forceAtlas2Worker.js
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/****************************
* Vector2 math functions
***************************/
function forceAtlas2Worker() {
var vec2 = {
create: function() {
return new Float32Array(2);
},
dist: function(a, b) {
var x = b[0] - a[0];
var y = b[1] - a[1];
return Math.sqrt(x*x + y*y);
},
len: function(a) {
var x = a[0];
var y = a[1];
return Math.sqrt(x*x + y*y);
},
scaleAndAdd: function(out, a, b, scale) {
out[0] = a[0] + b[0] * scale;
out[1] = a[1] + b[1] * scale;
return out;
},
scale: function(out, a, b) {
out[0] = a[0] * b;
out[1] = a[1] * b;
return out;
},
add: function(out, a, b) {
out[0] = a[0] + b[0];
out[1] = a[1] + b[1];
return out;
},
sub: function(out, a, b) {
out[0] = a[0] - b[0];
out[1] = a[1] - b[1];
return out;
},
normalize: function(out, a) {
var x = a[0];
var y = a[1];
var len = x*x + y*y;
if (len > 0) {
//TODO: evaluate use of glm_invsqrt here?
len = 1 / Math.sqrt(len);
out[0] = a[0] * len;
out[1] = a[1] * len;
}
return out;
},
negate: function(out, a) {
out[0] = -a[0];
out[1] = -a[1];
return out;
},
copy: function(out, a) {
out[0] = a[0];
out[1] = a[1];
return out;
},
set: function(out, x, y) {
out[0] = x;
out[1] = y;
return out;
}
}
/****************************
* Class: Region
***************************/
function Region() {
this.subRegions = [];
this.nSubRegions = 0;
this.node = null;
this.mass = 0;
this.centerOfMass = null;
this.bbox = new Float32Array(4);
this.size = 0;
}
var regionProto = Region.prototype;
// Reset before update
regionProto.beforeUpdate = function() {
for (var i = 0; i < this.nSubRegions; i++) {
this.subRegions[i].beforeUpdate();
}
this.mass = 0;
if (this.centerOfMass) {
this.centerOfMass[0] = 0;
this.centerOfMass[1] = 0;
}
this.nSubRegions = 0;
this.node = null;
};
// Clear after update
regionProto.afterUpdate = function() {
this.subRegions.length = this.nSubRegions;
for (var i = 0; i < this.nSubRegions; i++) {
this.subRegions[i].afterUpdate();
}
};
regionProto.addNode = function(node) {
if (this.nSubRegions === 0) {
if (this.node == null) {
this.node = node;
return;
}
// Already have node, subdivide self.
else {
this._addNodeToSubRegion(this.node);
this.node = null;
}
}
this._addNodeToSubRegion(node);
this._updateCenterOfMass(node);
};
regionProto.findSubRegion = function(x, y) {
for (var i = 0; i < this.nSubRegions; i++) {
var region = this.subRegions[i];
if (region.contain(x, y)) {
return region;
}
}
};
regionProto.contain = function(x, y) {
return this.bbox[0] <= x
&& this.bbox[2] >= x
&& this.bbox[1] <= y
&& this.bbox[3] >= y;
};
regionProto.setBBox = function(minX, minY, maxX, maxY) {
// Min
this.bbox[0] = minX;
this.bbox[1] = minY;
// Max
this.bbox[2] = maxX;
this.bbox[3] = maxY;
this.size = (maxX - minX + maxY - minY) / 2;
};
regionProto._newSubRegion = function() {
var subRegion = this.subRegions[this.nSubRegions];
if (!subRegion) {
subRegion = new Region();
this.subRegions[this.nSubRegions] = subRegion;
}
this.nSubRegions++;
return subRegion;
};
regionProto._addNodeToSubRegion = function(node) {
var subRegion = this.findSubRegion(node.position[0], node.position[1]);
var bbox = this.bbox;
if (!subRegion) {
var cx = (bbox[0] + bbox[2]) / 2;
var cy = (bbox[1] + bbox[3]) / 2;
var w = (bbox[2] - bbox[0]) / 2;
var h = (bbox[3] - bbox[1]) / 2;
var xi = node.position[0] >= cx ? 1 : 0;
var yi = node.position[1] >= cy ? 1 : 0;
var subRegion = this._newSubRegion();
// Min
subRegion.setBBox(
// Min
xi * w + bbox[0],
yi * h + bbox[1],
// Max
(xi + 1) * w + bbox[0],
(yi + 1) * h + bbox[1]
);
}
subRegion.addNode(node);
};
regionProto._updateCenterOfMass = function(node) {
// Incrementally update
if (this.centerOfMass == null) {
this.centerOfMass = new Float32Array(2);
}
var x = this.centerOfMass[0] * this.mass;
var y = this.centerOfMass[1] * this.mass;
x += node.position[0] * node.mass;
y += node.position[1] * node.mass;
this.mass += node.mass;
this.centerOfMass[0] = x / this.mass;
this.centerOfMass[1] = y / this.mass;
};
/****************************
* Class: Graph Node
***************************/
function GraphNode() {
this.position = new Float32Array(2);
this.force = vec2.create();
this.forcePrev = vec2.create();
// If repulsionByDegree is true
// mass = inDegree + outDegree + 1
// Else
// mass is manually set
this.mass = 1;
this.inDegree = 0;
this.outDegree = 0;
// Optional
// this.size = 1;
}
/****************************
* Class: Graph Edge
***************************/
function GraphEdge(source, target) {
this.source = source;
this.target = target;
this.weight = 1;
}
/****************************
* Class: ForceStlas2
***************************/
function ForceAtlas2() {
//-------------
// Configs
// If auto settings is true
// barnesHutOptimize,
// barnesHutTheta,
// scaling,
// jitterTolerence
// Will be set by the system automatically
// preventOverlap will be set false
// if node size is not given
this.autoSettings = true;
// Barnes Hut
// http://arborjs.org/docs/barnes-hut
this.barnesHutOptimize = true;
this.barnesHutTheta = 1.5;
// Force Atlas2 Configs
this.repulsionByDegree = true;
this.linLogMode = false;
this.strongGravityMode = false;
this.gravity = 1.0;
this.scaling = 1.0;
this.edgeWeightInfluence = 1.0;
this.jitterTolerence = 0.1;
// TODO
this.preventOverlap = false;
this.dissuadeHubs = false;
//
this.rootRegion = new Region();
this.rootRegion.centerOfMass = vec2.create();
this.nodes = [];
this.edges = [];
this.bbox = new Float32Array(4);
this.gravityCenter = null;
this._massArr = null;
this._swingingArr = null;
this._sizeArr = null;
this._globalSpeed = 0;
}
var forceAtlas2Proto = ForceAtlas2.prototype;
forceAtlas2Proto.initNodes = function(positionArr, massArr, sizeArr) {
var nNodes = massArr.length;
this.nodes.length = 0;
var haveSize = typeof(sizeArr) != 'undefined';
for (var i = 0; i < nNodes; i++) {
var node = new GraphNode();
node.position[0] = positionArr[i * 2];
node.position[1] = positionArr[i * 2 + 1];
node.mass = massArr[i];
if (haveSize) {
node.size = sizeArr[i];
}
this.nodes.push(node);
}
this._massArr = massArr;
this._swingingArr = new Float32Array(nNodes);
if (haveSize) {
this._sizeArr = sizeArr;
}
};
forceAtlas2Proto.initEdges = function(edgeArr, edgeWeightArr) {
var nEdges = edgeArr.length / 2;
this.edges.length = 0;
for (var i = 0; i < nEdges; i++) {
var sIdx = edgeArr[i * 2];
var tIdx = edgeArr[i * 2 + 1];
var sNode = this.nodes[sIdx];
var tNode = this.nodes[tIdx];
if (!sNode || !tNode) {
console.error('Node not exists, try initNodes before initEdges');
return;
}
sNode.outDegree++;
tNode.inDegree++;
var edge = new GraphEdge(sNode, tNode);
if (edgeWeightArr) {
edge.weight = edgeWeightArr[i];
}
this.edges.push(edge);
}
}
forceAtlas2Proto.updateSettings = function() {
if (this.repulsionByDegree) {
for (var i = 0; i < this.nodes.length; i++) {
var node = this.nodes[i];
node.mass = node.inDegree + node.outDegree + 1;
}
}
else {
for (var i = 0; i < this.nodes.length; i++) {
var node = this.nodes[i];
node.mass = this._massArr[i];
}
}
};
forceAtlas2Proto.update = function() {
var nNodes = this.nodes.length;
this.updateSettings();
this.updateBBox();
// Update region
if (this.barnesHutOptimize) {
this.rootRegion.setBBox(
this.bbox[0], this.bbox[1],
this.bbox[2], this.bbox[3]
);
this.rootRegion.beforeUpdate();
for (var i = 0; i < nNodes; i++) {
this.rootRegion.addNode(this.nodes[i]);
}
this.rootRegion.afterUpdate();
}
// Reset forces
for (var i = 0; i < nNodes; i++) {
var node = this.nodes[i];
vec2.copy(node.forcePrev, node.force);
vec2.set(node.force, 0, 0);
}
// Compute forces
// Repulsion
for (var i = 0; i < nNodes; i++) {
var na = this.nodes[i];
if (this.barnesHutOptimize) {
this.applyRegionToNodeRepulsion(this.rootRegion, na);
}
else {
for (var j = i + 1; j < nNodes; j++) {
var nb = this.nodes[j];
this.applyNodeToNodeRepulsion(na, nb, false);
}
}
// Gravity
if (this.gravity > 0) {
if (this.strongGravityMode) {
this.applyNodeStrongGravity(na);
}
else {
this.applyNodeGravity(na);
}
}
}
// Attraction
for (var i = 0; i < this.edges.length; i++) {
this.applyEdgeAttraction(this.edges[i]);
}
// Handle swinging
var swingWeightedSum = 0;
var tractionWeightedSum = 0;
var tmp = vec2.create();
for (var i = 0; i < nNodes; i++) {
var node = this.nodes[i];
var swing = vec2.dist(node.force, node.forcePrev);
swingWeightedSum += swing * node.mass;
vec2.add(tmp, node.force, node.forcePrev);
var traction = vec2.len(tmp) * 0.5;
tractionWeightedSum += traction * node.mass;
// Save the value for using later
this._swingingArr[i] = swing;
}
var globalSpeed = this.jitterTolerence * this.jitterTolerence
* tractionWeightedSum / swingWeightedSum;
// NB: During our tests we observed that an excessive rise of the global speed could have a negative impact.
// That’s why we limited the increase of global speed s(t)(G) to 50% of the previous step s(t−1)(G).
if (this._globalSpeed > 0) {
globalSpeed = Math.min(globalSpeed / this._globalSpeed, 1.5) * this._globalSpeed;
}
this._globalSpeed = globalSpeed;
// Apply forces
for (var i = 0; i < nNodes; i++) {
var node = this.nodes[i];
var swing = this._swingingArr[i];
var speed = 0.1 * globalSpeed / (1 + globalSpeed * Math.sqrt(swing));
// Additional constraint to prevent local speed gets too high
var df = vec2.len(node.force);
if (df > 0) {
speed = Math.min(df * speed, 10) / df;
vec2.scaleAndAdd(node.position, node.position, node.force, speed);
}
}
};
forceAtlas2Proto.applyRegionToNodeRepulsion = (function() {
var v = vec2.create();
return function applyRegionToNodeRepulsion(region, node) {
if (region.node) { // Region is a leaf
this.applyNodeToNodeRepulsion(region.node, node, true);
}
else {
vec2.sub(v, node.position, region.centerOfMass);
var d2 = v[0] * v[0] + v[1] * v[1];
if (d2 > this.barnesHutTheta * region.size * region.size) {
var factor = this.scaling * node.mass * region.mass / d2;
vec2.scaleAndAdd(node.force, node.force, v, factor);
}
else {
for (var i = 0; i < region.nSubRegions; i++) {
this.applyRegionToNodeRepulsion(region.subRegions[i], node);
}
}
}
}
})();
forceAtlas2Proto.applyNodeToNodeRepulsion = (function() {
var v = vec2.create();
return function applyNodeToNodeRepulsion(na, nb, oneWay) {
if (na == nb) {
return;
}
vec2.sub(v, na.position, nb.position);
var d2 = v[0] * v[0] + v[1] * v[1];
// PENDING
if (d2 === 0) {
return;
}
var factor;
if (this.preventOverlap) {
var d = Math.sqrt(d2);
d = d - na.size - nb.size;
if (d > 0) {
factor = this.scaling * na.mass * nb.mass / (d * d);
}
else if (d < 0) {
// A stronger repulsion if overlap
factor = this.scaling * 100 * na.mass * nb.mass;
}
else {
// No repulsion
return;
}
}
else {
// Divide factor by an extra `d` to normalize the `v`
factor = this.scaling * na.mass * nb.mass / d2;
}
vec2.scaleAndAdd(na.force, na.force, v, factor);
vec2.scaleAndAdd(nb.force, nb.force, v, -factor);
}
})();
forceAtlas2Proto.applyEdgeAttraction = (function() {
var v = vec2.create();
return function applyEdgeAttraction(edge) {
var na = edge.source;
var nb = edge.target;
vec2.sub(v, na.position, nb.position);
var d = vec2.len(v);
var w;
if (this.edgeWeightInfluence === 0) {
w = 1;
}
else if (this.edgeWeightInfluence === 1) {
w = edge.weight;
}
else {
w = Math.pow(edge.weight, this.edgeWeightInfluence);
}
var factor;
if (this.preventOverlap) {
d = d - na.size - nb.size;
if (d <= 0) {
// No attraction
return;
}
}
if (this.linLogMode) {
// Divide factor by an extra `d` to normalize the `v`
factor = - w * Math.log(d + 1) / (d + 1);
}
else {
factor = - w;
}
vec2.scaleAndAdd(na.force, na.force, v, factor);
vec2.scaleAndAdd(nb.force, nb.force, v, -factor);
}
})();
forceAtlas2Proto.applyNodeGravity = (function() {
var v = vec2.create();
return function(node) {
vec2.sub(v, this.gravityCenter, node.position);
var d = vec2.len(v);
vec2.scaleAndAdd(node.force, node.force, v, this.gravity * node.mass / (d + 1));
}
})();
forceAtlas2Proto.applyNodeStrongGravity = (function() {
var v = vec2.create();
return function(node) {
vec2.sub(v, this.gravityCenter, node.position);
vec2.scaleAndAdd(node.force, node.force, v, this.gravity * node.mass);
}
})();
forceAtlas2Proto.updateBBox = function() {
var minX = Infinity;
var minY = Infinity;
var maxX = -Infinity;
var maxY = -Infinity;
for (var i = 0; i < this.nodes.length; i++) {
var pos = this.nodes[i].position;
minX = Math.min(minX, pos[0]);
minY = Math.min(minY, pos[1]);
maxX = Math.max(maxX, pos[0]);
maxY = Math.max(maxY, pos[1]);
}
this.bbox[0] = minX;
this.bbox[1] = minY;
this.bbox[2] = maxX;
this.bbox[3] = maxY;
};
forceAtlas2Proto.getGlobalSpeed = function () {
return this._globalSpeed;
}
/****************************
* Main process
***************************/
var forceAtlas2 = null;
self.onmessage = function(e) {
switch(e.data.cmd) {
case 'init':
forceAtlas2 = new ForceAtlas2();
forceAtlas2.initNodes(e.data.nodesPosition, e.data.nodesMass, e.data.nodesSize);
forceAtlas2.initEdges(e.data.edges, e.data.edgesWeight);
break;
case 'updateConfig':
if (forceAtlas2) {
for (var name in e.data.config) {
forceAtlas2[name] = e.data.config[name];
}
}
break;
case 'update':
var steps = e.data.steps;
if (forceAtlas2) {
for (var i = 0; i < steps; i++) {
forceAtlas2.update();
}
var nNodes = forceAtlas2.nodes.length;
var positionArr = new Float32Array(nNodes * 2);
// Callback
for (var i = 0; i < nNodes; i++) {
var node = forceAtlas2.nodes[i];
positionArr[i * 2] = node.position[0];
positionArr[i * 2 + 1] = node.position[1];
}
self.postMessage({
buffer: positionArr.buffer,
globalSpeed: forceAtlas2.getGlobalSpeed()
}, [positionArr.buffer]);
}
else {
// Not initialzied yet
var emptyArr = new Float32Array();
// Post transfer object
self.postMessage({
buffer: emptyArr.buffer,
globalSpeed: forceAtlas2.getGlobalSpeed()
}, [emptyArr.buffer]);
}
break;
}
}
}
export default forceAtlas2Worker;