mirror of
https://github.com/vale981/arb
synced 2025-03-06 09:51:39 -05:00
86 lines
2.3 KiB
C
86 lines
2.3 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) 2013 Fredrik Johansson
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include "bernoulli.h"
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double log2bern_approx(double n)
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{
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return 1 + ((n+0.5)*log(n) - n - (n-0.5)*log(2*3.14159265358979323)) * (1. / log(2));
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}
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int main()
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{
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long i, bound;
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double a, b;
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fmpq_t q;
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fmpr_t t;
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printf("bound_2exp_si....");
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fflush(stdout);
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fmpq_init(q);
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fmpr_init(t);
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for (i = 0; i < 1000; i++)
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{
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arith_bernoulli_number(q, i);
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bound = bernoulli_bound_2exp_si(i);
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fmpr_set_round_fmpz(t, fmpq_numref(q), 32, FMPR_RND_UP);
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fmpr_div_fmpz(t, t, fmpq_denref(q), 32, FMPR_RND_UP);
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if (fmpr_cmpabs_2exp_si(t, bound) > 0)
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{
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printf("FAIL: %ld\n", i);
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fmpr_print(t); printf("\n\n");
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printf("%ld\n", bound); printf("\n\n");
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abort();
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}
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}
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fmpq_clear(q);
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fmpr_clear(t);
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for (i = 100; i < 4000000; i += 1)
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{
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i += (i & 1);
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a = bernoulli_bound_2exp_si(i);
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b = log2bern_approx(i);
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if (a < b || a > 1.01 * b)
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{
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printf("FAIL: %ld\n", i);
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printf("%ld: %f %f %f\n", i, a, b, (float) a / b);
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abort();
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}
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}
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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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