/*============================================================================= This file is part of ARB. ARB is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. ARB is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with ARB; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA =============================================================================*/ /****************************************************************************** Copyright (C) 2014 Fredrik Johansson ******************************************************************************/ #include "acb_hypgeom.h" int acb_hypgeom_u_use_asymp(const acb_t z, slong prec) { double x, y; if ((arf_cmpabs_2exp_si(arb_midref(acb_realref(z)), 0) < 0 && arf_cmpabs_2exp_si(arb_midref(acb_imagref(z)), 0) < 0)) { return 0; } if ((arf_cmpabs_2exp_si(arb_midref(acb_realref(z)), 64) > 0 || arf_cmpabs_2exp_si(arb_midref(acb_imagref(z)), 64) > 0)) { return 1; } x = arf_get_d(arb_midref(acb_realref(z)), ARF_RND_DOWN); y = arf_get_d(arb_midref(acb_imagref(z)), ARF_RND_DOWN); return sqrt(x * x + y * y) > prec * 0.69314718055994530942; }