148 lines
4.2 KiB
C
148 lines
4.2 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 "fmpz.h"
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#include "fmpz_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("pseudo_div....");
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fflush(stdout);
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/* Check r = a - q * b has small degree, no aliasing */
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for (i = 0; i < 200 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t a, b, q, r, prod;
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fmpz_t p;
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ulong d;
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fmpz_init(p);
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fmpz_poly_init(a);
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fmpz_poly_init(b);
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fmpz_poly_init(q);
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fmpz_poly_init(r);
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fmpz_poly_init(prod);
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fmpz_poly_randtest(a, state, n_randint(state, 100), 50);
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fmpz_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1, 50);
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fmpz_poly_pseudo_div(q, &d, a, b);
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fmpz_poly_mul(prod, q, b);
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fmpz_pow_ui(p, b->coeffs + b->length - 1, d);
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fmpz_poly_scalar_mul_fmpz(a, a, p);
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fmpz_poly_sub(r, a, prod);
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result = (fmpz_poly_length(r) < fmpz_poly_length(b));
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if (!result)
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{
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flint_printf("FAIL:\n");
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fmpz_poly_print(a), flint_printf("\n\n");
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fmpz_poly_print(prod), flint_printf("\n\n");
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fmpz_poly_print(q), flint_printf("\n\n");
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fmpz_poly_print(r), flint_printf("\n\n");
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abort();
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}
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fmpz_clear(p);
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fmpz_poly_clear(a);
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fmpz_poly_clear(b);
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fmpz_poly_clear(q);
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fmpz_poly_clear(r);
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fmpz_poly_clear(prod);
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}
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/* Check q and a alias */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t a, b, q;
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ulong d;
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fmpz_poly_init(a);
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fmpz_poly_init(b);
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fmpz_poly_init(q);
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fmpz_poly_randtest(a, state, n_randint(state, 100), 50);
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fmpz_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1, 50);
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fmpz_poly_pseudo_div(q, &d, a, b);
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fmpz_poly_pseudo_div(a, &d, a, b);
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result = (fmpz_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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fmpz_poly_print(a), flint_printf("\n\n");
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fmpz_poly_print(q), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(a);
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fmpz_poly_clear(b);
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fmpz_poly_clear(q);
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}
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/* Check q and b alias */
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for (i = 0; i < 50 * flint_test_multiplier(); i++)
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{
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fmpz_poly_t a, b, q;
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ulong d;
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fmpz_poly_init(a);
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fmpz_poly_init(b);
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fmpz_poly_init(q);
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fmpz_poly_randtest(a, state, n_randint(state, 100), 50);
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fmpz_poly_randtest_not_zero(b, state, n_randint(state, 100) + 1, 50);
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fmpz_poly_pseudo_div(q, &d, a, b);
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fmpz_poly_pseudo_div(b, &d, a, b);
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result = (fmpz_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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fmpz_poly_print(a), flint_printf("\n\n");
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fmpz_poly_print(q), flint_printf("\n\n");
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abort();
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}
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fmpz_poly_clear(a);
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fmpz_poly_clear(b);
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fmpz_poly_clear(q);
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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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