import * as THREE from 'three'; import * as POLYTOPES from './polytopes.js'; import { FourDShape } from './fourDShape.js'; import { GUI } from 'lil-gui'; const DEFAULT_SHAPE = '120-cell'; const DEFAULT_COLOR = 0x90ebff; const DEFAULT_BG = 0xdddddd; // hacky stuff for 4d rotations // see https://math.stackexchange.com/questions/1402362/can-rotations-in-4d-be-given-an-explicit-matrix-form#1402376 function rotZW(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( ctheta, -stheta, 0, 0, stheta, ctheta, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ); } function rotYW(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( ctheta, 0, -stheta, 0, 0, 1, 0, 0, stheta, 0, ctheta, 0, 0, 0, 0, 1, ); } function rotYZ(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( ctheta, 0, 0, -stheta, 0, 1, 0, 0, 0, 0, 1, 0, stheta, 0, 0, ctheta, ); } function rotXW(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( 1, 0, 0, 0, 0, ctheta, -stheta, 0, 0, stheta, ctheta, 0, 0, 0, 0, 1 ); } function rotXZ(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( 1, 0, 0, 0, 0, ctheta, 0, -stheta, 0, 0, 1, 0, 0, stheta, 0, ctheta, ); } function rotXY(theta) { const ctheta = Math.cos(theta); const stheta = Math.sin(theta); return new THREE.Matrix4( 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, ctheta, -stheta, 0, 0, stheta, ctheta, ); } function fallbackCopyTextToClipboard(text) { var textArea = document.createElement("textarea"); textArea.value = text; // Avoid scrolling to bottom textArea.style.top = "0"; textArea.style.left = "0"; textArea.style.position = "fixed"; document.body.appendChild(textArea); textArea.focus(); textArea.select(); try { var successful = document.execCommand('copy'); var msg = successful ? 'successful' : 'unsuccessful'; console.log('Fallback: Copying text command was ' + msg); } catch (err) { console.error('Fallback: Oops, unable to copy', err); } document.body.removeChild(textArea); } function copyTextToClipboard(text) { if (!navigator.clipboard) { fallbackCopyTextToClipboard(text); return; } navigator.clipboard.writeText(text).then(function() { console.log('Async: Copying to clipboard was successful!'); }, function(err) { console.error('Async: Could not copy text: ', err); }); } const scene = new THREE.Scene(); const camera = new THREE.PerspectiveCamera( 75, window.innerWidth / window.innerHeight, 0.1, 1000 ); const light = new THREE.PointLight(0xffffff, 2); light.position.set(10, 10, 10); scene.add(light); const light2 = new THREE.PointLight(0xffffff, 2); light2.position.set(-10, 5, 10); scene.add(light); const amblight = new THREE.AmbientLight(0xffffff, 0.5); scene.add(amblight); scene.background = new THREE.Color(DEFAULT_BG); const renderer = new THREE.WebGLRenderer({antialias: true}); renderer.setSize( window.innerWidth, window.innerHeight ); document.body.appendChild( renderer.domElement ); const material = new THREE.MeshStandardMaterial( { color: DEFAULT_COLOR } ); const node_ms = [ material ]; const link_ms = [ material ]; const STRUCTURES = { '5-cell': POLYTOPES.cell5(), '16-cell': POLYTOPES.cell16(), 'tesseract': POLYTOPES.tesseract(), '24-cell': POLYTOPES.cell24(), '120-cell': POLYTOPES.cell120(), '600-cell': POLYTOPES.cell600() }; let shape = false; function createShape(name) { if( shape ) { scene.remove(shape); } shape = new FourDShape(node_ms, link_ms, STRUCTURES[name]); scene.add(shape); } function floatParam(params, param) { const value = params.get(param); if( value ) { const fl = parseFloat(value); if( fl !== NaN ) { return fl; } } return 0; } function stringtoHex(cstr) { return parseInt('0x' + cstr.substr(1)); } function hexToString(hex) { return '#' + hex.toString(16); } function colorParam(params, param, dft) { const value = params.get(param); if( value ) { const hex = stringtoHex(value); if( hex !== NaN ) { return hex; } } return dft; } camera.position.z = 4; const dragK = 0.005; const damping = 0.99; let theta = 0; let psi = 0; let theta0 = 0; let psi0 = 0; let dragx0 = 0; let dragy0 = 0; let dtheta = 0; let dpsi = 0; let dragging = false; renderer.domElement.addEventListener("pointerdown", (event) => { if( event.buttons === 1 ) { theta0 = theta; psi0 = psi; dragx0 = event.clientX; dragy0 = event.clientY; dragging = true; } }) renderer.domElement.addEventListener("pointermove", (event) => { if( event.buttons === 1 ) { const theta1 = theta0 + (event.clientX - dragx0) * dragK; const psi1 = psi0 + (event.clientY - dragy0) * dragK; dtheta = theta1 - theta; dpsi = psi1 - psi; theta = theta1; psi = psi1; } }) renderer.domElement.addEventListener("pointerup", (event) => { dragging = false; }) // set up GUI const gui = new GUI(); const linkUrl = new URL(window.location.toLocaleString()); const link_params = {}; const urlParams = linkUrl.searchParams; for( const param of [ "shape", "xRotate", "yRotate" ]) { const value = urlParams.get(param); if( value ) { link_params[param] = value; } } link_params['hyperplane'] = floatParam(urlParams, 'hyperplane'); link_params['thickness'] = floatParam(urlParams, 'thickness'); link_params['color'] = colorParam(urlParams, 'color', DEFAULT_COLOR); link_params['background'] = colorParam(urlParams, 'background', DEFAULT_BG); dpsi = floatParam(urlParams, 'dpsi'); dtheta = floatParam(urlParams, 'dtheta'); const gui_params = { shape: link_params['shape'] || DEFAULT_SHAPE, thickness: link_params['thickness'] || 1, color: link_params['color'] || DEFAULT_COLOR, background: link_params['background'] || DEFAULT_BG, hyperplane: link_params['hyperplane'] || 2, xRotate: link_params['xRotate'] || 'YW', yRotate: link_params['yRotate'] || 'XZ', damping: false, "copy link": function () { const url = new URL(linkUrl.origin + linkUrl.pathname); url.searchParams.append("shape", gui_params.shape); url.searchParams.append("thickness", gui_params.thickness.toString()); url.searchParams.append("color", hexToString(gui_params.color)); url.searchParams.append("background", hexToString(gui_params.background)); url.searchParams.append("hyperplane", gui_params.hyperplane.toString()); url.searchParams.append("xRotate", gui_params.xRotate); url.searchParams.append("yRotate", gui_params.yRotate); url.searchParams.append("dtheta", dtheta.toString()); url.searchParams.append("dpsi", dpsi.toString()); copyTextToClipboard(url); } }; gui.add(gui_params, 'shape', [ '5-cell', '16-cell', 'tesseract', '24-cell', '120-cell', '600-cell' ] ).onChange(createShape) gui.add(gui_params, 'hyperplane', 1.5, 4); gui.add(gui_params, 'thickness', 0.01, 4); gui.addColor(gui_params, 'color').onChange((c) => { console.log(`Setting material colour to ${c}`); material.color = new THREE.Color(c); }); gui.addColor(gui_params, 'background').onChange((c) => { console.log(`Setting background colour to ${c}`); scene.background = new THREE.Color(c); }); gui.add(gui_params, 'xRotate', [ 'YW', 'YZ', 'ZW' ]); gui.add(gui_params, 'yRotate', [ 'XZ', 'XY', 'XW' ]); gui.add(gui_params, 'damping'); gui.add(gui_params, 'copy link'); const ROTFN = { XY: rotXY, XZ: rotXZ, XW: rotXW, YZ: rotYZ, YW: rotYW, ZW: rotZW, }; createShape(gui_params["shape"]); const rotation = new THREE.Matrix4(); function animate() { requestAnimationFrame( animate ); if( ! dragging ) { theta += dtheta; psi += dpsi; if( gui_params.damping ) { dtheta = dtheta * damping; dpsi = dpsi * damping; } } const rotations = [ ROTFN[gui_params.xRotate](theta), ROTFN[gui_params.yRotate](psi) ]; shape.hyperplane = gui_params.hyperplane; shape.geom_scale = gui_params.thickness; shape.render3(rotations); renderer.render( scene, camera ); } animate();