Attempt to add tree view
diff --git a/public/js/lib/d3/dagre-d3.js b/public/js/lib/d3/dagre-d3.js
new file mode 100644
index 0000000..87e58f9
--- /dev/null
+++ b/public/js/lib/d3/dagre-d3.js
@@ -0,0 +1,4615 @@
+;(function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);throw new Error("Cannot find module '"+o+"'")}var f=n[o]={exports:{}};t[o][0].call(f.exports,function(e){var n=t[o][1][e];return s(n?n:e)},f,f.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
+var global=self;/**
+ * @license
+ * Copyright (c) 2012-2013 Chris Pettitt
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+global.dagreD3 = require('./index');
+
+},{"./index":2}],2:[function(require,module,exports){
+/**
+ * @license
+ * Copyright (c) 2012-2013 Chris Pettitt
+ *
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ *
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+module.exports = {
+ Digraph: require('graphlib').Digraph,
+ Renderer: require('./lib/Renderer'),
+ json: require('graphlib').converter.json,
+ layout: require('dagre').layout,
+ version: require('./lib/version'),
+ debug: require('dagre').debug
+};
+
+},{"./lib/Renderer":3,"./lib/version":4,"dagre":11,"graphlib":28}],3:[function(require,module,exports){
+var layout = require('dagre').layout;
+
+var d3;
+try { d3 = require('d3'); } catch (_) { d3 = window.d3; }
+
+module.exports = Renderer;
+
+function Renderer() {
+ // Set up defaults...
+ this._layout = layout();
+
+ this.drawNodes(defaultDrawNodes);
+ this.drawEdgeLabels(defaultDrawEdgeLabels);
+ this.drawEdgePaths(defaultDrawEdgePaths);
+ this.positionNodes(defaultPositionNodes);
+ this.positionEdgeLabels(defaultPositionEdgeLabels);
+ this.positionEdgePaths(defaultPositionEdgePaths);
+ this.zoomSetup(defaultZoomSetup);
+ this.zoom(defaultZoom);
+ this.transition(defaultTransition);
+ this.postLayout(defaultPostLayout);
+ this.postRender(defaultPostRender);
+
+ this.edgeInterpolate('bundle');
+ this.edgeTension(0.95);
+}
+
+Renderer.prototype.layout = function(layout) {
+ if (!arguments.length) { return this._layout; }
+ this._layout = layout;
+ return this;
+};
+
+Renderer.prototype.drawNodes = function(drawNodes) {
+ if (!arguments.length) { return this._drawNodes; }
+ this._drawNodes = bind(drawNodes, this);
+ return this;
+};
+
+Renderer.prototype.drawEdgeLabels = function(drawEdgeLabels) {
+ if (!arguments.length) { return this._drawEdgeLabels; }
+ this._drawEdgeLabels = bind(drawEdgeLabels, this);
+ return this;
+};
+
+Renderer.prototype.drawEdgePaths = function(drawEdgePaths) {
+ if (!arguments.length) { return this._drawEdgePaths; }
+ this._drawEdgePaths = bind(drawEdgePaths, this);
+ return this;
+};
+
+Renderer.prototype.positionNodes = function(positionNodes) {
+ if (!arguments.length) { return this._positionNodes; }
+ this._positionNodes = bind(positionNodes, this);
+ return this;
+};
+
+Renderer.prototype.positionEdgeLabels = function(positionEdgeLabels) {
+ if (!arguments.length) { return this._positionEdgeLabels; }
+ this._positionEdgeLabels = bind(positionEdgeLabels, this);
+ return this;
+};
+
+Renderer.prototype.positionEdgePaths = function(positionEdgePaths) {
+ if (!arguments.length) { return this._positionEdgePaths; }
+ this._positionEdgePaths = bind(positionEdgePaths, this);
+ return this;
+};
+
+Renderer.prototype.transition = function(transition) {
+ if (!arguments.length) { return this._transition; }
+ this._transition = bind(transition, this);
+ return this;
+};
+
+Renderer.prototype.zoomSetup = function(zoomSetup) {
+ if (!arguments.length) { return this._zoomSetup; }
+ this._zoomSetup = bind(zoomSetup, this);
+ return this;
+};
+
+Renderer.prototype.zoom = function(zoom) {
+ if (!arguments.length) { return this._zoom; }
+ if (zoom) {
+ this._zoom = bind(zoom, this);
+ } else {
+ delete this._zoom;
+ }
+ return this;
+};
+
+Renderer.prototype.postLayout = function(postLayout) {
+ if (!arguments.length) { return this._postLayout; }
+ this._postLayout = bind(postLayout, this);
+ return this;
+};
+
+Renderer.prototype.postRender = function(postRender) {
+ if (!arguments.length) { return this._postRender; }
+ this._postRender = bind(postRender, this);
+ return this;
+};
+
+Renderer.prototype.edgeInterpolate = function(edgeInterpolate) {
+ if (!arguments.length) { return this._edgeInterpolate; }
+ this._edgeInterpolate = edgeInterpolate;
+ return this;
+};
+
+Renderer.prototype.edgeTension = function(edgeTension) {
+ if (!arguments.length) { return this._edgeTension; }
+ this._edgeTension = edgeTension;
+ return this;
+};
+
+Renderer.prototype.run = function(graph, svg) {
+ // First copy the input graph so that it is not changed by the rendering
+ // process.
+ graph = copyAndInitGraph(graph);
+
+ // Create zoom elements
+ svg = this._zoomSetup(graph, svg);
+
+ // Create layers
+ svg
+ .selectAll('g.edgePaths, g.edgeLabels, g.nodes')
+ .data(['edgePaths', 'edgeLabels', 'nodes'])
+ .enter()
+ .append('g')
+ .attr('class', function(d) { return d; });
+
+ // Create node and edge roots, attach labels, and capture dimension
+ // information for use with layout.
+ var svgNodes = this._drawNodes(graph, svg.select('g.nodes'));
+ var svgEdgeLabels = this._drawEdgeLabels(graph, svg.select('g.edgeLabels'));
+
+ svgNodes.each(function(u) { calculateDimensions(this, graph.node(u)); });
+ svgEdgeLabels.each(function(e) { calculateDimensions(this, graph.edge(e)); });
+
+ // Now apply the layout function
+ var result = runLayout(graph, this._layout);
+
+ // Run any user-specified post layout processing
+ this._postLayout(result, svg);
+
+ var svgEdgePaths = this._drawEdgePaths(graph, svg.select('g.edgePaths'));
+
+ // Apply the layout information to the graph
+ this._positionNodes(result, svgNodes);
+ this._positionEdgeLabels(result, svgEdgeLabels);
+ this._positionEdgePaths(result, svgEdgePaths);
+
+ this._postRender(result, svg);
+
+ return result;
+};
+
+function copyAndInitGraph(graph) {
+ var copy = graph.copy();
+
+ // Init labels if they were not present in the source graph
+ copy.nodes().forEach(function(u) {
+ var value = copy.node(u);
+ if (value === undefined) {
+ value = {};
+ copy.node(u, value);
+ }
+ if (!('label' in value)) { value.label = ''; }
+ });
+
+ copy.edges().forEach(function(e) {
+ var value = copy.edge(e);
+ if (value === undefined) {
+ value = {};
+ copy.edge(e, value);
+ }
+ if (!('label' in value)) { value.label = ''; }
+ });
+
+ return copy;
+}
+
+function calculateDimensions(group, value) {
+ var bbox = group.getBBox();
+ value.width = bbox.width;
+ value.height = bbox.height;
+}
+
+function runLayout(graph, layout) {
+ var result = layout.run(graph);
+
+ // Copy labels to the result graph
+ graph.eachNode(function(u, value) { result.node(u).label = value.label; });
+ graph.eachEdge(function(e, u, v, value) { result.edge(e).label = value.label; });
+
+ return result;
+}
+
+function defaultDrawNodes(g, root) {
+ var nodes = g.nodes().filter(function(u) { return !isComposite(g, u); });
+
+ var svgNodes = root
+ .selectAll('g.node')
+ .classed('enter', false)
+ .data(nodes, function(u) { return u; });
+
+ svgNodes.selectAll('*').remove();
+
+ svgNodes
+ .enter()
+ .append('g')
+ .style('opacity', 0)
+ .attr('class', 'node enter');
+
+ svgNodes.each(function(u) { addLabel(g.node(u), d3.select(this), 10, 10); });
+
+ this._transition(svgNodes.exit())
+ .style('opacity', 0)
+ .remove();
+
+ return svgNodes;
+}
+
+function defaultDrawEdgeLabels(g, root) {
+ var svgEdgeLabels = root
+ .selectAll('g.edgeLabel')
+ .classed('enter', false)
+ .data(g.edges(), function (e) { return e; });
+
+ svgEdgeLabels.selectAll('*').remove();
+
+ svgEdgeLabels
+ .enter()
+ .append('g')
+ .style('opacity', 0)
+ .attr('class', 'edgeLabel enter');
+
+ svgEdgeLabels.each(function(e) { addLabel(g.edge(e), d3.select(this), 0, 0); });
+
+ this._transition(svgEdgeLabels.exit())
+ .style('opacity', 0)
+ .remove();
+
+ return svgEdgeLabels;
+}
+
+var defaultDrawEdgePaths = function(g, root) {
+ var svgEdgePaths = root
+ .selectAll('g.edgePath')
+ .classed('enter', false)
+ .data(g.edges(), function(e) { return e; });
+
+ svgEdgePaths
+ .enter()
+ .append('g')
+ .attr('class', 'edgePath enter')
+ .append('path')
+ .style('opacity', 0)
+ .attr('marker-end', 'url(#arrowhead)');
+
+ this._transition(svgEdgePaths.exit())
+ .style('opacity', 0)
+ .remove();
+
+ return svgEdgePaths;
+};
+
+function defaultPositionNodes(g, svgNodes) {
+ function transform(u) {
+ var value = g.node(u);
+ return 'translate(' + value.x + ',' + value.y + ')';
+ }
+
+ // For entering nodes, position immediately without transition
+ svgNodes.filter('.enter').attr('transform', transform);
+
+ this._transition(svgNodes)
+ .style('opacity', 1)
+ .attr('transform', transform);
+}
+
+function defaultPositionEdgeLabels(g, svgEdgeLabels) {
+ function transform(e) {
+ var value = g.edge(e);
+ var point = findMidPoint(value.points);
+ return 'translate(' + point.x + ',' + point.y + ')';
+ }
+
+ // For entering edge labels, position immediately without transition
+ svgEdgeLabels.filter('.enter').attr('transform', transform);
+
+ this._transition(svgEdgeLabels)
+ .style('opacity', 1)
+ .attr('transform', transform);
+}
+
+function defaultPositionEdgePaths(g, svgEdgePaths) {
+ var interpolate = this._edgeInterpolate,
+ tension = this._edgeTension;
+
+ function calcPoints(e) {
+ var value = g.edge(e);
+ var source = g.node(g.incidentNodes(e)[0]);
+ var target = g.node(g.incidentNodes(e)[1]);
+ var points = value.points.slice();
+
+ var p0 = points.length === 0 ? target : points[0];
+ var p1 = points.length === 0 ? source : points[points.length - 1];
+
+ points.unshift(intersectRect(source, p0));
+ // TODO: use bpodgursky's shortening algorithm here
+ points.push(intersectRect(target, p1));
+
+ return d3.svg.line()
+ .x(function(d) { return d.x; })
+ .y(function(d) { return d.y; })
+ .interpolate(interpolate)
+ .tension(tension)
+ (points);
+ }
+
+ svgEdgePaths.filter('.enter').selectAll('path')
+ .attr('d', calcPoints);
+
+ this._transition(svgEdgePaths.selectAll('path'))
+ .attr('d', calcPoints)
+ .style('opacity', 1);
+}
+
+// By default we do not use transitions
+function defaultTransition(selection) {
+ return selection;
+}
+
+// Setup dom for zooming
+function defaultZoomSetup(graph, svg) {
+ var root = svg.property('ownerSVGElement');
+ // If the svg node is the root, we get null, so set to svg.
+ if (!root) { root = svg; }
+ root = d3.select(root);
+
+ if (root.select('rect.overlay').empty()) {
+ // Create an overlay for capturing mouse events that don't touch foreground
+ root.append('rect')
+ .attr('class', 'overlay')
+ .attr('width', '100%')
+ .attr('height', '100%')
+ .style('fill', 'none');
+
+ // Capture the zoom behaviour from the svg
+ svg = svg.append('g')
+ .attr('class', 'zoom');
+
+ if (this._zoom) {
+ root.call(this._zoom(graph, svg));
+ }
+ }
+
+ return svg;
+}
+
+// By default allow pan and zoom
+function defaultZoom(graph, svg) {
+ return d3.behavior.zoom().on('zoom', function() {
+ svg.attr('transform', 'translate(' + d3.event.translate + ')scale(' + d3.event.scale + ')');
+ });
+}
+
+function defaultPostLayout() {
+ // Do nothing
+}
+
+function defaultPostRender(graph, root) {
+ if (graph.isDirected() && root.select('#arrowhead').empty()) {
+ root
+ .append('svg:defs')
+ .append('svg:marker')
+ .attr('id', 'arrowhead')
+ .attr('viewBox', '0 0 10 10')
+ .attr('refX', 8)
+ .attr('refY', 5)
+ .attr('markerUnits', 'strokeWidth')
+ .attr('markerWidth', 8)
+ .attr('markerHeight', 5)
+ .attr('orient', 'auto')
+ .attr('style', 'fill: #333')
+ .append('svg:path')
+ .attr('d', 'M 0 0 L 10 5 L 0 10 z');
+ }
+}
+
+function addLabel(node, root, marginX, marginY) {
+ // Add the rect first so that it appears behind the label
+ var label = node.label;
+ var rect = root.append('rect');
+ var labelSvg = root.append('g');
+
+ if (label[0] === '<') {
+ addForeignObjectLabel(label, labelSvg);
+ // No margin for HTML elements
+ marginX = marginY = 0;
+ } else {
+ addTextLabel(label,
+ labelSvg,
+ Math.floor(node.labelCols),
+ node.labelCut);
+ }
+
+ var bbox = root.node().getBBox();
+
+ labelSvg.attr('transform',
+ 'translate(' + (-bbox.width / 2) + ',' + (-bbox.height / 2) + ')');
+
+ rect
+ .attr('rx', 5)
+ .attr('ry', 5)
+ .attr('x', -(bbox.width / 2 + marginX))
+ .attr('y', -(bbox.height / 2 + marginY))
+ .attr('width', bbox.width + 2 * marginX)
+ .attr('height', bbox.height + 2 * marginY);
+}
+
+function addForeignObjectLabel(label, root) {
+ var fo = root
+ .append('foreignObject')
+ .attr('width', '100000');
+
+ var w, h;
+ fo
+ .append('xhtml:div')
+ .style('float', 'left')
+ // TODO find a better way to get dimensions for foreignObjects...
+ .html(function() { return label; })
+ .each(function() {
+ w = this.clientWidth;
+ h = this.clientHeight;
+ });
+
+ fo
+ .attr('width', w)
+ .attr('height', h);
+}
+
+function addTextLabel(label, root, labelCols, labelCut) {
+ if (labelCut === undefined) labelCut = 'false';
+ labelCut = (labelCut.toString().toLowerCase() === 'true');
+
+ var node = root
+ .append('text')
+ .attr('text-anchor', 'left');
+
+ label = label.replace(/\\n/g, '\n');
+
+ var arr = labelCols ? wordwrap(label, labelCols, labelCut) : label;
+ arr = arr.split('\n');
+ for (var i = 0; i < arr.length; i++) {
+ node
+ .append('tspan')
+ .attr('dy', '1em')
+ .attr('x', '1')
+ .text(arr[i]);
+ }
+}
+
+// Thanks to
+// http://james.padolsey.com/javascript/wordwrap-for-javascript/
+function wordwrap (str, width, cut, brk) {
+ brk = brk || '\n';
+ width = width || 75;
+ cut = cut || false;
+
+ if (!str) { return str; }
+
+ var regex = '.{1,' +width+ '}(\\s|$)' + (cut ? '|.{' +width+ '}|.+$' : '|\\S+?(\\s|$)');
+
+ return str.match( new RegExp(regex, 'g') ).join( brk );
+}
+
+function findMidPoint(points) {
+ var midIdx = points.length / 2;
+ if (points.length % 2) {
+ return points[Math.floor(midIdx)];
+ } else {
+ var p0 = points[midIdx - 1];
+ var p1 = points[midIdx];
+ return {x: (p0.x + p1.x) / 2, y: (p0.y + p1.y) / 2};
+ }
+}
+
+function intersectRect(rect, point) {
+ var x = rect.x;
+ var y = rect.y;
+
+ // For now we only support rectangles
+
+ // Rectangle intersection algorithm from:
+ // http://math.stackexchange.com/questions/108113/find-edge-between-two-boxes
+ var dx = point.x - x;
+ var dy = point.y - y;
+ var w = rect.width / 2;
+ var h = rect.height / 2;
+
+ var sx, sy;
+ if (Math.abs(dy) * w > Math.abs(dx) * h) {
+ // Intersection is top or bottom of rect.
+ if (dy < 0) {
+ h = -h;
+ }
+ sx = dy === 0 ? 0 : h * dx / dy;
+ sy = h;
+ } else {
+ // Intersection is left or right of rect.
+ if (dx < 0) {
+ w = -w;
+ }
+ sx = w;
+ sy = dx === 0 ? 0 : w * dy / dx;
+ }
+
+ return {x: x + sx, y: y + sy};
+}
+
+function isComposite(g, u) {
+ return 'children' in g && g.children(u).length;
+}
+
+function bind(func, thisArg) {
+ // For some reason PhantomJS occassionally fails when using the builtin bind,
+ // so we check if it is available and if not, use a degenerate polyfill.
+ if (func.bind) {
+ return func.bind(thisArg);
+ }
+
+ return function() {
+ return func.apply(thisArg, arguments);
+ };
+}
+
+},{"d3":10,"dagre":11}],4:[function(require,module,exports){
+module.exports = '0.2.0';
+
+},{}],5:[function(require,module,exports){
+exports.Set = require('./lib/Set');
+exports.PriorityQueue = require('./lib/PriorityQueue');
+exports.version = require('./lib/version');
+
+},{"./lib/PriorityQueue":6,"./lib/Set":7,"./lib/version":9}],6:[function(require,module,exports){
+module.exports = PriorityQueue;
+
+/**
+ * A min-priority queue data structure. This algorithm is derived from Cormen,
+ * et al., "Introduction to Algorithms". The basic idea of a min-priority
+ * queue is that you can efficiently (in O(1) time) get the smallest key in
+ * the queue. Adding and removing elements takes O(log n) time. A key can
+ * have its priority decreased in O(log n) time.
+ */
+function PriorityQueue() {
+ this._arr = [];
+ this._keyIndices = {};
+}
+
+/**
+ * Returns the number of elements in the queue. Takes `O(1)` time.
+ */
+PriorityQueue.prototype.size = function() {
+ return this._arr.length;
+};
+
+/**
+ * Returns the keys that are in the queue. Takes `O(n)` time.
+ */
+PriorityQueue.prototype.keys = function() {
+ return this._arr.map(function(x) { return x.key; });
+};
+
+/**
+ * Returns `true` if **key** is in the queue and `false` if not.
+ */
+PriorityQueue.prototype.has = function(key) {
+ return key in this._keyIndices;
+};
+
+/**
+ * Returns the priority for **key**. If **key** is not present in the queue
+ * then this function returns `undefined`. Takes `O(1)` time.
+ *
+ * @param {Object} key
+ */
+PriorityQueue.prototype.priority = function(key) {
+ var index = this._keyIndices[key];
+ if (index !== undefined) {
+ return this._arr[index].priority;
+ }
+};
+
+/**
+ * Returns the key for the minimum element in this queue. If the queue is
+ * empty this function throws an Error. Takes `O(1)` time.
+ */
+PriorityQueue.prototype.min = function() {
+ if (this.size() === 0) {
+ throw new Error("Queue underflow");
+ }
+ return this._arr[0].key;
+};
+
+/**
+ * Inserts a new key into the priority queue. If the key already exists in
+ * the queue this function returns `false`; otherwise it will return `true`.
+ * Takes `O(n)` time.
+ *
+ * @param {Object} key the key to add
+ * @param {Number} priority the initial priority for the key
+ */
+PriorityQueue.prototype.add = function(key, priority) {
+ var keyIndices = this._keyIndices;
+ if (!(key in keyIndices)) {
+ var arr = this._arr;
+ var index = arr.length;
+ keyIndices[key] = index;
+ arr.push({key: key, priority: priority});
+ this._decrease(index);
+ return true;
+ }
+ return false;
+};
+
+/**
+ * Removes and returns the smallest key in the queue. Takes `O(log n)` time.
+ */
+PriorityQueue.prototype.removeMin = function() {
+ this._swap(0, this._arr.length - 1);
+ var min = this._arr.pop();
+ delete this._keyIndices[min.key];
+ this._heapify(0);
+ return min.key;
+};
+
+/**
+ * Decreases the priority for **key** to **priority**. If the new priority is
+ * greater than the previous priority, this function will throw an Error.
+ *
+ * @param {Object} key the key for which to raise priority
+ * @param {Number} priority the new priority for the key
+ */
+PriorityQueue.prototype.decrease = function(key, priority) {
+ var index = this._keyIndices[key];
+ if (priority > this._arr[index].priority) {
+ throw new Error("New priority is greater than current priority. " +
+ "Key: " + key + " Old: " + this._arr[index].priority + " New: " + priority);
+ }
+ this._arr[index].priority = priority;
+ this._decrease(index);
+};
+
+PriorityQueue.prototype._heapify = function(i) {
+ var arr = this._arr;
+ var l = 2 * i,
+ r = l + 1,
+ largest = i;
+ if (l < arr.length) {
+ largest = arr[l].priority < arr[largest].priority ? l : largest;
+ if (r < arr.length) {
+ largest = arr[r].priority < arr[largest].priority ? r : largest;
+ }
+ if (largest !== i) {
+ this._swap(i, largest);
+ this._heapify(largest);
+ }
+ }
+};
+
+PriorityQueue.prototype._decrease = function(index) {
+ var arr = this._arr;
+ var priority = arr[index].priority;
+ var parent;
+ while (index !== 0) {
+ parent = index >> 1;
+ if (arr[parent].priority < priority) {
+ break;
+ }
+ this._swap(index, parent);
+ index = parent;
+ }
+};
+
+PriorityQueue.prototype._swap = function(i, j) {
+ var arr = this._arr;
+ var keyIndices = this._keyIndices;
+ var origArrI = arr[i];
+ var origArrJ = arr[j];
+ arr[i] = origArrJ;
+ arr[j] = origArrI;
+ keyIndices[origArrJ.key] = i;
+ keyIndices[origArrI.key] = j;
+};
+
+},{}],7:[function(require,module,exports){
+var util = require('./util');
+
+module.exports = Set;
+
+/**
+ * Constructs a new Set with an optional set of `initialKeys`.
+ *
+ * It is important to note that keys are coerced to String for most purposes
+ * with this object, similar to the behavior of JavaScript's Object. For
+ * example, the following will add only one key:
+ *
+ * var s = new Set();
+ * s.add(1);
+ * s.add("1");
+ *
+ * However, the type of the key is preserved internally so that `keys` returns
+ * the original key set uncoerced. For the above example, `keys` would return
+ * `[1]`.
+ */
+function Set(initialKeys) {
+ this._size = 0;
+ this._keys = {};
+
+ if (initialKeys) {
+ for (var i = 0, il = initialKeys.length; i < il; ++i) {
+ this.add(initialKeys[i]);
+ }
+ }
+}
+
+/**
+ * Returns a new Set that represents the set intersection of the array of given
+ * sets.
+ */
+Set.intersect = function(sets) {
+ if (sets.length === 0) {
+ return new Set();
+ }
+
+ var result = new Set(!util.isArray(sets[0]) ? sets[0].keys() : sets[0]);
+ for (var i = 1, il = sets.length; i < il; ++i) {
+ var resultKeys = result.keys(),
+ other = !util.isArray(sets[i]) ? sets[i] : new Set(sets[i]);
+ for (var j = 0, jl = resultKeys.length; j < jl; ++j) {
+ var key = resultKeys[j];
+ if (!other.has(key)) {
+ result.remove(key);
+ }
+ }
+ }
+
+ return result;
+};
+
+/**
+ * Returns a new Set that represents the set union of the array of given sets.
+ */
+Set.union = function(sets) {
+ var totalElems = util.reduce(sets, function(lhs, rhs) {
+ return lhs + (rhs.size ? rhs.size() : rhs.length);
+ }, 0);
+ var arr = new Array(totalElems);
+
+ var k = 0;
+ for (var i = 0, il = sets.length; i < il; ++i) {
+ var cur = sets[i],
+ keys = !util.isArray(cur) ? cur.keys() : cur;
+ for (var j = 0, jl = keys.length; j < jl; ++j) {
+ arr[k++] = keys[j];
+ }
+ }
+
+ return new Set(arr);
+};
+
+/**
+ * Returns the size of this set in `O(1)` time.
+ */
+Set.prototype.size = function() {
+ return this._size;
+};
+
+/**
+ * Returns the keys in this set. Takes `O(n)` time.
+ */
+Set.prototype.keys = function() {
+ return values(this._keys);
+};
+
+/**
+ * Tests if a key is present in this Set. Returns `true` if it is and `false`
+ * if not. Takes `O(1)` time.
+ */
+Set.prototype.has = function(key) {
+ return key in this._keys;
+};
+
+/**
+ * Adds a new key to this Set if it is not already present. Returns `true` if
+ * the key was added and `false` if it was already present. Takes `O(1)` time.
+ */
+Set.prototype.add = function(key) {
+ if (!(key in this._keys)) {
+ this._keys[key] = key;
+ ++this._size;
+ return true;
+ }
+ return false;
+};
+
+/**
+ * Removes a key from this Set. If the key was removed this function returns
+ * `true`. If not, it returns `false`. Takes `O(1)` time.
+ */
+Set.prototype.remove = function(key) {
+ if (key in this._keys) {
+ delete this._keys[key];
+ --this._size;
+ return true;
+ }
+ return false;
+};
+
+/*
+ * Returns an array of all values for properties of **o**.
+ */
+function values(o) {
+ var ks = Object.keys(o),
+ len = ks.length,
+ result = new Array(len),
+ i;
+ for (i = 0; i < len; ++i) {
+ result[i] = o[ks[i]];
+ }
+ return result;
+}
+
+},{"./util":8}],8:[function(require,module,exports){
+/*
+ * This polyfill comes from
+ * https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/isArray
+ */
+if(!Array.isArray) {
+ exports.isArray = function (vArg) {
+ return Object.prototype.toString.call(vArg) === '[object Array]';
+ };
+} else {
+ exports.isArray = Array.isArray;
+}
+
+/*
+ * Slightly adapted polyfill from
+ * https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/Reduce
+ */
+if ('function' !== typeof Array.prototype.reduce) {
+ exports.reduce = function(array, callback, opt_initialValue) {
+ 'use strict';
+ if (null === array || 'undefined' === typeof array) {
+ // At the moment all modern browsers, that support strict mode, have
+ // native implementation of Array.prototype.reduce. For instance, IE8
+ // does not support strict mode, so this check is actually useless.
+ throw new TypeError(
+ 'Array.prototype.reduce called on null or undefined');
+ }
+ if ('function' !== typeof callback) {
+ throw new TypeError(callback + ' is not a function');
+ }
+ var index, value,
+ length = array.length >>> 0,
+ isValueSet = false;
+ if (1 < arguments.length) {
+ value = opt_initialValue;
+ isValueSet = true;
+ }
+ for (index = 0; length > index; ++index) {
+ if (array.hasOwnProperty(index)) {
+ if (isValueSet) {
+ value = callback(value, array[index], index, array);
+ }
+ else {
+ value = array[index];
+ isValueSet = true;
+ }
+ }
+ }
+ if (!isValueSet) {
+ throw new TypeError('Reduce of empty array with no initial value');
+ }
+ return value;
+ };
+} else {
+ exports.reduce = function(array, callback, opt_initialValue) {
+ return array.reduce(callback, opt_initialValue);
+ };
+}
+
+},{}],9:[function(require,module,exports){
+module.exports = '1.1.3';
+
+},{}],10:[function(require,module,exports){
+require("./d3");
+module.exports = d3;
+(function () { delete this.d3; })(); // unset global
+
+},{}],11:[function(require,module,exports){
+/*
+Copyright (c) 2012-2013 Chris Pettitt
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+THE SOFTWARE.
+*/
+exports.Digraph = require("graphlib").Digraph;
+exports.Graph = require("graphlib").Graph;
+exports.layout = require("./lib/layout");
+exports.version = require("./lib/version");
+
+},{"./lib/layout":12,"./lib/version":27,"graphlib":28}],12:[function(require,module,exports){
+var util = require('./util'),
+ rank = require('./rank'),
+ order = require('./order'),
+ CGraph = require('graphlib').CGraph,
+ CDigraph = require('graphlib').CDigraph;
+
+module.exports = function() {
+ // External configuration
+ var config = {
+ // How much debug information to include?
+ debugLevel: 0,
+ // Max number of sweeps to perform in order phase
+ orderMaxSweeps: order.DEFAULT_MAX_SWEEPS,
+ // Use network simplex algorithm in ranking
+ rankSimplex: false,
+ // Rank direction. Valid values are (TB, LR)
+ rankDir: 'TB'
+ };
+
+ // Phase functions
+ var position = require('./position')();
+
+ // This layout object
+ var self = {};
+
+ self.orderIters = util.propertyAccessor(self, config, 'orderMaxSweeps');
+
+ self.rankSimplex = util.propertyAccessor(self, config, 'rankSimplex');
+
+ self.nodeSep = delegateProperty(position.nodeSep);
+ self.edgeSep = delegateProperty(position.edgeSep);
+ self.universalSep = delegateProperty(position.universalSep);
+ self.rankSep = delegateProperty(position.rankSep);
+ self.rankDir = util.propertyAccessor(self, config, 'rankDir');
+ self.debugAlignment = delegateProperty(position.debugAlignment);
+
+ self.debugLevel = util.propertyAccessor(self, config, 'debugLevel', function(x) {
+ util.log.level = x;
+ position.debugLevel(x);
+ });
+
+ self.run = util.time('Total layout', run);
+
+ self._normalize = normalize;
+
+ return self;
+
+ /*
+ * Constructs an adjacency graph using the nodes and edges specified through
+ * config. For each node and edge we add a property `dagre` that contains an
+ * object that will hold intermediate and final layout information. Some of
+ * the contents include:
+ *
+ * 1) A generated ID that uniquely identifies the object.
+ * 2) Dimension information for nodes (copied from the source node).
+ * 3) Optional dimension information for edges.
+ *
+ * After the adjacency graph is constructed the code no longer needs to use
+ * the original nodes and edges passed in via config.
+ */
+ function initLayoutGraph(inputGraph) {
+ var g = new CDigraph();
+
+ inputGraph.eachNode(function(u, value) {
+ if (value === undefined) value = {};
+ g.addNode(u, {
+ width: value.width,
+ height: value.height
+ });
+ if (value.hasOwnProperty('rank')) {
+ g.node(u).prefRank = value.rank;
+ }
+ });
+
+ // Set up subgraphs
+ if (inputGraph.parent) {
+ inputGraph.nodes().forEach(function(u) {
+ g.parent(u, inputGraph.parent(u));
+ });
+ }
+
+ inputGraph.eachEdge(function(e, u, v, value) {
+ if (value === undefined) value = {};
+ var newValue = {
+ e: e,
+ minLen: value.minLen || 1,
+ width: value.width || 0,
+ height: value.height || 0,
+ points: []
+ };
+
+ g.addEdge(null, u, v, newValue);
+ });
+
+ // Initial graph attributes
+ var graphValue = inputGraph.graph() || {};
+ g.graph({
+ rankDir: graphValue.rankDir || config.rankDir,
+ orderRestarts: graphValue.orderRestarts
+ });
+
+ return g;
+ }
+
+ function run(inputGraph) {
+ var rankSep = self.rankSep();
+ var g;
+ try {
+ // Build internal graph
+ g = util.time('initLayoutGraph', initLayoutGraph)(inputGraph);
+
+ if (g.order() === 0) {
+ return g;
+ }
+
+ // Make space for edge labels
+ g.eachEdge(function(e, s, t, a) {
+ a.minLen *= 2;
+ });
+ self.rankSep(rankSep / 2);
+
+ // Determine the rank for each node. Nodes with a lower rank will appear
+ // above nodes of higher rank.
+ util.time('rank.run', rank.run)(g, config.rankSimplex);
+
+ // Normalize the graph by ensuring that every edge is proper (each edge has
+ // a length of 1). We achieve this by adding dummy nodes to long edges,
+ // thus shortening them.
+ util.time('normalize', normalize)(g);
+
+ // Order the nodes so that edge crossings are minimized.
+ util.time('order', order)(g, config.orderMaxSweeps);
+
+ // Find the x and y coordinates for every node in the graph.
+ util.time('position', position.run)(g);
+
+ // De-normalize the graph by removing dummy nodes and augmenting the
+ // original long edges with coordinate information.
+ util.time('undoNormalize', undoNormalize)(g);
+
+ // Reverses points for edges that are in a reversed state.
+ util.time('fixupEdgePoints', fixupEdgePoints)(g);
+
+ // Restore delete edges and reverse edges that were reversed in the rank
+ // phase.
+ util.time('rank.restoreEdges', rank.restoreEdges)(g);
+
+ // Construct final result graph and return it
+ return util.time('createFinalGraph', createFinalGraph)(g, inputGraph.isDirected());
+ } finally {
+ self.rankSep(rankSep);
+ }
+ }
+
+ /*
+ * This function is responsible for 'normalizing' the graph. The process of
+ * normalization ensures that no edge in the graph has spans more than one
+ * rank. To do this it inserts dummy nodes as needed and links them by adding
+ * dummy edges. This function keeps enough information in the dummy nodes and
+ * edges to ensure that the original graph can be reconstructed later.
+ *
+ * This method assumes that the input graph is cycle free.
+ */
+ function normalize(g) {
+ var dummyCount = 0;
+ g.eachEdge(function(e, s, t, a) {
+ var sourceRank = g.node(s).rank;
+ var targetRank = g.node(t).rank;
+ if (sourceRank + 1 < targetRank) {
+ for (var u = s, rank = sourceRank + 1, i = 0; rank < targetRank; ++rank, ++i) {
+ var v = '_D' + (++dummyCount);
+ var node = {
+ width: a.width,
+ height: a.height,
+ edge: { id: e, source: s, target: t, attrs: a },
+ rank: rank,
+ dummy: true
+ };
+
+ // If this node represents a bend then we will use it as a control
+ // point. For edges with 2 segments this will be the center dummy
+ // node. For edges with more than two segments, this will be the
+ // first and last dummy node.
+ if (i === 0) node.index = 0;
+ else if (rank + 1 === targetRank) node.index = 1;
+
+ g.addNode(v, node);
+ g.addEdge(null, u, v, {});
+ u = v;
+ }
+ g.addEdge(null, u, t, {});
+ g.delEdge(e);
+ }
+ });
+ }
+
+ /*
+ * Reconstructs the graph as it was before normalization. The positions of
+ * dummy nodes are used to build an array of points for the original 'long'
+ * edge. Dummy nodes and edges are removed.
+ */
+ function undoNormalize(g) {
+ g.eachNode(function(u, a) {
+ if (a.dummy) {
+ if ('index' in a) {
+ var edge = a.edge;
+ if (!g.hasEdge(edge.id)) {
+ g.addEdge(edge.id, edge.source, edge.target, edge.attrs);
+ }
+ var points = g.edge(edge.id).points;
+ points[a.index] = { x: a.x, y: a.y, ul: a.ul, ur: a.ur, dl: a.dl, dr: a.dr };
+ }
+ g.delNode(u);
+ }
+ });
+ }
+
+ /*
+ * For each edge that was reversed during the `acyclic` step, reverse its
+ * array of points.
+ */
+ function fixupEdgePoints(g) {
+ g.eachEdge(function(e, s, t, a) { if (a.reversed) a.points.reverse(); });
+ }
+
+ function createFinalGraph(g, isDirected) {
+ var out = isDirected ? new CDigraph() : new CGraph();
+ out.graph(g.graph());
+ g.eachNode(function(u, value) { out.addNode(u, value); });
+ g.eachNode(function(u) { out.parent(u, g.parent(u)); });
+ g.eachEdge(function(e, u, v, value) {
+ out.addEdge(value.e, u, v, value);
+ });
+
+ // Attach bounding box information
+ var maxX = 0, maxY = 0;
+ g.eachNode(function(u, value) {
+ if (!g.children(u).length) {
+ maxX = Math.max(maxX, value.x + value.width / 2);
+ maxY = Math.max(maxY, value.y + value.height / 2);
+ }
+ });
+ g.eachEdge(function(e, u, v, value) {
+ var maxXPoints = Math.max.apply(Math, value.points.map(function(p) { return p.x; }));
+ var maxYPoints = Math.max.apply(Math, value.points.map(function(p) { return p.y; }));
+ maxX = Math.max(maxX, maxXPoints + value.width / 2);
+ maxY = Math.max(maxY, maxYPoints + value.height / 2);
+ });
+ out.graph().width = maxX;
+ out.graph().height = maxY;
+
+ return out;
+ }
+
+ /*
+ * Given a function, a new function is returned that invokes the given
+ * function. The return value from the function is always the `self` object.
+ */
+ function delegateProperty(f) {
+ return function() {
+ if (!arguments.length) return f();
+ f.apply(null, arguments);
+ return self;
+ };
+ }
+};
+
+
+},{"./order":13,"./position":18,"./rank":19,"./util":26,"graphlib":28}],13:[function(require,module,exports){
+var util = require('./util'),
+ crossCount = require('./order/crossCount'),
+ initLayerGraphs = require('./order/initLayerGraphs'),
+ initOrder = require('./order/initOrder'),
+ sortLayer = require('./order/sortLayer');
+
+module.exports = order;
+
+// The maximum number of sweeps to perform before finishing the order phase.
+var DEFAULT_MAX_SWEEPS = 24;
+order.DEFAULT_MAX_SWEEPS = DEFAULT_MAX_SWEEPS;
+
+/*
+ * Runs the order phase with the specified `graph, `maxSweeps`, and
+ * `debugLevel`. If `maxSweeps` is not specified we use `DEFAULT_MAX_SWEEPS`.
+ * If `debugLevel` is not set we assume 0.
+ */
+function order(g, maxSweeps) {
+ if (arguments.length < 2) {
+ maxSweeps = DEFAULT_MAX_SWEEPS;
+ }
+
+ var restarts = g.graph().orderRestarts || 0;
+
+ var layerGraphs = initLayerGraphs(g);
+ // TODO: remove this when we add back support for ordering clusters
+ layerGraphs.forEach(function(lg) {
+ lg = lg.filterNodes(function(u) { return !g.children(u).length; });
+ });
+
+ var iters = 0,
+ currentBestCC,
+ allTimeBestCC = Number.MAX_VALUE,
+ allTimeBest = {};
+
+ function saveAllTimeBest() {
+ g.eachNode(function(u, value) { allTimeBest[u] = value.order; });
+ }
+
+ for (var j = 0; j < Number(restarts) + 1 && allTimeBestCC !== 0; ++j) {
+ currentBestCC = Number.MAX_VALUE;
+ initOrder(g, restarts > 0);
+
+ util.log(2, 'Order phase start cross count: ' + g.graph().orderInitCC);
+
+ var i, lastBest, cc;
+ for (i = 0, lastBest = 0; lastBest < 4 && i < maxSweeps && currentBestCC > 0; ++i, ++lastBest, ++iters) {
+ sweep(g, layerGraphs, i);
+ cc = crossCount(g);
+ if (cc < currentBestCC) {
+ lastBest = 0;
+ currentBestCC = cc;
+ if (cc < allTimeBestCC) {
+ saveAllTimeBest();
+ allTimeBestCC = cc;
+ }
+ }
+ util.log(3, 'Order phase start ' + j + ' iter ' + i + ' cross count: ' + cc);
+ }
+ }
+
+ Object.keys(allTimeBest).forEach(function(u) {
+ if (!g.children || !g.children(u).length) {
+ g.node(u).order = allTimeBest[u];
+ }
+ });
+ g.graph().orderCC = allTimeBestCC;
+
+ util.log(2, 'Order iterations: ' + iters);
+ util.log(2, 'Order phase best cross count: ' + g.graph().orderCC);
+}
+
+function predecessorWeights(g, nodes) {
+ var weights = {};
+ nodes.forEach(function(u) {
+ weights[u] = g.inEdges(u).map(function(e) {
+ return g.node(g.source(e)).order;
+ });
+ });
+ return weights;
+}
+
+function successorWeights(g, nodes) {
+ var weights = {};
+ nodes.forEach(function(u) {
+ weights[u] = g.outEdges(u).map(function(e) {
+ return g.node(g.target(e)).order;
+ });
+ });
+ return weights;
+}
+
+function sweep(g, layerGraphs, iter) {
+ if (iter % 2 === 0) {
+ sweepDown(g, layerGraphs, iter);
+ } else {
+ sweepUp(g, layerGraphs, iter);
+ }
+}
+
+function sweepDown(g, layerGraphs) {
+ var cg;
+ for (i = 1; i < layerGraphs.length; ++i) {
+ cg = sortLayer(layerGraphs[i], cg, predecessorWeights(g, layerGraphs[i].nodes()));
+ }
+}
+
+function sweepUp(g, layerGraphs) {
+ var cg;
+ for (i = layerGraphs.length - 2; i >= 0; --i) {
+ sortLayer(layerGraphs[i], cg, successorWeights(g, layerGraphs[i].nodes()));
+ }
+}
+
+},{"./order/crossCount":14,"./order/initLayerGraphs":15,"./order/initOrder":16,"./order/sortLayer":17,"./util":26}],14:[function(require,module,exports){
+var util = require('../util');
+
+module.exports = crossCount;
+
+/*
+ * Returns the cross count for the given graph.
+ */
+function crossCount(g) {
+ var cc = 0;
+ var ordering = util.ordering(g);
+ for (var i = 1; i < ordering.length; ++i) {
+ cc += twoLayerCrossCount(g, ordering[i-1], ordering[i]);
+ }
+ return cc;
+}
+
+/*
+ * This function searches through a ranked and ordered graph and counts the
+ * number of edges that cross. This algorithm is derived from:
+ *
+ * W. Barth et al., Bilayer Cross Counting, JGAA, 8(2) 179–194 (2004)
+ */
+function twoLayerCrossCount(g, layer1, layer2) {
+ var indices = [];
+ layer1.forEach(function(u) {
+ var nodeIndices = [];
+ g.outEdges(u).forEach(function(e) { nodeIndices.push(g.node(g.target(e)).order); });
+ nodeIndices.sort(function(x, y) { return x - y; });
+ indices = indices.concat(nodeIndices);
+ });
+
+ var firstIndex = 1;
+ while (firstIndex < layer2.length) firstIndex <<= 1;
+
+ var treeSize = 2 * firstIndex - 1;
+ firstIndex -= 1;
+
+ var tree = [];
+ for (var i = 0; i < treeSize; ++i) { tree[i] = 0; }
+
+ var cc = 0;
+ indices.forEach(function(i) {
+ var treeIndex = i + firstIndex;
+ ++tree[treeIndex];
+ while (treeIndex > 0) {
+ if (treeIndex % 2) {
+ cc += tree[treeIndex + 1];
+ }
+ treeIndex = (treeIndex - 1) >> 1;
+ ++tree[treeIndex];
+ }
+ });
+
+ return cc;
+}
+
+},{"../util":26}],15:[function(require,module,exports){
+var nodesFromList = require('graphlib').filter.nodesFromList,
+ /* jshint -W079 */
+ Set = require('cp-data').Set;
+
+module.exports = initLayerGraphs;
+
+/*
+ * This function takes a compound layered graph, g, and produces an array of
+ * layer graphs. Each entry in the array represents a subgraph of nodes
+ * relevant for performing crossing reduction on that layer.
+ */
+function initLayerGraphs(g) {
+ var ranks = [];
+
+ function dfs(u) {
+ if (u === null) {
+ g.children(u).forEach(function(v) { dfs(v); });
+ return;
+ }
+
+ var value = g.node(u);
+ value.minRank = ('rank' in value) ? value.rank : Number.MAX_VALUE;
+ value.maxRank = ('rank' in value) ? value.rank : Number.MIN_VALUE;
+ var uRanks = new Set();
+ g.children(u).forEach(function(v) {
+ var rs = dfs(v);
+ uRanks = Set.union([uRanks, rs]);
+ value.minRank = Math.min(value.minRank, g.node(v).minRank);
+ value.maxRank = Math.max(value.maxRank, g.node(v).maxRank);
+ });
+
+ if ('rank' in value) uRanks.add(value.rank);
+
+ uRanks.keys().forEach(function(r) {
+ if (!(r in ranks)) ranks[r] = [];
+ ranks[r].push(u);
+ });
+
+ return uRanks;
+ }
+ dfs(null);
+
+ var layerGraphs = [];
+ ranks.forEach(function(us, rank) {
+ layerGraphs[rank] = g.filterNodes(nodesFromList(us));
+ });
+
+ return layerGraphs;
+}
+
+},{"cp-data":5,"graphlib":28}],16:[function(require,module,exports){
+var crossCount = require('./crossCount'),
+ util = require('../util');
+
+module.exports = initOrder;
+
+/*
+ * Given a graph with a set of layered nodes (i.e. nodes that have a `rank`
+ * attribute) this function attaches an `order` attribute that uniquely
+ * arranges each node of each rank. If no constraint graph is provided the
+ * order of the nodes in each rank is entirely arbitrary.
+ */
+function initOrder(g, random) {
+ var layers = [];
+
+ g.eachNode(function(u, value) {
+ var layer = layers[value.rank];
+ if (g.children && g.children(u).length > 0) return;
+ if (!layer) {
+ layer = layers[value.rank] = [];
+ }
+ layer.push(u);
+ });
+
+ layers.forEach(function(layer) {
+ if (random) {
+ util.shuffle(layer);
+ }
+ layer.forEach(function(u, i) {
+ g.node(u).order = i;
+ });
+ });
+
+ var cc = crossCount(g);
+ g.graph().orderInitCC = cc;
+ g.graph().orderCC = Number.MAX_VALUE;
+}
+
+},{"../util":26,"./crossCount":14}],17:[function(require,module,exports){
+var util = require('../util');
+/*
+ Digraph = require('graphlib').Digraph,
+ topsort = require('graphlib').alg.topsort,
+ nodesFromList = require('graphlib').filter.nodesFromList;
+*/
+
+module.exports = sortLayer;
+
+/*
+function sortLayer(g, cg, weights) {
+ var result = sortLayerSubgraph(g, null, cg, weights);
+ result.list.forEach(function(u, i) {
+ g.node(u).order = i;
+ });
+ return result.constraintGraph;
+}
+*/
+
+function sortLayer(g, cg, weights) {
+ var ordering = [];
+ var bs = {};
+ g.eachNode(function(u, value) {
+ ordering[value.order] = u;
+ var ws = weights[u];
+ if (ws.length) {
+ bs[u] = util.sum(ws) / ws.length;
+ }
+ });
+
+ var toSort = g.nodes().filter(function(u) { return bs[u] !== undefined; });
+ toSort.sort(function(x, y) {
+ return bs[x] - bs[y] || g.node(x).order - g.node(y).order;
+ });
+
+ for (var i = 0, j = 0, jl = toSort.length; j < jl; ++i) {
+ if (bs[ordering[i]] !== undefined) {
+ g.node(toSort[j++]).order = i;
+ }
+ }
+}
+
+// TOOD: re-enable constrained sorting once we have a strategy for handling
+// undefined barycenters.
+/*
+function sortLayerSubgraph(g, sg, cg, weights) {
+ cg = cg ? cg.filterNodes(nodesFromList(g.children(sg))) : new Digraph();
+
+ var nodeData = {};
+ g.children(sg).forEach(function(u) {
+ if (g.children(u).length) {
+ nodeData[u] = sortLayerSubgraph(g, u, cg, weights);
+ nodeData[u].firstSG = u;
+ nodeData[u].lastSG = u;
+ } else {
+ var ws = weights[u];
+ nodeData[u] = {
+ degree: ws.length,
+ barycenter: ws.length > 0 ? util.sum(ws) / ws.length : 0,
+ list: [u]
+ };
+ }
+ });
+
+ resolveViolatedConstraints(g, cg, nodeData);
+
+ var keys = Object.keys(nodeData);
+ keys.sort(function(x, y) {
+ return nodeData[x].barycenter - nodeData[y].barycenter;
+ });
+
+ var result = keys.map(function(u) { return nodeData[u]; })
+ .reduce(function(lhs, rhs) { return mergeNodeData(g, lhs, rhs); });
+ return result;
+}
+
+/*
+function mergeNodeData(g, lhs, rhs) {
+ var cg = mergeDigraphs(lhs.constraintGraph, rhs.constraintGraph);
+
+ if (lhs.lastSG !== undefined && rhs.firstSG !== undefined) {
+ if (cg === undefined) {
+ cg = new Digraph();
+ }
+ if (!cg.hasNode(lhs.lastSG)) { cg.addNode(lhs.lastSG); }
+ cg.addNode(rhs.firstSG);
+ cg.addEdge(null, lhs.lastSG, rhs.firstSG);
+ }
+
+ return {
+ degree: lhs.degree + rhs.degree,
+ barycenter: (lhs.barycenter * lhs.degree + rhs.barycenter * rhs.degree) /
+ (lhs.degree + rhs.degree),
+ list: lhs.list.concat(rhs.list),
+ firstSG: lhs.firstSG !== undefined ? lhs.firstSG : rhs.firstSG,
+ lastSG: rhs.lastSG !== undefined ? rhs.lastSG : lhs.lastSG,
+ constraintGraph: cg
+ };
+}
+
+function mergeDigraphs(lhs, rhs) {
+ if (lhs === undefined) return rhs;
+ if (rhs === undefined) return lhs;
+
+ lhs = lhs.copy();
+ rhs.nodes().forEach(function(u) { lhs.addNode(u); });
+ rhs.edges().forEach(function(e, u, v) { lhs.addEdge(null, u, v); });
+ return lhs;
+}
+
+function resolveViolatedConstraints(g, cg, nodeData) {
+ // Removes nodes `u` and `v` from `cg` and makes any edges incident on them
+ // incident on `w` instead.
+ function collapseNodes(u, v, w) {
+ // TODO original paper removes self loops, but it is not obvious when this would happen
+ cg.inEdges(u).forEach(function(e) {
+ cg.delEdge(e);
+ cg.addEdge(null, cg.source(e), w);
+ });
+
+ cg.outEdges(v).forEach(function(e) {
+ cg.delEdge(e);
+ cg.addEdge(null, w, cg.target(e));
+ });
+
+ cg.delNode(u);
+ cg.delNode(v);
+ }
+
+ var violated;
+ while ((violated = findViolatedConstraint(cg, nodeData)) !== undefined) {
+ var source = cg.source(violated),
+ target = cg.target(violated);
+
+ var v;
+ while ((v = cg.addNode(null)) && g.hasNode(v)) {
+ cg.delNode(v);
+ }
+
+ // Collapse barycenter and list
+ nodeData[v] = mergeNodeData(g, nodeData[source], nodeData[target]);
+ delete nodeData[source];
+ delete nodeData[target];
+
+ collapseNodes(source, target, v);
+ if (cg.incidentEdges(v).length === 0) { cg.delNode(v); }
+ }
+}
+
+function findViolatedConstraint(cg, nodeData) {
+ var us = topsort(cg);
+ for (var i = 0; i < us.length; ++i) {
+ var u = us[i];
+ var inEdges = cg.inEdges(u);
+ for (var j = 0; j < inEdges.length; ++j) {
+ var e = inEdges[j];
+ if (nodeData[cg.source(e)].barycenter >= nodeData[u].barycenter) {
+ return e;
+ }
+ }
+ }
+}
+*/
+
+},{"../util":26}],18:[function(require,module,exports){
+var util = require('./util');
+
+/*
+ * The algorithms here are based on Brandes and Köpf, "Fast and Simple
+ * Horizontal Coordinate Assignment".
+ */
+module.exports = function() {
+ // External configuration
+ var config = {
+ nodeSep: 50,
+ edgeSep: 10,
+ universalSep: null,
+ rankSep: 30
+ };
+
+ var self = {};
+
+ self.nodeSep = util.propertyAccessor(self, config, 'nodeSep');
+ self.edgeSep = util.propertyAccessor(self, config, 'edgeSep');
+ // If not null this separation value is used for all nodes and edges
+ // regardless of their widths. `nodeSep` and `edgeSep` are ignored with this
+ // option.
+ self.universalSep = util.propertyAccessor(self, config, 'universalSep');
+ self.rankSep = util.propertyAccessor(self, config, 'rankSep');
+ self.debugLevel = util.propertyAccessor(self, config, 'debugLevel');
+
+ self.run = run;
+
+ return self;
+
+ function run(g) {
+ g = g.filterNodes(util.filterNonSubgraphs(g));
+
+ var layering = util.ordering(g);
+
+ var conflicts = findConflicts(g, layering);
+
+ var xss = {};
+ ['u', 'd'].forEach(function(vertDir) {
+ if (vertDir === 'd') layering.reverse();
+
+ ['l', 'r'].forEach(function(horizDir) {
+ if (horizDir === 'r') reverseInnerOrder(layering);
+
+ var dir = vertDir + horizDir;
+ var align = verticalAlignment(g, layering, conflicts, vertDir === 'u' ? 'predecessors' : 'successors');
+ xss[dir]= horizontalCompaction(g, layering, align.pos, align.root, align.align);
+
+ if (config.debugLevel >= 3)
+ debugPositioning(vertDir + horizDir, g, layering, xss[dir]);
+
+ if (horizDir === 'r') flipHorizontally(xss[dir]);
+
+ if (horizDir === 'r') reverseInnerOrder(layering);
+ });
+
+ if (vertDir === 'd') layering.reverse();
+ });
+
+ balance(g, layering, xss);
+
+ g.eachNode(function(v) {
+ var xs = [];
+ for (var alignment in xss) {
+ var alignmentX = xss[alignment][v];
+ posXDebug(alignment, g, v, alignmentX);
+ xs.push(alignmentX);
+ }
+ xs.sort(function(x, y) { return x - y; });
+ posX(g, v, (xs[1] + xs[2]) / 2);
+ });
+
+ // Align y coordinates with ranks
+ var y = 0, reverseY = g.graph().rankDir === 'BT' || g.graph().rankDir === 'RL';
+ layering.forEach(function(layer) {
+ var maxHeight = util.max(layer.map(function(u) { return height(g, u); }));
+ y += maxHeight / 2;
+ layer.forEach(function(u) {
+ posY(g, u, reverseY ? -y : y);
+ });
+ y += maxHeight / 2 + config.rankSep;
+ });
+
+ // Translate layout so that top left corner of bounding rectangle has
+ // coordinate (0, 0).
+ var minX = util.min(g.nodes().map(function(u) { return posX(g, u) - width(g, u) / 2; }));
+ var minY = util.min(g.nodes().map(function(u) { return posY(g, u) - height(g, u) / 2; }));
+ g.eachNode(function(u) {
+ posX(g, u, posX(g, u) - minX);
+ posY(g, u, posY(g, u) - minY);
+ });
+ }
+
+ /*
+ * Generate an ID that can be used to represent any undirected edge that is
+ * incident on `u` and `v`.
+ */
+ function undirEdgeId(u, v) {
+ return u < v
+ ? u.toString().length + ':' + u + '-' + v
+ : v.toString().length + ':' + v + '-' + u;
+ }
+
+ function findConflicts(g, layering) {
+ var conflicts = {}, // Set of conflicting edge ids
+ pos = {}, // Position of node in its layer
+ prevLayer,
+ currLayer,
+ k0, // Position of the last inner segment in the previous layer
+ l, // Current position in the current layer (for iteration up to `l1`)
+ k1; // Position of the next inner segment in the previous layer or
+ // the position of the last element in the previous layer
+
+ if (layering.length <= 2) return conflicts;
+
+ function updateConflicts(v) {
+ var k = pos[v];
+ if (k < k0 || k > k1) {
+ conflicts[undirEdgeId(currLayer[l], v)] = true;
+ }
+ }
+
+ layering[1].forEach(function(u, i) { pos[u] = i; });
+ for (var i = 1; i < layering.length - 1; ++i) {
+ prevLayer = layering[i];
+ currLayer = layering[i+1];
+ k0 = 0;
+ l = 0;
+
+ // Scan current layer for next node that is incident to an inner segement
+ // between layering[i+1] and layering[i].
+ for (var l1 = 0; l1 < currLayer.length; ++l1) {
+ var u = currLayer[l1]; // Next inner segment in the current layer or
+ // last node in the current layer
+ pos[u] = l1;
+ k1 = undefined;
+
+ if (g.node(u).dummy) {
+ var uPred = g.predecessors(u)[0];
+ // Note: In the case of self loops and sideways edges it is possible
+ // for a dummy not to have a predecessor.
+ if (uPred !== undefined && g.node(uPred).dummy)
+ k1 = pos[uPred];
+ }
+ if (k1 === undefined && l1 === currLayer.length - 1)
+ k1 = prevLayer.length - 1;
+
+ if (k1 !== undefined) {
+ for (; l <= l1; ++l) {
+ g.predecessors(currLayer[l]).forEach(updateConflicts);
+ }
+ k0 = k1;
+ }
+ }
+ }
+
+ return conflicts;
+ }
+
+ function verticalAlignment(g, layering, conflicts, relationship) {
+ var pos = {}, // Position for a node in its layer
+ root = {}, // Root of the block that the node participates in
+ align = {}; // Points to the next node in the block or, if the last
+ // element in the block, points to the first block's root
+
+ layering.forEach(function(layer) {
+ layer.forEach(function(u, i) {
+ root[u] = u;
+ align[u] = u;
+ pos[u] = i;
+ });
+ });
+
+ layering.forEach(function(layer) {
+ var prevIdx = -1;
+ layer.forEach(function(v) {
+ var related = g[relationship](v), // Adjacent nodes from the previous layer
+ mid; // The mid point in the related array
+
+ if (related.length > 0) {
+ related.sort(function(x, y) { return pos[x] - pos[y]; });
+ mid = (related.length - 1) / 2;
+ related.slice(Math.floor(mid), Math.ceil(mid) + 1).forEach(function(u) {
+ if (align[v] === v) {
+ if (!conflicts[undirEdgeId(u, v)] && prevIdx < pos[u]) {
+ align[u] = v;
+ align[v] = root[v] = root[u];
+ prevIdx = pos[u];
+ }
+ }
+ });
+ }
+ });
+ });
+
+ return { pos: pos, root: root, align: align };
+ }
+
+ // This function deviates from the standard BK algorithm in two ways. First
+ // it takes into account the size of the nodes. Second it includes a fix to
+ // the original algorithm that is described in Carstens, "Node and Label
+ // Placement in a Layered Layout Algorithm".
+ function horizontalCompaction(g, layering, pos, root, align) {
+ var sink = {}, // Mapping of node id -> sink node id for class
+ maybeShift = {}, // Mapping of sink node id -> { class node id, min shift }
+ shift = {}, // Mapping of sink node id -> shift
+ pred = {}, // Mapping of node id -> predecessor node (or null)
+ xs = {}; // Calculated X positions
+
+ layering.forEach(function(layer) {
+ layer.forEach(function(u, i) {
+ sink[u] = u;
+ maybeShift[u] = {};
+ if (i > 0)
+ pred[u] = layer[i - 1];
+ });
+ });
+
+ function updateShift(toShift, neighbor, delta) {
+ if (!(neighbor in maybeShift[toShift])) {
+ maybeShift[toShift][neighbor] = delta;
+ } else {
+ maybeShift[toShift][neighbor] = Math.min(maybeShift[toShift][neighbor], delta);
+ }
+ }
+
+ function placeBlock(v) {
+ if (!(v in xs)) {
+ xs[v] = 0;
+ var w = v;
+ do {
+ if (pos[w] > 0) {
+ var u = root[pred[w]];
+ placeBlock(u);
+ if (sink[v] === v) {
+ sink[v] = sink[u];
+ }
+ var delta = sep(g, pred[w]) + sep(g, w);
+ if (sink[v] !== sink[u]) {
+ updateShift(sink[u], sink[v], xs[v] - xs[u] - delta);
+ } else {
+ xs[v] = Math.max(xs[v], xs[u] + delta);
+ }
+ }
+ w = align[w];
+ } while (w !== v);
+ }
+ }
+
+ // Root coordinates relative to sink
+ util.values(root).forEach(function(v) {
+ placeBlock(v);
+ });
+
+ // Absolute coordinates
+ // There is an assumption here that we've resolved shifts for any classes
+ // that begin at an earlier layer. We guarantee this by visiting layers in
+ // order.
+ layering.forEach(function(layer) {
+ layer.forEach(function(v) {
+ xs[v] = xs[root[v]];
+ if (v === root[v] && v === sink[v]) {
+ var minShift = 0;
+ if (v in maybeShift && Object.keys(maybeShift[v]).length > 0) {
+ minShift = util.min(Object.keys(maybeShift[v])
+ .map(function(u) {
+ return maybeShift[v][u] + (u in shift ? shift[u] : 0);
+ }
+ ));
+ }
+ shift[v] = minShift;
+ }
+ });
+ });
+
+ layering.forEach(function(layer) {
+ layer.forEach(function(v) {
+ xs[v] += shift[sink[root[v]]] || 0;
+ });
+ });
+
+ return xs;
+ }
+
+ function findMinCoord(g, layering, xs) {
+ return util.min(layering.map(function(layer) {
+ var u = layer[0];
+ return xs[u];
+ }));
+ }
+
+ function findMaxCoord(g, layering, xs) {
+ return util.max(layering.map(function(layer) {
+ var u = layer[layer.length - 1];
+ return xs[u];
+ }));
+ }
+
+ function balance(g, layering, xss) {
+ var min = {}, // Min coordinate for the alignment
+ max = {}, // Max coordinate for the alginment
+ smallestAlignment,
+ shift = {}; // Amount to shift a given alignment
+
+ function updateAlignment(v) {
+ xss[alignment][v] += shift[alignment];
+ }
+
+ var smallest = Number.POSITIVE_INFINITY;
+ for (var alignment in xss) {
+ var xs = xss[alignment];
+ min[alignment] = findMinCoord(g, layering, xs);
+ max[alignment] = findMaxCoord(g, layering, xs);
+ var w = max[alignment] - min[alignment];
+ if (w < smallest) {
+ smallest = w;
+ smallestAlignment = alignment;
+ }
+ }
+
+ // Determine how much to adjust positioning for each alignment
+ ['u', 'd'].forEach(function(vertDir) {
+ ['l', 'r'].forEach(function(horizDir) {
+ var alignment = vertDir + horizDir;
+ shift[alignment] = horizDir === 'l'
+ ? min[smallestAlignment] - min[alignment]
+ : max[smallestAlignment] - max[alignment];
+ });
+ });
+
+ // Find average of medians for xss array
+ for (alignment in xss) {
+ g.eachNode(updateAlignment);
+ }
+ }
+
+ function flipHorizontally(xs) {
+ for (var u in xs) {
+ xs[u] = -xs[u];
+ }
+ }
+
+ function reverseInnerOrder(layering) {
+ layering.forEach(function(layer) {
+ layer.reverse();
+ });
+ }
+
+ function width(g, u) {
+ switch (g.graph().rankDir) {
+ case 'LR': return g.node(u).height;
+ case 'RL': return g.node(u).height;
+ default: return g.node(u).width;
+ }
+ }
+
+ function height(g, u) {
+ switch(g.graph().rankDir) {
+ case 'LR': return g.node(u).width;
+ case 'RL': return g.node(u).width;
+ default: return g.node(u).height;
+ }
+ }
+
+ function sep(g, u) {
+ if (config.universalSep !== null) {
+ return config.universalSep;
+ }
+ var w = width(g, u);
+ var s = g.node(u).dummy ? config.edgeSep : config.nodeSep;
+ return (w + s) / 2;
+ }
+
+ function posX(g, u, x) {
+ if (g.graph().rankDir === 'LR' || g.graph().rankDir === 'RL') {
+ if (arguments.length < 3) {
+ return g.node(u).y;
+ } else {
+ g.node(u).y = x;
+ }
+ } else {
+ if (arguments.length < 3) {
+ return g.node(u).x;
+ } else {
+ g.node(u).x = x;
+ }
+ }
+ }
+
+ function posXDebug(name, g, u, x) {
+ if (g.graph().rankDir === 'LR' || g.graph().rankDir === 'RL') {
+ if (arguments.length < 3) {
+ return g.node(u)[name];
+ } else {
+ g.node(u)[name] = x;
+ }
+ } else {
+ if (arguments.length < 3) {
+ return g.node(u)[name];
+ } else {
+ g.node(u)[name] = x;
+ }
+ }
+ }
+
+ function posY(g, u, y) {
+ if (g.graph().rankDir === 'LR' || g.graph().rankDir === 'RL') {
+ if (arguments.length < 3) {
+ return g.node(u).x;
+ } else {
+ g.node(u).x = y;
+ }
+ } else {
+ if (arguments.length < 3) {
+ return g.node(u).y;
+ } else {
+ g.node(u).y = y;
+ }
+ }
+ }
+
+ function debugPositioning(align, g, layering, xs) {
+ layering.forEach(function(l, li) {
+ var u, xU;
+ l.forEach(function(v) {
+ var xV = xs[v];
+ if (u) {
+ var s = sep(g, u) + sep(g, v);
+ if (xV - xU < s)
+ console.log('Position phase: sep violation. Align: ' + align + '. Layer: ' + li + '. ' +
+ 'U: ' + u + ' V: ' + v + '. Actual sep: ' + (xV - xU) + ' Expected sep: ' + s);
+ }
+ u = v;
+ xU = xV;
+ });
+ });
+ }
+};
+
+},{"./util":26}],19:[function(require,module,exports){
+var util = require('./util'),
+ acyclic = require('./rank/acyclic'),
+ initRank = require('./rank/initRank'),
+ feasibleTree = require('./rank/feasibleTree'),
+ constraints = require('./rank/constraints'),
+ simplex = require('./rank/simplex'),
+ components = require('graphlib').alg.components,
+ filter = require('graphlib').filter;
+
+exports.run = run;
+exports.restoreEdges = restoreEdges;
+
+/*
+ * Heuristic function that assigns a rank to each node of the input graph with
+ * the intent of minimizing edge lengths, while respecting the `minLen`
+ * attribute of incident edges.
+ *
+ * Prerequisites:
+ *
+ * * Each edge in the input graph must have an assigned 'minLen' attribute
+ */
+function run(g, useSimplex) {
+ expandSelfLoops(g);
+
+ // If there are rank constraints on nodes, then build a new graph that
+ // encodes the constraints.
+ util.time('constraints.apply', constraints.apply)(g);
+
+ expandSidewaysEdges(g);
+
+ // Reverse edges to get an acyclic graph, we keep the graph in an acyclic
+ // state until the very end.
+ util.time('acyclic', acyclic)(g);
+
+ // Convert the graph into a flat graph for ranking
+ var flatGraph = g.filterNodes(util.filterNonSubgraphs(g));
+
+ // Assign an initial ranking using DFS.
+ initRank(flatGraph);
+
+ // For each component improve the assigned ranks.
+ components(flatGraph).forEach(function(cmpt) {
+ var subgraph = flatGraph.filterNodes(filter.nodesFromList(cmpt));
+ rankComponent(subgraph, useSimplex);
+ });
+
+ // Relax original constraints
+ util.time('constraints.relax', constraints.relax(g));
+
+ // When handling nodes with constrained ranks it is possible to end up with
+ // edges that point to previous ranks. Most of the subsequent algorithms assume
+ // that edges are pointing to successive ranks only. Here we reverse any "back
+ // edges" and mark them as such. The acyclic algorithm will reverse them as a
+ // post processing step.
+ util.time('reorientEdges', reorientEdges)(g);
+}
+
+function restoreEdges(g) {
+ acyclic.undo(g);
+}
+
+/*
+ * Expand self loops into three dummy nodes. One will sit above the incident
+ * node, one will be at the same level, and one below. The result looks like:
+ *
+ * /--<--x--->--\
+ * node y
+ * \--<--z--->--/
+ *
+ * Dummy nodes x, y, z give us the shape of a loop and node y is where we place
+ * the label.
+ *
+ * TODO: consolidate knowledge of dummy node construction.
+ * TODO: support minLen = 2
+ */
+function expandSelfLoops(g) {
+ g.eachEdge(function(e, u, v, a) {
+ if (u === v) {
+ var x = addDummyNode(g, e, u, v, a, 0, false),
+ y = addDummyNode(g, e, u, v, a, 1, true),
+ z = addDummyNode(g, e, u, v, a, 2, false);
+ g.addEdge(null, x, u, {minLen: 1, selfLoop: true});
+ g.addEdge(null, x, y, {minLen: 1, selfLoop: true});
+ g.addEdge(null, u, z, {minLen: 1, selfLoop: true});
+ g.addEdge(null, y, z, {minLen: 1, selfLoop: true});
+ g.delEdge(e);
+ }
+ });
+}
+
+function expandSidewaysEdges(g) {
+ g.eachEdge(function(e, u, v, a) {
+ if (u === v) {
+ var origEdge = a.originalEdge,
+ dummy = addDummyNode(g, origEdge.e, origEdge.u, origEdge.v, origEdge.value, 0, true);
+ g.addEdge(null, u, dummy, {minLen: 1});
+ g.addEdge(null, dummy, v, {minLen: 1});
+ g.delEdge(e);
+ }
+ });
+}
+
+function addDummyNode(g, e, u, v, a, index, isLabel) {
+ return g.addNode(null, {
+ width: isLabel ? a.width : 0,
+ height: isLabel ? a.height : 0,
+ edge: { id: e, source: u, target: v, attrs: a },
+ dummy: true,
+ index: index
+ });
+}
+
+function reorientEdges(g) {
+ g.eachEdge(function(e, u, v, value) {
+ if (g.node(u).rank > g.node(v).rank) {
+ g.delEdge(e);
+ value.reversed = true;
+ g.addEdge(e, v, u, value);
+ }
+ });
+}
+
+function rankComponent(subgraph, useSimplex) {
+ var spanningTree = feasibleTree(subgraph);
+
+ if (useSimplex) {
+ util.log(1, 'Using network simplex for ranking');
+ simplex(subgraph, spanningTree);
+ }
+ normalize(subgraph);
+}
+
+function normalize(g) {
+ var m = util.min(g.nodes().map(function(u) { return g.node(u).rank; }));
+ g.eachNode(function(u, node) { node.rank -= m; });
+}
+
+},{"./rank/acyclic":20,"./rank/constraints":21,"./rank/feasibleTree":22,"./rank/initRank":23,"./rank/simplex":25,"./util":26,"graphlib":28}],20:[function(require,module,exports){
+var util = require('../util');
+
+module.exports = acyclic;
+module.exports.undo = undo;
+
+/*
+ * This function takes a directed graph that may have cycles and reverses edges
+ * as appropriate to break these cycles. Each reversed edge is assigned a
+ * `reversed` attribute with the value `true`.
+ *
+ * There should be no self loops in the graph.
+ */
+function acyclic(g) {
+ var onStack = {},
+ visited = {},
+ reverseCount = 0;
+
+ function dfs(u) {
+ if (u in visited) return;
+ visited[u] = onStack[u] = true;
+ g.outEdges(u).forEach(function(e) {
+ var t = g.target(e),
+ value;
+
+ if (u === t) {
+ console.error('Warning: found self loop "' + e + '" for node "' + u + '"');
+ } else if (t in onStack) {
+ value = g.edge(e);
+ g.delEdge(e);
+ value.reversed = true;
+ ++reverseCount;
+ g.addEdge(e, t, u, value);
+ } else {
+ dfs(t);
+ }
+ });
+
+ delete onStack[u];
+ }
+
+ g.eachNode(function(u) { dfs(u); });
+
+ util.log(2, 'Acyclic Phase: reversed ' + reverseCount + ' edge(s)');
+
+ return reverseCount;
+}
+
+/*
+ * Given a graph that has had the acyclic operation applied, this function
+ * undoes that operation. More specifically, any edge with the `reversed`
+ * attribute is again reversed to restore the original direction of the edge.
+ */
+function undo(g) {
+ g.eachEdge(function(e, s, t, a) {
+ if (a.reversed) {
+ delete a.reversed;
+ g.delEdge(e);
+ g.addEdge(e, t, s, a);
+ }
+ });
+}
+
+},{"../util":26}],21:[function(require,module,exports){
+exports.apply = function(g) {
+ function dfs(sg) {
+ var rankSets = {};
+ g.children(sg).forEach(function(u) {
+ if (g.children(u).length) {
+ dfs(u);
+ return;
+ }
+
+ var value = g.node(u),
+ prefRank = value.prefRank;
+ if (prefRank !== undefined) {
+ if (!checkSupportedPrefRank(prefRank)) { return; }
+
+ if (!(prefRank in rankSets)) {
+ rankSets.prefRank = [u];
+ } else {
+ rankSets.prefRank.push(u);
+ }
+
+ var newU = rankSets[prefRank];
+ if (newU === undefined) {
+ newU = rankSets[prefRank] = g.addNode(null, { originalNodes: [] });
+ g.parent(newU, sg);
+ }
+
+ redirectInEdges(g, u, newU, prefRank === 'min');
+ redirectOutEdges(g, u, newU, prefRank === 'max');
+
+ // Save original node and remove it from reduced graph
+ g.node(newU).originalNodes.push({ u: u, value: value, parent: sg });
+ g.delNode(u);
+ }
+ });
+
+ addLightEdgesFromMinNode(g, sg, rankSets.min);
+ addLightEdgesToMaxNode(g, sg, rankSets.max);
+ }
+
+ dfs(null);
+};
+
+function checkSupportedPrefRank(prefRank) {
+ if (prefRank !== 'min' && prefRank !== 'max' && prefRank.indexOf('same_') !== 0) {
+ console.error('Unsupported rank type: ' + prefRank);
+ return false;
+ }
+ return true;
+}
+
+function redirectInEdges(g, u, newU, reverse) {
+ g.inEdges(u).forEach(function(e) {
+ var origValue = g.edge(e),
+ value;
+ if (origValue.originalEdge) {
+ value = origValue;
+ } else {
+ value = {
+ originalEdge: { e: e, u: g.source(e), v: g.target(e), value: origValue },
+ minLen: g.edge(e).minLen
+ };
+ }
+
+ // Do not reverse edges for self-loops.
+ if (origValue.selfLoop) {
+ reverse = false;
+ }
+
+ if (reverse) {
+ // Ensure that all edges to min are reversed
+ g.addEdge(null, newU, g.source(e), value);
+ value.reversed = true;
+ } else {
+ g.addEdge(null, g.source(e), newU, value);
+ }
+ });
+}
+
+function redirectOutEdges(g, u, newU, reverse) {
+ g.outEdges(u).forEach(function(e) {
+ var origValue = g.edge(e),
+ value;
+ if (origValue.originalEdge) {
+ value = origValue;
+ } else {
+ value = {
+ originalEdge: { e: e, u: g.source(e), v: g.target(e), value: origValue },
+ minLen: g.edge(e).minLen
+ };
+ }
+
+ // Do not reverse edges for self-loops.
+ if (origValue.selfLoop) {
+ reverse = false;
+ }
+
+ if (reverse) {
+ // Ensure that all edges from max are reversed
+ g.addEdge(null, g.target(e), newU, value);
+ value.reversed = true;
+ } else {
+ g.addEdge(null, newU, g.target(e), value);
+ }
+ });
+}
+
+function addLightEdgesFromMinNode(g, sg, minNode) {
+ if (minNode !== undefined) {
+ g.children(sg).forEach(function(u) {
+ // The dummy check ensures we don't add an edge if the node is involved
+ // in a self loop or sideways edge.
+ if (u !== minNode && !g.outEdges(minNode, u).length && !g.node(u).dummy) {
+ g.addEdge(null, minNode, u, { minLen: 0 });
+ }
+ });
+ }
+}
+
+function addLightEdgesToMaxNode(g, sg, maxNode) {
+ if (maxNode !== undefined) {
+ g.children(sg).forEach(function(u) {
+ // The dummy check ensures we don't add an edge if the node is involved
+ // in a self loop or sideways edge.
+ if (u !== maxNode && !g.outEdges(u, maxNode).length && !g.node(u).dummy) {
+ g.addEdge(null, u, maxNode, { minLen: 0 });
+ }
+ });
+ }
+}
+
+/*
+ * This function "relaxes" the constraints applied previously by the "apply"
+ * function. It expands any nodes that were collapsed and assigns the rank of
+ * the collapsed node to each of the expanded nodes. It also restores the
+ * original edges and removes any dummy edges pointing at the collapsed nodes.
+ *
+ * Note that the process of removing collapsed nodes also removes dummy edges
+ * automatically.
+ */
+exports.relax = function(g) {
+ // Save original edges
+ var originalEdges = [];
+ g.eachEdge(function(e, u, v, value) {
+ var originalEdge = value.originalEdge;
+ if (originalEdge) {
+ originalEdges.push(originalEdge);
+ }
+ });
+
+ // Expand collapsed nodes
+ g.eachNode(function(u, value) {
+ var originalNodes = value.originalNodes;
+ if (originalNodes) {
+ originalNodes.forEach(function(originalNode) {
+ originalNode.value.rank = value.rank;
+ g.addNode(originalNode.u, originalNode.value);
+ g.parent(originalNode.u, originalNode.parent);
+ });
+ g.delNode(u);
+ }
+ });
+
+ // Restore original edges
+ originalEdges.forEach(function(edge) {
+ g.addEdge(edge.e, edge.u, edge.v, edge.value);
+ });
+};
+
+},{}],22:[function(require,module,exports){
+/* jshint -W079 */
+var Set = require('cp-data').Set,
+/* jshint +W079 */
+ Digraph = require('graphlib').Digraph,
+ util = require('../util');
+
+module.exports = feasibleTree;
+
+/*
+ * Given an acyclic graph with each node assigned a `rank` attribute, this
+ * function constructs and returns a spanning tree. This function may reduce
+ * the length of some edges from the initial rank assignment while maintaining
+ * the `minLen` specified by each edge.
+ *
+ * Prerequisites:
+ *
+ * * The input graph is acyclic
+ * * Each node in the input graph has an assigned `rank` attribute
+ * * Each edge in the input graph has an assigned `minLen` attribute
+ *
+ * Outputs:
+ *
+ * A feasible spanning tree for the input graph (i.e. a spanning tree that
+ * respects each graph edge's `minLen` attribute) represented as a Digraph with
+ * a `root` attribute on graph.
+ *
+ * Nodes have the same id and value as that in the input graph.
+ *
+ * Edges in the tree have arbitrarily assigned ids. The attributes for edges
+ * include `reversed`. `reversed` indicates that the edge is a
+ * back edge in the input graph.
+ */
+function feasibleTree(g) {
+ var remaining = new Set(g.nodes()),
+ tree = new Digraph();
+
+ if (remaining.size() === 1) {
+ var root = g.nodes()[0];
+ tree.addNode(root, {});
+ tree.graph({ root: root });
+ return tree;
+ }
+
+ function addTightEdges(v) {
+ var continueToScan = true;
+ g.predecessors(v).forEach(function(u) {
+ if (remaining.has(u) && !slack(g, u, v)) {
+ if (remaining.has(v)) {
+ tree.addNode(v, {});
+ remaining.remove(v);
+ tree.graph({ root: v });
+ }
+
+ tree.addNode(u, {});
+ tree.addEdge(null, u, v, { reversed: true });
+ remaining.remove(u);
+ addTightEdges(u);
+ continueToScan = false;
+ }
+ });
+
+ g.successors(v).forEach(function(w) {
+ if (remaining.has(w) && !slack(g, v, w)) {
+ if (remaining.has(v)) {
+ tree.addNode(v, {});
+ remaining.remove(v);
+ tree.graph({ root: v });
+ }
+
+ tree.addNode(w, {});
+ tree.addEdge(null, v, w, {});
+ remaining.remove(w);
+ addTightEdges(w);
+ continueToScan = false;
+ }
+ });
+ return continueToScan;
+ }
+
+ function createTightEdge() {
+ var minSlack = Number.MAX_VALUE;
+ remaining.keys().forEach(function(v) {
+ g.predecessors(v).forEach(function(u) {
+ if (!remaining.has(u)) {
+ var edgeSlack = slack(g, u, v);
+ if (Math.abs(edgeSlack) < Math.abs(minSlack)) {
+ minSlack = -edgeSlack;
+ }
+ }
+ });
+
+ g.successors(v).forEach(function(w) {
+ if (!remaining.has(w)) {
+ var edgeSlack = slack(g, v, w);
+ if (Math.abs(edgeSlack) < Math.abs(minSlack)) {
+ minSlack = edgeSlack;
+ }
+ }
+ });
+ });
+
+ tree.eachNode(function(u) { g.node(u).rank -= minSlack; });
+ }
+
+ while (remaining.size()) {
+ var nodesToSearch = !tree.order() ? remaining.keys() : tree.nodes();
+ for (var i = 0, il = nodesToSearch.length;
+ i < il && addTightEdges(nodesToSearch[i]);
+ ++i);
+ if (remaining.size()) {
+ createTightEdge();
+ }
+ }
+
+ return tree;
+}
+
+function slack(g, u, v) {
+ var rankDiff = g.node(v).rank - g.node(u).rank;
+ var maxMinLen = util.max(g.outEdges(u, v)
+ .map(function(e) { return g.edge(e).minLen; }));
+ return rankDiff - maxMinLen;
+}
+
+},{"../util":26,"cp-data":5,"graphlib":28}],23:[function(require,module,exports){
+var util = require('../util'),
+ topsort = require('graphlib').alg.topsort;
+
+module.exports = initRank;
+
+/*
+ * Assigns a `rank` attribute to each node in the input graph and ensures that
+ * this rank respects the `minLen` attribute of incident edges.
+ *
+ * Prerequisites:
+ *
+ * * The input graph must be acyclic
+ * * Each edge in the input graph must have an assigned 'minLen' attribute
+ */
+function initRank(g) {
+ var sorted = topsort(g);
+
+ sorted.forEach(function(u) {
+ var inEdges = g.inEdges(u);
+ if (inEdges.length === 0) {
+ g.node(u).rank = 0;
+ return;
+ }
+
+ var minLens = inEdges.map(function(e) {
+ return g.node(g.source(e)).rank + g.edge(e).minLen;
+ });
+ g.node(u).rank = util.max(minLens);
+ });
+}
+
+},{"../util":26,"graphlib":28}],24:[function(require,module,exports){
+module.exports = {
+ slack: slack
+};
+
+/*
+ * A helper to calculate the slack between two nodes (`u` and `v`) given a
+ * `minLen` constraint. The slack represents how much the distance between `u`
+ * and `v` could shrink while maintaining the `minLen` constraint. If the value
+ * is negative then the constraint is currently violated.
+ *
+ This function requires that `u` and `v` are in `graph` and they both have a
+ `rank` attribute.
+ */
+function slack(graph, u, v, minLen) {
+ return Math.abs(graph.node(u).rank - graph.node(v).rank) - minLen;
+}
+
+},{}],25:[function(require,module,exports){
+var util = require('../util'),
+ rankUtil = require('./rankUtil');
+
+module.exports = simplex;
+
+function simplex(graph, spanningTree) {
+ // The network simplex algorithm repeatedly replaces edges of
+ // the spanning tree with negative cut values until no such
+ // edge exists.
+ initCutValues(graph, spanningTree);
+ while (true) {
+ var e = leaveEdge(spanningTree);
+ if (e === null) break;
+ var f = enterEdge(graph, spanningTree, e);
+ exchange(graph, spanningTree, e, f);
+ }
+}
+
+/*
+ * Set the cut values of edges in the spanning tree by a depth-first
+ * postorder traversal. The cut value corresponds to the cost, in
+ * terms of a ranking's edge length sum, of lengthening an edge.
+ * Negative cut values typically indicate edges that would yield a
+ * smaller edge length sum if they were lengthened.
+ */
+function initCutValues(graph, spanningTree) {
+ computeLowLim(spanningTree);
+
+ spanningTree.eachEdge(function(id, u, v, treeValue) {
+ treeValue.cutValue = 0;
+ });
+
+ // Propagate cut values up the tree.
+ function dfs(n) {
+ var children = spanningTree.successors(n);
+ for (var c in children) {
+ var child = children[c];
+ dfs(child);
+ }
+ if (n !== spanningTree.graph().root) {
+ setCutValue(graph, spanningTree, n);
+ }
+ }
+ dfs(spanningTree.graph().root);
+}
+
+/*
+ * Perform a DFS postorder traversal, labeling each node v with
+ * its traversal order 'lim(v)' and the minimum traversal number
+ * of any of its descendants 'low(v)'. This provides an efficient
+ * way to test whether u is an ancestor of v since
+ * low(u) <= lim(v) <= lim(u) if and only if u is an ancestor.
+ */
+function computeLowLim(tree) {
+ var postOrderNum = 0;
+
+ function dfs(n) {
+ var children = tree.successors(n);
+ var low = postOrderNum;
+ for (var c in children) {
+ var child = children[c];
+ dfs(child);
+ low = Math.min(low, tree.node(child).low);
+ }
+ tree.node(n).low = low;
+ tree.node(n).lim = postOrderNum++;
+ }
+
+ dfs(tree.graph().root);
+}
+
+/*
+ * To compute the cut value of the edge parent -> child, we consider
+ * it and any other graph edges to or from the child.
+ * parent
+ * |
+ * child
+ * / \
+ * u v
+ */
+function setCutValue(graph, tree, child) {
+ var parentEdge = tree.inEdges(child)[0];
+
+ // List of child's children in the spanning tree.
+ var grandchildren = [];
+ var grandchildEdges = tree.outEdges(child);
+ for (var gce in grandchildEdges) {
+ grandchildren.push(tree.target(grandchildEdges[gce]));
+ }
+
+ var cutValue = 0;
+
+ // TODO: Replace unit increment/decrement with edge weights.
+ var E = 0; // Edges from child to grandchild's subtree.
+ var F = 0; // Edges to child from grandchild's subtree.
+ var G = 0; // Edges from child to nodes outside of child's subtree.
+ var H = 0; // Edges from nodes outside of child's subtree to child.
+
+ // Consider all graph edges from child.
+ var outEdges = graph.outEdges(child);
+ var gc;
+ for (var oe in outEdges) {
+ var succ = graph.target(outEdges[oe]);
+ for (gc in grandchildren) {
+ if (inSubtree(tree, succ, grandchildren[gc])) {
+ E++;
+ }
+ }
+ if (!inSubtree(tree, succ, child)) {
+ G++;
+ }
+ }
+
+ // Consider all graph edges to child.
+ var inEdges = graph.inEdges(child);
+ for (var ie in inEdges) {
+ var pred = graph.source(inEdges[ie]);
+ for (gc in grandchildren) {
+ if (inSubtree(tree, pred, grandchildren[gc])) {
+ F++;
+ }
+ }
+ if (!inSubtree(tree, pred, child)) {
+ H++;
+ }
+ }
+
+ // Contributions depend on the alignment of the parent -> child edge
+ // and the child -> u or v edges.
+ var grandchildCutSum = 0;
+ for (gc in grandchildren) {
+ var cv = tree.edge(grandchildEdges[gc]).cutValue;
+ if (!tree.edge(grandchildEdges[gc]).reversed) {
+ grandchildCutSum += cv;
+ } else {
+ grandchildCutSum -= cv;
+ }
+ }
+
+ if (!tree.edge(parentEdge).reversed) {
+ cutValue += grandchildCutSum - E + F - G + H;
+ } else {
+ cutValue -= grandchildCutSum - E + F - G + H;
+ }
+
+ tree.edge(parentEdge).cutValue = cutValue;
+}
+
+/*
+ * Return whether n is a node in the subtree with the given
+ * root.
+ */
+function inSubtree(tree, n, root) {
+ return (tree.node(root).low <= tree.node(n).lim &&
+ tree.node(n).lim <= tree.node(root).lim);
+}
+
+/*
+ * Return an edge from the tree with a negative cut value, or null if there
+ * is none.
+ */
+function leaveEdge(tree) {
+ var edges = tree.edges();
+ for (var n in edges) {
+ var e = edges[n];
+ var treeValue = tree.edge(e);
+ if (treeValue.cutValue < 0) {
+ return e;
+ }
+ }
+ return null;
+}
+
+/*
+ * The edge e should be an edge in the tree, with an underlying edge
+ * in the graph, with a negative cut value. Of the two nodes incident
+ * on the edge, take the lower one. enterEdge returns an edge with
+ * minimum slack going from outside of that node's subtree to inside
+ * of that node's subtree.
+ */
+function enterEdge(graph, tree, e) {
+ var source = tree.source(e);
+ var target = tree.target(e);
+ var lower = tree.node(target).lim < tree.node(source).lim ? target : source;
+
+ // Is the tree edge aligned with the graph edge?
+ var aligned = !tree.edge(e).reversed;
+
+ var minSlack = Number.POSITIVE_INFINITY;
+ var minSlackEdge;
+ if (aligned) {
+ graph.eachEdge(function(id, u, v, value) {
+ if (id !== e && inSubtree(tree, u, lower) && !inSubtree(tree, v, lower)) {
+ var slack = rankUtil.slack(graph, u, v, value.minLen);
+ if (slack < minSlack) {
+ minSlack = slack;
+ minSlackEdge = id;
+ }
+ }
+ });
+ } else {
+ graph.eachEdge(function(id, u, v, value) {
+ if (id !== e && !inSubtree(tree, u, lower) && inSubtree(tree, v, lower)) {
+ var slack = rankUtil.slack(graph, u, v, value.minLen);
+ if (slack < minSlack) {
+ minSlack = slack;
+ minSlackEdge = id;
+ }
+ }
+ });
+ }
+
+ if (minSlackEdge === undefined) {
+ var outside = [];
+ var inside = [];
+ graph.eachNode(function(id) {
+ if (!inSubtree(tree, id, lower)) {
+ outside.push(id);
+ } else {
+ inside.push(id);
+ }
+ });
+ throw new Error('No edge found from outside of tree to inside');
+ }
+
+ return minSlackEdge;
+}
+
+/*
+ * Replace edge e with edge f in the tree, recalculating the tree root,
+ * the nodes' low and lim properties and the edges' cut values.
+ */
+function exchange(graph, tree, e, f) {
+ tree.delEdge(e);
+ var source = graph.source(f);
+ var target = graph.target(f);
+
+ // Redirect edges so that target is the root of its subtree.
+ function redirect(v) {
+ var edges = tree.inEdges(v);
+ for (var i in edges) {
+ var e = edges[i];
+ var u = tree.source(e);
+ var value = tree.edge(e);
+ redirect(u);
+ tree.delEdge(e);
+ value.reversed = !value.reversed;
+ tree.addEdge(e, v, u, value);
+ }
+ }
+
+ redirect(target);
+
+ var root = source;
+ var edges = tree.inEdges(root);
+ while (edges.length > 0) {
+ root = tree.source(edges[0]);
+ edges = tree.inEdges(root);
+ }
+
+ tree.graph().root = root;
+
+ tree.addEdge(null, source, target, {cutValue: 0});
+
+ initCutValues(graph, tree);
+
+ adjustRanks(graph, tree);
+}
+
+/*
+ * Reset the ranks of all nodes based on the current spanning tree.
+ * The rank of the tree's root remains unchanged, while all other
+ * nodes are set to the sum of minimum length constraints along
+ * the path from the root.
+ */
+function adjustRanks(graph, tree) {
+ function dfs(p) {
+ var children = tree.successors(p);
+ children.forEach(function(c) {
+ var minLen = minimumLength(graph, p, c);
+ graph.node(c).rank = graph.node(p).rank + minLen;
+ dfs(c);
+ });
+ }
+
+ dfs(tree.graph().root);
+}
+
+/*
+ * If u and v are connected by some edges in the graph, return the
+ * minimum length of those edges, as a positive number if v succeeds
+ * u and as a negative number if v precedes u.
+ */
+function minimumLength(graph, u, v) {
+ var outEdges = graph.outEdges(u, v);
+ if (outEdges.length > 0) {
+ return util.max(outEdges.map(function(e) {
+ return graph.edge(e).minLen;
+ }));
+ }
+
+ var inEdges = graph.inEdges(u, v);
+ if (inEdges.length > 0) {
+ return -util.max(inEdges.map(function(e) {
+ return graph.edge(e).minLen;
+ }));
+ }
+}
+
+},{"../util":26,"./rankUtil":24}],26:[function(require,module,exports){
+/*
+ * Returns the smallest value in the array.
+ */
+exports.min = function(values) {
+ return Math.min.apply(Math, values);
+};
+
+/*
+ * Returns the largest value in the array.
+ */
+exports.max = function(values) {
+ return Math.max.apply(Math, values);
+};
+
+/*
+ * Returns `true` only if `f(x)` is `true` for all `x` in `xs`. Otherwise
+ * returns `false`. This function will return immediately if it finds a
+ * case where `f(x)` does not hold.
+ */
+exports.all = function(xs, f) {
+ for (var i = 0; i < xs.length; ++i) {
+ if (!f(xs[i])) {
+ return false;
+ }
+ }
+ return true;
+};
+
+/*
+ * Accumulates the sum of elements in the given array using the `+` operator.
+ */
+exports.sum = function(values) {
+ return values.reduce(function(acc, x) { return acc + x; }, 0);
+};
+
+/*
+ * Returns an array of all values in the given object.
+ */
+exports.values = function(obj) {
+ return Object.keys(obj).map(function(k) { return obj[k]; });
+};
+
+exports.shuffle = function(array) {
+ for (i = array.length - 1; i > 0; --i) {
+ var j = Math.floor(Math.random() * (i + 1));
+ var aj = array[j];
+ array[j] = array[i];
+ array[i] = aj;
+ }
+};
+
+exports.propertyAccessor = function(self, config, field, setHook) {
+ return function(x) {
+ if (!arguments.length) return config[field];
+ config[field] = x;
+ if (setHook) setHook(x);
+ return self;
+ };
+};
+
+/*
+ * Given a layered, directed graph with `rank` and `order` node attributes,
+ * this function returns an array of ordered ranks. Each rank contains an array
+ * of the ids of the nodes in that rank in the order specified by the `order`
+ * attribute.
+ */
+exports.ordering = function(g) {
+ var ordering = [];
+ g.eachNode(function(u, value) {
+ var rank = ordering[value.rank] || (ordering[value.rank] = []);
+ rank[value.order] = u;
+ });
+ return ordering;
+};
+
+/*
+ * A filter that can be used with `filterNodes` to get a graph that only
+ * includes nodes that do not contain others nodes.
+ */
+exports.filterNonSubgraphs = function(g) {
+ return function(u) {
+ return g.children(u).length === 0;
+ };
+};
+
+/*
+ * Returns a new function that wraps `func` with a timer. The wrapper logs the
+ * time it takes to execute the function.
+ *
+ * The timer will be enabled provided `log.level >= 1`.
+ */
+function time(name, func) {
+ return function() {
+ var start = new Date().getTime();
+ try {
+ return func.apply(null, arguments);
+ } finally {
+ log(1, name + ' time: ' + (new Date().getTime() - start) + 'ms');
+ }
+ };
+}
+time.enabled = false;
+
+exports.time = time;
+
+/*
+ * A global logger with the specification `log(level, message, ...)` that
+ * will log a message to the console if `log.level >= level`.
+ */
+function log(level) {
+ if (log.level >= level) {
+ console.log.apply(console, Array.prototype.slice.call(arguments, 1));
+ }
+}
+log.level = 0;
+
+exports.log = log;
+
+},{}],27:[function(require,module,exports){
+module.exports = '0.4.5';
+
+},{}],28:[function(require,module,exports){
+exports.Graph = require("./lib/Graph");
+exports.Digraph = require("./lib/Digraph");
+exports.CGraph = require("./lib/CGraph");
+exports.CDigraph = require("./lib/CDigraph");
+require("./lib/graph-converters");
+
+exports.alg = {
+ isAcyclic: require("./lib/alg/isAcyclic"),
+ components: require("./lib/alg/components"),
+ dijkstra: require("./lib/alg/dijkstra"),
+ dijkstraAll: require("./lib/alg/dijkstraAll"),
+ findCycles: require("./lib/alg/findCycles"),
+ floydWarshall: require("./lib/alg/floydWarshall"),
+ postorder: require("./lib/alg/postorder"),
+ preorder: require("./lib/alg/preorder"),
+ prim: require("./lib/alg/prim"),
+ tarjan: require("./lib/alg/tarjan"),
+ topsort: require("./lib/alg/topsort")
+};
+
+exports.converter = {
+ json: require("./lib/converter/json.js")
+};
+
+var filter = require("./lib/filter");
+exports.filter = {
+ all: filter.all,
+ nodesFromList: filter.nodesFromList
+};
+
+exports.version = require("./lib/version");
+
+},{"./lib/CDigraph":30,"./lib/CGraph":31,"./lib/Digraph":32,"./lib/Graph":33,"./lib/alg/components":34,"./lib/alg/dijkstra":35,"./lib/alg/dijkstraAll":36,"./lib/alg/findCycles":37,"./lib/alg/floydWarshall":38,"./lib/alg/isAcyclic":39,"./lib/alg/postorder":40,"./lib/alg/preorder":41,"./lib/alg/prim":42,"./lib/alg/tarjan":43,"./lib/alg/topsort":44,"./lib/converter/json.js":46,"./lib/filter":47,"./lib/graph-converters":48,"./lib/version":50}],29:[function(require,module,exports){
+/* jshint -W079 */
+var Set = require("cp-data").Set;
+/* jshint +W079 */
+
+module.exports = BaseGraph;
+
+function BaseGraph() {
+ // The value assigned to the graph itself.
+ this._value = undefined;
+
+ // Map of node id -> { id, value }
+ this._nodes = {};
+
+ // Map of edge id -> { id, u, v, value }
+ this._edges = {};
+
+ // Used to generate a unique id in the graph
+ this._nextId = 0;
+}
+
+// Number of nodes
+BaseGraph.prototype.order = function() {
+ return Object.keys(this._nodes).length;
+};
+
+// Number of edges
+BaseGraph.prototype.size = function() {
+ return Object.keys(this._edges).length;
+};
+
+// Accessor for graph level value
+BaseGraph.prototype.graph = function(value) {
+ if (arguments.length === 0) {
+ return this._value;
+ }
+ this._value = value;
+};
+
+BaseGraph.prototype.hasNode = function(u) {
+ return u in this._nodes;
+};
+
+BaseGraph.prototype.node = function(u, value) {
+ var node = this._strictGetNode(u);
+ if (arguments.length === 1) {
+ return node.value;
+ }
+ node.value = value;
+};
+
+BaseGraph.prototype.nodes = function() {
+ var nodes = [];
+ this.eachNode(function(id) { nodes.push(id); });
+ return nodes;
+};
+
+BaseGraph.prototype.eachNode = function(func) {
+ for (var k in this._nodes) {
+ var node = this._nodes[k];
+ func(node.id, node.value);
+ }
+};
+
+BaseGraph.prototype.hasEdge = function(e) {
+ return e in this._edges;
+};
+
+BaseGraph.prototype.edge = function(e, value) {
+ var edge = this._strictGetEdge(e);
+ if (arguments.length === 1) {
+ return edge.value;
+ }
+ edge.value = value;
+};
+
+BaseGraph.prototype.edges = function() {
+ var es = [];
+ this.eachEdge(function(id) { es.push(id); });
+ return es;
+};
+
+BaseGraph.prototype.eachEdge = function(func) {
+ for (var k in this._edges) {
+ var edge = this._edges[k];
+ func(edge.id, edge.u, edge.v, edge.value);
+ }
+};
+
+BaseGraph.prototype.incidentNodes = function(e) {
+ var edge = this._strictGetEdge(e);
+ return [edge.u, edge.v];
+};
+
+BaseGraph.prototype.addNode = function(u, value) {
+ if (u === undefined || u === null) {
+ do {
+ u = "_" + (++this._nextId);
+ } while (this.hasNode(u));
+ } else if (this.hasNode(u)) {
+ throw new Error("Graph already has node '" + u + "'");
+ }
+ this._nodes[u] = { id: u, value: value };
+ return u;
+};
+
+BaseGraph.prototype.delNode = function(u) {
+ this._strictGetNode(u);
+ this.incidentEdges(u).forEach(function(e) { this.delEdge(e); }, this);
+ delete this._nodes[u];
+};
+
+// inMap and outMap are opposite sides of an incidence map. For example, for
+// Graph these would both come from the _incidentEdges map, while for Digraph
+// they would come from _inEdges and _outEdges.
+BaseGraph.prototype._addEdge = function(e, u, v, value, inMap, outMap) {
+ this._strictGetNode(u);
+ this._strictGetNode(v);
+
+ if (e === undefined || e === null) {
+ do {
+ e = "_" + (++this._nextId);
+ } while (this.hasEdge(e));
+ }
+ else if (this.hasEdge(e)) {
+ throw new Error("Graph already has edge '" + e + "'");
+ }
+
+ this._edges[e] = { id: e, u: u, v: v, value: value };
+ addEdgeToMap(inMap[v], u, e);
+ addEdgeToMap(outMap[u], v, e);
+
+ return e;
+};
+
+// See note for _addEdge regarding inMap and outMap.
+BaseGraph.prototype._delEdge = function(e, inMap, outMap) {
+ var edge = this._strictGetEdge(e);
+ delEdgeFromMap(inMap[edge.v], edge.u, e);
+ delEdgeFromMap(outMap[edge.u], edge.v, e);
+ delete this._edges[e];
+};
+
+BaseGraph.prototype.copy = function() {
+ var copy = new this.constructor();
+ copy.graph(this.graph());
+ this.eachNode(function(u, value) { copy.addNode(u, value); });
+ this.eachEdge(function(e, u, v, value) { copy.addEdge(e, u, v, value); });
+ copy._nextId = this._nextId;
+ return copy;
+};
+
+BaseGraph.prototype.filterNodes = function(filter) {
+ var copy = new this.constructor();
+ copy.graph(this.graph());
+ this.eachNode(function(u, value) {
+ if (filter(u)) {
+ copy.addNode(u, value);
+ }
+ });
+ this.eachEdge(function(e, u, v, value) {
+ if (copy.hasNode(u) && copy.hasNode(v)) {
+ copy.addEdge(e, u, v, value);
+ }
+ });
+ return copy;
+};
+
+BaseGraph.prototype._strictGetNode = function(u) {
+ var node = this._nodes[u];
+ if (node === undefined) {
+ throw new Error("Node '" + u + "' is not in graph");
+ }
+ return node;
+};
+
+BaseGraph.prototype._strictGetEdge = function(e) {
+ var edge = this._edges[e];
+ if (edge === undefined) {
+ throw new Error("Edge '" + e + "' is not in graph");
+ }
+ return edge;
+};
+
+function addEdgeToMap(map, v, e) {
+ (map[v] || (map[v] = new Set())).add(e);
+}
+
+function delEdgeFromMap(map, v, e) {
+ var vEntry = map[v];
+ vEntry.remove(e);
+ if (vEntry.size() === 0) {
+ delete map[v];
+ }
+}
+
+
+},{"cp-data":5}],30:[function(require,module,exports){
+var Digraph = require("./Digraph"),
+ compoundify = require("./compoundify");
+
+var CDigraph = compoundify(Digraph);
+
+module.exports = CDigraph;
+
+CDigraph.fromDigraph = function(src) {
+ var g = new CDigraph(),
+ graphValue = src.graph();
+
+ if (graphValue !== undefined) {
+ g.graph(graphValue);
+ }
+
+ src.eachNode(function(u, value) {
+ if (value === undefined) {
+ g.addNode(u);
+ } else {
+ g.addNode(u, value);
+ }
+ });
+ src.eachEdge(function(e, u, v, value) {
+ if (value === undefined) {
+ g.addEdge(null, u, v);
+ } else {
+ g.addEdge(null, u, v, value);
+ }
+ });
+ return g;
+};
+
+CDigraph.prototype.toString = function() {
+ return "CDigraph " + JSON.stringify(this, null, 2);
+};
+
+},{"./Digraph":32,"./compoundify":45}],31:[function(require,module,exports){
+var Graph = require("./Graph"),
+ compoundify = require("./compoundify");
+
+var CGraph = compoundify(Graph);
+
+module.exports = CGraph;
+
+CGraph.fromGraph = function(src) {
+ var g = new CGraph(),
+ graphValue = src.graph();
+
+ if (graphValue !== undefined) {
+ g.graph(graphValue);
+ }
+
+ src.eachNode(function(u, value) {
+ if (value === undefined) {
+ g.addNode(u);
+ } else {
+ g.addNode(u, value);
+ }
+ });
+ src.eachEdge(function(e, u, v, value) {
+ if (value === undefined) {
+ g.addEdge(null, u, v);
+ } else {
+ g.addEdge(null, u, v, value);
+ }
+ });
+ return g;
+};
+
+CGraph.prototype.toString = function() {
+ return "CGraph " + JSON.stringify(this, null, 2);
+};
+
+},{"./Graph":33,"./compoundify":45}],32:[function(require,module,exports){
+/*
+ * This file is organized with in the following order:
+ *
+ * Exports
+ * Graph constructors
+ * Graph queries (e.g. nodes(), edges()
+ * Graph mutators
+ * Helper functions
+ */
+
+var util = require("./util"),
+ BaseGraph = require("./BaseGraph"),
+/* jshint -W079 */
+ Set = require("cp-data").Set;
+/* jshint +W079 */
+
+module.exports = Digraph;
+
+/*
+ * Constructor to create a new directed multi-graph.
+ */
+function Digraph() {
+ BaseGraph.call(this);
+
+ /*! Map of sourceId -> {targetId -> Set of edge ids} */
+ this._inEdges = {};
+
+ /*! Map of targetId -> {sourceId -> Set of edge ids} */
+ this._outEdges = {};
+}
+
+Digraph.prototype = new BaseGraph();
+Digraph.prototype.constructor = Digraph;
+
+/*
+ * Always returns `true`.
+ */
+Digraph.prototype.isDirected = function() {
+ return true;
+};
+
+/*
+ * Returns all successors of the node with the id `u`. That is, all nodes
+ * that have the node `u` as their source are returned.
+ *
+ * If no node `u` exists in the graph this function throws an Error.
+ *
+ * @param {String} u a node id
+ */
+Digraph.prototype.successors = function(u) {
+ this._strictGetNode(u);
+ return Object.keys(this._outEdges[u])
+ .map(function(v) { return this._nodes[v].id; }, this);
+};
+
+/*
+ * Returns all predecessors of the node with the id `u`. That is, all nodes
+ * that have the node `u` as their target are returned.
+ *
+ * If no node `u` exists in the graph this function throws an Error.
+ *
+ * @param {String} u a node id
+ */
+Digraph.prototype.predecessors = function(u) {
+ this._strictGetNode(u);
+ return Object.keys(this._inEdges[u])
+ .map(function(v) { return this._nodes[v].id; }, this);
+};
+
+/*
+ * Returns all nodes that are adjacent to the node with the id `u`. In other
+ * words, this function returns the set of all successors and predecessors of
+ * node `u`.
+ *
+ * @param {String} u a node id
+ */
+Digraph.prototype.neighbors = function(u) {
+ return Set.union([this.successors(u), this.predecessors(u)]).keys();
+};
+
+/*
+ * Returns all nodes in the graph that have no in-edges.
+ */
+Digraph.prototype.sources = function() {
+ var self = this;
+ return this._filterNodes(function(u) {
+ // This could have better space characteristics if we had an inDegree function.
+ return self.inEdges(u).length === 0;
+ });
+};
+
+/*
+ * Returns all nodes in the graph that have no out-edges.
+ */
+Digraph.prototype.sinks = function() {
+ var self = this;
+ return this._filterNodes(function(u) {
+ // This could have better space characteristics if we have an outDegree function.
+ return self.outEdges(u).length === 0;
+ });
+};
+
+/*
+ * Returns the source node incident on the edge identified by the id `e`. If no
+ * such edge exists in the graph this function throws an Error.
+ *
+ * @param {String} e an edge id
+ */
+Digraph.prototype.source = function(e) {
+ return this._strictGetEdge(e).u;
+};
+
+/*
+ * Returns the target node incident on the edge identified by the id `e`. If no
+ * such edge exists in the graph this function throws an Error.
+ *
+ * @param {String} e an edge id
+ */
+Digraph.prototype.target = function(e) {
+ return this._strictGetEdge(e).v;
+};
+
+/*
+ * Returns an array of ids for all edges in the graph that have the node
+ * `target` as their target. If the node `target` is not in the graph this
+ * function raises an Error.
+ *
+ * Optionally a `source` node can also be specified. This causes the results
+ * to be filtered such that only edges from `source` to `target` are included.
+ * If the node `source` is specified but is not in the graph then this function
+ * raises an Error.
+ *
+ * @param {String} target the target node id
+ * @param {String} [source] an optional source node id
+ */
+Digraph.prototype.inEdges = function(target, source) {
+ this._strictGetNode(target);
+ var results = Set.union(util.values(this._inEdges[target])).keys();
+ if (arguments.length > 1) {
+ this._strictGetNode(source);
+ results = results.filter(function(e) { return this.source(e) === source; }, this);
+ }
+ return results;
+};
+
+/*
+ * Returns an array of ids for all edges in the graph that have the node
+ * `source` as their source. If the node `source` is not in the graph this
+ * function raises an Error.
+ *
+ * Optionally a `target` node may also be specified. This causes the results
+ * to be filtered such that only edges from `source` to `target` are included.
+ * If the node `target` is specified but is not in the graph then this function
+ * raises an Error.
+ *
+ * @param {String} source the source node id
+ * @param {String} [target] an optional target node id
+ */
+Digraph.prototype.outEdges = function(source, target) {
+ this._strictGetNode(source);
+ var results = Set.union(util.values(this._outEdges[source])).keys();
+ if (arguments.length > 1) {
+ this._strictGetNode(target);
+ results = results.filter(function(e) { return this.target(e) === target; }, this);
+ }
+ return results;
+};
+
+/*
+ * Returns an array of ids for all edges in the graph that have the `u` as
+ * their source or their target. If the node `u` is not in the graph this
+ * function raises an Error.
+ *
+ * Optionally a `v` node may also be specified. This causes the results to be
+ * filtered such that only edges between `u` and `v` - in either direction -
+ * are included. IF the node `v` is specified but not in the graph then this
+ * function raises an Error.
+ *
+ * @param {String} u the node for which to find incident edges
+ * @param {String} [v] option node that must be adjacent to `u`
+ */
+Digraph.prototype.incidentEdges = function(u, v) {
+ if (arguments.length > 1) {
+ return Set.union([this.outEdges(u, v), this.outEdges(v, u)]).keys();
+ } else {
+ return Set.union([this.inEdges(u), this.outEdges(u)]).keys();
+ }
+};
+
+/*
+ * Returns a string representation of this graph.
+ */
+Digraph.prototype.toString = function() {
+ return "Digraph " + JSON.stringify(this, null, 2);
+};
+
+/*
+ * Adds a new node with the id `u` to the graph and assigns it the value
+ * `value`. If a node with the id is already a part of the graph this function
+ * throws an Error.
+ *
+ * @param {String} u a node id
+ * @param {Object} [value] an optional value to attach to the node
+ */
+Digraph.prototype.addNode = function(u, value) {
+ u = BaseGraph.prototype.addNode.call(this, u, value);
+ this._inEdges[u] = {};
+ this._outEdges[u] = {};
+ return u;
+};
+
+/*
+ * Removes a node from the graph that has the id `u`. Any edges incident on the
+ * node are also removed. If the graph does not contain a node with the id this
+ * function will throw an Error.
+ *
+ * @param {String} u a node id
+ */
+Digraph.prototype.delNode = function(u) {
+ BaseGraph.prototype.delNode.call(this, u);
+ delete this._inEdges[u];
+ delete this._outEdges[u];
+};
+
+/*
+ * Adds a new edge to the graph with the id `e` from a node with the id `source`
+ * to a node with an id `target` and assigns it the value `value`. This graph
+ * allows more than one edge from `source` to `target` as long as the id `e`
+ * is unique in the set of edges. If `e` is `null` the graph will assign a
+ * unique identifier to the edge.
+ *
+ * If `source` or `target` are not present in the graph this function will
+ * throw an Error.
+ *
+ * @param {String} [e] an edge id
+ * @param {String} source the source node id
+ * @param {String} target the target node id
+ * @param {Object} [value] an optional value to attach to the edge
+ */
+Digraph.prototype.addEdge = function(e, source, target, value) {
+ return BaseGraph.prototype._addEdge.call(this, e, source, target, value,
+ this._inEdges, this._outEdges);
+};
+
+/*
+ * Removes an edge in the graph with the id `e`. If no edge in the graph has
+ * the id `e` this function will throw an Error.
+ *
+ * @param {String} e an edge id
+ */
+Digraph.prototype.delEdge = function(e) {
+ BaseGraph.prototype._delEdge.call(this, e, this._inEdges, this._outEdges);
+};
+
+// Unlike BaseGraph.filterNodes, this helper just returns nodes that
+// satisfy a predicate.
+Digraph.prototype._filterNodes = function(pred) {
+ var filtered = [];
+ this.eachNode(function(u) {
+ if (pred(u)) {
+ filtered.push(u);
+ }
+ });
+ return filtered;
+};
+
+
+},{"./BaseGraph":29,"./util":49,"cp-data":5}],33:[function(require,module,exports){
+/*
+ * This file is organized with in the following order:
+ *
+ * Exports
+ * Graph constructors
+ * Graph queries (e.g. nodes(), edges()
+ * Graph mutators
+ * Helper functions
+ */
+
+var util = require("./util"),
+ BaseGraph = require("./BaseGraph"),
+/* jshint -W079 */
+ Set = require("cp-data").Set;
+/* jshint +W079 */
+
+module.exports = Graph;
+
+/*
+ * Constructor to create a new undirected multi-graph.
+ */
+function Graph() {
+ BaseGraph.call(this);
+
+ /*! Map of nodeId -> { otherNodeId -> Set of edge ids } */
+ this._incidentEdges = {};
+}
+
+Graph.prototype = new BaseGraph();
+Graph.prototype.constructor = Graph;
+
+/*
+ * Always returns `false`.
+ */
+Graph.prototype.isDirected = function() {
+ return false;
+};
+
+/*
+ * Returns all nodes that are adjacent to the node with the id `u`.
+ *
+ * @param {String} u a node id
+ */
+Graph.prototype.neighbors = function(u) {
+ this._strictGetNode(u);
+ return Object.keys(this._incidentEdges[u])
+ .map(function(v) { return this._nodes[v].id; }, this);
+};
+
+/*
+ * Returns an array of ids for all edges in the graph that are incident on `u`.
+ * If the node `u` is not in the graph this function raises an Error.
+ *
+ * Optionally a `v` node may also be specified. This causes the results to be
+ * filtered such that only edges between `u` and `v` are included. If the node
+ * `v` is specified but not in the graph then this function raises an Error.
+ *
+ * @param {String} u the node for which to find incident edges
+ * @param {String} [v] option node that must be adjacent to `u`
+ */
+Graph.prototype.incidentEdges = function(u, v) {
+ this._strictGetNode(u);
+ if (arguments.length > 1) {
+ this._strictGetNode(v);
+ return v in this._incidentEdges[u] ? this._incidentEdges[u][v].keys() : [];
+ } else {
+ return Set.union(util.values(this._incidentEdges[u])).keys();
+ }
+};
+
+/*
+ * Returns a string representation of this graph.
+ */
+Graph.prototype.toString = function() {
+ return "Graph " + JSON.stringify(this, null, 2);
+};
+
+/*
+ * Adds a new node with the id `u` to the graph and assigns it the value
+ * `value`. If a node with the id is already a part of the graph this function
+ * throws an Error.
+ *
+ * @param {String} u a node id
+ * @param {Object} [value] an optional value to attach to the node
+ */
+Graph.prototype.addNode = function(u, value) {
+ u = BaseGraph.prototype.addNode.call(this, u, value);
+ this._incidentEdges[u] = {};
+ return u;
+};
+
+/*
+ * Removes a node from the graph that has the id `u`. Any edges incident on the
+ * node are also removed. If the graph does not contain a node with the id this
+ * function will throw an Error.
+ *
+ * @param {String} u a node id
+ */
+Graph.prototype.delNode = function(u) {
+ BaseGraph.prototype.delNode.call(this, u);
+ delete this._incidentEdges[u];
+};
+
+/*
+ * Adds a new edge to the graph with the id `e` between a node with the id `u`
+ * and a node with an id `v` and assigns it the value `value`. This graph
+ * allows more than one edge between `u` and `v` as long as the id `e`
+ * is unique in the set of edges. If `e` is `null` the graph will assign a
+ * unique identifier to the edge.
+ *
+ * If `u` or `v` are not present in the graph this function will throw an
+ * Error.
+ *
+ * @param {String} [e] an edge id
+ * @param {String} u the node id of one of the adjacent nodes
+ * @param {String} v the node id of the other adjacent node
+ * @param {Object} [value] an optional value to attach to the edge
+ */
+Graph.prototype.addEdge = function(e, u, v, value) {
+ return BaseGraph.prototype._addEdge.call(this, e, u, v, value,
+ this._incidentEdges, this._incidentEdges);
+};
+
+/*
+ * Removes an edge in the graph with the id `e`. If no edge in the graph has
+ * the id `e` this function will throw an Error.
+ *
+ * @param {String} e an edge id
+ */
+Graph.prototype.delEdge = function(e) {
+ BaseGraph.prototype._delEdge.call(this, e, this._incidentEdges, this._incidentEdges);
+};
+
+
+},{"./BaseGraph":29,"./util":49,"cp-data":5}],34:[function(require,module,exports){
+/* jshint -W079 */
+var Set = require("cp-data").Set;
+/* jshint +W079 */
+
+module.exports = components;
+
+/**
+ * Finds all [connected components][] in a graph and returns an array of these
+ * components. Each component is itself an array that contains the ids of nodes
+ * in the component.
+ *
+ * This function only works with undirected Graphs.
+ *
+ * [connected components]: http://en.wikipedia.org/wiki/Connected_component_(graph_theory)
+ *
+ * @param {Graph} g the graph to search for components
+ */
+function components(g) {
+ var results = [];
+ var visited = new Set();
+
+ function dfs(v, component) {
+ if (!visited.has(v)) {
+ visited.add(v);
+ component.push(v);
+ g.neighbors(v).forEach(function(w) {
+ dfs(w, component);
+ });
+ }
+ }
+
+ g.nodes().forEach(function(v) {
+ var component = [];
+ dfs(v, component);
+ if (component.length > 0) {
+ results.push(component);
+ }
+ });
+
+ return results;
+}
+
+},{"cp-data":5}],35:[function(require,module,exports){
+var PriorityQueue = require("cp-data").PriorityQueue;
+
+module.exports = dijkstra;
+
+/**
+ * This function is an implementation of [Dijkstra's algorithm][] which finds
+ * the shortest path from **source** to all other nodes in **g**. This
+ * function returns a map of `u -> { distance, predecessor }`. The distance
+ * property holds the sum of the weights from **source** to `u` along the
+ * shortest path or `Number.POSITIVE_INFINITY` if there is no path from
+ * **source**. The predecessor property can be used to walk the individual
+ * elements of the path from **source** to **u** in reverse order.
+ *
+ * This function takes an optional `weightFunc(e)` which returns the
+ * weight of the edge `e`. If no weightFunc is supplied then each edge is
+ * assumed to have a weight of 1. This function throws an Error if any of
+ * the traversed edges have a negative edge weight.
+ *
+ * This function takes an optional `incidentFunc(u)` which returns the ids of
+ * all edges incident to the node `u` for the purposes of shortest path
+ * traversal. By default this function uses the `g.outEdges` for Digraphs and
+ * `g.incidentEdges` for Graphs.
+ *
+ * This function takes `O((|E| + |V|) * log |V|)` time.
+ *
+ * [Dijkstra's algorithm]: http://en.wikipedia.org/wiki/Dijkstra%27s_algorithm
+ *
+ * @param {Graph} g the graph to search for shortest paths from **source**
+ * @param {Object} source the source from which to start the search
+ * @param {Function} [weightFunc] optional weight function
+ * @param {Function} [incidentFunc] optional incident function
+ */
+function dijkstra(g, source, weightFunc, incidentFunc) {
+ var results = {},
+ pq = new PriorityQueue();
+
+ function updateNeighbors(e) {
+ var incidentNodes = g.incidentNodes(e),
+ v = incidentNodes[0] !== u ? incidentNodes[0] : incidentNodes[1],
+ vEntry = results[v],
+ weight = weightFunc(e),
+ distance = uEntry.distance + weight;
+
+ if (weight < 0) {
+ throw new Error("dijkstra does not allow negative edge weights. Bad edge: " + e + " Weight: " + weight);
+ }
+
+ if (distance < vEntry.distance) {
+ vEntry.distance = distance;
+ vEntry.predecessor = u;
+ pq.decrease(v, distance);
+ }
+ }
+
+ weightFunc = weightFunc || function() { return 1; };
+ incidentFunc = incidentFunc || (g.isDirected()
+ ? function(u) { return g.outEdges(u); }
+ : function(u) { return g.incidentEdges(u); });
+
+ g.eachNode(function(u) {
+ var distance = u === source ? 0 : Number.POSITIVE_INFINITY;
+ results[u] = { distance: distance };
+ pq.add(u, distance);
+ });
+
+ var u, uEntry;
+ while (pq.size() > 0) {
+ u = pq.removeMin();
+ uEntry = results[u];
+ if (uEntry.distance === Number.POSITIVE_INFINITY) {
+ break;
+ }
+
+ incidentFunc(u).forEach(updateNeighbors);
+ }
+
+ return results;
+}
+
+},{"cp-data":5}],36:[function(require,module,exports){
+var dijkstra = require("./dijkstra");
+
+module.exports = dijkstraAll;
+
+/**
+ * This function finds the shortest path from each node to every other
+ * reachable node in the graph. It is similar to [alg.dijkstra][], but
+ * instead of returning a single-source array, it returns a mapping of
+ * of `source -> alg.dijksta(g, source, weightFunc, incidentFunc)`.
+ *
+ * This function takes an optional `weightFunc(e)` which returns the
+ * weight of the edge `e`. If no weightFunc is supplied then each edge is
+ * assumed to have a weight of 1. This function throws an Error if any of
+ * the traversed edges have a negative edge weight.
+ *
+ * This function takes an optional `incidentFunc(u)` which returns the ids of
+ * all edges incident to the node `u` for the purposes of shortest path
+ * traversal. By default this function uses the `outEdges` function on the
+ * supplied graph.
+ *
+ * This function takes `O(|V| * (|E| + |V|) * log |V|)` time.
+ *
+ * [alg.dijkstra]: dijkstra.js.html#dijkstra
+ *
+ * @param {Graph} g the graph to search for shortest paths from **source**
+ * @param {Function} [weightFunc] optional weight function
+ * @param {Function} [incidentFunc] optional incident function
+ */
+function dijkstraAll(g, weightFunc, incidentFunc) {
+ var results = {};
+ g.eachNode(function(u) {
+ results[u] = dijkstra(g, u, weightFunc, incidentFunc);
+ });
+ return results;
+}
+
+},{"./dijkstra":35}],37:[function(require,module,exports){
+var tarjan = require("./tarjan");
+
+module.exports = findCycles;
+
+/*
+ * Given a Digraph **g** this function returns all nodes that are part of a
+ * cycle. Since there may be more than one cycle in a graph this function
+ * returns an array of these cycles, where each cycle is itself represented
+ * by an array of ids for each node involved in that cycle.
+ *
+ * [alg.isAcyclic][] is more efficient if you only need to determine whether
+ * a graph has a cycle or not.
+ *
+ * [alg.isAcyclic]: isAcyclic.js.html#isAcyclic
+ *
+ * @param {Digraph} g the graph to search for cycles.
+ */
+function findCycles(g) {
+ return tarjan(g).filter(function(cmpt) { return cmpt.length > 1; });
+}
+
+},{"./tarjan":43}],38:[function(require,module,exports){
+module.exports = floydWarshall;
+
+/**
+ * This function is an implementation of the [Floyd-Warshall algorithm][],
+ * which finds the shortest path from each node to every other reachable node
+ * in the graph. It is similar to [alg.dijkstraAll][], but it handles negative
+ * edge weights and is more efficient for some types of graphs. This function
+ * returns a map of `source -> { target -> { distance, predecessor }`. The
+ * distance property holds the sum of the weights from `source` to `target`
+ * along the shortest path of `Number.POSITIVE_INFINITY` if there is no path
+ * from `source`. The predecessor property can be used to walk the individual
+ * elements of the path from `source` to `target` in reverse order.
+ *
+ * This function takes an optional `weightFunc(e)` which returns the
+ * weight of the edge `e`. If no weightFunc is supplied then each edge is
+ * assumed to have a weight of 1.
+ *
+ * This function takes an optional `incidentFunc(u)` which returns the ids of
+ * all edges incident to the node `u` for the purposes of shortest path
+ * traversal. By default this function uses the `outEdges` function on the
+ * supplied graph.
+ *
+ * This algorithm takes O(|V|^3) time.
+ *
+ * [Floyd-Warshall algorithm]: https://en.wikipedia.org/wiki/Floyd-Warshall_algorithm
+ * [alg.dijkstraAll]: dijkstraAll.js.html#dijkstraAll
+ *
+ * @param {Graph} g the graph to search for shortest paths from **source**
+ * @param {Function} [weightFunc] optional weight function
+ * @param {Function} [incidentFunc] optional incident function
+ */
+function floydWarshall(g, weightFunc, incidentFunc) {
+ var results = {},
+ nodes = g.nodes();
+
+ weightFunc = weightFunc || function() { return 1; };
+ incidentFunc = incidentFunc || (g.isDirected()
+ ? function(u) { return g.outEdges(u); }
+ : function(u) { return g.incidentEdges(u); });
+
+ nodes.forEach(function(u) {
+ results[u] = {};
+ results[u][u] = { distance: 0 };
+ nodes.forEach(function(v) {
+ if (u !== v) {
+ results[u][v] = { distance: Number.POSITIVE_INFINITY };
+ }
+ });
+ incidentFunc(u).forEach(function(e) {
+ var incidentNodes = g.incidentNodes(e),
+ v = incidentNodes[0] !== u ? incidentNodes[0] : incidentNodes[1],
+ d = weightFunc(e);
+ if (d < results[u][v].distance) {
+ results[u][v] = { distance: d, predecessor: u };
+ }
+ });
+ });
+
+ nodes.forEach(function(k) {
+ var rowK = results[k];
+ nodes.forEach(function(i) {
+ var rowI = results[i];
+ nodes.forEach(function(j) {
+ var ik = rowI[k];
+ var kj = rowK[j];
+ var ij = rowI[j];
+ var altDistance = ik.distance + kj.distance;
+ if (altDistance < ij.distance) {
+ ij.distance = altDistance;
+ ij.predecessor = kj.predecessor;
+ }
+ });
+ });
+ });
+
+ return results;
+}
+
+},{}],39:[function(require,module,exports){
+var topsort = require("./topsort");
+
+module.exports = isAcyclic;
+
+/*
+ * Given a Digraph **g** this function returns `true` if the graph has no
+ * cycles and returns `false` if it does. This algorithm returns as soon as it
+ * detects the first cycle.
+ *
+ * Use [alg.findCycles][] if you need the actual list of cycles in a graph.
+ *
+ * [alg.findCycles]: findCycles.js.html#findCycles
+ *
+ * @param {Digraph} g the graph to test for cycles
+ */
+function isAcyclic(g) {
+ try {
+ topsort(g);
+ } catch (e) {
+ if (e instanceof topsort.CycleException) return false;
+ throw e;
+ }
+ return true;
+}
+
+},{"./topsort":44}],40:[function(require,module,exports){
+/* jshint -W079 */
+var Set = require("cp-data").Set;
+/* jshint +W079 */
+
+module.exports = postorder;
+
+// Postorder traversal of g, calling f for each visited node. Assumes the graph
+// is a tree.
+function postorder(g, root, f) {
+ var visited = new Set();
+ if (g.isDirected()) {
+ throw new Error("This function only works for undirected graphs");
+ }
+ function dfs(u, prev) {
+ if (visited.has(u)) {
+ throw new Error("The input graph is not a tree: " + g);
+ }
+ visited.add(u);
+ g.neighbors(u).forEach(function(v) {
+ if (v !== prev) dfs(v, u);
+ });
+ f(u);
+ }
+ dfs(root);
+}
+
+},{"cp-data":5}],41:[function(require,module,exports){
+/* jshint -W079 */
+var Set = require("cp-data").Set;
+/* jshint +W079 */
+
+module.exports = preorder;
+
+// Preorder traversal of g, calling f for each visited node. Assumes the graph
+// is a tree.
+function preorder(g, root, f) {
+ var visited = new Set();
+ if (g.isDirected()) {
+ throw new Error("This function only works for undirected graphs");
+ }
+ function dfs(u, prev) {
+ if (visited.has(u)) {
+ throw new Error("The input graph is not a tree: " + g);
+ }
+ visited.add(u);
+ f(u);
+ g.neighbors(u).forEach(function(v) {
+ if (v !== prev) dfs(v, u);
+ });
+ }
+ dfs(root);
+}
+
+},{"cp-data":5}],42:[function(require,module,exports){
+var Graph = require("../Graph"),
+ PriorityQueue = require("cp-data").PriorityQueue;
+
+module.exports = prim;
+
+/**
+ * [Prim's algorithm][] takes a connected undirected graph and generates a
+ * [minimum spanning tree][]. This function returns the minimum spanning
+ * tree as an undirected graph. This algorithm is derived from the description
+ * in "Introduction to Algorithms", Third Edition, Cormen, et al., Pg 634.
+ *
+ * This function takes a `weightFunc(e)` which returns the weight of the edge
+ * `e`. It throws an Error if the graph is not connected.
+ *
+ * This function takes `O(|E| log |V|)` time.
+ *
+ * [Prim's algorithm]: https://en.wikipedia.org/wiki/Prim's_algorithm
+ * [minimum spanning tree]: https://en.wikipedia.org/wiki/Minimum_spanning_tree
+ *
+ * @param {Graph} g the graph used to generate the minimum spanning tree
+ * @param {Function} weightFunc the weight function to use
+ */
+function prim(g, weightFunc) {
+ var result = new Graph(),
+ parents = {},
+ pq = new PriorityQueue(),
+ u;
+
+ function updateNeighbors(e) {
+ var incidentNodes = g.incidentNodes(e),
+ v = incidentNodes[0] !== u ? incidentNodes[0] : incidentNodes[1],
+ pri = pq.priority(v);
+ if (pri !== undefined) {
+ var edgeWeight = weightFunc(e);
+ if (edgeWeight < pri) {
+ parents[v] = u;
+ pq.decrease(v, edgeWeight);
+ }
+ }
+ }
+
+ if (g.order() === 0) {
+ return result;
+ }
+
+ g.eachNode(function(u) {
+ pq.add(u, Number.POSITIVE_INFINITY);
+ result.addNode(u);
+ });
+
+ // Start from an arbitrary node
+ pq.decrease(g.nodes()[0], 0);
+
+ var init = false;
+ while (pq.size() > 0) {
+ u = pq.removeMin();
+ if (u in parents) {
+ result.addEdge(null, u, parents[u]);
+ } else if (init) {
+ throw new Error("Input graph is not connected: " + g);
+ } else {
+ init = true;
+ }
+
+ g.incidentEdges(u).forEach(updateNeighbors);
+ }
+
+ return result;
+}
+
+},{"../Graph":33,"cp-data":5}],43:[function(require,module,exports){
+module.exports = tarjan;
+
+/**
+ * This function is an implementation of [Tarjan's algorithm][] which finds
+ * all [strongly connected components][] in the directed graph **g**. Each
+ * strongly connected component is composed of nodes that can reach all other
+ * nodes in the component via directed edges. A strongly connected component
+ * can consist of a single node if that node cannot both reach and be reached
+ * by any other specific node in the graph. Components of more than one node
+ * are guaranteed to have at least one cycle.
+ *
+ * This function returns an array of components. Each component is itself an
+ * array that contains the ids of all nodes in the component.
+ *
+ * [Tarjan's algorithm]: http://en.wikipedia.org/wiki/Tarjan's_strongly_connected_components_algorithm
+ * [strongly connected components]: http://en.wikipedia.org/wiki/Strongly_connected_component
+ *
+ * @param {Digraph} g the graph to search for strongly connected components
+ */
+function tarjan(g) {
+ if (!g.isDirected()) {
+ throw new Error("tarjan can only be applied to a directed graph. Bad input: " + g);
+ }
+
+ var index = 0,
+ stack = [],
+ visited = {}, // node id -> { onStack, lowlink, index }
+ results = [];
+
+ function dfs(u) {
+ var entry = visited[u] = {
+ onStack: true,
+ lowlink: index,
+ index: index++
+ };
+ stack.push(u);
+
+ g.successors(u).forEach(function(v) {
+ if (!(v in visited)) {
+ dfs(v);
+ entry.lowlink = Math.min(entry.lowlink, visited[v].lowlink);
+ } else if (visited[v].onStack) {
+ entry.lowlink = Math.min(entry.lowlink, visited[v].index);
+ }
+ });
+
+ if (entry.lowlink === entry.index) {
+ var cmpt = [],
+ v;
+ do {
+ v = stack.pop();
+ visited[v].onStack = false;
+ cmpt.push(v);
+ } while (u !== v);
+ results.push(cmpt);
+ }
+ }
+
+ g.nodes().forEach(function(u) {
+ if (!(u in visited)) {
+ dfs(u);
+ }
+ });
+
+ return results;
+}
+
+},{}],44:[function(require,module,exports){
+module.exports = topsort;
+topsort.CycleException = CycleException;
+
+/*
+ * Given a graph **g**, this function returns an ordered list of nodes such
+ * that for each edge `u -> v`, `u` appears before `v` in the list. If the
+ * graph has a cycle it is impossible to generate such a list and
+ * **CycleException** is thrown.
+ *
+ * See [topological sorting](https://en.wikipedia.org/wiki/Topological_sorting)
+ * for more details about how this algorithm works.
+ *
+ * @param {Digraph} g the graph to sort
+ */
+function topsort(g) {
+ if (!g.isDirected()) {
+ throw new Error("topsort can only be applied to a directed graph. Bad input: " + g);
+ }
+
+ var visited = {};
+ var stack = {};
+ var results = [];
+
+ function visit(node) {
+ if (node in stack) {
+ throw new CycleException();
+ }
+
+ if (!(node in visited)) {
+ stack[node] = true;
+ visited[node] = true;
+ g.predecessors(node).forEach(function(pred) {
+ visit(pred);
+ });
+ delete stack[node];
+ results.push(node);
+ }
+ }
+
+ var sinks = g.sinks();
+ if (g.order() !== 0 && sinks.length === 0) {
+ throw new CycleException();
+ }
+
+ g.sinks().forEach(function(sink) {
+ visit(sink);
+ });
+
+ return results;
+}
+
+function CycleException() {}
+
+CycleException.prototype.toString = function() {
+ return "Graph has at least one cycle";
+};
+
+},{}],45:[function(require,module,exports){
+// This file provides a helper function that mixes-in Dot behavior to an
+// existing graph prototype.
+
+/* jshint -W079 */
+var Set = require("cp-data").Set;
+/* jshint +W079 */
+
+module.exports = compoundify;
+
+// Extends the given SuperConstructor with the ability for nodes to contain
+// other nodes. A special node id `null` is used to indicate the root graph.
+function compoundify(SuperConstructor) {
+ function Constructor() {
+ SuperConstructor.call(this);
+
+ // Map of object id -> parent id (or null for root graph)
+ this._parents = {};
+
+ // Map of id (or null) -> children set
+ this._children = {};
+ this._children[null] = new Set();
+ }
+
+ Constructor.prototype = new SuperConstructor();
+ Constructor.prototype.constructor = Constructor;
+
+ Constructor.prototype.parent = function(u, parent) {
+ this._strictGetNode(u);
+
+ if (arguments.length < 2) {
+ return this._parents[u];
+ }
+
+ if (u === parent) {
+ throw new Error("Cannot make " + u + " a parent of itself");
+ }
+ if (parent !== null) {
+ this._strictGetNode(parent);
+ }
+
+ this._children[this._parents[u]].remove(u);
+ this._parents[u] = parent;
+ this._children[parent].add(u);
+ };
+
+ Constructor.prototype.children = function(u) {
+ if (u !== null) {
+ this._strictGetNode(u);
+ }
+ return this._children[u].keys();
+ };
+
+ Constructor.prototype.addNode = function(u, value) {
+ u = SuperConstructor.prototype.addNode.call(this, u, value);
+ this._parents[u] = null;
+ this._children[u] = new Set();
+ this._children[null].add(u);
+ return u;
+ };
+
+ Constructor.prototype.delNode = function(u) {
+ // Promote all children to the parent of the subgraph
+ var parent = this.parent(u);
+ this._children[u].keys().forEach(function(child) {
+ this.parent(child, parent);
+ }, this);
+
+ this._children[parent].remove(u);
+ delete this._parents[u];
+ delete this._children[u];
+
+ return SuperConstructor.prototype.delNode.call(this, u);
+ };
+
+ Constructor.prototype.copy = function() {
+ var copy = SuperConstructor.prototype.copy.call(this);
+ this.nodes().forEach(function(u) {
+ copy.parent(u, this.parent(u));
+ }, this);
+ return copy;
+ };
+
+ Constructor.prototype.filterNodes = function(filter) {
+ var self = this,
+ copy = SuperConstructor.prototype.filterNodes.call(this, filter);
+
+ var parents = {};
+ function findParent(u) {
+ var parent = self.parent(u);
+ if (parent === null || copy.hasNode(parent)) {
+ parents[u] = parent;
+ return parent;
+ } else if (parent in parents) {
+ return parents[parent];
+ } else {
+ return findParent(parent);
+ }
+ }
+
+ copy.eachNode(function(u) { copy.parent(u, findParent(u)); });
+
+ return copy;
+ };
+
+ return Constructor;
+}
+
+},{"cp-data":5}],46:[function(require,module,exports){
+var Graph = require("../Graph"),
+ Digraph = require("../Digraph"),
+ CGraph = require("../CGraph"),
+ CDigraph = require("../CDigraph");
+
+exports.decode = function(nodes, edges, Ctor) {
+ Ctor = Ctor || Digraph;
+
+ if (typeOf(nodes) !== "Array") {
+ throw new Error("nodes is not an Array");
+ }
+
+ if (typeOf(edges) !== "Array") {
+ throw new Error("edges is not an Array");
+ }
+
+ if (typeof Ctor === "string") {
+ switch(Ctor) {
+ case "graph": Ctor = Graph; break;
+ case "digraph": Ctor = Digraph; break;
+ case "cgraph": Ctor = CGraph; break;
+ case "cdigraph": Ctor = CDigraph; break;
+ default: throw new Error("Unrecognized graph type: " + Ctor);
+ }
+ }
+
+ var graph = new Ctor();
+
+ nodes.forEach(function(u) {
+ graph.addNode(u.id, u.value);
+ });
+
+ // If the graph is compound, set up children...
+ if (graph.parent) {
+ nodes.forEach(function(u) {
+ if (u.children) {
+ u.children.forEach(function(v) {
+ graph.parent(v, u.id);
+ });
+ }
+ });
+ }
+
+ edges.forEach(function(e) {
+ graph.addEdge(e.id, e.u, e.v, e.value);
+ });
+
+ return graph;
+};
+
+exports.encode = function(graph) {
+ var nodes = [];
+ var edges = [];
+
+ graph.eachNode(function(u, value) {
+ var node = {id: u, value: value};
+ if (graph.children) {
+ var children = graph.children(u);
+ if (children.length) {
+ node.children = children;
+ }
+ }
+ nodes.push(node);
+ });
+
+ graph.eachEdge(function(e, u, v, value) {
+ edges.push({id: e, u: u, v: v, value: value});
+ });
+
+ var type;
+ if (graph instanceof CDigraph) {
+ type = "cdigraph";
+ } else if (graph instanceof CGraph) {
+ type = "cgraph";
+ } else if (graph instanceof Digraph) {
+ type = "digraph";
+ } else if (graph instanceof Graph) {
+ type = "graph";
+ } else {
+ throw new Error("Couldn't determine type of graph: " + graph);
+ }
+
+ return { nodes: nodes, edges: edges, type: type };
+};
+
+function typeOf(obj) {
+ return Object.prototype.toString.call(obj).slice(8, -1);
+}
+
+},{"../CDigraph":30,"../CGraph":31,"../Digraph":32,"../Graph":33}],47:[function(require,module,exports){
+/* jshint -W079 */
+var Set = require("cp-data").Set;
+/* jshint +W079 */
+
+exports.all = function() {
+ return function() { return true; };
+};
+
+exports.nodesFromList = function(nodes) {
+ var set = new Set(nodes);
+ return function(u) {
+ return set.has(u);
+ };
+};
+
+},{"cp-data":5}],48:[function(require,module,exports){
+var Graph = require("./Graph"),
+ Digraph = require("./Digraph");
+
+// Side-effect based changes are lousy, but node doesn't seem to resolve the
+// requires cycle.
+
+/**
+ * Returns a new directed graph using the nodes and edges from this graph. The
+ * new graph will have the same nodes, but will have twice the number of edges:
+ * each edge is split into two edges with opposite directions. Edge ids,
+ * consequently, are not preserved by this transformation.
+ */
+Graph.prototype.toDigraph =
+Graph.prototype.asDirected = function() {
+ var g = new Digraph();
+ this.eachNode(function(u, value) { g.addNode(u, value); });
+ this.eachEdge(function(e, u, v, value) {
+ g.addEdge(null, u, v, value);
+ g.addEdge(null, v, u, value);
+ });
+ return g;
+};
+
+/**
+ * Returns a new undirected graph using the nodes and edges from this graph.
+ * The new graph will have the same nodes, but the edges will be made
+ * undirected. Edge ids are preserved in this transformation.
+ */
+Digraph.prototype.toGraph =
+Digraph.prototype.asUndirected = function() {
+ var g = new Graph();
+ this.eachNode(function(u, value) { g.addNode(u, value); });
+ this.eachEdge(function(e, u, v, value) {
+ g.addEdge(e, u, v, value);
+ });
+ return g;
+};
+
+},{"./Digraph":32,"./Graph":33}],49:[function(require,module,exports){
+// Returns an array of all values for properties of **o**.
+exports.values = function(o) {
+ var ks = Object.keys(o),
+ len = ks.length,
+ result = new Array(len),
+ i;
+ for (i = 0; i < len; ++i) {
+ result[i] = o[ks[i]];
+ }
+ return result;
+};
+
+},{}],50:[function(require,module,exports){
+module.exports = '0.7.4';
+
+},{}]},{},[1])
+;
\ No newline at end of file