From 1463bef67c5aefa2f5e6adcaef2a2a8161b27fa3 Mon Sep 17 00:00:00 2001 From: Ken Thompson Date: Fri, 28 Mar 2008 13:56:47 -0700 Subject: SVN=114204 --- src/lib/math/log.go | 70 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 70 insertions(+) create mode 100644 src/lib/math/log.go (limited to 'src/lib/math/log.go') diff --git a/src/lib/math/log.go b/src/lib/math/log.go new file mode 100644 index 000000000..cc7ebf06c --- /dev/null +++ b/src/lib/math/log.go @@ -0,0 +1,70 @@ +// 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 log + +import sys "sys" +export log, log10 + +/* + log returns the natural logarithm of its floating + point argument. + + The coefficients are #2705 from Hart & Cheney. (19.38D) + + It calls frexp. +*/ + +const +( + log2 = .693147180559945309e0; + ln10o1 = .4342944819032518276511; + sqrto2 = .707106781186547524e0; + p0 = -.240139179559210510e2; + p1 = .309572928215376501e2; + p2 = -.963769093377840513e1; + p3 = .421087371217979714e0; + q0 = -.120069589779605255e2; + q1 = .194809660700889731e2; + q2 = -.891110902798312337e1; +) + +func +log(arg double) double +{ + var x, z, zsq, temp double; + var exp int; + + if arg <= 0 { + return sys.NaN(); + } + + exp,x = sys.frexp(arg); + for x < 0.5 { + x = x*2; + exp = exp-1; + } + if x < sqrto2 { + x = x*2; + exp = exp-1; + } + + z = (x-1) / (x+1); + zsq = z*z; + + temp = ((p3*zsq + p2)*zsq + p1)*zsq + p0; + temp = temp/(((zsq + q2)*zsq + q1)*zsq + q0); + temp = temp*z + double(exp)*log2; + return temp; +} + +func +log10(arg double) double +{ + + if arg <= 0 { + return sys.NaN(); + } + return log(arg) * ln10o1; +} -- cgit v1.2.3