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| author | Rob Pike <r@golang.org> | 2009-06-09 09:53:44 -0700 |
|---|---|---|
| committer | Rob Pike <r@golang.org> | 2009-06-09 09:53:44 -0700 |
| commit | 7249ea4df2b4f12a4e7ed446f270cea87e4ffd34 (patch) | |
| tree | 7032a11d0cac2ae4d3e90f7a189b575b5a50f848 /src/pkg/math/hypot.go | |
| parent | acf6ef7a82b3fe61516a1bac4563706552bdf078 (diff) | |
| download | golang-7249ea4df2b4f12a4e7ed446f270cea87e4ffd34.tar.gz | |
mv src/lib to src/pkg
tests: all.bash passes, gobuild still works, godoc still works.
R=rsc
OCL=30096
CL=30102
Diffstat (limited to 'src/pkg/math/hypot.go')
| -rw-r--r-- | src/pkg/math/hypot.go | 49 |
1 files changed, 49 insertions, 0 deletions
diff --git a/src/pkg/math/hypot.go b/src/pkg/math/hypot.go new file mode 100644 index 000000000..411f74e4f --- /dev/null +++ b/src/pkg/math/hypot.go @@ -0,0 +1,49 @@ +// 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 + +/* + * hypot -- sqrt(p*p + q*q), but overflows only if the result does. + * See Cleve Moler and Donald Morrison, + * Replacing Square Roots by Pythagorean Sums + * IBM Journal of Research and Development, + * Vol. 27, Number 6, pp. 577-581, Nov. 1983 + */ + +// Hypot computes Sqrt(p*p + q*q), taking care to avoid +// unnecessary overflow and underflow. +func Hypot(p, q float64) float64 { + if p < 0 { + p = -p; + } + if q < 0 { + q = -q; + } + + if p < q { + p, q = q, p; + } + + if p == 0 { + return 0; + } + + pfac := p; + q = q/p; + r := q; + p = 1; + for { + r = r*r; + s := r+4; + if s == 4 { + return p*pfac; + } + r = r/s; + p = p + 2*r*p; + q = q*r; + r = q/p; + } + panic("unreachable") +} |
