101 lines
2.8 KiB
C
101 lines
2.8 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_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("nullspace....");
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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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nmod_poly_mat_t A, N, AN;
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slong n, m, deg, rank, nullity;
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float density;
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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, 13);
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n = n_randint(state, 13);
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deg = 1 + n_randint(state, 5);
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density = n_randint(state, 100) * 0.01;
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nmod_poly_mat_init(A, m, n, mod);
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nmod_poly_mat_init(N, n, n, mod);
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nmod_poly_mat_init(AN, m, n, mod);
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nmod_poly_mat_randtest_sparse(A, state, deg, density);
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rank = nmod_poly_mat_rank(A);
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nullity = nmod_poly_mat_nullspace(N, A);
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if (nullity + rank != n)
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{
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flint_printf("FAIL: wrong nullity!\n");
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flint_printf("rank = %wd\n", rank);
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flint_printf("nullity = %wd\n", nullity);
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nmod_poly_mat_print(A, "x");
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flint_printf("\n");
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nmod_poly_mat_print(N, "x");
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flint_printf("\n");
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abort();
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}
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if (nmod_poly_mat_rank(N) != nullity)
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{
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flint_printf("FAIL: wrong rank(N) != nullity!\n");
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abort();
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}
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nmod_poly_mat_mul(AN, A, N);
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if (!nmod_poly_mat_is_zero(AN))
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{
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flint_printf("FAIL: A * N != 0\n");
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abort();
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}
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nmod_poly_mat_clear(A);
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nmod_poly_mat_clear(N);
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nmod_poly_mat_clear(AN);
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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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