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/*
Copyright (C) 2015 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_poly.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("root_bound_fujiwara....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
acb_poly_t a;
acb_ptr roots;
acb_t t;
mag_t mag1, mag2;
slong i, deg, prec;
prec = 10 + n_randint(state, 400);
deg = n_randint(state, 10);
acb_init(t);
acb_poly_init(a);
mag_init(mag1);
mag_init(mag2);
roots = _acb_vec_init(deg);
for (i = 0; i < deg; i++)
acb_randtest(roots + i, state, prec, 1 + n_randint(state, 20));
acb_poly_product_roots(a, roots, deg, prec);
acb_randtest(t, state, prec, 1 + n_randint(state, 20));
acb_poly_scalar_mul(a, a, t, prec);
acb_poly_root_bound_fujiwara(mag1, a);
for (i = 0; i < deg; i++)
{
acb_get_mag(mag2, roots + i);
/* acb_get_mag gives an upper bound which due to rounding
could be larger than mag1, so we pick a slightly
smaller number */
mag_mul_ui(mag2, mag2, 10000);
mag_div_ui(mag2, mag2, 10001);
if (mag_cmp(mag2, mag1) > 0)
{
flint_printf("FAIL\n");
flint_printf("a = "); acb_poly_printd(a, 15); flint_printf("\n\n");
flint_printf("root = "); acb_printd(roots + i, 15); flint_printf("\n\n");
flint_printf("mag1 = "); mag_printd(mag1, 10); flint_printf("\n\n");
flint_printf("mag2 = "); mag_printd(mag2, 10); flint_printf("\n\n");
flint_abort();
}
}
_acb_vec_clear(roots, deg);
acb_clear(t);
acb_poly_clear(a);
mag_clear(mag1);
mag_clear(mag2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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