arb/arb_hypgeom/test/t-lgamma.c
2021-09-01 09:52:11 +02:00

118 lines
3.2 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("lgamma....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
arb_t z, s1, s2, a, b;
slong prec, ebits, prec2;
prec = 2 + n_randint(state, 200);
if (n_randint(state, 10) == 0)
prec = 2 + n_randint(state, 1000);
if (n_randint(state, 10) == 0)
ebits = 100;
else
ebits = 10;
ebits = 2;
prec2 = 2 + n_randint(state, 200);
arb_init(z);
arb_init(s1);
arb_init(s2);
arb_init(a);
arb_init(b);
arb_randtest(z, state, prec, ebits);
arb_randtest(s1, state, prec, 10);
arb_randtest(s2, state, prec, 10);
if (n_randint(state, 2))
{
arb_hypgeom_lgamma(s1, z, prec);
}
else
{
arb_set(s1, z);
arb_hypgeom_lgamma(s1, s1, prec);
}
arb_add_ui(s2, z, 1, prec2);
arb_hypgeom_lgamma(s2, s2, prec2);
arb_log(a, z, prec2);
arb_sub(s2, s2, a, prec2);
if (!arb_overlaps(s1, s2))
{
flint_printf("FAIL\n\n");
flint_printf("prec = %wd\n\n", prec);
flint_printf("z = "); arb_printn(z, 1000, 0); flint_printf("\n\n");
flint_printf("s1 = "); arb_printn(s1, 1000, 0); flint_printf("\n\n");
flint_printf("s2 = "); arb_printn(s2, 1000, 0); flint_printf("\n\n");
arb_sub(s1, s1, s2, prec2);
flint_printf("s1 - s2 = "); arb_printd(s1, 1000); flint_printf("\n\n");
flint_abort();
}
arb_set(a, z);
mag_zero(arb_radref(a));
if (n_randint(state, 2))
{
arf_set_mag(arb_midref(b), arb_radref(z));
if (n_randint(state, 2))
arb_neg(b, b);
arb_add(a, a, b, prec);
}
arb_hypgeom_lgamma(s2, a, prec);
if (!arb_overlaps(s1, s2))
{
flint_printf("FAIL (2)\n\n");
flint_printf("prec = %wd\n\n", prec);
flint_printf("z = "); arb_printn(z, 1000, 0); flint_printf("\n\n");
flint_printf("a = "); arb_printn(a, 1000, 0); flint_printf("\n\n");
flint_printf("s1 = "); arb_printn(s1, 1000, 0); flint_printf("\n\n");
flint_printf("s2 = "); arb_printn(s2, 1000, 0); flint_printf("\n\n");
arb_sub(s1, s1, s2, prec2);
flint_printf("s1 - s2 = "); arb_printd(s1, 1000); flint_printf("\n\n");
flint_abort();
}
arb_clear(z);
arb_clear(s1);
arb_clear(s2);
arb_clear(a);
arb_clear(b);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}