125c28e83SPiotr Jasiukajtis /* 225c28e83SPiotr Jasiukajtis * CDDL HEADER START 325c28e83SPiotr Jasiukajtis * 425c28e83SPiotr Jasiukajtis * The contents of this file are subject to the terms of the 525c28e83SPiotr Jasiukajtis * Common Development and Distribution License (the "License"). 625c28e83SPiotr Jasiukajtis * You may not use this file except in compliance with the License. 725c28e83SPiotr Jasiukajtis * 825c28e83SPiotr Jasiukajtis * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE 925c28e83SPiotr Jasiukajtis * or http://www.opensolaris.org/os/licensing. 1025c28e83SPiotr Jasiukajtis * See the License for the specific language governing permissions 1125c28e83SPiotr Jasiukajtis * and limitations under the License. 1225c28e83SPiotr Jasiukajtis * 1325c28e83SPiotr Jasiukajtis * When distributing Covered Code, include this CDDL HEADER in each 1425c28e83SPiotr Jasiukajtis * file and include the License file at usr/src/OPENSOLARIS.LICENSE. 1525c28e83SPiotr Jasiukajtis * If applicable, add the following below this CDDL HEADER, with the 1625c28e83SPiotr Jasiukajtis * fields enclosed by brackets "[]" replaced with your own identifying 1725c28e83SPiotr Jasiukajtis * information: Portions Copyright [yyyy] [name of copyright owner] 1825c28e83SPiotr Jasiukajtis * 1925c28e83SPiotr Jasiukajtis * CDDL HEADER END 2025c28e83SPiotr Jasiukajtis */ 2125c28e83SPiotr Jasiukajtis 2225c28e83SPiotr Jasiukajtis /* 2325c28e83SPiotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc. All rights reserved. 2425c28e83SPiotr Jasiukajtis */ 2525c28e83SPiotr Jasiukajtis /* 2625c28e83SPiotr Jasiukajtis * Copyright 2006 Sun Microsystems, Inc. All rights reserved. 2725c28e83SPiotr Jasiukajtis * Use is subject to license terms. 2825c28e83SPiotr Jasiukajtis */ 2925c28e83SPiotr Jasiukajtis 30*ddc0e0b5SRichard Lowe #pragma weak __sinhl = sinhl 3125c28e83SPiotr Jasiukajtis 3225c28e83SPiotr Jasiukajtis #include "libm.h" 3325c28e83SPiotr Jasiukajtis #include "longdouble.h" 3425c28e83SPiotr Jasiukajtis 3525c28e83SPiotr Jasiukajtis /* 3625c28e83SPiotr Jasiukajtis * sinhl(X) 3725c28e83SPiotr Jasiukajtis * RETURN THE HYPERBOLIC SINE OF X 3825c28e83SPiotr Jasiukajtis * 3925c28e83SPiotr Jasiukajtis * Method : 4025c28e83SPiotr Jasiukajtis * 1. reduce x to non-negative by sinhl(-x) = - sinhl(x). 4125c28e83SPiotr Jasiukajtis * 2. 4225c28e83SPiotr Jasiukajtis * 4325c28e83SPiotr Jasiukajtis * expm1l(x) + expm1l(x)/(expm1l(x)+1) 4425c28e83SPiotr Jasiukajtis * 0 <= x <= lnovft : sinhl(x) := -------------------------------- 4525c28e83SPiotr Jasiukajtis * 2 4625c28e83SPiotr Jasiukajtis * 4725c28e83SPiotr Jasiukajtis * lnovft <= x < INF : sinhl(x) := expl(x-MEP1*ln2)*2**ME 4825c28e83SPiotr Jasiukajtis * 4925c28e83SPiotr Jasiukajtis * here 5025c28e83SPiotr Jasiukajtis * lnovft: logrithm of the overflow threshold 5125c28e83SPiotr Jasiukajtis * = MEP1*ln2 chopped to machine precision. 5225c28e83SPiotr Jasiukajtis * ME maximum exponent 5325c28e83SPiotr Jasiukajtis * MEP1 maximum exponent plus 1 5425c28e83SPiotr Jasiukajtis * 5525c28e83SPiotr Jasiukajtis * Special cases: 5625c28e83SPiotr Jasiukajtis * sinhl(x) is x if x is +INF, -INF, or NaN. 5725c28e83SPiotr Jasiukajtis * only sinhl(0)=0 is exact for finite argument. 5825c28e83SPiotr Jasiukajtis * 5925c28e83SPiotr Jasiukajtis */ 6025c28e83SPiotr Jasiukajtis 6125c28e83SPiotr Jasiukajtis #define ME 16383 6225c28e83SPiotr Jasiukajtis #define MEP1 16384 6325c28e83SPiotr Jasiukajtis #define LNOVFT 1.135652340629414394949193107797076342845e+4L 6425c28e83SPiotr Jasiukajtis /* last 32 bits of LN2HI is zero */ 6525c28e83SPiotr Jasiukajtis #define LN2HI 6.931471805599453094172319547495844850203e-0001L 6625c28e83SPiotr Jasiukajtis #define LN2LO 1.667085920830552208890449330400379754169e-0025L 6725c28e83SPiotr Jasiukajtis 6825c28e83SPiotr Jasiukajtis static const long double 6925c28e83SPiotr Jasiukajtis half = 0.5L, 7025c28e83SPiotr Jasiukajtis one = 1.0L, 7125c28e83SPiotr Jasiukajtis ln2hi = LN2HI, 7225c28e83SPiotr Jasiukajtis ln2lo = LN2LO, 7325c28e83SPiotr Jasiukajtis lnovftL = LNOVFT; 7425c28e83SPiotr Jasiukajtis 7525c28e83SPiotr Jasiukajtis long double 7625c28e83SPiotr Jasiukajtis sinhl(long double x) { 7725c28e83SPiotr Jasiukajtis long double r, t; 7825c28e83SPiotr Jasiukajtis 7925c28e83SPiotr Jasiukajtis if (!finitel(x)) 8025c28e83SPiotr Jasiukajtis return (x + x); /* sinh of NaN or +-INF is itself */ 8125c28e83SPiotr Jasiukajtis r = fabsl(x); 8225c28e83SPiotr Jasiukajtis if (r < lnovftL) { 8325c28e83SPiotr Jasiukajtis t = expm1l(r); 8425c28e83SPiotr Jasiukajtis r = copysignl((t + t / (one + t)) * half, x); 8525c28e83SPiotr Jasiukajtis } else { 8625c28e83SPiotr Jasiukajtis r = copysignl(expl((r - MEP1 * ln2hi) - MEP1 * ln2lo), x); 8725c28e83SPiotr Jasiukajtis r = scalbnl(r, ME); 8825c28e83SPiotr Jasiukajtis } 8925c28e83SPiotr Jasiukajtis return (r); 9025c28e83SPiotr Jasiukajtis } 91