Adding upstream version 1.16.10.upstream/1.16.10upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 72 insertions, 0 deletions

diff --git a/src/math/cmplx/exp.go b/src/math/cmplx/exp.go
new file mode 100644
index 0000000..d5d0a5d
--- /dev/null
+++ b/src/math/cmplx/exp.go
@@ -0,0 +1,72 @@
+// 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 {
+	switch re, im := real(x), imag(x); {
+	case math.IsInf(re, 0):
+		switch {
+		case re > 0 && im == 0:
+			return x
+		case math.IsInf(im, 0) || math.IsNaN(im):
+			if re < 0 {
+				return complex(0, math.Copysign(0, im))
+			} else {
+				return complex(math.Inf(1.0), math.NaN())
+			}
+		}
+	case math.IsNaN(re):
+		if im == 0 {
+			return complex(math.NaN(), im)
+		}
+	}
+	r := math.Exp(real(x))
+	s, c := math.Sincos(imag(x))
+	return complex(r*c, r*s)
+}