164 lines
4.6 KiB
C
164 lines
4.6 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 "fmpz_poly.h"
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#include "fmpz_poly_mat.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("inv....");
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fflush(stdout);
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/* Test aliasing */
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for (i = 0; i < 40 * flint_test_multiplier(); i++)
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{
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fmpz_poly_mat_t A, Ainv;
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fmpz_poly_t den1, den2;
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slong n, bits, deg;
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float density;
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int ns1, ns2;
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int result;
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n = n_randint(state, 8);
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deg = 1 + n_randint(state, 5);
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bits = 1 + n_randint(state, 100);
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density = n_randint(state, 100) * 0.01;
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fmpz_poly_mat_init(A, n, n);
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fmpz_poly_mat_init(Ainv, n, n);
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fmpz_poly_init(den1);
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fmpz_poly_init(den2);
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fmpz_poly_mat_randtest_sparse(A, state, deg, bits, density);
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ns1 = fmpz_poly_mat_inv(Ainv, den1, A);
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ns2 = fmpz_poly_mat_inv(A, den2, A);
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result = ns1 == ns2;
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if (result && ns1 != 0)
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{
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result = fmpz_poly_equal(den1, den2) &&
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fmpz_poly_mat_equal(A, Ainv);
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}
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if (!result)
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{
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flint_printf("FAIL (aliasing)!\n");
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fmpz_poly_mat_print(A, "x"); flint_printf("\n");
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fmpz_poly_mat_print(Ainv, "x"); flint_printf("\n");
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abort();
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}
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fmpz_poly_mat_clear(A);
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fmpz_poly_mat_clear(Ainv);
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fmpz_poly_clear(den1);
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fmpz_poly_clear(den2);
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}
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/* Check A^(-1) = A = 1 */
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for (i = 0; i < 100 * flint_test_multiplier(); i++)
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{
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fmpz_poly_mat_t A, Ainv, B, Iden;
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fmpz_poly_t den, det;
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slong n, bits, deg;
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float density;
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int nonsingular;
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n = n_randint(state, 10);
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deg = 1 + n_randint(state, 5);
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bits = 1 + n_randint(state, 100);
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density = n_randint(state, 100) * 0.01;
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fmpz_poly_mat_init(A, n, n);
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fmpz_poly_mat_init(Ainv, n, n);
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fmpz_poly_mat_init(B, n, n);
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fmpz_poly_mat_init(Iden, n, n);
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fmpz_poly_init(den);
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fmpz_poly_init(det);
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fmpz_poly_mat_randtest_sparse(A, state, deg, bits, density);
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nonsingular = fmpz_poly_mat_inv(Ainv, den, A);
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fmpz_poly_mat_det_interpolate(det, A);
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if (n == 0)
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{
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if (nonsingular == 0 || !fmpz_poly_is_one(den))
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{
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flint_printf("FAIL: expected empty matrix to pass\n");
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abort();
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}
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}
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else
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{
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if (!fmpz_poly_equal(den, det))
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{
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fmpz_poly_neg(det, det);
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flint_printf("FAIL: den != det(A)\n");
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abort();
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}
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fmpz_poly_mat_mul(B, Ainv, A);
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fmpz_poly_mat_one(Iden);
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fmpz_poly_mat_scalar_mul_fmpz_poly(Iden, Iden, den);
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if (!fmpz_poly_mat_equal(B, Iden))
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{
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flint_printf("FAIL:\n");
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flint_printf("A:\n");
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fmpz_poly_mat_print(A, "x");
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flint_printf("Ainv:\n");
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fmpz_poly_mat_print(Ainv, "x");
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flint_printf("B:\n");
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fmpz_poly_mat_print(B, "x");
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flint_printf("den:\n");
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fmpz_poly_print_pretty(den, "x");
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abort();
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}
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}
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fmpz_poly_clear(den);
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fmpz_poly_clear(det);
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fmpz_poly_mat_clear(A);
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fmpz_poly_mat_clear(Ainv);
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fmpz_poly_mat_clear(B);
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fmpz_poly_mat_clear(Iden);
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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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