pqc/external/flint-2.4.3/fmpz_mat/test/t-nullspace.c

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2014-05-18 22:03:37 +00:00
/*=============================================================================
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 <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_vec.h"
#include "fmpz_mat.h"
#include "ulong_extras.h"
int
main(void)
{
fmpz_mat_t A, B, ker;
slong i, m, n, b, d, r, nullity, nulrank;
FLINT_TEST_INIT(state);
flint_printf("nullspace....");
fflush(stdout);
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
m = n_randint(state, 10);
n = n_randint(state, 10);
for (r = 0; r <= FLINT_MIN(m,n); r++)
{
b = 1 + n_randint(state, 10) * n_randint(state, 10);
d = n_randint(state, 2*m*n + 1);
fmpz_mat_init(A, m, n);
fmpz_mat_init(ker, n, n);
fmpz_mat_init(B, m, n);
fmpz_mat_randrank(A, state, r, b);
/* Densify */
if (n_randlimb(state) % 2)
fmpz_mat_randops(A, state, d);
nullity = fmpz_mat_nullspace(ker, A);
nulrank = fmpz_mat_rank(ker);
if (nullity != nulrank)
{
flint_printf("FAIL:\n");
flint_printf("rank(ker) != nullity!\n");
fmpz_mat_print_pretty(A);
flint_printf("\n");
abort();
}
if (nullity + r != n)
{
flint_printf("FAIL:\n");
flint_printf("nullity + rank != n\n");
fmpz_mat_print_pretty(A);
flint_printf("\n");
abort();
}
fmpz_mat_mul(B, A, ker);
if (fmpz_mat_rank(B) != 0)
{
flint_printf("FAIL:\n");
flint_printf("A * ker != 0\n");
fmpz_mat_print_pretty(A);
flint_printf("\n");
abort();
}
fmpz_mat_clear(A);
fmpz_mat_clear(ker);
fmpz_mat_clear(B);
}
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}