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Refactor Floyd-Warshall tests.
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@ -55,7 +55,7 @@ describe('floydWarshall', () => {
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.addEdge(edgeFG)
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.addEdge(edgeEG);
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const { distances, previousVertices } = floydWarshall(graph);
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const { distances, nextVertices } = floydWarshall(graph);
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const vertices = graph.getAllVertices();
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@ -77,13 +77,13 @@ describe('floydWarshall', () => {
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expect(distances[vertexAIndex][vertexGIndex]).toBe(12);
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expect(distances[vertexAIndex][vertexFIndex]).toBe(11);
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expect(previousVertices[vertexAIndex][vertexFIndex]).toBe(vertexD);
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expect(previousVertices[vertexAIndex][vertexDIndex]).toBe(vertexB);
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expect(previousVertices[vertexAIndex][vertexBIndex]).toBe(vertexA);
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expect(previousVertices[vertexAIndex][vertexGIndex]).toBe(vertexE);
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expect(previousVertices[vertexAIndex][vertexCIndex]).toBe(vertexA);
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expect(previousVertices[vertexAIndex][vertexAIndex]).toBe(null);
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expect(previousVertices[vertexAIndex][vertexHIndex]).toBe(null);
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expect(nextVertices[vertexAIndex][vertexFIndex]).toBe(vertexD);
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expect(nextVertices[vertexAIndex][vertexDIndex]).toBe(vertexB);
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expect(nextVertices[vertexAIndex][vertexBIndex]).toBe(vertexA);
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expect(nextVertices[vertexAIndex][vertexGIndex]).toBe(vertexE);
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expect(nextVertices[vertexAIndex][vertexCIndex]).toBe(vertexA);
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expect(nextVertices[vertexAIndex][vertexAIndex]).toBe(null);
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expect(nextVertices[vertexAIndex][vertexHIndex]).toBe(null);
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});
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it('should find minimum paths to all vertices for directed graph', () => {
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@ -119,7 +119,7 @@ describe('floydWarshall', () => {
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.addEdge(edgeCA)
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.addEdge(edgeCD);
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const { distances, previousVertices } = floydWarshall(graph);
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const { distances, nextVertices } = floydWarshall(graph);
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const vertices = graph.getAllVertices();
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@ -140,11 +140,11 @@ describe('floydWarshall', () => {
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[2, 5, 7, 0],
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]);
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expect(previousVertices[vertexAIndex][vertexDIndex]).toBe(vertexC);
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expect(previousVertices[vertexAIndex][vertexCIndex]).toBe(vertexB);
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expect(previousVertices[vertexBIndex][vertexDIndex]).toBe(vertexC);
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expect(previousVertices[vertexAIndex][vertexAIndex]).toBe(null);
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expect(previousVertices[vertexAIndex][vertexBIndex]).toBe(vertexA);
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expect(nextVertices[vertexAIndex][vertexDIndex]).toBe(vertexC);
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expect(nextVertices[vertexAIndex][vertexCIndex]).toBe(vertexB);
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expect(nextVertices[vertexBIndex][vertexDIndex]).toBe(vertexC);
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expect(nextVertices[vertexAIndex][vertexAIndex]).toBe(null);
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expect(nextVertices[vertexAIndex][vertexBIndex]).toBe(vertexA);
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});
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it('should find minimum paths to all vertices for directed graph with negative edge weights', () => {
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@ -188,7 +188,7 @@ describe('floydWarshall', () => {
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.addEdge(edgeCB)
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.addEdge(edgeBA);
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const { distances, previousVertices } = floydWarshall(graph);
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const { distances, nextVertices } = floydWarshall(graph);
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const vertices = graph.getAllVertices();
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@ -208,11 +208,13 @@ describe('floydWarshall', () => {
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expect(distances[vertexFIndex][vertexDIndex]).toBe(9);
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expect(distances[vertexFIndex][vertexEIndex]).toBe(8);
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expect(previousVertices[vertexFIndex][vertexGIndex]).toBe(null);
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expect(previousVertices[vertexFIndex][vertexFIndex]).toBe(null);
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// expect(previousVertices[vertexFIndex][vertexBIndex]).toBe(vertexC);
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// expect(previousVertices[vertexFIndex][vertexCIndex].getKey()).toBe(vertexA.getKey());
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// expect(previousVertices[vertexFIndex][vertexAIndex]).toBe(vertexD);
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// expect(previousVertices[vertexFIndex][vertexDIndex]).toBe(vertexE);
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expect(nextVertices[vertexFIndex][vertexGIndex]).toBe(null);
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expect(nextVertices[vertexFIndex][vertexFIndex]).toBe(null);
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expect(nextVertices[vertexAIndex][vertexBIndex]).toBe(vertexC);
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expect(nextVertices[vertexAIndex][vertexCIndex]).toBe(vertexA);
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expect(nextVertices[vertexFIndex][vertexBIndex]).toBe(vertexE);
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expect(nextVertices[vertexEIndex][vertexBIndex]).toBe(vertexD);
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expect(nextVertices[vertexDIndex][vertexBIndex]).toBe(vertexC);
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expect(nextVertices[vertexCIndex][vertexBIndex]).toBe(vertexC);
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});
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});
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@ -1,6 +1,6 @@
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/**
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* @param {Graph} graph
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* @return {{distances: number[][], previousVertices: GraphVertex[][]}}
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* @return {{distances: number[][], nextVertices: GraphVertex[][]}}
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*/
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export default function floydWarshall(graph) {
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// Get all graph vertices.
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@ -8,7 +8,7 @@ export default function floydWarshall(graph) {
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// Init previous vertices matrix with nulls meaning that there are no
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// previous vertices exist that will give us shortest path.
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const previousVertices = Array(vertices.length).fill(null).map(() => {
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const nextVertices = Array(vertices.length).fill(null).map(() => {
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return Array(vertices.length).fill(null);
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});
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@ -33,7 +33,7 @@ export default function floydWarshall(graph) {
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// There is an edge from vertex with startIndex to vertex with endIndex.
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// Save distance and previous vertex.
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distances[startIndex][endIndex] = edge.weight;
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previousVertices[startIndex][endIndex] = startVertex;
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nextVertices[startIndex][endIndex] = startVertex;
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} else {
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distances[startIndex][endIndex] = Infinity;
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}
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@ -60,13 +60,13 @@ export default function floydWarshall(graph) {
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if (distances[startIndex][endIndex] > distViaMiddle) {
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// We've found a shortest pass via middle vertex.
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distances[startIndex][endIndex] = distViaMiddle;
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previousVertices[startIndex][endIndex] = middleVertex;
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nextVertices[startIndex][endIndex] = middleVertex;
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}
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});
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});
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});
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// Shortest distance from x to y: distance[x][y].
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// Previous vertex of shortest path from x to y: previousVertices[x][y].
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return { distances, previousVertices };
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// Next vertex after x one in path from x to y: nextVertices[x][y].
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return { distances, nextVertices };
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}
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