/* * primegen.c * * Generates random integers which are prime with a high degree of * probability using the Miller-Rabin probabilistic primality testing * algorithm. * * Usage: * primegen [] * * - number of significant bits each prime should have * - number of primes to generate * * This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ #include #include #include #include #include #include "mpi.h" #include "mplogic.h" #include "mpprime.h" #define NUM_TESTS 5 /* Number of Rabin-Miller iterations to test with */ #ifdef DEBUG #define FPUTC(x,y) fputc(x,y) #else #define FPUTC(x,y) #endif int main(int argc, char *argv[]) { unsigned char *raw; char *out; unsigned long nTries; int rawlen, bits, outlen, ngen, ix, jx; int g_strong = 0; mp_int testval; mp_err res; clock_t start, end; /* We'll just use the C library's rand() for now, although this won't be good enough for cryptographic purposes */ if((out = getenv("SEED")) == NULL) { srand((unsigned int)time(NULL)); } else { srand((unsigned int)atoi(out)); } if(argc < 2) { fprintf(stderr, "Usage: %s [ [strong]]\n", argv[0]); return 1; } if((bits = abs(atoi(argv[1]))) < CHAR_BIT) { fprintf(stderr, "%s: please request at least %d bits.\n", argv[0], CHAR_BIT); return 1; } /* If optional third argument is given, use that as the number of primes to generate; otherwise generate one prime only. */ if(argc < 3) { ngen = 1; } else { ngen = abs(atoi(argv[2])); } /* If fourth argument is given, and is the word "strong", we'll generate strong (Sophie Germain) primes. */ if(argc > 3 && strcmp(argv[3], "strong") == 0) g_strong = 1; /* testval - candidate being tested; nTries - number tried so far */ if ((res = mp_init(&testval)) != MP_OKAY) { fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res)); return 1; } if(g_strong) { printf("Requested %d strong prime value(s) of %d bits.\n", ngen, bits); } else { printf("Requested %d prime value(s) of %d bits.\n", ngen, bits); } rawlen = (bits / CHAR_BIT) + ((bits % CHAR_BIT) ? 1 : 0) + 1; if((raw = calloc(rawlen, sizeof(unsigned char))) == NULL) { fprintf(stderr, "%s: out of memory, sorry.\n", argv[0]); return 1; } /* This loop is one for each prime we need to generate */ for(jx = 0; jx < ngen; jx++) { raw[0] = 0; /* sign is positive */ /* Pack the initializer with random bytes */ for(ix = 1; ix < rawlen; ix++) raw[ix] = (rand() * rand()) & UCHAR_MAX; raw[1] |= 0x80; /* set high-order bit of test value */ raw[rawlen - 1] |= 1; /* set low-order bit of test value */ /* Make an mp_int out of the initializer */ mp_read_raw(&testval, (char *)raw, rawlen); /* Initialize candidate counter */ nTries = 0; start = clock(); /* time generation for this prime */ do { res = mpp_make_prime(&testval, bits, g_strong, &nTries); if (res != MP_NO) break; /* This code works whether digits are 16 or 32 bits */ res = mp_add_d(&testval, 32 * 1024, &testval); res = mp_add_d(&testval, 32 * 1024, &testval); FPUTC(',', stderr); } while (1); end = clock(); if (res != MP_YES) { break; } FPUTC('\n', stderr); puts("The following value is probably prime:"); outlen = mp_radix_size(&testval, 10); out = calloc(outlen, sizeof(unsigned char)); mp_toradix(&testval, (char *)out, 10); printf("10: %s\n", out); mp_toradix(&testval, (char *)out, 16); printf("16: %s\n\n", out); free(out); printf("Number of candidates tried: %lu\n", nTries); printf("This computation took %ld clock ticks (%.2f seconds)\n", (end - start), ((double)(end - start) / CLOCKS_PER_SEC)); FPUTC('\n', stderr); } /* end of loop to generate all requested primes */ if(res != MP_OKAY) fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res)); free(raw); mp_clear(&testval); return 0; }