/* * CDDL HEADER START * * The contents of this file are subject to the terms of the * Common Development and Distribution License (the "License"). * You may not use this file except in compliance with the License. * * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE * or http://www.opensolaris.org/os/licensing. * See the License for the specific language governing permissions * and limitations under the License. * * When distributing Covered Code, include this CDDL HEADER in each * file and include the License file at usr/src/OPENSOLARIS.LICENSE. * If applicable, add the following below this CDDL HEADER, with the * fields enclosed by brackets "[]" replaced with your own identifying * information: Portions Copyright [yyyy] [name of copyright owner] * * CDDL HEADER END */ /* * Copyright 2011 Nexenta Systems, Inc. All rights reserved. */ /* * Copyright 2006 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ #pragma weak __atanhl = atanhl #include "libm.h" #define GENERIC long double #define ATANH atanhl /* ATANH(x) * 1 2x x * ATANH(x) = --- * LOG(1 + -------) = 0.5 * LOG1P(2 * --------) * 2 1 - x 1 - x * Note: to guarantee ATANH(-x) = -ATANH(x), we use * sign(x) |x| * ATANH(x) = ------- * LOG1P(2*-------). * 2 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 FABS fabsl #define LOG1P log1pl #define COPYSIGN copysignl extern GENERIC FABS(),LOG1P(),COPYSIGN(); static GENERIC zero = (GENERIC) 0.0, half = (GENERIC) 0.5, one = (GENERIC) 1.0; GENERIC ATANH(x) GENERIC x; { GENERIC t; t = FABS(x); if (t == one) return x/zero; t = t/(one-t); return COPYSIGN(half,x)*LOG1P(t+t); }