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/*
* Copyright 1996 Thierry Bousch
* Licensed under the Gnu Public License, Version 2
*
* $Id: main.c,v 2.6 1996/09/15 16:08:32 bousch Exp $
*
* Factorization of big integers. Main module.
*/
#include <assert.h>
#include <ctype.h>
#include <getopt.h>
#include <pwd.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <sys/types.h>
#include <sys/stat.h>
#include <fcntl.h>
#include <time.h>
#include <unistd.h>
#include "saml.h"
#include "saml-parse.h"
#include "saml-util.h"
#include "factorint.h"
#define VERSION "0.50"
#define DEF_PP_TESTS 5
#define DEF_SM_DIV 5000
char *progname;
int quiet;
int pptests = DEF_PP_TESTS;
int mpqs_primes = 0;
int mpqs_exponent = 0;
int mpqs_width = 0;
const char *mpqs_debug_file = NULL;
static int tloops = DEF_SM_DIV;
static int max_pollard = -2;
static int test_only = 0;
static int one_prime = 0;
static int dont_fork = 0;
static const char *mailaddr, *username;
static char mailfile[] = "/tmp/factorsXXXXXX";
static const char Copyright[] = "\
Factorint "VERSION" (compiled "__DATE__") Copyright (C) 1996 Thierry Bousch
This program is FREE SOFTWARE, with absolutely NO WARRANTY.
You are welcome to redistribute it under certain conditions;
read the file \"COPYING\" for details.
";
static const char Usage[] = "\
Usage: %s [options] NUMBERS...
Options:
-t, --test-prime Only print prime / composite
-1, --one-factor Only print one prime factor
-m, --mail Background mode, mail the result to me
--mailto ADDRESS or to someone else.
-n, --nice NUM Be nice to other processes
-q, --quiet Quiet mode, without the rotating cursor
--small-divisors NUM Number of small divisors to try
--pseudo-prime-tests NUM Number of pseudo-primality tests
--pollard-loops NUM Number of loops before giving up
--mpqs-primes NUM The factor base size in MPQS
--mpqs-exponent NUM Set the tolerance exponent to NUM/1000
--mpqs-interval NUM Length of the sieve interval (2*M)
--mpqs-debug FILENAME Write debugging information into this file
--help Display this menu, and exit
--version Display the version number, and exit
";
static const char sh_opt[] = "n:mqt1";
static const struct option lg_opt[] = {
{ "test-primality", 0, NULL, 't' },
{ "test-prime", 0, NULL, 't' },
{ "test", 0, NULL, 't' },
{ "one-factor", 0, NULL, '1' },
{ "one", 0, NULL, '1' },
{ "mail", 0, NULL, 'm' },
{ "nice", 1, NULL, 'n' },
{ "quiet", 0, NULL, 'q' },
{ "silent", 0, NULL, 'q' },
{ "small-divisors", 1, NULL, 160 },
{ "pseudo-prime-tests", 1, NULL, 161 },
{ "pseudo-prime", 1, NULL, 161 },
{ "pp-tests", 1, NULL, 161 },
{ "pollard-maxtries", 1, NULL, 162 },
{ "pollard-loops", 1, NULL, 162 },
{ "mailto", 1, NULL, 170 },
{ "mail-to", 1, NULL, 170 },
{ "dont-fork", 0, NULL, 171 },
{ "help", 0, NULL, 172 },
{ "usage", 0, NULL, 172 },
{ "version", 0, NULL, 173 },
{ "copyright", 0, NULL, 173 },
{ "warranty", 0, NULL, 173 },
{ "mpqs-size", 1, NULL, 183 },
{ "mpqs-primes", 1, NULL, 183 },
{ "mpqs-exponent", 1, NULL, 184 },
{ "mpqs-interval", 1, NULL, 185 },
{ "mpqs-width", 1, NULL, 185 },
{ "mpqs-length", 1, NULL, 185 },
{ "mpqs-debug", 1, NULL, 186 },
{ "mpqs-debug-file", 1, NULL, 186 },
{ NULL, 0, NULL, 0 }
};
static void divide_greatest_power (mref_t N, mref_t prime)
{
int valuation;
mref_t tmp1, tmp2;
tmp1 = mref_new();
tmp2 = mref_new();
valuation = 0;
for(;;) {
mref_div(tmp1, N, prime);
mref_mul(tmp2, tmp1, prime);
if (mref_differ(tmp2, N))
break;
mref_copy(N, tmp1);
/*
* If the --one-prime option is given, we don't need to
* compute the p-adic valuation. Just display p.
*/
if (++valuation && one_prime)
break;
}
fputs(mref_string(prime), stdout);
if (valuation != 1)
printf("^%d", valuation);
mref_free(tmp1);
mref_free(tmp2);
}
static int find_factor (mref_t result, mref_t N)
{
if (find_factor_pollard(result, N, max_pollard))
return 1;
return find_factor_mpqs(result, N);
}
static void factorize (mref_t N)
{
int ret, position = 0, maxloops = tloops;
mref_t D, left, tmp, One, Two;
D = mref_new(); left = mref_new(); tmp = mref_new();
One = mref_new(); Two = mref_new();
mref_build(One, ST_INTEGER, "1");
mref_build(Two, ST_INTEGER, "2");
mref_copy(left, N);
mref_copy(D, Two);
if (!mref_lessthan(One,N)) {
/* If the number is 0 or 1, print it here */
printf("%s", mref_string(N));
}
while (mref_lessthan(One,left)) {
while(1) {
if (maxloops == 0) {
/* We haven't found any divisor */
mref_copy(D, One);
break;
}
--maxloops;
mref_div(tmp, left, D);
if (mref_lessthan(tmp, D)) {
/* The remaining number is prime */
mref_copy(D, left);
break;
}
mref_mul(tmp, tmp, D);
if (!mref_differ(tmp, left)) {
/* We have found a divisor */
break;
}
/* Bump the divisor */
if (!mref_differ(D, Two))
mref_add(D, D, One);
else
mref_add(D, D, Two);
}
if (mref_differ(D, One)) {
/* We have found a divisor, or left is prime */
if (position++)
putchar('.');
divide_greatest_power(left, D);
if (one_prime)
break;
} else if (is_pseudo_prime(left)) {
/* Assume left is prime */
if (position++)
putchar('.');
fputs(mref_string(left), stdout);
break;
} else {
/* Composite, but without small divisors */
ret = find_factor(D, left);
assert(ret != 0);
assert(is_pseudo_prime(D));
if (position++)
putchar('.');
divide_greatest_power(left, D);
if (one_prime)
break;
}
fflush(stdout);
}
putchar('\n'); fflush(stdout);
mref_free(D); mref_free(left); mref_free(tmp);
mref_free(One); mref_free(Two);
}
static void goto_background (void)
{
int pid = (dont_fork ? 0 : fork());
switch(pid) {
case -1:
/* Out of processes */
perror("fork");
mailaddr = NULL;
break;
case 0:
/* The child goes on */
close(0); close(1); close(2);
setsid();
nice(10);
mktemp(mailfile);
quiet = 1;
break;
default:
/* But the parent exits */
if (!quiet)
fprintf(stderr,"Results will be mailed to %s\n",mailaddr);
exit(0);
}
}
static void process_number (const char *number)
{
mref_t N = mref_new();
mref_build(N, ST_INTEGER, "0");
saml_init_lexer_mem(number, strlen(number));
saml_parse(N, N);
if (mref_type(N) == ST_VOID) {
fprintf(stderr, "%s: malformed number `%s'\n", progname,
number);
goto free_N;
}
if (mref_isneg(N)) {
/* Only print the sign for complete factorizations */
if (!test_only && !one_prime)
putchar('-');
/* But make the number positive in all cases */
mref_negate(N, N);
}
if (test_only) {
int ret = is_pseudo_prime(N);
puts(ret ? "prime" : "composite");
fflush(stdout);
} else
factorize(N);
free_N:
mref_free(N);
}
static void mail_number (const char *number)
{
int fd;
time_t now;
if (mailaddr == NULL) {
/* No redirection, fallback to process_number() */
process_number(number);
return;
}
fd = open(mailfile, O_RDWR|O_CREAT|O_TRUNC|O_APPEND, 0666);
assert(fd == 0);
unlink(mailfile);
dup2(fd,1); dup2(fd,2); time(&now);
printf("From: %s\nTo: %s\n", username, mailaddr);
printf("X-Comment: mail sent by Factorint %s\n", VERSION);
printf("X-Factorization-Started-At: %s", ctime(&now));
if (strlen(number) <= 50) {
/* We can put the number in the subject */
printf("Subject: factors of %s\n\n", number);
}
else {
/* The number is huge */
printf("Subject: Your number has been factorized\n\n"
"Number: %s\n\n", number);
}
fflush(stdout);
process_number(number);
fflush(stdout); fflush(stderr);
close(1); close(2);
lseek(0, 0, SEEK_SET); /* rewind stdin */
system("/usr/lib/sendmail -oi -om -oem -t");
close(0);
}
static void get_username (void)
{
struct passwd *user;
/* Get the login name corresponding to our real UID */
user = getpwuid(getuid());
username = user? user->pw_name : "nobody";
}
int main (int argc, char **argv)
{
int c;
gr_string *grs;
progname = argv[0];
quiet = !isatty(1);
saml_init();
saml_error_handler = saml_silent_ehandler;
while ((c = getopt_long(argc,argv,sh_opt,lg_opt,NULL)) != EOF)
switch(c) {
case '1':
/* Just search one factor */
one_prime = 1;
break;
case 'n':
/* Renice the process */
if (nice(atoi(optarg)))
perror("nice");
break;
case 'q':
/* Quiet mode */
quiet = 1;
break;
case 't':
/* Just test primality, don't factorize */
test_only = 1;
break;
case 160:
/* Small divisors */
tloops = atoi(optarg);
break;
case 161:
/* Pseudo-primality tests */
pptests = atoi(optarg);
break;
case 162:
/* Maximum number of loops in Pollard's method */
max_pollard = atoi(optarg);
break;
case 'm':
/* Mail to me */
get_username();
mailaddr = username;
break;
case 170:
/* Mail to somebody else */
get_username();
mailaddr = optarg;
break;
case 171:
/* Don't fork */
dont_fork = 1;
break;
case 172:
/* Help */
printf(Usage, progname);
return 0;
case 173:
/* Version number */
fputs(Copyright, stdout);
return 0;
case 183:
/* The number of primes in MPQS */
mpqs_primes = atoi(optarg);
break;
case 184:
/* The tolerance exponent T in MPQS (scaled) */
mpqs_exponent = atoi(optarg);
break;
case 185:
/* The length 2*M of the sieve interval */
mpqs_width = atoi(optarg);
break;
case 186:
/* Output file for debugging */
mpqs_debug_file = optarg;
break;
default:
/* Invalid option */
fprintf(stderr, Usage, progname);
return 1;
}
/*
* If there are remaining elements on the command line, we
* interpret them as the numbers to factorise. Otherwise, we
* read numbers from standard input.
*/
if (optind < argc) {
if (mailaddr)
goto_background();
for ( ; optind < argc; optind++)
mail_number(argv[optind]);
} else {
grs = new_gr_string(0);
while ((c = getchar()) != EOF) {
if (isspace(c))
continue;
do {
grs = grs_append1(grs, c);
c = getchar();
} while (c != EOF && !isspace(c));
grs = grs_append1(grs, '\0');
process_number(grs->s);
grs->len = 0;
}
}
return 0;
}
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