mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
97 lines
2.9 KiB
C
97 lines
2.9 KiB
C
/*=============================================================================
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This file is part of ARB.
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ARB is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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ARB is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with ARB; if not, write to the Free Software
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Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
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=============================================================================*/
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/******************************************************************************
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Copyright (C) 2015 Fredrik Johansson
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******************************************************************************/
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#include "arb_poly.h"
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int main()
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{
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slong iter;
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flint_rand_t state;
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printf("root_bound_fujiwara....");
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fflush(stdout);
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flint_randinit(state);
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for (iter = 0; iter < 10000; iter++)
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{
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arb_poly_t a;
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arb_ptr roots;
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arb_t t;
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mag_t mag1, mag2;
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slong i, deg, prec;
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prec = 10 + n_randint(state, 400);
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deg = n_randint(state, 10);
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arb_init(t);
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arb_poly_init(a);
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mag_init(mag1);
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mag_init(mag2);
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roots = _arb_vec_init(deg);
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for (i = 0; i < deg; i++)
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arb_randtest(roots + i, state, prec, 1 + n_randint(state, 20));
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arb_poly_product_roots(a, roots, deg, prec);
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arb_randtest(t, state, prec, 1 + n_randint(state, 20));
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_arb_vec_scalar_mul(a->coeffs, a->coeffs, a->length, t, prec);
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arb_poly_root_bound_fujiwara(mag1, a);
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for (i = 0; i < deg; i++)
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{
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arb_get_mag(mag2, roots + i);
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/* arb_get_mag gives an upper bound which due to rounding
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could be larger than mag1, so we pick a slightly
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smaller number */
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mag_mul_ui(mag2, mag2, 10000);
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mag_div_ui(mag2, mag2, 10001);
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if (mag_cmp(mag2, mag1) > 0)
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{
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printf("FAIL\n");
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printf("a = "); arb_poly_printd(a, 15); printf("\n\n");
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printf("root = "); arb_printd(roots + i, 15); printf("\n\n");
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printf("mag1 = "); mag_printd(mag1, 10); printf("\n\n");
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printf("mag2 = "); mag_printd(mag2, 10); printf("\n\n");
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abort();
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}
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}
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_arb_vec_clear(roots, deg);
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arb_clear(t);
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arb_poly_clear(a);
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mag_clear(mag1);
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mag_clear(mag2);
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}
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flint_randclear(state);
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flint_cleanup();
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printf("PASS\n");
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return EXIT_SUCCESS;
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}
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