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-rw-r--r--src/pkg/math/atan.go67
1 files changed, 67 insertions, 0 deletions
diff --git a/src/pkg/math/atan.go b/src/pkg/math/atan.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"
+
+/*
+ * floating-point arctangent
+ *
+ * atan returns the value of the arctangent of its
+ * argument in the range [-pi/2,pi/2].
+ * there are no error returns.
+ * coefficients are #5077 from Hart & Cheney. (19.56D)
+ */
+
+/*
+ * xatan evaluates a series valid in the
+ * range [-0.414...,+0.414...]. (tan(pi/8))
+ */
+func xatan(arg float64) float64 {
+ const
+ (
+ P4 = .161536412982230228262e2;
+ P3 = .26842548195503973794141e3;
+ P2 = .11530293515404850115428136e4;
+ P1 = .178040631643319697105464587e4;
+ P0 = .89678597403663861959987488e3;
+ Q4 = .5895697050844462222791e2;
+ Q3 = .536265374031215315104235e3;
+ Q2 = .16667838148816337184521798e4;
+ Q1 = .207933497444540981287275926e4;
+ Q0 = .89678597403663861962481162e3;
+ )
+ sq := arg*arg;
+ value := ((((P4*sq + P3)*sq + P2)*sq + P1)*sq + P0);
+ value = value/(((((sq + Q4)*sq + Q3)*sq + Q2)*sq + Q1)*sq + Q0);
+ return value*arg;
+}
+
+/*
+ * satan reduces its argument (known to be positive)
+ * to the range [0,0.414...] and calls xatan.
+ */
+func satan(arg float64) float64 {
+ if arg < Sqrt2 - 1 {
+ return xatan(arg);
+ }
+ if arg > Sqrt2 + 1 {
+ return Pi/2 - xatan(1/arg);
+ }
+ return Pi/4 + xatan((arg-1)/(arg+1));
+}
+
+/*
+ * atan makes its argument positive and
+ * calls the inner routine satan.
+ */
+
+// Atan returns the arc tangent of x.
+func Atan(x float64) float64 {
+ if x > 0 {
+ return satan(x);
+ }
+ return -satan(-x);
+}