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spatialGraphLib.js
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spatialGraphLib.js
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/*
* SpatialGraphLib.js
* v0.10
*
* This library provides tools to generate and examine spatial graphs,
* i.e. graphs that are embedded into space. It includes a reference
* implementation of the Scale-Invariant Spatial Graph (SISG) Model.
* In addition to spatial graphs, the generation of some non-spatial graph
* models is supported.
*
* Copyright (c) 2015 by Franz-Benjamin Mocnik
* The library is free to use for non-commercial projects.
* Copys of the library must always contain this license.
*/
var Graph = function() {
var nodes = [];
var edges = [];
/****** BASIC DATA OF THE GRAPH ******/
// return the nodes
this.getNodes = function() {
return nodes;
};
// return the edges
this.getEdges = function() {
return edges;
};
// bounds of the set of nodes
this.geoBounds = function() {
var nodesLat = nodes.map(function(x) {
return x.coordinates[0];
});
var nodesLon = nodes.map(function(x) {
return x.coordinates[1];
});
if (nodesLat.length > 0 && nodesLon.length > 0) return [[minArray(nodesLat), minArray(nodesLon)], [maxArray(nodesLat), maxArray(nodesLon)]];
return null;
}
/****** BASIC MODIFICATION OF THE GRAPH ******/
// add nodes
this.addNodes = function(ns) {
nodes = nodes.concat(ns);
return this.nubNodes();
};
// clear graph
this.clearGraph = function() {
nodes = [];
edges = [];
return this;
};
// clear edges
this.clearEdges = function() {
edges = [];
return this;
};
// make the nodes and edges unique
var nubBy = function(array, key) {
var seen = {};
return array.filter(function(item) {
var k = key(item);
return seen.hasOwnProperty(k) ? false : (seen[k] = true);
});
};
this.nubNodes = function() {
nodes = nubBy(nodes, JSON.stringify);
return this;
};
this.nubEdges = function() {
edges = nubBy(edges, JSON.stringify);
return this;
};
/****** ADD NODES: RANDOM ******/
// add random nodes to graph
this.addNodesRandom = function(numberOfPoints, latRange, lonRange) {
for (var j = 0; j < numberOfPoints; j++) {
nodes.push({
coordinates: [latRange[0] + (latRange[1] - latRange[0]) * Math.random(), lonRange[0] + (lonRange[1] - lonRange[0]) * Math.random()],
});
}
return this.nubNodes();
};
/****** ADD NODES FROM FILE ******/
// add nodes from json
this.addNodesGeoJSON = function(json) {
for (var j in json.features) {
var n = json.features[j];
var name = null;
if (n.properties) {
if (n.properties.name) name = n.properties.name;
if (n.properties.NAME) name = n.properties.NAME;
if (n.properties.naam) name = n.properties.naam;
if (n.properties.HTXT) name = n.properties.HTXT;
}
if (n.geometry && n.geometry.coordinates) {
nodes.push({
coordinates: n.geometry.coordinates.reverse(),
name: name,
});
}
}
return this.nubNodes();
};
// add nodes from csv
this.addNodesGeoCSV = function(csv) {
var csvRows = csv.split(/\r?\n/);
for (var j = 0; j < csvRows.length - 1; j++) {
var fields = csvRows[j].replace(/ /g, ',').replace(/\t/g, ',').split(',');
var lat = parseFloat(fields[0]);
var lon = parseFloat(fields[1]);
var name = fields[2] ? fields[2] : null;
if (!isNaN(lat) && !isNaN(lon)) {
nodes.push({
coordinates: [lat, lon],
name: name,
});
}
}
return this.nubNodes();
};
/****** GENERATION OF EDGES: SCALE-INVARIANT SPATIAL GRAPH (SISG) MODEL ******/
// compute edges according to the SISG model
var edgesSISGModel = function(nodes, k, dist) {
var edges = [];
for (var i in nodes) {
distMin = Infinity;
for (var j in nodes) {
if (i != j) distMin = Math.min(distMin, dist(nodes[i], nodes[j]));
}
if (distMin != Infinity) {
for (var j in nodes) {
if (i != j && dist(nodes[i], nodes[j]) <= k * distMin)
edges.push({from: nodes[i], to: nodes[j]});
}
}
}
return edges;
};
// add edges according to the SISG model
// requires the graph to have nodes with coordinates
this.addEdgesSISGModel = function(k) {
edges = edges.concat(edgesSISGModel(nodes, k, function(x, y) {
return distanceOnEarth(x.coordinates, y.coordinates);
})).map(function(x) {
x.from = x.from.coordinates;
x.to = x.to.coordinates;
return x;
});
return this.nubEdges();
};
/****** GENERATION OF EDGES: GILBERT MODEL ******/
// add random edges according to the Gilbert model
this.addEdgesGilbert = function(probability) {
for (i in nodes) {
for (var j = 0; j < i; j++) {
if (Math.random() <= probability) {
edges.push({from: nodes[i].coordinates, to: nodes[j].coordinates});
}
}
}
return this.nubEdges();
};
/****** EXPORT ******/
var prepareCsv = function(csv) {
var csvRows = [];
for (var j in csv) {
csvRows.push(csv[j].join(', '));
}
return csvRows;
};
// export as csv
this.csv = function() {
var csvRows = [['from', 'to']];
var nodesLocation = nodes.map(function(x) {
return x.coordinates;
});
for (var j in edges) {
var fromIndex = nodesLocation.indexOf(edges[j].from);
var toIndex = nodesLocation.indexOf(edges[j].to);
csvRows.push([fromIndex, toIndex]);
}
return prepareCsv(csvRows).join('\n');
};
// export as tgf
this.tgf = function() {
var tgfRows = [];
var nodesLocation = nodes.map(function(x) {
return x.coordinates;
});
for (var j in nodes) {
var n = nodes[j];
var name = n.name ? n.name + ' - ' : '';
tgfRows.push(j + ' ' + name + n.coordinates);
}
tgfRows.push('#');
for (var j in edges) {
var fromIndex = nodesLocation.indexOf(edges[j].from);
var toIndex = nodesLocation.indexOf(edges[j].to);
tgfRows.push(fromIndex + ' ' + toIndex);
}
return tgfRows.join('\n');
};
/****** HELPING FUNCTIONS ******/
var maxArray = function(array) {
return Math.max.apply(null, array);
};
var minArray = function(array) {
return Math.min.apply(null, array);
};
/****** HELPING FUNCTIONS GEO ******/
var radiusEarth = 6371.009;
var degreeToRad = function(d) { return d * Math.PI / 180; };
var radToDegree = function(r) { return r * 180 / Math.PI; };
var sign = function(x) { return typeof(x) === 'number' ? x ? x < 0 ? -1 : 1 : x === x ? 0 : NaN : NaN; };
var diffAngle = function(r2, r1) {
if (Math.abs(r2 - r1) <= Math.PI / 2) {
return r2 - r1;
} else {
return diffAngle(r2, r1 + sign(r2 - r1) * Math.PI);
}
};
var distanceOnEarth = function(x, y) {
var lat1 = degreeToRad(x[0]);
var lat2 = degreeToRad(y[0]);
var lon1 = degreeToRad(x[1]);
var lon2 = degreeToRad(y[1]);
return radiusEarth * Math.sqrt(Math.pow(diffAngle(lat2, lat1), 2) + Math.pow(Math.cos((lat2 + lat1) / 2) * diffAngle(lon2, lon1), 2));
};
};