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refactor: voronoi
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16 changed files with 1912 additions and 171 deletions
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@ -1,7 +1,6 @@
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import * as d3 from "d3";
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import {ERROR, TIME} from "config/logging";
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import {reMarkFeatures} from "modules/markup";
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import {clipPoly} from "utils/lineUtils";
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import {round} from "utils/stringUtils";
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import {Ruler} from "modules/measurers";
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@ -9,7 +8,6 @@ import {Ruler} from "modules/measurers";
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// Detect and draw the coastline
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export function drawCoastline() {
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TIME && console.time("drawCoastline");
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reMarkFeatures();
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const {cells, vertices, features} = pack;
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const n = cells.i.length;
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@ -207,6 +207,8 @@ export function resolveVersionConflicts(version) {
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defs.select("#water").selectAll("path").remove();
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coastline.selectAll("path").remove();
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lakes.selectAll("path").remove();
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reMarkFeatures();
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drawCoastline();
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}
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@ -388,6 +388,7 @@ async function parseLoadedData(data) {
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grid = JSON.parse(data[6]);
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const {cells, vertices} = calculateVoronoi(grid.points, grid.boundary);
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grid.cells = cells;
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grid.vertices = vertices;
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@ -96,7 +96,7 @@ function markup({
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}
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// Re-mark features (ocean, lakes, islands)
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export function reMarkFeatures() {
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export function reMarkFeatures(pack: IPackBase, grid: IGrid) {
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TIME && console.time("reMarkFeatures");
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const {cells} = pack;
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const features: TPackFeatures = [0];
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@ -165,7 +165,7 @@ export function reMarkFeatures() {
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}
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// markupPackLand
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markup({graph: pack, distanceField: pack.cells.t, start: 3, increment: 1, limit: INT8_MAX});
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markup({graph: pack, distanceField: cells.t, start: 3, increment: 1, limit: INT8_MAX});
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function defineOceanGroup(number: number) {
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if (number > grid.cells.i.length / 25) return "ocean";
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@ -130,6 +130,7 @@ window.Submap = (function () {
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// remove misclassified cells
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stage("Define coastline.");
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reMarkFeatures();
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drawCoastline();
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/****************************************************/
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@ -1,142 +0,0 @@
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export class Voronoi {
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/**
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* Creates a Voronoi diagram from the given Delaunator, a list of points, and the number of points. The Voronoi diagram is constructed using (I think) the {@link https://en.wikipedia.org/wiki/Bowyer%E2%80%93Watson_algorithm |Bowyer-Watson Algorithm}
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* The {@link https://github.com/mapbox/delaunator/ |Delaunator} library uses {@link https://en.wikipedia.org/wiki/Doubly_connected_edge_list |half-edges} to represent the relationship between points and triangles.
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* @param {{triangles: Uint32Array, halfedges: Int32Array}} delaunay A {@link https://github.com/mapbox/delaunator/blob/master/index.js |Delaunator} instance.
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* @param {[number, number][]} points A list of coordinates.
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* @param {number} pointsN The number of points.
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*/
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constructor(delaunay, points, pointsN) {
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this.delaunay = delaunay;
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this.points = points;
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this.pointsN = pointsN;
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this.cells = {v: [], c: [], b: []}; // voronoi cells: v = cell vertices, c = adjacent cells, b = near-border cell
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this.vertices = {p: [], v: [], c: []}; // cells vertices: p = vertex coordinates, v = neighboring vertices, c = adjacent cells
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// Half-edges are the indices into the delaunator outputs:
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// delaunay.triangles[e] gives the point ID where the half-edge starts
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// delaunay.halfedges[e] returns either the opposite half-edge in the adjacent triangle, or -1 if there's not an adjacent triangle.
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for (let e = 0; e < this.delaunay.triangles.length; e++) {
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const p = this.delaunay.triangles[this.nextHalfedge(e)];
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if (p < this.pointsN && !this.cells.c[p]) {
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const edges = this.edgesAroundPoint(e);
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this.cells.v[p] = edges.map(e => this.triangleOfEdge(e)); // cell: adjacent vertex
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this.cells.c[p] = edges.map(e => this.delaunay.triangles[e]).filter(c => c < this.pointsN); // cell: adjacent valid cells
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this.cells.b[p] = edges.length > this.cells.c[p].length ? 1 : 0; // cell: is border
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}
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const t = this.triangleOfEdge(e);
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if (!this.vertices.p[t]) {
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this.vertices.p[t] = this.triangleCenter(t); // vertex: coordinates
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this.vertices.v[t] = this.trianglesAdjacentToTriangle(t); // vertex: adjacent vertices
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this.vertices.c[t] = this.pointsOfTriangle(t); // vertex: adjacent cells
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}
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}
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}
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/**
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* Gets the IDs of the points comprising the given triangle. Taken from {@link https://mapbox.github.io/delaunator/#triangle-to-points| the Delaunator docs.}
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* @param {number} t The index of the triangle
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* @returns {[number, number, number]} The IDs of the points comprising the given triangle.
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*/
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pointsOfTriangle(t) {
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return this.edgesOfTriangle(t).map(edge => this.delaunay.triangles[edge]);
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}
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/**
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* Identifies what triangles are adjacent to the given triangle. Taken from {@link https://mapbox.github.io/delaunator/#triangle-to-triangles| the Delaunator docs.}
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* @param {number} t The index of the triangle
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* @returns {number[]} The indices of the triangles that share half-edges with this triangle.
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*/
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trianglesAdjacentToTriangle(t) {
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let triangles = [];
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for (let edge of this.edgesOfTriangle(t)) {
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let opposite = this.delaunay.halfedges[edge];
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triangles.push(this.triangleOfEdge(opposite));
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}
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return triangles;
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}
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/**
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* Gets the indices of all the incoming and outgoing half-edges that touch the given point. Taken from {@link https://mapbox.github.io/delaunator/#point-to-edges| the Delaunator docs.}
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* @param {number} start The index of an incoming half-edge that leads to the desired point
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* @returns {number[]} The indices of all half-edges (incoming or outgoing) that touch the point.
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*/
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edgesAroundPoint(start) {
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const result = [];
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let incoming = start;
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do {
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result.push(incoming);
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const outgoing = this.nextHalfedge(incoming);
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incoming = this.delaunay.halfedges[outgoing];
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} while (incoming !== -1 && incoming !== start && result.length < 20);
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return result;
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}
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/**
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* Returns the center of the triangle located at the given index.
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* @param {number} t The index of the triangle
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* @returns {[number, number]}
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*/
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triangleCenter(t) {
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let vertices = this.pointsOfTriangle(t).map(p => this.points[p]);
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return this.circumcenter(vertices[0], vertices[1], vertices[2]);
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}
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/**
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* Retrieves all of the half-edges for a specific triangle `t`. Taken from {@link https://mapbox.github.io/delaunator/#edge-and-triangle| the Delaunator docs.}
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* @param {number} t The index of the triangle
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* @returns {[number, number, number]} The edges of the triangle.
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*/
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edgesOfTriangle(t) {
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return [3 * t, 3 * t + 1, 3 * t + 2];
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}
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/**
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* Enables lookup of a triangle, given one of the half-edges of that triangle. Taken from {@link https://mapbox.github.io/delaunator/#edge-and-triangle| the Delaunator docs.}
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* @param {number} e The index of the edge
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* @returns {number} The index of the triangle
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*/
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triangleOfEdge(e) {
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return Math.floor(e / 3);
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}
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/**
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* Moves to the next half-edge of a triangle, given the current half-edge's index. Taken from {@link https://mapbox.github.io/delaunator/#edge-to-edges| the Delaunator docs.}
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* @param {number} e The index of the current half edge
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* @returns {number} The index of the next half edge
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*/
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nextHalfedge(e) {
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return e % 3 === 2 ? e - 2 : e + 1;
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}
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/**
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* Moves to the previous half-edge of a triangle, given the current half-edge's index. Taken from {@link https://mapbox.github.io/delaunator/#edge-to-edges| the Delaunator docs.}
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* @param {number} e The index of the current half edge
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* @returns {number} The index of the previous half edge
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*/
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prevHalfedge(e) {
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return e % 3 === 0 ? e + 2 : e - 1;
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}
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/**
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* Finds the circumcenter of the triangle identified by points a, b, and c. Taken from {@link https://en.wikipedia.org/wiki/Circumscribed_circle#Circumcenter_coordinates| Wikipedia}
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* @param {[number, number]} a The coordinates of the first point of the triangle
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* @param {[number, number]} b The coordinates of the second point of the triangle
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* @param {[number, number]} c The coordinates of the third point of the triangle
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* @return {[number, number]} The coordinates of the circumcenter of the triangle.
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*/
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circumcenter(a, b, c) {
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const [ax, ay] = a;
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const [bx, by] = b;
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const [cx, cy] = c;
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const ad = ax * ax + ay * ay;
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const bd = bx * bx + by * by;
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const cd = cx * cx + cy * cy;
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const D = 2 * (ax * (by - cy) + bx * (cy - ay) + cx * (ay - by));
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return [
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Math.floor((1 / D) * (ad * (by - cy) + bd * (cy - ay) + cd * (ay - by))),
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Math.floor((1 / D) * (ad * (cx - bx) + bd * (ax - cx) + cd * (bx - ax)))
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];
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}
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}
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114
src/modules/voronoi.ts
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114
src/modules/voronoi.ts
Normal file
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@ -0,0 +1,114 @@
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// creates a Voronoi diagram from the given Delaunator, a list of points, and the number of points
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// based on https://mapbox.github.io/delaunator
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interface Delaunay {
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triangles: Uint32Array;
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halfedges: Int32Array;
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}
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type Number3 = [number, number, number];
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export class Voronoi {
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private readonly delaunay: Delaunay;
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private readonly points: TPoints;
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private readonly pointsN: number;
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// voronoi cells: v = cell vertices, c = adjacent cells, b = near-border cell
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public readonly cells: {v: number[][]; c: number[][]; b: (0 | 1)[]};
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// cells vertices: p = vertex coordinates, v = neighboring vertices, c = adjacent cells
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public readonly vertices: {p: TPoints; v: Number3[]; c: Number3[]};
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constructor(delaunay: Delaunay, points: TPoints, pointsN: number) {
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this.delaunay = delaunay;
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this.points = points;
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this.pointsN = pointsN;
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this.cells = {v: [], c: [], b: []};
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this.vertices = {p: [], v: [], c: []};
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// Half-edges are the indices into the delaunator outputs:
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// delaunay.triangles[e] gives the point ID where the half-edge starts
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// delaunay.halfedges[e] returns either the opposite half-edge in the adjacent triangle, or -1 if there's not an adjacent triangle
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for (let e = 0; e < this.delaunay.triangles.length; e++) {
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const p = this.delaunay.triangles[this.nextHalfedge(e)];
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if (p < this.pointsN && !this.cells.c[p]) {
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const edges = this.edgesAroundPoint(e);
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this.cells.v[p] = edges.map(e => this.triangleOfEdge(e)); // cell: adjacent vertex
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this.cells.c[p] = edges.map(e => this.delaunay.triangles[e]).filter(c => c < this.pointsN); // cell: adjacent valid cells
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this.cells.b[p] = edges.length > this.cells.c[p].length ? 1 : 0; // cell: is border
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}
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const t = this.triangleOfEdge(e);
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if (!this.vertices.p[t]) {
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this.vertices.p[t] = this.triangleCenter(t); // vertex: coordinates
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this.vertices.v[t] = this.trianglesAdjacentToTriangle(t); // vertex: adjacent vertices
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this.vertices.c[t] = this.pointsOfTriangle(t); // vertex: adjacent cells
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}
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}
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}
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// Gets the indices of all the incoming and outgoing half-edges that touch the given point
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edgesAroundPoint(start: number): number[] {
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const result = [];
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let incoming = start;
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do {
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result.push(incoming);
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const outgoing = this.nextHalfedge(incoming);
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incoming = this.delaunay.halfedges[outgoing];
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} while (incoming !== -1 && incoming !== start && result.length < 20);
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return result;
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}
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// Retrieves all of the half-edges for a specific triangle
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edgesOfTriangle(t: number): Number3 {
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return [3 * t, 3 * t + 1, 3 * t + 2];
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}
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// Gets the IDs of the points comprising the given triangle
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pointsOfTriangle(t: number) {
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return this.edgesOfTriangle(t).map(edge => this.delaunay.triangles[edge]) as Number3;
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}
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// Identifies what triangles are adjacent to the given triangle
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trianglesAdjacentToTriangle(t: number) {
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let triangles = [];
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for (let edge of this.edgesOfTriangle(t)) {
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let opposite = this.delaunay.halfedges[edge];
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triangles.push(this.triangleOfEdge(opposite));
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}
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return triangles as Number3;
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}
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// Returns the center of the triangle located at the given index.
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triangleCenter(t: number): TPoint {
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let vertices = this.pointsOfTriangle(t).map(p => this.points[p]);
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return this.circumcenter(vertices);
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}
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// Enables lookup of a triangle, given one of the half-edges of that triangle
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triangleOfEdge(e: number): number {
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return Math.floor(e / 3);
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}
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// Moves to the next half-edge of a triangle, given the current half-edge's index
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nextHalfedge(e: number): number {
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return e % 3 === 2 ? e - 2 : e + 1;
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}
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// Moves to the previous half-edge of a triangle, given the current half-edge's index
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prevHalfedge(e: number): number {
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return e % 3 === 0 ? e + 2 : e - 1;
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}
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// Finds the circumcenter of the triangle identified by points a, b, and c
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circumcenter([[ax, ay], [bx, by], [cx, cy]]: TPoint[]): TPoint {
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const ad = ax * ax + ay * ay;
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const bd = bx * bx + by * by;
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const cd = cx * cx + cy * cy;
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const D = 2 * (ax * (by - cy) + bx * (cy - ay) + cx * (ay - by));
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return [
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Math.floor((1 / D) * (ad * (by - cy) + bd * (cy - ay) + cd * (ay - by))),
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Math.floor((1 / D) * (ad * (cx - bx) + bd * (ax - cx) + cd * (bx - ax)))
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];
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}
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}
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