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@dagrejs/graphlib

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@dagrejs/graphlib - npm Package Compare versions

Comparing version 2.1.10 to 2.1.11

1333

dist/graphlib.core.js

@@ -77,3 +77,3 @@ (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;i<t.length;i++)o(t[i]);return o}return r})()({1:[function(require,module,exports){

*
* Order must be one of "pre" or "post".
* If the order is not "post", it will be treated as "pre".
*/

@@ -85,7 +85,8 @@ function dfs(g, vs, order) {

var navigation = (g.isDirected() ? g.successors : g.neighbors).bind(g);
var navigation = g.isDirected() ? v => g.successors(v) : v => g.neighbors(v);
var orderFunc = order === "post" ? postOrderDfs : preOrderDfs;
var acc = [];
var visited = {};
vs.forEach(function(v) {
vs.forEach(v => {
if (!g.hasNode(v)) {

@@ -95,19 +96,45 @@ throw new Error("Graph does not have node: " + v);

doDfs(g, v, order === "post", visited, navigation, acc);
orderFunc(v, navigation, visited, acc);
});
return acc;
}
function doDfs(g, v, postorder, visited, navigation, acc) {
if (!visited.hasOwnProperty(v)) {
visited[v] = true;
function postOrderDfs(v, navigation, visited, acc) {
var stack = [[v, false]];
while (stack.length > 0) {
var curr = stack.pop();
if (curr[1]) {
acc.push(curr[0]);
} else {
if (!visited.hasOwnProperty(curr[0])) {
visited[curr[0]] = true;
stack.push([curr[0], true]);
forEachRight(navigation(curr[0]), w => stack.push([w, false]));
}
}
}
}
if (!postorder) { acc.push(v); }
navigation(v).forEach(function(w) {
doDfs(g, w, postorder, visited, navigation, acc);
});
if (postorder) { acc.push(v); }
function preOrderDfs(v, navigation, visited, acc) {
var stack = [v];
while (stack.length > 0) {
var curr = stack.pop();
if (!visited.hasOwnProperty(curr)) {
visited[curr] = true;
acc.push(curr);
forEachRight(navigation(curr), w => stack.push(w));
}
}
}
function forEachRight(array, iteratee) {
var length = array.length;
while (length--) {
iteratee(array[length], length, array);
}
return array;
}
},{}],4:[function(require,module,exports){

@@ -392,5 +419,2 @@ var dijkstra = require("./dijkstra");

},{}],14:[function(require,module,exports){
module.exports = topsort;
topsort.CycleException = CycleException;
function topsort(g) {

@@ -424,8 +448,12 @@ var visited = {};

function CycleException() {}
CycleException.prototype = new Error(); // must be an instance of Error to pass testing
class CycleException extends Error {
constructor() {
super(...arguments);
}
}
module.exports = topsort;
topsort.CycleException = CycleException;
},{}],15:[function(require,module,exports){
module.exports = PriorityQueue;
/**

@@ -438,149 +466,149 @@ * A min-priority queue data structure. This algorithm is derived from Cormen,

*/
function PriorityQueue() {
this._arr = [];
this._keyIndices = {};
}
class PriorityQueue {
#arr = [];
#keyIndices = {};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/
PriorityQueue.prototype.size = function() {
return this._arr.length;
};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/
size() {
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 the keys that are in the queue. Takes `O(n)` time.
*/
keys() {
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 this._keyIndices.hasOwnProperty(key);
};
/**
* Returns `true` if **key** is in the queue and `false` if not.
*/
has(key) {
return this.#keyIndices.hasOwnProperty(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 priority for **key**. If **key** is not present in the queue
* then this function returns `undefined`. Takes `O(1)` time.
*
* @param {Object} key
*/
priority(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");
/**
* Returns the key for the minimum element in this queue. If the queue is
* empty this function throws an Error. Takes `O(1)` time.
*/
min() {
if (this.size() === 0) {
throw new Error("Queue underflow");
}
return this.#arr[0].key;
}
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 (!keyIndices.hasOwnProperty(key)) {
var arr = this._arr;
var index = arr.length;
keyIndices[key] = index;
arr.push({key: key, priority: priority});
this._decrease(index);
return true;
/**
* 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
*/
add(key, priority) {
var keyIndices = this.#keyIndices;
key = String(key);
if (!keyIndices.hasOwnProperty(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;
}
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;
};
/**
* Removes and returns the smallest key in the queue. Takes `O(log n)` time.
*/
removeMin() {
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);
/**
* 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
*/
decrease(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);
}
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 < arr.length) {
largest = arr[l].priority < arr[largest].priority ? l : largest;
if (r < arr.length) {
largest = arr[r].priority < arr[largest].priority ? r : largest;
#heapify(i) {
var arr = this.#arr;
var l = 2 * i;
var r = l + 1;
var 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);
}
}
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;
#decrease(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;
}
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;
};
#swap(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;
}
}
module.exports = PriorityQueue;
},{}],16:[function(require,module,exports){
"use strict";
module.exports = Graph;
var DEFAULT_EDGE_NAME = "\x00";

@@ -600,622 +628,625 @@ var GRAPH_NODE = "\x00";

function Graph(opts) {
this._isDirected = true;
this._isMultigraph = false;
this._isCompound = false;
class Graph {
#isDirected = true;
#isMultigraph = false;
#isCompound = false;
if (opts) {
this._isDirected = opts.hasOwnProperty("directed") ? opts.directed : true;
this._isMultigraph = opts.hasOwnProperty("multigraph") ? opts.multigraph : false;
this._isCompound = opts.hasOwnProperty("compound") ? opts.compound : false;
}
// Label for the graph itself
this._label = undefined;
#label;
// Defaults to be set when creating a new node
this._defaultNodeLabelFn = () => undefined;
#defaultNodeLabelFn = () => undefined;
// Defaults to be set when creating a new edge
this._defaultEdgeLabelFn = () => undefined;
#defaultEdgeLabelFn = () => undefined;
// v -> label
this._nodes = {};
#nodes = {};
if (this._isCompound) {
// v -> parent
this._parent = {};
// v -> children
this._children = {};
this._children[GRAPH_NODE] = {};
}
// v -> edgeObj
this._in = {};
#in = {};
// u -> v -> Number
this._preds = {};
#preds = {};
// v -> edgeObj
this._out = {};
#out = {};
// v -> w -> Number
this._sucs = {};
#sucs = {};
// e -> edgeObj
this._edgeObjs = {};
#edgeObjs = {};
// e -> label
this._edgeLabels = {};
}
#edgeLabels = {};
/* Number of nodes in the graph. Should only be changed by the implementation. */
Graph.prototype._nodeCount = 0;
/* Number of nodes in the graph. Should only be changed by the implementation. */
#nodeCount = 0;
/* Number of edges in the graph. Should only be changed by the implementation. */
Graph.prototype._edgeCount = 0;
/* Number of edges in the graph. Should only be changed by the implementation. */
#edgeCount = 0;
#parent;
/* === Graph functions ========= */
#children;
/**
* Whether graph was created with 'directed' flag set to true or not.
*/
Graph.prototype.isDirected = function() {
return this._isDirected;
};
constructor(opts) {
if (opts) {
this.#isDirected = opts.hasOwnProperty("directed") ? opts.directed : true;
this.#isMultigraph = opts.hasOwnProperty("multigraph") ? opts.multigraph : false;
this.#isCompound = opts.hasOwnProperty("compound") ? opts.compound : false;
}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/
Graph.prototype.isMultigraph = function() {
return this._isMultigraph;
};
if (this.#isCompound) {
// v -> parent
this.#parent = {};
/**
* Whether graph was created with 'compound' flag set to true or not.
*/
Graph.prototype.isCompound = function() {
return this._isCompound;
};
// v -> children
this.#children = {};
this.#children[GRAPH_NODE] = {};
}
}
/**
* Sets the label of the graph.
*/
Graph.prototype.setGraph = function(label) {
this._label = label;
return this;
};
/* === Graph functions ========= */
/**
* Gets the graph label.
*/
Graph.prototype.graph = function() {
return this._label;
};
/**
* Whether graph was created with 'directed' flag set to true or not.
*/
isDirected() {
return this.#isDirected;
}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/
isMultigraph() {
return this.#isMultigraph;
}
/* === Node functions ========== */
/**
* Whether graph was created with 'compound' flag set to true or not.
*/
isCompound() {
return this.#isCompound;
}
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/
Graph.prototype.setDefaultNodeLabel = function(newDefault) {
this._defaultNodeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this._defaultNodeLabelFn = () => newDefault;
/**
* Sets the label of the graph.
*/
setGraph(label) {
this.#label = label;
return this;
}
return this;
};
/**
* Gets the graph label.
*/
graph() {
return this.#label;
}
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/
Graph.prototype.nodeCount = function() {
return this._nodeCount;
};
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/
Graph.prototype.nodes = function() {
return Object.keys(this._nodes);
};
/* === Node functions ========== */
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/
Graph.prototype.sources = function() {
var self = this;
return this.nodes().filter(v => Object.keys(self._in[v]).length === 0);
};
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/
Graph.prototype.sinks = function() {
var self = this;
return this.nodes().filter(v => Object.keys(self._out[v]).length === 0);
};
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/
Graph.prototype.setNodes = function(vs, value) {
var args = arguments;
var self = this;
vs.forEach(function(v) {
if (args.length > 1) {
self.setNode(v, value);
} else {
self.setNode(v);
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/
setDefaultNodeLabel(newDefault) {
this.#defaultNodeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this.#defaultNodeLabelFn = () => newDefault;
}
});
return this;
};
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/
Graph.prototype.setNode = function(v, value) {
if (this._nodes.hasOwnProperty(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;
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/
nodeCount() {
return this.#nodeCount;
}
this._in[v] = {};
this._preds[v] = {};
this._out[v] = {};
this._sucs[v] = {};
++this._nodeCount;
return this;
};
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/
Graph.prototype.node = function(v) {
return this._nodes[v];
};
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/
nodes() {
return Object.keys(this.#nodes);
}
/**
* Detects whether graph has a node with specified name or not.
*/
Graph.prototype.hasNode = function(v) {
return this._nodes.hasOwnProperty(v);
};
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/
sources() {
var self = this;
return this.nodes().filter(v => Object.keys(self.#in[v]).length === 0);
}
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/
Graph.prototype.removeNode = function(v) {
var self = this;
if (this._nodes.hasOwnProperty(v)) {
var removeEdge = e => self.removeEdge(self._edgeObjs[e]);
delete this._nodes[v];
if (this._isCompound) {
this._removeFromParentsChildList(v);
delete this._parent[v];
this.children(v).forEach(function(child) {
self.setParent(child);
});
delete this._children[v];
}
Object.keys(this._in[v]).forEach(removeEdge);
delete this._in[v];
delete this._preds[v];
Object.keys(this._out[v]).forEach(removeEdge);
delete this._out[v];
delete this._sucs[v];
--this._nodeCount;
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/
sinks() {
var self = this;
return this.nodes().filter(v => Object.keys(self.#out[v]).length === 0);
}
return this;
};
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/
Graph.prototype.setParent = function(v, parent) {
if (!this._isCompound) {
throw new Error("Cannot set parent in a non-compound graph");
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/
setNodes(vs, value) {
var args = arguments;
var self = this;
vs.forEach(function(v) {
if (args.length > 1) {
self.setNode(v, value);
} else {
self.setNode(v);
}
});
return this;
}
if (parent === undefined) {
parent = GRAPH_NODE;
} else {
// Coerce parent to string
parent += "";
for (var ancestor = parent;
ancestor !== undefined;
ancestor = this.parent(ancestor)) {
if (ancestor === v) {
throw new Error("Setting " + parent+ " as parent of " + v +
" would create a cycle");
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/
setNode(v, value) {
if (this.#nodes.hasOwnProperty(v)) {
if (arguments.length > 1) {
this.#nodes[v] = value;
}
return this;
}
this.setNode(parent);
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;
}
this.setNode(v);
this._removeFromParentsChildList(v);
this._parent[v] = parent;
this._children[parent][v] = true;
return this;
};
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/
node(v) {
return this.#nodes[v];
}
Graph.prototype._removeFromParentsChildList = function(v) {
delete this._children[this._parent[v]][v];
};
/**
* Detects whether graph has a node with specified name or not.
*/
hasNode(v) {
return this.#nodes.hasOwnProperty(v);
}
/**
* Gets parent node for node v.
* Complexity: O(1).
*/
Graph.prototype.parent = function(v) {
if (this._isCompound) {
var parent = this._parent[v];
if (parent !== GRAPH_NODE) {
return parent;
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/
removeNode(v) {
var self = this;
if (this.#nodes.hasOwnProperty(v)) {
var removeEdge = e => self.removeEdge(self.#edgeObjs[e]);
delete this.#nodes[v];
if (this.#isCompound) {
this.#removeFromParentsChildList(v);
delete this.#parent[v];
this.children(v).forEach(function(child) {
self.setParent(child);
});
delete this.#children[v];
}
Object.keys(this.#in[v]).forEach(removeEdge);
delete this.#in[v];
delete this.#preds[v];
Object.keys(this.#out[v]).forEach(removeEdge);
delete this.#out[v];
delete this.#sucs[v];
--this.#nodeCount;
}
return this;
}
};
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/
Graph.prototype.children = function(v = GRAPH_NODE) {
if (this._isCompound) {
var children = this._children[v];
if (children) {
return Object.keys(children);
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/
setParent(v, parent) {
if (!this.#isCompound) {
throw new Error("Cannot set parent in a non-compound graph");
}
} else if (v === GRAPH_NODE) {
return this.nodes();
} else if (this.hasNode(v)) {
return [];
if (parent === undefined) {
parent = GRAPH_NODE;
} else {
// Coerce parent to string
parent += "";
for (var ancestor = parent; ancestor !== undefined; 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;
}
};
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
Graph.prototype.predecessors = function(v) {
var predsV = this._preds[v];
if (predsV) {
return Object.keys(predsV);
#removeFromParentsChildList(v) {
delete this.#children[this.#parent[v]][v];
}
};
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
Graph.prototype.successors = function(v) {
var sucsV = this._sucs[v];
if (sucsV) {
return Object.keys(sucsV);
/**
* Gets parent node for node v.
* Complexity: O(1).
*/
parent(v) {
if (this.#isCompound) {
var parent = this.#parent[v];
if (parent !== GRAPH_NODE) {
return parent;
}
}
}
};
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/
Graph.prototype.neighbors = function(v) {
var preds = this.predecessors(v);
if (preds) {
const union = new Set(preds);
for (var succ of this.successors(v)) {
union.add(succ);
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/
children(v = GRAPH_NODE) {
if (this.#isCompound) {
var children = this.#children[v];
if (children) {
return Object.keys(children);
}
} else if (v === GRAPH_NODE) {
return this.nodes();
} else if (this.hasNode(v)) {
return [];
}
}
return Array.from(union.values());
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
predecessors(v) {
var predsV = this.#preds[v];
if (predsV) {
return Object.keys(predsV);
}
}
};
Graph.prototype.isLeaf = function (v) {
var neighbors;
if (this.isDirected()) {
neighbors = this.successors(v);
} else {
neighbors = this.neighbors(v);
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
successors(v) {
var sucsV = this.#sucs[v];
if (sucsV) {
return Object.keys(sucsV);
}
}
return neighbors.length === 0;
};
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/
Graph.prototype.filterNodes = function(filter) {
var copy = new this.constructor({
directed: this._isDirected,
multigraph: this._isMultigraph,
compound: this._isCompound
});
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/
neighbors(v) {
var preds = this.predecessors(v);
if (preds) {
const union = new Set(preds);
for (var succ of this.successors(v)) {
union.add(succ);
}
copy.setGraph(this.graph());
var self = this;
Object.entries(this._nodes).forEach(function([v, value]) {
if (filter(v)) {
copy.setNode(v, value);
return Array.from(union.values());
}
});
}
Object.values(this._edgeObjs).forEach(function(e) {
if (copy.hasNode(e.v) && copy.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];
isLeaf(v) {
var neighbors;
if (this.isDirected()) {
neighbors = this.successors(v);
} else {
return findParent(parent);
neighbors = this.neighbors(v);
}
return neighbors.length === 0;
}
if (this._isCompound) {
copy.nodes().forEach(v => copy.setParent(v, findParent(v)));
}
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/
filterNodes(filter) {
var copy = new this.constructor({
directed: this.#isDirected,
multigraph: this.#isMultigraph,
compound: this.#isCompound
});
return copy;
};
copy.setGraph(this.graph());
/* === Edge functions ========== */
var self = this;
Object.entries(this.#nodes).forEach(function([v, value]) {
if (filter(v)) {
copy.setNode(v, value);
}
});
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/
Graph.prototype.setDefaultEdgeLabel = function(newDefault) {
this._defaultEdgeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this._defaultEdgeLabelFn = () => newDefault;
}
Object.values(this.#edgeObjs).forEach(function(e) {
if (copy.hasNode(e.v) && copy.hasNode(e.w)) {
copy.setEdge(e, self.edge(e));
}
});
return 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);
}
}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/
Graph.prototype.edgeCount = function() {
return this._edgeCount;
};
if (this.#isCompound) {
copy.nodes().forEach(v => copy.setParent(v, findParent(v)));
}
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/
Graph.prototype.edges = function() {
return Object.values(this._edgeObjs);
};
return copy;
}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/
Graph.prototype.setPath = function(vs, value) {
var self = this;
var args = arguments;
vs.reduce(function(v, w) {
if (args.length > 1) {
self.setEdge(v, w, value);
} else {
self.setEdge(v, w);
/* === Edge functions ========== */
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/
setDefaultEdgeLabel(newDefault) {
this.#defaultEdgeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this.#defaultEdgeLabelFn = () => newDefault;
}
return w;
});
return this;
};
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/
Graph.prototype.setEdge = function() {
var v, w, name, value;
var valueSpecified = false;
var arg0 = arguments[0];
return this;
}
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;
}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/
edgeCount() {
return this.#edgeCount;
}
v = "" + v;
w = "" + w;
if (name !== undefined) {
name = "" + name;
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/
edges() {
return Object.values(this.#edgeObjs);
}
var e = edgeArgsToId(this._isDirected, v, w, name);
if (this._edgeLabels.hasOwnProperty(e)) {
if (valueSpecified) {
this._edgeLabels[e] = value;
}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/
setPath(vs, value) {
var self = this;
var args = arguments;
vs.reduce(function(v, w) {
if (args.length > 1) {
self.setEdge(v, w, value);
} else {
self.setEdge(v, w);
}
return w;
});
return this;
}
if (name !== undefined && !this._isMultigraph) {
throw new Error("Cannot set a named edge when isMultigraph = false");
}
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/
setEdge() {
var v, w, name, value;
var valueSpecified = false;
var arg0 = arguments[0];
// It didn't exist, so we need to create it.
// First ensure the nodes exist.
this.setNode(v);
this.setNode(w);
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;
}
}
this._edgeLabels[e] = valueSpecified ? value : this._defaultEdgeLabelFn(v, w, name);
v = "" + v;
w = "" + w;
if (name !== undefined) {
name = "" + name;
}
var edgeObj = edgeArgsToObj(this._isDirected, v, w, name);
// Ensure we add undirected edges in a consistent way.
v = edgeObj.v;
w = edgeObj.w;
var e = edgeArgsToId(this.#isDirected, v, w, name);
if (this.#edgeLabels.hasOwnProperty(e)) {
if (valueSpecified) {
this.#edgeLabels[e] = value;
}
return this;
}
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;
};
if (name !== undefined && !this.#isMultigraph) {
throw new Error("Cannot set a named edge when isMultigraph = false");
}
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/
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];
};
// It didn't exist, so we need to create it.
// First ensure the nodes exist.
this.setNode(v);
this.setNode(w);
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/
Graph.prototype.hasEdge = function(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this._isDirected, arguments[0])
: edgeArgsToId(this._isDirected, v, w, name));
return this._edgeLabels.hasOwnProperty(e);
};
this.#edgeLabels[e] = valueSpecified ? value : this.#defaultEdgeLabelFn(v, w, name);
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/
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--;
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;
}
return this;
};
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
Graph.prototype.inEdges = function(v, u) {
var inV = this._in[v];
if (inV) {
var edges = Object.values(inV);
if (!u) {
return edges;
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/
edge(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this.#isDirected, arguments[0])
: edgeArgsToId(this.#isDirected, v, w, name));
return this.#edgeLabels[e];
}
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/
hasEdge(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this.#isDirected, arguments[0])
: edgeArgsToId(this.#isDirected, v, w, name));
return this.#edgeLabels.hasOwnProperty(e);
}
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/
removeEdge(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 edges.filter(edge => edge.v === u);
return this;
}
};
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
Graph.prototype.outEdges = function(v, w) {
var outV = this._out[v];
if (outV) {
var edges = Object.values(outV);
if (!w) {
return edges;
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
inEdges(v, u) {
var inV = this.#in[v];
if (inV) {
var edges = Object.values(inV);
if (!u) {
return edges;
}
return edges.filter(edge => edge.v === u);
}
return edges.filter(edge => edge.w === w);
}
};
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/
Graph.prototype.nodeEdges = function(v, w) {
var inEdges = this.inEdges(v, w);
if (inEdges) {
return inEdges.concat(this.outEdges(v, w));
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
outEdges(v, w) {
var outV = this.#out[v];
if (outV) {
var edges = Object.values(outV);
if (!w) {
return edges;
}
return edges.filter(edge => edge.w === w);
}
}
};
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/
nodeEdges(v, w) {
var inEdges = this.inEdges(v, w);
if (inEdges) {
return inEdges.concat(this.outEdges(v, w));
}
}
}
function incrementOrInitEntry(map, k) {

@@ -1264,2 +1295,4 @@ if (map[k]) {

module.exports = Graph;
},{}],17:[function(require,module,exports){

@@ -1355,5 +1388,5 @@ // Includes only the "core" of graphlib

},{"./graph":16}],19:[function(require,module,exports){
module.exports = '2.1.9';
module.exports = '2.1.11';
},{}]},{},[1])(1)
});

@@ -38,8 +38,7 @@ (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;i<t.length;i++)o(t[i]);return o}return r}()({1:[function(require,module,exports){

*
* Order must be one of "pre" or "post".
*/function dfs(g,vs,order){if(!Array.isArray(vs)){vs=[vs]}var navigation=(g.isDirected()?g.successors:g.neighbors).bind(g);var acc=[];var visited={};vs.forEach(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(!visited.hasOwnProperty(v)){visited[v]=true;if(!postorder){acc.push(v)}navigation(v).forEach(function(w){doDfs(g,w,postorder,visited,navigation,acc)});if(postorder){acc.push(v)}}}},{}],4:[function(require,module,exports){var dijkstra=require("./dijkstra");module.exports=dijkstraAll;function dijkstraAll(g,weightFunc,edgeFunc){return g.nodes().reduce(function(acc,v){acc[v]=dijkstra(g,v,weightFunc,edgeFunc);return acc},{})}},{"./dijkstra":5}],5:[function(require,module,exports){var PriorityQueue=require("../data/priority-queue");module.exports=dijkstra;var DEFAULT_WEIGHT_FUNC=()=>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={};var pq=new PriorityQueue;var v,vEntry;var updateNeighbors=function(edge){var w=edge.v!==v?edge.v:edge.w;var wEntry=results[w];var weight=weightFn(edge);var 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}],6:[function(require,module,exports){var tarjan=require("./tarjan");module.exports=findCycles;function findCycles(g){return tarjan(g).filter(function(cmpt){return cmpt.length>1||cmpt.length===1&&g.hasEdge(cmpt[0],cmpt[0])})}},{"./tarjan":13}],7:[function(require,module,exports){module.exports=floydWarshall;var DEFAULT_WEIGHT_FUNC=()=>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(altDistance<ij.distance){ij.distance=altDistance;ij.predecessor=kj.predecessor}})})});return results}},{}],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 Graph=require("../graph");var PriorityQueue=require("../data/priority-queue");module.exports=prim;function prim(g,weightFunc){var result=new Graph;var parents={};var pq=new PriorityQueue;var v;function updateNeighbors(edge){var w=edge.v===v?edge.w:edge.v;var 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}g.nodes().forEach(function(v){pq.add(v,Number.POSITIVE_INFINITY);result.setNode(v)});
* If the order is not "post", it will be treated as "pre".
*/function dfs(g,vs,order){if(!Array.isArray(vs)){vs=[vs]}var navigation=g.isDirected()?v=>g.successors(v):v=>g.neighbors(v);var orderFunc=order==="post"?postOrderDfs:preOrderDfs;var acc=[];var visited={};vs.forEach(v=>{if(!g.hasNode(v)){throw new Error("Graph does not have node: "+v)}orderFunc(v,navigation,visited,acc)});return acc}function postOrderDfs(v,navigation,visited,acc){var stack=[[v,false]];while(stack.length>0){var curr=stack.pop();if(curr[1]){acc.push(curr[0])}else{if(!visited.hasOwnProperty(curr[0])){visited[curr[0]]=true;stack.push([curr[0],true]);forEachRight(navigation(curr[0]),w=>stack.push([w,false]))}}}}function preOrderDfs(v,navigation,visited,acc){var stack=[v];while(stack.length>0){var curr=stack.pop();if(!visited.hasOwnProperty(curr)){visited[curr]=true;acc.push(curr);forEachRight(navigation(curr),w=>stack.push(w))}}}function forEachRight(array,iteratee){var length=array.length;while(length--){iteratee(array[length],length,array)}return array}},{}],4:[function(require,module,exports){var dijkstra=require("./dijkstra");module.exports=dijkstraAll;function dijkstraAll(g,weightFunc,edgeFunc){return g.nodes().reduce(function(acc,v){acc[v]=dijkstra(g,v,weightFunc,edgeFunc);return acc},{})}},{"./dijkstra":5}],5:[function(require,module,exports){var PriorityQueue=require("../data/priority-queue");module.exports=dijkstra;var DEFAULT_WEIGHT_FUNC=()=>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={};var pq=new PriorityQueue;var v,vEntry;var updateNeighbors=function(edge){var w=edge.v!==v?edge.v:edge.w;var wEntry=results[w];var weight=weightFn(edge);var 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}],6:[function(require,module,exports){var tarjan=require("./tarjan");module.exports=findCycles;function findCycles(g){return tarjan(g).filter(function(cmpt){return cmpt.length>1||cmpt.length===1&&g.hasEdge(cmpt[0],cmpt[0])})}},{"./tarjan":13}],7:[function(require,module,exports){module.exports=floydWarshall;var DEFAULT_WEIGHT_FUNC=()=>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(altDistance<ij.distance){ij.distance=altDistance;ij.predecessor=kj.predecessor}})})});return results}},{}],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 Graph=require("../graph");var PriorityQueue=require("../data/priority-queue");module.exports=prim;function prim(g,weightFunc){var result=new Graph;var parents={};var pq=new PriorityQueue;var v;function updateNeighbors(edge){var w=edge.v===v?edge.w:edge.v;var 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}g.nodes().forEach(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(parents.hasOwnProperty(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}],13:[function(require,module,exports){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(!visited.hasOwnProperty(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(!visited.hasOwnProperty(v)){dfs(v)}});return results}},{}],14:[function(require,module,exports){module.exports=topsort;topsort.CycleException=CycleException;function topsort(g){var visited={};var stack={};var results=[];function visit(node){if(stack.hasOwnProperty(node)){throw new CycleException}if(!visited.hasOwnProperty(node)){stack[node]=true;visited[node]=true;g.predecessors(node).forEach(visit);delete stack[node];results.push(node)}}g.sinks().forEach(visit);if(Object.keys(visited).length!==g.nodeCount()){throw new CycleException}return results}function CycleException(){}CycleException.prototype=new Error;// must be an instance of Error to pass testing
},{}],15:[function(require,module,exports){module.exports=PriorityQueue;
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(!visited.hasOwnProperty(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(!visited.hasOwnProperty(v)){dfs(v)}});return results}},{}],14:[function(require,module,exports){function topsort(g){var visited={};var stack={};var results=[];function visit(node){if(stack.hasOwnProperty(node)){throw new CycleException}if(!visited.hasOwnProperty(node)){stack[node]=true;visited[node]=true;g.predecessors(node).forEach(visit);delete stack[node];results.push(node)}}g.sinks().forEach(visit);if(Object.keys(visited).length!==g.nodeCount()){throw new CycleException}return results}class CycleException extends Error{constructor(){super(...arguments)}}module.exports=topsort;topsort.CycleException=CycleException},{}],15:[function(require,module,exports){
/**

@@ -51,40 +50,41 @@ * A min-priority queue data structure. This algorithm is derived from Cormen,

* have its priority decreased in O(log n) time.
*/function PriorityQueue(){this._arr=[];this._keyIndices={}}
*/
class PriorityQueue{#arr=[];#keyIndices={};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/PriorityQueue.prototype.size=function(){return this._arr.length};
* Returns the number of elements in the queue. Takes `O(1)` time.
*/size(){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 the keys that are in the queue. Takes `O(n)` time.
*/keys(){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 this._keyIndices.hasOwnProperty(key)};
* Returns `true` if **key** is in the queue and `false` if not.
*/has(key){return this.#keyIndices.hasOwnProperty(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 priority for **key**. If **key** is not present in the queue
* then this function returns `undefined`. Takes `O(1)` time.
*
* @param {Object} key
*/priority(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};
* Returns the key for the minimum element in this queue. If the queue is
* empty this function throws an Error. Takes `O(1)` time.
*/min(){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(!keyIndices.hasOwnProperty(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};
* 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
*/add(key,priority){var keyIndices=this.#keyIndices;key=String(key);if(!keyIndices.hasOwnProperty(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};
* Removes and returns the smallest key in the queue. Takes `O(log n)` time.
*/removeMin(){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<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}},{}],16:[function(require,module,exports){"use strict";module.exports=Graph;var DEFAULT_EDGE_NAME="\0";var GRAPH_NODE="\0";var EDGE_KEY_DELIM="";
* 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
*/decrease(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)}#heapify(i){var arr=this.#arr;var l=2*i;var r=l+1;var 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)}}}#decrease(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}}#swap(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}}module.exports=PriorityQueue},{}],16:[function(require,module,exports){"use strict";var DEFAULT_EDGE_NAME="\0";var GRAPH_NODE="\0";var EDGE_KEY_DELIM="";
// Implementation notes:

@@ -99,190 +99,190 @@ //

// we're going to get to a performant hashtable in JavaScript.
function Graph(opts){this._isDirected=true;this._isMultigraph=false;this._isCompound=false;if(opts){this._isDirected=opts.hasOwnProperty("directed")?opts.directed:true;this._isMultigraph=opts.hasOwnProperty("multigraph")?opts.multigraph:false;this._isCompound=opts.hasOwnProperty("compound")?opts.compound:false}
class Graph{#isDirected=true;#isMultigraph=false;#isCompound=false;
// Label for the graph itself
this._label=undefined;
#label;
// Defaults to be set when creating a new node
this._defaultNodeLabelFn=()=>undefined;
#defaultNodeLabelFn=()=>undefined;
// Defaults to be set when creating a new edge
this._defaultEdgeLabelFn=()=>undefined;
#defaultEdgeLabelFn=()=>undefined;
// v -> label
this._nodes={};if(this._isCompound){
// v -> parent
this._parent={};
// v -> children
this._children={};this._children[GRAPH_NODE]={}}
#nodes={};
// v -> edgeObj
this._in={};
#in={};
// u -> v -> Number
this._preds={};
#preds={};
// v -> edgeObj
this._out={};
#out={};
// v -> w -> Number
this._sucs={};
#sucs={};
// e -> edgeObj
this._edgeObjs={};
#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;
#edgeLabels={};
/* Number of nodes in the graph. Should only be changed by the implementation. */#nodeCount=0;
/* Number of edges in the graph. Should only be changed by the implementation. */#edgeCount=0;#parent;#children;constructor(opts){if(opts){this.#isDirected=opts.hasOwnProperty("directed")?opts.directed:true;this.#isMultigraph=opts.hasOwnProperty("multigraph")?opts.multigraph:false;this.#isCompound=opts.hasOwnProperty("compound")?opts.compound:false}if(this.#isCompound){
// v -> parent
this.#parent={};
// v -> children
this.#children={};this.#children[GRAPH_NODE]={}}}
/* === Graph functions ========= */
/**
* Whether graph was created with 'directed' flag set to true or not.
*/Graph.prototype.isDirected=function(){return this._isDirected};
* Whether graph was created with 'directed' flag set to true or not.
*/isDirected(){return this.#isDirected}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/Graph.prototype.isMultigraph=function(){return this._isMultigraph};
* Whether graph was created with 'multigraph' flag set to true or not.
*/isMultigraph(){return this.#isMultigraph}
/**
* Whether graph was created with 'compound' flag set to true or not.
*/Graph.prototype.isCompound=function(){return this._isCompound};
* Whether graph was created with 'compound' flag set to true or not.
*/isCompound(){return this.#isCompound}
/**
* Sets the label of the graph.
*/Graph.prototype.setGraph=function(label){this._label=label;return this};
* Sets the label of the graph.
*/setGraph(label){this.#label=label;return this}
/**
* Gets the graph label.
*/Graph.prototype.graph=function(){return this._label};
* Gets the graph label.
*/graph(){return this.#label}
/* === Node functions ========== */
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/Graph.prototype.setDefaultNodeLabel=function(newDefault){this._defaultNodeLabelFn=newDefault;if(typeof newDefault!=="function"){this._defaultNodeLabelFn=()=>newDefault}return this};
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/setDefaultNodeLabel(newDefault){this.#defaultNodeLabelFn=newDefault;if(typeof newDefault!=="function"){this.#defaultNodeLabelFn=()=>newDefault}return this}
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/Graph.prototype.nodeCount=function(){return this._nodeCount};
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/nodeCount(){return this.#nodeCount}
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/Graph.prototype.nodes=function(){return Object.keys(this._nodes)};
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/nodes(){return Object.keys(this.#nodes)}
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/Graph.prototype.sources=function(){var self=this;return this.nodes().filter(v=>Object.keys(self._in[v]).length===0)};
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/sources(){var self=this;return this.nodes().filter(v=>Object.keys(self.#in[v]).length===0)}
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/Graph.prototype.sinks=function(){var self=this;return this.nodes().filter(v=>Object.keys(self._out[v]).length===0)};
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/sinks(){var self=this;return this.nodes().filter(v=>Object.keys(self.#out[v]).length===0)}
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/Graph.prototype.setNodes=function(vs,value){var args=arguments;var self=this;vs.forEach(function(v){if(args.length>1){self.setNode(v,value)}else{self.setNode(v)}});return this};
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/setNodes(vs,value){var args=arguments;var self=this;vs.forEach(function(v){if(args.length>1){self.setNode(v,value)}else{self.setNode(v)}});return this}
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/Graph.prototype.setNode=function(v,value){if(this._nodes.hasOwnProperty(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};
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/setNode(v,value){if(this.#nodes.hasOwnProperty(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}
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/Graph.prototype.node=function(v){return this._nodes[v]};
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/node(v){return this.#nodes[v]}
/**
* Detects whether graph has a node with specified name or not.
*/Graph.prototype.hasNode=function(v){return this._nodes.hasOwnProperty(v)};
* Detects whether graph has a node with specified name or not.
*/hasNode(v){return this.#nodes.hasOwnProperty(v)}
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/Graph.prototype.removeNode=function(v){var self=this;if(this._nodes.hasOwnProperty(v)){var removeEdge=e=>self.removeEdge(self._edgeObjs[e]);delete this._nodes[v];if(this._isCompound){this._removeFromParentsChildList(v);delete this._parent[v];this.children(v).forEach(function(child){self.setParent(child)});delete this._children[v]}Object.keys(this._in[v]).forEach(removeEdge);delete this._in[v];delete this._preds[v];Object.keys(this._out[v]).forEach(removeEdge);delete this._out[v];delete this._sucs[v];--this._nodeCount}return this};
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/removeNode(v){var self=this;if(this.#nodes.hasOwnProperty(v)){var removeEdge=e=>self.removeEdge(self.#edgeObjs[e]);delete this.#nodes[v];if(this.#isCompound){this.#removeFromParentsChildList(v);delete this.#parent[v];this.children(v).forEach(function(child){self.setParent(child)});delete this.#children[v]}Object.keys(this.#in[v]).forEach(removeEdge);delete this.#in[v];delete this.#preds[v];Object.keys(this.#out[v]).forEach(removeEdge);delete this.#out[v];delete this.#sucs[v];--this.#nodeCount}return this}
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/Graph.prototype.setParent=function(v,parent){if(!this._isCompound){throw new Error("Cannot set parent in a non-compound graph")}if(parent===undefined){parent=GRAPH_NODE}else{
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/setParent(v,parent){if(!this.#isCompound){throw new Error("Cannot set parent in a non-compound graph")}if(parent===undefined){parent=GRAPH_NODE}else{
// Coerce parent to string
parent+="";for(var ancestor=parent;ancestor!==undefined;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]};
parent+="";for(var ancestor=parent;ancestor!==undefined;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}#removeFromParentsChildList(v){delete this.#children[this.#parent[v]][v]}
/**
* Gets parent node for node v.
* Complexity: O(1).
*/Graph.prototype.parent=function(v){if(this._isCompound){var parent=this._parent[v];if(parent!==GRAPH_NODE){return parent}}};
* Gets parent node for node v.
* Complexity: O(1).
*/parent(v){if(this.#isCompound){var parent=this.#parent[v];if(parent!==GRAPH_NODE){return parent}}}
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/Graph.prototype.children=function(v=GRAPH_NODE){if(this._isCompound){var children=this._children[v];if(children){return Object.keys(children)}}else if(v===GRAPH_NODE){return this.nodes()}else if(this.hasNode(v)){return[]}};
* Gets list of direct children of node v.
* Complexity: O(1).
*/children(v=GRAPH_NODE){if(this.#isCompound){var children=this.#children[v];if(children){return Object.keys(children)}}else if(v===GRAPH_NODE){return this.nodes()}else if(this.hasNode(v)){return[]}}
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/Graph.prototype.predecessors=function(v){var predsV=this._preds[v];if(predsV){return Object.keys(predsV)}};
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/predecessors(v){var predsV=this.#preds[v];if(predsV){return Object.keys(predsV)}}
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/Graph.prototype.successors=function(v){var sucsV=this._sucs[v];if(sucsV){return Object.keys(sucsV)}};
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/successors(v){var sucsV=this.#sucs[v];if(sucsV){return Object.keys(sucsV)}}
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/Graph.prototype.neighbors=function(v){var preds=this.predecessors(v);if(preds){const union=new Set(preds);for(var succ of this.successors(v)){union.add(succ)}return Array.from(union.values())}};Graph.prototype.isLeaf=function(v){var neighbors;if(this.isDirected()){neighbors=this.successors(v)}else{neighbors=this.neighbors(v)}return neighbors.length===0};
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/neighbors(v){var preds=this.predecessors(v);if(preds){const union=new Set(preds);for(var succ of this.successors(v)){union.add(succ)}return Array.from(union.values())}}isLeaf(v){var neighbors;if(this.isDirected()){neighbors=this.successors(v)}else{neighbors=this.neighbors(v)}return neighbors.length===0}
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/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;Object.entries(this._nodes).forEach(function([v,value]){if(filter(v)){copy.setNode(v,value)}});Object.values(this._edgeObjs).forEach(function(e){if(copy.hasNode(e.v)&&copy.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){copy.nodes().forEach(v=>copy.setParent(v,findParent(v)))}return copy};
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/filterNodes(filter){var copy=new this.constructor({directed:this.#isDirected,multigraph:this.#isMultigraph,compound:this.#isCompound});copy.setGraph(this.graph());var self=this;Object.entries(this.#nodes).forEach(function([v,value]){if(filter(v)){copy.setNode(v,value)}});Object.values(this.#edgeObjs).forEach(function(e){if(copy.hasNode(e.v)&&copy.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){copy.nodes().forEach(v=>copy.setParent(v,findParent(v)))}return copy}
/* === Edge functions ========== */
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/Graph.prototype.setDefaultEdgeLabel=function(newDefault){this._defaultEdgeLabelFn=newDefault;if(typeof newDefault!=="function"){this._defaultEdgeLabelFn=()=>newDefault}return this};
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/setDefaultEdgeLabel(newDefault){this.#defaultEdgeLabelFn=newDefault;if(typeof newDefault!=="function"){this.#defaultEdgeLabelFn=()=>newDefault}return this}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/Graph.prototype.edgeCount=function(){return this._edgeCount};
* Gets the number of edges in the graph.
* Complexity: O(1).
*/edgeCount(){return this.#edgeCount}
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/Graph.prototype.edges=function(){return Object.values(this._edgeObjs)};
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/edges(){return Object.values(this.#edgeObjs)}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/Graph.prototype.setPath=function(vs,value){var self=this;var args=arguments;vs.reduce(function(v,w){if(args.length>1){self.setEdge(v,w,value)}else{self.setEdge(v,w)}return w});return this};
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/setPath(vs,value){var self=this;var args=arguments;vs.reduce(function(v,w){if(args.length>1){self.setEdge(v,w,value)}else{self.setEdge(v,w)}return w});return this}
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/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(name!==undefined){name=""+name}var e=edgeArgsToId(this._isDirected,v,w,name);if(this._edgeLabels.hasOwnProperty(e)){if(valueSpecified){this._edgeLabels[e]=value}return this}if(name!==undefined&&!this._isMultigraph){throw new Error("Cannot set a named edge when isMultigraph = false")}
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/setEdge(){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(name!==undefined){name=""+name}var e=edgeArgsToId(this.#isDirected,v,w,name);if(this.#edgeLabels.hasOwnProperty(e)){if(valueSpecified){this.#edgeLabels[e]=value}return this}if(name!==undefined&&!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);
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};
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}
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/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]};
* Gets the label for the specified edge.
* Complexity: O(1).
*/edge(v,w,name){var e=arguments.length===1?edgeObjToId(this.#isDirected,arguments[0]):edgeArgsToId(this.#isDirected,v,w,name);return this.#edgeLabels[e]}
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/Graph.prototype.hasEdge=function(v,w,name){var e=arguments.length===1?edgeObjToId(this._isDirected,arguments[0]):edgeArgsToId(this._isDirected,v,w,name);return this._edgeLabels.hasOwnProperty(e)};
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/hasEdge(v,w,name){var e=arguments.length===1?edgeObjToId(this.#isDirected,arguments[0]):edgeArgsToId(this.#isDirected,v,w,name);return this.#edgeLabels.hasOwnProperty(e)}
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/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};
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/removeEdge(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}
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/Graph.prototype.inEdges=function(v,u){var inV=this._in[v];if(inV){var edges=Object.values(inV);if(!u){return edges}return edges.filter(edge=>edge.v===u)}};
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/inEdges(v,u){var inV=this.#in[v];if(inV){var edges=Object.values(inV);if(!u){return edges}return edges.filter(edge=>edge.v===u)}}
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/Graph.prototype.outEdges=function(v,w){var outV=this._out[v];if(outV){var edges=Object.values(outV);if(!w){return edges}return edges.filter(edge=>edge.w===w)}};
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/outEdges(v,w){var outV=this.#out[v];if(outV){var edges=Object.values(outV);if(!w){return edges}return edges.filter(edge=>edge.w===w)}}
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/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+(name===undefined?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)}},{}],17:[function(require,module,exports){
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/nodeEdges(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+(name===undefined?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)}module.exports=Graph},{}],17:[function(require,module,exports){
// Includes only the "core" of graphlib

@@ -303,2 +303,2 @@ module.exports={Graph:require("./graph"),version:require("./version")}},{"./graph":16,"./version":19}],18:[function(require,module,exports){var Graph=require("./graph");module.exports={write:write,read:read};

* // [ { v: 'a', w: 'b' } ]
*/function read(json){var g=new Graph(json.options).setGraph(json.value);json.nodes.forEach(function(entry){g.setNode(entry.v,entry.value);if(entry.parent){g.setParent(entry.v,entry.parent)}});json.edges.forEach(function(entry){g.setEdge({v:entry.v,w:entry.w,name:entry.name},entry.value)});return g}},{"./graph":16}],19:[function(require,module,exports){module.exports="2.1.9"},{}]},{},[1])(1)});
*/function read(json){var g=new Graph(json.options).setGraph(json.value);json.nodes.forEach(function(entry){g.setNode(entry.v,entry.value);if(entry.parent){g.setParent(entry.v,entry.parent)}});json.edges.forEach(function(entry){g.setEdge({v:entry.v,w:entry.w,name:entry.name},entry.value)});return g}},{"./graph":16}],19:[function(require,module,exports){module.exports="2.1.11"},{}]},{},[1])(1)});

@@ -77,3 +77,3 @@ (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;i<t.length;i++)o(t[i]);return o}return r})()({1:[function(require,module,exports){

*
* Order must be one of "pre" or "post".
* If the order is not "post", it will be treated as "pre".
*/

@@ -85,7 +85,8 @@ function dfs(g, vs, order) {

var navigation = (g.isDirected() ? g.successors : g.neighbors).bind(g);
var navigation = g.isDirected() ? v => g.successors(v) : v => g.neighbors(v);
var orderFunc = order === "post" ? postOrderDfs : preOrderDfs;
var acc = [];
var visited = {};
vs.forEach(function(v) {
vs.forEach(v => {
if (!g.hasNode(v)) {

@@ -95,19 +96,45 @@ throw new Error("Graph does not have node: " + v);

doDfs(g, v, order === "post", visited, navigation, acc);
orderFunc(v, navigation, visited, acc);
});
return acc;
}
function doDfs(g, v, postorder, visited, navigation, acc) {
if (!visited.hasOwnProperty(v)) {
visited[v] = true;
function postOrderDfs(v, navigation, visited, acc) {
var stack = [[v, false]];
while (stack.length > 0) {
var curr = stack.pop();
if (curr[1]) {
acc.push(curr[0]);
} else {
if (!visited.hasOwnProperty(curr[0])) {
visited[curr[0]] = true;
stack.push([curr[0], true]);
forEachRight(navigation(curr[0]), w => stack.push([w, false]));
}
}
}
}
if (!postorder) { acc.push(v); }
navigation(v).forEach(function(w) {
doDfs(g, w, postorder, visited, navigation, acc);
});
if (postorder) { acc.push(v); }
function preOrderDfs(v, navigation, visited, acc) {
var stack = [v];
while (stack.length > 0) {
var curr = stack.pop();
if (!visited.hasOwnProperty(curr)) {
visited[curr] = true;
acc.push(curr);
forEachRight(navigation(curr), w => stack.push(w));
}
}
}
function forEachRight(array, iteratee) {
var length = array.length;
while (length--) {
iteratee(array[length], length, array);
}
return array;
}
},{}],4:[function(require,module,exports){

@@ -392,5 +419,2 @@ var dijkstra = require("./dijkstra");

},{}],14:[function(require,module,exports){
module.exports = topsort;
topsort.CycleException = CycleException;
function topsort(g) {

@@ -424,8 +448,12 @@ var visited = {};

function CycleException() {}
CycleException.prototype = new Error(); // must be an instance of Error to pass testing
class CycleException extends Error {
constructor() {
super(...arguments);
}
}
module.exports = topsort;
topsort.CycleException = CycleException;
},{}],15:[function(require,module,exports){
module.exports = PriorityQueue;
/**

@@ -438,149 +466,149 @@ * A min-priority queue data structure. This algorithm is derived from Cormen,

*/
function PriorityQueue() {
this._arr = [];
this._keyIndices = {};
}
class PriorityQueue {
#arr = [];
#keyIndices = {};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/
PriorityQueue.prototype.size = function() {
return this._arr.length;
};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/
size() {
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 the keys that are in the queue. Takes `O(n)` time.
*/
keys() {
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 this._keyIndices.hasOwnProperty(key);
};
/**
* Returns `true` if **key** is in the queue and `false` if not.
*/
has(key) {
return this.#keyIndices.hasOwnProperty(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 priority for **key**. If **key** is not present in the queue
* then this function returns `undefined`. Takes `O(1)` time.
*
* @param {Object} key
*/
priority(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");
/**
* Returns the key for the minimum element in this queue. If the queue is
* empty this function throws an Error. Takes `O(1)` time.
*/
min() {
if (this.size() === 0) {
throw new Error("Queue underflow");
}
return this.#arr[0].key;
}
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 (!keyIndices.hasOwnProperty(key)) {
var arr = this._arr;
var index = arr.length;
keyIndices[key] = index;
arr.push({key: key, priority: priority});
this._decrease(index);
return true;
/**
* 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
*/
add(key, priority) {
var keyIndices = this.#keyIndices;
key = String(key);
if (!keyIndices.hasOwnProperty(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;
}
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;
};
/**
* Removes and returns the smallest key in the queue. Takes `O(log n)` time.
*/
removeMin() {
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);
/**
* 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
*/
decrease(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);
}
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 < arr.length) {
largest = arr[l].priority < arr[largest].priority ? l : largest;
if (r < arr.length) {
largest = arr[r].priority < arr[largest].priority ? r : largest;
#heapify(i) {
var arr = this.#arr;
var l = 2 * i;
var r = l + 1;
var 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);
}
}
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;
#decrease(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;
}
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;
};
#swap(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;
}
}
module.exports = PriorityQueue;
},{}],16:[function(require,module,exports){
"use strict";
module.exports = Graph;
var DEFAULT_EDGE_NAME = "\x00";

@@ -600,622 +628,625 @@ var GRAPH_NODE = "\x00";

function Graph(opts) {
this._isDirected = true;
this._isMultigraph = false;
this._isCompound = false;
class Graph {
#isDirected = true;
#isMultigraph = false;
#isCompound = false;
if (opts) {
this._isDirected = opts.hasOwnProperty("directed") ? opts.directed : true;
this._isMultigraph = opts.hasOwnProperty("multigraph") ? opts.multigraph : false;
this._isCompound = opts.hasOwnProperty("compound") ? opts.compound : false;
}
// Label for the graph itself
this._label = undefined;
#label;
// Defaults to be set when creating a new node
this._defaultNodeLabelFn = () => undefined;
#defaultNodeLabelFn = () => undefined;
// Defaults to be set when creating a new edge
this._defaultEdgeLabelFn = () => undefined;
#defaultEdgeLabelFn = () => undefined;
// v -> label
this._nodes = {};
#nodes = {};
if (this._isCompound) {
// v -> parent
this._parent = {};
// v -> children
this._children = {};
this._children[GRAPH_NODE] = {};
}
// v -> edgeObj
this._in = {};
#in = {};
// u -> v -> Number
this._preds = {};
#preds = {};
// v -> edgeObj
this._out = {};
#out = {};
// v -> w -> Number
this._sucs = {};
#sucs = {};
// e -> edgeObj
this._edgeObjs = {};
#edgeObjs = {};
// e -> label
this._edgeLabels = {};
}
#edgeLabels = {};
/* Number of nodes in the graph. Should only be changed by the implementation. */
Graph.prototype._nodeCount = 0;
/* Number of nodes in the graph. Should only be changed by the implementation. */
#nodeCount = 0;
/* Number of edges in the graph. Should only be changed by the implementation. */
Graph.prototype._edgeCount = 0;
/* Number of edges in the graph. Should only be changed by the implementation. */
#edgeCount = 0;
#parent;
/* === Graph functions ========= */
#children;
/**
* Whether graph was created with 'directed' flag set to true or not.
*/
Graph.prototype.isDirected = function() {
return this._isDirected;
};
constructor(opts) {
if (opts) {
this.#isDirected = opts.hasOwnProperty("directed") ? opts.directed : true;
this.#isMultigraph = opts.hasOwnProperty("multigraph") ? opts.multigraph : false;
this.#isCompound = opts.hasOwnProperty("compound") ? opts.compound : false;
}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/
Graph.prototype.isMultigraph = function() {
return this._isMultigraph;
};
if (this.#isCompound) {
// v -> parent
this.#parent = {};
/**
* Whether graph was created with 'compound' flag set to true or not.
*/
Graph.prototype.isCompound = function() {
return this._isCompound;
};
// v -> children
this.#children = {};
this.#children[GRAPH_NODE] = {};
}
}
/**
* Sets the label of the graph.
*/
Graph.prototype.setGraph = function(label) {
this._label = label;
return this;
};
/* === Graph functions ========= */
/**
* Gets the graph label.
*/
Graph.prototype.graph = function() {
return this._label;
};
/**
* Whether graph was created with 'directed' flag set to true or not.
*/
isDirected() {
return this.#isDirected;
}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/
isMultigraph() {
return this.#isMultigraph;
}
/* === Node functions ========== */
/**
* Whether graph was created with 'compound' flag set to true or not.
*/
isCompound() {
return this.#isCompound;
}
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/
Graph.prototype.setDefaultNodeLabel = function(newDefault) {
this._defaultNodeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this._defaultNodeLabelFn = () => newDefault;
/**
* Sets the label of the graph.
*/
setGraph(label) {
this.#label = label;
return this;
}
return this;
};
/**
* Gets the graph label.
*/
graph() {
return this.#label;
}
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/
Graph.prototype.nodeCount = function() {
return this._nodeCount;
};
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/
Graph.prototype.nodes = function() {
return Object.keys(this._nodes);
};
/* === Node functions ========== */
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/
Graph.prototype.sources = function() {
var self = this;
return this.nodes().filter(v => Object.keys(self._in[v]).length === 0);
};
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/
Graph.prototype.sinks = function() {
var self = this;
return this.nodes().filter(v => Object.keys(self._out[v]).length === 0);
};
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/
Graph.prototype.setNodes = function(vs, value) {
var args = arguments;
var self = this;
vs.forEach(function(v) {
if (args.length > 1) {
self.setNode(v, value);
} else {
self.setNode(v);
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/
setDefaultNodeLabel(newDefault) {
this.#defaultNodeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this.#defaultNodeLabelFn = () => newDefault;
}
});
return this;
};
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/
Graph.prototype.setNode = function(v, value) {
if (this._nodes.hasOwnProperty(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;
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/
nodeCount() {
return this.#nodeCount;
}
this._in[v] = {};
this._preds[v] = {};
this._out[v] = {};
this._sucs[v] = {};
++this._nodeCount;
return this;
};
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/
Graph.prototype.node = function(v) {
return this._nodes[v];
};
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/
nodes() {
return Object.keys(this.#nodes);
}
/**
* Detects whether graph has a node with specified name or not.
*/
Graph.prototype.hasNode = function(v) {
return this._nodes.hasOwnProperty(v);
};
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/
sources() {
var self = this;
return this.nodes().filter(v => Object.keys(self.#in[v]).length === 0);
}
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/
Graph.prototype.removeNode = function(v) {
var self = this;
if (this._nodes.hasOwnProperty(v)) {
var removeEdge = e => self.removeEdge(self._edgeObjs[e]);
delete this._nodes[v];
if (this._isCompound) {
this._removeFromParentsChildList(v);
delete this._parent[v];
this.children(v).forEach(function(child) {
self.setParent(child);
});
delete this._children[v];
}
Object.keys(this._in[v]).forEach(removeEdge);
delete this._in[v];
delete this._preds[v];
Object.keys(this._out[v]).forEach(removeEdge);
delete this._out[v];
delete this._sucs[v];
--this._nodeCount;
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/
sinks() {
var self = this;
return this.nodes().filter(v => Object.keys(self.#out[v]).length === 0);
}
return this;
};
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/
Graph.prototype.setParent = function(v, parent) {
if (!this._isCompound) {
throw new Error("Cannot set parent in a non-compound graph");
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/
setNodes(vs, value) {
var args = arguments;
var self = this;
vs.forEach(function(v) {
if (args.length > 1) {
self.setNode(v, value);
} else {
self.setNode(v);
}
});
return this;
}
if (parent === undefined) {
parent = GRAPH_NODE;
} else {
// Coerce parent to string
parent += "";
for (var ancestor = parent;
ancestor !== undefined;
ancestor = this.parent(ancestor)) {
if (ancestor === v) {
throw new Error("Setting " + parent+ " as parent of " + v +
" would create a cycle");
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/
setNode(v, value) {
if (this.#nodes.hasOwnProperty(v)) {
if (arguments.length > 1) {
this.#nodes[v] = value;
}
return this;
}
this.setNode(parent);
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;
}
this.setNode(v);
this._removeFromParentsChildList(v);
this._parent[v] = parent;
this._children[parent][v] = true;
return this;
};
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/
node(v) {
return this.#nodes[v];
}
Graph.prototype._removeFromParentsChildList = function(v) {
delete this._children[this._parent[v]][v];
};
/**
* Detects whether graph has a node with specified name or not.
*/
hasNode(v) {
return this.#nodes.hasOwnProperty(v);
}
/**
* Gets parent node for node v.
* Complexity: O(1).
*/
Graph.prototype.parent = function(v) {
if (this._isCompound) {
var parent = this._parent[v];
if (parent !== GRAPH_NODE) {
return parent;
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/
removeNode(v) {
var self = this;
if (this.#nodes.hasOwnProperty(v)) {
var removeEdge = e => self.removeEdge(self.#edgeObjs[e]);
delete this.#nodes[v];
if (this.#isCompound) {
this.#removeFromParentsChildList(v);
delete this.#parent[v];
this.children(v).forEach(function(child) {
self.setParent(child);
});
delete this.#children[v];
}
Object.keys(this.#in[v]).forEach(removeEdge);
delete this.#in[v];
delete this.#preds[v];
Object.keys(this.#out[v]).forEach(removeEdge);
delete this.#out[v];
delete this.#sucs[v];
--this.#nodeCount;
}
return this;
}
};
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/
Graph.prototype.children = function(v = GRAPH_NODE) {
if (this._isCompound) {
var children = this._children[v];
if (children) {
return Object.keys(children);
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/
setParent(v, parent) {
if (!this.#isCompound) {
throw new Error("Cannot set parent in a non-compound graph");
}
} else if (v === GRAPH_NODE) {
return this.nodes();
} else if (this.hasNode(v)) {
return [];
if (parent === undefined) {
parent = GRAPH_NODE;
} else {
// Coerce parent to string
parent += "";
for (var ancestor = parent; ancestor !== undefined; 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;
}
};
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
Graph.prototype.predecessors = function(v) {
var predsV = this._preds[v];
if (predsV) {
return Object.keys(predsV);
#removeFromParentsChildList(v) {
delete this.#children[this.#parent[v]][v];
}
};
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
Graph.prototype.successors = function(v) {
var sucsV = this._sucs[v];
if (sucsV) {
return Object.keys(sucsV);
/**
* Gets parent node for node v.
* Complexity: O(1).
*/
parent(v) {
if (this.#isCompound) {
var parent = this.#parent[v];
if (parent !== GRAPH_NODE) {
return parent;
}
}
}
};
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/
Graph.prototype.neighbors = function(v) {
var preds = this.predecessors(v);
if (preds) {
const union = new Set(preds);
for (var succ of this.successors(v)) {
union.add(succ);
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/
children(v = GRAPH_NODE) {
if (this.#isCompound) {
var children = this.#children[v];
if (children) {
return Object.keys(children);
}
} else if (v === GRAPH_NODE) {
return this.nodes();
} else if (this.hasNode(v)) {
return [];
}
}
return Array.from(union.values());
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
predecessors(v) {
var predsV = this.#preds[v];
if (predsV) {
return Object.keys(predsV);
}
}
};
Graph.prototype.isLeaf = function (v) {
var neighbors;
if (this.isDirected()) {
neighbors = this.successors(v);
} else {
neighbors = this.neighbors(v);
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
successors(v) {
var sucsV = this.#sucs[v];
if (sucsV) {
return Object.keys(sucsV);
}
}
return neighbors.length === 0;
};
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/
Graph.prototype.filterNodes = function(filter) {
var copy = new this.constructor({
directed: this._isDirected,
multigraph: this._isMultigraph,
compound: this._isCompound
});
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/
neighbors(v) {
var preds = this.predecessors(v);
if (preds) {
const union = new Set(preds);
for (var succ of this.successors(v)) {
union.add(succ);
}
copy.setGraph(this.graph());
var self = this;
Object.entries(this._nodes).forEach(function([v, value]) {
if (filter(v)) {
copy.setNode(v, value);
return Array.from(union.values());
}
});
}
Object.values(this._edgeObjs).forEach(function(e) {
if (copy.hasNode(e.v) && copy.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];
isLeaf(v) {
var neighbors;
if (this.isDirected()) {
neighbors = this.successors(v);
} else {
return findParent(parent);
neighbors = this.neighbors(v);
}
return neighbors.length === 0;
}
if (this._isCompound) {
copy.nodes().forEach(v => copy.setParent(v, findParent(v)));
}
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/
filterNodes(filter) {
var copy = new this.constructor({
directed: this.#isDirected,
multigraph: this.#isMultigraph,
compound: this.#isCompound
});
return copy;
};
copy.setGraph(this.graph());
/* === Edge functions ========== */
var self = this;
Object.entries(this.#nodes).forEach(function([v, value]) {
if (filter(v)) {
copy.setNode(v, value);
}
});
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/
Graph.prototype.setDefaultEdgeLabel = function(newDefault) {
this._defaultEdgeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this._defaultEdgeLabelFn = () => newDefault;
}
Object.values(this.#edgeObjs).forEach(function(e) {
if (copy.hasNode(e.v) && copy.hasNode(e.w)) {
copy.setEdge(e, self.edge(e));
}
});
return 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);
}
}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/
Graph.prototype.edgeCount = function() {
return this._edgeCount;
};
if (this.#isCompound) {
copy.nodes().forEach(v => copy.setParent(v, findParent(v)));
}
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/
Graph.prototype.edges = function() {
return Object.values(this._edgeObjs);
};
return copy;
}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/
Graph.prototype.setPath = function(vs, value) {
var self = this;
var args = arguments;
vs.reduce(function(v, w) {
if (args.length > 1) {
self.setEdge(v, w, value);
} else {
self.setEdge(v, w);
/* === Edge functions ========== */
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/
setDefaultEdgeLabel(newDefault) {
this.#defaultEdgeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this.#defaultEdgeLabelFn = () => newDefault;
}
return w;
});
return this;
};
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/
Graph.prototype.setEdge = function() {
var v, w, name, value;
var valueSpecified = false;
var arg0 = arguments[0];
return this;
}
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;
}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/
edgeCount() {
return this.#edgeCount;
}
v = "" + v;
w = "" + w;
if (name !== undefined) {
name = "" + name;
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/
edges() {
return Object.values(this.#edgeObjs);
}
var e = edgeArgsToId(this._isDirected, v, w, name);
if (this._edgeLabels.hasOwnProperty(e)) {
if (valueSpecified) {
this._edgeLabels[e] = value;
}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/
setPath(vs, value) {
var self = this;
var args = arguments;
vs.reduce(function(v, w) {
if (args.length > 1) {
self.setEdge(v, w, value);
} else {
self.setEdge(v, w);
}
return w;
});
return this;
}
if (name !== undefined && !this._isMultigraph) {
throw new Error("Cannot set a named edge when isMultigraph = false");
}
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/
setEdge() {
var v, w, name, value;
var valueSpecified = false;
var arg0 = arguments[0];
// It didn't exist, so we need to create it.
// First ensure the nodes exist.
this.setNode(v);
this.setNode(w);
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;
}
}
this._edgeLabels[e] = valueSpecified ? value : this._defaultEdgeLabelFn(v, w, name);
v = "" + v;
w = "" + w;
if (name !== undefined) {
name = "" + name;
}
var edgeObj = edgeArgsToObj(this._isDirected, v, w, name);
// Ensure we add undirected edges in a consistent way.
v = edgeObj.v;
w = edgeObj.w;
var e = edgeArgsToId(this.#isDirected, v, w, name);
if (this.#edgeLabels.hasOwnProperty(e)) {
if (valueSpecified) {
this.#edgeLabels[e] = value;
}
return this;
}
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;
};
if (name !== undefined && !this.#isMultigraph) {
throw new Error("Cannot set a named edge when isMultigraph = false");
}
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/
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];
};
// It didn't exist, so we need to create it.
// First ensure the nodes exist.
this.setNode(v);
this.setNode(w);
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/
Graph.prototype.hasEdge = function(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this._isDirected, arguments[0])
: edgeArgsToId(this._isDirected, v, w, name));
return this._edgeLabels.hasOwnProperty(e);
};
this.#edgeLabels[e] = valueSpecified ? value : this.#defaultEdgeLabelFn(v, w, name);
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/
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--;
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;
}
return this;
};
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
Graph.prototype.inEdges = function(v, u) {
var inV = this._in[v];
if (inV) {
var edges = Object.values(inV);
if (!u) {
return edges;
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/
edge(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this.#isDirected, arguments[0])
: edgeArgsToId(this.#isDirected, v, w, name));
return this.#edgeLabels[e];
}
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/
hasEdge(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this.#isDirected, arguments[0])
: edgeArgsToId(this.#isDirected, v, w, name));
return this.#edgeLabels.hasOwnProperty(e);
}
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/
removeEdge(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 edges.filter(edge => edge.v === u);
return this;
}
};
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
Graph.prototype.outEdges = function(v, w) {
var outV = this._out[v];
if (outV) {
var edges = Object.values(outV);
if (!w) {
return edges;
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
inEdges(v, u) {
var inV = this.#in[v];
if (inV) {
var edges = Object.values(inV);
if (!u) {
return edges;
}
return edges.filter(edge => edge.v === u);
}
return edges.filter(edge => edge.w === w);
}
};
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/
Graph.prototype.nodeEdges = function(v, w) {
var inEdges = this.inEdges(v, w);
if (inEdges) {
return inEdges.concat(this.outEdges(v, w));
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
outEdges(v, w) {
var outV = this.#out[v];
if (outV) {
var edges = Object.values(outV);
if (!w) {
return edges;
}
return edges.filter(edge => edge.w === w);
}
}
};
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/
nodeEdges(v, w) {
var inEdges = this.inEdges(v, w);
if (inEdges) {
return inEdges.concat(this.outEdges(v, w));
}
}
}
function incrementOrInitEntry(map, k) {

@@ -1264,2 +1295,4 @@ if (map[k]) {

module.exports = Graph;
},{}],17:[function(require,module,exports){

@@ -1355,5 +1388,5 @@ // Includes only the "core" of graphlib

},{"./graph":16}],19:[function(require,module,exports){
module.exports = '2.1.9';
module.exports = '2.1.11';
},{}]},{},[1])(1)
});

@@ -38,8 +38,7 @@ (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;i<t.length;i++)o(t[i]);return o}return r}()({1:[function(require,module,exports){

*
* Order must be one of "pre" or "post".
*/function dfs(g,vs,order){if(!Array.isArray(vs)){vs=[vs]}var navigation=(g.isDirected()?g.successors:g.neighbors).bind(g);var acc=[];var visited={};vs.forEach(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(!visited.hasOwnProperty(v)){visited[v]=true;if(!postorder){acc.push(v)}navigation(v).forEach(function(w){doDfs(g,w,postorder,visited,navigation,acc)});if(postorder){acc.push(v)}}}},{}],4:[function(require,module,exports){var dijkstra=require("./dijkstra");module.exports=dijkstraAll;function dijkstraAll(g,weightFunc,edgeFunc){return g.nodes().reduce(function(acc,v){acc[v]=dijkstra(g,v,weightFunc,edgeFunc);return acc},{})}},{"./dijkstra":5}],5:[function(require,module,exports){var PriorityQueue=require("../data/priority-queue");module.exports=dijkstra;var DEFAULT_WEIGHT_FUNC=()=>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={};var pq=new PriorityQueue;var v,vEntry;var updateNeighbors=function(edge){var w=edge.v!==v?edge.v:edge.w;var wEntry=results[w];var weight=weightFn(edge);var 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}],6:[function(require,module,exports){var tarjan=require("./tarjan");module.exports=findCycles;function findCycles(g){return tarjan(g).filter(function(cmpt){return cmpt.length>1||cmpt.length===1&&g.hasEdge(cmpt[0],cmpt[0])})}},{"./tarjan":13}],7:[function(require,module,exports){module.exports=floydWarshall;var DEFAULT_WEIGHT_FUNC=()=>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(altDistance<ij.distance){ij.distance=altDistance;ij.predecessor=kj.predecessor}})})});return results}},{}],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 Graph=require("../graph");var PriorityQueue=require("../data/priority-queue");module.exports=prim;function prim(g,weightFunc){var result=new Graph;var parents={};var pq=new PriorityQueue;var v;function updateNeighbors(edge){var w=edge.v===v?edge.w:edge.v;var 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}g.nodes().forEach(function(v){pq.add(v,Number.POSITIVE_INFINITY);result.setNode(v)});
* If the order is not "post", it will be treated as "pre".
*/function dfs(g,vs,order){if(!Array.isArray(vs)){vs=[vs]}var navigation=g.isDirected()?v=>g.successors(v):v=>g.neighbors(v);var orderFunc=order==="post"?postOrderDfs:preOrderDfs;var acc=[];var visited={};vs.forEach(v=>{if(!g.hasNode(v)){throw new Error("Graph does not have node: "+v)}orderFunc(v,navigation,visited,acc)});return acc}function postOrderDfs(v,navigation,visited,acc){var stack=[[v,false]];while(stack.length>0){var curr=stack.pop();if(curr[1]){acc.push(curr[0])}else{if(!visited.hasOwnProperty(curr[0])){visited[curr[0]]=true;stack.push([curr[0],true]);forEachRight(navigation(curr[0]),w=>stack.push([w,false]))}}}}function preOrderDfs(v,navigation,visited,acc){var stack=[v];while(stack.length>0){var curr=stack.pop();if(!visited.hasOwnProperty(curr)){visited[curr]=true;acc.push(curr);forEachRight(navigation(curr),w=>stack.push(w))}}}function forEachRight(array,iteratee){var length=array.length;while(length--){iteratee(array[length],length,array)}return array}},{}],4:[function(require,module,exports){var dijkstra=require("./dijkstra");module.exports=dijkstraAll;function dijkstraAll(g,weightFunc,edgeFunc){return g.nodes().reduce(function(acc,v){acc[v]=dijkstra(g,v,weightFunc,edgeFunc);return acc},{})}},{"./dijkstra":5}],5:[function(require,module,exports){var PriorityQueue=require("../data/priority-queue");module.exports=dijkstra;var DEFAULT_WEIGHT_FUNC=()=>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={};var pq=new PriorityQueue;var v,vEntry;var updateNeighbors=function(edge){var w=edge.v!==v?edge.v:edge.w;var wEntry=results[w];var weight=weightFn(edge);var 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}],6:[function(require,module,exports){var tarjan=require("./tarjan");module.exports=findCycles;function findCycles(g){return tarjan(g).filter(function(cmpt){return cmpt.length>1||cmpt.length===1&&g.hasEdge(cmpt[0],cmpt[0])})}},{"./tarjan":13}],7:[function(require,module,exports){module.exports=floydWarshall;var DEFAULT_WEIGHT_FUNC=()=>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(altDistance<ij.distance){ij.distance=altDistance;ij.predecessor=kj.predecessor}})})});return results}},{}],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 Graph=require("../graph");var PriorityQueue=require("../data/priority-queue");module.exports=prim;function prim(g,weightFunc){var result=new Graph;var parents={};var pq=new PriorityQueue;var v;function updateNeighbors(edge){var w=edge.v===v?edge.w:edge.v;var 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}g.nodes().forEach(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(parents.hasOwnProperty(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}],13:[function(require,module,exports){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(!visited.hasOwnProperty(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(!visited.hasOwnProperty(v)){dfs(v)}});return results}},{}],14:[function(require,module,exports){module.exports=topsort;topsort.CycleException=CycleException;function topsort(g){var visited={};var stack={};var results=[];function visit(node){if(stack.hasOwnProperty(node)){throw new CycleException}if(!visited.hasOwnProperty(node)){stack[node]=true;visited[node]=true;g.predecessors(node).forEach(visit);delete stack[node];results.push(node)}}g.sinks().forEach(visit);if(Object.keys(visited).length!==g.nodeCount()){throw new CycleException}return results}function CycleException(){}CycleException.prototype=new Error;// must be an instance of Error to pass testing
},{}],15:[function(require,module,exports){module.exports=PriorityQueue;
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(!visited.hasOwnProperty(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(!visited.hasOwnProperty(v)){dfs(v)}});return results}},{}],14:[function(require,module,exports){function topsort(g){var visited={};var stack={};var results=[];function visit(node){if(stack.hasOwnProperty(node)){throw new CycleException}if(!visited.hasOwnProperty(node)){stack[node]=true;visited[node]=true;g.predecessors(node).forEach(visit);delete stack[node];results.push(node)}}g.sinks().forEach(visit);if(Object.keys(visited).length!==g.nodeCount()){throw new CycleException}return results}class CycleException extends Error{constructor(){super(...arguments)}}module.exports=topsort;topsort.CycleException=CycleException},{}],15:[function(require,module,exports){
/**

@@ -51,40 +50,41 @@ * A min-priority queue data structure. This algorithm is derived from Cormen,

* have its priority decreased in O(log n) time.
*/function PriorityQueue(){this._arr=[];this._keyIndices={}}
*/
class PriorityQueue{#arr=[];#keyIndices={};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/PriorityQueue.prototype.size=function(){return this._arr.length};
* Returns the number of elements in the queue. Takes `O(1)` time.
*/size(){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 the keys that are in the queue. Takes `O(n)` time.
*/keys(){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 this._keyIndices.hasOwnProperty(key)};
* Returns `true` if **key** is in the queue and `false` if not.
*/has(key){return this.#keyIndices.hasOwnProperty(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 priority for **key**. If **key** is not present in the queue
* then this function returns `undefined`. Takes `O(1)` time.
*
* @param {Object} key
*/priority(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};
* Returns the key for the minimum element in this queue. If the queue is
* empty this function throws an Error. Takes `O(1)` time.
*/min(){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(!keyIndices.hasOwnProperty(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};
* 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
*/add(key,priority){var keyIndices=this.#keyIndices;key=String(key);if(!keyIndices.hasOwnProperty(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};
* Removes and returns the smallest key in the queue. Takes `O(log n)` time.
*/removeMin(){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<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}},{}],16:[function(require,module,exports){"use strict";module.exports=Graph;var DEFAULT_EDGE_NAME="\0";var GRAPH_NODE="\0";var EDGE_KEY_DELIM="";
* 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
*/decrease(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)}#heapify(i){var arr=this.#arr;var l=2*i;var r=l+1;var 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)}}}#decrease(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}}#swap(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}}module.exports=PriorityQueue},{}],16:[function(require,module,exports){"use strict";var DEFAULT_EDGE_NAME="\0";var GRAPH_NODE="\0";var EDGE_KEY_DELIM="";
// Implementation notes:

@@ -99,190 +99,190 @@ //

// we're going to get to a performant hashtable in JavaScript.
function Graph(opts){this._isDirected=true;this._isMultigraph=false;this._isCompound=false;if(opts){this._isDirected=opts.hasOwnProperty("directed")?opts.directed:true;this._isMultigraph=opts.hasOwnProperty("multigraph")?opts.multigraph:false;this._isCompound=opts.hasOwnProperty("compound")?opts.compound:false}
class Graph{#isDirected=true;#isMultigraph=false;#isCompound=false;
// Label for the graph itself
this._label=undefined;
#label;
// Defaults to be set when creating a new node
this._defaultNodeLabelFn=()=>undefined;
#defaultNodeLabelFn=()=>undefined;
// Defaults to be set when creating a new edge
this._defaultEdgeLabelFn=()=>undefined;
#defaultEdgeLabelFn=()=>undefined;
// v -> label
this._nodes={};if(this._isCompound){
// v -> parent
this._parent={};
// v -> children
this._children={};this._children[GRAPH_NODE]={}}
#nodes={};
// v -> edgeObj
this._in={};
#in={};
// u -> v -> Number
this._preds={};
#preds={};
// v -> edgeObj
this._out={};
#out={};
// v -> w -> Number
this._sucs={};
#sucs={};
// e -> edgeObj
this._edgeObjs={};
#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;
#edgeLabels={};
/* Number of nodes in the graph. Should only be changed by the implementation. */#nodeCount=0;
/* Number of edges in the graph. Should only be changed by the implementation. */#edgeCount=0;#parent;#children;constructor(opts){if(opts){this.#isDirected=opts.hasOwnProperty("directed")?opts.directed:true;this.#isMultigraph=opts.hasOwnProperty("multigraph")?opts.multigraph:false;this.#isCompound=opts.hasOwnProperty("compound")?opts.compound:false}if(this.#isCompound){
// v -> parent
this.#parent={};
// v -> children
this.#children={};this.#children[GRAPH_NODE]={}}}
/* === Graph functions ========= */
/**
* Whether graph was created with 'directed' flag set to true or not.
*/Graph.prototype.isDirected=function(){return this._isDirected};
* Whether graph was created with 'directed' flag set to true or not.
*/isDirected(){return this.#isDirected}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/Graph.prototype.isMultigraph=function(){return this._isMultigraph};
* Whether graph was created with 'multigraph' flag set to true or not.
*/isMultigraph(){return this.#isMultigraph}
/**
* Whether graph was created with 'compound' flag set to true or not.
*/Graph.prototype.isCompound=function(){return this._isCompound};
* Whether graph was created with 'compound' flag set to true or not.
*/isCompound(){return this.#isCompound}
/**
* Sets the label of the graph.
*/Graph.prototype.setGraph=function(label){this._label=label;return this};
* Sets the label of the graph.
*/setGraph(label){this.#label=label;return this}
/**
* Gets the graph label.
*/Graph.prototype.graph=function(){return this._label};
* Gets the graph label.
*/graph(){return this.#label}
/* === Node functions ========== */
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/Graph.prototype.setDefaultNodeLabel=function(newDefault){this._defaultNodeLabelFn=newDefault;if(typeof newDefault!=="function"){this._defaultNodeLabelFn=()=>newDefault}return this};
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/setDefaultNodeLabel(newDefault){this.#defaultNodeLabelFn=newDefault;if(typeof newDefault!=="function"){this.#defaultNodeLabelFn=()=>newDefault}return this}
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/Graph.prototype.nodeCount=function(){return this._nodeCount};
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/nodeCount(){return this.#nodeCount}
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/Graph.prototype.nodes=function(){return Object.keys(this._nodes)};
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/nodes(){return Object.keys(this.#nodes)}
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/Graph.prototype.sources=function(){var self=this;return this.nodes().filter(v=>Object.keys(self._in[v]).length===0)};
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/sources(){var self=this;return this.nodes().filter(v=>Object.keys(self.#in[v]).length===0)}
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/Graph.prototype.sinks=function(){var self=this;return this.nodes().filter(v=>Object.keys(self._out[v]).length===0)};
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/sinks(){var self=this;return this.nodes().filter(v=>Object.keys(self.#out[v]).length===0)}
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/Graph.prototype.setNodes=function(vs,value){var args=arguments;var self=this;vs.forEach(function(v){if(args.length>1){self.setNode(v,value)}else{self.setNode(v)}});return this};
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/setNodes(vs,value){var args=arguments;var self=this;vs.forEach(function(v){if(args.length>1){self.setNode(v,value)}else{self.setNode(v)}});return this}
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/Graph.prototype.setNode=function(v,value){if(this._nodes.hasOwnProperty(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};
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/setNode(v,value){if(this.#nodes.hasOwnProperty(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}
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/Graph.prototype.node=function(v){return this._nodes[v]};
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/node(v){return this.#nodes[v]}
/**
* Detects whether graph has a node with specified name or not.
*/Graph.prototype.hasNode=function(v){return this._nodes.hasOwnProperty(v)};
* Detects whether graph has a node with specified name or not.
*/hasNode(v){return this.#nodes.hasOwnProperty(v)}
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/Graph.prototype.removeNode=function(v){var self=this;if(this._nodes.hasOwnProperty(v)){var removeEdge=e=>self.removeEdge(self._edgeObjs[e]);delete this._nodes[v];if(this._isCompound){this._removeFromParentsChildList(v);delete this._parent[v];this.children(v).forEach(function(child){self.setParent(child)});delete this._children[v]}Object.keys(this._in[v]).forEach(removeEdge);delete this._in[v];delete this._preds[v];Object.keys(this._out[v]).forEach(removeEdge);delete this._out[v];delete this._sucs[v];--this._nodeCount}return this};
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/removeNode(v){var self=this;if(this.#nodes.hasOwnProperty(v)){var removeEdge=e=>self.removeEdge(self.#edgeObjs[e]);delete this.#nodes[v];if(this.#isCompound){this.#removeFromParentsChildList(v);delete this.#parent[v];this.children(v).forEach(function(child){self.setParent(child)});delete this.#children[v]}Object.keys(this.#in[v]).forEach(removeEdge);delete this.#in[v];delete this.#preds[v];Object.keys(this.#out[v]).forEach(removeEdge);delete this.#out[v];delete this.#sucs[v];--this.#nodeCount}return this}
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/Graph.prototype.setParent=function(v,parent){if(!this._isCompound){throw new Error("Cannot set parent in a non-compound graph")}if(parent===undefined){parent=GRAPH_NODE}else{
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/setParent(v,parent){if(!this.#isCompound){throw new Error("Cannot set parent in a non-compound graph")}if(parent===undefined){parent=GRAPH_NODE}else{
// Coerce parent to string
parent+="";for(var ancestor=parent;ancestor!==undefined;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]};
parent+="";for(var ancestor=parent;ancestor!==undefined;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}#removeFromParentsChildList(v){delete this.#children[this.#parent[v]][v]}
/**
* Gets parent node for node v.
* Complexity: O(1).
*/Graph.prototype.parent=function(v){if(this._isCompound){var parent=this._parent[v];if(parent!==GRAPH_NODE){return parent}}};
* Gets parent node for node v.
* Complexity: O(1).
*/parent(v){if(this.#isCompound){var parent=this.#parent[v];if(parent!==GRAPH_NODE){return parent}}}
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/Graph.prototype.children=function(v=GRAPH_NODE){if(this._isCompound){var children=this._children[v];if(children){return Object.keys(children)}}else if(v===GRAPH_NODE){return this.nodes()}else if(this.hasNode(v)){return[]}};
* Gets list of direct children of node v.
* Complexity: O(1).
*/children(v=GRAPH_NODE){if(this.#isCompound){var children=this.#children[v];if(children){return Object.keys(children)}}else if(v===GRAPH_NODE){return this.nodes()}else if(this.hasNode(v)){return[]}}
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/Graph.prototype.predecessors=function(v){var predsV=this._preds[v];if(predsV){return Object.keys(predsV)}};
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/predecessors(v){var predsV=this.#preds[v];if(predsV){return Object.keys(predsV)}}
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/Graph.prototype.successors=function(v){var sucsV=this._sucs[v];if(sucsV){return Object.keys(sucsV)}};
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/successors(v){var sucsV=this.#sucs[v];if(sucsV){return Object.keys(sucsV)}}
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/Graph.prototype.neighbors=function(v){var preds=this.predecessors(v);if(preds){const union=new Set(preds);for(var succ of this.successors(v)){union.add(succ)}return Array.from(union.values())}};Graph.prototype.isLeaf=function(v){var neighbors;if(this.isDirected()){neighbors=this.successors(v)}else{neighbors=this.neighbors(v)}return neighbors.length===0};
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/neighbors(v){var preds=this.predecessors(v);if(preds){const union=new Set(preds);for(var succ of this.successors(v)){union.add(succ)}return Array.from(union.values())}}isLeaf(v){var neighbors;if(this.isDirected()){neighbors=this.successors(v)}else{neighbors=this.neighbors(v)}return neighbors.length===0}
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/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;Object.entries(this._nodes).forEach(function([v,value]){if(filter(v)){copy.setNode(v,value)}});Object.values(this._edgeObjs).forEach(function(e){if(copy.hasNode(e.v)&&copy.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){copy.nodes().forEach(v=>copy.setParent(v,findParent(v)))}return copy};
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/filterNodes(filter){var copy=new this.constructor({directed:this.#isDirected,multigraph:this.#isMultigraph,compound:this.#isCompound});copy.setGraph(this.graph());var self=this;Object.entries(this.#nodes).forEach(function([v,value]){if(filter(v)){copy.setNode(v,value)}});Object.values(this.#edgeObjs).forEach(function(e){if(copy.hasNode(e.v)&&copy.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){copy.nodes().forEach(v=>copy.setParent(v,findParent(v)))}return copy}
/* === Edge functions ========== */
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/Graph.prototype.setDefaultEdgeLabel=function(newDefault){this._defaultEdgeLabelFn=newDefault;if(typeof newDefault!=="function"){this._defaultEdgeLabelFn=()=>newDefault}return this};
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/setDefaultEdgeLabel(newDefault){this.#defaultEdgeLabelFn=newDefault;if(typeof newDefault!=="function"){this.#defaultEdgeLabelFn=()=>newDefault}return this}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/Graph.prototype.edgeCount=function(){return this._edgeCount};
* Gets the number of edges in the graph.
* Complexity: O(1).
*/edgeCount(){return this.#edgeCount}
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/Graph.prototype.edges=function(){return Object.values(this._edgeObjs)};
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/edges(){return Object.values(this.#edgeObjs)}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/Graph.prototype.setPath=function(vs,value){var self=this;var args=arguments;vs.reduce(function(v,w){if(args.length>1){self.setEdge(v,w,value)}else{self.setEdge(v,w)}return w});return this};
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/setPath(vs,value){var self=this;var args=arguments;vs.reduce(function(v,w){if(args.length>1){self.setEdge(v,w,value)}else{self.setEdge(v,w)}return w});return this}
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/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(name!==undefined){name=""+name}var e=edgeArgsToId(this._isDirected,v,w,name);if(this._edgeLabels.hasOwnProperty(e)){if(valueSpecified){this._edgeLabels[e]=value}return this}if(name!==undefined&&!this._isMultigraph){throw new Error("Cannot set a named edge when isMultigraph = false")}
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/setEdge(){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(name!==undefined){name=""+name}var e=edgeArgsToId(this.#isDirected,v,w,name);if(this.#edgeLabels.hasOwnProperty(e)){if(valueSpecified){this.#edgeLabels[e]=value}return this}if(name!==undefined&&!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);
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};
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}
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/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]};
* Gets the label for the specified edge.
* Complexity: O(1).
*/edge(v,w,name){var e=arguments.length===1?edgeObjToId(this.#isDirected,arguments[0]):edgeArgsToId(this.#isDirected,v,w,name);return this.#edgeLabels[e]}
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/Graph.prototype.hasEdge=function(v,w,name){var e=arguments.length===1?edgeObjToId(this._isDirected,arguments[0]):edgeArgsToId(this._isDirected,v,w,name);return this._edgeLabels.hasOwnProperty(e)};
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/hasEdge(v,w,name){var e=arguments.length===1?edgeObjToId(this.#isDirected,arguments[0]):edgeArgsToId(this.#isDirected,v,w,name);return this.#edgeLabels.hasOwnProperty(e)}
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/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};
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/removeEdge(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}
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/Graph.prototype.inEdges=function(v,u){var inV=this._in[v];if(inV){var edges=Object.values(inV);if(!u){return edges}return edges.filter(edge=>edge.v===u)}};
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/inEdges(v,u){var inV=this.#in[v];if(inV){var edges=Object.values(inV);if(!u){return edges}return edges.filter(edge=>edge.v===u)}}
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/Graph.prototype.outEdges=function(v,w){var outV=this._out[v];if(outV){var edges=Object.values(outV);if(!w){return edges}return edges.filter(edge=>edge.w===w)}};
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/outEdges(v,w){var outV=this.#out[v];if(outV){var edges=Object.values(outV);if(!w){return edges}return edges.filter(edge=>edge.w===w)}}
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/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+(name===undefined?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)}},{}],17:[function(require,module,exports){
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/nodeEdges(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+(name===undefined?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)}module.exports=Graph},{}],17:[function(require,module,exports){
// Includes only the "core" of graphlib

@@ -303,2 +303,2 @@ module.exports={Graph:require("./graph"),version:require("./version")}},{"./graph":16,"./version":19}],18:[function(require,module,exports){var Graph=require("./graph");module.exports={write:write,read:read};

* // [ { v: 'a', w: 'b' } ]
*/function read(json){var g=new Graph(json.options).setGraph(json.value);json.nodes.forEach(function(entry){g.setNode(entry.v,entry.value);if(entry.parent){g.setParent(entry.v,entry.parent)}});json.edges.forEach(function(entry){g.setEdge({v:entry.v,w:entry.w,name:entry.name},entry.value)});return g}},{"./graph":16}],19:[function(require,module,exports){module.exports="2.1.9"},{}]},{},[1])(1)});
*/function read(json){var g=new Graph(json.options).setGraph(json.value);json.nodes.forEach(function(entry){g.setNode(entry.v,entry.value);if(entry.parent){g.setParent(entry.v,entry.parent)}});json.edges.forEach(function(entry){g.setEdge({v:entry.v,w:entry.w,name:entry.name},entry.value)});return g}},{"./graph":16}],19:[function(require,module,exports){module.exports="2.1.11"},{}]},{},[1])(1)});

@@ -9,3 +9,3 @@ module.exports = dfs;

*
* Order must be one of "pre" or "post".
* If the order is not "post", it will be treated as "pre".
*/

@@ -17,7 +17,8 @@ function dfs(g, vs, order) {

var navigation = (g.isDirected() ? g.successors : g.neighbors).bind(g);
var navigation = g.isDirected() ? v => g.successors(v) : v => g.neighbors(v);
var orderFunc = order === "post" ? postOrderDfs : preOrderDfs;
var acc = [];
var visited = {};
vs.forEach(function(v) {
vs.forEach(v => {
if (!g.hasNode(v)) {

@@ -27,17 +28,43 @@ throw new Error("Graph does not have node: " + v);

doDfs(g, v, order === "post", visited, navigation, acc);
orderFunc(v, navigation, visited, acc);
});
return acc;
}
function doDfs(g, v, postorder, visited, navigation, acc) {
if (!visited.hasOwnProperty(v)) {
visited[v] = true;
function postOrderDfs(v, navigation, visited, acc) {
var stack = [[v, false]];
while (stack.length > 0) {
var curr = stack.pop();
if (curr[1]) {
acc.push(curr[0]);
} else {
if (!visited.hasOwnProperty(curr[0])) {
visited[curr[0]] = true;
stack.push([curr[0], true]);
forEachRight(navigation(curr[0]), w => stack.push([w, false]));
}
}
}
}
if (!postorder) { acc.push(v); }
navigation(v).forEach(function(w) {
doDfs(g, w, postorder, visited, navigation, acc);
});
if (postorder) { acc.push(v); }
function preOrderDfs(v, navigation, visited, acc) {
var stack = [v];
while (stack.length > 0) {
var curr = stack.pop();
if (!visited.hasOwnProperty(curr)) {
visited[curr] = true;
acc.push(curr);
forEachRight(navigation(curr), w => stack.push(w));
}
}
}
function forEachRight(array, iteratee) {
var length = array.length;
while (length--) {
iteratee(array[length], length, array);
}
return array;
}

@@ -1,4 +0,1 @@

module.exports = topsort;
topsort.CycleException = CycleException;
function topsort(g) {

@@ -32,3 +29,9 @@ var visited = {};

function CycleException() {}
CycleException.prototype = new Error(); // must be an instance of Error to pass testing
class CycleException extends Error {
constructor() {
super(...arguments);
}
}
module.exports = topsort;
topsort.CycleException = CycleException;

@@ -1,3 +0,1 @@

module.exports = PriorityQueue;
/**

@@ -10,142 +8,144 @@ * A min-priority queue data structure. This algorithm is derived from Cormen,

*/
function PriorityQueue() {
this._arr = [];
this._keyIndices = {};
}
class PriorityQueue {
#arr = [];
#keyIndices = {};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/
PriorityQueue.prototype.size = function() {
return this._arr.length;
};
/**
* Returns the number of elements in the queue. Takes `O(1)` time.
*/
size() {
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 the keys that are in the queue. Takes `O(n)` time.
*/
keys() {
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 this._keyIndices.hasOwnProperty(key);
};
/**
* Returns `true` if **key** is in the queue and `false` if not.
*/
has(key) {
return this.#keyIndices.hasOwnProperty(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 priority for **key**. If **key** is not present in the queue
* then this function returns `undefined`. Takes `O(1)` time.
*
* @param {Object} key
*/
priority(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");
/**
* Returns the key for the minimum element in this queue. If the queue is
* empty this function throws an Error. Takes `O(1)` time.
*/
min() {
if (this.size() === 0) {
throw new Error("Queue underflow");
}
return this.#arr[0].key;
}
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 (!keyIndices.hasOwnProperty(key)) {
var arr = this._arr;
var index = arr.length;
keyIndices[key] = index;
arr.push({key: key, priority: priority});
this._decrease(index);
return true;
/**
* 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
*/
add(key, priority) {
var keyIndices = this.#keyIndices;
key = String(key);
if (!keyIndices.hasOwnProperty(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;
}
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;
};
/**
* Removes and returns the smallest key in the queue. Takes `O(log n)` time.
*/
removeMin() {
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);
/**
* 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
*/
decrease(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);
}
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 < arr.length) {
largest = arr[l].priority < arr[largest].priority ? l : largest;
if (r < arr.length) {
largest = arr[r].priority < arr[largest].priority ? r : largest;
#heapify(i) {
var arr = this.#arr;
var l = 2 * i;
var r = l + 1;
var 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);
}
}
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;
#decrease(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;
}
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;
};
#swap(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;
}
}
module.exports = PriorityQueue;
"use strict";
module.exports = Graph;
var DEFAULT_EDGE_NAME = "\x00";

@@ -19,622 +17,625 @@ var GRAPH_NODE = "\x00";

function Graph(opts) {
this._isDirected = true;
this._isMultigraph = false;
this._isCompound = false;
class Graph {
#isDirected = true;
#isMultigraph = false;
#isCompound = false;
if (opts) {
this._isDirected = opts.hasOwnProperty("directed") ? opts.directed : true;
this._isMultigraph = opts.hasOwnProperty("multigraph") ? opts.multigraph : false;
this._isCompound = opts.hasOwnProperty("compound") ? opts.compound : false;
}
// Label for the graph itself
this._label = undefined;
#label;
// Defaults to be set when creating a new node
this._defaultNodeLabelFn = () => undefined;
#defaultNodeLabelFn = () => undefined;
// Defaults to be set when creating a new edge
this._defaultEdgeLabelFn = () => undefined;
#defaultEdgeLabelFn = () => undefined;
// v -> label
this._nodes = {};
#nodes = {};
if (this._isCompound) {
// v -> parent
this._parent = {};
// v -> children
this._children = {};
this._children[GRAPH_NODE] = {};
}
// v -> edgeObj
this._in = {};
#in = {};
// u -> v -> Number
this._preds = {};
#preds = {};
// v -> edgeObj
this._out = {};
#out = {};
// v -> w -> Number
this._sucs = {};
#sucs = {};
// e -> edgeObj
this._edgeObjs = {};
#edgeObjs = {};
// e -> label
this._edgeLabels = {};
}
#edgeLabels = {};
/* Number of nodes in the graph. Should only be changed by the implementation. */
Graph.prototype._nodeCount = 0;
/* Number of nodes in the graph. Should only be changed by the implementation. */
#nodeCount = 0;
/* Number of edges in the graph. Should only be changed by the implementation. */
Graph.prototype._edgeCount = 0;
/* Number of edges in the graph. Should only be changed by the implementation. */
#edgeCount = 0;
#parent;
/* === Graph functions ========= */
#children;
/**
* Whether graph was created with 'directed' flag set to true or not.
*/
Graph.prototype.isDirected = function() {
return this._isDirected;
};
constructor(opts) {
if (opts) {
this.#isDirected = opts.hasOwnProperty("directed") ? opts.directed : true;
this.#isMultigraph = opts.hasOwnProperty("multigraph") ? opts.multigraph : false;
this.#isCompound = opts.hasOwnProperty("compound") ? opts.compound : false;
}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/
Graph.prototype.isMultigraph = function() {
return this._isMultigraph;
};
if (this.#isCompound) {
// v -> parent
this.#parent = {};
/**
* Whether graph was created with 'compound' flag set to true or not.
*/
Graph.prototype.isCompound = function() {
return this._isCompound;
};
// v -> children
this.#children = {};
this.#children[GRAPH_NODE] = {};
}
}
/**
* Sets the label of the graph.
*/
Graph.prototype.setGraph = function(label) {
this._label = label;
return this;
};
/* === Graph functions ========= */
/**
* Gets the graph label.
*/
Graph.prototype.graph = function() {
return this._label;
};
/**
* Whether graph was created with 'directed' flag set to true or not.
*/
isDirected() {
return this.#isDirected;
}
/**
* Whether graph was created with 'multigraph' flag set to true or not.
*/
isMultigraph() {
return this.#isMultigraph;
}
/* === Node functions ========== */
/**
* Whether graph was created with 'compound' flag set to true or not.
*/
isCompound() {
return this.#isCompound;
}
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/
Graph.prototype.setDefaultNodeLabel = function(newDefault) {
this._defaultNodeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this._defaultNodeLabelFn = () => newDefault;
/**
* Sets the label of the graph.
*/
setGraph(label) {
this.#label = label;
return this;
}
return this;
};
/**
* Gets the graph label.
*/
graph() {
return this.#label;
}
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/
Graph.prototype.nodeCount = function() {
return this._nodeCount;
};
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/
Graph.prototype.nodes = function() {
return Object.keys(this._nodes);
};
/* === Node functions ========== */
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/
Graph.prototype.sources = function() {
var self = this;
return this.nodes().filter(v => Object.keys(self._in[v]).length === 0);
};
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/
Graph.prototype.sinks = function() {
var self = this;
return this.nodes().filter(v => Object.keys(self._out[v]).length === 0);
};
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/
Graph.prototype.setNodes = function(vs, value) {
var args = arguments;
var self = this;
vs.forEach(function(v) {
if (args.length > 1) {
self.setNode(v, value);
} else {
self.setNode(v);
/**
* Sets the default node label. If newDefault is a function, it will be
* invoked ach time when setting a label for a node. Otherwise, this label
* will be assigned as default label in case if no label was specified while
* setting a node.
* Complexity: O(1).
*/
setDefaultNodeLabel(newDefault) {
this.#defaultNodeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this.#defaultNodeLabelFn = () => newDefault;
}
});
return this;
};
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/
Graph.prototype.setNode = function(v, value) {
if (this._nodes.hasOwnProperty(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;
/**
* Gets the number of nodes in the graph.
* Complexity: O(1).
*/
nodeCount() {
return this.#nodeCount;
}
this._in[v] = {};
this._preds[v] = {};
this._out[v] = {};
this._sucs[v] = {};
++this._nodeCount;
return this;
};
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/
Graph.prototype.node = function(v) {
return this._nodes[v];
};
/**
* Gets all nodes of the graph. Note, the in case of compound graph subnodes are
* not included in list.
* Complexity: O(1).
*/
nodes() {
return Object.keys(this.#nodes);
}
/**
* Detects whether graph has a node with specified name or not.
*/
Graph.prototype.hasNode = function(v) {
return this._nodes.hasOwnProperty(v);
};
/**
* Gets list of nodes without in-edges.
* Complexity: O(|V|).
*/
sources() {
var self = this;
return this.nodes().filter(v => Object.keys(self.#in[v]).length === 0);
}
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/
Graph.prototype.removeNode = function(v) {
var self = this;
if (this._nodes.hasOwnProperty(v)) {
var removeEdge = e => self.removeEdge(self._edgeObjs[e]);
delete this._nodes[v];
if (this._isCompound) {
this._removeFromParentsChildList(v);
delete this._parent[v];
this.children(v).forEach(function(child) {
self.setParent(child);
});
delete this._children[v];
}
Object.keys(this._in[v]).forEach(removeEdge);
delete this._in[v];
delete this._preds[v];
Object.keys(this._out[v]).forEach(removeEdge);
delete this._out[v];
delete this._sucs[v];
--this._nodeCount;
/**
* Gets list of nodes without out-edges.
* Complexity: O(|V|).
*/
sinks() {
var self = this;
return this.nodes().filter(v => Object.keys(self.#out[v]).length === 0);
}
return this;
};
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/
Graph.prototype.setParent = function(v, parent) {
if (!this._isCompound) {
throw new Error("Cannot set parent in a non-compound graph");
/**
* Invokes setNode method for each node in names list.
* Complexity: O(|names|).
*/
setNodes(vs, value) {
var args = arguments;
var self = this;
vs.forEach(function(v) {
if (args.length > 1) {
self.setNode(v, value);
} else {
self.setNode(v);
}
});
return this;
}
if (parent === undefined) {
parent = GRAPH_NODE;
} else {
// Coerce parent to string
parent += "";
for (var ancestor = parent;
ancestor !== undefined;
ancestor = this.parent(ancestor)) {
if (ancestor === v) {
throw new Error("Setting " + parent+ " as parent of " + v +
" would create a cycle");
/**
* Creates or updates the value for the node v in the graph. If label is supplied
* it is set as the value for the node. If label is not supplied and the node was
* created by this call then the default node label will be assigned.
* Complexity: O(1).
*/
setNode(v, value) {
if (this.#nodes.hasOwnProperty(v)) {
if (arguments.length > 1) {
this.#nodes[v] = value;
}
return this;
}
this.setNode(parent);
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;
}
this.setNode(v);
this._removeFromParentsChildList(v);
this._parent[v] = parent;
this._children[parent][v] = true;
return this;
};
/**
* Gets the label of node with specified name.
* Complexity: O(|V|).
*/
node(v) {
return this.#nodes[v];
}
Graph.prototype._removeFromParentsChildList = function(v) {
delete this._children[this._parent[v]][v];
};
/**
* Detects whether graph has a node with specified name or not.
*/
hasNode(v) {
return this.#nodes.hasOwnProperty(v);
}
/**
* Gets parent node for node v.
* Complexity: O(1).
*/
Graph.prototype.parent = function(v) {
if (this._isCompound) {
var parent = this._parent[v];
if (parent !== GRAPH_NODE) {
return parent;
/**
* Remove the node with the name from the graph or do nothing if the node is not in
* the graph. If the node was removed this function also removes any incident
* edges.
* Complexity: O(1).
*/
removeNode(v) {
var self = this;
if (this.#nodes.hasOwnProperty(v)) {
var removeEdge = e => self.removeEdge(self.#edgeObjs[e]);
delete this.#nodes[v];
if (this.#isCompound) {
this.#removeFromParentsChildList(v);
delete this.#parent[v];
this.children(v).forEach(function(child) {
self.setParent(child);
});
delete this.#children[v];
}
Object.keys(this.#in[v]).forEach(removeEdge);
delete this.#in[v];
delete this.#preds[v];
Object.keys(this.#out[v]).forEach(removeEdge);
delete this.#out[v];
delete this.#sucs[v];
--this.#nodeCount;
}
return this;
}
};
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/
Graph.prototype.children = function(v = GRAPH_NODE) {
if (this._isCompound) {
var children = this._children[v];
if (children) {
return Object.keys(children);
/**
* Sets node p as a parent for node v if it is defined, or removes the
* parent for v if p is undefined. Method throws an exception in case of
* invoking it in context of noncompound graph.
* Average-case complexity: O(1).
*/
setParent(v, parent) {
if (!this.#isCompound) {
throw new Error("Cannot set parent in a non-compound graph");
}
} else if (v === GRAPH_NODE) {
return this.nodes();
} else if (this.hasNode(v)) {
return [];
if (parent === undefined) {
parent = GRAPH_NODE;
} else {
// Coerce parent to string
parent += "";
for (var ancestor = parent; ancestor !== undefined; 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;
}
};
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
Graph.prototype.predecessors = function(v) {
var predsV = this._preds[v];
if (predsV) {
return Object.keys(predsV);
#removeFromParentsChildList(v) {
delete this.#children[this.#parent[v]][v];
}
};
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
Graph.prototype.successors = function(v) {
var sucsV = this._sucs[v];
if (sucsV) {
return Object.keys(sucsV);
/**
* Gets parent node for node v.
* Complexity: O(1).
*/
parent(v) {
if (this.#isCompound) {
var parent = this.#parent[v];
if (parent !== GRAPH_NODE) {
return parent;
}
}
}
};
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/
Graph.prototype.neighbors = function(v) {
var preds = this.predecessors(v);
if (preds) {
const union = new Set(preds);
for (var succ of this.successors(v)) {
union.add(succ);
/**
* Gets list of direct children of node v.
* Complexity: O(1).
*/
children(v = GRAPH_NODE) {
if (this.#isCompound) {
var children = this.#children[v];
if (children) {
return Object.keys(children);
}
} else if (v === GRAPH_NODE) {
return this.nodes();
} else if (this.hasNode(v)) {
return [];
}
}
return Array.from(union.values());
/**
* Return all nodes that are predecessors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
predecessors(v) {
var predsV = this.#preds[v];
if (predsV) {
return Object.keys(predsV);
}
}
};
Graph.prototype.isLeaf = function (v) {
var neighbors;
if (this.isDirected()) {
neighbors = this.successors(v);
} else {
neighbors = this.neighbors(v);
/**
* Return all nodes that are successors of the specified node or undefined if node v is not in
* the graph. Behavior is undefined for undirected graphs - use neighbors instead.
* Complexity: O(|V|).
*/
successors(v) {
var sucsV = this.#sucs[v];
if (sucsV) {
return Object.keys(sucsV);
}
}
return neighbors.length === 0;
};
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/
Graph.prototype.filterNodes = function(filter) {
var copy = new this.constructor({
directed: this._isDirected,
multigraph: this._isMultigraph,
compound: this._isCompound
});
/**
* Return all nodes that are predecessors or successors of the specified node or undefined if
* node v is not in the graph.
* Complexity: O(|V|).
*/
neighbors(v) {
var preds = this.predecessors(v);
if (preds) {
const union = new Set(preds);
for (var succ of this.successors(v)) {
union.add(succ);
}
copy.setGraph(this.graph());
var self = this;
Object.entries(this._nodes).forEach(function([v, value]) {
if (filter(v)) {
copy.setNode(v, value);
return Array.from(union.values());
}
});
}
Object.values(this._edgeObjs).forEach(function(e) {
if (copy.hasNode(e.v) && copy.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];
isLeaf(v) {
var neighbors;
if (this.isDirected()) {
neighbors = this.successors(v);
} else {
return findParent(parent);
neighbors = this.neighbors(v);
}
return neighbors.length === 0;
}
if (this._isCompound) {
copy.nodes().forEach(v => copy.setParent(v, findParent(v)));
}
/**
* Creates new graph with nodes filtered via filter. Edges incident to rejected node
* are also removed. In case of compound graph, if parent is rejected by filter,
* than all its children are rejected too.
* Average-case complexity: O(|E|+|V|).
*/
filterNodes(filter) {
var copy = new this.constructor({
directed: this.#isDirected,
multigraph: this.#isMultigraph,
compound: this.#isCompound
});
return copy;
};
copy.setGraph(this.graph());
/* === Edge functions ========== */
var self = this;
Object.entries(this.#nodes).forEach(function([v, value]) {
if (filter(v)) {
copy.setNode(v, value);
}
});
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/
Graph.prototype.setDefaultEdgeLabel = function(newDefault) {
this._defaultEdgeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this._defaultEdgeLabelFn = () => newDefault;
}
Object.values(this.#edgeObjs).forEach(function(e) {
if (copy.hasNode(e.v) && copy.hasNode(e.w)) {
copy.setEdge(e, self.edge(e));
}
});
return 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);
}
}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/
Graph.prototype.edgeCount = function() {
return this._edgeCount;
};
if (this.#isCompound) {
copy.nodes().forEach(v => copy.setParent(v, findParent(v)));
}
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/
Graph.prototype.edges = function() {
return Object.values(this._edgeObjs);
};
return copy;
}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/
Graph.prototype.setPath = function(vs, value) {
var self = this;
var args = arguments;
vs.reduce(function(v, w) {
if (args.length > 1) {
self.setEdge(v, w, value);
} else {
self.setEdge(v, w);
/* === Edge functions ========== */
/**
* Sets the default edge label or factory function. This label will be
* assigned as default label in case if no label was specified while setting
* an edge or this function will be invoked each time when setting an edge
* with no label specified and returned value * will be used as a label for edge.
* Complexity: O(1).
*/
setDefaultEdgeLabel(newDefault) {
this.#defaultEdgeLabelFn = newDefault;
if (typeof newDefault !== 'function') {
this.#defaultEdgeLabelFn = () => newDefault;
}
return w;
});
return this;
};
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/
Graph.prototype.setEdge = function() {
var v, w, name, value;
var valueSpecified = false;
var arg0 = arguments[0];
return this;
}
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;
}
/**
* Gets the number of edges in the graph.
* Complexity: O(1).
*/
edgeCount() {
return this.#edgeCount;
}
v = "" + v;
w = "" + w;
if (name !== undefined) {
name = "" + name;
/**
* Gets edges of the graph. In case of compound graph subgraphs are not considered.
* Complexity: O(|E|).
*/
edges() {
return Object.values(this.#edgeObjs);
}
var e = edgeArgsToId(this._isDirected, v, w, name);
if (this._edgeLabels.hasOwnProperty(e)) {
if (valueSpecified) {
this._edgeLabels[e] = value;
}
/**
* Establish an edges path over the nodes in nodes list. If some edge is already
* exists, it will update its label, otherwise it will create an edge between pair
* of nodes with label provided or default label if no label provided.
* Complexity: O(|nodes|).
*/
setPath(vs, value) {
var self = this;
var args = arguments;
vs.reduce(function(v, w) {
if (args.length > 1) {
self.setEdge(v, w, value);
} else {
self.setEdge(v, w);
}
return w;
});
return this;
}
if (name !== undefined && !this._isMultigraph) {
throw new Error("Cannot set a named edge when isMultigraph = false");
}
/**
* Creates or updates the label for the edge (v, w) with the optionally supplied
* name. If label is supplied it is set as the value for the edge. If label is not
* supplied and the edge was created by this call then the default edge label will
* be assigned. The name parameter is only useful with multigraphs.
*/
setEdge() {
var v, w, name, value;
var valueSpecified = false;
var arg0 = arguments[0];
// It didn't exist, so we need to create it.
// First ensure the nodes exist.
this.setNode(v);
this.setNode(w);
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;
}
}
this._edgeLabels[e] = valueSpecified ? value : this._defaultEdgeLabelFn(v, w, name);
v = "" + v;
w = "" + w;
if (name !== undefined) {
name = "" + name;
}
var edgeObj = edgeArgsToObj(this._isDirected, v, w, name);
// Ensure we add undirected edges in a consistent way.
v = edgeObj.v;
w = edgeObj.w;
var e = edgeArgsToId(this.#isDirected, v, w, name);
if (this.#edgeLabels.hasOwnProperty(e)) {
if (valueSpecified) {
this.#edgeLabels[e] = value;
}
return this;
}
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;
};
if (name !== undefined && !this.#isMultigraph) {
throw new Error("Cannot set a named edge when isMultigraph = false");
}
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/
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];
};
// It didn't exist, so we need to create it.
// First ensure the nodes exist.
this.setNode(v);
this.setNode(w);
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/
Graph.prototype.hasEdge = function(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this._isDirected, arguments[0])
: edgeArgsToId(this._isDirected, v, w, name));
return this._edgeLabels.hasOwnProperty(e);
};
this.#edgeLabels[e] = valueSpecified ? value : this.#defaultEdgeLabelFn(v, w, name);
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/
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--;
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;
}
return this;
};
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
Graph.prototype.inEdges = function(v, u) {
var inV = this._in[v];
if (inV) {
var edges = Object.values(inV);
if (!u) {
return edges;
/**
* Gets the label for the specified edge.
* Complexity: O(1).
*/
edge(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this.#isDirected, arguments[0])
: edgeArgsToId(this.#isDirected, v, w, name));
return this.#edgeLabels[e];
}
/**
* Detects whether the graph contains specified edge or not. No subgraphs are considered.
* Complexity: O(1).
*/
hasEdge(v, w, name) {
var e = (arguments.length === 1
? edgeObjToId(this.#isDirected, arguments[0])
: edgeArgsToId(this.#isDirected, v, w, name));
return this.#edgeLabels.hasOwnProperty(e);
}
/**
* Removes the specified edge from the graph. No subgraphs are considered.
* Complexity: O(1).
*/
removeEdge(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 edges.filter(edge => edge.v === u);
return this;
}
};
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
Graph.prototype.outEdges = function(v, w) {
var outV = this._out[v];
if (outV) {
var edges = Object.values(outV);
if (!w) {
return edges;
/**
* Return all edges that point to the node v. Optionally filters those edges down to just those
* coming from node u. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
inEdges(v, u) {
var inV = this.#in[v];
if (inV) {
var edges = Object.values(inV);
if (!u) {
return edges;
}
return edges.filter(edge => edge.v === u);
}
return edges.filter(edge => edge.w === w);
}
};
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/
Graph.prototype.nodeEdges = function(v, w) {
var inEdges = this.inEdges(v, w);
if (inEdges) {
return inEdges.concat(this.outEdges(v, w));
/**
* Return all edges that are pointed at by node v. Optionally filters those edges down to just
* those point to w. Behavior is undefined for undirected graphs - use nodeEdges instead.
* Complexity: O(|E|).
*/
outEdges(v, w) {
var outV = this.#out[v];
if (outV) {
var edges = Object.values(outV);
if (!w) {
return edges;
}
return edges.filter(edge => edge.w === w);
}
}
};
/**
* Returns all edges to or from node v regardless of direction. Optionally filters those edges
* down to just those between nodes v and w regardless of direction.
* Complexity: O(|E|).
*/
nodeEdges(v, w) {
var inEdges = this.inEdges(v, w);
if (inEdges) {
return inEdges.concat(this.outEdges(v, w));
}
}
}
function incrementOrInitEntry(map, k) {

@@ -682,1 +683,3 @@ if (map[k]) {

}
module.exports = Graph;

@@ -1,1 +0,1 @@

module.exports = '2.1.9';
module.exports = '2.1.11';
{
"name": "@dagrejs/graphlib",
"version": "2.1.10",
"version": "2.1.11",
"description": "A directed and undirected multi-graph library",

@@ -20,2 +20,3 @@ "author": "Chris Pettitt <cpettitt@gmail.com>",

},
"types": "index.d.ts",
"keywords": [

@@ -25,3 +26,2 @@ "graph",

],
"dependencies": {},
"devDependencies": {

@@ -32,3 +32,2 @@ "benchmark": "2.1.4",

"eslint": "8.35.0",
"istanbul": "^0.4.5",
"jshint": "2.13.5",

@@ -43,2 +42,3 @@ "jshint-stylish": "2.2.1",

"mocha": "10.1.0",
"nyc": "^15.1.0",
"requirejs": "2.3.6",

@@ -45,0 +45,0 @@ "seedrandom": "3.0.5",

@@ -11,2 +11,4 @@ # Graphlib

There are 2 versions on NPM, but only [the one in the DagreJs org](https://www.npmjs.com/package/@dagrejs/graphlib) is receiving updates right now.
# License

@@ -13,0 +15,0 @@

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