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731 lines
23 KiB
731 lines
23 KiB
var BarnesHutSolver = require('./components/physics/BarnesHutSolver').default;
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var Repulsion = require('./components/physics/RepulsionSolver').default;
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var HierarchicalRepulsion = require('./components/physics/HierarchicalRepulsionSolver').default;
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var SpringSolver = require('./components/physics/SpringSolver').default;
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var HierarchicalSpringSolver = require('./components/physics/HierarchicalSpringSolver').default;
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var CentralGravitySolver = require('./components/physics/CentralGravitySolver').default;
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var ForceAtlas2BasedRepulsionSolver = require('./components/physics/FA2BasedRepulsionSolver').default;
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var ForceAtlas2BasedCentralGravitySolver = require('./components/physics/FA2BasedCentralGravitySolver').default;
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var util = require('../../util');
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class PhysicsEngine {
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constructor(body) {
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this.body = body;
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this.physicsBody = {physicsNodeIndices:[], physicsEdgeIndices:[], forces: {}, velocities: {}};
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this.physicsEnabled = true;
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this.simulationInterval = 1000 / 60;
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this.requiresTimeout = true;
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this.previousStates = {};
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this.referenceState = {};
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this.freezeCache = {};
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this.renderTimer = undefined;
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// parameters for the adaptive timestep
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this.adaptiveTimestep = false;
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this.adaptiveTimestepEnabled = false;
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this.adaptiveCounter = 0;
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this.adaptiveInterval = 3;
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this.stabilized = false;
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this.startedStabilization = false;
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this.stabilizationIterations = 0;
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this.ready = false; // will be set to true if the stabilize
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// default options
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this.options = {};
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this.defaultOptions = {
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enabled: true,
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barnesHut: {
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theta: 0.5,
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gravitationalConstant: -2000,
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centralGravity: 0.3,
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springLength: 95,
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springConstant: 0.04,
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damping: 0.09,
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avoidOverlap: 0
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},
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forceAtlas2Based: {
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theta: 0.5,
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gravitationalConstant: -50,
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centralGravity: 0.01,
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springConstant: 0.08,
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springLength: 100,
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damping: 0.4,
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avoidOverlap: 0
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},
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repulsion: {
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centralGravity: 0.2,
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springLength: 200,
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springConstant: 0.05,
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nodeDistance: 100,
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damping: 0.09,
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avoidOverlap: 0
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},
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hierarchicalRepulsion: {
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centralGravity: 0.0,
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springLength: 100,
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springConstant: 0.01,
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nodeDistance: 120,
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damping: 0.09
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},
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maxVelocity: 50,
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minVelocity: 0.75, // px/s
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solver: 'barnesHut',
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stabilization: {
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enabled: true,
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iterations: 1000, // maximum number of iteration to stabilize
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updateInterval: 50,
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onlyDynamicEdges: false,
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fit: true
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},
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timestep: 0.5,
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adaptiveTimestep: true
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};
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util.extend(this.options, this.defaultOptions);
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this.timestep = 0.5;
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this.layoutFailed = false;
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this.bindEventListeners();
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}
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bindEventListeners() {
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this.body.emitter.on('initPhysics', () => {this.initPhysics();});
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this.body.emitter.on('_layoutFailed', () => {this.layoutFailed = true;});
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this.body.emitter.on('resetPhysics', () => {this.stopSimulation(); this.ready = false;});
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this.body.emitter.on('disablePhysics', () => {this.physicsEnabled = false; this.stopSimulation();});
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this.body.emitter.on('restorePhysics', () => {
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this.setOptions(this.options);
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if (this.ready === true) {
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this.startSimulation();
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}
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});
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this.body.emitter.on('startSimulation', () => {
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if (this.ready === true) {
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this.startSimulation();
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}
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});
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this.body.emitter.on('stopSimulation', () => {this.stopSimulation();});
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this.body.emitter.on('destroy', () => {
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this.stopSimulation(false);
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this.body.emitter.off();
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});
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// this event will trigger a rebuilding of the cache everything. Used when nodes or edges have been added or removed.
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this.body.emitter.on("_dataChanged", () => {
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// update shortcut lists
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this.updatePhysicsData();
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});
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// debug: show forces
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// this.body.emitter.on("afterDrawing", (ctx) => {this._drawForces(ctx);});
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}
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/**
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* set the physics options
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* @param options
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*/
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setOptions(options) {
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if (options !== undefined) {
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if (options === false) {
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this.options.enabled = false;
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this.physicsEnabled = false;
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this.stopSimulation();
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}
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else {
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this.physicsEnabled = true;
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util.selectiveNotDeepExtend(['stabilization'], this.options, options);
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util.mergeOptions(this.options, options, 'stabilization');
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if (options.enabled === undefined) {
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this.options.enabled = true;
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}
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if (this.options.enabled === false) {
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this.physicsEnabled = false;
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this.stopSimulation();
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}
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// set the timestep
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this.timestep = this.options.timestep;
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}
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}
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this.init();
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}
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/**
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* configure the engine.
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*/
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init() {
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var options;
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if (this.options.solver === 'forceAtlas2Based') {
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options = this.options.forceAtlas2Based;
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this.nodesSolver = new ForceAtlas2BasedRepulsionSolver(this.body, this.physicsBody, options);
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this.edgesSolver = new SpringSolver(this.body, this.physicsBody, options);
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this.gravitySolver = new ForceAtlas2BasedCentralGravitySolver(this.body, this.physicsBody, options);
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}
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else if (this.options.solver === 'repulsion') {
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options = this.options.repulsion;
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this.nodesSolver = new Repulsion(this.body, this.physicsBody, options);
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this.edgesSolver = new SpringSolver(this.body, this.physicsBody, options);
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this.gravitySolver = new CentralGravitySolver(this.body, this.physicsBody, options);
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}
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else if (this.options.solver === 'hierarchicalRepulsion') {
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options = this.options.hierarchicalRepulsion;
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this.nodesSolver = new HierarchicalRepulsion(this.body, this.physicsBody, options);
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this.edgesSolver = new HierarchicalSpringSolver(this.body, this.physicsBody, options);
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this.gravitySolver = new CentralGravitySolver(this.body, this.physicsBody, options);
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}
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else { // barnesHut
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options = this.options.barnesHut;
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this.nodesSolver = new BarnesHutSolver(this.body, this.physicsBody, options);
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this.edgesSolver = new SpringSolver(this.body, this.physicsBody, options);
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this.gravitySolver = new CentralGravitySolver(this.body, this.physicsBody, options);
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}
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this.modelOptions = options;
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}
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/**
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* initialize the engine
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*/
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initPhysics() {
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if (this.physicsEnabled === true && this.options.enabled === true) {
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if (this.options.stabilization.enabled === true) {
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this.stabilize();
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}
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else {
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this.stabilized = false;
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this.ready = true;
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this.body.emitter.emit('fit', {}, this.layoutFailed); // if the layout failed, we use the approximation for the zoom
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this.startSimulation();
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}
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}
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else {
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this.ready = true;
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this.body.emitter.emit('fit');
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}
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}
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/**
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* Start the simulation
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*/
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startSimulation() {
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if (this.physicsEnabled === true && this.options.enabled === true) {
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this.stabilized = false;
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// when visible, adaptivity is disabled.
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this.adaptiveTimestep = false;
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// this sets the width of all nodes initially which could be required for the avoidOverlap
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this.body.emitter.emit("_resizeNodes");
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if (this.viewFunction === undefined) {
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this.viewFunction = this.simulationStep.bind(this);
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this.body.emitter.on('initRedraw', this.viewFunction);
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this.body.emitter.emit('_startRendering');
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}
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}
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else {
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this.body.emitter.emit('_redraw');
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}
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}
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/**
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* Stop the simulation, force stabilization.
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*/
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stopSimulation(emit = true) {
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this.stabilized = true;
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if (emit === true) {
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this._emitStabilized();
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}
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if (this.viewFunction !== undefined) {
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this.body.emitter.off('initRedraw', this.viewFunction);
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this.viewFunction = undefined;
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if (emit === true) {
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this.body.emitter.emit('_stopRendering');
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}
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}
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}
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/**
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* The viewFunction inserts this step into each render loop. It calls the physics tick and handles the cleanup at stabilized.
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*
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*/
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simulationStep() {
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// check if the physics have settled
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var startTime = Date.now();
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this.physicsTick();
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var physicsTime = Date.now() - startTime;
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// run double speed if it is a little graph
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if ((physicsTime < 0.4 * this.simulationInterval || this.runDoubleSpeed === true) && this.stabilized === false) {
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this.physicsTick();
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// this makes sure there is no jitter. The decision is taken once to run it at double speed.
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this.runDoubleSpeed = true;
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}
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if (this.stabilized === true) {
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this.stopSimulation();
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}
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}
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/**
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* trigger the stabilized event.
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* @private
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*/
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_emitStabilized(amountOfIterations = this.stabilizationIterations) {
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if (this.stabilizationIterations > 1 || this.startedStabilization === true) {
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setTimeout(() => {
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this.body.emitter.emit('stabilized', {iterations: amountOfIterations});
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this.startedStabilization = false;
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this.stabilizationIterations = 0;
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}, 0);
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}
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}
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/**
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* A single simulation step (or 'tick') in the physics simulation
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*
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* @private
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*/
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physicsTick() {
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// this is here to ensure that there is no start event when the network is already stable.
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if (this.startedStabilization === false) {
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this.body.emitter.emit('startStabilizing');
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this.startedStabilization = true;
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}
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if (this.stabilized === false) {
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// adaptivity means the timestep adapts to the situation, only applicable for stabilization
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if (this.adaptiveTimestep === true && this.adaptiveTimestepEnabled === true) {
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// this is the factor for increasing the timestep on success.
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let factor = 1.2;
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// we assume the adaptive interval is
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if (this.adaptiveCounter % this.adaptiveInterval === 0) { // we leave the timestep stable for "interval" iterations.
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// first the big step and revert. Revert saves the reference state.
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this.timestep = 2 * this.timestep;
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this.calculateForces();
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this.moveNodes();
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this.revert();
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// now the normal step. Since this is the last step, it is the more stable one and we will take this.
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this.timestep = 0.5 * this.timestep;
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// since it's half the step, we do it twice.
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this.calculateForces();
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this.moveNodes();
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this.calculateForces();
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this.moveNodes();
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// we compare the two steps. if it is acceptable we double the step.
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if (this._evaluateStepQuality() === true) {
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this.timestep = factor * this.timestep;
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}
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else {
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// if not, we decrease the step to a minimum of the options timestep.
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// if the decreased timestep is smaller than the options step, we do not reset the counter
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// we assume that the options timestep is stable enough.
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if (this.timestep/factor < this.options.timestep) {
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this.timestep = this.options.timestep;
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}
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else {
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// if the timestep was larger than 2 times the option one we check the adaptivity again to ensure
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// that large instabilities do not form.
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this.adaptiveCounter = -1; // check again next iteration
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this.timestep = Math.max(this.options.timestep, this.timestep/factor);
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}
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}
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}
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else {
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// normal step, keeping timestep constant
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this.calculateForces();
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this.moveNodes();
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}
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// increment the counter
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this.adaptiveCounter += 1;
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}
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else {
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// case for the static timestep, we reset it to the one in options and take a normal step.
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this.timestep = this.options.timestep;
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this.calculateForces();
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this.moveNodes();
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}
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// determine if the network has stabilzied
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if (this.stabilized === true) {
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this.revert();
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}
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this.stabilizationIterations++;
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}
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}
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/**
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* Nodes and edges can have the physics toggles on or off. A collection of indices is created here so we can skip the check all the time.
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*
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* @private
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*/
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updatePhysicsData() {
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this.physicsBody.forces = {};
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this.physicsBody.physicsNodeIndices = [];
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this.physicsBody.physicsEdgeIndices = [];
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let nodes = this.body.nodes;
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let edges = this.body.edges;
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// get node indices for physics
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for (let nodeId in nodes) {
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if (nodes.hasOwnProperty(nodeId)) {
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if (nodes[nodeId].options.physics === true) {
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this.physicsBody.physicsNodeIndices.push(nodes[nodeId].id);
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}
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}
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}
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// get edge indices for physics
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for (let edgeId in edges) {
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if (edges.hasOwnProperty(edgeId)) {
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if (edges[edgeId].options.physics === true) {
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this.physicsBody.physicsEdgeIndices.push(edges[edgeId].id);
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}
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}
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}
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// get the velocity and the forces vector
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for (let i = 0; i < this.physicsBody.physicsNodeIndices.length; i++) {
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let nodeId = this.physicsBody.physicsNodeIndices[i];
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this.physicsBody.forces[nodeId] = {x:0,y:0};
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// forces can be reset because they are recalculated. Velocities have to persist.
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if (this.physicsBody.velocities[nodeId] === undefined) {
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this.physicsBody.velocities[nodeId] = {x:0,y:0};
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}
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}
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// clean deleted nodes from the velocity vector
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for (let nodeId in this.physicsBody.velocities) {
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if (nodes[nodeId] === undefined) {
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delete this.physicsBody.velocities[nodeId];
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}
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}
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}
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/**
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* Revert the simulation one step. This is done so after stabilization, every new start of the simulation will also say stabilized.
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*/
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revert() {
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var nodeIds = Object.keys(this.previousStates);
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var nodes = this.body.nodes;
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var velocities = this.physicsBody.velocities;
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this.referenceState = {};
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for (let i = 0; i < nodeIds.length; i++) {
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let nodeId = nodeIds[i];
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if (nodes[nodeId] !== undefined) {
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if (nodes[nodeId].options.physics === true) {
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this.referenceState[nodeId] = {
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positions: {x:nodes[nodeId].x, y:nodes[nodeId].y}
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};
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velocities[nodeId].x = this.previousStates[nodeId].vx;
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velocities[nodeId].y = this.previousStates[nodeId].vy;
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nodes[nodeId].x = this.previousStates[nodeId].x;
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nodes[nodeId].y = this.previousStates[nodeId].y;
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}
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}
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else {
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delete this.previousStates[nodeId];
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}
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}
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}
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/**
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* This compares the reference state to the current state
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*/
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_evaluateStepQuality() {
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let dx, dy, dpos;
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let nodes = this.body.nodes;
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let reference = this.referenceState;
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let posThreshold = 0.3;
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for (let nodeId in this.referenceState) {
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if (this.referenceState.hasOwnProperty(nodeId) && nodes[nodeId] !== undefined) {
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dx = nodes[nodeId].x - reference[nodeId].positions.x;
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dy = nodes[nodeId].y - reference[nodeId].positions.y;
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dpos = Math.sqrt(Math.pow(dx,2) + Math.pow(dy,2))
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if (dpos > posThreshold) {
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return false;
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}
|
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}
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}
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return true;
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}
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/**
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* move the nodes one timestep and check if they are stabilized
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* @returns {boolean}
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*/
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moveNodes() {
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var nodeIndices = this.physicsBody.physicsNodeIndices;
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var maxVelocity = this.options.maxVelocity ? this.options.maxVelocity : 1e9;
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var maxNodeVelocity = 0;
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var averageNodeVelocity = 0;
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// the velocity threshold (energy in the system) for the adaptivity toggle
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var velocityAdaptiveThreshold = 5;
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for (let i = 0; i < nodeIndices.length; i++) {
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let nodeId = nodeIndices[i];
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let nodeVelocity = this._performStep(nodeId, maxVelocity);
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// stabilized is true if stabilized is true and velocity is smaller than vmin --> all nodes must be stabilized
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maxNodeVelocity = Math.max(maxNodeVelocity,nodeVelocity);
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averageNodeVelocity += nodeVelocity;
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}
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// evaluating the stabilized and adaptiveTimestepEnabled conditions
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this.adaptiveTimestepEnabled = (averageNodeVelocity/nodeIndices.length) < velocityAdaptiveThreshold;
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this.stabilized = maxNodeVelocity < this.options.minVelocity;
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}
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/**
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* Perform the actual step
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*
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* @param nodeId
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* @param maxVelocity
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* @returns {number}
|
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* @private
|
|
*/
|
|
_performStep(nodeId,maxVelocity) {
|
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let node = this.body.nodes[nodeId];
|
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let timestep = this.timestep;
|
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let forces = this.physicsBody.forces;
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let velocities = this.physicsBody.velocities;
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// store the state so we can revert
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this.previousStates[nodeId] = {x:node.x, y:node.y, vx:velocities[nodeId].x, vy:velocities[nodeId].y};
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if (node.options.fixed.x === false) {
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let dx = this.modelOptions.damping * velocities[nodeId].x; // damping force
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let ax = (forces[nodeId].x - dx) / node.options.mass; // acceleration
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velocities[nodeId].x += ax * timestep; // velocity
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velocities[nodeId].x = (Math.abs(velocities[nodeId].x) > maxVelocity) ? ((velocities[nodeId].x > 0) ? maxVelocity : -maxVelocity) : velocities[nodeId].x;
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node.x += velocities[nodeId].x * timestep; // position
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}
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else {
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forces[nodeId].x = 0;
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velocities[nodeId].x = 0;
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}
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if (node.options.fixed.y === false) {
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let dy = this.modelOptions.damping * velocities[nodeId].y; // damping force
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let ay = (forces[nodeId].y - dy) / node.options.mass; // acceleration
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velocities[nodeId].y += ay * timestep; // velocity
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velocities[nodeId].y = (Math.abs(velocities[nodeId].y) > maxVelocity) ? ((velocities[nodeId].y > 0) ? maxVelocity : -maxVelocity) : velocities[nodeId].y;
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node.y += velocities[nodeId].y * timestep; // position
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}
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else {
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forces[nodeId].y = 0;
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velocities[nodeId].y = 0;
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}
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let totalVelocity = Math.sqrt(Math.pow(velocities[nodeId].x,2) + Math.pow(velocities[nodeId].y,2));
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return totalVelocity;
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}
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/**
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* calculate the forces for one physics iteration.
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*/
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calculateForces() {
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this.gravitySolver.solve();
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this.nodesSolver.solve();
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this.edgesSolver.solve();
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}
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|
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/**
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* When initializing and stabilizing, we can freeze nodes with a predefined position. This greatly speeds up stabilization
|
|
* because only the supportnodes for the smoothCurves have to settle.
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|
*
|
|
* @private
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|
*/
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|
_freezeNodes() {
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var nodes = this.body.nodes;
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|
for (var id in nodes) {
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if (nodes.hasOwnProperty(id)) {
|
|
if (nodes[id].x && nodes[id].y) {
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this.freezeCache[id] = {x:nodes[id].options.fixed.x,y:nodes[id].options.fixed.y};
|
|
nodes[id].options.fixed.x = true;
|
|
nodes[id].options.fixed.y = true;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
/**
|
|
* Unfreezes the nodes that have been frozen by _freezeDefinedNodes.
|
|
*
|
|
* @private
|
|
*/
|
|
_restoreFrozenNodes() {
|
|
var nodes = this.body.nodes;
|
|
for (var id in nodes) {
|
|
if (nodes.hasOwnProperty(id)) {
|
|
if (this.freezeCache[id] !== undefined) {
|
|
nodes[id].options.fixed.x = this.freezeCache[id].x;
|
|
nodes[id].options.fixed.y = this.freezeCache[id].y;
|
|
}
|
|
}
|
|
}
|
|
this.freezeCache = {};
|
|
}
|
|
|
|
/**
|
|
* Find a stable position for all nodes
|
|
*/
|
|
stabilize(iterations = this.options.stabilization.iterations) {
|
|
if (typeof iterations !== 'number') {
|
|
console.log('The stabilize method needs a numeric amount of iterations. Switching to default: ', this.options.stabilization.iterations);
|
|
iterations = this.options.stabilization.iterations;
|
|
}
|
|
|
|
if (this.physicsBody.physicsNodeIndices.length === 0) {
|
|
this.ready = true;
|
|
return;
|
|
}
|
|
|
|
// enable adaptive timesteps
|
|
this.adaptiveTimestep = true && this.options.adaptiveTimestep;
|
|
|
|
// this sets the width of all nodes initially which could be required for the avoidOverlap
|
|
this.body.emitter.emit("_resizeNodes");
|
|
|
|
// stop the render loop
|
|
this.stopSimulation();
|
|
|
|
// set stabilze to false
|
|
this.stabilized = false;
|
|
|
|
// block redraw requests
|
|
this.body.emitter.emit('_blockRedraw');
|
|
this.targetIterations = iterations;
|
|
|
|
// start the stabilization
|
|
if (this.options.stabilization.onlyDynamicEdges === true) {
|
|
this._freezeNodes();
|
|
}
|
|
this.stabilizationIterations = 0;
|
|
|
|
setTimeout(() => this._stabilizationBatch(),0);
|
|
}
|
|
|
|
|
|
/**
|
|
* One batch of stabilization
|
|
* @private
|
|
*/
|
|
_stabilizationBatch() {
|
|
var self = this;
|
|
var running = () => (self.stabilized === false && self.stabilizationIterations < self.targetIterations);
|
|
var sendProgress = () => {
|
|
self.body.emitter.emit('stabilizationProgress', {
|
|
iterations: self.stabilizationIterations,
|
|
total: self.targetIterations
|
|
});
|
|
};
|
|
|
|
// this is here to ensure that there is at least one start event.
|
|
if (this.startedStabilization === false) {
|
|
this.body.emitter.emit('startStabilizing');
|
|
this.startedStabilization = true;
|
|
sendProgress();
|
|
}
|
|
|
|
var count = 0;
|
|
while (running() && count < this.options.stabilization.updateInterval) {
|
|
this.physicsTick();
|
|
count++;
|
|
}
|
|
|
|
sendProgress();
|
|
|
|
if (running()) {
|
|
setTimeout(this._stabilizationBatch.bind(this),0);
|
|
}
|
|
else {
|
|
this._finalizeStabilization();
|
|
}
|
|
}
|
|
|
|
|
|
/**
|
|
* Wrap up the stabilization, fit and emit the events.
|
|
* @private
|
|
*/
|
|
_finalizeStabilization() {
|
|
this.body.emitter.emit('_allowRedraw');
|
|
if (this.options.stabilization.fit === true) {
|
|
this.body.emitter.emit('fit');
|
|
}
|
|
|
|
if (this.options.stabilization.onlyDynamicEdges === true) {
|
|
this._restoreFrozenNodes();
|
|
}
|
|
|
|
this.body.emitter.emit('stabilizationIterationsDone');
|
|
this.body.emitter.emit('_requestRedraw');
|
|
|
|
if (this.stabilized === true) {
|
|
this._emitStabilized();
|
|
}
|
|
else {
|
|
this.startSimulation();
|
|
}
|
|
|
|
this.ready = true;
|
|
}
|
|
|
|
|
|
_drawForces(ctx) {
|
|
for (var i = 0; i < this.physicsBody.physicsNodeIndices.length; i++) {
|
|
let node = this.body.nodes[this.physicsBody.physicsNodeIndices[i]];
|
|
let force = this.physicsBody.forces[this.physicsBody.physicsNodeIndices[i]];
|
|
let factor = 20;
|
|
let colorFactor = 0.03;
|
|
let forceSize = Math.sqrt(Math.pow(force.x,2) + Math.pow(force.x,2));
|
|
|
|
let size = Math.min(Math.max(5,forceSize),15);
|
|
let arrowSize = 3*size;
|
|
|
|
let color = util.HSVToHex((180 - Math.min(1,Math.max(0,colorFactor*forceSize))*180) / 360,1,1);
|
|
|
|
ctx.lineWidth = size;
|
|
ctx.strokeStyle = color;
|
|
ctx.beginPath();
|
|
ctx.moveTo(node.x,node.y);
|
|
ctx.lineTo(node.x+factor*force.x, node.y+factor*force.y);
|
|
ctx.stroke();
|
|
|
|
let angle = Math.atan2(force.y, force.x);
|
|
ctx.fillStyle = color;
|
|
ctx.arrowEndpoint(node.x + factor*force.x + Math.cos(angle)*arrowSize, node.y + factor*force.y+Math.sin(angle)*arrowSize, angle, arrowSize);
|
|
ctx.fill();
|
|
}
|
|
}
|
|
|
|
}
|
|
|
|
export default PhysicsEngine;
|