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authorRob Pike <r@golang.org>2009-06-09 09:53:44 -0700
committerRob Pike <r@golang.org>2009-06-09 09:53:44 -0700
commit7249ea4df2b4f12a4e7ed446f270cea87e4ffd34 (patch)
tree7032a11d0cac2ae4d3e90f7a189b575b5a50f848 /src/pkg/math/hypot.go
parentacf6ef7a82b3fe61516a1bac4563706552bdf078 (diff)
downloadgolang-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.go49
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
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+++ b/src/pkg/math/hypot.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
+
+/*
+ * 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")
+}