2008-06-25 03:33:36 -04:00
|
|
|
/* spect.c -- the spectral test */
|
|
|
|
|
|
|
|
/*
|
|
|
|
Copyright 1999 Free Software Foundation, Inc.
|
|
|
|
|
|
|
|
This file is part of the GNU MP Library.
|
|
|
|
|
|
|
|
The GNU MP Library is free software; you can redistribute it and/or modify
|
|
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
|
|
the Free Software Foundation; either version 2.1 of the License, or (at your
|
|
|
|
option) any later version.
|
|
|
|
|
|
|
|
The GNU MP Library is distributed in the hope that it will be useful, but
|
|
|
|
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
|
|
|
|
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
|
|
|
|
License for more details.
|
|
|
|
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
|
|
along with the GNU MP Library; see the file COPYING.LIB. If not, write to
|
|
|
|
the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
|
|
|
|
MA 02110-1301, USA.
|
|
|
|
*/
|
|
|
|
|
|
|
|
/* T is upper dimension. Z_A is the LC multiplier, which is
|
|
|
|
relatively prime to Z_M, the LC modulus. The result is put in
|
|
|
|
rop[] with v[t] in rop[t-2]. */
|
|
|
|
|
|
|
|
/* BUGS: Due to lazy allocation scheme, maximum T is hard coded to MAXT. */
|
|
|
|
|
|
|
|
#include <stdio.h>
|
|
|
|
#include <stdlib.h>
|
|
|
|
#include <unistd.h>
|
|
|
|
#include <math.h>
|
|
|
|
#include "gmp.h"
|
|
|
|
|
|
|
|
#include "gmpstat.h"
|
|
|
|
|
|
|
|
int g_debug = 0;
|
|
|
|
|
|
|
|
int
|
|
|
|
main (int argc, char *argv[])
|
|
|
|
{
|
|
|
|
const char usage[] = "usage: spect [-d] a m n\n";
|
|
|
|
int c;
|
|
|
|
unsigned int n;
|
|
|
|
mpz_t a, m;
|
|
|
|
mpf_t res[GMP_SPECT_MAXT], res_min[GMP_SPECT_MAXT], f_tmp;
|
|
|
|
register int f;
|
|
|
|
|
|
|
|
|
|
|
|
mpz_init (a);
|
|
|
|
mpz_init (m);
|
|
|
|
for (f = 0; f < GMP_SPECT_MAXT; f++)
|
|
|
|
{
|
|
|
|
mpf_init (res[f]);
|
|
|
|
mpf_init (res_min[f]);
|
|
|
|
}
|
|
|
|
mpf_init (f_tmp);
|
|
|
|
mpf_set_ui (res_min[0], 32768); /* 2^15 */
|
|
|
|
mpf_set_ui (res_min[1], 1024); /* 2^10 */
|
|
|
|
mpf_set_ui (res_min[2], 256); /* 2^8 */
|
|
|
|
mpf_set_ui (res_min[3], 64); /* 2^6 */
|
|
|
|
mpf_set_ui (res_min[4], 32); /* 2^5 */
|
|
|
|
|
|
|
|
while ((c = getopt (argc, argv, "dh")) != -1)
|
|
|
|
switch (c)
|
|
|
|
{
|
|
|
|
case 'd': /* debug */
|
|
|
|
g_debug++;
|
|
|
|
break;
|
|
|
|
case 'h':
|
|
|
|
default:
|
|
|
|
fputs (usage, stderr);
|
|
|
|
exit (1);
|
|
|
|
}
|
|
|
|
argc -= optind;
|
|
|
|
argv += optind;
|
|
|
|
|
|
|
|
if (argc < 3)
|
|
|
|
{
|
|
|
|
fputs (usage, stderr);
|
|
|
|
exit (1);
|
|
|
|
}
|
|
|
|
|
|
|
|
mpz_set_str (a, argv[0], 0);
|
|
|
|
mpz_set_str (m, argv[1], 0);
|
|
|
|
n = (unsigned int) atoi (argv[2]);
|
|
|
|
if (n + 1 > GMP_SPECT_MAXT)
|
|
|
|
n = GMP_SPECT_MAXT + 1;
|
|
|
|
|
|
|
|
spectral_test (res, n, a, m);
|
|
|
|
|
|
|
|
for (f = 0; f < n - 1; f++)
|
|
|
|
{
|
|
|
|
/* print v */
|
|
|
|
printf ("%d: v = ", f + 2);
|
|
|
|
mpf_out_str (stdout, 10, 4, res[f]);
|
|
|
|
|
|
|
|
#ifdef PRINT_RAISED_BY_TWO_AS_WELL
|
|
|
|
printf (" (^2 = ");
|
|
|
|
mpf_mul (f_tmp, res[f], res[f]);
|
|
|
|
mpf_out_str (stdout, 10, 4, f_tmp);
|
|
|
|
printf (")");
|
|
|
|
#endif /* PRINT_RAISED_BY_TWO_AS_WELL */
|
|
|
|
|
|
|
|
/* print merit */
|
|
|
|
printf (" m = ");
|
|
|
|
merit (f_tmp, f + 2, res[f], m);
|
|
|
|
mpf_out_str (stdout, 10, 4, f_tmp);
|
|
|
|
|
|
|
|
if (mpf_cmp (res[f], res_min[f]) < 0)
|
|
|
|
printf ("\t*** v too low ***");
|
|
|
|
if (mpf_get_d (f_tmp) < .1)
|
|
|
|
printf ("\t*** merit too low ***");
|
|
|
|
|
|
|
|
puts ("");
|
|
|
|
}
|
|
|
|
|
|
|
|
mpz_clear (a);
|
|
|
|
mpz_clear (m);
|
|
|
|
for (f = 0; f < GMP_SPECT_MAXT; f++)
|
|
|
|
{
|
|
|
|
mpf_clear (res[f]);
|
|
|
|
mpf_clear (res_min[f]);
|
|
|
|
}
|
|
|
|
mpf_clear (f_tmp);
|
|
|
|
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void
|
|
|
|
debug_foo()
|
|
|
|
{
|
|
|
|
if (0)
|
|
|
|
{
|
|
|
|
mpz_dump (0);
|
|
|
|
mpf_dump (0);
|
|
|
|
}
|
|
|
|
}
|