/* Copyright JS Foundation and other contributors, http://js.foundation * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * * This file is based on work under the following copyright and permission * notice: * * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunSoft, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * * @(#)e_atanh.c 1.3 95/01/18 */ #include "jerry-libm-internal.h" /* atanh(x) * Method : * 1.Reduced x to positive by atanh(-x) = -atanh(x) * 2.For x >= 0.5 * 1 2x x * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------) * 2 1 - x 1 - x * * For x < 0.5 * atanh(x) = 0.5 * log1p(2x + 2x * x / (1 - x)) * * Special cases: * atanh(x) is NaN if |x| > 1 with signal; * atanh(NaN) is that NaN with no signal; * atanh(+-1) is +-INF with signal. * */ #define zero 0.0 #define one 1.0 #define huge 1.0e+300 double atanh (double x) { double t; int hx, ix; double_accessor temp; temp.dbl = x; hx = temp.as_int.hi; ix = hx & 0x7fffffff; /* |x| > 1 */ if ((ix | ((unsigned int) (temp.as_int.lo | (-temp.as_int.lo)) >> 31)) > 0x3ff00000) { return NAN; } if (ix == 0x3ff00000) { return x / zero; } if (ix < 0x3e300000 && (huge + x) > zero) { return x; /* x<2**-28 */ } /* x <- |x| */ temp.as_int.hi = ix; if (ix < 0x3fe00000) { /* x < 0.5 */ t = temp.dbl + temp.dbl; t = 0.5 * log1p (t + t * temp.dbl / (one - temp.dbl)); } else { t = 0.5 * log1p ((temp.dbl + temp.dbl) / (one - temp.dbl)); } if (hx >= 0) { return t; } else { return -t; } } /* atanh */ #undef zero #undef one #undef huge