97 lines
2.7 KiB
C
97 lines
2.7 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) 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 <gmp.h>
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#include "flint.h"
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#include "fmpq.h"
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#include "fmpq_mat.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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slong i;
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FLINT_TEST_INIT(state);
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flint_printf("trace....");
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fflush(stdout);
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/* Test trace(AB) = trace(BA) */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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fmpq_mat_t A, B, AB, BA;
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fmpq_t trab, trba;
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slong m, n;
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m = n_randint(state, 10);
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n = n_randint(state, 10);
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fmpq_mat_init(A, m, n);
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fmpq_mat_init(B, n, m);
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fmpq_mat_init(AB, m, m);
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fmpq_mat_init(BA, n, n);
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fmpq_init(trab);
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fmpq_init(trba);
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fmpq_mat_randtest(A, state, 1 + n_randint(state, 100));
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fmpq_mat_randtest(B, state, 1 + n_randint(state, 100));
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fmpq_mat_mul(AB, A, B);
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fmpq_mat_mul(BA, B, A);
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fmpq_mat_trace(trab, AB);
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fmpq_mat_trace(trba, BA);
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if (!fmpq_equal(trab, trba))
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{
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flint_printf("FAIL:\n");
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fmpq_mat_print(A), flint_printf("\n");
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fmpq_mat_print(B), flint_printf("\n");
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fmpq_mat_print(AB), flint_printf("\n");
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fmpq_mat_print(BA), flint_printf("\n");
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flint_printf("tr(AB): "), fmpq_print(trab), flint_printf("\n");
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flint_printf("tr(BA): "), fmpq_print(trba), flint_printf("\n");
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abort();
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}
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fmpq_mat_clear(A);
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fmpq_mat_clear(B);
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fmpq_mat_clear(AB);
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fmpq_mat_clear(BA);
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fmpq_clear(trab);
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fmpq_clear(trba);
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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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