mirror of
https://github.com/vale981/arb
synced 2025-03-06 01:41:39 -05:00
97 lines
3 KiB
C
97 lines
3 KiB
C
/*=============================================================================
|
|
|
|
This file is part of ARB.
|
|
|
|
ARB 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.
|
|
|
|
ARB 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 ARB; if not, write to the Free Software
|
|
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
|
|
|
|
=============================================================================*/
|
|
/******************************************************************************
|
|
|
|
Copyright (C) 2015 Fredrik Johansson
|
|
|
|
******************************************************************************/
|
|
|
|
#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_vec_scalar_mul(a->coeffs, a->coeffs, a->length, 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");
|
|
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;
|
|
}
|
|
|