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/*=============================================================================
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) 2014 Alex J. Best
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "fmpz.h"
#include "fmpz_mat.h"
int
main(void)
{
slong iter;
FLINT_TEST_INIT(state);
flint_printf("hnf_modular....");
fflush(stdout);
for (iter = 0; iter < 1000 * flint_test_multiplier(); iter++)
{
fmpz_t det;
fmpz_mat_t A, B, H, H2;
slong m, n, b, c, d, i, j;
int equal;
n = n_randint(state, 10);
m = n + n_randint(state, 10);
fmpz_init(det);
fmpz_mat_init(A, n, n);
fmpz_mat_init(B, m, n);
fmpz_mat_init(H, m, n);
fmpz_mat_init(H2, m, n);
/* sparse */
b = 1 + n_randint(state, 10) * n_randint(state, 10);
fmpz_mat_randrank(A, state, n, b);
fmpz_mat_det(det, A);
c = 1 + n_randint(state, 10);
fmpz_abs(det, det);
fmpz_mul_ui(det, det, c);
for (i = 0; i < n; i++)
for (j = 0; j < n; j++)
fmpz_set(fmpz_mat_entry(B, i, j), fmpz_mat_entry(A, i, j));
/* dense */
d = n_randint(state, 2*m*n + 1);
if (n_randint(state, 2))
fmpz_mat_randops(B, state, d);
fmpz_mat_hnf_modular(H, B, det);
if (!fmpz_mat_is_in_hnf(H))
{
flint_printf("FAIL:\n");
flint_printf("matrix not in hnf!\n");
fmpz_mat_print_pretty(A); flint_printf("\n\n");
fmpz_mat_print_pretty(B); flint_printf("\n\n");
fmpz_mat_print_pretty(H); flint_printf("\n\n");
abort();
}
fmpz_mat_hnf_classical(H2, B);
equal = fmpz_mat_equal(H, H2);
if (!equal)
{
flint_printf("FAIL:\n");
flint_printf("hnfs produced by different methods should be the same!\n");
fmpz_mat_print_pretty(A); flint_printf("\n\n");
fmpz_mat_print_pretty(B); flint_printf("\n\n");
fmpz_mat_print_pretty(H); flint_printf("\n\n");
fmpz_mat_print_pretty(H2); flint_printf("\n\n");
fmpz_print(det); flint_printf("\n\n");
abort();
}
fmpz_mat_hnf_modular(H2, H, det);
equal = fmpz_mat_equal(H, H2);
if (!equal)
{
flint_printf("FAIL:\n");
flint_printf("hnf of a matrix in hnf should be the same!\n");
fmpz_mat_print_pretty(A); flint_printf("\n\n");
fmpz_mat_print_pretty(B); flint_printf("\n\n");
fmpz_mat_print_pretty(H); flint_printf("\n\n");
fmpz_mat_print_pretty(H2); flint_printf("\n\n");
abort();
}
fmpz_mat_clear(H2);
fmpz_mat_clear(H);
fmpz_mat_clear(B);
fmpz_mat_clear(A);
fmpz_clear(det);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}
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