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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
+
+// Atan2 returns the arc tangent of y/x, using
+// the signs of the two to determine the quadrant
+// of the return value.
+//
+// Special cases are (in order):
+//
+// Atan2(y, NaN) = NaN
+// Atan2(NaN, x) = NaN
+// Atan2(+0, x>=0) = +0
+// Atan2(-0, x>=0) = -0
+// Atan2(+0, x<=-0) = +Pi
+// Atan2(-0, x<=-0) = -Pi
+// Atan2(y>0, 0) = +Pi/2
+// Atan2(y<0, 0) = -Pi/2
+// Atan2(+Inf, +Inf) = +Pi/4
+// Atan2(-Inf, +Inf) = -Pi/4
+// Atan2(+Inf, -Inf) = 3Pi/4
+// Atan2(-Inf, -Inf) = -3Pi/4
+// Atan2(y, +Inf) = 0
+// Atan2(y>0, -Inf) = +Pi
+// Atan2(y<0, -Inf) = -Pi
+// Atan2(+Inf, x) = +Pi/2
+// Atan2(-Inf, x) = -Pi/2
+func Atan2(y, x float64) float64 {
+ if haveArchAtan2 {
+ return archAtan2(y, x)
+ }
+ return atan2(y, x)
+}
+
+func atan2(y, x float64) float64 {
+ // special cases
+ switch {
+ case IsNaN(y) || IsNaN(x):
+ return NaN()
+ case y == 0:
+ if x >= 0 && !Signbit(x) {
+ return Copysign(0, y)
+ }
+ return Copysign(Pi, y)
+ case x == 0:
+ return Copysign(Pi/2, y)
+ case IsInf(x, 0):
+ if IsInf(x, 1) {
+ switch {
+ case IsInf(y, 0):
+ return Copysign(Pi/4, y)
+ default:
+ return Copysign(0, y)
+ }
+ }
+ switch {
+ case IsInf(y, 0):
+ return Copysign(3*Pi/4, y)
+ default:
+ return Copysign(Pi, y)
+ }
+ case IsInf(y, 0):
+ return Copysign(Pi/2, y)
+ }
+
+ // Call atan and determine the quadrant.
+ q := Atan(y / x)
+ if x < 0 {
+ if q <= 0 {
+ return q + Pi
+ }
+ return q - Pi
+ }
+ return q
+}