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1 /* |
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2 * primegen.c |
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3 * |
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4 * Generates random integers which are prime with a high degree of |
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5 * probability using the Miller-Rabin probabilistic primality testing |
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6 * algorithm. |
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7 * |
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8 * Usage: |
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9 * primegen <bits> [<num>] |
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10 * |
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11 * <bits> - number of significant bits each prime should have |
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12 * <num> - number of primes to generate |
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13 * |
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14 * This Source Code Form is subject to the terms of the Mozilla Public |
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15 * License, v. 2.0. If a copy of the MPL was not distributed with this |
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16 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ |
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17 |
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18 #include <stdio.h> |
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19 #include <stdlib.h> |
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20 #include <string.h> |
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21 #include <limits.h> |
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22 #include <time.h> |
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23 |
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24 #include "mpi.h" |
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25 #include "mplogic.h" |
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26 #include "mpprime.h" |
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27 |
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28 #define NUM_TESTS 5 /* Number of Rabin-Miller iterations to test with */ |
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29 |
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30 #ifdef DEBUG |
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31 #define FPUTC(x,y) fputc(x,y) |
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32 #else |
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33 #define FPUTC(x,y) |
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34 #endif |
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35 |
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36 int main(int argc, char *argv[]) |
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37 { |
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38 unsigned char *raw; |
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39 char *out; |
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40 unsigned long nTries; |
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41 int rawlen, bits, outlen, ngen, ix, jx; |
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42 int g_strong = 0; |
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43 mp_int testval; |
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44 mp_err res; |
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45 clock_t start, end; |
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46 |
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47 /* We'll just use the C library's rand() for now, although this |
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48 won't be good enough for cryptographic purposes */ |
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49 if((out = getenv("SEED")) == NULL) { |
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50 srand((unsigned int)time(NULL)); |
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51 } else { |
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52 srand((unsigned int)atoi(out)); |
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53 } |
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54 |
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55 if(argc < 2) { |
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56 fprintf(stderr, "Usage: %s <bits> [<count> [strong]]\n", argv[0]); |
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57 return 1; |
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58 } |
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59 |
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60 if((bits = abs(atoi(argv[1]))) < CHAR_BIT) { |
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61 fprintf(stderr, "%s: please request at least %d bits.\n", |
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62 argv[0], CHAR_BIT); |
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63 return 1; |
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64 } |
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65 |
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66 /* If optional third argument is given, use that as the number of |
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67 primes to generate; otherwise generate one prime only. |
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68 */ |
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69 if(argc < 3) { |
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70 ngen = 1; |
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71 } else { |
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72 ngen = abs(atoi(argv[2])); |
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73 } |
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74 |
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75 /* If fourth argument is given, and is the word "strong", we'll |
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76 generate strong (Sophie Germain) primes. |
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77 */ |
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78 if(argc > 3 && strcmp(argv[3], "strong") == 0) |
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79 g_strong = 1; |
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80 |
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81 /* testval - candidate being tested; nTries - number tried so far */ |
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82 if ((res = mp_init(&testval)) != MP_OKAY) { |
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83 fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res)); |
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84 return 1; |
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85 } |
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86 |
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87 if(g_strong) { |
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88 printf("Requested %d strong prime value(s) of %d bits.\n", |
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89 ngen, bits); |
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90 } else { |
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91 printf("Requested %d prime value(s) of %d bits.\n", ngen, bits); |
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92 } |
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93 |
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94 rawlen = (bits / CHAR_BIT) + ((bits % CHAR_BIT) ? 1 : 0) + 1; |
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95 |
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96 if((raw = calloc(rawlen, sizeof(unsigned char))) == NULL) { |
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97 fprintf(stderr, "%s: out of memory, sorry.\n", argv[0]); |
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98 return 1; |
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99 } |
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100 |
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101 /* This loop is one for each prime we need to generate */ |
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102 for(jx = 0; jx < ngen; jx++) { |
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103 |
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104 raw[0] = 0; /* sign is positive */ |
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105 |
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106 /* Pack the initializer with random bytes */ |
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107 for(ix = 1; ix < rawlen; ix++) |
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108 raw[ix] = (rand() * rand()) & UCHAR_MAX; |
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109 |
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110 raw[1] |= 0x80; /* set high-order bit of test value */ |
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111 raw[rawlen - 1] |= 1; /* set low-order bit of test value */ |
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112 |
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113 /* Make an mp_int out of the initializer */ |
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114 mp_read_raw(&testval, (char *)raw, rawlen); |
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115 |
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116 /* Initialize candidate counter */ |
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117 nTries = 0; |
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118 |
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119 start = clock(); /* time generation for this prime */ |
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120 do { |
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121 res = mpp_make_prime(&testval, bits, g_strong, &nTries); |
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122 if (res != MP_NO) |
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123 break; |
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124 /* This code works whether digits are 16 or 32 bits */ |
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125 res = mp_add_d(&testval, 32 * 1024, &testval); |
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126 res = mp_add_d(&testval, 32 * 1024, &testval); |
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127 FPUTC(',', stderr); |
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128 } while (1); |
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129 end = clock(); |
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130 |
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131 if (res != MP_YES) { |
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132 break; |
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133 } |
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134 FPUTC('\n', stderr); |
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135 puts("The following value is probably prime:"); |
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136 outlen = mp_radix_size(&testval, 10); |
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137 out = calloc(outlen, sizeof(unsigned char)); |
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138 mp_toradix(&testval, (char *)out, 10); |
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139 printf("10: %s\n", out); |
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140 mp_toradix(&testval, (char *)out, 16); |
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141 printf("16: %s\n\n", out); |
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142 free(out); |
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143 |
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144 printf("Number of candidates tried: %lu\n", nTries); |
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145 printf("This computation took %ld clock ticks (%.2f seconds)\n", |
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146 (end - start), ((double)(end - start) / CLOCKS_PER_SEC)); |
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147 |
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148 FPUTC('\n', stderr); |
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149 } /* end of loop to generate all requested primes */ |
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150 |
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151 if(res != MP_OKAY) |
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152 fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res)); |
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153 |
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154 free(raw); |
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155 mp_clear(&testval); |
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156 |
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157 return 0; |
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158 } |