arb/arb_hypgeom/test/t-gamma_upper_integration.c
2021-12-10 18:12:01 +01:00

111 lines
3.8 KiB
C

/*
Copyright (C) 2021 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 "arb_hypgeom.h"
int main()
{
slong iter;
flint_rand_t state;
flint_printf("gamma_upper_integration....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 100 * arb_test_multiplier(); iter++)
{
arb_t a, z, r1, r2;
slong prec1, prec2;
int regularized;
prec1 = 2 + n_randint(state, 80);
prec2 = 2 + n_randint(state, 150);
arb_init(a);
arb_init(z);
arb_init(r1);
arb_init(r2);
regularized = n_randint(state, 3);
arb_randtest_precise(a, state, 1 + n_randint(state, 200), 1 + n_randint(state, 8));
arb_randtest_precise(z, state, 1 + n_randint(state, 200), 1 + n_randint(state, 8));
arb_randtest(r1, state, 1 + n_randint(state, 200), 1 + n_randint(state, 5));
arb_randtest(r2, state, 1 + n_randint(state, 200), 1 + n_randint(state, 5));
arb_add_ui(a, a, n_randint(state, 100), prec1 + 100);
arb_add_ui(z, z, n_randint(state, 100), prec1 + 100);
arb_hypgeom_gamma_upper_integration(r1, a, z, regularized, prec1);
if (arb_is_finite(r1))
{
if (n_randint(state, 2))
arb_hypgeom_gamma_upper_integration(r2, a, z, regularized, prec2);
else
arb_hypgeom_gamma_upper(r2, a, z, regularized, prec2);
if (!arb_overlaps(r1, r2))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("a = "); arb_printd(a, 30); flint_printf("\n\n");
flint_printf("z = "); arb_printd(z, 30); flint_printf("\n\n");
flint_printf("r1 = "); arb_printd(r1, 30); flint_printf("\n\n");
flint_printf("r2 = "); arb_printd(r2, 30); flint_printf("\n\n");
flint_abort();
}
}
if (iter == 0)
{
prec1 = 333;
arb_set_str(a, "5.25", prec1);
arb_set_str(z, "1.125", prec1);
arb_hypgeom_gamma_upper_integration(r1, a, z, 0, prec1);
arb_set_str(r2, "35.072486673952527119466762267780775062420879980812938235868074922070540736636294202721367124421387 +/- 5.01e-97", prec1);
if (!arb_overlaps(r1, r2) || arb_rel_accuracy_bits(r1) < arb_rel_accuracy_bits(r2) - 10)
{
flint_printf("FAIL: overlap (1)\n\n");
flint_printf("r1 = "); arb_printd(r1, 100); flint_printf("\n\n");
flint_printf("r2 = "); arb_printd(r2, 100); flint_printf("\n\n");
flint_abort();
}
arb_set_str(a, "-23515.25", prec1);
arb_set_str(z, "5118.125", prec1);
arb_hypgeom_gamma_upper_integration(r1, a, z, 0, prec1);
arb_set_str(r2, "1.2585189324946269645868452847608400602717904014578585865177198314407671242201776909963228597279e-89448 +/- 8.86e-89543", prec1);
if (!arb_overlaps(r1, r2) || arb_rel_accuracy_bits(r1) < arb_rel_accuracy_bits(r2) - 10)
{
flint_printf("FAIL: overlap (1)\n\n");
flint_printf("r1 = "); arb_printd(r1, 100); flint_printf("\n\n");
flint_printf("r2 = "); arb_printd(r2, 100); flint_printf("\n\n");
flint_abort();
}
}
arb_clear(a);
arb_clear(z);
arb_clear(r1);
arb_clear(r2);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}