1 | /* -*- C++ -*- |
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2 | * |
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3 | * This file is a part of LEMON, a generic C++ optimization library |
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4 | * |
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5 | * Copyright (C) 2003-2008 |
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6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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8 | * |
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9 | * Permission to use, modify and distribute this software is granted |
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10 | * provided that this copyright notice appears in all copies. For |
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11 | * precise terms see the accompanying LICENSE file. |
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12 | * |
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13 | * This software is provided "AS IS" with no warranty of any kind, |
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14 | * express or implied, and with no claim as to its suitability for any |
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15 | * purpose. |
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16 | * |
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17 | */ |
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18 | |
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19 | #include <iostream> |
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20 | #include <set> |
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21 | #include <vector> |
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22 | #include <iterator> |
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23 | |
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24 | #include <cmath> |
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25 | #include <cstdlib> |
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26 | |
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27 | #include <lemon/smart_graph.h> |
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28 | #include <lemon/min_cost_arborescence.h> |
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29 | |
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30 | #include <lemon/graph_utils.h> |
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31 | #include <lemon/time_measure.h> |
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32 | |
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33 | #include <lemon/tolerance.h> |
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34 | |
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35 | #include "test_tools.h" |
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36 | |
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37 | using namespace lemon; |
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38 | using namespace std; |
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39 | |
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40 | const int NODES = 10; |
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41 | const int EDGES = 22; |
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42 | |
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43 | int sourceNode = 0; |
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44 | |
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45 | int sources[EDGES] = { |
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46 | 1, 0, 2, 4, 4, 3, 9, 8, 9, 8, |
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47 | 4, 2, 0, 6, 4, 1, 7, 2, 8, 6, |
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48 | 1, 0 |
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49 | }; |
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50 | |
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51 | int targets[EDGES] = { |
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52 | 8, 3, 1, 1, 4, 9, 8, 1, 8, 0, |
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53 | 3, 2, 1, 3, 1, 1, 2, 6, 3, 9, |
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54 | 1, 3 |
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55 | }; |
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56 | |
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57 | double costs[EDGES] = { |
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58 | 107.444, 70.3069, 46.0496, 28.3962, 91.4325, |
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59 | 76.9443, 61.986, 39.3754, 74.9575, 39.3153, |
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60 | 45.7094, 34.6184, 100.156, 95.726, 22.3429, |
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61 | 31.587, 51.6972, 29.6773, 115.038, 32.4137, |
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62 | 60.0038, 40.1237 |
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63 | }; |
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64 | |
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65 | |
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66 | |
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67 | int main() { |
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68 | typedef SmartGraph Graph; |
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69 | GRAPH_TYPEDEFS(Graph); |
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70 | |
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71 | typedef Graph::EdgeMap<double> CostMap; |
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72 | |
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73 | Graph graph; |
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74 | CostMap cost(graph); |
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75 | vector<Node> nodes; |
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76 | |
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77 | for (int i = 0; i < NODES; ++i) { |
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78 | nodes.push_back(graph.addNode()); |
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79 | } |
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80 | |
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81 | for (int i = 0; i < EDGES; ++i) { |
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82 | Edge edge = graph.addEdge(nodes[sources[i]], nodes[targets[i]]); |
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83 | cost[edge] = costs[i]; |
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84 | } |
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85 | |
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86 | Node source = nodes[sourceNode]; |
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87 | |
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88 | MinCostArborescence<Graph, CostMap> mca(graph, cost); |
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89 | mca.run(source); |
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90 | |
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91 | vector<pair<double, set<Node> > > dualSolution(mca.dualSize()); |
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92 | |
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93 | for (int i = 0; i < mca.dualSize(); ++i) { |
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94 | dualSolution[i].first = mca.dualValue(i); |
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95 | for (MinCostArborescence<Graph, CostMap>::DualIt it(mca, i); |
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96 | it != INVALID; ++it) { |
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97 | dualSolution[i].second.insert(it); |
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98 | } |
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99 | } |
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100 | |
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101 | Tolerance<double> tolerance; |
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102 | |
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103 | for (EdgeIt it(graph); it != INVALID; ++it) { |
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104 | if (mca.reached(graph.source(it))) { |
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105 | double sum = 0.0; |
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106 | for (int i = 0; i < int(dualSolution.size()); ++i) { |
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107 | if (dualSolution[i].second.find(graph.target(it)) |
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108 | != dualSolution[i].second.end() && |
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109 | dualSolution[i].second.find(graph.source(it)) |
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110 | == dualSolution[i].second.end()) { |
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111 | sum += dualSolution[i].first; |
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112 | } |
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113 | } |
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114 | if (mca.arborescence(it)) { |
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115 | check(!tolerance.less(sum, cost[it]), "INVALID DUAL"); |
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116 | } |
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117 | check(!tolerance.less(cost[it], sum), "INVALID DUAL"); |
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118 | } |
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119 | } |
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120 | |
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121 | |
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122 | check(!tolerance.different(mca.dualValue(), mca.arborescenceValue()), |
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123 | "INVALID DUAL"); |
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124 | |
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125 | |
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126 | check(mca.reached(source), "INVALID ARBORESCENCE"); |
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127 | for (EdgeIt it(graph); it != INVALID; ++it) { |
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128 | check(!mca.reached(graph.source(it)) || |
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129 | mca.reached(graph.target(it)), "INVALID ARBORESCENCE"); |
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130 | } |
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131 | |
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132 | for (NodeIt it(graph); it != INVALID; ++it) { |
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133 | if (!mca.reached(it)) continue; |
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134 | int cnt = 0; |
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135 | for (InEdgeIt jt(graph, it); jt != INVALID; ++jt) { |
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136 | if (mca.arborescence(jt)) { |
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137 | ++cnt; |
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138 | } |
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139 | } |
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140 | check((it == source ? cnt == 0 : cnt == 1), "INVALID ARBORESCENCE"); |
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141 | } |
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142 | |
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143 | return 0; |
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144 | } |
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