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 <sstream> |
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21 | #include <vector> |
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22 | #include <queue> |
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23 | #include <lemon/math.h> |
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24 | #include <cstdlib> |
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25 | |
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26 | #include "test_tools.h" |
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27 | #include <lemon/smart_graph.h> |
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28 | #include <lemon/max_matching.h> |
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29 | #include <lemon/lgf_reader.h> |
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30 | |
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31 | using namespace std; |
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32 | using namespace lemon; |
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33 | |
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34 | GRAPH_TYPEDEFS(SmartGraph); |
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35 | |
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36 | const int lgfn = 3; |
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37 | const std::string lgf[lgfn] = { |
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38 | "@nodes\n" |
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39 | "label\n" |
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40 | "0\n" |
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41 | "1\n" |
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42 | "2\n" |
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43 | "3\n" |
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44 | "4\n" |
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45 | "5\n" |
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46 | "6\n" |
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47 | "7\n" |
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48 | "@edges\n" |
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49 | "label weight\n" |
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50 | "7 4 0 984\n" |
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51 | "0 7 1 73\n" |
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52 | "7 1 2 204\n" |
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53 | "2 3 3 583\n" |
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54 | "2 7 4 565\n" |
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55 | "2 1 5 582\n" |
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56 | "0 4 6 551\n" |
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57 | "2 5 7 385\n" |
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58 | "1 5 8 561\n" |
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59 | "5 3 9 484\n" |
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60 | "7 5 10 904\n" |
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61 | "3 6 11 47\n" |
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62 | "7 6 12 888\n" |
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63 | "3 0 13 747\n" |
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64 | "6 1 14 310\n", |
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65 | |
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66 | "@nodes\n" |
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67 | "label\n" |
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68 | "0\n" |
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69 | "1\n" |
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70 | "2\n" |
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71 | "3\n" |
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72 | "4\n" |
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73 | "5\n" |
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74 | "6\n" |
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75 | "7\n" |
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76 | "@edges\n" |
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77 | "label weight\n" |
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78 | "2 5 0 710\n" |
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79 | "0 5 1 241\n" |
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80 | "2 4 2 856\n" |
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81 | "2 6 3 762\n" |
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82 | "4 1 4 747\n" |
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83 | "6 1 5 962\n" |
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84 | "4 7 6 723\n" |
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85 | "1 7 7 661\n" |
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86 | "2 3 8 376\n" |
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87 | "1 0 9 416\n" |
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88 | "6 7 10 391\n", |
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89 | |
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90 | "@nodes\n" |
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91 | "label\n" |
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92 | "0\n" |
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93 | "1\n" |
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94 | "2\n" |
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95 | "3\n" |
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96 | "4\n" |
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97 | "5\n" |
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98 | "6\n" |
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99 | "7\n" |
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100 | "@edges\n" |
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101 | "label weight\n" |
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102 | "6 2 0 553\n" |
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103 | "0 7 1 653\n" |
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104 | "6 3 2 22\n" |
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105 | "4 7 3 846\n" |
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106 | "7 2 4 981\n" |
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107 | "7 6 5 250\n" |
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108 | "5 2 6 539\n" |
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109 | }; |
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110 | |
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111 | void checkMatching(const SmartGraph& graph, |
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112 | const SmartGraph::EdgeMap<int>& weight, |
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113 | const MaxWeightedMatching<SmartGraph>& mwm) { |
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114 | for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) { |
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115 | if (graph.u(e) == graph.v(e)) continue; |
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116 | int rw = |
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117 | mwm.nodeValue(graph.u(e)) + mwm.nodeValue(graph.v(e)); |
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118 | |
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119 | for (int i = 0; i < mwm.blossomNum(); ++i) { |
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120 | bool s = false, t = false; |
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121 | for (MaxWeightedMatching<SmartGraph>::BlossomIt n(mwm, i); |
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122 | n != INVALID; ++n) { |
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123 | if (graph.u(e) == n) s = true; |
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124 | if (graph.v(e) == n) t = true; |
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125 | } |
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126 | if (s == true && t == true) { |
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127 | rw += mwm.blossomValue(i); |
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128 | } |
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129 | } |
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130 | rw -= weight[e] * mwm.dualScale; |
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131 | |
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132 | check(rw >= 0, "Negative reduced weight"); |
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133 | check(rw == 0 || !mwm.matching(e), |
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134 | "Non-zero reduced weight on matching arc"); |
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135 | } |
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136 | |
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137 | int pv = 0; |
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138 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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139 | if (mwm.matching(n) != INVALID) { |
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140 | check(mwm.nodeValue(n) >= 0, "Invalid node value"); |
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141 | pv += weight[mwm.matching(n)]; |
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142 | SmartGraph::Node o = graph.target(mwm.matching(n)); |
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143 | check(mwm.mate(n) == o, "Invalid matching"); |
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144 | check(mwm.matching(n) == graph.oppositeArc(mwm.matching(o)), |
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145 | "Invalid matching"); |
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146 | } else { |
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147 | check(mwm.mate(n) == INVALID, "Invalid matching"); |
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148 | check(mwm.nodeValue(n) == 0, "Invalid matching"); |
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149 | } |
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150 | } |
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151 | |
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152 | int dv = 0; |
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153 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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154 | dv += mwm.nodeValue(n); |
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155 | } |
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156 | |
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157 | for (int i = 0; i < mwm.blossomNum(); ++i) { |
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158 | check(mwm.blossomValue(i) >= 0, "Invalid blossom value"); |
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159 | check(mwm.blossomSize(i) % 2 == 1, "Even blossom size"); |
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160 | dv += mwm.blossomValue(i) * ((mwm.blossomSize(i) - 1) / 2); |
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161 | } |
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162 | |
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163 | check(pv * mwm.dualScale == dv * 2, "Wrong duality"); |
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164 | |
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165 | return; |
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166 | } |
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167 | |
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168 | void checkPerfectMatching(const SmartGraph& graph, |
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169 | const SmartGraph::EdgeMap<int>& weight, |
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170 | const MaxWeightedPerfectMatching<SmartGraph>& mwpm) { |
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171 | for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) { |
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172 | if (graph.u(e) == graph.v(e)) continue; |
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173 | int rw = |
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174 | mwpm.nodeValue(graph.u(e)) + mwpm.nodeValue(graph.v(e)); |
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175 | |
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176 | for (int i = 0; i < mwpm.blossomNum(); ++i) { |
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177 | bool s = false, t = false; |
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178 | for (MaxWeightedPerfectMatching<SmartGraph>::BlossomIt n(mwpm, i); |
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179 | n != INVALID; ++n) { |
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180 | if (graph.u(e) == n) s = true; |
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181 | if (graph.v(e) == n) t = true; |
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182 | } |
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183 | if (s == true && t == true) { |
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184 | rw += mwpm.blossomValue(i); |
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185 | } |
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186 | } |
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187 | rw -= weight[e] * mwpm.dualScale; |
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188 | |
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189 | check(rw >= 0, "Negative reduced weight"); |
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190 | check(rw == 0 || !mwpm.matching(e), |
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191 | "Non-zero reduced weight on matching arc"); |
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192 | } |
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193 | |
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194 | int pv = 0; |
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195 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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196 | check(mwpm.matching(n) != INVALID, "Non perfect"); |
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197 | pv += weight[mwpm.matching(n)]; |
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198 | SmartGraph::Node o = graph.target(mwpm.matching(n)); |
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199 | check(mwpm.mate(n) == o, "Invalid matching"); |
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200 | check(mwpm.matching(n) == graph.oppositeArc(mwpm.matching(o)), |
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201 | "Invalid matching"); |
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202 | } |
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203 | |
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204 | int dv = 0; |
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205 | for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) { |
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206 | dv += mwpm.nodeValue(n); |
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207 | } |
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208 | |
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209 | for (int i = 0; i < mwpm.blossomNum(); ++i) { |
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210 | check(mwpm.blossomValue(i) >= 0, "Invalid blossom value"); |
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211 | check(mwpm.blossomSize(i) % 2 == 1, "Even blossom size"); |
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212 | dv += mwpm.blossomValue(i) * ((mwpm.blossomSize(i) - 1) / 2); |
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213 | } |
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214 | |
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215 | check(pv * mwpm.dualScale == dv * 2, "Wrong duality"); |
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216 | |
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217 | return; |
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218 | } |
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219 | |
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220 | |
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221 | int main() { |
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222 | |
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223 | for (int i = 0; i < lgfn; ++i) { |
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224 | SmartGraph graph; |
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225 | SmartGraph::EdgeMap<int> weight(graph); |
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226 | |
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227 | istringstream lgfs(lgf[i]); |
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228 | graphReader(graph, lgfs). |
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229 | edgeMap("weight", weight).run(); |
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230 | |
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231 | MaxWeightedMatching<SmartGraph> mwm(graph, weight); |
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232 | mwm.run(); |
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233 | checkMatching(graph, weight, mwm); |
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234 | |
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235 | MaxMatching<SmartGraph> mm(graph); |
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236 | mm.run(); |
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237 | |
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238 | MaxWeightedPerfectMatching<SmartGraph> mwpm(graph, weight); |
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239 | bool perfect = mwpm.run(); |
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240 | |
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241 | check(perfect == (mm.size() * 2 == countNodes(graph)), |
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242 | "Perfect matching found"); |
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243 | |
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244 | if (perfect) { |
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245 | checkPerfectMatching(graph, weight, mwpm); |
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246 | } |
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247 | } |
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248 | |
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249 | return 0; |
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250 | } |
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