import Util.splitWhen
import kotlin.math.abs
import kotlin.test.Test
import kotlin.test.assertEquals

class Day19 {
    data class Position(val x: Int, val y: Int, val z: Int)
    data class Scanner(val index: Int, val beacons: Set<Position>)
    enum class Turn { NONE, RIGHT, LEFT, UP, DOWN, BACKWARDS }
    enum class Rotate { NONE, CLOCKWISE, COUNTERCLOCKWISE, UPSIDE_DOWN }
    data class Correction(val turn: Turn, val rotation: Rotate, val x: Int, val y: Int, val z: Int)
    private val turns = listOf(Turn.NONE, Turn.RIGHT, Turn.LEFT, Turn.UP, Turn.DOWN, Turn.BACKWARDS)
    private val rotations = listOf(Rotate.NONE, Rotate.CLOCKWISE, Rotate.COUNTERCLOCKWISE, Rotate.UPSIDE_DOWN)

    @Test
    fun `run part 01`() {
        val scanners = getScanners()

        val count = getOceanMap(scanners)
            .count { (_, isScanner) -> !isScanner }

        assertEquals(451, count)
    }

    @Test
    fun `run part 02`() {
        val scanners = getScanners()

        val detectedScanners = getOceanMap(scanners)
            .filter { (_, isScanner) -> isScanner }
            .map { (position, _) -> position }

        val maxDistance = detectedScanners
            .flatMap { position ->
                detectedScanners
                    .filterNot { other -> position == other }
                    .map { other ->
                        position.distance(other)
                    }
            }
            .maxOrNull()

        assertEquals(13184, maxDistance)
    }

    private fun getOceanMap(scanners: List<Scanner>): Set<Pair<Position, Boolean>> {
        val detectedScanners = mutableListOf(scanners.first().index to Position(0, 0, 0))
        val detectedBeacons = scanners.first().beacons.toMutableSet()

        while (detectedScanners.size != scanners.size) {
            val trianglesFromDetectedBeacons = detectedBeacons.getTrianglesWithBeacons()

            scanners
                .filterNot { detectedScanners.map { scanner -> scanner.first }.contains(it.index) }
                .map {
                    it to it.beacons
                        .getTrianglesWithBeacons()
                        .filter { (triangles, _) ->
                            triangles.sorted() in trianglesFromDetectedBeacons
                                .map { (triangle, _) -> triangle.sorted() }
                        }
                }
                .filter { (_, triangles) -> triangles.count() * 3 >= 12 }
                .forEach { (scanner, triangles) ->
                    val correction = calcCorrection(triangles, trianglesFromDetectedBeacons)

                    detectedScanners.add(scanner.index to Position(correction.x, correction.y, correction.z))
                    scanner.beacons
                        .map { it.face(correction.turn, correction.rotation) }
                        .map { Position(it.x - correction.x, it.y - correction.y, it.z - correction.z) }
                        .forEach { detectedBeacons.add(it) }
                }
        }

        return detectedScanners.map { it.second to true }.toSet() + detectedBeacons.map { it to false }
    }

    /** Build distinct triangles for all positions with closest two neighbours.
     *  Also maintain position order for each triangle. */
    private fun Set<Position>.getTrianglesWithBeacons() =
        this.map {
            this
                .filterNot { beacon -> beacon == it }
                .sortedBy { beacon -> beacon.distance(it) }
                .take(2)
                .let { beacons ->
                    listOf(
                        it.distance(beacons.first()),
                        it.distance(beacons.last()),
                        beacons.first().distance(beacons.last())
                    ) to listOf(it, beacons.first(), beacons.last())
                }
        }
            .sortedWith(
                compareBy<Pair<List<Int>, List<Position>>> { (triangle, _) -> triangle[0] }
                    .thenBy { (triangle, _) -> triangle[1] }
            )
            .distinctBy { (triangle, _) -> triangle.sorted() }

    /** Determine correction (direction and position offset) by turning and rotating matching triangles.
     *  Direction matches when the distances between all matching positions for matching triangles are equal.
     *  Compare all triangles to avoid edge case where more than one direction fits. */
    private fun calcCorrection(
        trianglesWithBeacons: List<Pair<List<Int>, List<Position>>>,
        trianglesFromDetectedBeacons: List<Pair<List<Int>, List<Position>>>
    ) = trianglesWithBeacons
        .map { (triangle, beacons) ->
            val (_, matchingDetectedBeacons) = trianglesFromDetectedBeacons
                .single { (detectedTriangle, _) -> triangle == detectedTriangle }

            turns.flatMap { turn ->
                rotations.mapNotNull { rotation ->
                    val match = matchingDetectedBeacons[0]
                    val faced = beacons[0].face(turn, rotation)
                    val distance1 = match.distance(faced)
                    val distance2 = matchingDetectedBeacons[1].distance(beacons[1].face(turn, rotation))
                    val distance3 = matchingDetectedBeacons[2].distance(beacons[2].face(turn, rotation))

                    if (distance1 == distance2 && distance1 == distance3)
                        Correction(turn, rotation, faced.x - match.x, faced.y - match.y, faced.z - match.z)
                    else null
                }
            }.toSet()
        }
        .filterNot { corrections -> corrections.isEmpty() }
        .reduce { acc, corrections -> acc intersect corrections }
        .let { corrections ->
            if (corrections.size == 1) corrections.first() else throw IllegalStateException()
        }

    private fun Position.face(turn: Turn, rotation: Rotate) = when (turn to rotation) {
        Turn.NONE to Rotate.NONE -> this
        Turn.NONE to Rotate.CLOCKWISE -> Position(this.y, -this.x, this.z)
        Turn.NONE to Rotate.COUNTERCLOCKWISE -> Position(-this.y, this.x, this.z)
        Turn.NONE to Rotate.UPSIDE_DOWN -> Position(-this.x, -this.y, this.z)
        Turn.RIGHT to Rotate.NONE -> Position(this.z, this.y, -this.x)
        Turn.RIGHT to Rotate.CLOCKWISE -> Position(this.z, -this.x, -this.y)
        Turn.RIGHT to Rotate.COUNTERCLOCKWISE -> Position(this.z, this.x, this.y)
        Turn.RIGHT to Rotate.UPSIDE_DOWN -> Position(this.z, -this.y, this.x)
        Turn.LEFT to Rotate.NONE -> Position(-this.z, this.y, this.x)
        Turn.LEFT to Rotate.CLOCKWISE -> Position(-this.z, -this.x, this.y)
        Turn.LEFT to Rotate.COUNTERCLOCKWISE -> Position(-this.z, this.x, -this.y)
        Turn.LEFT to Rotate.UPSIDE_DOWN -> Position(-this.z, -this.y, -this.x)
        Turn.UP to Rotate.NONE -> Position(this.x, this.z, -this.y)
        Turn.UP to Rotate.CLOCKWISE -> Position(this.y, this.z, this.x)
        Turn.UP to Rotate.COUNTERCLOCKWISE -> Position(-this.y, this.z, -this.x)
        Turn.UP to Rotate.UPSIDE_DOWN -> Position(-this.x, this.z, this.y)
        Turn.DOWN to Rotate.NONE -> Position(this.x, -this.z, this.y)
        Turn.DOWN to Rotate.CLOCKWISE -> Position(-this.y, -this.z, this.x)
        Turn.DOWN to Rotate.COUNTERCLOCKWISE -> Position(this.y, -this.z, -this.x)
        Turn.DOWN to Rotate.UPSIDE_DOWN -> Position(-this.x, -this.z, -this.y)
        Turn.BACKWARDS to Rotate.NONE -> Position(-this.x, this.y, -this.z)
        Turn.BACKWARDS to Rotate.CLOCKWISE -> Position(this.y, this.x, -this.z)
        Turn.BACKWARDS to Rotate.COUNTERCLOCKWISE -> Position(-this.y, -this.x, -this.z)
        Turn.BACKWARDS to Rotate.UPSIDE_DOWN -> Position(this.x, -this.y, -this.z)
        else -> throw IllegalStateException()
    }

    private fun Position.distance(element: Position = Position(0, 0, 0)) =
        abs(this.x - element.x) + abs(this.y - element.y) + abs(this.z - element.z)

    private fun getScanners() = Util.getInputAsListOfString("day19-input.txt")
        .map {
            if (it.contains(','))
                it.split(',').let { s -> Position(s[0].toInt(), s[1].toInt(), s[2].toInt()) }
            else null
        }
        .splitWhen { it == null }
        .mapIndexed { index, it -> Scanner(index, it.filterNotNull().toSet()) }

    @Test
    fun `face Tests`() {
        assertEquals(Position(1, 2, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.NONE))
        assertEquals(Position(2, -1, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.CLOCKWISE))
        assertEquals(Position(-2, 1, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-1, -2, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.UPSIDE_DOWN))

        assertEquals(Position(3, 2, -1), Position(1, 2, 3).face(Turn.RIGHT, Rotate.NONE))
        assertEquals(Position(3, -1, -2), Position(1, 2, 3).face(Turn.RIGHT, Rotate.CLOCKWISE))
        assertEquals(Position(3, 1, 2), Position(1, 2, 3).face(Turn.RIGHT, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(3, -2, 1), Position(1, 2, 3).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))

        assertEquals(Position(-3, 2, 1), Position(1, 2, 3).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-3, -1, 2), Position(1, 2, 3).face(Turn.LEFT, Rotate.CLOCKWISE))
        assertEquals(Position(-3, 1, -2), Position(1, 2, 3).face(Turn.LEFT, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-3, -2, -1), Position(1, 2, 3).face(Turn.LEFT, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, 3, -2), Position(1, 2, 3).face(Turn.UP, Rotate.NONE))
        assertEquals(Position(2, 3, 1), Position(1, 2, 3).face(Turn.UP, Rotate.CLOCKWISE))
        assertEquals(Position(-2, 3, -1), Position(1, 2, 3).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-1, 3, 2), Position(1, 2, 3).face(Turn.UP, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, -3, 2), Position(1, 2, 3).face(Turn.DOWN, Rotate.NONE))
        assertEquals(Position(-2, -3, 1), Position(1, 2, 3).face(Turn.DOWN, Rotate.CLOCKWISE))
        assertEquals(Position(2, -3, -1), Position(1, 2, 3).face(Turn.DOWN, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-1, -3, -2), Position(1, 2, 3).face(Turn.DOWN, Rotate.UPSIDE_DOWN))

        assertEquals(Position(-1, 2, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.NONE))
        assertEquals(Position(2, 1, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.CLOCKWISE))
        assertEquals(Position(-2, -1, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(1, -2, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, -1, 1), Position(-1, -1, 1).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(2, -2, 2), Position(-2, -2, 2).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(3, -3, 3), Position(-3, -3, 3).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(2, -1, 3), Position(-2, -3, 1).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(-5, 4, -6), Position(5, 6, -4).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(-8, -7, 0), Position(8, 0, 7).face(Turn.DOWN, Rotate.UPSIDE_DOWN))

        assertEquals(Position(-1, -1, -1), Position(-1, -1, 1).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-2, -2, -2), Position(-2, -2, 2).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-3, -3, -3), Position(-3, -3, 3).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-1, -3, -2), Position(-2, -3, 1).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(4, 6, 5), Position(5, 6, -4).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-7, 0, 8), Position(8, 0, 7).face(Turn.LEFT, Rotate.NONE))

        assertEquals(Position(1, 1, -1), Position(-1, -1, 1).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(2, 2, -2), Position(-2, -2, 2).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(3, 3, -3), Position(-3, -3, 3).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(1, 3, -2), Position(-2, -3, 1).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(-4, -6, 5), Position(5, 6, -4).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(7, 0, 8), Position(8, 0, 7).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, 1, 1), Position(-1, -1, 1).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(2, 2, 2), Position(-2, -2, 2).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(3, 3, 3), Position(-3, -3, 3).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(3, 1, 2), Position(-2, -3, 1).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-6, -4, -5), Position(5, 6, -4).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(0, 7, -8), Position(8, 0, 7).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
    }

    @Test
    fun `distance Tests`() {
        assertEquals(6, Position(0, 0, 0).distance(Position(1, 2, 3)))
        assertEquals(6, Position(1, 2, 3).distance())
        assertEquals(12, Position(-1, -2, -3).distance(Position(1, 2, 3)))
    }
}

import Util.splitWhen
import kotlin.math.abs
import kotlin.test.Test
import kotlin.test.assertEquals

class Day19 {
    data class Position(val x: Int, val y: Int, val z: Int)
    data class Scanner(val index: Int, val beacons: Set<Position>)
    enum class Turn { NONE, RIGHT, LEFT, UP, DOWN, BACKWARDS }
    enum class Rotate { NONE, CLOCKWISE, COUNTERCLOCKWISE, UPSIDE_DOWN }
    data class Correction(val turn: Turn, val rotation: Rotate, val x: Int, val y: Int, val z: Int)
    private val turns = listOf(Turn.NONE, Turn.RIGHT, Turn.LEFT, Turn.UP, Turn.DOWN, Turn.BACKWARDS)
    private val rotations = listOf(Rotate.NONE, Rotate.CLOCKWISE, Rotate.COUNTERCLOCKWISE, Rotate.UPSIDE_DOWN)

    @Test
    fun `run part 01`() {
        val scanners = getScanners()

        val count = getOceanMap(scanners)
            .count { (_, isScanner) -> !isScanner }

        assertEquals(451, count)
    }

    @Test
    fun `run part 02`() {
        val scanners = getScanners()

        val detectedScanners = getOceanMap(scanners)
            .filter { (_, isScanner) -> isScanner }
            .map { (position, _) -> position }

        val maxDistance = detectedScanners
            .flatMap { position ->
                detectedScanners
                    .filterNot { other -> position == other }
                    .map { other ->
                        position.distance(other)
                    }
            }
            .maxOrNull()

        assertEquals(13184, maxDistance)
    }

    private fun getOceanMap(scanners: List<Scanner>): Set<Pair<Position, Boolean>> {
        val detectedScanners = mutableListOf(scanners.first().index to Position(0, 0, 0))
        val detectedBeacons = scanners.first().beacons.toMutableSet()

        while (detectedScanners.size != scanners.size) {
            val trianglesFromDetectedBeacons = detectedBeacons.getTrianglesWithBeacons()

            scanners
                .filterNot { detectedScanners.map { scanner -> scanner.first }.contains(it.index) }
                .map {
                    it to it.beacons
                        .getTrianglesWithBeacons()
                        .filter { (triangles, _) ->
                            triangles.sorted() in trianglesFromDetectedBeacons
                                .map { (triangle, _) -> triangle.sorted() }
                        }
                }
                .filter { (_, triangles) -> triangles.count() * 3 >= 12 }
                .forEach { (scanner, triangles) ->
                    val correction = calcCorrection(triangles, trianglesFromDetectedBeacons)

                    detectedScanners.add(scanner.index to Position(correction.x, correction.y, correction.z))
                    scanner.beacons
                        .map { it.face(correction.turn, correction.rotation) }
                        .map { Position(it.x - correction.x, it.y - correction.y, it.z - correction.z) }
                        .forEach { detectedBeacons.add(it) }
                }
        }

        return detectedScanners.map { it.second to true }.toSet() + detectedBeacons.map { it to false }
    }

    /** Build distinct triangles for all positions with closest two neighbours.
     *  Also maintain position order for each triangle. */
    private fun Set<Position>.getTrianglesWithBeacons() =
        this.map {
            this
                .filterNot { beacon -> beacon == it }
                .sortedBy { beacon -> beacon.distance(it) }
                .take(2)
                .let { beacons ->
                    listOf(
                        it.distance(beacons.first()),
                        it.distance(beacons.last()),
                        beacons.first().distance(beacons.last())
                    ) to listOf(it, beacons.first(), beacons.last())
                }
        }
            .sortedWith(
                compareBy<Pair<List<Int>, List<Position>>> { (triangle, _) -> triangle[0] }
                    .thenBy { (triangle, _) -> triangle[1] }
            )
            .distinctBy { (triangle, _) -> triangle.sorted() }

    /** Determine correction (direction and position offset) by turning and rotating matching triangles.
     *  Direction matches when the distances between all matching positions for matching triangles are equal.
     *  Compare all triangles to avoid edge case where more than one direction fits. */
    private fun calcCorrection(
        trianglesWithBeacons: List<Pair<List<Int>, List<Position>>>,
        trianglesFromDetectedBeacons: List<Pair<List<Int>, List<Position>>>
    ) = trianglesWithBeacons
        .map { (triangle, beacons) ->
            val (_, matchingDetectedBeacons) = trianglesFromDetectedBeacons
                .single { (detectedTriangle, _) -> triangle == detectedTriangle }

            turns.flatMap { turn ->
                rotations.mapNotNull { rotation ->
                    val match = matchingDetectedBeacons[0]
                    val faced = beacons[0].face(turn, rotation)
                    val distance1 = match.distance(faced)
                    val distance2 = matchingDetectedBeacons[1].distance(beacons[1].face(turn, rotation))
                    val distance3 = matchingDetectedBeacons[2].distance(beacons[2].face(turn, rotation))

                    if (distance1 == distance2 && distance1 == distance3)
                        Correction(turn, rotation, faced.x - match.x, faced.y - match.y, faced.z - match.z)
                    else null
                }
            }.toSet()
        }
        .filterNot { corrections -> corrections.isEmpty() }
        .reduce { acc, corrections -> acc intersect corrections }
        .let { corrections ->
            if (corrections.size == 1) corrections.first() else throw IllegalStateException()
        }

    private fun Position.face(turn: Turn, rotation: Rotate) = when (turn to rotation) {
        Turn.NONE to Rotate.NONE -> this
        Turn.NONE to Rotate.CLOCKWISE -> Position(this.y, -this.x, this.z)
        Turn.NONE to Rotate.COUNTERCLOCKWISE -> Position(-this.y, this.x, this.z)
        Turn.NONE to Rotate.UPSIDE_DOWN -> Position(-this.x, -this.y, this.z)
        Turn.RIGHT to Rotate.NONE -> Position(this.z, this.y, -this.x)
        Turn.RIGHT to Rotate.CLOCKWISE -> Position(this.z, -this.x, -this.y)
        Turn.RIGHT to Rotate.COUNTERCLOCKWISE -> Position(this.z, this.x, this.y)
        Turn.RIGHT to Rotate.UPSIDE_DOWN -> Position(this.z, -this.y, this.x)
        Turn.LEFT to Rotate.NONE -> Position(-this.z, this.y, this.x)
        Turn.LEFT to Rotate.CLOCKWISE -> Position(-this.z, -this.x, this.y)
        Turn.LEFT to Rotate.COUNTERCLOCKWISE -> Position(-this.z, this.x, -this.y)
        Turn.LEFT to Rotate.UPSIDE_DOWN -> Position(-this.z, -this.y, -this.x)
        Turn.UP to Rotate.NONE -> Position(this.x, this.z, -this.y)
        Turn.UP to Rotate.CLOCKWISE -> Position(this.y, this.z, this.x)
        Turn.UP to Rotate.COUNTERCLOCKWISE -> Position(-this.y, this.z, -this.x)
        Turn.UP to Rotate.UPSIDE_DOWN -> Position(-this.x, this.z, this.y)
        Turn.DOWN to Rotate.NONE -> Position(this.x, -this.z, this.y)
        Turn.DOWN to Rotate.CLOCKWISE -> Position(-this.y, -this.z, this.x)
        Turn.DOWN to Rotate.COUNTERCLOCKWISE -> Position(this.y, -this.z, -this.x)
        Turn.DOWN to Rotate.UPSIDE_DOWN -> Position(-this.x, -this.z, -this.y)
        Turn.BACKWARDS to Rotate.NONE -> Position(-this.x, this.y, -this.z)
        Turn.BACKWARDS to Rotate.CLOCKWISE -> Position(this.y, this.x, -this.z)
        Turn.BACKWARDS to Rotate.COUNTERCLOCKWISE -> Position(-this.y, -this.x, -this.z)
        Turn.BACKWARDS to Rotate.UPSIDE_DOWN -> Position(this.x, -this.y, -this.z)
        else -> throw IllegalStateException()
    }

    private fun Position.distance(element: Position = Position(0, 0, 0)) =
        abs(this.x - element.x) + abs(this.y - element.y) + abs(this.z - element.z)

    private fun getScanners() = Util.getInputAsListOfString("day19-input.txt")
        .map {
            if (it.contains(','))
                it.split(',').let { s -> Position(s[0].toInt(), s[1].toInt(), s[2].toInt()) }
            else null
        }
        .splitWhen { it == null }
        .mapIndexed { index, it -> Scanner(index, it.filterNotNull().toSet()) }

    @Test
    fun `face Tests`() {
        assertEquals(Position(1, 2, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.NONE))
        assertEquals(Position(2, -1, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.CLOCKWISE))
        assertEquals(Position(-2, 1, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-1, -2, 3), Position(1, 2, 3).face(Turn.NONE, Rotate.UPSIDE_DOWN))

        assertEquals(Position(3, 2, -1), Position(1, 2, 3).face(Turn.RIGHT, Rotate.NONE))
        assertEquals(Position(3, -1, -2), Position(1, 2, 3).face(Turn.RIGHT, Rotate.CLOCKWISE))
        assertEquals(Position(3, 1, 2), Position(1, 2, 3).face(Turn.RIGHT, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(3, -2, 1), Position(1, 2, 3).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))

        assertEquals(Position(-3, 2, 1), Position(1, 2, 3).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-3, -1, 2), Position(1, 2, 3).face(Turn.LEFT, Rotate.CLOCKWISE))
        assertEquals(Position(-3, 1, -2), Position(1, 2, 3).face(Turn.LEFT, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-3, -2, -1), Position(1, 2, 3).face(Turn.LEFT, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, 3, -2), Position(1, 2, 3).face(Turn.UP, Rotate.NONE))
        assertEquals(Position(2, 3, 1), Position(1, 2, 3).face(Turn.UP, Rotate.CLOCKWISE))
        assertEquals(Position(-2, 3, -1), Position(1, 2, 3).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-1, 3, 2), Position(1, 2, 3).face(Turn.UP, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, -3, 2), Position(1, 2, 3).face(Turn.DOWN, Rotate.NONE))
        assertEquals(Position(-2, -3, 1), Position(1, 2, 3).face(Turn.DOWN, Rotate.CLOCKWISE))
        assertEquals(Position(2, -3, -1), Position(1, 2, 3).face(Turn.DOWN, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-1, -3, -2), Position(1, 2, 3).face(Turn.DOWN, Rotate.UPSIDE_DOWN))

        assertEquals(Position(-1, 2, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.NONE))
        assertEquals(Position(2, 1, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.CLOCKWISE))
        assertEquals(Position(-2, -1, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(1, -2, -3), Position(1, 2, 3).face(Turn.BACKWARDS, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, -1, 1), Position(-1, -1, 1).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(2, -2, 2), Position(-2, -2, 2).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(3, -3, 3), Position(-3, -3, 3).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(2, -1, 3), Position(-2, -3, 1).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(-5, 4, -6), Position(5, 6, -4).face(Turn.DOWN, Rotate.UPSIDE_DOWN))
        assertEquals(Position(-8, -7, 0), Position(8, 0, 7).face(Turn.DOWN, Rotate.UPSIDE_DOWN))

        assertEquals(Position(-1, -1, -1), Position(-1, -1, 1).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-2, -2, -2), Position(-2, -2, 2).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-3, -3, -3), Position(-3, -3, 3).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-1, -3, -2), Position(-2, -3, 1).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(4, 6, 5), Position(5, 6, -4).face(Turn.LEFT, Rotate.NONE))
        assertEquals(Position(-7, 0, 8), Position(8, 0, 7).face(Turn.LEFT, Rotate.NONE))

        assertEquals(Position(1, 1, -1), Position(-1, -1, 1).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(2, 2, -2), Position(-2, -2, 2).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(3, 3, -3), Position(-3, -3, 3).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(1, 3, -2), Position(-2, -3, 1).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(-4, -6, 5), Position(5, 6, -4).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))
        assertEquals(Position(7, 0, 8), Position(8, 0, 7).face(Turn.RIGHT, Rotate.UPSIDE_DOWN))

        assertEquals(Position(1, 1, 1), Position(-1, -1, 1).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(2, 2, 2), Position(-2, -2, 2).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(3, 3, 3), Position(-3, -3, 3).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(3, 1, 2), Position(-2, -3, 1).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(-6, -4, -5), Position(5, 6, -4).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
        assertEquals(Position(0, 7, -8), Position(8, 0, 7).face(Turn.UP, Rotate.COUNTERCLOCKWISE))
    }

    @Test
    fun `distance Tests`() {
        assertEquals(6, Position(0, 0, 0).distance(Position(1, 2, 3)))
        assertEquals(6, Position(1, 2, 3).distance())
        assertEquals(12, Position(-1, -2, -3).distance(Position(1, 2, 3)))
    }
}
