176 lines
5.3 KiB
Kotlin
176 lines
5.3 KiB
Kotlin
package org.openrndr.extra.hashgrid
|
|
import org.openrndr.math.Vector3
|
|
import kotlin.jvm.JvmRecord
|
|
import kotlin.math.abs
|
|
import kotlin.math.max
|
|
import kotlin.math.min
|
|
import kotlin.math.sqrt
|
|
import kotlin.random.Random
|
|
|
|
private fun Double.fastFloor(): Int {
|
|
return if (this >= 0) this.toInt() else this.toInt() - 1
|
|
}
|
|
|
|
@JvmRecord
|
|
private data class GridCoords3D(val x: Int, val y: Int, val z: Int) {
|
|
fun offset(i: Int, j: Int, k : Int): GridCoords3D = copy(x = x + i, y = y + j, z = z + k)
|
|
}
|
|
|
|
class Cell3D(val x: Int, val y: Int, val z: Int, val cellSize: Double) {
|
|
var xMin: Double = Double.POSITIVE_INFINITY
|
|
private set
|
|
var xMax: Double = Double.NEGATIVE_INFINITY
|
|
private set
|
|
var yMin: Double = Double.POSITIVE_INFINITY
|
|
private set
|
|
var yMax: Double = Double.NEGATIVE_INFINITY
|
|
private set
|
|
var zMin: Double = Double.POSITIVE_INFINITY
|
|
private set
|
|
var zMax: Double = Double.NEGATIVE_INFINITY
|
|
private set
|
|
|
|
val bounds: Box3D
|
|
get() {
|
|
return Box3D(Vector3(x * cellSize, y * cellSize, z * cellSize), cellSize, cellSize, cellSize)
|
|
}
|
|
|
|
val contentBounds: Box3D
|
|
get() {
|
|
return if (points.isEmpty()) {
|
|
Box3D.EMPTY
|
|
} else {
|
|
Box3D(Vector3(xMin, yMin, zMin), xMax - xMin, yMax - yMin, zMax - zMin)
|
|
}
|
|
}
|
|
|
|
internal val points = mutableListOf<Pair<Vector3, Any?>>()
|
|
internal fun insert(point: Vector3, owner: Any?) {
|
|
points.add(Pair(point, owner))
|
|
xMin = min(xMin, point.x)
|
|
xMax = max(xMax, point.x)
|
|
yMin = min(yMin, point.y)
|
|
yMax = max(yMax, point.y)
|
|
zMin = min(zMin, point.z)
|
|
zMax = max(zMax, point.z)
|
|
}
|
|
|
|
internal fun squaredDistanceTo(query: Vector3): Double {
|
|
val width = xMax - xMin
|
|
val height = yMax - yMin
|
|
val depth = zMax - zMin
|
|
val x = (xMin + xMax) / 2.0
|
|
val y = (yMin + yMax) / 2.0
|
|
val z = (zMin + zMax) / 2.0
|
|
val dx = max(abs(query.x - x) - width / 2, 0.0)
|
|
val dy = max(abs(query.y - y) - height / 2, 0.0)
|
|
val dz = max(abs(query.z - z) - depth / 2, 0.0)
|
|
return dx * dx + dy * dy + dz * dz
|
|
}
|
|
|
|
fun points() = sequence {
|
|
for (point in points) {
|
|
yield(point)
|
|
}
|
|
}
|
|
}
|
|
|
|
class HashGrid3D(val radius: Double) {
|
|
private val cells = mutableMapOf<GridCoords3D, Cell3D>()
|
|
fun cells() = sequence {
|
|
for (cell in cells.values) {
|
|
yield(cell)
|
|
}
|
|
}
|
|
|
|
var size: Int = 0
|
|
private set
|
|
|
|
val cellSize = radius / sqrt(3.0)
|
|
private fun coords(v: Vector3): GridCoords3D {
|
|
val x = (v.x / cellSize).fastFloor()
|
|
val y = (v.y / cellSize).fastFloor()
|
|
val z = (v.z / cellSize).fastFloor()
|
|
return GridCoords3D(x, y, z)
|
|
}
|
|
|
|
fun points() = sequence {
|
|
for (cell in cells.values) {
|
|
for (point in cell.points) {
|
|
yield(point)
|
|
}
|
|
}
|
|
}
|
|
|
|
fun random(random: Random = Random.Default): Vector3 {
|
|
return cells.values.random(random).points.random().first
|
|
}
|
|
|
|
fun insert(point: Vector3, owner: Any? = null) {
|
|
val gc = coords(point)
|
|
val cell = cells.getOrPut(gc) { Cell3D(gc.x, gc.y, gc.z, cellSize) }
|
|
cell.insert(point, owner)
|
|
size += 1
|
|
}
|
|
|
|
fun cell(query: Vector3): Cell3D? = cells[coords(query)]
|
|
|
|
fun isFree(query: Vector3, ignoreOwners: Set<Any> = emptySet()): Boolean {
|
|
val c = coords(query)
|
|
if (cells[c] == null) {
|
|
for (k in -2..2) {
|
|
for (j in -2..2) {
|
|
for (i in -2..2) {
|
|
if (i == 0 && j == 0 && k == 0) {
|
|
continue
|
|
}
|
|
val n = c.offset(i, j, k)
|
|
val nc = cells[n]
|
|
if (nc != null && nc.squaredDistanceTo(query) <= radius * radius) {
|
|
for (p in nc.points) {
|
|
if (p.second == null || p.second !in ignoreOwners) {
|
|
if (p.first.squaredDistanceTo(query) <= radius * radius) {
|
|
return false
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
return true
|
|
} else {
|
|
return cells[c]!!.points.all { it.second != null && it.second in ignoreOwners }
|
|
}
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Construct a hash grid containing all points in the list
|
|
* @param radius radius of the hash grid
|
|
*/
|
|
fun List<Vector3>.hashGrid(radius: Double): HashGrid3D {
|
|
val grid = HashGrid3D(radius)
|
|
for (point in this) {
|
|
grid.insert(point)
|
|
}
|
|
return grid
|
|
}
|
|
|
|
/**
|
|
* Return a list that only contains points at a minimum distance.
|
|
* @param radius the minimum distance between any two points in the returned list
|
|
*/
|
|
fun List<Vector3>.filter(radius: Double): List<Vector3> {
|
|
return if (size <= 1) {
|
|
this
|
|
} else {
|
|
val grid = HashGrid3D(radius)
|
|
for (point in this) {
|
|
if (grid.isFree(point)) {
|
|
grid.insert(point)
|
|
}
|
|
}
|
|
grid.points().map { it.first }.toList()
|
|
}
|
|
} |