203 lines
5.9 KiB
C
203 lines
5.9 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 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 "flint.h"
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#include "nmod_mat.h"
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#include "nmod_poly.h"
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#include "nmod_poly_mat.h"
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#include "fmpz.h"
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int
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main(void)
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{
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slong i;
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FLINT_TEST_INIT(state);
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flint_printf("mul_interpolate....");
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fflush(stdout);
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/* Check evaluation homomorphism */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_mat_t A, B, C;
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nmod_mat_t a, b, c, d;
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mp_limb_t mod, x;
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slong m, n, k, deg;
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mod = n_randtest_prime(state, 0);
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m = n_randint(state, 20);
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n = n_randint(state, 20);
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k = n_randint(state, 20);
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deg = 1 + n_randint(state, 10);
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nmod_poly_mat_init(A, m, n, mod);
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nmod_poly_mat_init(B, n, k, mod);
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nmod_poly_mat_init(C, m, k, mod);
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nmod_mat_init(a, m, n, mod);
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nmod_mat_init(b, n, k, mod);
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nmod_mat_init(c, m, k, mod);
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nmod_mat_init(d, m, k, mod);
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nmod_poly_mat_randtest(A, state, deg);
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nmod_poly_mat_randtest(B, state, deg);
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nmod_poly_mat_randtest(C, state, deg); /* noise in output */
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if (nmod_poly_mat_max_length(A)
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+ nmod_poly_mat_max_length(B) - 1 <= mod)
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{
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nmod_poly_mat_mul_interpolate(C, A, B);
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x = n_randint(state, mod);
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nmod_poly_mat_evaluate_nmod(a, A, x);
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nmod_poly_mat_evaluate_nmod(b, B, x);
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nmod_poly_mat_evaluate_nmod(d, C, x);
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nmod_mat_mul(c, a, b);
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if (!nmod_mat_equal(c, d))
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{
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flint_printf("FAIL:\n");
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flint_printf("A:\n");
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nmod_poly_mat_print(A, "x");
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flint_printf("B:\n");
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nmod_poly_mat_print(B, "x");
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flint_printf("C:\n");
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nmod_poly_mat_print(C, "x");
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flint_printf("\n");
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abort();
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}
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}
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nmod_poly_mat_clear(A);
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nmod_poly_mat_clear(B);
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nmod_poly_mat_clear(C);
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nmod_mat_clear(a);
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nmod_mat_clear(b);
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nmod_mat_clear(c);
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nmod_mat_clear(d);
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}
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/* Check aliasing C and A */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_mat_t A, B, C;
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slong m, n, deg;
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mp_limb_t mod;
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mod = n_randtest_prime(state, 0);
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m = n_randint(state, 20);
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n = n_randint(state, 20);
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deg = 1 + n_randint(state, 10);
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nmod_poly_mat_init(A, m, n, mod);
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nmod_poly_mat_init(B, n, n, mod);
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nmod_poly_mat_init(C, m, n, mod);
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nmod_poly_mat_randtest(A, state, deg);
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nmod_poly_mat_randtest(B, state, deg);
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nmod_poly_mat_randtest(C, state, deg); /* noise in output */
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if (nmod_poly_mat_max_length(A)
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+ nmod_poly_mat_max_length(B) - 1 <= mod)
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{
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nmod_poly_mat_mul_interpolate(C, A, B);
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nmod_poly_mat_mul_interpolate(A, A, B);
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if (!nmod_poly_mat_equal(C, A))
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{
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flint_printf("FAIL:\n");
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flint_printf("A:\n");
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nmod_poly_mat_print(A, "x");
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flint_printf("B:\n");
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nmod_poly_mat_print(B, "x");
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flint_printf("C:\n");
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nmod_poly_mat_print(C, "x");
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flint_printf("\n");
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abort();
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}
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}
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nmod_poly_mat_clear(A);
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nmod_poly_mat_clear(B);
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nmod_poly_mat_clear(C);
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}
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/* Check aliasing C and B */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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nmod_poly_mat_t A, B, C;
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slong m, n, deg;
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mp_limb_t mod;
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mod = n_randtest_prime(state, 0);
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m = n_randint(state, 20);
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n = n_randint(state, 20);
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deg = 1 + n_randint(state, 10);
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nmod_poly_mat_init(A, m, m, mod);
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nmod_poly_mat_init(B, m, n, mod);
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nmod_poly_mat_init(C, m, n, mod);
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nmod_poly_mat_randtest(A, state, deg);
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nmod_poly_mat_randtest(B, state, deg);
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nmod_poly_mat_randtest(C, state, deg); /* noise in output */
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if (nmod_poly_mat_max_length(A)
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+ nmod_poly_mat_max_length(B) - 1 <= mod)
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{
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nmod_poly_mat_mul_interpolate(C, A, B);
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nmod_poly_mat_mul_interpolate(B, A, B);
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if (!nmod_poly_mat_equal(C, B))
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{
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flint_printf("FAIL:\n");
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flint_printf("A:\n");
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nmod_poly_mat_print(A, "x");
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flint_printf("B:\n");
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nmod_poly_mat_print(B, "x");
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flint_printf("C:\n");
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nmod_poly_mat_print(C, "x");
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flint_printf("\n");
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abort();
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}
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}
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nmod_poly_mat_clear(A);
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nmod_poly_mat_clear(B);
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nmod_poly_mat_clear(C);
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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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