/* * 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 2005 Sun Microsystems, Inc. All rights reserved. * Use is subject to license terms. */ #pragma weak cosh = __cosh /* INDENT OFF */ /* * cosh(x) * Code originated from 4.3bsd. * Modified by K.C. Ng for SUN 4.0 libm. * Method : * 1. Replace x by |x| (cosh(x) = cosh(-x)). * 2. * [ exp(x) - 1 ]^2 * 0 <= x <= 0.3465 : cosh(x) := 1 + ------------------- * 2*exp(x) * * exp(x) + 1/exp(x) * 0.3465 <= x <= 22 : cosh(x) := ------------------- * 2 * 22 <= x <= lnovft : cosh(x) := exp(x)/2 * lnovft <= x < INF : cosh(x) := scalbn(exp(x-1024*ln2),1023) * * Note: .3465 is a number near one half of ln2. * * Special cases: * cosh(x) is |x| if x is +INF, -INF, or NaN. * only cosh(0)=1 is exact for finite x. */ /* INDENT ON */ #include "libm.h" static const double ln2 = 6.93147180559945286227e-01, ln2hi = 6.93147180369123816490e-01, ln2lo = 1.90821492927058770002e-10, lnovft = 7.09782712893383973096e+02; double cosh(double x) { double t, w; w = fabs(x); if (!finite(w)) return (w * w); if (w < 0.3465) { t = expm1(w); w = 1.0 + t; if (w != 1.0) w = 1.0 + (t * t) / (w + w); return (w); } else if (w < 22.0) { t = exp(w); return (0.5 * (t + 1.0 / t)); } else if (w <= lnovft) { return (0.5 * exp(w)); } else { w = (w - 1024 * ln2hi) - 1024 * ln2lo; if (w >= ln2) return (_SVID_libm_err(x, x, 5)); else return (scalbn(exp(w), 1023)); } }