/* 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 . */ #include "arb_hypgeom.h" #include "acb_hypgeom.h" void acb_hypgeom_rising_ui_rec(acb_t res, const acb_t x, ulong n, slong prec) { if (n <= 1) { if (n == 0) acb_one(res); else acb_set_round(res, x, prec); return; } if (arb_is_zero(acb_imagref(x))) { arb_hypgeom_rising_ui_rec(acb_realref(res), acb_realref(x), n, prec); arb_zero(acb_imagref(res)); return; } if (n == 2 && prec <= 1024) { if (res != x) acb_set(res, x); acb_addmul(res, x, x, prec); return; } if (n <= 5 && prec <= 512) { acb_hypgeom_rising_ui_forward(res, x, n, prec); } else { if (n >= 20 && acb_bits(x) < prec / 8) acb_hypgeom_rising_ui_bs(res, x, n, prec); else acb_hypgeom_rising_ui_rs(res, x, n, 0, prec); } }