arb/arb_hypgeom/test/t-gamma_upper_sum_rs.c
2021-12-02 18:19:40 +01:00

86 lines
2.2 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("gamma_upper_sum_rs....");
fflush(stdout);
flint_randinit(state);
for (iter = 0; iter < 10000 * arb_test_multiplier(); iter++)
{
fmpq_t a;
ulong p, q;
arb_t z, r1, r2, s, t, u;
slong k, N, prec;
p = n_randint(state, 1000);
q = 1 + n_randint(state, 1000);
N = n_randint(state, 100);
prec = 2 + n_randint(state, 500);
fmpq_init(a);
fmpq_set_si(a, p, q);
arb_init(z);
arb_init(r1);
arb_init(r2);
arb_init(s);
arb_init(t);
arb_init(u);
arb_randtest(z, state, prec, 10);
_arb_hypgeom_gamma_upper_sum_rs_1(r1, p, q, z, N, prec);
arb_zero(s);
arb_one(t);
arb_set_fmpq(u, a, prec);
for (k = 0; k < N; k++)
{
arb_add(s, s, t, prec);
arb_div(t, t, z, prec);
arb_mul(t, t, u, prec);
arb_add_ui(u, u, 1, prec);
}
arb_set(r2, s);
if (!arb_overlaps(r1, r2))
{
flint_printf("FAIL: overlap\n\n");
flint_printf("N = %wd\n\n", N);
flint_printf("a = "); fmpq_print(a); flint_printf("\n\n");
flint_printf("z = "); arb_printn(z, 100, 0); flint_printf("\n\n");
flint_printf("r1 = "); arb_printn(r1, 100, 0); flint_printf("\n\n");
flint_printf("r2 = "); arb_printn(r2, 100, 0); flint_printf("\n\n");
flint_abort();
}
fmpq_clear(a);
arb_clear(z);
arb_clear(r1);
arb_clear(r2);
arb_clear(s);
arb_clear(t);
arb_clear(u);
}
flint_randclear(state);
flint_cleanup();
flint_printf("PASS\n");
return EXIT_SUCCESS;
}