diff options
Diffstat (limited to 'src/pkg/math/atan.go')
-rw-r--r-- | src/pkg/math/atan.go | 67 |
1 files changed, 67 insertions, 0 deletions
diff --git a/src/pkg/math/atan.go b/src/pkg/math/atan.go new file mode 100644 index 000000000..4b18f76aa --- /dev/null +++ b/src/pkg/math/atan.go @@ -0,0 +1,67 @@ +// 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 + +import "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 makes its argument positive and + * calls the inner routine satan. + */ + +// Atan returns the arc tangent of x. +func Atan(x float64) float64 { + if x > 0 { + return satan(x); + } + return -satan(-x); +} |