(function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.graphlib=f()}})(function(){var define,module,exports;return function(){function r(e,n,t){function o(i,f){if(!n[i]){if(!e[i]){var c="function"==typeof require&&require;if(!f&&c)return c(i,!0);if(u)return u(i,!0);var a=new Error("Cannot find module '"+i+"'");throw a.code="MODULE_NOT_FOUND",a}var p=n[i]={exports:{}};e[i][0].call(p.exports,function(r){var n=e[i][1][r];return o(n||r)},p,p.exports,r,e,n,t)}return n[i].exports}for(var u="function"==typeof require&&require,i=0;i0){v=pq.removeMin();vEntry=results[v];if(vEntry.distance===Number.POSITIVE_INFINITY){break}edgeFn(v).forEach(updateNeighbors)}return results}},{"../data/priority-queue":15,"../lodash":19}],6:[function(require,module,exports){var _=require("../lodash");var tarjan=require("./tarjan");module.exports=findCycles;function findCycles(g){return _.filter(tarjan(g),function(cmpt){return cmpt.length>1||cmpt.length===1&&g.hasEdge(cmpt[0],cmpt[0])})}},{"../lodash":19,"./tarjan":13}],7:[function(require,module,exports){var _=require("../lodash");module.exports=floydWarshall;var DEFAULT_WEIGHT_FUNC=_.constant(1);function floydWarshall(g,weightFn,edgeFn){return runFloydWarshall(g,weightFn||DEFAULT_WEIGHT_FUNC,edgeFn||function(v){return g.outEdges(v)})}function runFloydWarshall(g,weightFn,edgeFn){var results={};var nodes=g.nodes();nodes.forEach(function(v){results[v]={};results[v][v]={distance:0};nodes.forEach(function(w){if(v!==w){results[v][w]={distance:Number.POSITIVE_INFINITY}}});edgeFn(v).forEach(function(edge){var w=edge.v===v?edge.w:edge.v;var d=weightFn(edge);results[v][w]={distance:d,predecessor:v}})});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(altDistance0){v=pq.removeMin();if(_.has(parents,v)){result.setEdge(v,parents[v])}else if(init){throw new Error("Input graph is not connected: "+g)}else{init=true}g.nodeEdges(v).forEach(updateNeighbors)}return result}},{"../data/priority-queue":15,"../graph":16,"../lodash":19}],13:[function(require,module,exports){var _=require("../lodash");module.exports=tarjan;function tarjan(g){var index=0;var stack=[];var visited={};// node id -> { onStack, lowlink, index } var results=[];function dfs(v){var entry=visited[v]={onStack:true,lowlink:index,index:index++};stack.push(v);g.successors(v).forEach(function(w){if(!_.has(visited,w)){dfs(w);entry.lowlink=Math.min(entry.lowlink,visited[w].lowlink)}else if(visited[w].onStack){entry.lowlink=Math.min(entry.lowlink,visited[w].index)}});if(entry.lowlink===entry.index){var cmpt=[];var w;do{w=stack.pop();visited[w].onStack=false;cmpt.push(w)}while(v!==w);results.push(cmpt)}}g.nodes().forEach(function(v){if(!_.has(visited,v)){dfs(v)}});return results}},{"../lodash":19}],14:[function(require,module,exports){var _=require("../lodash");module.exports=topsort;topsort.CycleException=CycleException;function topsort(g){var visited={};var stack={};var results=[];function visit(node){if(_.has(stack,node)){throw new CycleException}if(!_.has(visited,node)){stack[node]=true;visited[node]=true;_.each(g.predecessors(node),visit);delete stack[node];results.push(node)}}_.each(g.sinks(),visit);if(_.size(visited)!==g.nodeCount()){throw new CycleException}return results}function CycleException(){}CycleException.prototype=new Error;// must be an instance of Error to pass testing },{"../lodash":19}],15:[function(require,module,exports){var _=require("../lodash");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 _.has(this._keyIndices,key)}; /** * 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;key=String(key);if(!_.has(keyIndices,key)){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;var r=l+1;var largest=i;if(l>1;if(arr[parent].priority label this._nodes={};if(this._isCompound){ // v -> parent this._parent={}; // v -> children this._children={};this._children[GRAPH_NODE]={}} // v -> edgeObj this._in={}; // u -> v -> Number this._preds={}; // v -> edgeObj this._out={}; // v -> w -> Number this._sucs={}; // e -> edgeObj this._edgeObjs={}; // e -> label this._edgeLabels={}} /* Number of nodes in the graph. Should only be changed by the implementation. */Graph.prototype._nodeCount=0; /* Number of edges in the graph. Should only be changed by the implementation. */Graph.prototype._edgeCount=0; /* === Graph functions ========= */Graph.prototype.isDirected=function(){return this._isDirected};Graph.prototype.isMultigraph=function(){return this._isMultigraph};Graph.prototype.isCompound=function(){return this._isCompound};Graph.prototype.setGraph=function(label){this._label=label;return this};Graph.prototype.graph=function(){return this._label}; /* === Node functions ========== */Graph.prototype.setDefaultNodeLabel=function(newDefault){if(!_.isFunction(newDefault)){newDefault=_.constant(newDefault)}this._defaultNodeLabelFn=newDefault;return this};Graph.prototype.nodeCount=function(){return this._nodeCount};Graph.prototype.nodes=function(){return _.keys(this._nodes)};Graph.prototype.sources=function(){var self=this;return _.filter(this.nodes(),function(v){return _.isEmpty(self._in[v])})};Graph.prototype.sinks=function(){var self=this;return _.filter(this.nodes(),function(v){return _.isEmpty(self._out[v])})};Graph.prototype.setNodes=function(vs,value){var args=arguments;var self=this;_.each(vs,function(v){if(args.length>1){self.setNode(v,value)}else{self.setNode(v)}});return this};Graph.prototype.setNode=function(v,value){if(_.has(this._nodes,v)){if(arguments.length>1){this._nodes[v]=value}return this}this._nodes[v]=arguments.length>1?value:this._defaultNodeLabelFn(v);if(this._isCompound){this._parent[v]=GRAPH_NODE;this._children[v]={};this._children[GRAPH_NODE][v]=true}this._in[v]={};this._preds[v]={};this._out[v]={};this._sucs[v]={};++this._nodeCount;return this};Graph.prototype.node=function(v){return this._nodes[v]};Graph.prototype.hasNode=function(v){return _.has(this._nodes,v)};Graph.prototype.removeNode=function(v){var self=this;if(_.has(this._nodes,v)){var removeEdge=function(e){self.removeEdge(self._edgeObjs[e])};delete this._nodes[v];if(this._isCompound){this._removeFromParentsChildList(v);delete this._parent[v];_.each(this.children(v),function(child){self.setParent(child)});delete this._children[v]}_.each(_.keys(this._in[v]),removeEdge);delete this._in[v];delete this._preds[v];_.each(_.keys(this._out[v]),removeEdge);delete this._out[v];delete this._sucs[v];--this._nodeCount}return this};Graph.prototype.setParent=function(v,parent){if(!this._isCompound){throw new Error("Cannot set parent in a non-compound graph")}if(_.isUndefined(parent)){parent=GRAPH_NODE}else{ // Coerce parent to string parent+="";for(var ancestor=parent;!_.isUndefined(ancestor);ancestor=this.parent(ancestor)){if(ancestor===v){throw new Error("Setting "+parent+" as parent of "+v+" would create a cycle")}}this.setNode(parent)}this.setNode(v);this._removeFromParentsChildList(v);this._parent[v]=parent;this._children[parent][v]=true;return this};Graph.prototype._removeFromParentsChildList=function(v){delete this._children[this._parent[v]][v]};Graph.prototype.parent=function(v){if(this._isCompound){var parent=this._parent[v];if(parent!==GRAPH_NODE){return parent}}};Graph.prototype.children=function(v){if(_.isUndefined(v)){v=GRAPH_NODE}if(this._isCompound){var children=this._children[v];if(children){return _.keys(children)}}else if(v===GRAPH_NODE){return this.nodes()}else if(this.hasNode(v)){return[]}};Graph.prototype.predecessors=function(v){var predsV=this._preds[v];if(predsV){return _.keys(predsV)}};Graph.prototype.successors=function(v){var sucsV=this._sucs[v];if(sucsV){return _.keys(sucsV)}};Graph.prototype.neighbors=function(v){var preds=this.predecessors(v);if(preds){return _.union(preds,this.successors(v))}};Graph.prototype.isLeaf=function(v){var neighbors;if(this.isDirected()){neighbors=this.successors(v)}else{neighbors=this.neighbors(v)}return neighbors.length===0};Graph.prototype.filterNodes=function(filter){var copy=new this.constructor({directed:this._isDirected,multigraph:this._isMultigraph,compound:this._isCompound});copy.setGraph(this.graph());var self=this;_.each(this._nodes,function(value,v){if(filter(v)){copy.setNode(v,value)}});_.each(this._edgeObjs,function(e){if(copy.hasNode(e.v)&©.hasNode(e.w)){copy.setEdge(e,self.edge(e))}});var parents={};function findParent(v){var parent=self.parent(v);if(parent===undefined||copy.hasNode(parent)){parents[v]=parent;return parent}else if(parent in parents){return parents[parent]}else{return findParent(parent)}}if(this._isCompound){_.each(copy.nodes(),function(v){copy.setParent(v,findParent(v))})}return copy}; /* === Edge functions ========== */Graph.prototype.setDefaultEdgeLabel=function(newDefault){if(!_.isFunction(newDefault)){newDefault=_.constant(newDefault)}this._defaultEdgeLabelFn=newDefault;return this};Graph.prototype.edgeCount=function(){return this._edgeCount};Graph.prototype.edges=function(){return _.values(this._edgeObjs)};Graph.prototype.setPath=function(vs,value){var self=this;var args=arguments;_.reduce(vs,function(v,w){if(args.length>1){self.setEdge(v,w,value)}else{self.setEdge(v,w)}return w});return this}; /* * setEdge(v, w, [value, [name]]) * setEdge({ v, w, [name] }, [value]) */Graph.prototype.setEdge=function(){var v,w,name,value;var valueSpecified=false;var arg0=arguments[0];if(typeof arg0==="object"&&arg0!==null&&"v"in arg0){v=arg0.v;w=arg0.w;name=arg0.name;if(arguments.length===2){value=arguments[1];valueSpecified=true}}else{v=arg0;w=arguments[1];name=arguments[3];if(arguments.length>2){value=arguments[2];valueSpecified=true}}v=""+v;w=""+w;if(!_.isUndefined(name)){name=""+name}var e=edgeArgsToId(this._isDirected,v,w,name);if(_.has(this._edgeLabels,e)){if(valueSpecified){this._edgeLabels[e]=value}return this}if(!_.isUndefined(name)&&!this._isMultigraph){throw new Error("Cannot set a named edge when isMultigraph = false")} // It didn't exist, so we need to create it. // First ensure the nodes exist. this.setNode(v);this.setNode(w);this._edgeLabels[e]=valueSpecified?value:this._defaultEdgeLabelFn(v,w,name);var edgeObj=edgeArgsToObj(this._isDirected,v,w,name); // Ensure we add undirected edges in a consistent way. v=edgeObj.v;w=edgeObj.w;Object.freeze(edgeObj);this._edgeObjs[e]=edgeObj;incrementOrInitEntry(this._preds[w],v);incrementOrInitEntry(this._sucs[v],w);this._in[w][e]=edgeObj;this._out[v][e]=edgeObj;this._edgeCount++;return this};Graph.prototype.edge=function(v,w,name){var e=arguments.length===1?edgeObjToId(this._isDirected,arguments[0]):edgeArgsToId(this._isDirected,v,w,name);return this._edgeLabels[e]};Graph.prototype.hasEdge=function(v,w,name){var e=arguments.length===1?edgeObjToId(this._isDirected,arguments[0]):edgeArgsToId(this._isDirected,v,w,name);return _.has(this._edgeLabels,e)};Graph.prototype.removeEdge=function(v,w,name){var e=arguments.length===1?edgeObjToId(this._isDirected,arguments[0]):edgeArgsToId(this._isDirected,v,w,name);var edge=this._edgeObjs[e];if(edge){v=edge.v;w=edge.w;delete this._edgeLabels[e];delete this._edgeObjs[e];decrementOrRemoveEntry(this._preds[w],v);decrementOrRemoveEntry(this._sucs[v],w);delete this._in[w][e];delete this._out[v][e];this._edgeCount--}return this};Graph.prototype.inEdges=function(v,u){var inV=this._in[v];if(inV){var edges=_.values(inV);if(!u){return edges}return _.filter(edges,function(edge){return edge.v===u})}};Graph.prototype.outEdges=function(v,w){var outV=this._out[v];if(outV){var edges=_.values(outV);if(!w){return edges}return _.filter(edges,function(edge){return edge.w===w})}};Graph.prototype.nodeEdges=function(v,w){var inEdges=this.inEdges(v,w);if(inEdges){return inEdges.concat(this.outEdges(v,w))}};function incrementOrInitEntry(map,k){if(map[k]){map[k]++}else{map[k]=1}}function decrementOrRemoveEntry(map,k){if(!--map[k]){delete map[k]}}function edgeArgsToId(isDirected,v_,w_,name){var v=""+v_;var w=""+w_;if(!isDirected&&v>w){var tmp=v;v=w;w=tmp}return v+EDGE_KEY_DELIM+w+EDGE_KEY_DELIM+(_.isUndefined(name)?DEFAULT_EDGE_NAME:name)}function edgeArgsToObj(isDirected,v_,w_,name){var v=""+v_;var w=""+w_;if(!isDirected&&v>w){var tmp=v;v=w;w=tmp}var edgeObj={v:v,w:w};if(name){edgeObj.name=name}return edgeObj}function edgeObjToId(isDirected,edgeObj){return edgeArgsToId(isDirected,edgeObj.v,edgeObj.w,edgeObj.name)}},{"./lodash":19}],17:[function(require,module,exports){ // Includes only the "core" of graphlib module.exports={Graph:require("./graph"),version:require("./version")}},{"./graph":16,"./version":20}],18:[function(require,module,exports){var _=require("./lodash");var Graph=require("./graph");module.exports={write:write,read:read};function write(g){var json={options:{directed:g.isDirected(),multigraph:g.isMultigraph(),compound:g.isCompound()},nodes:writeNodes(g),edges:writeEdges(g)};if(!_.isUndefined(g.graph())){json.value=_.clone(g.graph())}return json}function writeNodes(g){return _.map(g.nodes(),function(v){var nodeValue=g.node(v);var parent=g.parent(v);var node={v:v};if(!_.isUndefined(nodeValue)){node.value=nodeValue}if(!_.isUndefined(parent)){node.parent=parent}return node})}function writeEdges(g){return _.map(g.edges(),function(e){var edgeValue=g.edge(e);var edge={v:e.v,w:e.w};if(!_.isUndefined(e.name)){edge.name=e.name}if(!_.isUndefined(edgeValue)){edge.value=edgeValue}return edge})}function read(json){var g=new Graph(json.options).setGraph(json.value);_.each(json.nodes,function(entry){g.setNode(entry.v,entry.value);if(entry.parent){g.setParent(entry.v,entry.parent)}});_.each(json.edges,function(entry){g.setEdge({v:entry.v,w:entry.w,name:entry.name},entry.value)});return g}},{"./graph":16,"./lodash":19}],19:[function(require,module,exports){ /* global window */ var lodash;if(typeof require==="function"){try{lodash={clone:require("lodash/clone"),constant:require("lodash/constant"),each:require("lodash/each"),filter:require("lodash/filter"),has:require("lodash/has"),isArray:require("lodash/isArray"),isEmpty:require("lodash/isEmpty"),isFunction:require("lodash/isFunction"),isUndefined:require("lodash/isUndefined"),keys:require("lodash/keys"),map:require("lodash/map"),reduce:require("lodash/reduce"),size:require("lodash/size"),transform:require("lodash/transform"),union:require("lodash/union"),values:require("lodash/values")}}catch(e){ // continue regardless of error }}if(!lodash){lodash=window._}module.exports=lodash},{"lodash/clone":undefined,"lodash/constant":undefined,"lodash/each":undefined,"lodash/filter":undefined,"lodash/has":undefined,"lodash/isArray":undefined,"lodash/isEmpty":undefined,"lodash/isFunction":undefined,"lodash/isUndefined":undefined,"lodash/keys":undefined,"lodash/map":undefined,"lodash/reduce":undefined,"lodash/size":undefined,"lodash/transform":undefined,"lodash/union":undefined,"lodash/values":undefined}],20:[function(require,module,exports){module.exports="2.1.8"},{}]},{},[1])(1)});