1 | /* -*- mode: C++; indent-tabs-mode: nil; -*- |
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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 <lemon/smart_graph.h> |
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25 | #include <lemon/min_cost_arborescence.h> |
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26 | #include <lemon/lgf_reader.h> |
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27 | |
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28 | #include "test_tools.h" |
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29 | |
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30 | using namespace lemon; |
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31 | using namespace std; |
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32 | |
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33 | const char test_lgf[] = |
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34 | "@nodes\n" |
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35 | "label\n" |
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36 | "0\n" |
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37 | "1\n" |
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38 | "2\n" |
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39 | "3\n" |
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40 | "4\n" |
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41 | "5\n" |
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42 | "6\n" |
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43 | "7\n" |
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44 | "8\n" |
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45 | "9\n" |
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46 | "@arcs\n" |
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47 | " label cost\n" |
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48 | "1 8 0 107\n" |
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49 | "0 3 1 70\n" |
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50 | "2 1 2 46\n" |
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51 | "4 1 3 28\n" |
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52 | "4 4 4 91\n" |
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53 | "3 9 5 76\n" |
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54 | "9 8 6 61\n" |
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55 | "8 1 7 39\n" |
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56 | "9 8 8 74\n" |
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57 | "8 0 9 39\n" |
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58 | "4 3 10 45\n" |
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59 | "2 2 11 34\n" |
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60 | "0 1 12 100\n" |
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61 | "6 3 13 95\n" |
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62 | "4 1 14 22\n" |
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63 | "1 1 15 31\n" |
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64 | "7 2 16 51\n" |
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65 | "2 6 17 29\n" |
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66 | "8 3 18 115\n" |
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67 | "6 9 19 32\n" |
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68 | "1 1 20 60\n" |
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69 | "0 3 21 40\n" |
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70 | "@attributes\n" |
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71 | "source 0\n"; |
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72 | |
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73 | int main() { |
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74 | typedef SmartDigraph Digraph; |
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75 | DIGRAPH_TYPEDEFS(Digraph); |
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76 | |
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77 | typedef Digraph::ArcMap<double> CostMap; |
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78 | |
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79 | Digraph digraph; |
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80 | CostMap cost(digraph); |
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81 | Node source; |
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82 | |
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83 | std::istringstream is(test_lgf); |
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84 | digraphReader(digraph, is). |
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85 | arcMap("cost", cost). |
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86 | node("source", source).run(); |
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87 | |
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88 | MinCostArborescence<Digraph, CostMap> mca(digraph, 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.dualNum()); |
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92 | |
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93 | for (int i = 0; i < mca.dualNum(); ++i) { |
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94 | dualSolution[i].first = mca.dualValue(i); |
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95 | for (MinCostArborescence<Digraph, 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 | for (ArcIt it(digraph); it != INVALID; ++it) { |
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102 | if (mca.reached(digraph.source(it))) { |
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103 | double sum = 0.0; |
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104 | for (int i = 0; i < int(dualSolution.size()); ++i) { |
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105 | if (dualSolution[i].second.find(digraph.target(it)) |
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106 | != dualSolution[i].second.end() && |
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107 | dualSolution[i].second.find(digraph.source(it)) |
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108 | == dualSolution[i].second.end()) { |
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109 | sum += dualSolution[i].first; |
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110 | } |
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111 | } |
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112 | if (mca.arborescence(it)) { |
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113 | check(sum == cost[it], "INVALID DUAL"); |
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114 | } |
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115 | check(sum <= cost[it], "INVALID DUAL"); |
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116 | } |
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117 | } |
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118 | |
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119 | |
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120 | check(mca.dualValue() == mca.arborescenceValue(), "INVALID DUAL"); |
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121 | |
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122 | check(mca.reached(source), "INVALID ARBORESCENCE"); |
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123 | for (ArcIt a(digraph); a != INVALID; ++a) { |
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124 | check(!mca.reached(digraph.source(a)) || |
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125 | mca.reached(digraph.target(a)), "INVALID ARBORESCENCE"); |
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126 | } |
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127 | |
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128 | for (NodeIt n(digraph); n != INVALID; ++n) { |
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129 | if (!mca.reached(n)) continue; |
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130 | int cnt = 0; |
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131 | for (InArcIt a(digraph, n); a != INVALID; ++a) { |
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132 | if (mca.arborescence(a)) { |
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133 | check(mca.pred(n) == a, "INVALID ARBORESCENCE"); |
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134 | ++cnt; |
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135 | } |
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136 | } |
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137 | check((n == source ? cnt == 0 : cnt == 1), "INVALID ARBORESCENCE"); |
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138 | } |
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139 | |
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140 | Digraph::ArcMap<bool> arborescence(digraph); |
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141 | check(mca.arborescenceValue() == |
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142 | minCostArborescence(digraph, cost, source, arborescence), |
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143 | "WRONG FUNCTION"); |
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144 | |
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145 | return 0; |
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146 | } |
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