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/*
Copyright (C) 2019 D.H.J. Polymath
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("zeta_zero....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 200 * arb_test_multiplier(); iter++)
{
acb_t v1, v2, z1, z2;
fmpz_t n, m;
slong prec1, prec2;
acb_init(v1);
acb_init(v2);
acb_init(z1);
acb_init(z2);
fmpz_init(n);
fmpz_init(m);
fmpz_randtest_unsigned(n, state, 20);
fmpz_add_ui(n, n, 1);
if (n_randint(state, 10) != 0)
{
prec1 = 2 + n_randtest(state) % 50;
prec2 = 2 + n_randtest(state) % 200;
}
else
{
prec1 = 2 + n_randtest(state) % 200;
prec2 = 2 + n_randtest(state) % 600;
}
acb_dirichlet_zeta_zero(z1, n, prec1);
acb_dirichlet_zeta_zero(z2, n, prec2);
acb_dirichlet_zeta(v1, z1, prec1 + 20);
acb_dirichlet_zeta(v2, z2, prec2 + 20);
if (!acb_overlaps(z1, z2) || !acb_contains_zero(v1) || !acb_contains_zero(v2))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("n = "); fmpz_print(n);
flint_printf(" prec1 = %wd prec2 = %wd\n\n", prec1, prec2);
flint_printf("z1 = "); acb_printn(z1, 100, 0); flint_printf("\n\n");
flint_printf("z2 = "); acb_printn(z2, 100, 0); flint_printf("\n\n");
flint_printf("v1 = "); acb_printn(v1, 100, 0); flint_printf("\n\n");
flint_printf("v2 = "); acb_printn(v2, 100, 0); flint_printf("\n\n");
flint_abort();
}
if (acb_rel_accuracy_bits(z1) < prec1 - 3 || acb_rel_accuracy_bits(z2) < prec2 - 3)
{
flint_printf("FAIL: accuracy\n\n");
flint_printf("n = "); fmpz_print(n);
flint_printf(" prec1 = %wd prec2 = %wd\n\n", prec1, prec2);
flint_printf("acc(z1) = %wd, acc(z2) = %wd\n\n", acb_rel_accuracy_bits(z1), acb_rel_accuracy_bits(z2));
flint_printf("z1 = "); acb_printn(z1, 100, 0); flint_printf("\n\n");
flint_printf("z2 = "); acb_printn(z2, 100, 0); flint_printf("\n\n");
flint_abort();
}
acb_clear(z1);
acb_clear(z2);
acb_clear(v1);
acb_clear(v2);
fmpz_clear(n);
fmpz_clear(m);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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