arb/fmprb/test/t-zeta_ui_euler_product.c
2012-09-10 12:27:32 +02:00

81 lines
2.3 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) 2012 Fredrik Johansson
******************************************************************************/
#include "fmprb.h"
int main()
{
long iter;
flint_rand_t state;
printf("zeta_ui_euler_product....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000; iter++)
{
fmprb_t r;
ulong n;
mpfr_t s;
long prec, accuracy;
do { n = n_randint(state, 1 << n_randint(state, 10)); } while (n < 6);
prec = 2 + n_randint(state, 12 * n);
fmprb_init(r);
mpfr_init2(s, prec + 100);
fmprb_zeta_ui_euler_product(r, n, prec);
mpfr_zeta_ui(s, n, MPFR_RNDN);
if (!fmprb_contains_mpfr(r, s))
{
printf("FAIL: containment\n\n");
printf("n = %lu\n\n", n);
printf("r = "); fmprb_printd(r, prec / 3.33); printf("\n\n");
printf("s = "); mpfr_printf("%.275Rf\n", s); printf("\n\n");
abort();
}
accuracy = fmprb_rel_accuracy_bits(r);
if (accuracy < prec - 4)
{
printf("FAIL: accuracy = %ld, prec = %ld\n\n", accuracy, prec);
printf("r = "); fmprb_printd(r, prec / 3.33); printf("\n\n");
abort();
}
fmprb_clear(r);
mpfr_clear(s);
}
flint_randclear(state);
_fmpz_cleanup();
printf("PASS\n");
return EXIT_SUCCESS;
}