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1129 lines
34 KiB
1129 lines
34 KiB
;(function(undefined) {
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'use strict';
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/**
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* Sigma ForceAtlas2.5 Webworker
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* ==============================
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*
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* Author: Guillaume Plique (Yomguithereal)
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* Algorithm author: Mathieu Jacomy @ Sciences Po Medialab & WebAtlas
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* Version: 1.0.3
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*/
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var _root = this,
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inWebWorker = !('document' in _root);
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/**
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* Worker Function Wrapper
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* ------------------------
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*
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* The worker has to be wrapped into a single stringified function
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* to be passed afterwards as a BLOB object to the supervisor.
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*/
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var Worker = function(undefined) {
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'use strict';
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/**
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* Worker settings and properties
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*/
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var W = {
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// Properties
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ppn: 10,
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ppe: 3,
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ppr: 9,
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maxForce: 10,
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iterations: 0,
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converged: false,
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// Possible to change through config
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settings: {
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linLogMode: false,
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outboundAttractionDistribution: false,
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adjustSizes: false,
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edgeWeightInfluence: 0,
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scalingRatio: 1,
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strongGravityMode: false,
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gravity: 1,
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slowDown: 1,
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barnesHutOptimize: false,
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barnesHutTheta: 0.5,
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startingIterations: 1,
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iterationsPerRender: 1
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}
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};
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var NodeMatrix,
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EdgeMatrix,
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RegionMatrix;
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/**
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* Helpers
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*/
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function extend() {
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var i,
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k,
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res = {},
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l = arguments.length;
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for (i = l - 1; i >= 0; i--)
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for (k in arguments[i])
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res[k] = arguments[i][k];
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return res;
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}
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function __emptyObject(obj) {
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var k;
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for (k in obj)
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if (!('hasOwnProperty' in obj) || obj.hasOwnProperty(k))
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delete obj[k];
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return obj;
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}
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/**
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* Matrices properties accessors
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*/
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var nodeProperties = {
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x: 0,
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y: 1,
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dx: 2,
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dy: 3,
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old_dx: 4,
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old_dy: 5,
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mass: 6,
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convergence: 7,
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size: 8,
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fixed: 9
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};
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var edgeProperties = {
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source: 0,
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target: 1,
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weight: 2
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};
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var regionProperties = {
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node: 0,
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centerX: 1,
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centerY: 2,
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size: 3,
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nextSibling: 4,
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firstChild: 5,
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mass: 6,
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massCenterX: 7,
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massCenterY: 8
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};
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function np(i, p) {
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// DEBUG: safeguards
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if ((i % W.ppn) !== 0)
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throw 'np: non correct (' + i + ').';
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if (i !== parseInt(i))
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throw 'np: non int.';
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if (p in nodeProperties)
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return i + nodeProperties[p];
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else
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throw 'ForceAtlas2.Worker - ' +
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'Inexistant node property given (' + p + ').';
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}
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function ep(i, p) {
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// DEBUG: safeguards
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if ((i % W.ppe) !== 0)
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throw 'ep: non correct (' + i + ').';
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if (i !== parseInt(i))
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throw 'ep: non int.';
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if (p in edgeProperties)
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return i + edgeProperties[p];
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else
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throw 'ForceAtlas2.Worker - ' +
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'Inexistant edge property given (' + p + ').';
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}
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function rp(i, p) {
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// DEBUG: safeguards
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if ((i % W.ppr) !== 0)
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throw 'rp: non correct (' + i + ').';
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if (i !== parseInt(i))
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throw 'rp: non int.';
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if (p in regionProperties)
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return i + regionProperties[p];
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else
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throw 'ForceAtlas2.Worker - ' +
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'Inexistant region property given (' + p + ').';
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}
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// DEBUG
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function nan(v) {
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if (isNaN(v))
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throw 'NaN alert!';
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}
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/**
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* Algorithm initialization
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*/
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function init(nodes, edges, config) {
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config = config || {};
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var i, l;
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// Matrices
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NodeMatrix = nodes;
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EdgeMatrix = edges;
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// Length
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W.nodesLength = NodeMatrix.length;
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W.edgesLength = EdgeMatrix.length;
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// Merging configuration
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configure(config);
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}
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function configure(o) {
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W.settings = extend(o, W.settings);
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}
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/**
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* Algorithm pass
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*/
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// MATH: get distances stuff and power 2 issues
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function pass() {
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var a, i, j, l, r, n, n1, n2, e, w, g, k, m;
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var outboundAttCompensation,
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coefficient,
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xDist,
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yDist,
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ewc,
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mass,
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distance,
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size,
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factor;
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// 1) Initializing layout data
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//-----------------------------
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// Resetting positions & computing max values
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for (n = 0; n < W.nodesLength; n += W.ppn) {
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NodeMatrix[np(n, 'old_dx')] = NodeMatrix[np(n, 'dx')];
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NodeMatrix[np(n, 'old_dy')] = NodeMatrix[np(n, 'dy')];
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NodeMatrix[np(n, 'dx')] = 0;
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NodeMatrix[np(n, 'dy')] = 0;
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}
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// If outbound attraction distribution, compensate
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if (W.settings.outboundAttractionDistribution) {
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outboundAttCompensation = 0;
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for (n = 0; n < W.nodesLength; n += W.ppn) {
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outboundAttCompensation += NodeMatrix[np(n, 'mass')];
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}
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outboundAttCompensation /= W.nodesLength;
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}
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// 1.bis) Barnes-Hut computation
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//------------------------------
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if (W.settings.barnesHutOptimize) {
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var minX = Infinity,
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maxX = -Infinity,
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minY = Infinity,
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maxY = -Infinity,
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q, q0, q1, q2, q3;
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// Setting up
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// RegionMatrix = new Float32Array(W.nodesLength / W.ppn * 4 * W.ppr);
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RegionMatrix = [];
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// Computing min and max values
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for (n = 0; n < W.nodesLength; n += W.ppn) {
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minX = Math.min(minX, NodeMatrix[np(n, 'x')]);
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maxX = Math.max(maxX, NodeMatrix[np(n, 'x')]);
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minY = Math.min(minY, NodeMatrix[np(n, 'y')]);
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maxY = Math.max(maxY, NodeMatrix[np(n, 'y')]);
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}
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// Build the Barnes Hut root region
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RegionMatrix[rp(0, 'node')] = -1;
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RegionMatrix[rp(0, 'centerX')] = (minX + maxX) / 2;
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RegionMatrix[rp(0, 'centerY')] = (minY + maxY) / 2;
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RegionMatrix[rp(0, 'size')] = Math.max(maxX - minX, maxY - minY);
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RegionMatrix[rp(0, 'nextSibling')] = -1;
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RegionMatrix[rp(0, 'firstChild')] = -1;
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RegionMatrix[rp(0, 'mass')] = 0;
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RegionMatrix[rp(0, 'massCenterX')] = 0;
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RegionMatrix[rp(0, 'massCenterY')] = 0;
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// Add each node in the tree
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l = 1;
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for (n = 0; n < W.nodesLength; n += W.ppn) {
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// Current region, starting with root
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r = 0;
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while (true) {
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// Are there sub-regions?
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// We look at first child index
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if (RegionMatrix[rp(r, 'firstChild')] >= 0) {
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// There are sub-regions
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// We just iterate to find a "leave" of the tree
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// that is an empty region or a region with a single node
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// (see next case)
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// Find the quadrant of n
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if (NodeMatrix[np(n, 'x')] < RegionMatrix[rp(r, 'centerX')]) {
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if (NodeMatrix[np(n, 'y')] < RegionMatrix[rp(r, 'centerY')]) {
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// Top Left quarter
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q = RegionMatrix[rp(r, 'firstChild')];
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}
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else {
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// Bottom Left quarter
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q = RegionMatrix[rp(r, 'firstChild')] + W.ppr;
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}
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}
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else {
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if (NodeMatrix[np(n, 'y')] < RegionMatrix[rp(r, 'centerY')]) {
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// Top Right quarter
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q = RegionMatrix[rp(r, 'firstChild')] + W.ppr * 2;
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}
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else {
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// Bottom Right quarter
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q = RegionMatrix[rp(r, 'firstChild')] + W.ppr * 3;
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}
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}
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// Update center of mass and mass (we only do it for non-leave regions)
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RegionMatrix[rp(r, 'massCenterX')] =
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(RegionMatrix[rp(r, 'massCenterX')] * RegionMatrix[rp(r, 'mass')] +
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NodeMatrix[np(n, 'x')] * NodeMatrix[np(n, 'mass')]) /
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(RegionMatrix[rp(r, 'mass')] + NodeMatrix[np(n, 'mass')]);
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RegionMatrix[rp(r, 'massCenterY')] =
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(RegionMatrix[rp(r, 'massCenterY')] * RegionMatrix[rp(r, 'mass')] +
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NodeMatrix[np(n, 'y')] * NodeMatrix[np(n, 'mass')]) /
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(RegionMatrix[rp(r, 'mass')] + NodeMatrix[np(n, 'mass')]);
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RegionMatrix[rp(r, 'mass')] += NodeMatrix[np(n, 'mass')];
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// Iterate on the right quadrant
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r = q;
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continue;
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}
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else {
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// There are no sub-regions: we are in a "leave"
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// Is there a node in this leave?
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if (RegionMatrix[rp(r, 'node')] < 0) {
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// There is no node in region:
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// we record node n and go on
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RegionMatrix[rp(r, 'node')] = n;
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break;
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}
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else {
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// There is a node in this region
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// We will need to create sub-regions, stick the two
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// nodes (the old one r[0] and the new one n) in two
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// subregions. If they fall in the same quadrant,
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// we will iterate.
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// Create sub-regions
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RegionMatrix[rp(r, 'firstChild')] = l * W.ppr;
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w = RegionMatrix[rp(r, 'size')] / 2; // new size (half)
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// NOTE: we use screen coordinates
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// from Top Left to Bottom Right
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// Top Left sub-region
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g = RegionMatrix[rp(r, 'firstChild')];
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RegionMatrix[rp(g, 'node')] = -1;
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RegionMatrix[rp(g, 'centerX')] = RegionMatrix[rp(r, 'centerX')] - w;
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RegionMatrix[rp(g, 'centerY')] = RegionMatrix[rp(r, 'centerY')] - w;
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RegionMatrix[rp(g, 'size')] = w;
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RegionMatrix[rp(g, 'nextSibling')] = g + W.ppr;
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RegionMatrix[rp(g, 'firstChild')] = -1;
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RegionMatrix[rp(g, 'mass')] = 0;
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RegionMatrix[rp(g, 'massCenterX')] = 0;
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RegionMatrix[rp(g, 'massCenterY')] = 0;
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// Bottom Left sub-region
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g += W.ppr;
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RegionMatrix[rp(g, 'node')] = -1;
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RegionMatrix[rp(g, 'centerX')] = RegionMatrix[rp(r, 'centerX')] - w;
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RegionMatrix[rp(g, 'centerY')] = RegionMatrix[rp(r, 'centerY')] + w;
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RegionMatrix[rp(g, 'size')] = w;
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RegionMatrix[rp(g, 'nextSibling')] = g + W.ppr;
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RegionMatrix[rp(g, 'firstChild')] = -1;
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RegionMatrix[rp(g, 'mass')] = 0;
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RegionMatrix[rp(g, 'massCenterX')] = 0;
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RegionMatrix[rp(g, 'massCenterY')] = 0;
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// Top Right sub-region
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g += W.ppr;
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RegionMatrix[rp(g, 'node')] = -1;
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RegionMatrix[rp(g, 'centerX')] = RegionMatrix[rp(r, 'centerX')] + w;
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RegionMatrix[rp(g, 'centerY')] = RegionMatrix[rp(r, 'centerY')] - w;
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RegionMatrix[rp(g, 'size')] = w;
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RegionMatrix[rp(g, 'nextSibling')] = g + W.ppr;
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RegionMatrix[rp(g, 'firstChild')] = -1;
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RegionMatrix[rp(g, 'mass')] = 0;
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RegionMatrix[rp(g, 'massCenterX')] = 0;
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RegionMatrix[rp(g, 'massCenterY')] = 0;
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// Bottom Right sub-region
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g += W.ppr;
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RegionMatrix[rp(g, 'node')] = -1;
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RegionMatrix[rp(g, 'centerX')] = RegionMatrix[rp(r, 'centerX')] + w;
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RegionMatrix[rp(g, 'centerY')] = RegionMatrix[rp(r, 'centerY')] + w;
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RegionMatrix[rp(g, 'size')] = w;
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RegionMatrix[rp(g, 'nextSibling')] = RegionMatrix[rp(r, 'nextSibling')];
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RegionMatrix[rp(g, 'firstChild')] = -1;
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RegionMatrix[rp(g, 'mass')] = 0;
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RegionMatrix[rp(g, 'massCenterX')] = 0;
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RegionMatrix[rp(g, 'massCenterY')] = 0;
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l += 4;
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// Now the goal is to find two different sub-regions
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// for the two nodes: the one previously recorded (r[0])
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// and the one we want to add (n)
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// Find the quadrant of the old node
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if (NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'x')] < RegionMatrix[rp(r, 'centerX')]) {
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if (NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'y')] < RegionMatrix[rp(r, 'centerY')]) {
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// Top Left quarter
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q = RegionMatrix[rp(r, 'firstChild')];
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}
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else {
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// Bottom Left quarter
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q = RegionMatrix[rp(r, 'firstChild')] + W.ppr;
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}
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}
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else {
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if (NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'y')] < RegionMatrix[rp(r, 'centerY')]) {
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// Top Right quarter
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q = RegionMatrix[rp(r, 'firstChild')] + W.ppr * 2;
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}
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else {
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// Bottom Right quarter
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q = RegionMatrix[rp(r, 'firstChild')] + W.ppr * 3;
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}
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}
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// We remove r[0] from the region r, add its mass to r and record it in q
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RegionMatrix[rp(r, 'mass')] = NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'mass')];
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RegionMatrix[rp(r, 'massCenterX')] = NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'x')];
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RegionMatrix[rp(r, 'massCenterY')] = NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'y')];
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RegionMatrix[rp(q, 'node')] = RegionMatrix[rp(r, 'node')];
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RegionMatrix[rp(r, 'node')] = -1;
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// Find the quadrant of n
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if (NodeMatrix[np(n, 'x')] < RegionMatrix[rp(r, 'centerX')]) {
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if (NodeMatrix[np(n, 'y')] < RegionMatrix[rp(r, 'centerY')]) {
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// Top Left quarter
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q2 = RegionMatrix[rp(r, 'firstChild')];
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}
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else {
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// Bottom Left quarter
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q2 = RegionMatrix[rp(r, 'firstChild')] + W.ppr;
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}
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}
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else {
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if(NodeMatrix[np(n, 'y')] < RegionMatrix[rp(r, 'centerY')]) {
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// Top Right quarter
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q2 = RegionMatrix[rp(r, 'firstChild')] + W.ppr * 2;
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}
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else {
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// Bottom Right quarter
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q2 = RegionMatrix[rp(r, 'firstChild')] + W.ppr * 3;
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}
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}
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if (q === q2) {
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// If both nodes are in the same quadrant,
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// we have to try it again on this quadrant
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r = q;
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continue;
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}
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// If both quadrants are different, we record n
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// in its quadrant
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RegionMatrix[rp(q2, 'node')] = n;
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break;
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}
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}
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}
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}
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}
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|
|
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// 2) Repulsion
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//--------------
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// NOTES: adjustSizes = antiCollision & scalingRatio = coefficient
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if (W.settings.barnesHutOptimize) {
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coefficient = W.settings.scalingRatio;
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// Applying repulsion through regions
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for (n = 0; n < W.nodesLength; n += W.ppn) {
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// Computing leaf quad nodes iteration
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r = 0; // Starting with root region
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while (true) {
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if (RegionMatrix[rp(r, 'firstChild')] >= 0) {
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// The region has sub-regions
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// We run the Barnes Hut test to see if we are at the right distance
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distance = Math.sqrt(
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(Math.pow(NodeMatrix[np(n, 'x')] - RegionMatrix[rp(r, 'massCenterX')], 2)) +
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(Math.pow(NodeMatrix[np(n, 'y')] - RegionMatrix[rp(r, 'massCenterY')], 2))
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);
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if (2 * RegionMatrix[rp(r, 'size')] / distance < W.settings.barnesHutTheta) {
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// We treat the region as a single body, and we repulse
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xDist = NodeMatrix[np(n, 'x')] - RegionMatrix[rp(r, 'massCenterX')];
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yDist = NodeMatrix[np(n, 'y')] - RegionMatrix[rp(r, 'massCenterY')];
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if (W.settings.adjustSizes) {
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//-- Linear Anti-collision Repulsion
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|
if (distance > 0) {
|
|
factor = coefficient * NodeMatrix[np(n, 'mass')] *
|
|
RegionMatrix[rp(r, 'mass')] / distance / distance;
|
|
|
|
NodeMatrix[np(n, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n, 'dy')] += yDist * factor;
|
|
}
|
|
else if (distance < 0) {
|
|
factor = -coefficient * NodeMatrix[np(n, 'mass')] *
|
|
RegionMatrix[rp(r, 'mass')] / distance;
|
|
|
|
NodeMatrix[np(n, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n, 'dy')] += yDist * factor;
|
|
}
|
|
}
|
|
else {
|
|
|
|
//-- Linear Repulsion
|
|
if (distance > 0) {
|
|
factor = coefficient * NodeMatrix[np(n, 'mass')] *
|
|
RegionMatrix[rp(r, 'mass')] / distance / distance;
|
|
|
|
NodeMatrix[np(n, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n, 'dy')] += yDist * factor;
|
|
}
|
|
}
|
|
|
|
// When this is done, we iterate. We have to look at the next sibling.
|
|
if (RegionMatrix[rp(r, 'nextSibling')] < 0)
|
|
break; // No next sibling: we have finished the tree
|
|
r = RegionMatrix[rp(r, 'nextSibling')];
|
|
continue;
|
|
|
|
}
|
|
else {
|
|
|
|
// The region is too close and we have to look at sub-regions
|
|
r = RegionMatrix[rp(r, 'firstChild')];
|
|
continue;
|
|
}
|
|
|
|
}
|
|
else {
|
|
|
|
// The region has no sub-region
|
|
// If there is a node r[0] and it is not n, then repulse
|
|
|
|
if (RegionMatrix[rp(r, 'node')] >= 0 && RegionMatrix[rp(r, 'node')] !== n) {
|
|
xDist = NodeMatrix[np(n, 'x')] - NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'x')];
|
|
yDist = NodeMatrix[np(n, 'y')] - NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'y')];
|
|
|
|
distance = Math.sqrt(xDist * xDist + yDist * yDist);
|
|
|
|
if (W.settings.adjustSizes) {
|
|
|
|
//-- Linear Anti-collision Repulsion
|
|
if (distance > 0) {
|
|
factor = coefficient * NodeMatrix[np(n, 'mass')] *
|
|
NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'mass')] / distance / distance;
|
|
|
|
NodeMatrix[np(n, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n, 'dy')] += yDist * factor;
|
|
}
|
|
else if (distance < 0) {
|
|
factor = -coefficient * NodeMatrix[np(n, 'mass')] *
|
|
NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'mass')] / distance;
|
|
|
|
NodeMatrix[np(n, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n, 'dy')] += yDist * factor;
|
|
}
|
|
}
|
|
else {
|
|
|
|
//-- Linear Repulsion
|
|
if (distance > 0) {
|
|
factor = coefficient * NodeMatrix[np(n, 'mass')] *
|
|
NodeMatrix[np(RegionMatrix[rp(r, 'node')], 'mass')] / distance / distance;
|
|
|
|
NodeMatrix[np(n, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n, 'dy')] += yDist * factor;
|
|
}
|
|
}
|
|
|
|
}
|
|
|
|
// When this is done, we iterate. We have to look at the next sibling.
|
|
if (RegionMatrix[rp(r, 'nextSibling')] < 0)
|
|
break; // No next sibling: we have finished the tree
|
|
r = RegionMatrix[rp(r, 'nextSibling')];
|
|
continue;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
coefficient = W.settings.scalingRatio;
|
|
|
|
// Square iteration
|
|
for (n1 = 0; n1 < W.nodesLength; n1 += W.ppn) {
|
|
for (n2 = 0; n2 < n1; n2 += W.ppn) {
|
|
|
|
// Common to both methods
|
|
xDist = NodeMatrix[np(n1, 'x')] - NodeMatrix[np(n2, 'x')];
|
|
yDist = NodeMatrix[np(n1, 'y')] - NodeMatrix[np(n2, 'y')];
|
|
|
|
if (W.settings.adjustSizes) {
|
|
|
|
//-- Anticollision Linear Repulsion
|
|
distance = Math.sqrt(xDist * xDist + yDist * yDist) -
|
|
NodeMatrix[np(n1, 'size')] -
|
|
NodeMatrix[np(n2, 'size')];
|
|
|
|
if (distance > 0) {
|
|
factor = coefficient *
|
|
NodeMatrix[np(n1, 'mass')] *
|
|
NodeMatrix[np(n2, 'mass')] /
|
|
distance / distance;
|
|
|
|
// Updating nodes' dx and dy
|
|
NodeMatrix[np(n1, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n1, 'dy')] += yDist * factor;
|
|
|
|
NodeMatrix[np(n2, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n2, 'dy')] += yDist * factor;
|
|
}
|
|
else if (distance < 0) {
|
|
factor = 100 * coefficient *
|
|
NodeMatrix[np(n1, 'mass')] *
|
|
NodeMatrix[np(n2, 'mass')];
|
|
|
|
// Updating nodes' dx and dy
|
|
NodeMatrix[np(n1, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n1, 'dy')] += yDist * factor;
|
|
|
|
NodeMatrix[np(n2, 'dx')] -= xDist * factor;
|
|
NodeMatrix[np(n2, 'dy')] -= yDist * factor;
|
|
}
|
|
}
|
|
else {
|
|
|
|
//-- Linear Repulsion
|
|
distance = Math.sqrt(xDist * xDist + yDist * yDist);
|
|
|
|
if (distance > 0) {
|
|
factor = coefficient *
|
|
NodeMatrix[np(n1, 'mass')] *
|
|
NodeMatrix[np(n2, 'mass')] /
|
|
distance / distance;
|
|
|
|
// Updating nodes' dx and dy
|
|
NodeMatrix[np(n1, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n1, 'dy')] += yDist * factor;
|
|
|
|
NodeMatrix[np(n2, 'dx')] -= xDist * factor;
|
|
NodeMatrix[np(n2, 'dy')] -= yDist * factor;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
// 3) Gravity
|
|
//------------
|
|
g = W.settings.gravity / W.settings.scalingRatio;
|
|
coefficient = W.settings.scalingRatio;
|
|
for (n = 0; n < W.nodesLength; n += W.ppn) {
|
|
factor = 0;
|
|
|
|
// Common to both methods
|
|
xDist = NodeMatrix[np(n, 'x')];
|
|
yDist = NodeMatrix[np(n, 'y')];
|
|
distance = Math.sqrt(
|
|
Math.pow(xDist, 2) + Math.pow(yDist, 2)
|
|
);
|
|
|
|
if (W.settings.strongGravityMode) {
|
|
|
|
//-- Strong gravity
|
|
if (distance > 0)
|
|
factor = coefficient * NodeMatrix[np(n, 'mass')] * g;
|
|
}
|
|
else {
|
|
|
|
//-- Linear Anti-collision Repulsion n
|
|
if (distance > 0)
|
|
factor = coefficient * NodeMatrix[np(n, 'mass')] * g / distance;
|
|
}
|
|
|
|
// Updating node's dx and dy
|
|
NodeMatrix[np(n, 'dx')] -= xDist * factor;
|
|
NodeMatrix[np(n, 'dy')] -= yDist * factor;
|
|
}
|
|
|
|
|
|
|
|
// 4) Attraction
|
|
//---------------
|
|
coefficient = 1 *
|
|
(W.settings.outboundAttractionDistribution ?
|
|
outboundAttCompensation :
|
|
1);
|
|
|
|
// TODO: simplify distance
|
|
// TODO: coefficient is always used as -c --> optimize?
|
|
for (e = 0; e < W.edgesLength; e += W.ppe) {
|
|
n1 = EdgeMatrix[ep(e, 'source')];
|
|
n2 = EdgeMatrix[ep(e, 'target')];
|
|
w = EdgeMatrix[ep(e, 'weight')];
|
|
|
|
// Edge weight influence
|
|
ewc = Math.pow(w, W.settings.edgeWeightInfluence);
|
|
|
|
// Common measures
|
|
xDist = NodeMatrix[np(n1, 'x')] - NodeMatrix[np(n2, 'x')];
|
|
yDist = NodeMatrix[np(n1, 'y')] - NodeMatrix[np(n2, 'y')];
|
|
|
|
// Applying attraction to nodes
|
|
if (W.settings.adjustSizes) {
|
|
|
|
distance = Math.sqrt(
|
|
(Math.pow(xDist, 2) + Math.pow(yDist, 2)) -
|
|
NodeMatrix[np(n1, 'size')] -
|
|
NodeMatrix[np(n2, 'size')]
|
|
);
|
|
|
|
if (W.settings.linLogMode) {
|
|
if (W.settings.outboundAttractionDistribution) {
|
|
|
|
//-- LinLog Degree Distributed Anti-collision Attraction
|
|
if (distance > 0) {
|
|
factor = -coefficient * ewc * Math.log(1 + distance) /
|
|
distance /
|
|
NodeMatrix[np(n1, 'mass')];
|
|
}
|
|
}
|
|
else {
|
|
|
|
//-- LinLog Anti-collision Attraction
|
|
if (distance > 0) {
|
|
factor = -coefficient * ewc * Math.log(1 + distance) / distance;
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
if (W.settings.outboundAttractionDistribution) {
|
|
|
|
//-- Linear Degree Distributed Anti-collision Attraction
|
|
if (distance > 0) {
|
|
factor = -coefficient * ewc / NodeMatrix[np(n1, 'mass')];
|
|
}
|
|
}
|
|
else {
|
|
|
|
//-- Linear Anti-collision Attraction
|
|
if (distance > 0) {
|
|
factor = -coefficient * ewc;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
|
|
distance = Math.sqrt(
|
|
Math.pow(xDist, 2) + Math.pow(yDist, 2)
|
|
);
|
|
|
|
if (W.settings.linLogMode) {
|
|
if (W.settings.outboundAttractionDistribution) {
|
|
|
|
//-- LinLog Degree Distributed Attraction
|
|
if (distance > 0) {
|
|
factor = -coefficient * ewc * Math.log(1 + distance) /
|
|
distance /
|
|
NodeMatrix[np(n1, 'mass')];
|
|
}
|
|
}
|
|
else {
|
|
|
|
//-- LinLog Attraction
|
|
if (distance > 0)
|
|
factor = -coefficient * ewc * Math.log(1 + distance) / distance;
|
|
}
|
|
}
|
|
else {
|
|
if (W.settings.outboundAttractionDistribution) {
|
|
|
|
//-- Linear Attraction Mass Distributed
|
|
// NOTE: Distance is set to 1 to override next condition
|
|
distance = 1;
|
|
factor = -coefficient * ewc / NodeMatrix[np(n1, 'mass')];
|
|
}
|
|
else {
|
|
|
|
//-- Linear Attraction
|
|
// NOTE: Distance is set to 1 to override next condition
|
|
distance = 1;
|
|
factor = -coefficient * ewc;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Updating nodes' dx and dy
|
|
// TODO: if condition or factor = 1?
|
|
if (distance > 0) {
|
|
|
|
// Updating nodes' dx and dy
|
|
NodeMatrix[np(n1, 'dx')] += xDist * factor;
|
|
NodeMatrix[np(n1, 'dy')] += yDist * factor;
|
|
|
|
NodeMatrix[np(n2, 'dx')] -= xDist * factor;
|
|
NodeMatrix[np(n2, 'dy')] -= yDist * factor;
|
|
}
|
|
}
|
|
|
|
|
|
// 5) Apply Forces
|
|
//-----------------
|
|
var force,
|
|
swinging,
|
|
traction,
|
|
nodespeed;
|
|
|
|
// MATH: sqrt and square distances
|
|
if (W.settings.adjustSizes) {
|
|
|
|
for (n = 0; n < W.nodesLength; n += W.ppn) {
|
|
if (!NodeMatrix[np(n, 'fixed')]) {
|
|
force = Math.sqrt(
|
|
Math.pow(NodeMatrix[np(n, 'dx')], 2) +
|
|
Math.pow(NodeMatrix[np(n, 'dy')], 2)
|
|
);
|
|
|
|
if (force > W.maxForce) {
|
|
NodeMatrix[np(n, 'dx')] =
|
|
NodeMatrix[np(n, 'dx')] * W.maxForce / force;
|
|
NodeMatrix[np(n, 'dy')] =
|
|
NodeMatrix[np(n, 'dy')] * W.maxForce / force;
|
|
}
|
|
|
|
swinging = NodeMatrix[np(n, 'mass')] *
|
|
Math.sqrt(
|
|
(NodeMatrix[np(n, 'old_dx')] - NodeMatrix[np(n, 'dx')]) *
|
|
(NodeMatrix[np(n, 'old_dx')] - NodeMatrix[np(n, 'dx')]) +
|
|
(NodeMatrix[np(n, 'old_dy')] - NodeMatrix[np(n, 'dy')]) *
|
|
(NodeMatrix[np(n, 'old_dy')] - NodeMatrix[np(n, 'dy')])
|
|
);
|
|
|
|
traction = Math.sqrt(
|
|
(NodeMatrix[np(n, 'old_dx')] + NodeMatrix[np(n, 'dx')]) *
|
|
(NodeMatrix[np(n, 'old_dx')] + NodeMatrix[np(n, 'dx')]) +
|
|
(NodeMatrix[np(n, 'old_dy')] + NodeMatrix[np(n, 'dy')]) *
|
|
(NodeMatrix[np(n, 'old_dy')] + NodeMatrix[np(n, 'dy')])
|
|
) / 2;
|
|
|
|
nodespeed =
|
|
0.1 * Math.log(1 + traction) / (1 + Math.sqrt(swinging));
|
|
|
|
// Updating node's positon
|
|
NodeMatrix[np(n, 'x')] =
|
|
NodeMatrix[np(n, 'x')] + NodeMatrix[np(n, 'dx')] *
|
|
(nodespeed / W.settings.slowDown);
|
|
NodeMatrix[np(n, 'y')] =
|
|
NodeMatrix[np(n, 'y')] + NodeMatrix[np(n, 'dy')] *
|
|
(nodespeed / W.settings.slowDown);
|
|
}
|
|
}
|
|
}
|
|
else {
|
|
|
|
for (n = 0; n < W.nodesLength; n += W.ppn) {
|
|
if (!NodeMatrix[np(n, 'fixed')]) {
|
|
|
|
swinging = NodeMatrix[np(n, 'mass')] *
|
|
Math.sqrt(
|
|
(NodeMatrix[np(n, 'old_dx')] - NodeMatrix[np(n, 'dx')]) *
|
|
(NodeMatrix[np(n, 'old_dx')] - NodeMatrix[np(n, 'dx')]) +
|
|
(NodeMatrix[np(n, 'old_dy')] - NodeMatrix[np(n, 'dy')]) *
|
|
(NodeMatrix[np(n, 'old_dy')] - NodeMatrix[np(n, 'dy')])
|
|
);
|
|
|
|
traction = Math.sqrt(
|
|
(NodeMatrix[np(n, 'old_dx')] + NodeMatrix[np(n, 'dx')]) *
|
|
(NodeMatrix[np(n, 'old_dx')] + NodeMatrix[np(n, 'dx')]) +
|
|
(NodeMatrix[np(n, 'old_dy')] + NodeMatrix[np(n, 'dy')]) *
|
|
(NodeMatrix[np(n, 'old_dy')] + NodeMatrix[np(n, 'dy')])
|
|
) / 2;
|
|
|
|
nodespeed = NodeMatrix[np(n, 'convergence')] *
|
|
Math.log(1 + traction) / (1 + Math.sqrt(swinging));
|
|
|
|
// Updating node convergence
|
|
NodeMatrix[np(n, 'convergence')] =
|
|
Math.min(1, Math.sqrt(
|
|
nodespeed *
|
|
(Math.pow(NodeMatrix[np(n, 'dx')], 2) +
|
|
Math.pow(NodeMatrix[np(n, 'dy')], 2)) /
|
|
(1 + Math.sqrt(swinging))
|
|
));
|
|
|
|
// Updating node's positon
|
|
NodeMatrix[np(n, 'x')] =
|
|
NodeMatrix[np(n, 'x')] + NodeMatrix[np(n, 'dx')] *
|
|
(nodespeed / W.settings.slowDown);
|
|
NodeMatrix[np(n, 'y')] =
|
|
NodeMatrix[np(n, 'y')] + NodeMatrix[np(n, 'dy')] *
|
|
(nodespeed / W.settings.slowDown);
|
|
}
|
|
}
|
|
}
|
|
|
|
// Counting one more iteration
|
|
W.iterations++;
|
|
}
|
|
|
|
/**
|
|
* Message reception & sending
|
|
*/
|
|
|
|
// Sending data back to the supervisor
|
|
var sendNewCoords;
|
|
|
|
if (typeof window !== 'undefined' && window.document) {
|
|
|
|
// From same document as sigma
|
|
sendNewCoords = function() {
|
|
var e;
|
|
|
|
if (document.createEvent) {
|
|
e = document.createEvent('Event');
|
|
e.initEvent('newCoords', true, false);
|
|
}
|
|
else {
|
|
e = document.createEventObject();
|
|
e.eventType = 'newCoords';
|
|
}
|
|
|
|
e.eventName = 'newCoords';
|
|
e.data = {
|
|
nodes: NodeMatrix.buffer
|
|
};
|
|
requestAnimationFrame(function() {
|
|
document.dispatchEvent(e);
|
|
});
|
|
};
|
|
}
|
|
else {
|
|
|
|
// From a WebWorker
|
|
sendNewCoords = function() {
|
|
self.postMessage(
|
|
{nodes: NodeMatrix.buffer},
|
|
[NodeMatrix.buffer]
|
|
);
|
|
};
|
|
}
|
|
|
|
// Algorithm run
|
|
function run(n) {
|
|
for (var i = 0; i < n; i++)
|
|
pass();
|
|
sendNewCoords();
|
|
}
|
|
|
|
// On supervisor message
|
|
var listener = function(e) {
|
|
switch (e.data.action) {
|
|
case 'start':
|
|
init(
|
|
new Float32Array(e.data.nodes),
|
|
new Float32Array(e.data.edges),
|
|
e.data.config
|
|
);
|
|
|
|
// First iteration(s)
|
|
run(W.settings.startingIterations);
|
|
break;
|
|
|
|
case 'loop':
|
|
NodeMatrix = new Float32Array(e.data.nodes);
|
|
run(W.settings.iterationsPerRender);
|
|
break;
|
|
|
|
case 'config':
|
|
|
|
// Merging new settings
|
|
configure(e.data.config);
|
|
break;
|
|
|
|
case 'kill':
|
|
|
|
// Deleting context for garbage collection
|
|
__emptyObject(W);
|
|
NodeMatrix = null;
|
|
EdgeMatrix = null;
|
|
RegionMatrix = null;
|
|
self.removeEventListener('message', listener);
|
|
break;
|
|
|
|
default:
|
|
}
|
|
};
|
|
|
|
// Adding event listener
|
|
self.addEventListener('message', listener);
|
|
};
|
|
|
|
|
|
/**
|
|
* Exporting
|
|
* ----------
|
|
*
|
|
* Crush the worker function and make it accessible by sigma's instances so
|
|
* the supervisor can call it.
|
|
*/
|
|
function crush(fnString) {
|
|
var pattern,
|
|
i,
|
|
l;
|
|
|
|
var np = [
|
|
'x',
|
|
'y',
|
|
'dx',
|
|
'dy',
|
|
'old_dx',
|
|
'old_dy',
|
|
'mass',
|
|
'convergence',
|
|
'size',
|
|
'fixed'
|
|
];
|
|
|
|
var ep = [
|
|
'source',
|
|
'target',
|
|
'weight'
|
|
];
|
|
|
|
var rp = [
|
|
'node',
|
|
'centerX',
|
|
'centerY',
|
|
'size',
|
|
'nextSibling',
|
|
'firstChild',
|
|
'mass',
|
|
'massCenterX',
|
|
'massCenterY'
|
|
];
|
|
|
|
// rp
|
|
// NOTE: Must go first
|
|
for (i = 0, l = rp.length; i < l; i++) {
|
|
pattern = new RegExp('rp\\(([^,]*), \'' + rp[i] + '\'\\)', 'g');
|
|
fnString = fnString.replace(
|
|
pattern,
|
|
(i === 0) ? '$1' : '$1 + ' + i
|
|
);
|
|
}
|
|
|
|
// np
|
|
for (i = 0, l = np.length; i < l; i++) {
|
|
pattern = new RegExp('np\\(([^,]*), \'' + np[i] + '\'\\)', 'g');
|
|
fnString = fnString.replace(
|
|
pattern,
|
|
(i === 0) ? '$1' : '$1 + ' + i
|
|
);
|
|
}
|
|
|
|
// ep
|
|
for (i = 0, l = ep.length; i < l; i++) {
|
|
pattern = new RegExp('ep\\(([^,]*), \'' + ep[i] + '\'\\)', 'g');
|
|
fnString = fnString.replace(
|
|
pattern,
|
|
(i === 0) ? '$1' : '$1 + ' + i
|
|
);
|
|
}
|
|
|
|
return fnString;
|
|
}
|
|
|
|
// Exporting
|
|
function getWorkerFn() {
|
|
var fnString = crush ? crush(Worker.toString()) : Worker.toString();
|
|
return ';(' + fnString + ').call(this);';
|
|
}
|
|
|
|
if (inWebWorker) {
|
|
|
|
// We are in a webworker, so we launch the Worker function
|
|
eval(getWorkerFn());
|
|
}
|
|
else {
|
|
|
|
// We are requesting the worker from sigma, we retrieve it therefore
|
|
if (typeof sigma === 'undefined')
|
|
throw 'sigma is not declared';
|
|
|
|
sigma.prototype.getForceAtlas2Worker = getWorkerFn;
|
|
}
|
|
}).call(this);
|