mirror of
https://github.com/vale981/arb
synced 2025-03-05 17:31:38 -05:00
139 lines
4.4 KiB
C
139 lines
4.4 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 "acb_hypgeom.h"
|
|
|
|
int main()
|
|
{
|
|
slong iter;
|
|
flint_rand_t state;
|
|
|
|
flint_printf("gamma_taylor....");
|
|
fflush(stdout);
|
|
|
|
flint_randinit(state);
|
|
|
|
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
|
|
{
|
|
acb_t x, s1, s2, a, b;
|
|
slong prec, ebits, prec2;
|
|
int success, success2, alias, reciprocal;
|
|
|
|
if (n_randint(state, 10) == 0)
|
|
prec = 2 + n_randint(state, 4000);
|
|
else
|
|
prec = 2 + n_randint(state, 300);
|
|
|
|
if (n_randint(state, 10) == 0)
|
|
ebits = 100;
|
|
else
|
|
ebits = 10;
|
|
|
|
prec2 = prec + 1 + n_randint(state, 30);
|
|
|
|
acb_init(x);
|
|
acb_init(s1);
|
|
acb_init(s2);
|
|
acb_init(a);
|
|
acb_init(b);
|
|
|
|
acb_randtest(x, state, prec, ebits);
|
|
acb_randtest(s1, state, prec, 10);
|
|
acb_randtest(s2, state, prec, 10);
|
|
alias = n_randint(state, 2);
|
|
reciprocal = n_randint(state, 2);
|
|
|
|
if (alias)
|
|
{
|
|
success = acb_hypgeom_gamma_taylor(s1, x, reciprocal, prec);
|
|
}
|
|
else
|
|
{
|
|
acb_set(s1, x);
|
|
success = acb_hypgeom_gamma_taylor(s1, s1, reciprocal, prec);
|
|
}
|
|
|
|
if (success)
|
|
{
|
|
/* printf("%ld\n", iter); */
|
|
|
|
/* Compare with Stirling series algorithm. */
|
|
acb_hypgeom_gamma_stirling(s2, x, reciprocal, prec);
|
|
|
|
if (!acb_overlaps(s1, s2))
|
|
{
|
|
flint_printf("FAIL\n\n");
|
|
flint_printf("prec = %wd\n\n", prec);
|
|
flint_printf("x = "); acb_printn(x, 1000, 0); flint_printf("\n\n");
|
|
flint_printf("s1 = "); acb_printn(s1, 1000, 0); flint_printf("\n\n");
|
|
flint_printf("s2 = "); acb_printn(s2, 1000, 0); flint_printf("\n\n");
|
|
acb_sub(s1, s1, s2, prec2);
|
|
flint_printf("s1 - s2 = "); acb_printd(s1, 1000); flint_printf("\n\n");
|
|
flint_abort();
|
|
}
|
|
|
|
/* Compare with different level of precision. */
|
|
success2 = acb_hypgeom_gamma_taylor(s2, x, reciprocal, prec2);
|
|
|
|
if (success2 && !acb_overlaps(s1, s2))
|
|
{
|
|
flint_printf("FAIL (2)\n\n");
|
|
flint_printf("prec = %wd\n\n", prec);
|
|
flint_printf("x = "); acb_printn(x, 1000, 0); flint_printf("\n\n");
|
|
flint_printf("s1 = "); acb_printn(s1, 1000, 0); flint_printf("\n\n");
|
|
flint_printf("s2 = "); acb_printn(s2, 1000, 0); flint_printf("\n\n");
|
|
acb_sub(s1, s1, s2, prec2);
|
|
flint_printf("s1 - s2 = "); acb_printn(s1, 1000, 0); flint_printf("\n\n");
|
|
flint_abort();
|
|
}
|
|
|
|
acb_get_mid(a, x);
|
|
|
|
if (n_randint(state, 2))
|
|
{
|
|
arf_set_mag(arb_midref(acb_realref(b)), arb_radref(acb_realref(x)));
|
|
arf_set_mag(arb_midref(acb_imagref(b)), arb_radref(acb_imagref(x)));
|
|
|
|
if (n_randint(state, 2))
|
|
acb_neg(b, b);
|
|
if (n_randint(state, 2))
|
|
acb_conj(b, b);
|
|
|
|
acb_add(a, a, b, prec2);
|
|
}
|
|
|
|
success2 = acb_hypgeom_gamma_taylor(s2, a, reciprocal, prec2);
|
|
|
|
if (success2 && !acb_overlaps(s1, s2))
|
|
{
|
|
flint_printf("FAIL (3)\n\n");
|
|
flint_printf("prec = %wd\n\n", prec);
|
|
flint_printf("x = "); acb_printn(x, 1000, 0); flint_printf("\n\n");
|
|
flint_printf("s1 = "); acb_printn(s1, 1000, 0); flint_printf("\n\n");
|
|
flint_printf("s2 = "); acb_printn(s2, 1000, 0); flint_printf("\n\n");
|
|
acb_sub(s1, s1, s2, prec2);
|
|
flint_printf("s1 - s2 = "); acb_printn(s1, 1000, 0); flint_printf("\n\n");
|
|
flint_abort();
|
|
}
|
|
}
|
|
|
|
acb_clear(x);
|
|
acb_clear(s1);
|
|
acb_clear(s2);
|
|
acb_clear(a);
|
|
acb_clear(b);
|
|
}
|
|
|
|
flint_randclear(state);
|
|
flint_cleanup();
|
|
flint_printf("PASS\n");
|
|
return EXIT_SUCCESS;
|
|
}
|