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-rw-r--r--src/math/dim.go100
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+// Copyright 2010 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
+
+// Dim returns the maximum of x-y or 0.
+//
+// Special cases are:
+//
+// Dim(+Inf, +Inf) = NaN
+// Dim(-Inf, -Inf) = NaN
+// Dim(x, NaN) = Dim(NaN, x) = NaN
+func Dim(x, y float64) float64 {
+ // The special cases result in NaN after the subtraction:
+ // +Inf - +Inf = NaN
+ // -Inf - -Inf = NaN
+ // NaN - y = NaN
+ // x - NaN = NaN
+ v := x - y
+ if v <= 0 {
+ // v is negative or 0
+ return 0
+ }
+ // v is positive or NaN
+ return v
+}
+
+// Max returns the larger of x or y.
+//
+// Special cases are:
+//
+// Max(x, +Inf) = Max(+Inf, x) = +Inf
+// Max(x, NaN) = Max(NaN, x) = NaN
+// Max(+0, ±0) = Max(±0, +0) = +0
+// Max(-0, -0) = -0
+//
+// Note that this differs from the built-in function max when called
+// with NaN and +Inf.
+func Max(x, y float64) float64 {
+ if haveArchMax {
+ return archMax(x, y)
+ }
+ return max(x, y)
+}
+
+func max(x, y float64) float64 {
+ // special cases
+ switch {
+ case IsInf(x, 1) || IsInf(y, 1):
+ return Inf(1)
+ case IsNaN(x) || IsNaN(y):
+ return NaN()
+ case x == 0 && x == y:
+ if Signbit(x) {
+ return y
+ }
+ return x
+ }
+ if x > y {
+ return x
+ }
+ return y
+}
+
+// Min returns the smaller of x or y.
+//
+// Special cases are:
+//
+// Min(x, -Inf) = Min(-Inf, x) = -Inf
+// Min(x, NaN) = Min(NaN, x) = NaN
+// Min(-0, ±0) = Min(±0, -0) = -0
+//
+// Note that this differs from the built-in function min when called
+// with NaN and -Inf.
+func Min(x, y float64) float64 {
+ if haveArchMin {
+ return archMin(x, y)
+ }
+ return min(x, y)
+}
+
+func min(x, y float64) float64 {
+ // special cases
+ switch {
+ case IsInf(x, -1) || IsInf(y, -1):
+ return Inf(-1)
+ case IsNaN(x) || IsNaN(y):
+ return NaN()
+ case x == 0 && x == y:
+ if Signbit(x) {
+ return x
+ }
+ return y
+ }
+ if x < y {
+ return x
+ }
+ return y
+}