154 lines
4.1 KiB
C
154 lines
4.1 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) 2012 Fredrik Johansson
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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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#include "nmod_poly.h"
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int
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main(void)
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{
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int i;
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FLINT_TEST_INIT(state);
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flint_printf("taylor_shift....");
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fflush(stdout);
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/* Check aliasing */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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nmod_poly_t f, g;
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mp_limb_t c, mod;
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mod = n_randtest_prime(state, 0);
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nmod_poly_init(f, mod);
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nmod_poly_init(g, mod);
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nmod_poly_randtest(f, state, 1 + n_randint(state, 50));
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c = n_randtest(state) % mod;
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nmod_poly_taylor_shift(g, f, c);
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nmod_poly_taylor_shift(f, f, c);
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if (!nmod_poly_equal(g, f))
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{
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flint_printf("FAIL\n");
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nmod_poly_print(f); flint_printf("\n");
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nmod_poly_print(g); flint_printf("\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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/* Compare with composition */
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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nmod_poly_t f, g, h1, h2;
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mp_limb_t mod, c;
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mod = n_randtest_prime(state, 0);
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nmod_poly_init(f, mod);
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nmod_poly_init(g, mod);
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nmod_poly_init(h1, mod);
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nmod_poly_init(h2, mod);
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nmod_poly_randtest(f, state, 1 + n_randint(state, 50));
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c = n_randtest(state) % mod;
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nmod_poly_set_coeff_ui(g, 1, 1);
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nmod_poly_set_coeff_ui(g, 0, c);
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nmod_poly_taylor_shift(h1, f, c);
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nmod_poly_compose(h2, f, g);
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if (!nmod_poly_equal(h1, h2))
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{
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flint_printf("FAIL\n");
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nmod_poly_print(f); flint_printf("\n");
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nmod_poly_print(g); flint_printf("\n");
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nmod_poly_print(h1); flint_printf("\n");
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nmod_poly_print(h2); flint_printf("\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(h1);
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nmod_poly_clear(h2);
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}
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/* Check some large cases */
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for (i = 0; i < 10 * flint_test_multiplier(); i++)
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{
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nmod_poly_t f, g, h1, h2;
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mp_limb_t mod, c;
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mod = n_randtest_prime(state, 0);
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nmod_poly_init(f, mod);
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nmod_poly_init(g, mod);
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nmod_poly_init(h1, mod);
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nmod_poly_init(h2, mod);
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nmod_poly_randtest(f, state, 1 + n_randint(state, 2000));
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c = n_randtest(state) % mod;
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nmod_poly_set_coeff_ui(g, 1, 1);
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nmod_poly_set_coeff_ui(g, 0, c);
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nmod_poly_taylor_shift(h1, f, c);
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nmod_poly_compose(h2, f, g);
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if (!nmod_poly_equal(h1, h2))
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{
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flint_printf("FAIL\n");
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nmod_poly_print(f); flint_printf("\n");
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nmod_poly_print(g); flint_printf("\n");
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nmod_poly_print(h1); flint_printf("\n");
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nmod_poly_print(h2); flint_printf("\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(h1);
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nmod_poly_clear(h2);
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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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