mirror of
https://github.com/rn10950/RetroZilla.git
synced 2024-11-15 04:00:12 +01:00
202 lines
5.9 KiB
C
202 lines
5.9 KiB
C
/*
|
|
* primegen.c
|
|
*
|
|
* Generates random integers which are prime with a high degree of
|
|
* probability using the Miller-Rabin probabilistic primality testing
|
|
* algorithm.
|
|
*
|
|
* Usage:
|
|
* primegen <bits> [<num>]
|
|
*
|
|
* <bits> - number of significant bits each prime should have
|
|
* <num> - number of primes to generate
|
|
*
|
|
* ***** BEGIN LICENSE BLOCK *****
|
|
* Version: MPL 1.1/GPL 2.0/LGPL 2.1
|
|
*
|
|
* The contents of this file are subject to the Mozilla Public License Version
|
|
* 1.1 (the "License"); you may not use this file except in compliance with
|
|
* the License. You may obtain a copy of the License at
|
|
* http://www.mozilla.org/MPL/
|
|
*
|
|
* Software distributed under the License is distributed on an "AS IS" basis,
|
|
* WITHOUT WARRANTY OF ANY KIND, either express or implied. See the License
|
|
* for the specific language governing rights and limitations under the
|
|
* License.
|
|
*
|
|
* The Original Code is the MPI Arbitrary Precision Integer Arithmetic library.
|
|
*
|
|
* The Initial Developer of the Original Code is
|
|
* Michael J. Fromberger.
|
|
* Portions created by the Initial Developer are Copyright (C) 1998
|
|
* the Initial Developer. All Rights Reserved.
|
|
*
|
|
* Contributor(s):
|
|
*
|
|
* Alternatively, the contents of this file may be used under the terms of
|
|
* either the GNU General Public License Version 2 or later (the "GPL"), or
|
|
* the GNU Lesser General Public License Version 2.1 or later (the "LGPL"),
|
|
* in which case the provisions of the GPL or the LGPL are applicable instead
|
|
* of those above. If you wish to allow use of your version of this file only
|
|
* under the terms of either the GPL or the LGPL, and not to allow others to
|
|
* use your version of this file under the terms of the MPL, indicate your
|
|
* decision by deleting the provisions above and replace them with the notice
|
|
* and other provisions required by the GPL or the LGPL. If you do not delete
|
|
* the provisions above, a recipient may use your version of this file under
|
|
* the terms of any one of the MPL, the GPL or the LGPL.
|
|
*
|
|
* ***** END LICENSE BLOCK ***** */
|
|
/* $Id: primegen.c,v 1.7 2004/04/27 23:04:37 gerv%gerv.net Exp $ */
|
|
|
|
#include <stdio.h>
|
|
#include <stdlib.h>
|
|
#include <string.h>
|
|
#include <limits.h>
|
|
#include <time.h>
|
|
|
|
#include "mpi.h"
|
|
#include "mplogic.h"
|
|
#include "mpprime.h"
|
|
|
|
#undef MACOS /* define if running on a Macintosh */
|
|
|
|
#ifdef MACOS
|
|
#include <console.h>
|
|
#endif
|
|
|
|
#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;
|
|
|
|
#ifdef MACOS
|
|
argc = ccommand(&argv);
|
|
#endif
|
|
|
|
/* 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 <bits> [<count> [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;
|
|
}
|