328 lines
9.7 KiB
C
328 lines
9.7 KiB
C
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/*=============================================================================
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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) 2010 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 "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("divrem....");
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fflush(stdout);
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/* Check result of divrem */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, q, r, prod;
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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(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(q, n);
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nmod_poly_init(r, n);
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nmod_poly_init(prod, n);
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nmod_poly_randtest(a, state, n_randint(state, 2000));
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do nmod_poly_randtest(b, state, n_randint(state, 2000));
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while (b->length == 0);
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nmod_poly_divrem(q, r, a, b);
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nmod_poly_mul(prod, q, b);
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nmod_poly_add(prod, prod, r);
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result = (nmod_poly_equal(a, prod));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(prod), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(q);
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nmod_poly_clear(r);
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nmod_poly_clear(prod);
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}
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/* Check aliasing of a and q */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, q, r;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(q, n);
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nmod_poly_init(r, n);
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nmod_poly_randtest(a, state, n_randint(state, 2000));
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do nmod_poly_randtest(b, state, n_randint(state, 2000));
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while (b->length == 0);
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nmod_poly_divrem(q, r, a, b);
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nmod_poly_divrem(a, r, a, b);
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result = (nmod_poly_equal(a, q));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(q);
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nmod_poly_clear(r);
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}
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/* Check aliasing of b and q */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, q, r;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(q, n);
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nmod_poly_init(r, n);
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nmod_poly_randtest(a, state, n_randint(state, 2000));
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do nmod_poly_randtest(b, state, n_randint(state, 2000));
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while (b->length == 0);
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nmod_poly_divrem(q, r, a, b);
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nmod_poly_divrem(b, r, a, b);
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result = (nmod_poly_equal(b, q));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(q);
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nmod_poly_clear(r);
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}
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/* Check aliasing of a and r */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, q, r;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(q, n);
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nmod_poly_init(r, n);
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nmod_poly_randtest(a, state, n_randint(state, 2000));
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do nmod_poly_randtest(b, state, n_randint(state, 2000));
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while (b->length == 0);
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nmod_poly_divrem(q, r, a, b);
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nmod_poly_divrem(q, a, a, b);
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result = (nmod_poly_equal(a, r));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(q);
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nmod_poly_clear(r);
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}
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/* Check aliasing of b and r */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, q, r;
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mp_limb_t n;
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do n = n_randtest(state);
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while (!n_is_probabprime(n));
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(q, n);
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nmod_poly_init(r, n);
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nmod_poly_randtest(a, state, n_randint(state, 2000));
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do nmod_poly_randtest(b, state, n_randint(state, 2000));
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while (b->length == 0);
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nmod_poly_divrem(q, r, a, b);
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nmod_poly_divrem(q, b, a, b);
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result = (nmod_poly_equal(b, r));
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(b), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(q);
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nmod_poly_clear(r);
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}
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/* Check result of divrem_q0 */
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for (i = 0; i < 500 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, q, r, prod;
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mp_limb_t n = n_randprime(state, n_randint(state,FLINT_BITS-1)+2, 0);
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(q, n);
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nmod_poly_init(r, n);
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nmod_poly_init(prod, n);
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do nmod_poly_randtest(a, state, n_randint(state, 400));
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while (a->length < 1);
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nmod_poly_randtest(b, state, a->length);
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do b->coeffs[a->length - 1] = n_randint(state, n);
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while (b->coeffs[a->length - 1] == 0);
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b->length = a->length;
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nmod_poly_divrem(q, r, a, b);
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nmod_poly_mul(prod, q, b);
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nmod_poly_add(prod, prod, r);
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result = (nmod_poly_equal(a, prod) && r->length < b->length);
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(prod), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(q);
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nmod_poly_clear(r);
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nmod_poly_clear(prod);
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}
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/* Check result of divrem_q1 */
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for (i = 0; i < 500 * flint_test_multiplier(); i++)
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{
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nmod_poly_t a, b, q, r, prod;
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mp_limb_t n = n_randprime(state, n_randint(state,FLINT_BITS-1)+2, 0);
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nmod_poly_init(a, n);
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nmod_poly_init(b, n);
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nmod_poly_init(q, n);
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nmod_poly_init(r, n);
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nmod_poly_init(prod, n);
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do nmod_poly_randtest(a, state, n_randint(state, 1000));
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while (a->length < 2);
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nmod_poly_fit_length(b, a->length - 1);
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flint_mpn_zero(b->coeffs, a->length - 1);
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nmod_poly_randtest_not_zero(b, state, n_randint(state, 1000) + 1);
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do b->coeffs[a->length - 2] = n_randint(state, n);
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while (b->coeffs[a->length - 2] == 0);
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b->length = a->length - 1;
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nmod_poly_divrem(q, r, a, b);
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nmod_poly_mul(prod, q, b);
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nmod_poly_add(prod, prod, r);
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result = (nmod_poly_equal(a, prod) && r->length < b->length);
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if (!result)
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{
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flint_printf("FAIL:\n");
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(prod), flint_printf("\n\n");
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nmod_poly_print(q), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\n\n");
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flint_printf("n = %wd\n", n);
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abort();
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}
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nmod_poly_clear(a);
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nmod_poly_clear(b);
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nmod_poly_clear(q);
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nmod_poly_clear(r);
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nmod_poly_clear(prod);
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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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