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/*
Copyright (C) 2018 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("companion....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100 * arb_test_multiplier(); iter++)
{
acb_mat_t A;
acb_poly_t f, g;
slong n, prec;
acb_poly_init(f);
acb_poly_init(g);
do {
acb_poly_randtest(f, state, 1 + n_randint(state, 8), 1 + n_randint(state, 1000), 10);
} while (acb_poly_degree(f) < 0);
n = acb_poly_degree(f);
prec = 2 + n_randint(state, 200);
acb_mat_init(A, n, n);
acb_mat_randtest(A, state, 1 + n_randint(state, 1000), 10);
acb_mat_companion(A, f, prec);
acb_mat_charpoly(g, A, prec);
acb_poly_scalar_mul(g, g, acb_poly_get_coeff_ptr(f, n), prec);
if (!acb_poly_contains(g, f))
{
flint_printf("FAIL\n");
flint_printf("A:\n"), acb_mat_printd(A, 15), flint_printf("\n");
flint_printf("f:\n"), acb_poly_printd(f, 15), flint_printf("\n");
flint_printf("g:\n"), acb_poly_printd(g, 15), flint_printf("\n");
flint_abort();
}
acb_mat_clear(A);
acb_poly_clear(f);
acb_poly_clear(g);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return 0;
}
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