[orx-noise] Add hash functions
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@@ -3,6 +3,9 @@ package org.openrndr.extra.mesh.noise
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import org.openrndr.extra.mesh.IIndexedPolygon
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import org.openrndr.extra.mesh.IMeshData
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import org.openrndr.extra.mesh.IVertexData
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import org.openrndr.extra.noise.fhash1D
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import org.openrndr.extra.noise.uhash11
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import org.openrndr.extra.noise.uhash1D
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import org.openrndr.math.Vector3
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import kotlin.math.sqrt
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import kotlin.random.Random
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@@ -20,6 +23,23 @@ fun uniformBarycentric(random: Random = Random.Default): Vector3 {
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return Vector3(b0, b1, 1.0 - b0 - b1)
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}
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/**
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* Generate a uniformly distributed barycentric coordinate
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* @param random a random number generator
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*/
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fun hashBarycentric(seed: Int, x: Int): Vector3 {
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val u = fhash1D(seed, x)
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val v = fhash1D(seed, u.toRawBits().toInt() - x)
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val su0 = sqrt(u)
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val b0 = 1.0 - su0
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val b1 = v * su0
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return Vector3(b0, b1, 1.0 - b0 - b1)
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}
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/**
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* Generate a uniformly distributed point that lies inside this [IIndexedPolygon]
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* @param vertexData vertex data used to resolve positions
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@@ -33,6 +53,19 @@ fun IIndexedPolygon.uniform(vertexData: IVertexData, random: Random = Random.Def
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return x[0] * b.x + x[1] * b.y + x[2] * b.z
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}
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/**
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* Generate a uniformly distributed point that lies inside this [IIndexedPolygon]
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* @param vertexData vertex data used to resolve positions
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* @param random a random number generator
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*/
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fun IIndexedPolygon.hash(vertexData: IVertexData, seed:Int, x: Int): Vector3 {
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require(positions.size == 3) { "polygon must be a triangle"}
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val s = vertexData.positions.slice(positions)
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val b = hashBarycentric(seed, x)
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return s[0] * b.x + s[1] * b.y + s[2] * b.z
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}
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internal fun IIndexedPolygon.area(vertexData: IVertexData): Double {
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require(positions.size == 3) { "polygon must be a triangle"}
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val x = vertexData.positions.slice(positions)
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@@ -62,4 +95,27 @@ fun IMeshData.uniform(count: Int, random: Random = Random.Default): List<Vector3
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}
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}
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return result
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}
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/**
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* Generate points on the surface described by the mesh data
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*/
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fun IMeshData.hash(count: Int, seed:Int, x: Int): List<Vector3> {
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val triangulated = triangulate()
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val result = mutableListOf<Vector3>()
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val totalArea = triangulated.polygons.sumOf { it.area(vertexData) }
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val randoms = (0 until count).map {
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Pair(x + it, fhash1D(seed, x + it) * totalArea)
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}.sortedBy { it.second }
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var idx = 0
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var sum = 0.0
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for (t in triangulated.polygons) {
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sum += t.area(vertexData)
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while (idx <= randoms.lastIndex && sum > randoms[idx].second) {
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result.add(t.hash(vertexData, seed xor 0x7f7f7f, randoms[idx].first))
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idx++
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}
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}
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return result
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}
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