111 lines
3.1 KiB
C
111 lines
3.1 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 "nmod_vec.h"
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#include "nmod_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("nullspace....");
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fflush(stdout);
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for (i = 0; i < 1000 * flint_test_multiplier(); i++)
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{
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nmod_mat_t A, B, ker;
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mp_limb_t mod;
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slong m, n, d, r, nullity, nulrank;
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m = n_randint(state, 30);
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n = n_randint(state, 30);
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for (r = 0; r <= FLINT_MIN(m,n); r++)
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{
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mod = n_randtest_prime(state, 0);
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d = n_randint(state, 2*m*n + 1);
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nmod_mat_init(A, m, n, mod);
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nmod_mat_init(ker, n, n, mod);
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nmod_mat_init(B, m, n, mod);
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nmod_mat_randrank(A, state, r);
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/* Densify */
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if (n_randlimb(state) % 2)
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nmod_mat_randops(A, d, state);
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nullity = nmod_mat_nullspace(ker, A);
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nulrank = nmod_mat_rank(ker);
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if (nullity != nulrank)
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{
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flint_printf("FAIL:\n");
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flint_printf("rank(ker) != nullity!\n");
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nmod_mat_print_pretty(A);
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flint_printf("\n");
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abort();
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}
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if (nullity + r != n)
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{
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flint_printf("FAIL:\n");
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flint_printf("nullity + rank != n\n");
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nmod_mat_print_pretty(A);
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flint_printf("\n");
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abort();
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}
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nmod_mat_mul(B, A, ker);
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if (nmod_mat_rank(B) != 0)
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{
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flint_printf("FAIL:\n");
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flint_printf("A * ker != 0\n");
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nmod_mat_print_pretty(A);
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flint_printf("\n");
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abort();
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}
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nmod_mat_clear(A);
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nmod_mat_clear(ker);
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nmod_mat_clear(B);
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}
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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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