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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"
static void
_check_interval(const arf_t a, const arf_t b, const fmpz_t n)
{
arb_t v;
int sa, sb;
slong prec = arf_bits(b) + 8;
arb_init(v);
if (arf_cmp(a, b) >= 0)
{
flint_printf("FAIL: interval endpoint ordering\n\n");
flint_printf("n = "); fmpz_print(n); flint_printf("\n\n");
flint_printf("a = "); arf_print(a); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_abort();
}
sa = _acb_dirichlet_definite_hardy_z(v, a, &prec);
sb = _acb_dirichlet_definite_hardy_z(v, b, &prec);
if (sa == sb)
{
flint_printf("FAIL: interval endpoint function signs\n\n");
flint_printf("n = "); fmpz_print(n); flint_printf("\n\n");
flint_printf("a = "); arf_print(a); flint_printf("\n\n");
flint_printf("b = "); arf_print(b); flint_printf("\n\n");
flint_printf("sa = %d\n\n", sa);
flint_printf("sb = %d\n\n", sb);
flint_abort();
}
arb_clear(v);
}
int main()
{
slong iter;
flint_rand_t state;
flint_printf("isolate_hardy_z_zero....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 126 + 20 * arb_test_multiplier(); iter++)
{
arf_t a, b;
fmpz_t n;
arf_init(a);
arf_init(b);
fmpz_init(n);
if (iter < 126)
{
fmpz_set_si(n, iter + 1);
}
else
{
fmpz_randtest_unsigned(n, state, 20);
fmpz_add_ui(n, n, 127);
}
acb_dirichlet_isolate_hardy_z_zero(a, b, n);
_check_interval(a, b, n);
if (fmpz_cmp_si(n, 126) <= 0)
{
_acb_dirichlet_isolate_gram_hardy_z_zero(a, b, n);
_check_interval(a, b, n);
}
if (fmpz_cmp_si(n, 13999526) <= 0)
{
_acb_dirichlet_isolate_rosser_hardy_z_zero(a, b, n);
_check_interval(a, b, n);
}
if (fmpz_cmp_si(n, 2) >= 0)
{
_acb_dirichlet_isolate_turing_hardy_z_zero(a, b, n);
_check_interval(a, b, n);
}
arf_clear(a);
arf_clear(b);
fmpz_clear(n);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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