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-// Copyright 2009 The Go Authors. All rights reserved.
-// Use of this source code is governed by a BSD-style
-// license that can be found in the LICENSE file.
-
-package math
-
-// The original C code, the long comment, and the constants
-// below were from http://netlib.sandia.gov/cephes/cmath/sin.c,
-// available from http://www.netlib.org/cephes/cmath.tgz.
-// The go code is a simplified version of the original C.
-// tanh.c
-//
-// Hyperbolic tangent
-//
-// SYNOPSIS:
-//
-// double x, y, tanh();
-//
-// y = tanh( x );
-//
-// DESCRIPTION:
-//
-// Returns hyperbolic tangent of argument in the range MINLOG to MAXLOG.
-// MAXLOG = 8.8029691931113054295988e+01 = log(2**127)
-// MINLOG = -8.872283911167299960540e+01 = log(2**-128)
-//
-// A rational function is used for |x| < 0.625. The form
-// x + x**3 P(x)/Q(x) of Cody & Waite is employed.
-// Otherwise,
-// tanh(x) = sinh(x)/cosh(x) = 1 - 2/(exp(2x) + 1).
-//
-// ACCURACY:
-//
-// Relative error:
-// arithmetic domain # trials peak rms
-// IEEE -2,2 30000 2.5e-16 5.8e-17
-//
-// Cephes Math Library Release 2.8: June, 2000
-// Copyright 1984, 1987, 1989, 1992, 2000 by Stephen L. Moshier
-//
-// The readme file at http://netlib.sandia.gov/cephes/ says:
-// Some software in this archive may be from the book _Methods and
-// Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster
-// International, 1989) or from the Cephes Mathematical Library, a
-// commercial product. In either event, it is copyrighted by the author.
-// What you see here may be used freely but it comes with no support or
-// guarantee.
-//
-// The two known misprints in the book are repaired here in the
-// source listings for the gamma function and the incomplete beta
-// integral.
-//
-// Stephen L. Moshier
-// moshier@na-net.ornl.gov
-//
-
-var tanhP = [...]float64{
- -9.64399179425052238628E-1,
- -9.92877231001918586564E1,
- -1.61468768441708447952E3,
-}
-var tanhQ = [...]float64{
- 1.12811678491632931402E2,
- 2.23548839060100448583E3,
- 4.84406305325125486048E3,
-}
-
-// Tanh computes the hyperbolic tangent of x.
-//
-// Special cases are:
-// Tanh(±0) = ±0
-// Tanh(±Inf) = ±1
-// Tanh(NaN) = NaN
-func Tanh(x float64) float64 {
- const MAXLOG = 8.8029691931113054295988e+01 // log(2**127)
- z := Abs(x)
- switch {
- case z > 0.5*MAXLOG:
- if x < 0 {
- return -1
- }
- return 1
- case z >= 0.625:
- s := Exp(2 * z)
- z = 1 - 2/(s+1)
- if x < 0 {
- z = -z
- }
- default:
- if x == 0 {
- return x
- }
- s := x * x
- z = x + x*s*((tanhP[0]*s+tanhP[1])*s+tanhP[2])/(((s+tanhQ[0])*s+tanhQ[1])*s+tanhQ[2])
- }
- return z
-}