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author | Tianon Gravi <admwiggin@gmail.com> | 2015-01-15 11:54:00 -0700 |
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committer | Tianon Gravi <admwiggin@gmail.com> | 2015-01-15 11:54:00 -0700 |
commit | f154da9e12608589e8d5f0508f908a0c3e88a1bb (patch) | |
tree | f8255d51e10c6f1e0ed69702200b966c9556a431 /src/math/cmplx/exp.go | |
parent | 8d8329ed5dfb9622c82a9fbec6fd99a580f9c9f6 (diff) | |
download | golang-upstream/1.4.tar.gz |
Imported Upstream version 1.4upstream/1.4
Diffstat (limited to 'src/math/cmplx/exp.go')
-rw-r--r-- | src/math/cmplx/exp.go | 55 |
1 files changed, 55 insertions, 0 deletions
diff --git a/src/math/cmplx/exp.go b/src/math/cmplx/exp.go new file mode 100644 index 000000000..485ed2c78 --- /dev/null +++ b/src/math/cmplx/exp.go @@ -0,0 +1,55 @@ +// Copyright 2010 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 cmplx + +import "math" + +// The original C code, the long comment, and the constants +// below are from http://netlib.sandia.gov/cephes/c9x-complex/clog.c. +// The go code is a simplified version of the original C. +// +// Cephes Math Library Release 2.8: June, 2000 +// Copyright 1984, 1987, 1989, 1992, 2000 by Stephen L. Moshier +// +// The readme file at http://netlib.sandia.gov/cephes/ says: +// Some software in this archive may be from the book _Methods and +// Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster +// International, 1989) or from the Cephes Mathematical Library, a +// commercial product. In either event, it is copyrighted by the author. +// What you see here may be used freely but it comes with no support or +// guarantee. +// +// The two known misprints in the book are repaired here in the +// source listings for the gamma function and the incomplete beta +// integral. +// +// Stephen L. Moshier +// moshier@na-net.ornl.gov + +// Complex exponential function +// +// DESCRIPTION: +// +// Returns the complex exponential of the complex argument z. +// +// If +// z = x + iy, +// r = exp(x), +// then +// w = r cos y + i r sin y. +// +// ACCURACY: +// +// Relative error: +// arithmetic domain # trials peak rms +// DEC -10,+10 8700 3.7e-17 1.1e-17 +// IEEE -10,+10 30000 3.0e-16 8.7e-17 + +// Exp returns e**x, the base-e exponential of x. +func Exp(x complex128) complex128 { + r := math.Exp(real(x)) + s, c := math.Sincos(imag(x)) + return complex(r*c, r*s) +} |