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Diffstat (limited to 'libgo/go/math/atan.go')
-rw-r--r-- | libgo/go/math/atan.go | 62 |
1 files changed, 62 insertions, 0 deletions
diff --git a/libgo/go/math/atan.go b/libgo/go/math/atan.go new file mode 100644 index 0000000..9d4ec2f --- /dev/null +++ b/libgo/go/math/atan.go @@ -0,0 +1,62 @@ +// 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 + +/* + Floating-point arctangent. + + Atan returns the value of the arctangent of its + argument in the range [-pi/2,pi/2]. + There are no error returns. + Coefficients are #5077 from Hart & Cheney. (19.56D) +*/ + +// xatan evaluates a series valid in the +// range [-0.414...,+0.414...]. (tan(pi/8)) +func xatan(arg float64) float64 { + const ( + P4 = .161536412982230228262e2 + P3 = .26842548195503973794141e3 + P2 = .11530293515404850115428136e4 + P1 = .178040631643319697105464587e4 + P0 = .89678597403663861959987488e3 + Q4 = .5895697050844462222791e2 + Q3 = .536265374031215315104235e3 + Q2 = .16667838148816337184521798e4 + Q1 = .207933497444540981287275926e4 + Q0 = .89678597403663861962481162e3 + ) + sq := arg * arg + value := ((((P4*sq+P3)*sq+P2)*sq+P1)*sq + P0) + value = value / (((((sq+Q4)*sq+Q3)*sq+Q2)*sq+Q1)*sq + Q0) + return value * arg +} + +// satan reduces its argument (known to be positive) +// to the range [0,0.414...] and calls xatan. +func satan(arg float64) float64 { + if arg < Sqrt2-1 { + return xatan(arg) + } + if arg > Sqrt2+1 { + return Pi/2 - xatan(1/arg) + } + return Pi/4 + xatan((arg-1)/(arg+1)) +} + +// Atan returns the arctangent of x. +// +// Special cases are: +// Atan(±0) = ±0 +// Atan(±Inf) = ±Pi/2 +func Atan(x float64) float64 { + if x == 0 { + return x + } + if x > 0 { + return satan(x) + } + return -satan(-x) +} |