first commit
This commit is contained in:
Christian Lawson-Perfect
commit
beb51dbb5c
5 changed files with 468 additions and 0 deletions
1
.gitignore
vendored
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1
.gitignore
vendored
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.make.*
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201
geometries.js
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201
geometries.js
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import * as THREE from 'three';
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import { ConvexHull } from 'three/addons/math/ConvexHull.js';
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const {BufferGeometry, Float32BufferAttribute, Vector3} = THREE;
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export class ConvexGeometry extends BufferGeometry {
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constructor( points = [] ) {
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super();
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this.convexHull = new ConvexHull();
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this.setFromPoints(points);
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}
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setFromPoints(points) {
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const {convexHull} = this;
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convexHull.setFromPoints(points);
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// buffers
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const vertices = [];
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const normals = [];
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// generate vertices and normals
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const faces = convexHull.faces;
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for ( let i = 0; i < faces.length; i ++ ) {
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const face = faces[ i ];
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let edge = face.edge;
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// we move along a doubly-connected edge list to access all face points (see HalfEdge docs)
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do {
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const point = edge.head().point;
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vertices.push( point.x, point.y, point.z );
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normals.push( face.normal.x, face.normal.y, face.normal.z );
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edge = edge.next;
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} while ( edge !== face.edge );
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}
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// build geometry
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this.setAttribute( 'position', new Float32BufferAttribute( vertices, 3 ) );
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this.setAttribute( 'normal', new Float32BufferAttribute( normals, 3 ) );
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}
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}
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export class WireframeGeometry extends BufferGeometry {
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constructor( geometry = null ) {
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super();
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this.type = 'WireframeGeometry';
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this.parameters = {
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geometry: geometry
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};
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this.update();
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}
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update() {
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const {geometry} = this.parameters;
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if ( geometry !== null ) {
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// buffer
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const vertices = [];
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const edges = new Set();
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// helper variables
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const start = new Vector3();
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const end = new Vector3();
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if ( geometry.index !== null ) {
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// indexed BufferGeometry
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const position = geometry.attributes.position;
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const indices = geometry.index;
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let groups = geometry.groups;
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if ( groups.length === 0 ) {
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groups = [ { start: 0, count: indices.count, materialIndex: 0 } ];
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}
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// create a data structure that contains all edges without duplicates
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for ( let o = 0, ol = groups.length; o < ol; ++ o ) {
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const group = groups[ o ];
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const groupStart = group.start;
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const groupCount = group.count;
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for ( let i = groupStart, l = ( groupStart + groupCount ); i < l; i += 3 ) {
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for ( let j = 0; j < 3; j ++ ) {
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const index1 = indices.getX( i + j );
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const index2 = indices.getX( i + ( j + 1 ) % 3 );
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start.fromBufferAttribute( position, index1 );
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end.fromBufferAttribute( position, index2 );
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if ( isUniqueEdge( start, end, edges ) === true ) {
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vertices.push( start.x, start.y, start.z );
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vertices.push( end.x, end.y, end.z );
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}
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}
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}
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}
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} else {
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// non-indexed BufferGeometry
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const position = geometry.attributes.position;
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for ( let i = 0, l = ( position.count / 3 ); i < l; i ++ ) {
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for ( let j = 0; j < 3; j ++ ) {
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// three edges per triangle, an edge is represented as (index1, index2)
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// e.g. the first triangle has the following edges: (0,1),(1,2),(2,0)
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const index1 = 3 * i + j;
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const index2 = 3 * i + ( ( j + 1 ) % 3 );
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start.fromBufferAttribute( position, index1 );
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end.fromBufferAttribute( position, index2 );
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if ( isUniqueEdge( start, end, edges ) === true ) {
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vertices.push( start.x, start.y, start.z );
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vertices.push( end.x, end.y, end.z );
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}
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}
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}
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}
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// build geometry
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this.setAttribute( 'position', new Float32BufferAttribute( vertices, 3 ) );
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}
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}
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copy( source ) {
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super.copy( source );
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this.parameters = Object.assign( {}, source.parameters );
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return this;
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}
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}
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export function isUniqueEdge( start, end, edges ) {
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const hash1 = `${start.x},${start.y},${start.z}-${end.x},${end.y},${end.z}`;
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const hash2 = `${end.x},${end.y},${end.z}-${start.x},${start.y},${start.z}`; // coincident edge
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if ( edges.has( hash1 ) === true || edges.has( hash2 ) === true ) {
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return false;
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} else {
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edges.add( hash1 );
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edges.add( hash2 );
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return true;
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}
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}
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47
index.html
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47
index.html
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<!doctype html>
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<html lang="en">
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<head>
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width">
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<title>Thomson problem</title>
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<script type="importmap">
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{
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"imports": {
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"three": "https://cdn.jsdelivr.net/npm/three@0.173.0/build/three.module.js",
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"three/addons/": "https://cdn.jsdelivr.net/npm/three@0.173.0/examples/jsm/"
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}
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}
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</script>
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<script type="module" src="script.js"></script>
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<link rel="stylesheet" href="style.css"/>
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</head>
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<body>
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<section id="controls">
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<datalist id="heights">
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<option value="1"/>
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<option value="1.3">
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</datalist>
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<datalist id="scales">
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<option value="0.86"/>
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</datalist>
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<div>
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<label for="h1"><math><msub><mi>h</mi><mn>1</mn></msup></math>:</label>
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<input type="range" min="0" max="2" value="1" step="0.01" id="h1" list="heights">
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</div>
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<div>
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<label for="h2"><math><msub><mi>h</mi><mn>2</mn></msup></math>:</label>
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<input type="range" min="0" max="2" value="1.33" step="0.02" id="h2" list="heights">
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</div>
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<div>
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<label for="scale">Scale:</label>
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<input type="range" min="0" max="1" value="0.86" step="0.02" id="scale" list="scales">
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</div>
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</section>
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<section id="three-container"></section>
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<footer>
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<a href="https://somethingorotherwhatever.com">made by clp</a>
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</footer>
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</body>
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</html>
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145
script.js
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145
script.js
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import * as THREE from 'three';
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import { OrbitControls } from 'three/addons/controls/OrbitControls.js';
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import { STLExporter } from 'three/addons/exporters/STLExporter.js';
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import { ConvexHull } from 'three/addons/math/ConvexHull.js';
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const {BufferGeometry, Float32BufferAttribute, Vector3} = THREE;
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import {ConvexGeometry, WireframeGeometry} from './geometries.js';
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const scene = new THREE.Scene();
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const width = window.innerWidth;
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const height = window.innerHeight;
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const w = width<height ? 1.3 : (width/height * 1.3);
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const h = height/width * w;
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const camera = new THREE.OrthographicCamera( -w, w, h, -h, 0, 100);
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scene.background = new THREE.Color(0xc49879);
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// Create a directional light
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const light = new THREE.DirectionalLight(0xffffff, 1.0);
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// move the light back and up a bit
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light.position.set(0, 3, 3);
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scene.add(light);
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scene.add(new THREE.AmbientLight(0xffffff))
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window.v3 = Vector3;
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const renderer = new THREE.WebGLRenderer({antialias:true});
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renderer.setSize( width, height );
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document.getElementById('three-container').appendChild( renderer.domElement );
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const scale = 1.5;
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renderer.domElement.width = scale*width;
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renderer.domElement.height = scale*height;
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renderer.setViewport(0,0,scale*width, scale*height);
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function make_points(h1,h2) {
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h1 = new Vector3(0,0,h1);
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h2 = new Vector3(0,0,h2);
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const [v1,v3,v10] = [0,1,2].map(i => {
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const an = Math.PI*2 * i/3;
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return new Vector3(Math.cos(an),Math.sin(an),0);
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});
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const v0 = v1.clone().add(v3).divideScalar(2).sub(h1);
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const v2 = v1.clone().add(v3).divideScalar(2).add(h1);
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const v4 = v1.clone().add(v3).add(v10).divideScalar(3).sub(h2);
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const v7 = v1.clone().add(v3).add(v10).divideScalar(3).add(h2);
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const v5 = v1.clone().add(v10).divideScalar(2).sub(h1);
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const v6 = v1.clone().add(v10).divideScalar(2).add(h1);
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const v8 = v3.clone().add(v10).divideScalar(2).add(h1);
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const v9 = v3.clone().add(v10).divideScalar(2).sub(h1);
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const points = [v0,v1,v2,v3,v4,v5,v6,v7,v8,v9,v10];
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/*
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const x1 = 0.2;
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const x2 = 0.4;
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const y = 0.5;
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const points = [
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[1,0,0], // 0
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[0,1,0], // 1
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[-1,0,0], // 2
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[0,-1,0], // 3
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[x2,0,h1], // 4
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[x1,y,h2], // 5
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[-x1,y,h2], // 6
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[-x2,0,h1], // 7
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[-x1,-y,h2], // 8
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[x1,-y,h2], // 9
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[0,0,h1+h2] // 10
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].map(p => new Vector3(...p));
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const [v0,v1,v2,v3,v4,v5,v6,v7,v8,v9,v10] = points;
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*/
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const edges = [
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v0,v1,
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v0,v4,
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v0,v3,
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v1,v2,
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v1,v6,
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v1,v5,
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v2,v3,
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v2,v7,
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v3,v8,
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v3,v9,
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v4,v5,
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v4,v9,
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v5,v10,
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v6,v7,
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v6,v10,
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v7,v8,
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v8,v10,
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v9,v10
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].flatMap(p => [p.x,p.y,p.z]);
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return {points,edges};
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}
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const hull_geometry = new ConvexGeometry( [] );
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const hull_material = new THREE.MeshStandardMaterial( { color: 0x93c8ee, transparent: true} );
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const hull = new THREE.Mesh( hull_geometry, hull_material );
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hull.renderOrder = -1;
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scene.add( hull );
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const wireframe = new BufferGeometry( [] );
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const line = new THREE.LineSegments( wireframe, new THREE.LineBasicMaterial({color: 0x0, transparent: true}) );
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line.renderOrder = -1;
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scene.add( line );
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camera.position.z = 1.8;
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const controls = new OrbitControls( camera, renderer.domElement );
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hull.rotation.x = line.rotation.x = -Math.PI/2;
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//hull.position.y = line.position.y = -0.5;
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let i = 0;
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function animate() {
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i += 1;
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const an = i/100;
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controls.update();
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renderer.render( scene, camera );
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const h1 = document.getElementById('h1').valueAsNumber;
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const h2 = document.getElementById('h2').valueAsNumber;
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const scale = document.getElementById('scale').valueAsNumber;
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const {points, edges} = make_points(h1 * scale, h2 * scale);
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hull_geometry.setFromPoints(points);
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//hull_geometry.setAttribute('position', new THREE.BufferAttribute(new Float32Array(faces), 3))
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wireframe.setAttribute('position', new Float32BufferAttribute(edges,3));
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}
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renderer.setAnimationLoop( animate );
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function vlen([x,y,z]) {
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return Math.sqrt(x**2+y**2+z**2);
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}
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74
style.css
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74
style.css
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/* Instrument Sans variable italic latin */
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@font-face {
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font-family: 'Instrument Sans';
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font-style: italic;
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font-display: swap;
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font-weight: 400 700;
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font-stretch: 75 100;
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src: url(https://cdn.jsdelivr.net/fontsource/fonts/instrument-sans:vf@latest/latin-wdth-italic.woff2) format('woff2-variations');
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unicode-range: U+0000-00FF,U+0131,U+0152-0153,U+02BB-02BC,U+02C6,U+02DA,U+02DC,U+0304,U+0308,U+0329,U+2000-206F,U+20AC,U+2122,U+2191,U+2193,U+2212,U+2215,U+FEFF,U+FFFD;
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}
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/* Instrument Sans variable normal latin */
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@font-face {
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font-family: 'Instrument Sans';
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font-style: normal;
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font-display: swap;
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font-weight: 400 700;
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font-stretch: 75 100;
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src: url(https://cdn.jsdelivr.net/fontsource/fonts/instrument-sans:vf@latest/latin-wdth-normal.woff2) format('woff2-variations');
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unicode-range: U+0000-00FF,U+0131,U+0152-0153,U+02BB-02BC,U+02C6,U+02DA,U+02DC,U+0304,U+0308,U+0329,U+2000-206F,U+20AC,U+2122,U+2191,U+2193,U+2212,U+2215,U+FEFF,U+FFFD;
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}
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body {
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margin: 0;
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width: 100svw;
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height: 100svh;
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}
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body, input {
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font-family: 'Instrument Sans', sans-serif;
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}
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a {
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color: white;
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}
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#controls {
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position: absolute;
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top: 0;
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padding: 1em;
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box-sizing: border-box;
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width: 100svw;
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display: flex;
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flex-wrap: wrap;
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gap: 1em;
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}
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#controls > div {
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display: flex;
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align-items: center;
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gap: 0.25em;
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}
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footer {
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position: absolute;
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bottom: 1em;
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right: 1em;
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}
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#controls > #energy {
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display: grid;
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grid-template:
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"label meter"
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". output"
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;
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}
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output[for="energy-meter"] {
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font-family: monospace;
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grid-area: output;
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text-align: right;
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}
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#num-points {
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width: 5em;
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text-align: center;
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}
|
||||
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