123 lines
3.2 KiB
C
123 lines
3.2 KiB
C
|
/*=============================================================================
|
||
|
|
|
||
|
|
This file is part of FLINT.
|
||
|
|
|
||
|
|
FLINT is free software; you can redistribute it and/or modify
|
||
|
|
it under the terms of the GNU General Public License as published by
|
||
|
|
the Free Software Foundation; either version 2 of the License, or
|
||
|
|
(at your option) any later version.
|
||
|
|
|
||
|
|
FLINT 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 General Public License for more details.
|
||
|
|
|
||
|
|
You should have received a copy of the GNU General Public License
|
||
|
|
along with FLINT; if not, write to the Free Software
|
||
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
||
|
|
|
||
|
|
=============================================================================*/
|
||
|
|
/******************************************************************************
|
||
|
|
|
||
|
|
Copyright (C) 2009 William Hart
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include <stdio.h>
|
||
|
|
#include <stdlib.h>
|
||
|
|
#include <gmp.h>
|
||
|
|
#include "flint.h"
|
||
|
|
#include "ulong_extras.h"
|
||
|
|
|
||
|
|
int main(void)
|
||
|
|
{
|
||
|
|
int i, j, result;
|
||
|
|
ulong count = UWORD(0);
|
||
|
|
FLINT_TEST_INIT(state);
|
||
|
|
|
||
|
|
flint_printf("is_strong_probabprime_precomp....");
|
||
|
|
fflush(stdout);
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
for (i = 0; i < 100 * flint_test_multiplier(); i++) /* Test that primes pass the test */
|
||
|
|
{
|
||
|
|
mp_limb_t a, d, norm;
|
||
|
|
mpz_t d_m;
|
||
|
|
double dpre;
|
||
|
|
mp_limb_t bits = n_randint(state, FLINT_D_BITS-1) + 2;
|
||
|
|
|
||
|
|
mpz_init(d_m);
|
||
|
|
|
||
|
|
do
|
||
|
|
{
|
||
|
|
d = n_randbits(state, bits) | 1;
|
||
|
|
flint_mpz_set_ui(d_m, d);
|
||
|
|
mpz_nextprime(d_m, d_m);
|
||
|
|
d = flint_mpz_get_ui(d_m);
|
||
|
|
} while (FLINT_BIT_COUNT(d) > FLINT_D_BITS);
|
||
|
|
if (d == UWORD(2)) d++;
|
||
|
|
|
||
|
|
for (j = 0; j < 100; j++)
|
||
|
|
{
|
||
|
|
do a = n_randint(state, d);
|
||
|
|
while (a == UWORD(0));
|
||
|
|
|
||
|
|
dpre = n_precompute_inverse(d);
|
||
|
|
count_trailing_zeros(norm, d - 1);
|
||
|
|
result = n_is_strong_probabprime_precomp(d, dpre, a, (d - 1)>>norm);
|
||
|
|
|
||
|
|
if (!result)
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n");
|
||
|
|
flint_printf("a = %wu, d = %wu\n", a, d);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
mpz_clear(d_m);
|
||
|
|
}
|
||
|
|
|
||
|
|
for (i = 0; i < 100 * flint_test_multiplier(); i++) /* Test that not too many composites pass */
|
||
|
|
{
|
||
|
|
mp_limb_t a, d, norm;
|
||
|
|
mpz_t d_m;
|
||
|
|
double dpre;
|
||
|
|
mp_limb_t bits = n_randint(state, FLINT_D_BITS-3) + 4;
|
||
|
|
|
||
|
|
mpz_init(d_m);
|
||
|
|
|
||
|
|
do
|
||
|
|
{
|
||
|
|
d = n_randbits(state, bits) | 1;
|
||
|
|
flint_mpz_set_ui(d_m, d);
|
||
|
|
} while (mpz_probab_prime_p(d_m, 12));
|
||
|
|
|
||
|
|
for (j = 0; j < 100; j++)
|
||
|
|
{
|
||
|
|
do a = n_randint(state, d);
|
||
|
|
while (a == UWORD(0));
|
||
|
|
|
||
|
|
dpre = n_precompute_inverse(d);
|
||
|
|
count_trailing_zeros(norm, d - 1);
|
||
|
|
result = !n_is_strong_probabprime_precomp(d, dpre, a, (d - 1)>>norm);
|
||
|
|
|
||
|
|
if (!result) count++;
|
||
|
|
}
|
||
|
|
|
||
|
|
mpz_clear(d_m);
|
||
|
|
}
|
||
|
|
|
||
|
|
if (count > 220 * flint_test_multiplier())
|
||
|
|
{
|
||
|
|
flint_printf("FAIL:\n");
|
||
|
|
flint_printf("count = %wu\n", count);
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
FLINT_TEST_CLEANUP(state);
|
||
|
|
|
||
|
|
flint_printf("PASS\n");
|
||
|
|
return 0;
|
||
|
|
}
|