1.1 --- /dev/null Thu Jan 01 00:00:00 1970 +0000 1.2 +++ b/security/nss/lib/freebl/mpi/utils/primegen.c Wed Dec 31 06:09:35 2014 +0100 1.3 @@ -0,0 +1,158 @@ 1.4 +/* 1.5 + * primegen.c 1.6 + * 1.7 + * Generates random integers which are prime with a high degree of 1.8 + * probability using the Miller-Rabin probabilistic primality testing 1.9 + * algorithm. 1.10 + * 1.11 + * Usage: 1.12 + * primegen <bits> [<num>] 1.13 + * 1.14 + * <bits> - number of significant bits each prime should have 1.15 + * <num> - number of primes to generate 1.16 + * 1.17 + * This Source Code Form is subject to the terms of the Mozilla Public 1.18 + * License, v. 2.0. If a copy of the MPL was not distributed with this 1.19 + * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ 1.20 + 1.21 +#include <stdio.h> 1.22 +#include <stdlib.h> 1.23 +#include <string.h> 1.24 +#include <limits.h> 1.25 +#include <time.h> 1.26 + 1.27 +#include "mpi.h" 1.28 +#include "mplogic.h" 1.29 +#include "mpprime.h" 1.30 + 1.31 +#define NUM_TESTS 5 /* Number of Rabin-Miller iterations to test with */ 1.32 + 1.33 +#ifdef DEBUG 1.34 +#define FPUTC(x,y) fputc(x,y) 1.35 +#else 1.36 +#define FPUTC(x,y) 1.37 +#endif 1.38 + 1.39 +int main(int argc, char *argv[]) 1.40 +{ 1.41 + unsigned char *raw; 1.42 + char *out; 1.43 + unsigned long nTries; 1.44 + int rawlen, bits, outlen, ngen, ix, jx; 1.45 + int g_strong = 0; 1.46 + mp_int testval; 1.47 + mp_err res; 1.48 + clock_t start, end; 1.49 + 1.50 + /* We'll just use the C library's rand() for now, although this 1.51 + won't be good enough for cryptographic purposes */ 1.52 + if((out = getenv("SEED")) == NULL) { 1.53 + srand((unsigned int)time(NULL)); 1.54 + } else { 1.55 + srand((unsigned int)atoi(out)); 1.56 + } 1.57 + 1.58 + if(argc < 2) { 1.59 + fprintf(stderr, "Usage: %s <bits> [<count> [strong]]\n", argv[0]); 1.60 + return 1; 1.61 + } 1.62 + 1.63 + if((bits = abs(atoi(argv[1]))) < CHAR_BIT) { 1.64 + fprintf(stderr, "%s: please request at least %d bits.\n", 1.65 + argv[0], CHAR_BIT); 1.66 + return 1; 1.67 + } 1.68 + 1.69 + /* If optional third argument is given, use that as the number of 1.70 + primes to generate; otherwise generate one prime only. 1.71 + */ 1.72 + if(argc < 3) { 1.73 + ngen = 1; 1.74 + } else { 1.75 + ngen = abs(atoi(argv[2])); 1.76 + } 1.77 + 1.78 + /* If fourth argument is given, and is the word "strong", we'll 1.79 + generate strong (Sophie Germain) primes. 1.80 + */ 1.81 + if(argc > 3 && strcmp(argv[3], "strong") == 0) 1.82 + g_strong = 1; 1.83 + 1.84 + /* testval - candidate being tested; nTries - number tried so far */ 1.85 + if ((res = mp_init(&testval)) != MP_OKAY) { 1.86 + fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res)); 1.87 + return 1; 1.88 + } 1.89 + 1.90 + if(g_strong) { 1.91 + printf("Requested %d strong prime value(s) of %d bits.\n", 1.92 + ngen, bits); 1.93 + } else { 1.94 + printf("Requested %d prime value(s) of %d bits.\n", ngen, bits); 1.95 + } 1.96 + 1.97 + rawlen = (bits / CHAR_BIT) + ((bits % CHAR_BIT) ? 1 : 0) + 1; 1.98 + 1.99 + if((raw = calloc(rawlen, sizeof(unsigned char))) == NULL) { 1.100 + fprintf(stderr, "%s: out of memory, sorry.\n", argv[0]); 1.101 + return 1; 1.102 + } 1.103 + 1.104 + /* This loop is one for each prime we need to generate */ 1.105 + for(jx = 0; jx < ngen; jx++) { 1.106 + 1.107 + raw[0] = 0; /* sign is positive */ 1.108 + 1.109 + /* Pack the initializer with random bytes */ 1.110 + for(ix = 1; ix < rawlen; ix++) 1.111 + raw[ix] = (rand() * rand()) & UCHAR_MAX; 1.112 + 1.113 + raw[1] |= 0x80; /* set high-order bit of test value */ 1.114 + raw[rawlen - 1] |= 1; /* set low-order bit of test value */ 1.115 + 1.116 + /* Make an mp_int out of the initializer */ 1.117 + mp_read_raw(&testval, (char *)raw, rawlen); 1.118 + 1.119 + /* Initialize candidate counter */ 1.120 + nTries = 0; 1.121 + 1.122 + start = clock(); /* time generation for this prime */ 1.123 + do { 1.124 + res = mpp_make_prime(&testval, bits, g_strong, &nTries); 1.125 + if (res != MP_NO) 1.126 + break; 1.127 + /* This code works whether digits are 16 or 32 bits */ 1.128 + res = mp_add_d(&testval, 32 * 1024, &testval); 1.129 + res = mp_add_d(&testval, 32 * 1024, &testval); 1.130 + FPUTC(',', stderr); 1.131 + } while (1); 1.132 + end = clock(); 1.133 + 1.134 + if (res != MP_YES) { 1.135 + break; 1.136 + } 1.137 + FPUTC('\n', stderr); 1.138 + puts("The following value is probably prime:"); 1.139 + outlen = mp_radix_size(&testval, 10); 1.140 + out = calloc(outlen, sizeof(unsigned char)); 1.141 + mp_toradix(&testval, (char *)out, 10); 1.142 + printf("10: %s\n", out); 1.143 + mp_toradix(&testval, (char *)out, 16); 1.144 + printf("16: %s\n\n", out); 1.145 + free(out); 1.146 + 1.147 + printf("Number of candidates tried: %lu\n", nTries); 1.148 + printf("This computation took %ld clock ticks (%.2f seconds)\n", 1.149 + (end - start), ((double)(end - start) / CLOCKS_PER_SEC)); 1.150 + 1.151 + FPUTC('\n', stderr); 1.152 + } /* end of loop to generate all requested primes */ 1.153 + 1.154 + if(res != MP_OKAY) 1.155 + fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res)); 1.156 + 1.157 + free(raw); 1.158 + mp_clear(&testval); 1.159 + 1.160 + return 0; 1.161 +}