149 lines
4.3 KiB
C
149 lines
4.3 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 "fmpz.h"
|
|
#include "fmpz_vec.h"
|
|
#include "fmpz_mat.h"
|
|
#include "ulong_extras.h"
|
|
|
|
|
|
int
|
|
main(void)
|
|
{
|
|
fmpz_mat_t A, B, C, I;
|
|
fmpz_t den;
|
|
slong i, j, m, r;
|
|
|
|
FLINT_TEST_INIT(state);
|
|
|
|
flint_printf("inv....");
|
|
fflush(stdout);
|
|
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
|
{
|
|
m = n_randint(state, 10);
|
|
|
|
fmpz_mat_init(A, m, m);
|
|
fmpz_mat_init(B, m, m);
|
|
fmpz_mat_init(C, m, m);
|
|
fmpz_mat_init(I, m, m);
|
|
fmpz_init(den);
|
|
|
|
for (j = 0; j < m; j++)
|
|
fmpz_set_ui(&I->rows[j][j], UWORD(1));
|
|
|
|
/* Verify that A * A^-1 = I for random matrices */
|
|
|
|
fmpz_mat_randrank(A, state, m, 1+n_randint(state, 2)*n_randint(state, 100));
|
|
/* Dense or sparse? */
|
|
if (n_randint(state, 2))
|
|
fmpz_mat_randops(A, state, 1+n_randint(state, 1 + m*m));
|
|
|
|
fmpz_mat_inv(B, den, A);
|
|
fmpz_mat_mul(C, A, B);
|
|
|
|
_fmpz_vec_scalar_divexact_fmpz(C->entries, C->entries, m*m, den);
|
|
|
|
if (!fmpz_mat_equal(C, I))
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("A * A^-1 != I!\n");
|
|
flint_printf("A:\n"), fmpz_mat_print_pretty(A), flint_printf("\n");
|
|
flint_printf("A^-1:\n"), fmpz_mat_print_pretty(B), flint_printf("\n");
|
|
flint_printf("den(A^-1) = "), fmpz_print(den), flint_printf("\n");
|
|
flint_printf("A * A^-1:\n"), fmpz_mat_print_pretty(C), flint_printf("\n");
|
|
abort();
|
|
}
|
|
|
|
/* Test aliasing */
|
|
fmpz_mat_set(C, A);
|
|
fmpz_mat_inv(A, den, A);
|
|
fmpz_mat_mul(B, A, C);
|
|
_fmpz_vec_scalar_divexact_fmpz(B->entries, B->entries, m*m, den);
|
|
|
|
if (!fmpz_mat_equal(B, I))
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("aliasing failed!\n");
|
|
fmpz_mat_print(C); flint_printf("\n");
|
|
abort();
|
|
}
|
|
|
|
fmpz_mat_clear(A);
|
|
fmpz_mat_clear(B);
|
|
fmpz_mat_clear(C);
|
|
fmpz_mat_clear(I);
|
|
fmpz_clear(den);
|
|
}
|
|
|
|
/* Test singular matrices */
|
|
/* Test singular systems */
|
|
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
|
|
{
|
|
m = 1 + n_randint(state, 10);
|
|
r = n_randint(state, m);
|
|
|
|
fmpz_mat_init(A, m, m);
|
|
fmpz_mat_init(B, m, m);
|
|
fmpz_init(den);
|
|
|
|
fmpz_mat_randrank(A, state, r, 1+n_randint(state, 2)*n_randint(state, 100));
|
|
|
|
/* Dense */
|
|
if (n_randint(state, 2))
|
|
fmpz_mat_randops(A, state, 1+n_randint(state, 1 + m*m));
|
|
|
|
fmpz_mat_inv(B, den, A);
|
|
if (!fmpz_is_zero(den))
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("singular system gave nonzero denominator\n");
|
|
abort();
|
|
}
|
|
|
|
/* Aliasing */
|
|
fmpz_mat_inv(A, den, A);
|
|
if (!fmpz_is_zero(den))
|
|
{
|
|
flint_printf("FAIL:\n");
|
|
flint_printf("singular system gave nonzero denominator\n");
|
|
abort();
|
|
}
|
|
|
|
fmpz_mat_clear(A);
|
|
fmpz_mat_clear(B);
|
|
fmpz_clear(den);
|
|
}
|
|
|
|
FLINT_TEST_CLEANUP(state);
|
|
|
|
flint_printf("PASS\n");
|
|
return 0;
|
|
}
|