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Diffstat (limited to 'libgo/go/math/sin.go')
-rw-r--r-- | libgo/go/math/sin.go | 66 |
1 files changed, 66 insertions, 0 deletions
diff --git a/libgo/go/math/sin.go b/libgo/go/math/sin.go new file mode 100644 index 0000000..35220cb --- /dev/null +++ b/libgo/go/math/sin.go @@ -0,0 +1,66 @@ +// 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) } |