arb/mag/test/t-hurwitz_zeta_uiui.c
2016-04-26 17:20:05 +02:00

81 lines
2 KiB
C

/*
Copyright (C) 2016 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 "mag.h"
#include "arb.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("hurwitz_zeta_uiui....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 1000 * arb_test_multiplier(); iter++)
{
mag_t zb;
slong prec, k;
ulong s, a;
arb_t t, r, z;
mag_init(zb);
arb_init(t);
arb_init(r);
arb_init(z);
mag_randtest_special(zb, state, 6);
s = n_randtest(state);
a = n_randtest(state);
prec = MAG_BITS + 2 * FLINT_BIT_COUNT(s);
mag_hurwitz_zeta_uiui(zb, s, a);
arb_zero(r);
for (k = 0; k < 50; k++)
{
arb_set_ui(t, a);
arb_add_ui(t, t, k, prec);
arb_pow_ui(t, t, s, prec);
arb_inv(t, t, prec);
arb_add(r, r, t, prec);
}
arb_zero(z);
mag_set(arb_radref(z), zb);
if (!arb_is_finite(z))
arb_indeterminate(z);
if (!arb_contains(z, r))
{
flint_printf("FAIL\n\n");
flint_printf("s = %wu\n\n", s);
flint_printf("a = %wd\n\n", a);
flint_printf("zb = "); mag_printd(zb, 15); flint_printf("\n\n");
flint_printf("z = "); arb_printd(z, 15); flint_printf("\n\n");
flint_printf("r = "); arb_printd(r, 15); flint_printf("\n\n");
abort();
}
mag_clear(zb);
arb_clear(t);
arb_clear(r);
arb_clear(z);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}