129 lines
3.9 KiB
C
129 lines
3.9 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) 2011 Sebastian Pancratz
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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 "nmod_poly.h"
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#include "ulong_extras.h"
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int
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main(void)
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{
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int i, result;
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FLINT_TEST_INIT(state);
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flint_printf("resultant_euclidean....");
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fflush(stdout);
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/* Check res(f, g) == (-1)^(deg f deg g) res(g, f) */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t f, g;
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mp_limb_t x, y;
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mp_limb_t n;
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do n = n_randtest_not_zero(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(f, n);
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nmod_poly_init(g, n);
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nmod_poly_randtest(f, state, n_randint(state, 200));
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nmod_poly_randtest(g, state, n_randint(state, 200));
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x = nmod_poly_resultant_euclidean(f, g);
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y = nmod_poly_resultant_euclidean(g, f);
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if ((nmod_poly_degree(f) * nmod_poly_degree(g)) % 2)
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y = nmod_neg(y, f->mod);
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result = (x == y);
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if (!result)
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{
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flint_printf("FAIL (res(f, g) == (-1)^(deg f deg g) res(g, f)):\n");
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nmod_poly_print(f), flint_printf("\n\n");
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nmod_poly_print(g), flint_printf("\n\n");
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flint_printf("x = %wu\n", x);
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flint_printf("y = %wu\n", y);
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flint_printf("n = %wu\n", n);
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abort();
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}
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nmod_poly_clear(f);
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nmod_poly_clear(g);
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}
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/* Check res(f h, g) == res(f, g) res(h, g) */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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nmod_poly_t f, g, h;
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mp_limb_t x, y, z;
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mp_limb_t n;
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do n = n_randtest_not_zero(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(f, n);
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nmod_poly_init(g, n);
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nmod_poly_init(h, n);
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nmod_poly_randtest(f, state, n_randint(state, 200));
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nmod_poly_randtest(g, state, n_randint(state, 200));
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nmod_poly_randtest(h, state, n_randint(state, 200));
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y = nmod_poly_resultant_euclidean(f, g);
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z = nmod_poly_resultant_euclidean(h, g);
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y = nmod_mul(y, z, f->mod);
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nmod_poly_mul(f, f, h);
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x = nmod_poly_resultant_euclidean(f, g);
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result = (x == y);
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if (!result)
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{
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flint_printf("FAIL (res(f h, g) == res(f, g) res(h, g)):\n");
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nmod_poly_print(f), flint_printf("\n\n");
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nmod_poly_print(g), flint_printf("\n\n");
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nmod_poly_print(h), flint_printf("\n\n");
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flint_printf("x = %wu\n", x);
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flint_printf("y = %wu\n", y);
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flint_printf("z = %wd\n", z);
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flint_printf("n = %wu\n", n);
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abort();
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}
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nmod_poly_clear(f);
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nmod_poly_clear(g);
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nmod_poly_clear(h);
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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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