pqc/external/flint-2.4.3/nmod_poly_mat/test/t-inv.c
2014-05-24 23:16:06 +02:00

165 lines
4.7 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 "nmod_poly.h"
#include "nmod_poly_mat.h"
#include "fmpz.h"
int
main(void)
{
slong i;
FLINT_TEST_INIT(state);
flint_printf("inv....");
fflush(stdout);
/* Test aliasing */
for (i = 0; i < 40 * flint_test_multiplier(); i++)
{
nmod_poly_mat_t A, Ainv;
nmod_poly_t den1, den2;
slong n, deg;
float density;
int ns1, ns2, result;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
n = n_randint(state, 8);
deg = 1 + n_randint(state, 5);
density = n_randint(state, 100) * 0.01;
nmod_poly_mat_init(A, n, n, mod);
nmod_poly_mat_init(Ainv, n, n, mod);
nmod_poly_init(den1, mod);
nmod_poly_init(den2, mod);
nmod_poly_mat_randtest_sparse(A, state, deg, density);
ns1 = nmod_poly_mat_inv(Ainv, den1, A);
ns2 = nmod_poly_mat_inv(A, den2, A);
result = ns1 == ns2;
if (result && ns1 != 0)
{
result = nmod_poly_equal(den1, den2) &&
nmod_poly_mat_equal(A, Ainv);
}
if (!result)
{
flint_printf("FAIL (aliasing)!\n");
nmod_poly_mat_print(A, "x"); flint_printf("\n");
nmod_poly_mat_print(Ainv, "x"); flint_printf("\n");
abort();
}
nmod_poly_mat_clear(A);
nmod_poly_mat_clear(Ainv);
nmod_poly_clear(den1);
nmod_poly_clear(den2);
}
/* Check A^(-1) = A = 1 */
for (i = 0; i < 100 * flint_test_multiplier(); i++)
{
nmod_poly_mat_t A, Ainv, B, Iden;
nmod_poly_t den, det;
slong n, deg;
float density;
int nonsingular;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
n = n_randint(state, 10);
deg = 1 + n_randint(state, 5);
density = n_randint(state, 100) * 0.01;
nmod_poly_mat_init(A, n, n, mod);
nmod_poly_mat_init(Ainv, n, n, mod);
nmod_poly_mat_init(B, n, n, mod);
nmod_poly_mat_init(Iden, n, n, mod);
nmod_poly_init(den, mod);
nmod_poly_init(det, mod);
nmod_poly_mat_randtest_sparse(A, state, deg, density);
nonsingular = nmod_poly_mat_inv(Ainv, den, A);
nmod_poly_mat_det_interpolate(det, A);
if (n == 0)
{
if (nonsingular == 0 || !nmod_poly_is_one(den))
{
flint_printf("FAIL: expected empty matrix to pass\n");
abort();
}
}
else
{
if (!nmod_poly_equal(den, det))
{
nmod_poly_neg(det, det);
flint_printf("FAIL: den != det(A)\n");
abort();
}
nmod_poly_mat_mul(B, Ainv, A);
nmod_poly_mat_one(Iden);
nmod_poly_mat_scalar_mul_nmod_poly(Iden, Iden, den);
if (!nmod_poly_mat_equal(B, Iden))
{
flint_printf("FAIL:\n");
flint_printf("A:\n");
nmod_poly_mat_print(A, "x");
flint_printf("Ainv:\n");
nmod_poly_mat_print(Ainv, "x");
flint_printf("B:\n");
nmod_poly_mat_print(B, "x");
flint_printf("den:\n");
nmod_poly_print(den);
abort();
}
}
nmod_poly_clear(den);
nmod_poly_clear(det);
nmod_poly_mat_clear(A);
nmod_poly_mat_clear(Ainv);
nmod_poly_mat_clear(B);
nmod_poly_mat_clear(Iden);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}