2015-10-21 05:03:22 +02:00
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/*
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* primegen.c
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*
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* Generates random integers which are prime with a high degree of
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* probability using the Miller-Rabin probabilistic primality testing
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* algorithm.
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*
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* Usage:
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* primegen <bits> [<num>]
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*
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* <bits> - number of significant bits each prime should have
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* <num> - number of primes to generate
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*
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2018-05-04 16:08:28 +02:00
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* This Source Code Form is subject to the terms of the Mozilla Public
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* License, v. 2.0. If a copy of the MPL was not distributed with this
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* file, You can obtain one at http://mozilla.org/MPL/2.0/. */
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2015-10-21 05:03:22 +02:00
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <limits.h>
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#include <time.h>
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#include "mpi.h"
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#include "mplogic.h"
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#include "mpprime.h"
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#define NUM_TESTS 5 /* Number of Rabin-Miller iterations to test with */
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#ifdef DEBUG
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#define FPUTC(x,y) fputc(x,y)
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#else
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#define FPUTC(x,y)
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#endif
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int main(int argc, char *argv[])
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{
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unsigned char *raw;
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char *out;
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unsigned long nTries;
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int rawlen, bits, outlen, ngen, ix, jx;
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int g_strong = 0;
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mp_int testval;
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mp_err res;
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clock_t start, end;
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/* We'll just use the C library's rand() for now, although this
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won't be good enough for cryptographic purposes */
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if((out = getenv("SEED")) == NULL) {
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srand((unsigned int)time(NULL));
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} else {
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srand((unsigned int)atoi(out));
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}
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if(argc < 2) {
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fprintf(stderr, "Usage: %s <bits> [<count> [strong]]\n", argv[0]);
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return 1;
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}
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if((bits = abs(atoi(argv[1]))) < CHAR_BIT) {
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fprintf(stderr, "%s: please request at least %d bits.\n",
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argv[0], CHAR_BIT);
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return 1;
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}
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/* If optional third argument is given, use that as the number of
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primes to generate; otherwise generate one prime only.
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*/
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if(argc < 3) {
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ngen = 1;
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} else {
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ngen = abs(atoi(argv[2]));
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}
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/* If fourth argument is given, and is the word "strong", we'll
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generate strong (Sophie Germain) primes.
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*/
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if(argc > 3 && strcmp(argv[3], "strong") == 0)
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g_strong = 1;
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/* testval - candidate being tested; nTries - number tried so far */
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if ((res = mp_init(&testval)) != MP_OKAY) {
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fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res));
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return 1;
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}
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if(g_strong) {
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printf("Requested %d strong prime value(s) of %d bits.\n",
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ngen, bits);
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} else {
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printf("Requested %d prime value(s) of %d bits.\n", ngen, bits);
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}
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rawlen = (bits / CHAR_BIT) + ((bits % CHAR_BIT) ? 1 : 0) + 1;
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if((raw = calloc(rawlen, sizeof(unsigned char))) == NULL) {
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fprintf(stderr, "%s: out of memory, sorry.\n", argv[0]);
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return 1;
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}
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/* This loop is one for each prime we need to generate */
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for(jx = 0; jx < ngen; jx++) {
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raw[0] = 0; /* sign is positive */
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/* Pack the initializer with random bytes */
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for(ix = 1; ix < rawlen; ix++)
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raw[ix] = (rand() * rand()) & UCHAR_MAX;
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raw[1] |= 0x80; /* set high-order bit of test value */
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raw[rawlen - 1] |= 1; /* set low-order bit of test value */
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/* Make an mp_int out of the initializer */
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mp_read_raw(&testval, (char *)raw, rawlen);
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/* Initialize candidate counter */
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nTries = 0;
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start = clock(); /* time generation for this prime */
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do {
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res = mpp_make_prime(&testval, bits, g_strong, &nTries);
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if (res != MP_NO)
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break;
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/* This code works whether digits are 16 or 32 bits */
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res = mp_add_d(&testval, 32 * 1024, &testval);
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res = mp_add_d(&testval, 32 * 1024, &testval);
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FPUTC(',', stderr);
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} while (1);
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end = clock();
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if (res != MP_YES) {
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break;
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}
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FPUTC('\n', stderr);
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puts("The following value is probably prime:");
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outlen = mp_radix_size(&testval, 10);
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out = calloc(outlen, sizeof(unsigned char));
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mp_toradix(&testval, (char *)out, 10);
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printf("10: %s\n", out);
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mp_toradix(&testval, (char *)out, 16);
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printf("16: %s\n\n", out);
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free(out);
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printf("Number of candidates tried: %lu\n", nTries);
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printf("This computation took %ld clock ticks (%.2f seconds)\n",
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(end - start), ((double)(end - start) / CLOCKS_PER_SEC));
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FPUTC('\n', stderr);
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} /* end of loop to generate all requested primes */
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if(res != MP_OKAY)
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fprintf(stderr, "%s: error: %s\n", argv[0], mp_strerror(res));
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free(raw);
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mp_clear(&testval);
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return 0;
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}
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