110 lines
2.9 KiB
C
110 lines
2.9 KiB
C
/*=============================================================================
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This file is part of FLINT.
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FLINT is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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FLINT is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with FLINT; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2009 William Hart
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <gmp.h>
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#include "flint.h"
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#include "ulong_extras.h"
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int main(void)
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{
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int i, result;
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ulong count = UWORD(0);
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mp_limb_t d, j;
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mpz_t d_m;
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FLINT_TEST_INIT(state);
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flint_printf("is_probabprime_fermat....");
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fflush(stdout);
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for (i = 0; i < 10000 * flint_test_multiplier(); i++) /* Test that primes pass the test */
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{
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mpz_init(d_m);
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do
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{
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d = n_randtest_not_zero(state);
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if (d == UWORD(1)) d++;
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flint_mpz_set_ui(d_m, d);
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mpz_nextprime(d_m, d_m);
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d = flint_mpz_get_ui(d_m);
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} while (mpz_size(d_m) > 1);
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do
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{
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j = n_randtest(state) % d;
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if ((j == WORD(1)) && (d != UWORD(2))) j++;
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} while (n_gcd(d, j) != UWORD(1));
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result = n_is_probabprime_fermat(d, j);
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("d = %wu is declared composite\n", d);
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abort();
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}
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mpz_clear(d_m);
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}
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for (i = 0; i < 10000 * flint_test_multiplier(); i++) /* Test that not too many composites pass */
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{
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mpz_init(d_m);
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do
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{
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d = n_randtest_bits(state, n_randint(state, FLINT_BITS) + 1);
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if (d < UWORD(2)) d = 2;
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flint_mpz_set_ui(d_m, d);
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} while (mpz_probab_prime_p(d_m, 12));
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do
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{
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j = n_randtest(state) % d;
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if ((j == WORD(1)) && (d != UWORD(2))) j++;
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} while (n_gcd(d, j) != UWORD(1));
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if (n_is_probabprime_fermat(d, j)) count++;
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mpz_clear(d_m);
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}
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result = (count < 200 * flint_test_multiplier());
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if (!result)
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{
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flint_printf("FAIL:\n");
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flint_printf("%wu composites declared prime\n", count);
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abort();
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}
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FLINT_TEST_CLEANUP(state);
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flint_printf("PASS\n");
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return 0;
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}
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