pqc/external/flint-2.4.3/nmod_poly_mat/test/t-nullspace.c
2014-05-24 23:16:06 +02:00

101 lines
2.8 KiB
C

/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include "flint.h"
#include "nmod_poly.h"
#include "nmod_poly_mat.h"
#include "fmpz.h"
int
main(void)
{
slong i;
FLINT_TEST_INIT(state);
flint_printf("nullspace....");
fflush(stdout);
for (i = 0; i < 200 * flint_test_multiplier(); i++)
{
nmod_poly_mat_t A, N, AN;
slong n, m, deg, rank, nullity;
float density;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
m = n_randint(state, 13);
n = n_randint(state, 13);
deg = 1 + n_randint(state, 5);
density = n_randint(state, 100) * 0.01;
nmod_poly_mat_init(A, m, n, mod);
nmod_poly_mat_init(N, n, n, mod);
nmod_poly_mat_init(AN, m, n, mod);
nmod_poly_mat_randtest_sparse(A, state, deg, density);
rank = nmod_poly_mat_rank(A);
nullity = nmod_poly_mat_nullspace(N, A);
if (nullity + rank != n)
{
flint_printf("FAIL: wrong nullity!\n");
flint_printf("rank = %wd\n", rank);
flint_printf("nullity = %wd\n", nullity);
nmod_poly_mat_print(A, "x");
flint_printf("\n");
nmod_poly_mat_print(N, "x");
flint_printf("\n");
abort();
}
if (nmod_poly_mat_rank(N) != nullity)
{
flint_printf("FAIL: wrong rank(N) != nullity!\n");
abort();
}
nmod_poly_mat_mul(AN, A, N);
if (!nmod_poly_mat_is_zero(AN))
{
flint_printf("FAIL: A * N != 0\n");
abort();
}
nmod_poly_mat_clear(A);
nmod_poly_mat_clear(N);
nmod_poly_mat_clear(AN);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}