96 lines
2.6 KiB
C
96 lines
2.6 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 "fmpz_mat.h"
|
|
#include "fmpz_poly.h"
|
|
#include "fmpz_poly_mat.h"
|
|
|
|
|
|
int
|
|
main(void)
|
|
{
|
|
slong i;
|
|
|
|
FLINT_TEST_INIT(state);
|
|
|
|
flint_printf("rank....");
|
|
fflush(stdout);
|
|
|
|
for (i = 0; i < 100 * flint_test_multiplier(); i++)
|
|
{
|
|
fmpz_poly_mat_t A;
|
|
fmpz_mat_t Ax;
|
|
fmpz_t x;
|
|
slong j, m, n, bits, deg, rank, zrank;
|
|
float density;
|
|
|
|
m = n_randint(state, 15);
|
|
n = n_randint(state, 15);
|
|
deg = 1 + n_randint(state, 5);
|
|
bits = 1 + n_randint(state, 100);
|
|
density = n_randint(state, 100) * 0.01;
|
|
|
|
fmpz_poly_mat_init(A, m, n);
|
|
fmpz_mat_init(Ax, m, n);
|
|
fmpz_init(x);
|
|
|
|
fmpz_poly_mat_randtest_sparse(A, state, deg, bits, density);
|
|
|
|
/* Probabilistic rank computation */
|
|
zrank = 0;
|
|
for (j = 0; j < 5; j++)
|
|
{
|
|
slong r;
|
|
fmpz_randbits(x, state, 15);
|
|
fmpz_poly_mat_evaluate_fmpz(Ax, A, x);
|
|
r = fmpz_mat_rank(Ax);
|
|
zrank = FLINT_MAX(zrank, r);
|
|
}
|
|
|
|
rank = fmpz_poly_mat_rank(A);
|
|
|
|
if (rank != zrank)
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("A:\n");
|
|
fmpz_poly_mat_print(A, "x");
|
|
flint_printf("Computed rank: %wd (zrank = %wd)\n", rank, zrank);
|
|
abort();
|
|
}
|
|
|
|
fmpz_clear(x);
|
|
fmpz_mat_clear(Ax);
|
|
fmpz_poly_mat_clear(A);
|
|
}
|
|
|
|
FLINT_TEST_CLEANUP(state);
|
|
|
|
flint_printf("PASS\n");
|
|
return 0;
|
|
}
|