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-rw-r--r--src/pkg/math/sin.go65
1 files changed, 65 insertions, 0 deletions
diff --git a/src/pkg/math/sin.go b/src/pkg/math/sin.go
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+++ b/src/pkg/math/sin.go
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+// 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 sine and cosine.
+
+ Coefficients are #5077 from Hart & Cheney. (18.80D)
+*/
+
+func sinus(x float64, quad int) float64 {
+ const (
+ P0 = .1357884097877375669092680e8
+ P1 = -.4942908100902844161158627e7
+ P2 = .4401030535375266501944918e6
+ P3 = -.1384727249982452873054457e5
+ P4 = .1459688406665768722226959e3
+ Q0 = .8644558652922534429915149e7
+ Q1 = .4081792252343299749395779e6
+ Q2 = .9463096101538208180571257e4
+ Q3 = .1326534908786136358911494e3
+ )
+ if x < 0 {
+ x = -x
+ quad = quad + 2
+ }
+ x = x * (2 / Pi) /* underflow? */
+ var y float64
+ if x > 32764 {
+ var e float64
+ e, y = Modf(x)
+ e = e + float64(quad)
+ f, _ := Modf(0.25 * e)
+ quad = int(e - 4*f)
+ } else {
+ k := int32(x)
+ y = x - float64(k)
+ quad = (quad + int(k)) & 3
+ }
+
+ if quad&1 != 0 {
+ y = 1 - y
+ }
+ if quad > 1 {
+ y = -y
+ }
+
+ yy := y * y
+ temp1 := ((((P4*yy+P3)*yy+P2)*yy+P1)*yy + P0) * y
+ temp2 := ((((yy+Q3)*yy+Q2)*yy+Q1)*yy + Q0)
+ return temp1 / temp2
+}
+
+// Cos returns the cosine of x.
+func Cos(x float64) float64 {
+ if x < 0 {
+ x = -x
+ }
+ return sinus(x, 1)
+}
+
+// Sin returns the sine of x.
+func Sin(x float64) float64 { return sinus(x, 0) }