doug@openbsd.org | 7df8818 | 2014-08-21 01:08:52 +0000 | [diff] [blame] | 1 | /* $OpenBSD: moduli.c,v 1.29 2014/08/21 01:08:52 doug Exp $ */ |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 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" |
Damien Miller | 5598b4f | 2006-07-24 14:09:40 +1000 | [diff] [blame] | 41 | |
Damien Miller | 72ef7c1 | 2015-01-15 02:21:31 +1100 | [diff] [blame] | 42 | #ifdef WITH_OPENSSL |
| 43 | |
Damien Miller | 91f3eae | 2011-10-18 16:05:55 +1100 | [diff] [blame] | 44 | #include <sys/param.h> |
Damien Miller | 5598b4f | 2006-07-24 14:09:40 +1000 | [diff] [blame] | 45 | #include <sys/types.h> |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 46 | |
| 47 | #include <openssl/bn.h> |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 48 | #include <openssl/dh.h> |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 49 | |
Damien Miller | 91f3eae | 2011-10-18 16:05:55 +1100 | [diff] [blame] | 50 | #include <errno.h> |
Damien Miller | a7a73ee | 2006-08-05 11:37:59 +1000 | [diff] [blame] | 51 | #include <stdio.h> |
Damien Miller | e7a1e5c | 2006-08-05 11:34:19 +1000 | [diff] [blame] | 52 | #include <stdlib.h> |
Damien Miller | e3476ed | 2006-07-24 14:13:33 +1000 | [diff] [blame] | 53 | #include <string.h> |
Damien Miller | d783435 | 2006-08-05 12:39:39 +1000 | [diff] [blame] | 54 | #include <stdarg.h> |
Damien Miller | 5598b4f | 2006-07-24 14:09:40 +1000 | [diff] [blame] | 55 | #include <time.h> |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 56 | #include <unistd.h> |
Damien Miller | 5598b4f | 2006-07-24 14:09:40 +1000 | [diff] [blame] | 57 | |
| 58 | #include "xmalloc.h" |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 59 | #include "dh.h" |
Damien Miller | 5598b4f | 2006-07-24 14:09:40 +1000 | [diff] [blame] | 60 | #include "log.h" |
Damien Miller | 4bedd40 | 2013-10-24 21:02:26 +1100 | [diff] [blame] | 61 | #include "misc.h" |
Damien Miller | 5598b4f | 2006-07-24 14:09:40 +1000 | [diff] [blame] | 62 | |
Darren Tucker | ebdef76 | 2010-12-04 23:20:50 +1100 | [diff] [blame] | 63 | #include "openbsd-compat/openssl-compat.h" |
| 64 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 65 | /* |
| 66 | * File output defines |
| 67 | */ |
| 68 | |
| 69 | /* need line long enough for largest moduli plus headers */ |
Darren Tucker | fc95970 | 2004-07-17 16:12:08 +1000 | [diff] [blame] | 70 | #define QLINESIZE (100+8192) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 71 | |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 72 | /* |
| 73 | * Size: decimal. |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 74 | * Specifies the number of the most significant bit (0 to M). |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 75 | * WARNING: internally, usually 1 to N. |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 76 | */ |
Darren Tucker | fc95970 | 2004-07-17 16:12:08 +1000 | [diff] [blame] | 77 | #define QSIZE_MINIMUM (511) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 78 | |
| 79 | /* |
| 80 | * Prime sieving defines |
| 81 | */ |
| 82 | |
| 83 | /* Constant: assuming 8 bit bytes and 32 bit words */ |
Darren Tucker | fc95970 | 2004-07-17 16:12:08 +1000 | [diff] [blame] | 84 | #define SHIFT_BIT (3) |
| 85 | #define SHIFT_BYTE (2) |
| 86 | #define SHIFT_WORD (SHIFT_BIT+SHIFT_BYTE) |
| 87 | #define SHIFT_MEGABYTE (20) |
| 88 | #define SHIFT_MEGAWORD (SHIFT_MEGABYTE-SHIFT_BYTE) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 89 | |
| 90 | /* |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 91 | * Using virtual memory can cause thrashing. This should be the largest |
| 92 | * number that is supported without a large amount of disk activity -- |
| 93 | * that would increase the run time from hours to days or weeks! |
| 94 | */ |
Darren Tucker | fc95970 | 2004-07-17 16:12:08 +1000 | [diff] [blame] | 95 | #define LARGE_MINIMUM (8UL) /* megabytes */ |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 96 | |
| 97 | /* |
| 98 | * Do not increase this number beyond the unsigned integer bit size. |
| 99 | * Due to a multiple of 4, it must be LESS than 128 (yielding 2**30 bits). |
| 100 | */ |
Darren Tucker | fc95970 | 2004-07-17 16:12:08 +1000 | [diff] [blame] | 101 | #define LARGE_MAXIMUM (127UL) /* megabytes */ |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 102 | |
| 103 | /* |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 104 | * Constant: when used with 32-bit integers, the largest sieve prime |
| 105 | * has to be less than 2**32. |
| 106 | */ |
Darren Tucker | fc95970 | 2004-07-17 16:12:08 +1000 | [diff] [blame] | 107 | #define SMALL_MAXIMUM (0xffffffffUL) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 108 | |
| 109 | /* Constant: can sieve all primes less than 2**32, as 65537**2 > 2**32-1. */ |
Darren Tucker | fc95970 | 2004-07-17 16:12:08 +1000 | [diff] [blame] | 110 | #define TINY_NUMBER (1UL<<16) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 111 | |
| 112 | /* Ensure enough bit space for testing 2*q. */ |
Damien Miller | 0dc1bef | 2005-07-17 17:22:45 +1000 | [diff] [blame] | 113 | #define TEST_MAXIMUM (1UL<<16) |
| 114 | #define TEST_MINIMUM (QSIZE_MINIMUM + 1) |
| 115 | /* real TEST_MINIMUM (1UL << (SHIFT_WORD - TEST_POWER)) */ |
| 116 | #define TEST_POWER (3) /* 2**n, n < SHIFT_WORD */ |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 117 | |
| 118 | /* bit operations on 32-bit words */ |
Damien Miller | 0dc1bef | 2005-07-17 17:22:45 +1000 | [diff] [blame] | 119 | #define BIT_CLEAR(a,n) ((a)[(n)>>SHIFT_WORD] &= ~(1L << ((n) & 31))) |
| 120 | #define BIT_SET(a,n) ((a)[(n)>>SHIFT_WORD] |= (1L << ((n) & 31))) |
| 121 | #define BIT_TEST(a,n) ((a)[(n)>>SHIFT_WORD] & (1L << ((n) & 31))) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 122 | |
| 123 | /* |
| 124 | * Prime testing defines |
| 125 | */ |
| 126 | |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 127 | /* Minimum number of primality tests to perform */ |
Damien Miller | 0dc1bef | 2005-07-17 17:22:45 +1000 | [diff] [blame] | 128 | #define TRIAL_MINIMUM (4) |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 129 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 130 | /* |
| 131 | * Sieving data (XXX - move to struct) |
| 132 | */ |
| 133 | |
| 134 | /* sieve 2**16 */ |
| 135 | static u_int32_t *TinySieve, tinybits; |
| 136 | |
| 137 | /* sieve 2**30 in 2**16 parts */ |
| 138 | static u_int32_t *SmallSieve, smallbits, smallbase; |
| 139 | |
| 140 | /* sieve relative to the initial value */ |
| 141 | static u_int32_t *LargeSieve, largewords, largetries, largenumbers; |
| 142 | static u_int32_t largebits, largememory; /* megabytes */ |
| 143 | static BIGNUM *largebase; |
| 144 | |
Damien Miller | b089fb5 | 2005-05-26 12:16:18 +1000 | [diff] [blame] | 145 | int gen_candidates(FILE *, u_int32_t, u_int32_t, BIGNUM *); |
Damien Miller | dfceafe | 2012-07-06 13:44:19 +1000 | [diff] [blame] | 146 | int prime_test(FILE *, FILE *, u_int32_t, u_int32_t, char *, unsigned long, |
| 147 | unsigned long); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 148 | |
| 149 | /* |
| 150 | * print moduli out in consistent form, |
| 151 | */ |
| 152 | static int |
| 153 | qfileout(FILE * ofile, u_int32_t otype, u_int32_t otests, u_int32_t otries, |
| 154 | u_int32_t osize, u_int32_t ogenerator, BIGNUM * omodulus) |
| 155 | { |
| 156 | struct tm *gtm; |
| 157 | time_t time_now; |
| 158 | int res; |
| 159 | |
| 160 | time(&time_now); |
| 161 | gtm = gmtime(&time_now); |
Damien Miller | 787b2ec | 2003-11-21 23:56:47 +1100 | [diff] [blame] | 162 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 163 | res = fprintf(ofile, "%04d%02d%02d%02d%02d%02d %u %u %u %u %x ", |
| 164 | gtm->tm_year + 1900, gtm->tm_mon + 1, gtm->tm_mday, |
| 165 | gtm->tm_hour, gtm->tm_min, gtm->tm_sec, |
| 166 | otype, otests, otries, osize, ogenerator); |
| 167 | |
| 168 | if (res < 0) |
| 169 | return (-1); |
| 170 | |
| 171 | if (BN_print_fp(ofile, omodulus) < 1) |
| 172 | return (-1); |
| 173 | |
| 174 | res = fprintf(ofile, "\n"); |
| 175 | fflush(ofile); |
| 176 | |
| 177 | return (res > 0 ? 0 : -1); |
| 178 | } |
| 179 | |
| 180 | |
| 181 | /* |
| 182 | ** Sieve p's and q's with small factors |
| 183 | */ |
| 184 | static void |
| 185 | sieve_large(u_int32_t s) |
| 186 | { |
| 187 | u_int32_t r, u; |
| 188 | |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 189 | debug3("sieve_large %u", s); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 190 | largetries++; |
| 191 | /* r = largebase mod s */ |
| 192 | r = BN_mod_word(largebase, s); |
| 193 | if (r == 0) |
| 194 | u = 0; /* s divides into largebase exactly */ |
| 195 | else |
| 196 | u = s - r; /* largebase+u is first entry divisible by s */ |
| 197 | |
| 198 | if (u < largebits * 2) { |
| 199 | /* |
| 200 | * The sieve omits p's and q's divisible by 2, so ensure that |
| 201 | * largebase+u is odd. Then, step through the sieve in |
| 202 | * increments of 2*s |
| 203 | */ |
| 204 | if (u & 0x1) |
| 205 | u += s; /* Make largebase+u odd, and u even */ |
| 206 | |
| 207 | /* Mark all multiples of 2*s */ |
| 208 | for (u /= 2; u < largebits; u += s) |
| 209 | BIT_SET(LargeSieve, u); |
| 210 | } |
| 211 | |
| 212 | /* r = p mod s */ |
| 213 | r = (2 * r + 1) % s; |
| 214 | if (r == 0) |
| 215 | u = 0; /* s divides p exactly */ |
| 216 | else |
| 217 | u = s - r; /* p+u is first entry divisible by s */ |
| 218 | |
| 219 | if (u < largebits * 4) { |
| 220 | /* |
| 221 | * The sieve omits p's divisible by 4, so ensure that |
| 222 | * largebase+u is not. Then, step through the sieve in |
| 223 | * increments of 4*s |
| 224 | */ |
| 225 | while (u & 0x3) { |
| 226 | if (SMALL_MAXIMUM - u < s) |
| 227 | return; |
| 228 | u += s; |
| 229 | } |
| 230 | |
| 231 | /* Mark all multiples of 4*s */ |
| 232 | for (u /= 4; u < largebits; u += s) |
| 233 | BIT_SET(LargeSieve, u); |
| 234 | } |
| 235 | } |
| 236 | |
| 237 | /* |
Darren Tucker | 47abce4 | 2004-05-02 22:09:00 +1000 | [diff] [blame] | 238 | * list candidates for Sophie-Germain primes (where q = (p-1)/2) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 239 | * to standard output. |
| 240 | * The list is checked against small known primes (less than 2**30). |
| 241 | */ |
| 242 | int |
Damien Miller | b089fb5 | 2005-05-26 12:16:18 +1000 | [diff] [blame] | 243 | gen_candidates(FILE *out, u_int32_t memory, u_int32_t power, BIGNUM *start) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 244 | { |
| 245 | BIGNUM *q; |
| 246 | u_int32_t j, r, s, t; |
| 247 | u_int32_t smallwords = TINY_NUMBER >> 6; |
| 248 | u_int32_t tinywords = TINY_NUMBER >> 6; |
| 249 | time_t time_start, time_stop; |
Damien Miller | b089fb5 | 2005-05-26 12:16:18 +1000 | [diff] [blame] | 250 | u_int32_t i; |
| 251 | int ret = 0; |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 252 | |
| 253 | largememory = memory; |
| 254 | |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 255 | if (memory != 0 && |
Damien Miller | 0dc1bef | 2005-07-17 17:22:45 +1000 | [diff] [blame] | 256 | (memory < LARGE_MINIMUM || memory > LARGE_MAXIMUM)) { |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 257 | error("Invalid memory amount (min %ld, max %ld)", |
| 258 | LARGE_MINIMUM, LARGE_MAXIMUM); |
| 259 | return (-1); |
| 260 | } |
| 261 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 262 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 263 | * Set power to the length in bits of the prime to be generated. |
| 264 | * This is changed to 1 less than the desired safe prime moduli p. |
| 265 | */ |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 266 | if (power > TEST_MAXIMUM) { |
| 267 | error("Too many bits: %u > %lu", power, TEST_MAXIMUM); |
| 268 | return (-1); |
| 269 | } else if (power < TEST_MINIMUM) { |
| 270 | error("Too few bits: %u < %u", power, TEST_MINIMUM); |
| 271 | return (-1); |
| 272 | } |
| 273 | power--; /* decrement before squaring */ |
| 274 | |
| 275 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 276 | * The density of ordinary primes is on the order of 1/bits, so the |
| 277 | * density of safe primes should be about (1/bits)**2. Set test range |
| 278 | * to something well above bits**2 to be reasonably sure (but not |
| 279 | * guaranteed) of catching at least one safe prime. |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 280 | */ |
| 281 | largewords = ((power * power) >> (SHIFT_WORD - TEST_POWER)); |
| 282 | |
| 283 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 284 | * Need idea of how much memory is available. We don't have to use all |
| 285 | * of it. |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 286 | */ |
| 287 | if (largememory > LARGE_MAXIMUM) { |
| 288 | logit("Limited memory: %u MB; limit %lu MB", |
| 289 | largememory, LARGE_MAXIMUM); |
| 290 | largememory = LARGE_MAXIMUM; |
| 291 | } |
| 292 | |
| 293 | if (largewords <= (largememory << SHIFT_MEGAWORD)) { |
| 294 | logit("Increased memory: %u MB; need %u bytes", |
| 295 | largememory, (largewords << SHIFT_BYTE)); |
| 296 | largewords = (largememory << SHIFT_MEGAWORD); |
| 297 | } else if (largememory > 0) { |
| 298 | logit("Decreased memory: %u MB; want %u bytes", |
| 299 | largememory, (largewords << SHIFT_BYTE)); |
| 300 | largewords = (largememory << SHIFT_MEGAWORD); |
| 301 | } |
| 302 | |
Damien Miller | 07d86be | 2006-03-26 14:19:21 +1100 | [diff] [blame] | 303 | TinySieve = xcalloc(tinywords, sizeof(u_int32_t)); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 304 | tinybits = tinywords << SHIFT_WORD; |
| 305 | |
Damien Miller | 07d86be | 2006-03-26 14:19:21 +1100 | [diff] [blame] | 306 | SmallSieve = xcalloc(smallwords, sizeof(u_int32_t)); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 307 | smallbits = smallwords << SHIFT_WORD; |
| 308 | |
| 309 | /* |
| 310 | * dynamically determine available memory |
| 311 | */ |
| 312 | while ((LargeSieve = calloc(largewords, sizeof(u_int32_t))) == NULL) |
| 313 | largewords -= (1L << (SHIFT_MEGAWORD - 2)); /* 1/4 MB chunks */ |
| 314 | |
| 315 | largebits = largewords << SHIFT_WORD; |
| 316 | largenumbers = largebits * 2; /* even numbers excluded */ |
| 317 | |
| 318 | /* validation check: count the number of primes tried */ |
| 319 | largetries = 0; |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 320 | if ((q = BN_new()) == NULL) |
| 321 | fatal("BN_new failed"); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 322 | |
| 323 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 324 | * Generate random starting point for subprime search, or use |
| 325 | * specified parameter. |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 326 | */ |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 327 | if ((largebase = BN_new()) == NULL) |
| 328 | fatal("BN_new failed"); |
| 329 | if (start == NULL) { |
| 330 | if (BN_rand(largebase, power, 1, 1) == 0) |
| 331 | fatal("BN_rand failed"); |
| 332 | } else { |
| 333 | if (BN_copy(largebase, start) == NULL) |
| 334 | fatal("BN_copy: failed"); |
| 335 | } |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 336 | |
| 337 | /* ensure odd */ |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 338 | if (BN_set_bit(largebase, 0) == 0) |
| 339 | fatal("BN_set_bit: failed"); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 340 | |
| 341 | time(&time_start); |
| 342 | |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 343 | logit("%.24s Sieve next %u plus %u-bit", ctime(&time_start), |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 344 | largenumbers, power); |
| 345 | debug2("start point: 0x%s", BN_bn2hex(largebase)); |
| 346 | |
| 347 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 348 | * TinySieve |
| 349 | */ |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 350 | for (i = 0; i < tinybits; i++) { |
| 351 | if (BIT_TEST(TinySieve, i)) |
| 352 | continue; /* 2*i+3 is composite */ |
| 353 | |
| 354 | /* The next tiny prime */ |
| 355 | t = 2 * i + 3; |
| 356 | |
| 357 | /* Mark all multiples of t */ |
| 358 | for (j = i + t; j < tinybits; j += t) |
| 359 | BIT_SET(TinySieve, j); |
| 360 | |
| 361 | sieve_large(t); |
| 362 | } |
| 363 | |
| 364 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 365 | * Start the small block search at the next possible prime. To avoid |
| 366 | * fencepost errors, the last pass is skipped. |
| 367 | */ |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 368 | for (smallbase = TINY_NUMBER + 3; |
Damien Miller | 0dc1bef | 2005-07-17 17:22:45 +1000 | [diff] [blame] | 369 | smallbase < (SMALL_MAXIMUM - TINY_NUMBER); |
| 370 | smallbase += TINY_NUMBER) { |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 371 | for (i = 0; i < tinybits; i++) { |
| 372 | if (BIT_TEST(TinySieve, i)) |
| 373 | continue; /* 2*i+3 is composite */ |
| 374 | |
| 375 | /* The next tiny prime */ |
| 376 | t = 2 * i + 3; |
| 377 | r = smallbase % t; |
| 378 | |
| 379 | if (r == 0) { |
| 380 | s = 0; /* t divides into smallbase exactly */ |
| 381 | } else { |
| 382 | /* smallbase+s is first entry divisible by t */ |
| 383 | s = t - r; |
| 384 | } |
| 385 | |
| 386 | /* |
| 387 | * The sieve omits even numbers, so ensure that |
| 388 | * smallbase+s is odd. Then, step through the sieve |
| 389 | * in increments of 2*t |
| 390 | */ |
| 391 | if (s & 1) |
| 392 | s += t; /* Make smallbase+s odd, and s even */ |
| 393 | |
| 394 | /* Mark all multiples of 2*t */ |
| 395 | for (s /= 2; s < smallbits; s += t) |
| 396 | BIT_SET(SmallSieve, s); |
| 397 | } |
| 398 | |
| 399 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 400 | * SmallSieve |
| 401 | */ |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 402 | for (i = 0; i < smallbits; i++) { |
| 403 | if (BIT_TEST(SmallSieve, i)) |
| 404 | continue; /* 2*i+smallbase is composite */ |
| 405 | |
| 406 | /* The next small prime */ |
| 407 | sieve_large((2 * i) + smallbase); |
| 408 | } |
| 409 | |
| 410 | memset(SmallSieve, 0, smallwords << SHIFT_BYTE); |
| 411 | } |
| 412 | |
| 413 | time(&time_stop); |
| 414 | |
| 415 | logit("%.24s Sieved with %u small primes in %ld seconds", |
| 416 | ctime(&time_stop), largetries, (long) (time_stop - time_start)); |
| 417 | |
| 418 | for (j = r = 0; j < largebits; j++) { |
| 419 | if (BIT_TEST(LargeSieve, j)) |
| 420 | continue; /* Definitely composite, skip */ |
| 421 | |
| 422 | debug2("test q = largebase+%u", 2 * j); |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 423 | if (BN_set_word(q, 2 * j) == 0) |
| 424 | fatal("BN_set_word failed"); |
| 425 | if (BN_add(q, q, largebase) == 0) |
| 426 | fatal("BN_add failed"); |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 427 | if (qfileout(out, MODULI_TYPE_SOPHIE_GERMAIN, |
| 428 | MODULI_TESTS_SIEVE, largetries, |
| 429 | (power - 1) /* MSB */, (0), q) == -1) { |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 430 | ret = -1; |
| 431 | break; |
| 432 | } |
| 433 | |
| 434 | r++; /* count q */ |
| 435 | } |
| 436 | |
| 437 | time(&time_stop); |
| 438 | |
Darren Tucker | a627d42 | 2013-06-02 07:31:17 +1000 | [diff] [blame] | 439 | free(LargeSieve); |
| 440 | free(SmallSieve); |
| 441 | free(TinySieve); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 442 | |
| 443 | logit("%.24s Found %u candidates", ctime(&time_stop), r); |
| 444 | |
| 445 | return (ret); |
| 446 | } |
| 447 | |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 448 | static void |
| 449 | write_checkpoint(char *cpfile, u_int32_t lineno) |
| 450 | { |
| 451 | FILE *fp; |
Darren Tucker | 9ee09cf | 2011-11-04 10:52:43 +1100 | [diff] [blame] | 452 | char tmp[MAXPATHLEN]; |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 453 | int r; |
| 454 | |
Darren Tucker | 9ee09cf | 2011-11-04 10:52:43 +1100 | [diff] [blame] | 455 | r = snprintf(tmp, sizeof(tmp), "%s.XXXXXXXXXX", cpfile); |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 456 | if (r == -1 || r >= MAXPATHLEN) { |
| 457 | logit("write_checkpoint: temp pathname too long"); |
| 458 | return; |
| 459 | } |
Darren Tucker | 9ee09cf | 2011-11-04 10:52:43 +1100 | [diff] [blame] | 460 | if ((r = mkstemp(tmp)) == -1) { |
| 461 | logit("mkstemp(%s): %s", tmp, strerror(errno)); |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 462 | return; |
| 463 | } |
| 464 | if ((fp = fdopen(r, "w")) == NULL) { |
| 465 | logit("write_checkpoint: fdopen: %s", strerror(errno)); |
doug@openbsd.org | 7df8818 | 2014-08-21 01:08:52 +0000 | [diff] [blame] | 466 | unlink(tmp); |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 467 | close(r); |
| 468 | return; |
| 469 | } |
| 470 | if (fprintf(fp, "%lu\n", (unsigned long)lineno) > 0 && fclose(fp) == 0 |
Darren Tucker | 9ee09cf | 2011-11-04 10:52:43 +1100 | [diff] [blame] | 471 | && rename(tmp, cpfile) == 0) |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 472 | debug3("wrote checkpoint line %lu to '%s'", |
| 473 | (unsigned long)lineno, cpfile); |
| 474 | else |
| 475 | logit("failed to write to checkpoint file '%s': %s", cpfile, |
| 476 | strerror(errno)); |
| 477 | } |
| 478 | |
| 479 | static unsigned long |
| 480 | read_checkpoint(char *cpfile) |
| 481 | { |
| 482 | FILE *fp; |
| 483 | unsigned long lineno = 0; |
| 484 | |
| 485 | if ((fp = fopen(cpfile, "r")) == NULL) |
| 486 | return 0; |
| 487 | if (fscanf(fp, "%lu\n", &lineno) < 1) |
| 488 | logit("Failed to load checkpoint from '%s'", cpfile); |
| 489 | else |
| 490 | logit("Loaded checkpoint from '%s' line %lu", cpfile, lineno); |
| 491 | fclose(fp); |
| 492 | return lineno; |
| 493 | } |
| 494 | |
Damien Miller | 4bedd40 | 2013-10-24 21:02:26 +1100 | [diff] [blame] | 495 | static unsigned long |
| 496 | count_lines(FILE *f) |
| 497 | { |
| 498 | unsigned long count = 0; |
| 499 | char lp[QLINESIZE + 1]; |
| 500 | |
| 501 | if (fseek(f, 0, SEEK_SET) != 0) { |
| 502 | debug("input file is not seekable"); |
| 503 | return ULONG_MAX; |
| 504 | } |
| 505 | while (fgets(lp, QLINESIZE + 1, f) != NULL) |
| 506 | count++; |
| 507 | rewind(f); |
| 508 | debug("input file has %lu lines", count); |
| 509 | return count; |
| 510 | } |
| 511 | |
| 512 | static char * |
| 513 | fmt_time(time_t seconds) |
| 514 | { |
| 515 | int day, hr, min; |
| 516 | static char buf[128]; |
| 517 | |
| 518 | min = (seconds / 60) % 60; |
| 519 | hr = (seconds / 60 / 60) % 24; |
| 520 | day = seconds / 60 / 60 / 24; |
| 521 | if (day > 0) |
| 522 | snprintf(buf, sizeof buf, "%dd %d:%02d", day, hr, min); |
| 523 | else |
| 524 | snprintf(buf, sizeof buf, "%d:%02d", hr, min); |
| 525 | return buf; |
| 526 | } |
| 527 | |
| 528 | static void |
| 529 | print_progress(unsigned long start_lineno, unsigned long current_lineno, |
| 530 | unsigned long end_lineno) |
| 531 | { |
| 532 | static time_t time_start, time_prev; |
| 533 | time_t time_now, elapsed; |
| 534 | unsigned long num_to_process, processed, remaining, percent, eta; |
| 535 | double time_per_line; |
| 536 | char *eta_str; |
| 537 | |
| 538 | time_now = monotime(); |
| 539 | if (time_start == 0) { |
| 540 | time_start = time_prev = time_now; |
| 541 | return; |
| 542 | } |
| 543 | /* print progress after 1m then once per 5m */ |
| 544 | if (time_now - time_prev < 5 * 60) |
| 545 | return; |
| 546 | time_prev = time_now; |
| 547 | elapsed = time_now - time_start; |
| 548 | processed = current_lineno - start_lineno; |
| 549 | remaining = end_lineno - current_lineno; |
| 550 | num_to_process = end_lineno - start_lineno; |
| 551 | time_per_line = (double)elapsed / processed; |
| 552 | /* if we don't know how many we're processing just report count+time */ |
| 553 | time(&time_now); |
| 554 | if (end_lineno == ULONG_MAX) { |
| 555 | logit("%.24s processed %lu in %s", ctime(&time_now), |
| 556 | processed, fmt_time(elapsed)); |
| 557 | return; |
| 558 | } |
| 559 | percent = 100 * processed / num_to_process; |
| 560 | eta = time_per_line * remaining; |
| 561 | eta_str = xstrdup(fmt_time(eta)); |
| 562 | logit("%.24s processed %lu of %lu (%lu%%) in %s, ETA %s", |
| 563 | ctime(&time_now), processed, num_to_process, percent, |
| 564 | fmt_time(elapsed), eta_str); |
| 565 | free(eta_str); |
| 566 | } |
| 567 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 568 | /* |
| 569 | * perform a Miller-Rabin primality test |
| 570 | * on the list of candidates |
| 571 | * (checking both q and p) |
| 572 | * The result is a list of so-call "safe" primes |
| 573 | */ |
| 574 | int |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 575 | prime_test(FILE *in, FILE *out, u_int32_t trials, u_int32_t generator_wanted, |
Damien Miller | dfceafe | 2012-07-06 13:44:19 +1000 | [diff] [blame] | 576 | char *checkpoint_file, unsigned long start_lineno, unsigned long num_lines) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 577 | { |
| 578 | BIGNUM *q, *p, *a; |
| 579 | BN_CTX *ctx; |
| 580 | char *cp, *lp; |
| 581 | u_int32_t count_in = 0, count_out = 0, count_possible = 0; |
| 582 | u_int32_t generator_known, in_tests, in_tries, in_type, in_size; |
Damien Miller | dfceafe | 2012-07-06 13:44:19 +1000 | [diff] [blame] | 583 | unsigned long last_processed = 0, end_lineno; |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 584 | time_t time_start, time_stop; |
| 585 | int res; |
| 586 | |
Darren Tucker | 770fc01 | 2004-05-13 16:24:32 +1000 | [diff] [blame] | 587 | if (trials < TRIAL_MINIMUM) { |
| 588 | error("Minimum primality trials is %d", TRIAL_MINIMUM); |
| 589 | return (-1); |
| 590 | } |
| 591 | |
Damien Miller | 4bedd40 | 2013-10-24 21:02:26 +1100 | [diff] [blame] | 592 | if (num_lines == 0) |
| 593 | end_lineno = count_lines(in); |
| 594 | else |
| 595 | end_lineno = start_lineno + num_lines; |
| 596 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 597 | time(&time_start); |
| 598 | |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 599 | if ((p = BN_new()) == NULL) |
| 600 | fatal("BN_new failed"); |
| 601 | if ((q = BN_new()) == NULL) |
| 602 | fatal("BN_new failed"); |
| 603 | if ((ctx = BN_CTX_new()) == NULL) |
| 604 | fatal("BN_CTX_new failed"); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 605 | |
| 606 | debug2("%.24s Final %u Miller-Rabin trials (%x generator)", |
| 607 | ctime(&time_start), trials, generator_wanted); |
| 608 | |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 609 | if (checkpoint_file != NULL) |
| 610 | last_processed = read_checkpoint(checkpoint_file); |
Damien Miller | 4bedd40 | 2013-10-24 21:02:26 +1100 | [diff] [blame] | 611 | last_processed = start_lineno = MAX(last_processed, start_lineno); |
| 612 | if (end_lineno == ULONG_MAX) |
| 613 | debug("process from line %lu from pipe", last_processed); |
Damien Miller | dfceafe | 2012-07-06 13:44:19 +1000 | [diff] [blame] | 614 | else |
Damien Miller | 4bedd40 | 2013-10-24 21:02:26 +1100 | [diff] [blame] | 615 | debug("process from line %lu to line %lu", last_processed, |
| 616 | end_lineno); |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 617 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 618 | res = 0; |
| 619 | lp = xmalloc(QLINESIZE + 1); |
Damien Miller | dfceafe | 2012-07-06 13:44:19 +1000 | [diff] [blame] | 620 | while (fgets(lp, QLINESIZE + 1, in) != NULL && count_in < end_lineno) { |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 621 | count_in++; |
Damien Miller | 4bedd40 | 2013-10-24 21:02:26 +1100 | [diff] [blame] | 622 | if (count_in <= last_processed) { |
| 623 | debug3("skipping line %u, before checkpoint or " |
| 624 | "specified start line", count_in); |
| 625 | continue; |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 626 | } |
Damien Miller | 4bedd40 | 2013-10-24 21:02:26 +1100 | [diff] [blame] | 627 | if (checkpoint_file != NULL) |
| 628 | write_checkpoint(checkpoint_file, count_in); |
| 629 | print_progress(start_lineno, count_in, end_lineno); |
Darren Tucker | 90aaed4 | 2007-02-25 20:38:55 +1100 | [diff] [blame] | 630 | if (strlen(lp) < 14 || *lp == '!' || *lp == '#') { |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 631 | debug2("%10u: comment or short line", count_in); |
| 632 | continue; |
| 633 | } |
| 634 | |
| 635 | /* XXX - fragile parser */ |
| 636 | /* time */ |
| 637 | cp = &lp[14]; /* (skip) */ |
| 638 | |
| 639 | /* type */ |
| 640 | in_type = strtoul(cp, &cp, 10); |
| 641 | |
| 642 | /* tests */ |
| 643 | in_tests = strtoul(cp, &cp, 10); |
| 644 | |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 645 | if (in_tests & MODULI_TESTS_COMPOSITE) { |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 646 | debug2("%10u: known composite", count_in); |
| 647 | continue; |
| 648 | } |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 649 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 650 | /* tries */ |
| 651 | in_tries = strtoul(cp, &cp, 10); |
| 652 | |
| 653 | /* size (most significant bit) */ |
| 654 | in_size = strtoul(cp, &cp, 10); |
| 655 | |
| 656 | /* generator (hex) */ |
| 657 | generator_known = strtoul(cp, &cp, 16); |
| 658 | |
| 659 | /* Skip white space */ |
| 660 | cp += strspn(cp, " "); |
| 661 | |
| 662 | /* modulus (hex) */ |
| 663 | switch (in_type) { |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 664 | case MODULI_TYPE_SOPHIE_GERMAIN: |
Darren Tucker | 47abce4 | 2004-05-02 22:09:00 +1000 | [diff] [blame] | 665 | debug2("%10u: (%u) Sophie-Germain", count_in, in_type); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 666 | a = q; |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 667 | if (BN_hex2bn(&a, cp) == 0) |
| 668 | fatal("BN_hex2bn failed"); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 669 | /* p = 2*q + 1 */ |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 670 | if (BN_lshift(p, q, 1) == 0) |
| 671 | fatal("BN_lshift failed"); |
| 672 | if (BN_add_word(p, 1) == 0) |
| 673 | fatal("BN_add_word failed"); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 674 | in_size += 1; |
| 675 | generator_known = 0; |
| 676 | break; |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 677 | case MODULI_TYPE_UNSTRUCTURED: |
| 678 | case MODULI_TYPE_SAFE: |
| 679 | case MODULI_TYPE_SCHNORR: |
| 680 | case MODULI_TYPE_STRONG: |
| 681 | case MODULI_TYPE_UNKNOWN: |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 682 | debug2("%10u: (%u)", count_in, in_type); |
| 683 | a = p; |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 684 | if (BN_hex2bn(&a, cp) == 0) |
| 685 | fatal("BN_hex2bn failed"); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 686 | /* q = (p-1) / 2 */ |
Darren Tucker | 0bc8557 | 2006-11-07 23:14:41 +1100 | [diff] [blame] | 687 | if (BN_rshift(q, p, 1) == 0) |
| 688 | fatal("BN_rshift failed"); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 689 | break; |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 690 | default: |
| 691 | debug2("Unknown prime type"); |
| 692 | break; |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 693 | } |
| 694 | |
| 695 | /* |
| 696 | * due to earlier inconsistencies in interpretation, check |
| 697 | * the proposed bit size. |
| 698 | */ |
Damien Miller | b089fb5 | 2005-05-26 12:16:18 +1000 | [diff] [blame] | 699 | if ((u_int32_t)BN_num_bits(p) != (in_size + 1)) { |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 700 | debug2("%10u: bit size %u mismatch", count_in, in_size); |
| 701 | continue; |
| 702 | } |
| 703 | if (in_size < QSIZE_MINIMUM) { |
| 704 | debug2("%10u: bit size %u too short", count_in, in_size); |
| 705 | continue; |
| 706 | } |
| 707 | |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 708 | if (in_tests & MODULI_TESTS_MILLER_RABIN) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 709 | in_tries += trials; |
| 710 | else |
| 711 | in_tries = trials; |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 712 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 713 | /* |
| 714 | * guess unknown generator |
| 715 | */ |
| 716 | if (generator_known == 0) { |
| 717 | if (BN_mod_word(p, 24) == 11) |
| 718 | generator_known = 2; |
| 719 | else if (BN_mod_word(p, 12) == 5) |
| 720 | generator_known = 3; |
| 721 | else { |
| 722 | u_int32_t r = BN_mod_word(p, 10); |
| 723 | |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 724 | if (r == 3 || r == 7) |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 725 | generator_known = 5; |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 726 | } |
| 727 | } |
| 728 | /* |
| 729 | * skip tests when desired generator doesn't match |
| 730 | */ |
| 731 | if (generator_wanted > 0 && |
| 732 | generator_wanted != generator_known) { |
| 733 | debug2("%10u: generator %d != %d", |
| 734 | count_in, generator_known, generator_wanted); |
| 735 | continue; |
| 736 | } |
| 737 | |
Darren Tucker | 5cd9d44 | 2003-12-10 00:54:38 +1100 | [diff] [blame] | 738 | /* |
| 739 | * Primes with no known generator are useless for DH, so |
| 740 | * skip those. |
| 741 | */ |
| 742 | if (generator_known == 0) { |
| 743 | debug2("%10u: no known generator", count_in); |
| 744 | continue; |
| 745 | } |
| 746 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 747 | count_possible++; |
| 748 | |
| 749 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 750 | * The (1/4)^N performance bound on Miller-Rabin is |
| 751 | * extremely pessimistic, so don't spend a lot of time |
| 752 | * really verifying that q is prime until after we know |
| 753 | * that p is also prime. A single pass will weed out the |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 754 | * vast majority of composite q's. |
| 755 | */ |
Damien Miller | 4499f4c | 2010-11-20 15:15:49 +1100 | [diff] [blame] | 756 | if (BN_is_prime_ex(q, 1, ctx, NULL) <= 0) { |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 757 | debug("%10u: q failed first possible prime test", |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 758 | count_in); |
| 759 | continue; |
| 760 | } |
Damien Miller | 787b2ec | 2003-11-21 23:56:47 +1100 | [diff] [blame] | 761 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 762 | /* |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 763 | * q is possibly prime, so go ahead and really make sure |
| 764 | * that p is prime. If it is, then we can go back and do |
| 765 | * the same for q. If p is composite, chances are that |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 766 | * will show up on the first Rabin-Miller iteration so it |
| 767 | * doesn't hurt to specify a high iteration count. |
| 768 | */ |
Damien Miller | 4499f4c | 2010-11-20 15:15:49 +1100 | [diff] [blame] | 769 | if (!BN_is_prime_ex(p, trials, ctx, NULL)) { |
Darren Tucker | 06930c7 | 2003-12-31 11:34:51 +1100 | [diff] [blame] | 770 | debug("%10u: p is not prime", count_in); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 771 | continue; |
| 772 | } |
| 773 | debug("%10u: p is almost certainly prime", count_in); |
| 774 | |
| 775 | /* recheck q more rigorously */ |
Damien Miller | 4499f4c | 2010-11-20 15:15:49 +1100 | [diff] [blame] | 776 | if (!BN_is_prime_ex(q, trials - 1, ctx, NULL)) { |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 777 | debug("%10u: q is not prime", count_in); |
| 778 | continue; |
| 779 | } |
| 780 | debug("%10u: q is almost certainly prime", count_in); |
| 781 | |
Damien Miller | 2e9cf49 | 2008-06-29 22:47:04 +1000 | [diff] [blame] | 782 | if (qfileout(out, MODULI_TYPE_SAFE, |
| 783 | in_tests | MODULI_TESTS_MILLER_RABIN, |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 784 | in_tries, in_size, generator_known, p)) { |
| 785 | res = -1; |
| 786 | break; |
| 787 | } |
| 788 | |
| 789 | count_out++; |
| 790 | } |
| 791 | |
| 792 | time(&time_stop); |
Darren Tucker | a627d42 | 2013-06-02 07:31:17 +1000 | [diff] [blame] | 793 | free(lp); |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 794 | BN_free(p); |
| 795 | BN_free(q); |
| 796 | BN_CTX_free(ctx); |
| 797 | |
Damien Miller | 390d056 | 2011-10-18 16:05:19 +1100 | [diff] [blame] | 798 | if (checkpoint_file != NULL) |
| 799 | unlink(checkpoint_file); |
| 800 | |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 801 | logit("%.24s Found %u safe primes of %u candidates in %ld seconds", |
Damien Miller | a8e06ce | 2003-11-21 23:48:55 +1100 | [diff] [blame] | 802 | ctime(&time_stop), count_out, count_possible, |
Darren Tucker | b2f9d41 | 2003-08-02 23:51:38 +1000 | [diff] [blame] | 803 | (long) (time_stop - time_start)); |
| 804 | |
| 805 | return (res); |
| 806 | } |
Damien Miller | 72ef7c1 | 2015-01-15 02:21:31 +1100 | [diff] [blame] | 807 | |
| 808 | #endif /* WITH_OPENSSL */ |