@dagrejs/graphlib
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A directed and undirected multi-graph library
420 lines • 501 kB
JavaScript
(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 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);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.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){/**
* Copyright (c) 2014, Chris Pettitt
* All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
*
* 1. Redistributions of source code must retain the above copyright notice, this
* list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright notice,
* this list of conditions and the following disclaimer in the documentation
* and/or other materials provided with the distribution.
*
* 3. Neither the name of the copyright holder nor the names of its contributors
* may be used to endorse or promote products derived from this software without
* specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
* SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*/
var lib=require("./lib");module.exports={Graph:lib.Graph,json:require("./lib/json"),alg:require("./lib/alg"),version:lib.version}},{"./lib":17,"./lib/alg":8,"./lib/json":18}],2:[function(require,module,exports){var _=require("../lodash");module.exports=components;function components(g){var visited={},cmpts=[],cmpt;function dfs(v){if(_.has(visited,v))return;visited[v]=true;cmpt.push(v);_.each(g.successors(v),dfs);_.each(g.predecessors(v),dfs)}_.each(g.nodes(),function(v){cmpt=[];dfs(v);if(cmpt.length){cmpts.push(cmpt)}});return cmpts}},{"../lodash":19}],3:[function(require,module,exports){var _=require("../lodash");module.exports=dfs;/*
* A helper that preforms a pre- or post-order traversal on the input graph
* and returns the nodes in the order they were visited. If the graph is
* undirected then this algorithm will navigate using neighbors. If the graph
* is directed then this algorithm will navigate using successors.
*
* Order must be one of "pre" or "post".
*/
function dfs(g,vs,order){if(!_.isArray(vs)){vs=[vs]}var navigation=(g.isDirected()?g.successors:g.neighbors).bind(g);var acc=[],visited={};_.each(vs,function(v){if(!g.hasNode(v)){throw new Error("Graph does not have node: "+v)}doDfs(g,v,order==="post",visited,navigation,acc)});return acc}function doDfs(g,v,postorder,visited,navigation,acc){if(!_.has(visited,v)){visited[v]=true;if(!postorder){acc.push(v)}_.each(navigation(v),function(w){doDfs(g,w,postorder,visited,navigation,acc)});if(postorder){acc.push(v)}}}},{"../lodash":19}],4:[function(require,module,exports){var dijkstra=require("./dijkstra"),_=require("../lodash");module.exports=dijkstraAll;function dijkstraAll(g,weightFunc,edgeFunc){return _.transform(g.nodes(),function(acc,v){acc[v]=dijkstra(g,v,weightFunc,edgeFunc)},{})}},{"../lodash":19,"./dijkstra":5}],5:[function(require,module,exports){var _=require("../lodash"),PriorityQueue=require("../data/priority-queue");module.exports=dijkstra;var DEFAULT_WEIGHT_FUNC=_.constant(1);function dijkstra(g,source,weightFn,edgeFn){return runDijkstra(g,String(source),weightFn||DEFAULT_WEIGHT_FUNC,edgeFn||function(v){return g.outEdges(v)})}function runDijkstra(g,source,weightFn,edgeFn){var results={},pq=new PriorityQueue,v,vEntry;var updateNeighbors=function(edge){var w=edge.v!==v?edge.v:edge.w,wEntry=results[w],weight=weightFn(edge),distance=vEntry.distance+weight;if(weight<0){throw new Error("dijkstra does not allow negative edge weights. "+"Bad edge: "+edge+" Weight: "+weight)}if(distance<wEntry.distance){wEntry.distance=distance;wEntry.predecessor=v;pq.decrease(w,distance)}};g.nodes().forEach(function(v){var distance=v===source?0:Number.POSITIVE_INFINITY;results[v]={distance:distance};pq.add(v,distance)});while(pq.size()>0){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"),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={},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,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(altDistance<ij.distance){ij.distance=altDistance;ij.predecessor=kj.predecessor}})})});return results}},{"../lodash":19}],8:[function(require,module,exports){module.exports={components:require("./components"),dijkstra:require("./dijkstra"),dijkstraAll:require("./dijkstra-all"),findCycles:require("./find-cycles"),floydWarshall:require("./floyd-warshall"),isAcyclic:require("./is-acyclic"),postorder:require("./postorder"),preorder:require("./preorder"),prim:require("./prim"),tarjan:require("./tarjan"),topsort:require("./topsort")}},{"./components":2,"./dijkstra":5,"./dijkstra-all":4,"./find-cycles":6,"./floyd-warshall":7,"./is-acyclic":9,"./postorder":10,"./preorder":11,"./prim":12,"./tarjan":13,"./topsort":14}],9:[function(require,module,exports){var topsort=require("./topsort");module.exports=isAcyclic;function isAcyclic(g){try{topsort(g)}catch(e){if(e instanceof topsort.CycleException){return false}throw e}return true}},{"./topsort":14}],10:[function(require,module,exports){var dfs=require("./dfs");module.exports=postorder;function postorder(g,vs){return dfs(g,vs,"post")}},{"./dfs":3}],11:[function(require,module,exports){var dfs=require("./dfs");module.exports=preorder;function preorder(g,vs){return dfs(g,vs,"pre")}},{"./dfs":3}],12:[function(require,module,exports){var _=require("../lodash"),Graph=require("../graph"),PriorityQueue=require("../data/priority-queue");module.exports=prim;function prim(g,weightFunc){var result=new Graph,parents={},pq=new PriorityQueue,v;function updateNeighbors(edge){var w=edge.v===v?edge.w:edge.v,pri=pq.priority(w);if(pri!==undefined){var edgeWeight=weightFunc(edge);if(edgeWeight<pri){parents[w]=v;pq.decrease(w,edgeWeight)}}}if(g.nodeCount()===0){return result}_.each(g.nodes(),function(v){pq.add(v,Number.POSITIVE_INFINITY);result.setNode(v)});
// Start from an arbitrary node
pq.decrease(g.nodes()[0],0);var init=false;while(pq.size()>0){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,stack=[],visited={},// node id -> { onStack, lowlink, index }
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=[],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={},stack={},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(){}},{"../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,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}},{"../lodash":19}],16:[function(require,module,exports){"use strict";var _=require("./lodash");module.exports=Graph;var DEFAULT_EDGE_NAME="\0",GRAPH_NODE="\0",EDGE_KEY_DELIM="";
// Implementation notes:
//
// * Node id query functions should return string ids for the nodes
// * Edge id query functions should return an "edgeObj", edge object, that is
// composed of enough information to uniquely identify an edge: {v, w, name}.
// * Internally we use an "edgeId", a stringified form of the edgeObj, to
// reference edges. This is because we need a performant way to look these
// edges up and, object properties, which have string keys, are the closest
// we're going to get to a performant hashtable in JavaScript.
function Graph(opts){this._isDirected=_.has(opts,"directed")?opts.directed:true;this._isMultigraph=_.has(opts,"multigraph")?opts.multigraph:false;this._isCompound=_.has(opts,"compound")?opts.compound:false;
// Label for the graph itself
this._label=undefined;
// Defaults to be set when creating a new node
this._defaultNodeLabelFn=_.constant(undefined);
// Defaults to be set when creating a new edge
this._defaultEdgeLabelFn=_.constant(undefined);
// v -> 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(){return _.filter(this.nodes(),_.bind(function(v){return _.isEmpty(this._in[v])},this))};Graph.prototype.sinks=function(){return _.filter(this.nodes(),_.bind(function(v){return _.isEmpty(this._out[v])},this))};Graph.prototype.setNodes=function(vs,value){var args=arguments;_.each(vs,_.bind(function(v){if(args.length>1){this.setNode(v,value)}else{this.setNode(v)}},this));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),_.bind(function(child){this.setParent(child)},this));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 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());_.each(this._nodes,_.bind(function(value,v){if(filter(v)){copy.setNode(v,value)}},this));_.each(this._edgeObjs,_.bind(function(e){if(copy.hasNode(e.v)&©.hasNode(e.w)){copy.setEdge(e,this.edge(e))}},this));var self=this;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,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,valueSpecified=false,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),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"),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),parent=g.parent(v),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),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=require("lodash")}catch(e){}}if(!lodash){lodash=window._}module.exports=lodash},{lodash:21}],20:[function(require,module,exports){module.exports="2.1.4"},{}],21:[function(require,module,exports){(function(global){(function(){/** Used as a safe reference for `undefined` in pre-ES5 environments. */
var undefined;/** Used as the semantic version number. */
var VERSION="4.17.4";/** Used as the size to enable large array optimizations. */
var LARGE_ARRAY_SIZE=200;/** Error message constants. */
var CORE_ERROR_TEXT="Unsupported core-js use. Try https://npms.io/search?q=ponyfill.",FUNC_ERROR_TEXT="Expected a function";/** Used to stand-in for `undefined` hash values. */
var HASH_UNDEFINED="__lodash_hash_undefined__";/** Used as the maximum memoize cache size. */
var MAX_MEMOIZE_SIZE=500;/** Used as the internal argument placeholder. */
var PLACEHOLDER="__lodash_placeholder__";/** Used to compose bitmasks for cloning. */
var CLONE_DEEP_FLAG=1,CLONE_FLAT_FLAG=2,CLONE_SYMBOLS_FLAG=4;/** Used to compose bitmasks for value comparisons. */
var COMPARE_PARTIAL_FLAG=1,COMPARE_UNORDERED_FLAG=2;/** Used to compose bitmasks for function metadata. */
var WRAP_BIND_FLAG=1,WRAP_BIND_KEY_FLAG=2,WRAP_CURRY_BOUND_FLAG=4,WRAP_CURRY_FLAG=8,WRAP_CURRY_RIGHT_FLAG=16,WRAP_PARTIAL_FLAG=32,WRAP_PARTIAL_RIGHT_FLAG=64,WRAP_ARY_FLAG=128,WRAP_REARG_FLAG=256,WRAP_FLIP_FLAG=512;/** Used as default options for `_.truncate`. */
var DEFAULT_TRUNC_LENGTH=30,DEFAULT_TRUNC_OMISSION="...";/** Used to detect hot functions by number of calls within a span of milliseconds. */
var HOT_COUNT=800,HOT_SPAN=16;/** Used to indicate the type of lazy iteratees. */
var LAZY_FILTER_FLAG=1,LAZY_MAP_FLAG=2,LAZY_WHILE_FLAG=3;/** Used as references for various `Number` constants. */
var INFINITY=1/0,MAX_SAFE_INTEGER=9007199254740991,MAX_INTEGER=1.7976931348623157e308,NAN=0/0;/** Used as references for the maximum length and index of an array. */
var MAX_ARRAY_LENGTH=4294967295,MAX_ARRAY_INDEX=MAX_ARRAY_LENGTH-1,HALF_MAX_ARRAY_LENGTH=MAX_ARRAY_LENGTH>>>1;/** Used to associate wrap methods with their bit flags. */
var wrapFlags=[["ary",WRAP_ARY_FLAG],["bind",WRAP_BIND_FLAG],["bindKey",WRAP_BIND_KEY_FLAG],["curry",WRAP_CURRY_FLAG],["curryRight",WRAP_CURRY_RIGHT_FLAG],["flip",WRAP_FLIP_FLAG],["partial",WRAP_PARTIAL_FLAG],["partialRight",WRAP_PARTIAL_RIGHT_FLAG],["rearg",WRAP_REARG_FLAG]];/** `Object#toString` result references. */
var argsTag="[object Arguments]",arrayTag="[object Array]",asyncTag="[object AsyncFunction]",boolTag="[object Boolean]",dateTag="[object Date]",domExcTag="[object DOMException]",errorTag="[object Error]",funcTag="[object Function]",genTag="[object GeneratorFunction]",mapTag="[object Map]",numberTag="[object Number]",nullTag="[object Null]",objectTag="[object Object]",promiseTag="[object Promise]",proxyTag="[object Proxy]",regexpTag="[object RegExp]",setTag="[object Set]",stringTag="[object String]",symbolTag="[object Symbol]",undefinedTag="[object Undefined]",weakMapTag="[object WeakMap]",weakSetTag="[object WeakSet]";var arrayBufferTag="[object ArrayBuffer]",dataViewTag="[object DataView]",float32Tag="[object Float32Array]",float64Tag="[object Float64Array]",int8Tag="[object Int8Array]",int16Tag="[object Int16Array]",int32Tag="[object Int32Array]",uint8Tag="[object Uint8Array]",uint8ClampedTag="[object Uint8ClampedArray]",uint16Tag="[object Uint16Array]",uint32Tag="[object Uint32Array]";/** Used to match empty string literals in compiled template source. */
var reEmptyStringLeading=/\b__p \+= '';/g,reEmptyStringMiddle=/\b(__p \+=) '' \+/g,reEmptyStringTrailing=/(__e\(.*?\)|\b__t\)) \+\n'';/g;/** Used to match HTML entities and HTML characters. */
var reEscapedHtml=/&(?:amp|lt|gt|quot|#39);/g,reUnescapedHtml=/[&<>"']/g,reHasEscapedHtml=RegExp(reEscapedHtml.source),reHasUnescapedHtml=RegExp(reUnescapedHtml.source);/** Used to match template delimiters. */
var reEscape=/<%-([\s\S]+?)%>/g,reEvaluate=/<%([\s\S]+?)%>/g,reInterpolate=/<%=([\s\S]+?)%>/g;/** Used to match property names within property paths. */
var reIsDeepProp=/\.|\[(?:[^[\]]*|(["'])(?:(?!\1)[^\\]|\\.)*?\1)\]/,reIsPlainProp=/^\w*$/,reLeadingDot=/^\./,rePropName=/[^.[\]]+|\[(?:(-?\d+(?:\.\d+)?)|(["'])((?:(?!\2)[^\\]|\\.)*?)\2)\]|(?=(?:\.|\[\])(?:\.|\[\]|$))/g;/**
* Used to match `RegExp`
* [syntax characters](http://ecma-international.org/ecma-262/7.0/#sec-patterns).
*/
var reRegExpChar=/[\\^$.*+?()[\]{}|]/g,reHasRegExpChar=RegExp(reRegExpChar.source);/** Used to match leading and trailing whitespace. */
var reTrim=/^\s+|\s+$/g,reTrimStart=/^\s+/,reTrimEnd=/\s+$/;/** Used to match wrap detail comments. */
var reWrapComment=/\{(?:\n\/\* \[wrapped with .+\] \*\/)?\n?/,reWrapDetails=/\{\n\/\* \[wrapped with (.+)\] \*/,reSplitDetails=/,? & /;/** Used to match words composed of alphanumeric characters. */
var reAsciiWord=/[^\x00-\x2f\x3a-\x40\x5b-\x60\x7b-\x7f]+/g;/** Used to match backslashes in property paths. */
var reEscapeChar=/\\(\\)?/g;/**
* Used to match
* [ES template delimiters](http://ecma-international.org/ecma-262/7.0/#sec-template-literal-lexical-components).
*/
var reEsTemplate=/\$\{([^\\}]*(?:\\.[^\\}]*)*)\}/g;/** Used to match `RegExp` flags from their coerced string values. */
var reFlags=/\w*$/;/** Used to detect bad signed hexadecimal string values. */
var reIsBadHex=/^[-+]0x[0-9a-f]+$/i;/** Used to detect binary string values. */
var reIsBinary=/^0b[01]+$/i;/** Used to detect host constructors (Safari). */
var reIsHostCtor=/^\[object .+?Constructor\]$/;/** Used to detect octal string values. */
var reIsOctal=/^0o[0-7]+$/i;/** Used to detect unsigned integer values. */
var reIsUint=/^(?:0|[1-9]\d*)$/;/** Used to match Latin Unicode letters (excluding mathematical operators). */
var reLatin=/[\xc0-\xd6\xd8-\xf6\xf8-\xff\u0100-\u017f]/g;/** Used to ensure capturing order of template delimiters. */
var reNoMatch=/($^)/;/** Used to match unescaped characters in compiled string literals. */
var reUnescapedString=/['\n\r\u2028\u2029\\]/g;/** Used to compose unicode character classes. */
var rsAstralRange="\\ud800-\\udfff",rsComboMarksRange="\\u0300-\\u036f",reComboHalfMarksRange="\\ufe20-\\ufe2f",rsComboSymbolsRange="\\u20d0-\\u20ff",rsComboRange=rsComboMarksRange+reComboHalfMarksRange+rsComboSymbolsRange,rsDingbatRange="\\u2700-\\u27bf",rsLowerRange="a-z\\xdf-\\xf6\\xf8-\\xff",rsMathOpRange="\\xac\\xb1\\xd7\\xf7",rsNonCharRange="\\x00-\\x2f\\x3a-\\x40\\x5b-\\x60\\x7b-\\xbf",rsPunctuationRange="\\u2000-\\u206f",rsSpaceRange=" \\t\\x0b\\f\\xa0\\ufeff\\n\\r\\u2028\\u2029\\u1680\\u180e\\u2000\\u2001\\u2002\\u2003\\u2004\\u2005\\u2006\\u2007\\u2008\\u2009\\u200a\\u202f\\u205f\\u3000",rsUpperRange="A-Z\\xc0-\\xd6\\xd8-\\xde",rsVarRange="\\ufe0e\\ufe0f",rsBreakRange=rsMathOpRange+rsNonCharRange+rsPunctuationRange+rsSpaceRange;/** Used to compose unicode capture groups. */
var rsApos="['’]",rsAstral="["+rsAstralRange+"]",rsBreak="["+rsBreakRange+"]",rsCombo="["+rsComboRange+"]",rsDigits="\\d+",rsDingbat="["+rsDingbatRange+"]",rsLower="["+rsLowerRange+"]",rsMisc="[^"+rsAstralRange+rsBreakRange+rsDigits+rsDingbatRange+rsLowerRange+rsUpperRange+"]",rsFitz="\\ud83c[\\udffb-\\udfff]",rsModifier="(?:"+rsCombo+"|"+rsFitz+")",rsNonAstral="[^"+rsAstralRange+"]",rsRegional="(?:\\ud83c[\\udde6-\\uddff]){2}",rsSurrPair="[\\ud800-\\udbff][\\udc00-\\udfff]",rsUpper="["+rsUpperRange+"]",rsZWJ="\\u200d";/** Used to compose unicode regexes. */
var rsMiscLower="(?:"+rsLower+"|"+rsMisc+")",rsMiscUpper="(?:"+rsUpper+"|"+rsMisc+")",rsOptContrLower="(?:"+rsApos+"(?:d|ll|m|re|s|t|ve))?",rsOptContrUpper="(?:"+rsApos+"(?:D|LL|M|RE|S|T|VE))?",reOptMod=rsModifier+"?",rsOptVar="["+rsVarRange+"]?",rsOptJoin="(?:"+rsZWJ+"(?:"+[rsNonAstral,rsRegional,rsSurrPair].join("|")+")"+rsOptVar+reOptMod+")*",rsOrdLower="\\d*(?:(?:1st|2nd|3rd|(?![123])\\dth)\\b)",rsOrdUpper="\\d*(?:(?:1ST|2ND|3RD|(?![123])\\dTH)\\b)",rsSeq=rsOptVar+reOptMod+rsOptJoin,rsEmoji="(?:"+[rsDingbat,rsRegional,rsSurrPair].join("|")+")"+rsSeq,rsSymbol="(?:"+[rsNonAstral+rsCombo+"?",rsCombo,rsRegional,rsSurrPair,rsAstral].join("|")+")";/** Used to match apostrophes. */
var reApos=RegExp(rsApos,"g");/**
* Used to match [combining diacritical marks](https://en.wikipedia.org/wiki/Combining_Diacritical_Marks) and
* [combining diacritical marks for symbols](https://en.wikipedia.org/wiki/Combining_Diacritical_Marks_for_Symbols).
*/
var reComboMark=RegExp(rsCombo,"g");/** Used to match [string symbols](https://mathiasbynens.be/notes/javascript-unicode). */
var reUnicode=RegExp(rsFitz+"(?="+rsFitz+")|"+rsSymbol+rsSeq,"g");/** Used to match complex or compound words. */
var reUnicodeWord=RegExp([rsUpper+"?"+rsLower+"+"+rsOptContrLower+"(?="+[rsBreak,rsUpper,"$"].join("|")+")",rsMiscUpper+"+"+rsOptContrUpper+"(?="+[rsBreak,rsUpper+rsMiscLower,"$"].join("|")+")",rsUpper+"?"+rsMiscLower+"+"+rsOptContrLower,rsUpper+"+"+rsOptContrUpper,rsOrdUpper,rsOrdLower,rsDigits,rsEmoji].join("|"),"g");/** Used to detect strings with [zero-width joiners or code points from the astral planes](http://eev.ee/blog/2015/09/12/dark-corners-of-unicode/). */
var reHasUnicode=RegExp("["+rsZWJ+rsAstralRange+rsComboRange+rsVarRange+"]");/** Used to detect strings that need a more robust regexp to match words. */
var reHasUnicodeWord=/[a-z][A-Z]|[A-Z]{2,}[a-z]|[0-9][a-zA-Z]|[a-zA-Z][0-9]|[^a-zA-Z0-9 ]/;/** Used to assign default `context` object properties. */
var contextProps=["Array","Buffer","DataView","Date","Error","Float32Array","Float64Array","Function","Int8Array","Int16Array","Int32Array","Map","Math","Object","Promise","RegExp","Set","String","Symbol","TypeError","Uint8Array","Uint8ClampedArray","Uint16Array","Uint32Array","WeakMap","_","clearTimeout","isFinite","parseInt","setTimeout"];/** Used to make template sourceURLs easier to identify. */
var templateCounter=-1;/** Used to identify `toStringTag` values of typed arrays. */
var typedArrayTags={};typedArrayTags[float32Tag]=typedArrayTags[float64Tag]=typedArrayTags[int8Tag]=typedArrayTags[int16Tag]=typedArrayTags[int32Tag]=typedArrayTags[uint8Tag]=typedArrayTags[uint8ClampedTag]=typedArrayTags[uint16Tag]=typedArrayTags[uint32Tag]=true;typedArrayTags[argsTag]=typedArrayTags[arrayTag]=typedArrayTags[arrayBufferTag]=typedArrayTags[boolTag]=typedArrayTags[dataViewTag]=typedArrayTags[dateTag]=typedArrayTags[errorTag]=typedArrayTags[funcTag]=typedArrayTags[mapTag]=typedArrayTags[numberTag]=typedArrayTags[objectTag]=typedArrayTags[regexpTag]=typedArrayTags[setTag]=typedArrayTags[stringTag]=typedArrayTags[weakMapTag]=false;/** Used to identify `toStringTag` values supported by `_.clone`. */
var cloneableTags={};cloneableTags[argsTag]=cloneableTags[arrayTag]=cloneableTags[arrayBufferTag]=cloneableTags[dataViewTag]=cloneableTags[boolTag]=cloneableTags[dateTag]=cloneableTags[float32Tag]=cloneableTags[float64Tag]=cloneableTags[int8Tag]=cloneableTags[int16Tag]=cloneableTags[int32Tag]=cloneableTags[mapTag]=cloneableTags[numberTag]=cloneableTags[objectTag]=cloneableTags[regexpTag]=cloneableTags[setTag]=cloneableTags[stringTag]=cloneableTags[symbolTag]=cloneableTags[uint8Tag]=cloneableTags[uint8ClampedTag]=cloneableTags[uint16Tag]=cloneableTags[uint32Tag]=true;cloneableTags[errorTag]=cloneableTags[funcTag]=cloneableTags[weakMapTag]=false;/** Used to map Latin Unicode letters to basic Latin letters. */
var deburredLetters={
// Latin-1 Supplement block.
"À":"A","Á":"A","Â":"A","Ã":"A","Ä":"A","Å":"A","à":"a","á":"a","â":"a","ã":"a","ä":"a","å":"a","Ç":"C","ç":"c","Ð":"D","ð":"d","È":"E","É":"E","Ê":"E","Ë":"E","è":"e","é":"e","ê":"e","ë":"e","Ì":"I","Í":"I","Î":"I","Ï":"I","ì":"i","í":"i","î":"i","ï":"i","Ñ":"N","ñ":"n","Ò":"O","Ó":"O","Ô":"O","Õ":"O","Ö":"O","Ø":"O","ò":"o","ó":"o","ô":"o","õ":"o","ö":"o","ø":"o","Ù":"U","Ú":"U","Û":"U","Ü":"U","ù":"u","ú":"u","û":"u","ü":"u","Ý":"Y","ý":"y","ÿ":"y","Æ":"Ae","æ":"ae","Þ":"Th","þ":"th","ß":"ss",
// Latin Extended-A block.
"Ā":"A","Ă":"A","Ą":"A","ā":"a","ă":"a","ą":"a","Ć":"C","Ĉ":"C","Ċ":"C","Č":"C","ć":"c","ĉ":"c","ċ":"c","č":"c","Ď":"D","Đ":"D","ď":"d","đ":"d","Ē":"E","Ĕ":"E","Ė":"E","Ę":"E","Ě":"E","ē":"e","ĕ":"e","ė":"e","ę":"e","ě":"e","Ĝ":"G","Ğ":"G","Ġ":"G","Ģ":"G","ĝ":"g","ğ":"g","ġ":"g","ģ":"g","Ĥ":"H","Ħ":"H","ĥ":"h","ħ":"h","Ĩ":"I","Ī":"I","Ĭ":"I","Į":"I","İ":"I","ĩ":"i","ī":"i","ĭ":"i","į":"i","ı":"i","Ĵ":"J","ĵ":"j","Ķ":"K","ķ":"k","ĸ":"k","Ĺ":"L","Ļ":"L","Ľ":"L","Ŀ":"L","Ł":"L","ĺ":"l","ļ":"l","ľ":"l","ŀ":"l","ł":"l","Ń":"N","Ņ":"N","Ň":"N","Ŋ":"N","ń":"n","ņ":"n","ň":"n","ŋ":"n","Ō":"O","Ŏ":"O","Ő":"O","ō":"o","ŏ":"o","ő":"o","Ŕ":"R","Ŗ":"R","Ř":"R","ŕ":"r","ŗ":"r","ř":"r","Ś":"S","Ŝ":"S","Ş":"S","Š":"S","ś":"s","ŝ":"s","ş":"s","š":"s","Ţ":"T","Ť":"T","Ŧ":"T","ţ":"t","ť":"t","ŧ":"t","Ũ":"U","Ū":"U","Ŭ":"U","Ů":"U","Ű":"U","Ų":"U","ũ":"u","ū":"u","ŭ":"u","ů":"u","ű":"u","ų":"u","Ŵ":"W","ŵ":"w","Ŷ":"Y","ŷ":"y","Ÿ":"Y","Ź":"Z","Ż":"Z","Ž":"Z","ź":"z","ż":"z","ž":"z","IJ":"IJ","ij":"ij","Œ":"Oe","œ":"oe","ʼn":"'n","ſ":"s"};/** Used to map characters to HTML entities. */
var htmlEscapes={"&":"&","<":"<",">":">",'"':""","'":"'"};/** Used to map HTML entities to characters. */
var htmlUnescapes={"&":"&","<":"<",">":">",""":'"',"'":"'"};/** Used to escape characters for inclusion in compiled string literals. */
var stringEscapes={"\\":"\\","'":"'","\n":"n","\r":"r","\u2028":"u2028","\u2029":"u2029"};/** Built-in method references without a dependency on `root`. */
var freeParseFloat=parseFloat,freeParseInt=parseInt;/** Detect free variable `global` from Node.js. */
var freeGlobal=typeof global=="object"&&global&&global.Object===Object&&global;/** Detect free variable `self`. */
var freeSelf=typeof self=="object"&&self&&self.Object===Object&&self;/** Used as a reference to the global object. */
var root=freeGlobal||freeSelf||Function("return this")();/** Detect free variable `exports`. */
var freeExports=typeof exports=="object"&&exports&&!exports.nodeType&&exports;/** Detect free variable `module`. */
var freeModule=freeExports&&typeof module=="object"&&module&&!module.nodeType&&module;/** Detect the popular CommonJS extension `module.exports`. */
var moduleExports=freeModule&&freeModule.exports===freeExports;/** Detect free variable `process` from Node.js. */
var freeProcess=moduleExports&&freeGlobal.process;/** Used to access faster Node.js helpers. */
var nodeUtil=function(){try{return freeProcess&&freeProcess.binding&&freeProcess.binding("util")}catch(e){}}();/* Node.js helper references. */
var nodeIsArrayBuffer=nodeUtil&&nodeUtil.isArrayBuffer,nodeIsDate=nodeUtil&&nodeUtil.isDate,nodeIsMap=nodeUtil&&nodeUtil.isMap,nodeIsRegExp=nodeUtil&&nodeUtil.isRegExp,nodeIsSet=nodeUtil&&nodeUtil.isSet,nodeIsTypedArray=nodeUtil&&nodeUtil.isTypedArray;/*--------------------------------------------------------------------------*/
/**
* Adds the key-value `pair` to `map`.
*
* @private
* @param {Object} map The map to modify.
* @param {Array} pair The key-value pair to add.
* @returns {Object} Returns `map`.
*/
function addMapEntry(map,pair){
// Don't return `map.set` because it's not chainable in IE 11.
map.set(pair[0],pair[1]);return map}/**
* Adds `value` to `set`.
*
* @private
* @param {Object} set The set to modify.
* @param {*} value The value to add.
* @returns {Object} Returns `set`.
*/
function addSetEntry(set,value){
// Don't return `set.add` because it's not chainable in IE 11.
set.add(value);return set}/**
* A faster alternative to `Function#apply`, this function invokes `func`
* with the `this` binding of `thisArg` and the arguments of `args`.
*
* @private
* @param {Function} func The function to invoke.
* @param {*} thisArg The `this` binding of `func`.
* @param {Array} args The arguments to invoke `func` with.
* @returns {*} Returns the result of `func`.
*/
function apply(func,thisArg,args){switch(args.length){case 0:return func.call(thisArg);case 1:return func.call(thisArg,args[0]);case 2:return func.call(thisArg,args[0],args[1]);case 3:return func.call(thisArg,args[0],args[1],args[2])}return func.apply(thisArg,args)}/**
* A specialized version of `baseAggregator` for arrays.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} setter The function to set `accumulator` values.
* @param {Function} iteratee The iteratee to transform keys.
* @param {Object} accumulator The initial aggregated object.
* @returns {Function} Returns `accumulator`.
*/
function arrayAggregator(array,setter,iteratee,accumulator){var index=-1,length=array==null?0:array.length;while(++index<length){var value=array[index];setter(accumulator,value,iteratee(value),array)}return accumulator}/**
* A specialized version of `_.forEach` for arrays without support for
* iteratee shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} iteratee The function invoked per iteration.
* @returns {Array} Returns `array`.
*/
function arrayEach(array,iteratee){var index=-1,length=array==null?0:array.length;while(++index<length){if(iteratee(array[index],index,array)===false){break}}return array}/**
* A specialized version of `_.forEachRight` for arrays without support for
* iteratee shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} iteratee The function invoked per iteration.
* @returns {Array} Returns `array`.
*/
function arrayEachRight(array,iteratee){var length=array==null?0:array.length;while(length--){if(iteratee(array[length],length,array)===false){break}}return array}/**
* A specialized version of `_.every` for arrays without support for
* iteratee shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} predicate The function invoked per iteration.
* @returns {boolean} Returns `true` if all elements pass the predicate check,
* else `false`.
*/
function arrayEvery(array,predicate){var index=-1,length=array==null?0:array.length;while(++index<length){if(!predicate(array[index],index,array)){return false}}return true}/**
* A specialized version of `_.filter` for arrays without support for
* iteratee shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} predicate The function invoked per iteration.
* @returns {Array} Returns the new filtered array.
*/
function arrayFilter(array,predicate){var index=-1,length=array==null?0:array.length,resIndex=0,result=[];while(++index<length){var value=array[index];if(predicate(value,index,array)){result[resIndex++]=value}}return result}/**
* A specialized version of `_.includes` for arrays without support for
* specifying an index to search from.
*
* @private
* @param {Array} [array] The array to inspect.
* @param {*} target The value to search for.
* @returns {boolean} Returns `true` if `target` is found, else `false`.
*/
function arrayIncludes(array,value){var length=array==null?0:array.length;return!!length&&baseIndexOf(array,value,0)>-1}/**
* This function is like `arrayIncludes` except that it accepts a comparator.
*
* @private
* @param {Array} [array] The array to inspect.
* @param {*} target The value to search for.
* @param {Function} comparator The comparator invoked per element.
* @returns {boolean} Returns `true` if `target` is found, else `false`.
*/
function arrayIncludesWith(array,value,comparator){var index=-1,length=array==null?0:array.length;while(++index<length){if(comparator(value,array[index])){return true}}return false}/**
* A specialized version of `_.map` for arrays without support for iteratee
* shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} iteratee The function invoked per iteration.
* @returns {Array} Returns the new mapped array.
*/
function arrayMap(array,iteratee){var index=-1,length=array==null?0:array.length,result=Array(length);while(++index<length){result[index]=iteratee(array[index],index,array)}return result}/**
* Appends the elements of `values` to `array`.
*
* @private
* @param {Array} array The array to modify.
* @param {Array} values The values to append.
* @returns {Array} Returns `array`.
*/
function arrayPush(array,values){var index=-1,length=values.length,offset=array.length;while(++index<length){array[offset+index]=values[index]}return array}/**
* A specialized version of `_.reduce` for arrays without support for
* iteratee shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} iteratee The function invoked per iteration.
* @param {*} [accumulator] The initial value.
* @param {boolean} [initAccum] Specify using the first element of `array` as
* the initial value.
* @returns {*} Returns the accumulated value.
*/
function arrayReduce(array,iteratee,accumulator,initAccum){var index=-1,length=array==null?0:array.length;if(initAccum&&length){accumulator=array[++index]}while(++index<length){accumulator=iteratee(accumulator,array[index],index,array)}return accumulator}/**
* A specialized version of `_.reduceRight` for arrays without support for
* iteratee shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} iteratee The function invoked per iteration.
* @param {*} [accumulator] The initial value.
* @param {boolean} [initAccum] Specify using the last element of `array` as
* the initial value.
* @returns {*} Returns the accumulated value.
*/
function arrayReduceRight(array,iteratee,accumulator,initAccum){var length=array==null?0:array.length;if(initAccum&&length){accumulator=array[--length]}while(length--){accumulator=iteratee(accumulator,array[length],length,array)}return accumulator}/**
* A specialized version of `_.some` for arrays without support for iteratee
* shorthands.
*
* @private
* @param {Array} [array] The array to iterate over.
* @param {Function} predicate The function invoked per iteration.
* @returns {boolean} Returns `true` if any element passes the predicate check,
* else `false`.
*/
function arraySome(array,predicate){var index=-1,length=array==null?0:array.length;while(++index<length){if(predicate(array[index],index,array)){return true}}return false}/**
* Gets the size of an ASCII `string`.
*
* @private
* @param {string} string The string inspect.
* @returns {number} Returns the string size.
*/
var asciiSize=baseProperty("length");/**
* Converts an ASCII `string` to an array.
*
* @private
* @param {string} string The string to convert.
* @returns {Array} Returns the converted array.
*/
function asciiToArray(string){return string.split("")}/**
* Splits an ASCII `string` into an array of its words.
*
* @private
* @param {string} The string to inspect.
* @returns {Array} Returns the words of `string`.
*/
function asciiWords(string){return string.match(reAsciiWord)||[]}/**
* The base implementation of methods like `_.findKey` and `_.findLastKey`,
* without support for iteratee shorthands, which iterates over `collection`
* using `eachFunc`.
*
* @private
* @param {Array|Object} collection The collection to inspect.
* @param {Function} predicate The function invoked per iteration.
* @param {Function} eachFunc The function to iterate over `collection`.
* @returns {*} Returns the found element or its key, else `undefined`.
*/
function baseFindKey(collection,predicate,eachFunc){var result;eachFunc(collection,function(value,key,collection){if(predicate(value,key,collection)){result=key;return false}});return result}/**
* The base implementation of `_.findIndex` and `_.findLastIndex` without
* support for iteratee shorthands.
*
* @private
* @param {Array} array The array to inspect.
* @param {Function} predicate The function invoked per iteration.
* @param {number} fromIndex The index to search from.
* @param {boolean} [fromRight] Specify iterating from right to left.
* @returns {number} Returns the index of the matched value, else `-1`.
*/
function baseFindIndex(array,predicate,fromIndex,fromRight){var length=array.length,index=fromIndex+(fromRight?1:-1);while(fromRight?index--:++index<length){if(predicate(array[index],index,array)){return index}}return-1}/**
* The base implementation of `_.indexOf` without `fromIndex` bounds checks.
*
* @private
* @param {Array} array The array to inspect.
* @param {*} value The value to search for.
* @param {number} fromIndex The index to search from.
* @returns {number} Returns the index of the matched value, else `-1`.
*/
function baseIndexOf(array,value,fromIndex){return value===value?strictIndexOf(array,value,fromIndex):baseFindIndex(array,baseIsNaN,fromIndex)}/**
* This function is like `baseIndexOf` except that it accepts a comparator.
*
* @private
* @param {Array} array The array to inspect.
* @param {*} value The value to search for.
* @param {number} fromIndex The index to search from.
* @param {Function} comparator The comparator invoked pe