129 lines
3.5 KiB
C
129 lines
3.5 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) 2010 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#include <stdio.h>
|
|
#include <stdlib.h>
|
|
#include <gmp.h>
|
|
#include "flint.h"
|
|
#include "nmod_vec.h"
|
|
#include "nmod_mat.h"
|
|
#include "ulong_extras.h"
|
|
|
|
|
|
int
|
|
main(void)
|
|
{
|
|
nmod_mat_t A, x, b, Ax;
|
|
slong i, m, r;
|
|
int solved;
|
|
mp_limb_t mod;
|
|
FLINT_TEST_INIT(state);
|
|
|
|
|
|
flint_printf("solve_vec....");
|
|
fflush(stdout);
|
|
|
|
for (i = 0; i < 2000 * flint_test_multiplier(); i++)
|
|
{
|
|
m = n_randint(state, 20);
|
|
mod = n_randtest_prime(state, 0);
|
|
|
|
nmod_mat_init(A, m, m, mod);
|
|
nmod_mat_init(b, m, 1, mod);
|
|
nmod_mat_init(x, m, 1, mod);
|
|
nmod_mat_init(Ax, m, 1, mod);
|
|
|
|
nmod_mat_randrank(A, state, m);
|
|
nmod_mat_randtest(b, state);
|
|
|
|
/* Dense */
|
|
if (n_randint(state, 2))
|
|
nmod_mat_randops(A, 1+n_randint(state, 1+m*m), state);
|
|
|
|
solved = nmod_mat_solve_vec(x->entries, A, b->entries);
|
|
nmod_mat_mul(Ax, A, x);
|
|
|
|
if (!nmod_mat_equal(Ax, b) || !solved)
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("Ax != b!\n");
|
|
flint_printf("A:\n");
|
|
nmod_mat_print_pretty(A);
|
|
flint_printf("b:\n");
|
|
nmod_mat_print_pretty(b);
|
|
flint_printf("x:\n");
|
|
nmod_mat_print_pretty(x);
|
|
flint_printf("Ax:\n");
|
|
nmod_mat_print_pretty(Ax);
|
|
flint_printf("\n");
|
|
abort();
|
|
}
|
|
|
|
nmod_mat_clear(A);
|
|
nmod_mat_clear(b);
|
|
nmod_mat_clear(x);
|
|
nmod_mat_clear(Ax);
|
|
}
|
|
|
|
/* Test singular systems */
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
|
{
|
|
m = 1 + n_randint(state, 20);
|
|
r = n_randint(state, m);
|
|
mod = n_randtest_prime(state, 0);
|
|
|
|
nmod_mat_init(A, m, m, mod);
|
|
nmod_mat_init(b, m, 1, mod);
|
|
nmod_mat_init(x, m, 1, mod);
|
|
nmod_mat_init(Ax, m, 1, mod);
|
|
|
|
nmod_mat_randrank(A, state, r);
|
|
nmod_mat_randtest(b, state);
|
|
|
|
/* Dense */
|
|
if (n_randint(state, 2))
|
|
nmod_mat_randops(A, 1+n_randint(state, 1+m*m), state);
|
|
|
|
solved = nmod_mat_solve_vec(x->entries, A, b->entries);
|
|
|
|
if (solved)
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("singular system was 'solved'\n");
|
|
abort();
|
|
}
|
|
|
|
nmod_mat_clear(A);
|
|
nmod_mat_clear(b);
|
|
nmod_mat_clear(x);
|
|
nmod_mat_clear(Ax);
|
|
}
|
|
|
|
FLINT_TEST_CLEANUP(state);
|
|
|
|
flint_printf("PASS\n");
|
|
return 0;
|
|
}
|