.h> 56#include <string.h> 57#include <stdarg.h> 58#include <time.h> 59#include <unistd.h> 60 61#include "xmalloc.h" 62#include "dh.h" 63#include "log.h" 64 65#include "openbsd-compat/openssl-compat.h" 66 67/* 68 * File output defines 69 */ 70 71/* need line long enough for largest moduli plus headers */ 72#define QLINESIZE (100+8192) 73 74/* 75 * Size: decimal. 76 * Specifies the number of the most significant bit (0 to M). 77 * WARNING: internally, usually 1 to N. 78 */ 79#define QSIZE_MINIMUM (511) 80 81/* 82 * Prime sieving defines 83 */ 84 85/* Constant: assuming 8 bit bytes and 32 bit words */ 86#define SHIFT_BIT (3) 87#define SHIFT_BYTE (2) 88#define SHIFT_WORD (SHIFT_BIT+SHIFT_BYTE) 89#define SHIFT_MEGABYTE (20) 90#define SHIFT_MEGAWORD (SHIFT_MEGABYTE-SHIFT_BYTE) 91 92/* 93 * Using virtual memory can cause thrashing. This should be the largest 94 * number that is supported without a large amount of disk activity -- 95 * that would increase the run time from hours to days or weeks! 96 */ 97#define LARGE_MINIMUM (8UL) /* megabytes */ 98 99/* 100 * Do not increase this number beyond the unsigned integer bit size. 101 * Due to a multiple of 4, it must be LESS than 128 (yielding 2**30 bits). 102 */ 103#define LARGE_MAXIMUM (127UL) /* megabytes */ 104 105/* 106 * Constant: when used with 32-bit integers, the largest sieve prime 107 * has to be less than 2**32. 108 */ 109#define SMALL_MAXIMUM (0xffffffffUL) 110 111/* Constant: can sieve all primes less than 2**32, as 65537**2 > 2**32-1. */ 112#define TINY_NUMBER (1UL<<16) 113 114/* Ensure enough bit space for testing 2*q. */ 115#define TEST_MAXIMUM (1UL<<16) 116#define TEST_MINIMUM (QSIZE_MINIMUM + 1) 117/* real TEST_MINIMUM (1UL << (SHIFT_WORD - TEST_POWER)) */ 118#define TEST_POWER (3) /* 2**n, n < SHIFT_WORD */ 119 120/* bit operations on 32-bit words */ 121#define BIT_CLEAR(a,n) ((a)[(n)>>SHIFT_WORD] &= ~(1L << ((n) & 31))) 122#define BIT_SET(a,n) ((a)[(n)>>SHIFT_WORD] |= (1L << ((n) & 31))) 123#define BIT_TEST(a,n) ((a)[(n)>>SHIFT_WORD] & (1L << ((n) & 31))) 124 125/* 126 * Prime testing defines 127 */ 128 129/* Minimum number of primality tests to perform */ 130#define TRIAL_MINIMUM (4) 131 132/* 133 * Sieving data (XXX - move to struct) 134 */ 135 136/* sieve 2**16 */ 137static u_int32_t *TinySieve, tinybits; 138 139/* sieve 2**30 in 2**16 parts */ 140static u_int32_t *SmallSieve, smallbits, smallbase; 141 142/* sieve relative to the initial value */ 143static u_int32_t *LargeSieve, largewords, largetries, largenumbers; 144static u_int32_t largebits, largememory; /* megabytes */ 145static BIGNUM *largebase; 146 147int gen_candidates(FILE *, u_int32_t, u_int32_t, BIGNUM *); 148int prime_test(FILE *, FILE *, u_int32_t, u_int32_t, char *, unsigned long, 149 unsigned long); 150 151/* 152 * print moduli out in consistent form, 153 */ 154static int 155qfileout(FILE * ofile, u_int32_t otype, u_int32_t otests, u_int32_t otries, 156 u_int32_t osize, u_int32_t ogenerator, BIGNUM * omodulus) 157{ 158 struct tm *gtm; 159 time_t time_now; 160 int res; 161 162 time(&time_now); 163 gtm = gmtime(&time_now); 164 165 res = fprintf(ofile, "%04d%02d%02d%02d%02d%02d %u %u %u %u %x ", 166 gtm->tm_year + 1900, gtm->tm_mon + 1, gtm->tm_mday, 167 gtm->tm_hour, gtm->tm_min, gtm->tm_sec, 168 otype, otests, otries, osize, ogenerator); 169 170 if (res < 0) 171 return (-1); 172 173 if (BN_print_fp(ofile, omodulus) < 1) 174 return (-1); 175 176 res = fprintf(ofile, "\n"); 177 fflush(ofile); 178 179 return (res > 0 ? 0 : -1); 180} 181 182 183/* 184 ** Sieve p's and q's with small factors 185 */ 186static void 187sieve_large(u_int32_t s) 188{ 189 u_int32_t r, u; 190 191 debug3("sieve_large %u", s); 192 largetries++; 193 /* r = largebase mod s */ 194 r = BN_mod_word(largebase, s); 195 if (r == 0) 196 u = 0; /* s divides into largebase exactly */ 197 else 198 u = s - r; /* largebase+u is first entry divisible by s */ 199 200 if (u < largebits * 2) { 201 /* 202 * The sieve omits p's and q's divisible by 2, so ensure that 203 * largebase+u is odd. Then, step through the sieve in 204 * increments of 2*s 205 */ 206 if (u & 0x1) 207 u += s; /* Make largebase+u odd, and u even */ 208 209 /* Mark all multiples of 2*s */ 210 for (u /= 2; u < largebits; u += s) 211 BIT_SET(LargeSieve, u); 212 } 213 214 /* r = p mod s */ 215 r = (2 * r + 1) % s; 216 if (r == 0) 217 u = 0; /* s divides p exactly */ 218 else 219 u = s - r; /* p+u is first entry divisible by s */ 220 221 if (u < largebits * 4) { 222 /* 223 * The sieve omits p's divisible by 4, so ensure that 224 * largebase+u is not. Then, step through the sieve in 225 * increments of 4*s 226 */ 227 while (u & 0x3) { 228 if (SMALL_MAXIMUM - u < s) 229 return; 230 u += s; 231 } 232 233 /* Mark all multiples of 4*s */ 234 for (u /= 4; u < largebits; u += s) 235 BIT_SET(LargeSieve, u); 236 } 237} 238 239/* 240 * list candidates for Sophie-Germain primes (where q = (p-1)/2) 241 * to standard output. 242 * The list is checked against small known primes (less than 2**30). 243 */ 244int 245gen_candidates(FILE *out, u_int32_t memory, u_int32_t power, BIGNUM *start) 246{ 247 BIGNUM *q; 248 u_int32_t j, r, s, t; 249 u_int32_t smallwords = TINY_NUMBER >> 6; 250 u_int32_t tinywords = TINY_NUMBER >> 6; 251 time_t time_start, time_stop; 252 u_int32_t i; 253 int ret = 0; 254 255 largememory = memory; 256 257 if (memory != 0 && 258 (memory < LARGE_MINIMUM || memory > LARGE_MAXIMUM)) { 259 error("Invalid memory amount (min %ld, max %ld)", 260 LARGE_MINIMUM, LARGE_MAXIMUM); 261 return (-1); 262 } 263 264 /* 265 * Set power to the length in bits of the prime to be generated. 266 * This is changed to 1 less than the desired safe prime moduli p. 267 */ 268 if (power > TEST_MAXIMUM) { 269 error("Too many bits: %u > %lu", power, TEST_MAXIMUM); 270 return (-1); 271 } else if (power < TEST_MINIMUM) { 272 error("Too few bits: %u < %u", power, TEST_MINIMUM); 273 return (-1); 274 } 275 power--; /* decrement before squaring */ 276 277 /* 278 * The density of ordinary primes is on the order of 1/bits, so the 279 * density of safe primes should be about (1/bits)**2. Set test range 280 * to something well above bits**2 to be reasonably sure (but not 281 * guaranteed) of catching at least one safe prime. 282 */ 283 largewords = ((power * power) >> (SHIFT_WORD - TEST_POWER)); 284 285 /* 286 * Need idea of how much memory is available. We don't have to use all 287 * of it. 288 */ 289 if (largememory > LARGE_MAXIMUM) { 290 logit("Limited memory: %u MB; limit %lu MB", 291 largememory, LARGE_MAXIMUM); 292 largememory = LARGE_MAXIMUM; 293 } 294 295 if (largewords <= (largememory << SHIFT_MEGAWORD)) { 296 logit("Increased memory: %u MB; need %u bytes", 297 largememory, (largewords << SHIFT_BYTE)); 298 largewords = (largememory << SHIFT_MEGAWORD); 299 } else if (largememory > 0) { 300 logit("Decreased memory: %u MB; want %u bytes", 301 largememory, (largewords << SHIFT_BYTE)); 302 largewords = (largememory << SHIFT_MEGAWORD); 303 } 304 305 TinySieve = xcalloc(tinywords, sizeof(u_int32_t)); 306 tinybits = tinywords << SHIFT_WORD; 307 308 SmallSieve = xcalloc(smallwords, sizeof(u_int32_t)); 309 smallbits = smallwords << SHIFT_WORD; 310 311 /* 312 * dynamically determine available memory 313 */ 314 while ((LargeSieve = calloc(largewords, sizeof(u_int32_t))) == NULL) 315 largewords -= (1L << (SHIFT_MEGAWORD - 2)); /* 1/4 MB chunks */ 316 317 largebits = largewords << SHIFT_WORD; 318 largenumbers = largebits * 2; /* even numbers excluded */ 319 320 /* validation check: count the number of primes tried */ 321 largetries = 0; 322 if ((q = BN_new()) == NULL) 323 fatal("BN_new failed"); 324 325 /* 326 * Generate random starting point for subprime search, or use 327 * specified parameter. 328 */ 329 if ((largebase = BN_new()) == NULL) 330 fatal("BN_new failed"); 331 if (start == NULL) { 332 if (BN_rand(largebase, power, 1, 1) == 0) 333 fatal("BN_rand failed"); 334 } else { 335 if (BN_copy(largebase, start) == NULL) 336 fatal("BN_copy: failed"); 337 } 338 339 /* ensure odd */ 340 if (BN_set_bit(largebase, 0) == 0) 341 fatal("BN_set_bit: failed"); 342 343 time(&time_start); 344 345 logit("%.24s Sieve next %u plus %u-bit", ctime(&time_start), 346 largenumbers, power); 347 debug2("start point: 0x%s", BN_bn2hex(largebase)); 348 349 /* 350 * TinySieve 351 */ 352 for (i = 0; i < tinybits; i++) { 353 if (BIT_TEST(TinySieve, i)) 354 continue; /* 2*i+3 is composite */ 355 356 /* The next tiny prime */ 357 t = 2 * i + 3; 358 359 /* Mark all multiples of t */ 360 for (j = i + t; j < tinybits; j += t) 361 BIT_SET(TinySieve, j); 362 363 sieve_large(t); 364 } 365 366 /* 367 * Start the small block search at the next possible prime. To avoid 368 * fencepost errors, the last pass is skipped. 369 */ 370 for (smallbase = TINY_NUMBER + 3; 371 smallbase < (SMALL_MAXIMUM - TINY_NUMBER); 372 smallbase += TINY_NUMBER) { 373 for (i = 0; i < tinybits; i++) { 374 if (BIT_TEST(TinySieve, i)) 375 continue; /* 2*i+3 is composite */ 376 377 /* The next tiny prime */ 378 t = 2 * i + 3; 379 r = smallbase % t; 380 381 if (r == 0) { 382 s = 0; /* t divides into smallbase exactly */ 383 } else { 384 /* smallbase+s is first entry divisible by t */ 385 s = t - r; 386 } 387 388 /* 389 * The sieve omits even numbers, so ensure that 390 * smallbase+s is odd. Then, step through the sieve 391 * in increments of 2*t 392 */ 393 if (s & 1) 394 s += t; /* Make smallbase+s odd, and s even */ 395 396 /* Mark all multiples of 2*t */ 397 for (s /= 2; s < smallbits; s += t) 398 BIT_SET(SmallSieve, s); 399 } 400 401 /* 402 * SmallSieve 403 */ 404 for (i = 0; i < smallbits; i++) { 405 if (BIT_TEST(SmallSieve, i)) 406 continue; /* 2*i+smallbase is composite */ 407 408 /* The next small prime */ 409 sieve_large((2 * i) + smallbase); 410 } 411 412 memset(SmallSieve, 0, smallwords << SHIFT_BYTE); 413 } 414 415 time(&time_stop); 416 417 logit("%.24s Sieved with %u small primes in %ld seconds", 418 ctime(&time_stop), largetries, (long) (time_stop - time_start)); 419 420 for (j = r = 0; j < largebits; j++) { 421 if (BIT_TEST(LargeSieve, j)) 422 continue; /* Definitely composite, skip */ 423 424 debug2("test q = largebase+%u", 2 * j); 425 if (BN_set_word(q, 2 * j) == 0) 426 fatal("BN_set_word failed"); 427 if (BN_add(q, q, largebase) == 0) 428 fatal("BN_add failed"); 429 if (qfileout(out, MODULI_TYPE_SOPHIE_GERMAIN, 430 MODULI_TESTS_SIEVE, largetries, 431 (power - 1) /* MSB */, (0), q) == -1) { 432 ret = -1; 433 break; 434 } 435 436 r++; /* count q */ 437 } 438 439 time(&time_stop); 440 441 xfree(LargeSieve); 442 xfree(SmallSieve); 443 xfree(TinySieve); 444 445 logit("%.24s Found %u candidates", ctime(&time_stop), r); 446 447 return (ret); 448} 449 450static void 451write_checkpoint(char *cpfile, u_int32_t lineno) 452{ 453 FILE *fp; 454 char tmp[MAXPATHLEN]; 455 int r; 456 457 r = snprintf(tmp, sizeof(tmp), "%s.XXXXXXXXXX", cpfile); 458 if (r == -1 || r >= MAXPATHLEN) { 459 logit("write_checkpoint: temp pathname too long"); 460 return; 461 } 462 if ((r = mkstemp(tmp)) == -1) { 463 logit("mkstemp(%s): %s", tmp, strerror(errno)); 464 return; 465 } 466 if ((fp = fdopen(r, "w")) == NULL) { 467 logit("write_checkpoint: fdopen: %s", strerror(errno)); 468 close(r); 469 return; 470 } 471 if (fprintf(fp, "%lu\n", (unsigned long)lineno) > 0 && fclose(fp) == 0 472 && rename(tmp, cpfile) == 0) 473 debug3("wrote checkpoint line %lu to '%s'", 474 (unsigned long)lineno, cpfile); 475 else 476 logit("failed to write to checkpoint file '%s': %s", cpfile, 477 strerror(errno)); 478} 479 480static unsigned long 481read_checkpoint(char *cpfile) 482{ 483 FILE *fp; 484 unsigned long lineno = 0; 485 486 if ((fp = fopen(cpfile, "r")) == NULL) 487 return 0; 488 if (fscanf(fp, "%lu\n", &lineno) < 1) 489 logit("Failed to load checkpoint from '%s'", cpfile); 490 else 491 logit("Loaded checkpoint from '%s' line %lu", cpfile, lineno); 492 fclose(fp); 493 return lineno; 494} 495 496/* 497 * perform a Miller-Rabin primality test 498 * on the list of candidates 499 * (checking both q and p) 500 * The result is a list of so-call "safe" primes 501 */ 502int 503prime_test(FILE *in, FILE *out, u_int32_t trials, u_int32_t generator_wanted, 504 char *checkpoint_file, unsigned long start_lineno, unsigned long num_lines) 505{ 506 BIGNUM *q, *p, *a; 507 BN_CTX *ctx; 508 char *cp, *lp; 509 u_int32_t count_in = 0, count_out = 0, count_possible = 0; 510 u_int32_t generator_known, in_tests, in_tries, in_type, in_size; 511 unsigned long last_processed = 0, end_lineno; 512 time_t time_start, time_stop; 513 int res; 514 515 if (trials < TRIAL_MINIMUM) { 516 error("Minimum primality trials is %d", TRIAL_MINIMUM); 517 return (-1); 518 } 519 520 time(&time_start); 521 522 if ((p = BN_new()) == NULL) 523 fatal("BN_new failed"); 524 if ((q = BN_new()) == NULL) 525 fatal("BN_new failed"); 526 if ((ctx = BN_CTX_new()) == NULL) 527 fatal("BN_CTX_new failed"); 528 529 debug2("%.24s Final %u Miller-Rabin trials (%x generator)", 530 ctime(&time_start), trials, generator_wanted); 531 532 if (checkpoint_file != NULL) 533 last_processed = read_checkpoint(checkpoint_file); 534 if (start_lineno > last_processed) 535 last_processed = start_lineno; 536 if (num_lines == 0) 537 end_lineno = ULONG_MAX; 538 else 539 end_lineno = last_processed + num_lines; 540 debug2("process line %lu to line %lu", last_processed, end_lineno); 541 542 res = 0; 543 lp = xmalloc(QLINESIZE + 1); 544 while (fgets(lp, QLINESIZE + 1, in) != NULL && count_in < end_lineno) { 545 count_in++; 546 if (checkpoint_file != NULL) { 547 if (count_in <= last_processed) { 548 debug3("skipping line %u, before checkpoint", 549 count_in); 550 continue; 551 } 552 write_checkpoint(checkpoint_file, count_in); 553 } 554 if (strlen(lp) < 14 || *lp == '!' || *lp == '#') { 555 debug2("%10u: comment or short line", count_in); 556 continue; 557 } 558 559 /* XXX - fragile parser */ 560 /* time */ 561 cp = &lp[14]; /* (skip) */ 562 563 /* type */ 564 in_type = strtoul(cp, &cp, 10); 565 566 /* tests */ 567 in_tests = strtoul(cp, &cp, 10); 568 569 if (in_tests & MODULI_TESTS_COMPOSITE) { 570 debug2("%10u: known composite", count_in); 571 continue; 572 } 573 574 /* tries */ 575 in_tries = strtoul(cp, &cp, 10); 576 577 /* size (most significant bit) */ 578 in_size = strtoul(cp, &cp, 10); 579 580 /* generator (hex) */ 581 generator_known = strtoul(cp, &cp, 16); 582 583 /* Skip white space */ 584 cp += strspn(cp, " "); 585 586 /* modulus (hex) */ 587 switch (in_type) { 588 case MODULI_TYPE_SOPHIE_GERMAIN: 589 debug2("%10u: (%u) Sophie-Germain", count_in, in_type); 590 a = q; 591 if (BN_hex2bn(&a, cp) == 0) 592 fatal("BN_hex2bn failed"); 593 /* p = 2*q + 1 */ 594 if (BN_lshift(p, q, 1) == 0) 595 fatal("BN_lshift failed"); 596 if (BN_add_word(p, 1) == 0) 597 fatal("BN_add_word failed"); 598 in_size += 1; 599 generator_known = 0; 600 break; 601 case MODULI_TYPE_UNSTRUCTURED: 602 case MODULI_TYPE_SAFE: 603 case MODULI_TYPE_SCHNORR: 604 case MODULI_TYPE_STRONG: 605 case MODULI_TYPE_UNKNOWN: 606 debug2("%10u: (%u)", count_in, in_type); 607 a = p; 608 if (BN_hex2bn(&a, cp) == 0) 609 fatal("BN_hex2bn failed"); 610 /* q = (p-1) / 2 */ 611 if (BN_rshift(q, p, 1) == 0) 612 fatal("BN_rshift failed"); 613 break; 614 default: 615 debug2("Unknown prime type"); 616 break; 617 } 618 619 /* 620 * due to earlier inconsistencies in interpretation, check 621 * the proposed bit size. 622 */ 623 if ((u_int32_t)BN_num_bits(p) != (in_size + 1)) { 624 debug2("%10u: bit size %u mismatch", count_in, in_size); 625 continue; 626 } 627 if (in_size < QSIZE_MINIMUM) { 628 debug2("%10u: bit size %u too short", count_in, in_size); 629 continue; 630 } 631 632 if (in_tests & MODULI_TESTS_MILLER_RABIN) 633 in_tries += trials; 634 else 635 in_tries = trials; 636 637 /* 638 * guess unknown generator 639 */ 640 if (generator_known == 0) { 641 if (BN_mod_word(p, 24) == 11) 642 generator_known = 2; 643 else if (BN_mod_word(p, 12) == 5) 644 generator_known = 3; 645 else { 646 u_int32_t r = BN_mod_word(p, 10); 647 648 if (r == 3 || r == 7) 649 generator_known = 5; 650 } 651 } 652 /* 653 * skip tests when desired generator doesn't match 654 */ 655 if (generator_wanted > 0 && 656 generator_wanted != generator_known) { 657 debug2("%10u: generator %d != %d", 658 count_in, generator_known, generator_wanted); 659 continue; 660 } 661 662 /* 663 * Primes with no known generator are useless for DH, so 664 * skip those. 665 */ 666 if (generator_known == 0) { 667 debug2("%10u: no known generator", count_in); 668 continue; 669 } 670 671 count_possible++; 672 673 /* 674 * The (1/4)^N performance bound on Miller-Rabin is 675 * extremely pessimistic, so don't spend a lot of time 676 * really verifying that q is prime until after we know 677 * that p is also prime. A single pass will weed out the 678 * vast majority of composite q's. 679 */ 680 if (BN_is_prime_ex(q, 1, ctx, NULL) <= 0) { 681 debug("%10u: q failed first possible prime test", 682 count_in); 683 continue; 684 } 685 686 /* 687 * q is possibly prime, so go ahead and really make sure 688 * that p is prime. If it is, then we can go back and do 689 * the same for q. If p is composite, chances are that 690 * will show up on the first Rabin-Miller iteration so it 691 * doesn't hurt to specify a high iteration count. 692 */ 693 if (!BN_is_prime_ex(p, trials, ctx, NULL)) { 694 debug("%10u: p is not prime", count_in); 695 continue; 696 } 697 debug("%10u: p is almost certainly prime", count_in); 698 699 /* recheck q more rigorously */ 700 if (!BN_is_prime_ex(q, trials - 1, ctx, NULL)) { 701 debug("%10u: q is not prime", count_in); 702 continue; 703 } 704 debug("%10u: q is almost certainly prime", count_in); 705 706 if (qfileout(out, MODULI_TYPE_SAFE, 707 in_tests | MODULI_TESTS_MILLER_RABIN, 708 in_tries, in_size, generator_known, p)) { 709 res = -1; 710 break; 711 } 712 713 count_out++; 714 } 715 716 time(&time_stop); 717 xfree(lp); 718 BN_free(p); 719 BN_free(q); 720 BN_CTX_free(ctx); 721 722 if (checkpoint_file != NULL) 723 unlink(checkpoint_file); 724 725 logit("%.24s Found %u safe primes of %u candidates in %ld seconds", 726 ctime(&time_stop), count_out, count_possible, 727 (long) (time_stop - time_start)); 728 729 return (res); 730} 731