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-rw-r--r--src/pkg/math/sqrt.go66
1 files changed, 66 insertions, 0 deletions
diff --git a/src/pkg/math/sqrt.go b/src/pkg/math/sqrt.go
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+++ b/src/pkg/math/sqrt.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
+
+import "math"
+
+/*
+ * sqrt returns the square root of its floating
+ * point argument. Newton's method.
+ *
+ * calls frexp
+ */
+
+// Sqrt returns the square root of x.
+//
+// Special cases are:
+// Sqrt(+Inf) = +Inf
+// Sqrt(0) = 0
+// Sqrt(x < 0) = NaN
+func Sqrt(x float64) float64 {
+ if IsInf(x, 1) {
+ return x;
+ }
+
+ if x <= 0 {
+ if x < 0 {
+ return NaN();
+ }
+ return 0;
+ }
+
+ y, exp := Frexp(x);
+ for y < 0.5 {
+ y = y*2;
+ exp = exp-1;
+ }
+
+ if exp&1 != 0 {
+ y = y*2;
+ exp = exp-1;
+ }
+ temp := 0.5 * (1+y);
+
+ for exp > 60 {
+ temp = temp * float64(1<<30);
+ exp = exp - 60;
+ }
+ for exp < -60 {
+ temp = temp / float64(1<<30);
+ exp = exp + 60;
+ }
+ if exp >= 0 {
+ exp = 1 << uint(exp/2);
+ temp = temp * float64(exp);
+ } else {
+ exp = 1 << uint(-exp/2);
+ temp = temp / float64(exp);
+ }
+
+ for i:=0; i<=4; i++ {
+ temp = 0.5*(temp + x/temp);
+ }
+ return temp;
+}