pqc/external/flint-2.4.3/nmod_mat/test/t-trace.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 "nmod_mat.h"
#include "ulong_extras.h"
int
main(void)
{
slong i;
FLINT_TEST_INIT(state);
flint_printf("trace....");
fflush(stdout);
/* Test trace(AB) = trace(BA) */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_mat_t A, B, AB, BA;
mp_limb_t mod, trab, trba;
slong m, n;
mod = n_randtest_prime(state, 0);
m = n_randint(state, 10);
n = n_randint(state, 10);
nmod_mat_init(A, m, n, mod);
nmod_mat_init(B, n, m, mod);
nmod_mat_init(AB, m, m, mod);
nmod_mat_init(BA, n, n, mod);
nmod_mat_randtest(A, state);
nmod_mat_randtest(B, state);
nmod_mat_mul(AB, A, B);
nmod_mat_mul(BA, B, A);
trab = nmod_mat_trace(AB);
trba = nmod_mat_trace(BA);
if (trab != trba)
{
flint_printf("FAIL:\n");
nmod_mat_print_pretty(A), flint_printf("\n");
nmod_mat_print_pretty(B), flint_printf("\n");
nmod_mat_print_pretty(AB), flint_printf("\n");
nmod_mat_print_pretty(BA), flint_printf("\n");
flint_printf("tr(AB): %wu\n", trab);
flint_printf("tr(BA): %wu\n", trba);
abort();
}
nmod_mat_clear(A);
nmod_mat_clear(B);
nmod_mat_clear(AB);
nmod_mat_clear(BA);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}