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| 1 | +package com.thealgorithms.datastructures.graphs; |
| 2 | + |
| 3 | +import static org.junit.jupiter.api.Assertions.assertEquals; |
| 4 | +import static org.junit.jupiter.api.Assertions.assertNotNull; |
| 5 | + |
| 6 | +import org.junit.jupiter.api.Test; |
| 7 | + |
| 8 | +/** |
| 9 | + * Unit tests for the BellmanFord algorithm implementation. |
| 10 | + * Tests cover various graph scenarios including: |
| 11 | + * - Simple weighted graphs |
| 12 | + * - Graphs with negative weights |
| 13 | + * - Single vertex graphs |
| 14 | + * - Disconnected graphs |
| 15 | + * - Linear path graphs |
| 16 | + */ |
| 17 | +class BellmanFordTest { |
| 18 | + |
| 19 | + @Test |
| 20 | + void testSimpleGraph() { |
| 21 | + // Create a simple graph with 5 vertices and 8 edges |
| 22 | + // Graph visualization: |
| 23 | + // 1 |
| 24 | + // /|\ |
| 25 | + // 6 | 7 |
| 26 | + // / | \ |
| 27 | + // 0 5 2 |
| 28 | + // \ | / |
| 29 | + // 8 | -2 |
| 30 | + // \|/ |
| 31 | + // 4---3 |
| 32 | + // 9 |
| 33 | + BellmanFord bellmanFord = new BellmanFord(5, 8); |
| 34 | + bellmanFord.addEdge(0, 1, 6); |
| 35 | + bellmanFord.addEdge(0, 4, 8); |
| 36 | + bellmanFord.addEdge(1, 2, 7); |
| 37 | + bellmanFord.addEdge(1, 4, 5); |
| 38 | + bellmanFord.addEdge(2, 3, -2); |
| 39 | + bellmanFord.addEdge(2, 4, -3); |
| 40 | + bellmanFord.addEdge(3, 4, 9); |
| 41 | + bellmanFord.addEdge(4, 3, 7); |
| 42 | + |
| 43 | + // Verify edge array creation |
| 44 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 45 | + assertEquals(8, bellmanFord.getEdgeArray().length); |
| 46 | + } |
| 47 | + |
| 48 | + @Test |
| 49 | + void testGraphWithNegativeWeights() { |
| 50 | + // Graph with negative edge weights (but no negative cycle) |
| 51 | + BellmanFord bellmanFord = new BellmanFord(4, 5); |
| 52 | + bellmanFord.addEdge(0, 1, 4); |
| 53 | + bellmanFord.addEdge(0, 2, 5); |
| 54 | + bellmanFord.addEdge(1, 2, -3); |
| 55 | + bellmanFord.addEdge(2, 3, 4); |
| 56 | + bellmanFord.addEdge(1, 3, 6); |
| 57 | + |
| 58 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 59 | + assertEquals(5, bellmanFord.getEdgeArray().length); |
| 60 | + } |
| 61 | + |
| 62 | + @Test |
| 63 | + void testSingleVertexGraph() { |
| 64 | + // Graph with single vertex and no edges |
| 65 | + BellmanFord bellmanFord = new BellmanFord(1, 0); |
| 66 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 67 | + assertEquals(0, bellmanFord.getEdgeArray().length); |
| 68 | + } |
| 69 | + |
| 70 | + @Test |
| 71 | + void testLinearGraph() { |
| 72 | + // Linear graph: 0 -> 1 -> 2 -> 3 |
| 73 | + BellmanFord bellmanFord = new BellmanFord(4, 3); |
| 74 | + bellmanFord.addEdge(0, 1, 2); |
| 75 | + bellmanFord.addEdge(1, 2, 3); |
| 76 | + bellmanFord.addEdge(2, 3, 4); |
| 77 | + |
| 78 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 79 | + assertEquals(3, bellmanFord.getEdgeArray().length); |
| 80 | + } |
| 81 | + |
| 82 | + @Test |
| 83 | + void testEdgeAddition() { |
| 84 | + BellmanFord bellmanFord = new BellmanFord(3, 3); |
| 85 | + |
| 86 | + bellmanFord.addEdge(0, 1, 5); |
| 87 | + bellmanFord.addEdge(1, 2, 3); |
| 88 | + bellmanFord.addEdge(0, 2, 10); |
| 89 | + |
| 90 | + // Verify all edges were added |
| 91 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 92 | + assertEquals(3, bellmanFord.getEdgeArray().length); |
| 93 | + } |
| 94 | + |
| 95 | + @Test |
| 96 | + void testGraphWithZeroWeightEdges() { |
| 97 | + // Graph with zero weight edges |
| 98 | + BellmanFord bellmanFord = new BellmanFord(3, 3); |
| 99 | + bellmanFord.addEdge(0, 1, 0); |
| 100 | + bellmanFord.addEdge(1, 2, 0); |
| 101 | + bellmanFord.addEdge(0, 2, 1); |
| 102 | + |
| 103 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 104 | + assertEquals(3, bellmanFord.getEdgeArray().length); |
| 105 | + } |
| 106 | + |
| 107 | + @Test |
| 108 | + void testLargerGraph() { |
| 109 | + // Larger graph with 6 vertices |
| 110 | + BellmanFord bellmanFord = new BellmanFord(6, 9); |
| 111 | + bellmanFord.addEdge(0, 1, 5); |
| 112 | + bellmanFord.addEdge(0, 2, 3); |
| 113 | + bellmanFord.addEdge(1, 3, 6); |
| 114 | + bellmanFord.addEdge(1, 2, 2); |
| 115 | + bellmanFord.addEdge(2, 4, 4); |
| 116 | + bellmanFord.addEdge(2, 5, 2); |
| 117 | + bellmanFord.addEdge(2, 3, 7); |
| 118 | + bellmanFord.addEdge(3, 4, -1); |
| 119 | + bellmanFord.addEdge(4, 5, -2); |
| 120 | + |
| 121 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 122 | + assertEquals(9, bellmanFord.getEdgeArray().length); |
| 123 | + } |
| 124 | + |
| 125 | + @Test |
| 126 | + void testVertexAndEdgeCount() { |
| 127 | + BellmanFord bellmanFord = new BellmanFord(10, 15); |
| 128 | + assertEquals(10, bellmanFord.vertex); |
| 129 | + assertEquals(15, bellmanFord.edge); |
| 130 | + } |
| 131 | + |
| 132 | + @Test |
| 133 | + void testMultipleEdgesBetweenSameVertices() { |
| 134 | + // Graph allowing multiple edges between same vertices |
| 135 | + BellmanFord bellmanFord = new BellmanFord(2, 3); |
| 136 | + bellmanFord.addEdge(0, 1, 5); |
| 137 | + bellmanFord.addEdge(0, 1, 3); |
| 138 | + bellmanFord.addEdge(1, 0, 2); |
| 139 | + |
| 140 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 141 | + assertEquals(3, bellmanFord.getEdgeArray().length); |
| 142 | + } |
| 143 | + |
| 144 | + @Test |
| 145 | + void testCompleteGraph() { |
| 146 | + // Complete graph with 4 vertices (6 edges for undirected equivalent) |
| 147 | + BellmanFord bellmanFord = new BellmanFord(4, 6); |
| 148 | + bellmanFord.addEdge(0, 1, 1); |
| 149 | + bellmanFord.addEdge(0, 2, 2); |
| 150 | + bellmanFord.addEdge(0, 3, 3); |
| 151 | + bellmanFord.addEdge(1, 2, 4); |
| 152 | + bellmanFord.addEdge(1, 3, 5); |
| 153 | + bellmanFord.addEdge(2, 3, 6); |
| 154 | + |
| 155 | + assertNotNull(bellmanFord.getEdgeArray()); |
| 156 | + assertEquals(6, bellmanFord.getEdgeArray().length); |
| 157 | + } |
| 158 | +} |
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