arb/arb_hypgeom/rising_ui_bs.c
2021-07-11 08:06:18 +02:00

69 lines
1.4 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 "arb_hypgeom.h"
static void
bsplit(arb_t y, const arb_t x, ulong a, ulong b, slong prec)
{
if (b - a <= 16)
{
if (a == 0)
{
arb_hypgeom_rising_ui_forward(y, x, b, prec);
}
else
{
arb_add_ui(y, x, a, prec);
arb_hypgeom_rising_ui_forward(y, y, b - a, prec);
}
}
else
{
arb_t t, u;
ulong m = a + (b - a) / 2;
arb_init(t);
arb_init(u);
bsplit(t, x, a, m, prec);
bsplit(u, x, m, b, prec);
arb_mul(y, t, u, prec);
arb_clear(t);
arb_clear(u);
}
}
void
arb_hypgeom_rising_ui_bs(arb_t res, const arb_t x, ulong n, slong prec)
{
if (n <= 1)
{
if (n == 0)
arb_one(res);
else
arb_set_round(res, x, prec);
return;
}
{
arb_t t;
slong wp = ARF_PREC_ADD(prec, FLINT_BIT_COUNT(n));
arb_init(t);
bsplit(t, x, 0, n, wp);
arb_set_round(res, t, prec);
arb_clear(t);
}
}