mirror of
https://github.com/vale981/arb
synced 2025-03-05 09:21:38 -05:00
44 lines
1.2 KiB
C
44 lines
1.2 KiB
C
/*
|
|
Copyright (C) 2017 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"
|
|
#include "acb_hypgeom.h"
|
|
|
|
void
|
|
arb_hypgeom_legendre_p(arb_t res, const arb_t n, const arb_t m, const arb_t z, int type, slong prec)
|
|
{
|
|
if (arb_is_zero(m) && arb_is_int(n) && arf_sgn(arb_midref(n)) >= 0 &&
|
|
arf_cmpabs_2exp_si(arb_midref(n), FLINT_BITS - 1) < 0)
|
|
{
|
|
arb_hypgeom_legendre_p_ui(res, NULL,
|
|
arf_get_si(arb_midref(n), ARF_RND_DOWN), z, prec);
|
|
}
|
|
else
|
|
{
|
|
acb_t t, u, v;
|
|
acb_init(t);
|
|
acb_init(u);
|
|
acb_init(v);
|
|
arb_set(acb_realref(t), n);
|
|
arb_set(acb_realref(u), m);
|
|
arb_set(acb_realref(v), z);
|
|
acb_hypgeom_legendre_p(t, t, u, v, type, prec);
|
|
if (acb_is_finite(t) && acb_is_real(t))
|
|
arb_swap(res, acb_realref(t));
|
|
else
|
|
arb_indeterminate(res);
|
|
acb_clear(t);
|
|
acb_clear(u);
|
|
acb_clear(v);
|
|
}
|
|
}
|
|
|
|
|