interface Point2D {
    val x: Double
    val y: Double

    fun distanceFromOrigin(): Double = sqrt(x * y)
}

interface Point3D : Point2D {
    override val x: Double
    override val y: Double
    val z: Double

    override fun distanceFromOrigin(): Double = sqrt(x * y * z)
}

// 2D sort in most positive direction first by x, then by y
fun comparePositiveward(pA: Point2D, pB: Point2D): Int {
    return when {
        pA.x > pB.x -> 1
        pA.x < pB.x -> -1
        pA.y > pB.y -> 1
        pA.y < pB.y -> -1
        else        -> 0
    }
}

// Any-D sort by distance from zero
fun compareDistance(pA: Point2D, pB: Point2D): Int {
    val aDist: Double = pA.distanceFromOrigin()
    val bDist: Double = pB.distanceFromOrigin()
    return when {
        aDist > bDist -> 1
        aDist < bDist -> -1
        else          -> 0
    }
}