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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 {
        return dim(x, y)
}

func dim(x, y float64) float64 {
        return max(x-y, 0)
}

// 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 {
        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 {
        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
}