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/*
Copyright (C) 2017 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 "acb_dirichlet.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("hurwitz....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 3000 * arb_test_multiplier(); iter++)
{
acb_t s, a, b, z1, z2;
slong prec1, prec2;
acb_init(s);
acb_init(a);
acb_init(b);
acb_init(z1);
acb_init(z2);
prec1 = 2 + n_randint(state, 200);
prec2 = 2 + n_randint(state, 200);
acb_randtest(s, state, 1 + n_randint(state, 500), 3);
acb_randtest(a, state, 1 + n_randint(state, 500), 3);
acb_randtest(b, state, 1 + n_randint(state, 500), 10);
acb_randtest(z1, state, 1 + n_randint(state, 500), 10);
acb_randtest(z2, state, 1 + n_randint(state, 500), 10);
if (n_randint(state, 2))
acb_set_si(a, n_randint(state, 100) - 50);
if (n_randint(state, 2))
acb_set_si(s, n_randint(state, 100) - 50);
/* test zeta(s,a) = 2^(-s) (zeta(s,a/2) + zeta(s,(a+1)/2)) */
acb_mul_2exp_si(b, a, -1);
acb_dirichlet_hurwitz(z2, s, b, prec2);
acb_add_ui(b, a, 1, prec2);
acb_mul_2exp_si(b, b, -1);
acb_dirichlet_hurwitz(b, s, b, prec2);
acb_add(z2, z2, b, prec2);
acb_neg(b, s);
acb_set_ui(z1, 2);
acb_pow(b, z1, b, prec2);
acb_mul(z2, z2, b, prec2);
acb_dirichlet_hurwitz(z1, s, a, prec1);
if (!acb_overlaps(z1, z2))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("s = "); acb_printd(s, 30); flint_printf("\n\n");
flint_printf("a = "); acb_printd(a, 30); flint_printf("\n\n");
flint_printf("z1 = "); acb_printd(z1, 30); flint_printf("\n\n");
flint_printf("z2 = "); acb_printd(z2, 30); flint_printf("\n\n");
flint_abort();
}
acb_clear(s);
acb_clear(a);
acb_clear(b);
acb_clear(z1);
acb_clear(z2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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