/* * 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 __sinhl = sinhl #include "libm.h" #include "longdouble.h" /* SINH(X) * RETURN THE HYPERBOLIC SINE OF X * * Method : * 1. reduce x to non-negative by SINH(-x) = - SINH(x). * 2. * * EXPM1(x) + EXPM1(x)/(EXPM1(x)+1) * 0 <= x <= lnovft : SINH(x) := -------------------------------- * 2 * * lnovft <= x < INF : SINH(x) := EXP(x-MEP1*ln2)*2**ME * * here * lnovft logarithm of the overflow threshold * = MEP1*ln2 chopped to machine precision. * ME maximum exponent * MEP1 maximum exponent plus 1 * * Special cases: * SINH(x) is x if x is +INF, -INF, or NaN. * only SINH(0)=0 is exact for finite argument. * */ static const long double C[] = { 0.5L, 1.0L, 1.135652340629414394879149e+04L, 7.004447686242549087858985e-16L }; #define half C[0] #define one C[1] #define lnovft C[2] #define lnovlo C[3] long double sinhl(long double x) { long double r, t; if (!finitel(x)) return (x + x); /* x is INF or NaN */ r = fabsl(x); if (r < lnovft) { t = expm1l(r); r = copysignl((t + t / (one + t)) * half, x); } else { r = copysignl(expl((r - lnovft) - lnovlo), x); r = scalbnl(r, 16383); } return (r); }