93 lines
2.7 KiB
C
93 lines
2.7 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
|
||
|
|
Copyright (C) 2012 Sebastian Pancratz
|
||
|
|
|
||
|
|
******************************************************************************/
|
||
|
|
|
||
|
|
#include <stdio.h>
|
||
|
|
#include <stdlib.h>
|
||
|
|
#include <gmp.h>
|
||
|
|
#include "flint.h"
|
||
|
|
#include "fmpz.h"
|
||
|
|
#include "fmpz_mat.h"
|
||
|
|
#include "ulong_extras.h"
|
||
|
|
|
||
|
|
int
|
||
|
|
main(void)
|
||
|
|
{
|
||
|
|
slong m, n, rep;
|
||
|
|
FLINT_TEST_INIT(state);
|
||
|
|
|
||
|
|
flint_printf("charpoly....");
|
||
|
|
fflush(stdout);
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
for (rep = 0; rep < 1000 * flint_test_multiplier(); rep++)
|
||
|
|
{
|
||
|
|
fmpz_mat_t A, B, C, D;
|
||
|
|
fmpz_poly_t f, g;
|
||
|
|
|
||
|
|
m = n_randint(state, 4);
|
||
|
|
n = m;
|
||
|
|
|
||
|
|
fmpz_mat_init(A, m, n);
|
||
|
|
fmpz_mat_init(B, m, n);
|
||
|
|
fmpz_mat_init(C, m, m);
|
||
|
|
fmpz_mat_init(D, n, n);
|
||
|
|
fmpz_poly_init(f);
|
||
|
|
fmpz_poly_init(g);
|
||
|
|
|
||
|
|
fmpz_mat_randtest(A, state, 10);
|
||
|
|
fmpz_mat_randtest(B, state, 10);
|
||
|
|
|
||
|
|
fmpz_mat_mul(C, A, B);
|
||
|
|
fmpz_mat_mul(D, B, A);
|
||
|
|
|
||
|
|
fmpz_mat_charpoly(f, C);
|
||
|
|
fmpz_mat_charpoly(g, D);
|
||
|
|
|
||
|
|
if (!fmpz_poly_equal(f, g))
|
||
|
|
{
|
||
|
|
flint_printf("FAIL: charpoly(AB) != charpoly(BA).\n");
|
||
|
|
flint_printf("Matrix A:\n"), fmpz_mat_print(A), flint_printf("\n");
|
||
|
|
flint_printf("Matrix B:\n"), fmpz_mat_print(B), flint_printf("\n");
|
||
|
|
flint_printf("cp(AB) = "), fmpz_poly_print_pretty(f, "X"), flint_printf("\n");
|
||
|
|
flint_printf("cp(BA) = "), fmpz_poly_print_pretty(g, "X"), flint_printf("\n");
|
||
|
|
abort();
|
||
|
|
}
|
||
|
|
|
||
|
|
fmpz_mat_clear(A);
|
||
|
|
fmpz_mat_clear(B);
|
||
|
|
fmpz_mat_clear(C);
|
||
|
|
fmpz_mat_clear(D);
|
||
|
|
fmpz_poly_clear(f);
|
||
|
|
fmpz_poly_clear(g);
|
||
|
|
}
|
||
|
|
|
||
|
|
FLINT_TEST_CLEANUP(state);
|
||
|
|
|
||
|
|
flint_printf("PASS\n");
|
||
|
|
return 0;
|
||
|
|
}
|