124 lines
3.7 KiB
C
124 lines
3.7 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) 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 = 1;
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FLINT_TEST_INIT(state);
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flint_printf("compose_horner....");
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fflush(stdout);
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/* Check (f(x-1))(x+1) == f */
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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, r, xp1, xm1;
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mp_limb_t n = n_randtest_not_zero(state);
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nmod_poly_init(a, n);
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nmod_poly_init(r, n);
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nmod_poly_init(xm1, n);
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nmod_poly_init(xp1, n);
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nmod_poly_randtest(a, state, n_randint(state, 100));
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nmod_poly_set_coeff_ui(xm1, 1, 1);
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nmod_poly_set_coeff_ui(xm1, 0, n - 1);
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nmod_poly_set_coeff_ui(xp1, 1, 1);
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nmod_poly_set_coeff_ui(xp1, 0, 1);
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nmod_poly_compose_horner(r, a, xm1);
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nmod_poly_compose_horner(r, r, xp1);
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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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flint_printf("a->length = %wd, n = %wu\n", a->length, a->mod.n);
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nmod_poly_print(a), flint_printf("\n\n");
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nmod_poly_print(r), flint_printf("\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(r);
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nmod_poly_clear(xm1);
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nmod_poly_clear(xp1);
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}
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/* Check a(c) + b(c) = (a + b)(c) */
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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, c, r1, r2;
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mp_limb_t n = n_randtest_not_zero(state);
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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(c, n);
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nmod_poly_init(r1, n);
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nmod_poly_init(r2, n);
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nmod_poly_randtest(a, state, n_randint(state, 30));
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nmod_poly_randtest(b, state, n_randint(state, 30));
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nmod_poly_randtest(c, state, n_randint(state, 10));
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nmod_poly_compose_horner(r1, a, c);
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nmod_poly_compose_horner(r2, b, c);
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nmod_poly_add(r1, r1, r2);
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nmod_poly_add(a, a, b);
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nmod_poly_compose_horner(r2, a, c);
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result = nmod_poly_equal(r1, r2);
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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(r1), flint_printf("\n\n");
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nmod_poly_print(r2), flint_printf("\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(c);
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nmod_poly_clear(r1);
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nmod_poly_clear(r2);
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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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