Adding upstream version 1.16.10.upstream/1.16.10upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 79 insertions, 0 deletions

diff --git a/src/math/atanh.go b/src/math/atanh.go
new file mode 100644
index 0000000..8904bd6
--- /dev/null
+++ b/src/math/atanh.go
@@ -0,0 +1,79 @@
+// Copyright 2010 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 are from FreeBSD's /usr/src/lib/msun/src/e_atanh.c
+// and came with this notice. The go code is a simplified
+// version of the original C.
+//
+// ====================================================
+// Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+//
+// Developed at SunPro, a Sun Microsystems, Inc. business.
+// Permission to use, copy, modify, and distribute this
+// software is freely granted, provided that this notice
+// is preserved.
+// ====================================================
+//
+//
+// __ieee754_atanh(x)
+// Method :
+//	1. Reduce x to positive by atanh(-x) = -atanh(x)
+//	2. For x>=0.5
+//	            1              2x                          x
+//	atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+//	            2             1 - x                      1 - x
+//
+//	For x<0.5
+//	atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
+//
+// Special cases:
+//	atanh(x) is NaN if |x| > 1 with signal;
+//	atanh(NaN) is that NaN with no signal;
+//	atanh(+-1) is +-INF with signal.
+//
+
+// Atanh returns the inverse hyperbolic tangent of x.
+//
+// Special cases are:
+//	Atanh(1) = +Inf
+//	Atanh(±0) = ±0
+//	Atanh(-1) = -Inf
+//	Atanh(x) = NaN if x < -1 or x > 1
+//	Atanh(NaN) = NaN
+func Atanh(x float64) float64
+
+func atanh(x float64) float64 {
+	const NearZero = 1.0 / (1 << 28) // 2**-28
+	// special cases
+	switch {
+	case x < -1 || x > 1 || IsNaN(x):
+		return NaN()
+	case x == 1:
+		return Inf(1)
+	case x == -1:
+		return Inf(-1)
+	}
+	sign := false
+	if x < 0 {
+		x = -x
+		sign = true
+	}
+	var temp float64
+	switch {
+	case x < NearZero:
+		temp = x
+	case x < 0.5:
+		temp = x + x
+		temp = 0.5 * Log1p(temp+temp*x/(1-x))
+	default:
+		temp = 0.5 * Log1p((x+x)/(1-x))
+	}
+	if sign {
+		temp = -temp
+	}
+	return temp
+}