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) 2003-2010 |
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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 | #include <lemon/concepts/digraph.h> |
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28 | |
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29 | #include "test_tools.h" |
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30 | |
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31 | using namespace lemon; |
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32 | using namespace std; |
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33 | |
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34 | const char test_lgf[] = |
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35 | "@nodes\n" |
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36 | "label\n" |
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37 | "0\n" |
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38 | "1\n" |
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39 | "2\n" |
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40 | "3\n" |
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41 | "4\n" |
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42 | "5\n" |
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43 | "6\n" |
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44 | "7\n" |
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45 | "8\n" |
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46 | "9\n" |
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47 | "@arcs\n" |
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48 | " label cost\n" |
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49 | "1 8 0 107\n" |
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50 | "0 3 1 70\n" |
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51 | "2 1 2 46\n" |
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52 | "4 1 3 28\n" |
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53 | "4 4 4 91\n" |
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54 | "3 9 5 76\n" |
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55 | "9 8 6 61\n" |
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56 | "8 1 7 39\n" |
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57 | "9 8 8 74\n" |
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58 | "8 0 9 39\n" |
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59 | "4 3 10 45\n" |
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60 | "2 2 11 34\n" |
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61 | "0 1 12 100\n" |
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62 | "6 3 13 95\n" |
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63 | "4 1 14 22\n" |
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64 | "1 1 15 31\n" |
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65 | "7 2 16 51\n" |
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66 | "2 6 17 29\n" |
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67 | "8 3 18 115\n" |
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68 | "6 9 19 32\n" |
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69 | "1 1 20 60\n" |
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70 | "0 3 21 40\n" |
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71 | "@attributes\n" |
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72 | "source 0\n"; |
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73 | |
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74 | |
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75 | void checkMinCostArborescenceCompile() |
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76 | { |
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77 | typedef double VType; |
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78 | typedef concepts::Digraph Digraph; |
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79 | typedef concepts::ReadMap<Digraph::Arc, VType> CostMap; |
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80 | typedef Digraph::Node Node; |
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81 | typedef Digraph::Arc Arc; |
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82 | typedef concepts::WriteMap<Digraph::Arc, bool> ArbMap; |
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83 | typedef concepts::ReadWriteMap<Digraph::Node, Digraph::Arc> PredMap; |
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84 | |
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85 | typedef MinCostArborescence<Digraph, CostMap>:: |
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86 | SetArborescenceMap<ArbMap>:: |
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87 | SetPredMap<PredMap>::Create MinCostArbType; |
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88 | |
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89 | Digraph g; |
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90 | Node s, n; |
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91 | Arc e; |
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92 | VType c; |
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93 | bool b; |
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94 | ignore_unused_variable_warning(c,b); |
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95 | int i; |
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96 | CostMap cost; |
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97 | ArbMap arb; |
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98 | PredMap pred; |
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99 | |
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100 | MinCostArbType mcarb_test(g, cost); |
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101 | const MinCostArbType& const_mcarb_test = mcarb_test; |
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102 | |
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103 | mcarb_test |
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104 | .arborescenceMap(arb) |
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105 | .predMap(pred) |
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106 | .run(s); |
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107 | |
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108 | mcarb_test.init(); |
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109 | mcarb_test.addSource(s); |
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110 | mcarb_test.start(); |
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111 | n = mcarb_test.processNextNode(); |
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112 | b = const_mcarb_test.emptyQueue(); |
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113 | i = const_mcarb_test.queueSize(); |
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114 | |
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115 | c = const_mcarb_test.arborescenceCost(); |
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116 | b = const_mcarb_test.arborescence(e); |
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117 | e = const_mcarb_test.pred(n); |
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118 | const MinCostArbType::ArborescenceMap &am = |
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119 | const_mcarb_test.arborescenceMap(); |
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120 | const MinCostArbType::PredMap &pm = |
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121 | const_mcarb_test.predMap(); |
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122 | b = const_mcarb_test.reached(n); |
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123 | b = const_mcarb_test.processed(n); |
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124 | |
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125 | i = const_mcarb_test.dualNum(); |
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126 | c = const_mcarb_test.dualValue(); |
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127 | i = const_mcarb_test.dualSize(i); |
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128 | c = const_mcarb_test.dualValue(i); |
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129 | |
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130 | ignore_unused_variable_warning(am); |
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131 | ignore_unused_variable_warning(pm); |
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132 | } |
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133 | |
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134 | int main() { |
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135 | typedef SmartDigraph Digraph; |
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136 | DIGRAPH_TYPEDEFS(Digraph); |
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137 | |
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138 | typedef Digraph::ArcMap<double> CostMap; |
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139 | |
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140 | Digraph digraph; |
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141 | CostMap cost(digraph); |
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142 | Node source; |
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143 | |
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144 | std::istringstream is(test_lgf); |
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145 | digraphReader(digraph, is). |
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146 | arcMap("cost", cost). |
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147 | node("source", source).run(); |
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148 | |
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149 | MinCostArborescence<Digraph, CostMap> mca(digraph, cost); |
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150 | mca.run(source); |
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151 | |
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152 | vector<pair<double, set<Node> > > dualSolution(mca.dualNum()); |
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153 | |
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154 | for (int i = 0; i < mca.dualNum(); ++i) { |
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155 | dualSolution[i].first = mca.dualValue(i); |
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156 | for (MinCostArborescence<Digraph, CostMap>::DualIt it(mca, i); |
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157 | it != INVALID; ++it) { |
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158 | dualSolution[i].second.insert(it); |
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159 | } |
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160 | } |
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161 | |
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162 | for (ArcIt it(digraph); it != INVALID; ++it) { |
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163 | if (mca.reached(digraph.source(it))) { |
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164 | double sum = 0.0; |
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165 | for (int i = 0; i < int(dualSolution.size()); ++i) { |
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166 | if (dualSolution[i].second.find(digraph.target(it)) |
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167 | != dualSolution[i].second.end() && |
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168 | dualSolution[i].second.find(digraph.source(it)) |
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169 | == dualSolution[i].second.end()) { |
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170 | sum += dualSolution[i].first; |
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171 | } |
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172 | } |
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173 | if (mca.arborescence(it)) { |
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174 | check(sum == cost[it], "Invalid dual solution"); |
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175 | } |
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176 | check(sum <= cost[it], "Invalid dual solution"); |
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177 | } |
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178 | } |
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179 | |
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180 | |
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181 | check(mca.dualValue() == mca.arborescenceCost(), "Invalid dual solution"); |
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182 | |
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183 | check(mca.reached(source), "Invalid arborescence"); |
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184 | for (ArcIt a(digraph); a != INVALID; ++a) { |
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185 | check(!mca.reached(digraph.source(a)) || |
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186 | mca.reached(digraph.target(a)), "Invalid arborescence"); |
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187 | } |
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188 | |
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189 | for (NodeIt n(digraph); n != INVALID; ++n) { |
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190 | if (!mca.reached(n)) continue; |
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191 | int cnt = 0; |
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192 | for (InArcIt a(digraph, n); a != INVALID; ++a) { |
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193 | if (mca.arborescence(a)) { |
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194 | check(mca.pred(n) == a, "Invalid arborescence"); |
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195 | ++cnt; |
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196 | } |
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197 | } |
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198 | check((n == source ? cnt == 0 : cnt == 1), "Invalid arborescence"); |
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199 | } |
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200 | |
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201 | Digraph::ArcMap<bool> arborescence(digraph); |
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202 | check(mca.arborescenceCost() == |
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203 | minCostArborescence(digraph, cost, source, arborescence), |
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204 | "Wrong result of the function interface"); |
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205 | |
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206 | return 0; |
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207 | } |
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