summaryrefslogtreecommitdiff
path: root/libgo/go/math/acosh.go
diff options
context:
space:
mode:
authorupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
committerupstream source tree <ports@midipix.org>2015-03-15 20:14:05 -0400
commit554fd8c5195424bdbcabf5de30fdc183aba391bd (patch)
tree976dc5ab7fddf506dadce60ae936f43f58787092 /libgo/go/math/acosh.go
downloadcbb-gcc-4.6.4-554fd8c5195424bdbcabf5de30fdc183aba391bd.tar.bz2
cbb-gcc-4.6.4-554fd8c5195424bdbcabf5de30fdc183aba391bd.tar.xz
obtained gcc-4.6.4.tar.bz2 from upstream website;upstream
verified gcc-4.6.4.tar.bz2.sig; imported gcc-4.6.4 source tree from verified upstream tarball. downloading a git-generated archive based on the 'upstream' tag should provide you with a source tree that is binary identical to the one extracted from the above tarball. if you have obtained the source via the command 'git clone', however, do note that line-endings of files in your working directory might differ from line-endings of the respective files in the upstream repository.
Diffstat (limited to 'libgo/go/math/acosh.go')
-rw-r--r--libgo/go/math/acosh.go62
1 files changed, 62 insertions, 0 deletions
diff --git a/libgo/go/math/acosh.go b/libgo/go/math/acosh.go
new file mode 100644
index 000000000..d8067c065
--- /dev/null
+++ b/libgo/go/math/acosh.go
@@ -0,0 +1,62 @@
+// 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_acosh.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_acosh(x)
+// Method :
+// Based on
+// acosh(x) = log [ x + sqrt(x*x-1) ]
+// we have
+// acosh(x) := log(x)+ln2, if x is large; else
+// acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
+// acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
+//
+// Special cases:
+// acosh(x) is NaN with signal if x<1.
+// acosh(NaN) is NaN without signal.
+//
+
+// Acosh(x) calculates the inverse hyperbolic cosine of x.
+//
+// Special cases are:
+// Acosh(x) = NaN if x < 1
+// Acosh(NaN) = NaN
+func Acosh(x float64) float64 {
+ const (
+ Ln2 = 6.93147180559945286227e-01 // 0x3FE62E42FEFA39EF
+ Large = 1 << 28 // 2**28
+ )
+ // TODO(rsc): Remove manual inlining of IsNaN
+ // when compiler does it for us
+ // first case is special case
+ switch {
+ case x < 1 || x != x: // x < 1 || IsNaN(x):
+ return NaN()
+ case x == 1:
+ return 0
+ case x >= Large:
+ return Log(x) + Ln2 // x > 2**28
+ case x > 2:
+ return Log(2*x - 1/(x+Sqrt(x*x-1))) // 2**28 > x > 2
+ }
+ t := x - 1
+ return Log1p(t + Sqrt(2*t+t*t)) // 2 >= x > 1
+}