diff options
Diffstat (limited to 'usr/src/lib/libm/common/Q/tanhl.c')
-rw-r--r-- | usr/src/lib/libm/common/Q/tanhl.c | 100 |
1 files changed, 100 insertions, 0 deletions
diff --git a/usr/src/lib/libm/common/Q/tanhl.c b/usr/src/lib/libm/common/Q/tanhl.c new file mode 100644 index 0000000000..08283bded9 --- /dev/null +++ b/usr/src/lib/libm/common/Q/tanhl.c @@ -0,0 +1,100 @@ +/* + * 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. + */ + +#if defined(ELFOBJ) +#pragma weak tanhl = __tanhl +#endif + +/* + * tanhl(x) returns the hyperbolic tangent of x + * + * Method : + * 1. reduce x to non-negative: tanhl(-x) = - tanhl(x). + * 2. + * 0 < x <= small : tanhl(x) := x + * -expm1l(-2x) + * small < x <= 1 : tanhl(x) := -------------- + * expm1l(-2x) + 2 + * 2 + * 1 <= x <= threshold : tanhl(x) := 1 - --------------- + * expm1l(2x) + 2 + * threshold < x <= INF : tanhl(x) := 1. + * + * where + * single : small = 1.e-5 threshold = 11.0 + * double : small = 1.e-10 threshold = 22.0 + * quad : small = 1.e-20 threshold = 45.0 + * + * Note: threshold was chosen so that + * fl(1.0+2/(expm1(2*threshold)+2)) == 1. + * + * Special cases: + * tanhl(NaN) is NaN; + * only tanhl(0.0)=0.0 is exact for finite argument. + */ + +#include "libm.h" +#include "longdouble.h" + +static const long double small = 1.0e-20L, one = 1.0, two = 2.0, +#ifndef lint + big = 1.0e+20L, +#endif + threshold = 45.0L; + +long double +tanhl(long double x) { + long double t, y, z; + int signx; + volatile long double dummy; + + if (isnanl(x)) + return (x + x); /* x is NaN */ + signx = signbitl(x); + t = fabsl(x); + z = one; + if (t <= threshold) { + if (t > one) + z = one - two / (expm1l(t + t) + two); + else if (t > small) { + y = expm1l(-t - t); + z = -y / (y + two); + } else { +#ifndef lint + dummy = t + big; + /* inexact if t != 0 */ +#endif + return (x); + } + } else if (!finitel(t)) + return (copysignl(one, x)); + else + return (signx ? -z + small * small : z - small * small); + return (signx ? -z : z); +} |