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/*
Copyright (C) 2011 Fredrik Johansson
This file is part of FLINT.
FLINT is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version. See <https://www.gnu.org/licenses/>.
*/
#include "test_helpers.h"
#include "ulong_extras.h"
#include "nmod_mat.h"
TEST_FUNCTION_START(nmod_mat_trace, state)
{
slong i;
/* Test trace(AB) = trace(BA) */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_mat_t A, B, AB, BA;
ulong 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)
TEST_FUNCTION_FAIL(
"A = %{nmod_mat}\n"
"B = %{nmod_mat}\n"
"AB = %{nmod_mat}\n"
"BA = %{nmod_mat}\n"
"tr(AB) = %wu\n"
"tr(BA) = %wu\n",
A, B, AB, BA, trab, trba);
nmod_mat_clear(A);
nmod_mat_clear(B);
nmod_mat_clear(AB);
nmod_mat_clear(BA);
}
TEST_FUNCTION_END(state);
}