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Diffstat (limited to 'usr/src/lib/libm/common/Q/sinhl.c')
-rw-r--r-- | usr/src/lib/libm/common/Q/sinhl.c | 90 |
1 files changed, 90 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/Q/sinhl.c b/usr/src/lib/libm/common/Q/sinhl.c new file mode 100644 index 0000000000..dc37e457a7 --- /dev/null +++ b/usr/src/lib/libm/common/Q/sinhl.c @@ -0,0 +1,90 @@ +/* + * 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" + +/* + * sinhl(X) + * RETURN THE HYPERBOLIC SINE OF X + * + * Method : + * 1. reduce x to non-negative by sinhl(-x) = - sinhl(x). + * 2. + * + * expm1l(x) + expm1l(x)/(expm1l(x)+1) + * 0 <= x <= lnovft : sinhl(x) := -------------------------------- + * 2 + * + * lnovft <= x < INF : sinhl(x) := expl(x-MEP1*ln2)*2**ME + * + * here + * lnovft: logrithm of the overflow threshold + * = MEP1*ln2 chopped to machine precision. + * ME maximum exponent + * MEP1 maximum exponent plus 1 + * + * Special cases: + * sinhl(x) is x if x is +INF, -INF, or NaN. + * only sinhl(0)=0 is exact for finite argument. + * + */ + +#define ME 16383 +#define MEP1 16384 +#define LNOVFT 1.135652340629414394949193107797076342845e+4L + /* last 32 bits of LN2HI is zero */ +#define LN2HI 6.931471805599453094172319547495844850203e-0001L +#define LN2LO 1.667085920830552208890449330400379754169e-0025L + +static const long double + half = 0.5L, + one = 1.0L, + ln2hi = LN2HI, + ln2lo = LN2LO, + lnovftL = LNOVFT; + +long double +sinhl(long double x) { + long double r, t; + + if (!finitel(x)) + return (x + x); /* sinh of NaN or +-INF is itself */ + r = fabsl(x); + if (r < lnovftL) { + t = expm1l(r); + r = copysignl((t + t / (one + t)) * half, x); + } else { + r = copysignl(expl((r - MEP1 * ln2hi) - MEP1 * ln2lo), x); + r = scalbnl(r, ME); + } + return (r); +} |