1 | // -*- c++ -*- // |
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2 | #ifndef HUGO_KRUSKAL_H |
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3 | #define HUGO_KRUSKAL_H |
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4 | |
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5 | #include "unionfind.h" |
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6 | #include <algorithm> |
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7 | |
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8 | namespace hugo { |
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9 | |
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10 | template <typename Graph, typename EdgeCostMap, typename RetEdgeBoolMap> |
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11 | typename EdgeCostMap::ValueType |
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12 | kruskal1(Graph const& G, EdgeCostMap const& edge_costs, |
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13 | RetEdgeBoolMap &ret_bool_map); |
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14 | |
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15 | template <typename Graph, typename EdgeCostMap, typename RetIterator> |
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16 | typename EdgeCostMap::ValueType |
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17 | kruskal2(Graph const& G, EdgeCostMap const& edge_costs, |
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18 | RetIterator ret_iterator); |
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19 | |
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20 | // FIXME: ret_iterator nem lehet referencia!!! |
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21 | |
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22 | template <typename Graph, typename EdgeCostPairVec, typename RetEdgeBoolMap> |
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23 | typename EdgeCostPairVec::value_type::second_type |
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24 | kruskal3(Graph const& G, EdgeCostPairVec const& edge_cost_pair_vec, |
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25 | RetEdgeBoolMap &ret_bool_map); |
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26 | |
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27 | template <typename Graph, typename EdgeCostPairVec, typename RetIterator> |
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28 | typename EdgeCostPairVec::value_type::second_type |
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29 | kruskal4(Graph const& G, EdgeCostPairVec const& edge_cost_pair_vec, |
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30 | RetIterator &ret_iterator); |
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31 | |
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32 | template <typename Graph, typename EdgePairVec, typename RetEdgeBoolMap> |
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33 | int |
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34 | kruskal5(Graph const& G, EdgePairVec const& edge_pair_vec, |
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35 | RetEdgeBoolMap &ret_bool_map); |
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36 | |
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37 | template <typename Graph, typename EdgePairVec, typename RetIterator> |
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38 | int |
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39 | kruskal6(Graph const& G, EdgePairVec const& edge_pair_vec, |
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40 | RetIterator &ret_iterator); |
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41 | |
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42 | |
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43 | template <typename Graph, typename EdgeCostMap, typename RetEdgeBoolMap, |
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44 | typename RetIterator> |
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45 | typename EdgeCostMap::ValueType |
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46 | kruskal7(Graph const& G, EdgeCostMap const& edge_costs, |
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47 | RetEdgeBoolMap &ret_bool_map, RetIterator &ret_iterator); |
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48 | |
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49 | template <typename Graph, typename EdgeCostPairVec, typename RetEdgeBoolMap, |
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50 | typename RetIterator> |
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51 | typename EdgeCostPairVec::value_type::second_type |
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52 | kruskal8(Graph const& G, EdgeCostPairVec const& edge_cost_pair_vec, |
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53 | RetEdgeBoolMap &ret_bool_map, RetIterator &ret_iterator); |
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54 | |
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55 | template <typename Graph, typename EdgePairVec, typename RetEdgeBoolMap, |
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56 | typename RetIterator> |
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57 | int |
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58 | kruskal9(Graph const& G, EdgePairVec const& edge_pair_vec, |
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59 | RetEdgeBoolMap &ret_bool_map, RetIterator &ret_iterator); |
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60 | |
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61 | |
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62 | |
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63 | |
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64 | template <typename Graph, typename InputEdgeOrder, typename OutputObserver> |
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65 | class MinCostTreeKruskal |
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66 | { |
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67 | |
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68 | typedef typename Graph::EdgeIt EdgeIt; |
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69 | typedef typename Graph::Edge Edge; |
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70 | |
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71 | public: |
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72 | typedef typename InputEdgeOrder::ValueType EdgeCost; |
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73 | |
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74 | private: |
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75 | Graph const &G; |
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76 | InputEdgeOrder const &edges; |
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77 | OutputObserver &out_obs; |
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78 | |
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79 | public: |
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80 | |
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81 | |
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82 | MinCostTreeKruskal(Graph const& _G, InputEdgeOrder const& _edges, |
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83 | OutputObserver& _out_obs) : |
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84 | G(_G), edges(_edges), out_obs(_out_obs) {} |
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85 | |
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86 | |
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87 | EdgeCost run() |
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88 | { |
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89 | typedef typename Graph::NodeMap<int> NodeIntMap; |
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90 | typedef typename Graph::Node Node; |
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91 | NodeIntMap comp_map(G, -1); |
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92 | UnionFind<Node,NodeIntMap> uf(comp_map); |
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93 | |
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94 | EdgeCost tot_cost = 0; |
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95 | for (typename InputEdgeOrder::const_iterator p = edges.begin(); |
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96 | p!=edges.end(); ++p ) { |
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97 | if ( uf.joinComponents(G.head(edges.first(p)), |
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98 | G.tail(edges.first(p))) ) { |
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99 | out_obs.setTrue(edges.first(p)); |
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100 | tot_cost += edges.second(p); |
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101 | } |
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102 | else { |
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103 | out_obs.setFalse(edges.first(p)); |
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104 | } |
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105 | } |
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106 | return tot_cost; |
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107 | } |
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108 | |
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109 | }; |
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110 | |
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111 | |
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112 | /* ** ** Output-objektumok (Observerek (?)) ** ** */ |
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113 | |
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114 | template <typename BoolMap> |
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115 | class BoolMapOutput { |
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116 | BoolMap &bm; |
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117 | typedef typename BoolMap::KeyType KeyType; |
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118 | |
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119 | public: |
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120 | BoolMapOutput(BoolMap &_bm) : bm(_bm) {} |
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121 | |
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122 | void setTrue(KeyType const& k) { bm.set(k, true); } |
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123 | void setFalse(KeyType const& k) { bm.set(k, false); } |
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124 | }; |
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125 | |
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126 | template <typename Iterator> |
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127 | class SequenceOutput { |
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128 | Iterator ⁢ |
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129 | |
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130 | public: |
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131 | SequenceOutput(Iterator &_it) : it(_it) {} |
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132 | |
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133 | template<typename KeyType> |
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134 | void setTrue(KeyType const& k) { *it=k; ++it; } |
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135 | template<typename KeyType> |
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136 | void setFalse(KeyType const& k) {} |
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137 | }; |
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138 | |
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139 | template <typename BoolMap, typename Iterator> |
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140 | class CombinedOutput : BoolMapOutput<BoolMap>, SequenceOutput<Iterator> { |
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141 | typedef BoolMapOutput<BoolMap> BMO; |
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142 | typedef SequenceOutput<Iterator> SO; |
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143 | public: |
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144 | CombinedOutput(BoolMap &_bm, Iterator &_it) : |
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145 | BMO(_bm), SO(_it) {} |
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146 | |
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147 | template<typename KeyType> |
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148 | void setTrue(KeyType const& k) { |
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149 | BMO::setTrue(k); |
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150 | SO::setTrue(k); |
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151 | } |
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152 | template<typename KeyType> |
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153 | void setFalse(KeyType const& k) { |
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154 | BMO::setFalse(k); |
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155 | SO::setFalse(k); |
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156 | } |
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157 | }; |
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158 | |
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159 | |
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160 | /* ** ** InputSource -ok ** ** */ |
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161 | |
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162 | template<typename Key, typename Val> |
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163 | class PairVec : public std::vector< std::pair<Key,Val> > { |
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164 | |
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165 | public: |
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166 | typedef std::vector< std::pair<Key,Val> > Parent; |
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167 | typedef Key KeyType; |
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168 | typedef Val ValueType; |
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169 | typedef std::pair<Key,Val> PairType; |
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170 | |
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171 | typedef typename Parent::iterator iterator; |
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172 | typedef typename Parent::const_iterator const_iterator; |
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173 | |
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174 | |
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175 | private: |
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176 | |
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177 | class comparePair { |
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178 | public: |
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179 | bool operator()(PairType const& a, PairType const& b) { |
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180 | return a.second < b.second; |
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181 | } |
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182 | }; |
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183 | |
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184 | public: |
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185 | |
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186 | // FIXME: kell ez? |
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187 | // PairVec(Parent const& p) : Parent(p) {} |
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188 | |
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189 | void sort() { |
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190 | std::sort(begin(), end(), comparePair()); |
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191 | } |
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192 | |
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193 | // FIXME: nem nagyon illik ez ide... |
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194 | template<typename Graph, typename Map> |
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195 | void readGraphEdgeMap(Graph const& G, Map const& m) { |
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196 | typedef typename Graph::EdgeIt EdgeIt; |
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197 | |
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198 | clear(); |
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199 | for (EdgeIt e=G.template first<EdgeIt>(); G.valid(e); G.next(e)) { |
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200 | push_back(make_pair(e, m[e])); |
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201 | } |
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202 | |
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203 | sort(); |
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204 | } |
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205 | |
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206 | int alma() { return 5; /* FIXME */ } |
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207 | |
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208 | Key const& first(const_iterator i) const { return i->first; } |
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209 | Key& first(iterator i) { return i->first; } |
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210 | |
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211 | Val const& second(const_iterator i) const { return i->second; } |
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212 | Val& second(iterator i) { return i->second; } |
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213 | }; |
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214 | |
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215 | /* ** ** Wrapper fuggvenyek ** ** */ |
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216 | |
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217 | template <typename Graph, typename EdgeCostMap, typename RetEdgeBoolMap> |
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218 | typename EdgeCostMap::ValueType |
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219 | kruskal1(Graph const& G, EdgeCostMap const& edge_costs, |
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220 | RetEdgeBoolMap &ret_bool_map) { |
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221 | typedef BoolMapOutput<RetEdgeBoolMap> OutObs; |
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222 | OutObs out(ret_bool_map); |
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223 | |
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224 | typedef PairVec<typename Graph::Edge, typename EdgeCostMap::ValueType> |
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225 | InputVec; |
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226 | InputVec iv; |
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227 | iv.readGraphEdgeMap(G, edge_costs); |
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228 | |
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229 | MinCostTreeKruskal<Graph,InputVec,OutObs> mctk(G, iv, out); |
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230 | return mctk.run(); |
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231 | } |
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232 | |
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233 | template <typename Graph, typename EdgeCostMap, typename RetIterator> |
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234 | typename EdgeCostMap::ValueType |
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235 | kruskal2(Graph const& G, EdgeCostMap const& edge_costs, |
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236 | RetIterator ret_iterator) { |
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237 | typedef SequenceOutput<RetIterator> OutObs; |
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238 | OutObs out(ret_iterator); |
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239 | |
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240 | typedef PairVec<typename Graph::Edge, typename EdgeCostMap::ValueType> |
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241 | InputVec; |
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242 | InputVec iv; |
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243 | iv.readGraphEdgeMap(G, edge_costs); |
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244 | |
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245 | MinCostTreeKruskal<Graph,InputVec,OutObs> mctk(G, iv, out); |
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246 | return mctk.run(); |
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247 | } |
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248 | |
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249 | |
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250 | } //namespace hugo |
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251 | |
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252 | #endif //HUGO_KRUSKAL_H |
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