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Add more comments for Dijkstra.
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@ -1,30 +1,44 @@
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import PriorityQueue from '../../../data-structures/priority-queue/PriorityQueue';
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/**
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* @param {Graph} graph
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* @param {GraphVertex} startVertex
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* @typedef {Object} ShortestPaths
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* @property {Object} distances - shortest distances to all vertices
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* @property {Object} previousVertices - shortest paths to all vertices.
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*/
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/**
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* Implementation of Dijkstra algorithm of finding the shortest paths to graph nodes.
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* @param {Graph} graph - graph we're going to traverse.
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* @param {GraphVertex} startVertex - traversal start vertex.
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* @return {ShortestPaths}
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*/
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export default function dijkstra(graph, startVertex) {
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// Init helper variables that we will need for Dijkstra algorithm.
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const distances = {};
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const visitedVertices = {};
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const previousVertices = {};
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const queue = new PriorityQueue();
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// Init all distances with infinity assuming that currently we can't reach
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// any of the vertices except start one.
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// any of the vertices except the start one.
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graph.getAllVertices().forEach((vertex) => {
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distances[vertex.getKey()] = Infinity;
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previousVertices[vertex.getKey()] = null;
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});
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// We are already at the startVertex so the distance to it is zero.
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distances[startVertex.getKey()] = 0;
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// Init vertices queue.
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queue.add(startVertex, distances[startVertex.getKey()]);
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// Iterate over the priority queue of vertices until it is empty.
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while (!queue.isEmpty()) {
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// Fetch next closest vertex.
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const currentVertex = queue.poll();
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graph.getNeighbors(currentVertex).forEach((neighbor) => {
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// Iterate over every unvisited neighbor of the current vertex.
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currentVertex.getNeighbors().forEach((neighbor) => {
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// Don't visit already visited vertices.
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if (!visitedVertices[neighbor.getKey()]) {
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// Update distances to every neighbor from current vertex.
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@ -33,15 +47,16 @@ export default function dijkstra(graph, startVertex) {
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const existingDistanceToNeighbor = distances[neighbor.getKey()];
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const distanceToNeighborFromCurrent = distances[currentVertex.getKey()] + edge.weight;
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// If we've found shorter path to the neighbor - update it.
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if (distanceToNeighborFromCurrent < existingDistanceToNeighbor) {
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distances[neighbor.getKey()] = distanceToNeighborFromCurrent;
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// Change priority.
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// Change priority of the neighbor in a queue since it might have became closer.
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if (queue.hasValue(neighbor)) {
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queue.changePriority(neighbor, distances[neighbor.getKey()]);
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}
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// Remember previous vertex.
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// Remember previous closest vertex.
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previousVertices[neighbor.getKey()] = currentVertex;
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}
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@ -52,10 +67,12 @@ export default function dijkstra(graph, startVertex) {
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}
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});
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// Add current vertex to visited ones.
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// Add current vertex to visited ones to avoid visiting it again later.
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visitedVertices[currentVertex.getKey()] = currentVertex;
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}
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// Return the set of shortest distances to all vertices and the set of
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// shortest paths to all vertices in a graph.
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return {
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distances,
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previousVertices,
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