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/*
Copyright (C) 2020 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()
{
/* Check a specific combination of parameter values that is relatively fast
* to evaluate and that has relatively tight bounds. */
slong A, B, J, K, sigma_grid, Ns_max, sigma_interp;
arb_t h, H;
fmpz_t T, n;
arb_ptr pa, pb;
slong count, i;
slong maxcount = 50;
slong prec = 128;
flint_printf("platt_local_hardy_z_zeros....");
fflush(stdout);
arb_init(h);
arb_init(H);
fmpz_init(T);
fmpz_init(n);
pa = _arb_vec_init(maxcount);
pb = _arb_vec_init(maxcount);
fmpz_set_si(n, 10142);
/* parameters related to the location/resolution/width of the grid */
fmpz_set_si(T, 10000);
A = 8;
B = 128;
/* tuning parameters for the evaluation of grid points */
J = 1000;
K = 30;
sigma_grid = 63;
arb_set_d(h, 4.5);
/* tuning parameters for interpolation on the grid */
Ns_max = 200;
sigma_interp = 21;
arb_one(H);
count = _acb_dirichlet_platt_local_hardy_z_zeros(pa, n, maxcount,
T, A, B, h, J, K, sigma_grid, Ns_max, H, sigma_interp, prec);
acb_dirichlet_hardy_z_zeros(pb, n, count, prec);
if (count != maxcount)
{
flint_printf("FAIL: not enough zeros were isolated\n\n");
flint_printf("count = %wd maxcount = %wd\n\n", count, maxcount);
flint_abort();
}
for (i = 0; i < count; i++)
{
if (!arb_overlaps(pa+i, pb+i))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("observed[%wd] = ", i);
arb_printd(pa+i, 20); flint_printf("\n\n");
flint_printf("expected[%wd] = ", i);
arb_printd(pb+i, 20); flint_printf("\n\n");
flint_abort();
}
}
arb_clear(h);
arb_clear(H);
fmpz_clear(T);
fmpz_clear(n);
_arb_vec_clear(pa, maxcount);
_arb_vec_clear(pb, maxcount);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}
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