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share functions in comb.js
This commit is contained in:
Casper Lamboo
parent
c642375295
commit
2c953496f7
214
comb.js
214
comb.js
@ -1,211 +1,5 @@
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import earcut from 'earcut';
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import { add, divide, distanceTo, normalize, subtract, normal, dot } from './src/sliceActions/helpers/vector2.js';
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function lineIntersection(a1, a2, b1, b2) {
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// source: http://mathworld.wolfram.com/Line-LineIntersection.html
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const intersection = {
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x: ((a1.x * a2.y - a1.y * a2.x) * (b1.x - b2.x) - (a1.x - a2.x) * (b1.x * b2.y - b1.y * b2.x)) / ((a1.x - a2.x) * (b1.y - b2.y) - (a1.y - a2.y) * (b1.x - b2.x)),
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y: ((a1.x * a2.y - a1.y * a2.x) * (b1.y - b2.y) - (a1.y - a2.y) * (b1.x * b2.y - b1.y * b2.x)) / ((a1.x - a2.x) * (b1.y - b2.y) - (a1.y - a2.y) * (b1.x - b2.x))
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};
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const intersectionA = subtract(intersection, a1);
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const directionA = subtract(a2, a1);
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const normalA = normalize(directionA);
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const distanceA = dot(normalA, intersectionA);
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if (distanceA < 0 || distanceA > dot(normalA, directionA)) return false;
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const intersectionB = subtract(intersection, b1);
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const directionB = subtract(b2, b1);
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const normalB = normalize(directionB);
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const distanceB = dot(normalB, intersectionB);
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if (distanceB < 0 || distanceB > dot(normalB, directionB)) return false;
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return intersection;
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}
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function pointIsInsideConvex(point, convex, vertices) {
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for (let i = 0; i < convex.length; i ++) {
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const vertexA = vertices[convex[i]];
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const vertexB = vertices[convex[(i + 1) % convex.length]];
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const n = normalize(normal(subtract(vertexB, vertexA)));
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const p = subtract(point, vertexA);
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if (dot(p, n) < 0) return false;
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}
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return true;
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}
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function decompose(polygon) {
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const vertices = polygon.reduce((points, path) => {
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points.push(...path);
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return points;
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}, []);
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const flatVertices = vertices.reduce((points, { x, y }) => {
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points.push(x, y);
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return points;
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}, []);
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let offset = 0;
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const holes = polygon
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.map(path => offset += path.length)
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.slice(0, -1);
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const flatTrainglesIndexed = earcut(flatVertices, holes);
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const convexPolygons = [];
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for (let i = 0; i < flatTrainglesIndexed.length; i += 3) {
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const face = [
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flatTrainglesIndexed[i],
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flatTrainglesIndexed[i + 1],
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flatTrainglesIndexed[i + 2]
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];
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const center = divide(face.reduce((total, point) => {
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if (!total) {
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return vertices[point];
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} else {
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return add(total, vertices[point]);
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}
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}, null), face.length);
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convexPolygons.push({
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center,
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face,
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connects: []
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});
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}
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for (let i = 0; i < convexPolygons.length; i ++) {
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for (let j = i + 1; j < convexPolygons.length; j ++) {
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const triangleIndexedA = convexPolygons[i];
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const triangleIndexedB = convexPolygons[j];
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const overlap = [];
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triangleIndexedA.face.map(index => {
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if (triangleIndexedB.face.includes(index)) overlap.push(index);
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});
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if (overlap.length === 2) {
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const distance = distanceTo(convexPolygons[i].center, convexPolygons[j].center);
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triangleIndexedA.connects.push({ to: j, edge: overlap, distance });
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triangleIndexedB.connects.push({ to: i, edge: overlap, distance });
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}
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}
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}
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return { vertices, convexPolygons };
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}
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// const distanceMap = new WeakMap();
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// function findClosestPath(convexPolygons, start, end, visited = [], path = [], distance = 0) {
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// if (start === end) return [];
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//
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// visited = [...visited, start];
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//
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// const { connects } = convexPolygons[start];
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//
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// const finish = connects.find(({ to }) => to === end);
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// if (finish) return [...path, finish];
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//
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// const posibilities = [];
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// for (let i = 0; i < connects.length; i ++) {
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// const connect = connects[i];
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// if (visited.includes(connect.to)) continue;
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//
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// const positibiltyDistance = distance + connect.distance;
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// const posibility = findClosestPath(convexPolygons, connect.to, end, visited, [...path, connect], positibiltyDistance);
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// if (posibility) {
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// posibilities.push(posibility);
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// distanceMap.set(posibility, positibiltyDistance);
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// }
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// }
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//
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// if (posibilities.length === 0) {
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// return null;
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// } else if (posibilities.length === 1) {
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// return posibilities[0];
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// } else if (posibilities.length > 1) {
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// return posibilities.sort((a, b) => distanceMap.get(a) - distanceMap.get(b))[0];
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// }
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// }
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const findKey = _key => ({ key }) => _key === key;
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function findClosestPath(map, start, end) {
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// dijkstra's algorithm
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const distances = { [start]: 0 };
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const open = [{ key: 0, nodes: [start] }];
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const predecessors = {};
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while (open.length !== 0) {
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const key = Math.min(...open.map(n => n.key).sort());
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const bucket = open.find(findKey(key));
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const node = bucket.nodes.shift();
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const currentDistance = key;
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const { connects } = map[node];
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if (bucket.nodes.length === 0) open.splice(open.indexOf(bucket), 1);
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for (let i = 0; i < connects.length; i ++) {
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const { distance, to } = connects[i];
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const totalDistance = distance + currentDistance;
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const vertexDistance = distances[to];
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if ((typeof vertexDistance === 'undefined') || (vertexDistance > totalDistance)) {
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distances[to] = totalDistance;
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let openNode = open.find(findKey(totalDistance));
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if (!openNode) {
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openNode = { key: totalDistance, nodes: [] };
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open.push(openNode);
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}
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openNode.nodes.push(to);
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predecessors[to] = node;
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}
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}
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}
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if (typeof distances[end] === 'undefined') return null;
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const nodes = [];
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let node = end;
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while (typeof node !== 'undefined') {
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nodes.push(node);
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node = predecessors[node];
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}
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nodes.reverse();
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const path = [];
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for (let i = 1; i < nodes.length; i ++) {
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const from = nodes[i - 1];
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const to = nodes[i];
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const connection = map[from].connects.find(connect => connect.to === to);
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path.push(connection);
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}
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return path;
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}
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function containLineInPath(path, start, end, vertices) {
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const line = [start];
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for (let i = 0; i < path.length; i ++) {
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const { edge: [indexA, indexB] } = path[i];
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const vertexA = vertices[indexA];
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const vertexB = vertices[indexB];
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const intersection = lineIntersection(start, end, vertexA, vertexB);
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if (!intersection) {
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const lastPoint = line[line.length - 1];
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const distanceA = distanceTo(lastPoint, vertexA) + distanceTo(vertexA, end);
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const distanceB = distanceTo(lastPoint, vertexB) + distanceTo(vertexB, end);
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line.push(distanceA < distanceB ? vertexA : vertexB);
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}
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}
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line.push(end);
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return line;
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}
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import { pointIsInsideConvex, decompose, findClosestPath, containLineInPath } from './src/sliceActions/helpers/comb.js';
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const canvas = document.createElement('canvas');
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document.body.appendChild(canvas);
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@ -228,8 +22,8 @@ function circle(radius = 10, x = 0, y = 0, clockWise = true, segments = 40) {
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return shape;
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}
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const START = { x: 300, y: 40 };
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const END = { x: 300, y: 20 };
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const START = { x: 30, y: 550 };
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const END = { x: 400, y: 300 };
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// const CONCAVE_POLYGON = [[
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// { x: 10, y: 10 },
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// { x: 600, y: 10 },
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@ -240,7 +34,7 @@ const END = { x: 300, y: 20 };
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// { x: 160, y: 120 },
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// { x: 120, y: 400 },
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// { x: 400, y: 400 }
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// ], circle(50, 300, 100, false)];
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// ]];
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const CONCAVE_POLYGON = [
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circle(300, 305, 305, true),
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circle(40, 305, 105, false),
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@ -43,7 +43,7 @@ function lineIntersection(a1, a2, b1, b2) {
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return intersection;
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}
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function pointIsInsideConvex(point, convex, vertices) {
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export function pointIsInsideConvex(point, convex, vertices) {
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for (let i = 0; i < convex.length; i ++) {
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const vertexA = vertices[convex[i]];
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const vertexB = vertices[convex[(i + 1) % convex.length]];
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@ -56,7 +56,7 @@ function pointIsInsideConvex(point, convex, vertices) {
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return true;
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}
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function decompose(polygon) {
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export function decompose(polygon) {
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const vertices = polygon.reduce((points, path) => {
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points.push(...path);
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return points;
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@ -114,7 +114,7 @@ function decompose(polygon) {
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}
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// const distanceMap = new WeakMap();
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// function findClosestPath(convexPolygons, start, end, visited = [], path = [], distance = 0) {
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// export function findClosestPath(convexPolygons, start, end, visited = [], path = [], distance = 0) {
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// if (start === end) return [];
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//
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// visited = [...visited, start];
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@ -147,7 +147,7 @@ function decompose(polygon) {
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// }
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const findKey = _key => ({ key }) => _key === key;
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function findClosestPath(map, start, end) {
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export function findClosestPath(map, start, end) {
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// dijkstra's algorithm
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const distances = { [start]: 0 };
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const open = [{ key: 0, nodes: [start] }];
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@ -204,7 +204,7 @@ function findClosestPath(map, start, end) {
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return path;
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}
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function containLineInPath(path, start, end, vertices) {
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export function containLineInPath(path, start, end, vertices) {
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let line = [start];
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for (let i = 0; i < path.length; i ++) {
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@ -215,7 +215,7 @@ function containLineInPath(path, start, end, vertices) {
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const intersection = lineIntersection(lastPoint, end, vertexA, vertexB);
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if (!intersection) {
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line = containLineInPath(path.slice(0, i), start, lastPoint, vertices);
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// line = containLineInPath(path.slice(0, i), start, lastPoint, vertices);
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const distanceA = distanceTo(lastPoint, vertexA) + distanceTo(vertexA, end);
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const distanceB = distanceTo(lastPoint, vertexB) + distanceTo(vertexB, end);
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