1 | #include <iostream> |
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2 | #include <vector> |
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3 | |
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4 | #include <cmath> |
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5 | #include <cstdlib> |
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6 | |
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7 | #include <lemon/smart_graph.h> |
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8 | #include <lemon/dijkstra.h> |
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9 | #include <lemon/floyd_warshall.h> |
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10 | #include <lemon/johnson.h> |
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11 | |
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12 | #include <lemon/fib_heap.h> |
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13 | |
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14 | #include <lemon/time_measure.h> |
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15 | #include "test_tools.h" |
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16 | |
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17 | using namespace lemon; |
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18 | using namespace std; |
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19 | |
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20 | int main(int argc, const char *argv[]) { |
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21 | srand(time(0)); |
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22 | typedef SmartGraph Graph; |
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23 | typedef Graph::Node Node; |
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24 | typedef Graph::Edge Edge; |
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25 | typedef Graph::NodeIt NodeIt; |
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26 | typedef Graph::EdgeIt EdgeIt; |
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27 | |
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28 | typedef Graph::EdgeMap<double> LengthMap; |
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29 | typedef Graph::NodeMap<double> DistMap; |
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30 | |
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31 | const int n = argc > 1 ? atoi(argv[1]) : 20; |
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32 | const int e = argc > 2 ? atoi(argv[2]) : (int)(n * log((double)n)); |
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33 | const double m = argc > 3 ? (double)atoi(argv[3]) : 100.0; |
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34 | |
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35 | Graph graph; |
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36 | LengthMap length(graph); |
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37 | vector<Node> nodes; |
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38 | |
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39 | DistMap shift(graph); |
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40 | for (int i = 0; i < n; ++i) { |
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41 | Node node = graph.addNode(); |
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42 | nodes.push_back(node); |
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43 | shift[node] = m * (double)rand() / (RAND_MAX + 1.0); |
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44 | } |
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45 | |
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46 | for (int i = 0; i < e; ++i) { |
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47 | int s = (int)(n * (double)rand() / (RAND_MAX + 1.0)); |
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48 | int t = (int)(n * (double)rand() / (RAND_MAX + 1.0)); |
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49 | double c = m * (double)rand() / (RAND_MAX + 1.0); |
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50 | Edge edge = graph.addEdge(nodes[s], nodes[t]); |
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51 | length[edge] = c - shift[nodes[s]] + shift[nodes[t]]; |
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52 | } |
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53 | |
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54 | Johnson<Graph, LengthMap> johnson(graph, length); |
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55 | { |
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56 | Timer timer; |
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57 | johnson.run(); |
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58 | cout << "Johnson: " << timer << endl; |
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59 | } |
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60 | |
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61 | typedef FibHeap<Node, double, Graph::NodeMap<int> > DoubleFibHeap; |
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62 | Johnson<Graph, LengthMap>::DefStandardHeap<DoubleFibHeap> |
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63 | ::Create fibJohnson(graph, length); |
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64 | { |
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65 | Timer timer; |
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66 | fibJohnson.run(); |
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67 | cout << "Johnson with fibonacci heap: " << timer << endl; |
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68 | } |
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69 | |
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70 | FloydWarshall<Graph, LengthMap> floyd(graph, length); |
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71 | { |
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72 | Timer timer; |
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73 | floyd.run(); |
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74 | cout << "FloydWarshall: " << timer << endl; |
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75 | } |
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76 | |
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77 | for (NodeIt it(graph); it != INVALID; ++it) { |
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78 | for (NodeIt jt(graph); jt != INVALID; ++jt) { |
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79 | check(johnson.connected(it, jt) == floyd.connected(it, jt), |
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80 | "Wrong connection in all pairs shortest path"); |
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81 | check(johnson.connected(it, jt) == fibJohnson.connected(it, jt), |
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82 | "Wrong connection in all pairs shortest path"); |
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83 | if (johnson.connected(it, jt)) { |
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84 | check(johnson.dist(it, jt) == floyd.dist(it, jt), |
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85 | "Wrong distance in all pairs shortest path"); |
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86 | check(johnson.dist(it, jt) == fibJohnson.dist(it, jt), |
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87 | "Wrong distance in all pairs shortest path"); |
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88 | if (it != jt) { |
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89 | check(johnson.dist(it, jt) == |
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90 | johnson.dist(it, johnson.predNode(it, jt)) + |
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91 | length[johnson.predEdge(it, jt)], |
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92 | "Wrong edge in all pairs shortest path"); |
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93 | check(fibJohnson.dist(it, jt) == |
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94 | fibJohnson.dist(it, fibJohnson.predNode(it, jt)) + |
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95 | length[fibJohnson.predEdge(it, jt)], |
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96 | "Wrong edge in all pairs shortest path"); |
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97 | check(floyd.dist(it, jt) == |
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98 | floyd.dist(it, floyd.predNode(it, jt)) + |
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99 | length[floyd.predEdge(it, jt)], |
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100 | "Wrong edge in all pairs shortest path"); |
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101 | } |
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102 | } |
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103 | } |
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104 | } |
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105 | |
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106 | return 0; |
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107 | } |
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