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/*
Copyright (C) 2012 Fredrik Johansson
This file is part of Arb.
Arb is free software: you can redistribute it and/or modify it under
the terms of the GNU Lesser General Public License (LGPL) as published
by the Free Software Foundation; either version 2.1 of the License, or
(at your option) any later version. See <http://www.gnu.org/licenses/>.
*/
#include "acb_mat.h"
int
main(void)
{
slong iter;
flint_rand_t state;
flint_printf("charpoly....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
acb_mat_t A, B, C, D;
acb_poly_t f, g;
slong m, n;
m = n_randint(state, 8);
n = m;
acb_mat_init(A, m, n);
acb_mat_init(B, m, n);
acb_mat_init(C, m, m);
acb_mat_init(D, n, n);
acb_poly_init(f);
acb_poly_init(g);
acb_mat_randtest(A, state, 1 + n_randint(state, 1000), 10);
acb_mat_randtest(B, state, 1 + n_randint(state, 1000), 10);
acb_mat_mul(C, A, B, 2 + n_randint(state, 1000));
acb_mat_mul(D, B, A, 2 + n_randint(state, 1000));
acb_mat_charpoly(f, C, 2 + n_randint(state, 1000));
acb_mat_charpoly(g, D, 2 + n_randint(state, 1000));
if (!acb_poly_overlaps(f, g))
{
flint_printf("FAIL: charpoly(AB) != charpoly(BA).\n");
flint_printf("Matrix A:\n"), acb_mat_printd(A, 15), flint_printf("\n");
flint_printf("Matrix B:\n"), acb_mat_printd(B, 15), flint_printf("\n");
flint_printf("cp(AB) = "), acb_poly_printd(f, 15), flint_printf("\n");
flint_printf("cp(BA) = "), acb_poly_printd(g, 15), flint_printf("\n");
flint_abort();
}
acb_mat_clear(A);
acb_mat_clear(B);
acb_mat_clear(C);
acb_mat_clear(D);
acb_poly_clear(f);
acb_poly_clear(g);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return 0;
}
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