142 lines
4.3 KiB
C
142 lines
4.3 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("solve_fflu....");
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fflush(stdout);
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for (i = 0; i < 200 * flint_test_multiplier(); i++)
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{
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fmpz_poly_mat_t A, X, B, AX, Bden;
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fmpz_poly_t den, det;
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slong n, m, bits, deg;
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float density;
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int solved;
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n = n_randint(state, 15);
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m = n_randint(state, 5);
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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(B, n, m);
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fmpz_poly_mat_init(X, n, m);
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fmpz_poly_mat_init(AX, n, m);
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fmpz_poly_mat_init(Bden, n, m);
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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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fmpz_poly_mat_randtest_sparse(B, state, deg, bits, density);
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solved = fmpz_poly_mat_solve_fflu(X, den, A, B);
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fmpz_poly_mat_det_interpolate(det, A);
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if (m == 0 || n == 0)
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{
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if (solved == 0)
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{
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flint_printf("FAIL: expected empty system 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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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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flint_printf("den:\n"); fmpz_poly_print_pretty(den, "x");
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flint_printf("\n\n");
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flint_printf("det:\n"); fmpz_poly_print_pretty(det, "x");
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flint_printf("\n\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("B:\n");
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fmpz_poly_mat_print(B, "x");
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flint_printf("X:\n");
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fmpz_poly_mat_print(X, "x");
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abort();
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}
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}
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}
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if (solved != !fmpz_poly_is_zero(den))
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{
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flint_printf("FAIL: return value does not match denominator\n");
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abort();
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}
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fmpz_poly_mat_mul(AX, A, X);
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fmpz_poly_mat_scalar_mul_fmpz_poly(Bden, B, den);
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if (!fmpz_poly_mat_equal(AX, Bden))
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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("B:\n");
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fmpz_poly_mat_print(B, "x");
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flint_printf("X:\n");
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fmpz_poly_mat_print(X, "x");
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flint_printf("AX:\n");
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fmpz_poly_mat_print(AX, "x");
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flint_printf("Bden:\n");
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fmpz_poly_mat_print(Bden, "x");
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abort();
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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(B);
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fmpz_poly_mat_clear(X);
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fmpz_poly_mat_clear(AX);
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fmpz_poly_mat_clear(Bden);
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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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