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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

}