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Diffstat (limited to 'src/math/dim.go')
-rw-r--r-- | src/math/dim.go | 91 |
1 files changed, 91 insertions, 0 deletions
diff --git a/src/math/dim.go b/src/math/dim.go new file mode 100644 index 0000000..6a857bb --- /dev/null +++ b/src/math/dim.go @@ -0,0 +1,91 @@ +// 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 +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 +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 +} |