25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * CDDL HEADER START
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * The contents of this file are subject to the terms of the
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Common Development and Distribution License (the "License").
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You may not use this file except in compliance with the License.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * or http://www.opensolaris.org/os/licensing.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * See the License for the specific language governing permissions
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25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2011 Nexenta Systems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Copyright 2006 Sun Microsystems, Inc. All rights reserved.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Use is subject to license terms.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * RETURN THE HYPERBOLIC SINE OF X
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * 1. reduce x to non-negative by SINH(-x) = - SINH(x).
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * EXPM1(x) + EXPM1(x)/(EXPM1(x)+1)
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * 0 <= x <= lnovft : SINH(x) := --------------------------------
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * lnovft <= x < INF : SINH(x) := EXP(x-MEP1*ln2)*2**ME
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * lnovft logarithm of the overflow threshold
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * = MEP1*ln2 chopped to machine precision.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * ME maximum exponent
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * MEP1 maximum exponent plus 1
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * Special cases:
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * SINH(x) is x if x is +INF, -INF, or NaN.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis * only SINH(0)=0 is exact for finite argument.
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtisstatic const long double C[] = {
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 1.135652340629414394879149e+04L,
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis 7.004447686242549087858985e-16L
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis long double r, t;
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis return (x + x); /* x is INF or NaN */
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis r = copysignl((t + t / (one + t)) * half, x);
25c28e83beb90e7c80452a7c818c5e6f73a07dc8Piotr Jasiukajtis r = copysignl(expl((r - lnovft) - lnovlo), x);