1 | // -*- c++ -*- |
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2 | #ifndef LEMON_LP_SOLVER_WRAPPER_H |
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3 | #define LEMON_LP_SOLVER_WRAPPER_H |
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4 | |
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5 | ///\ingroup misc |
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6 | ///\file |
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7 | ///\brief Dijkstra algorithm. |
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8 | |
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9 | // #include <stdio.h> |
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10 | #include <stdlib.h> |
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11 | // #include <stdio> |
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12 | //#include <stdlib> |
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13 | extern "C" { |
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14 | #include "glpk.h" |
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15 | } |
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16 | |
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17 | #include <iostream> |
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18 | #include <vector> |
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19 | #include <string> |
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20 | #include <list> |
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21 | #include <memory> |
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22 | #include <utility> |
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23 | |
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24 | //#include <sage_graph.h> |
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25 | //#include <lemon/list_graph.h> |
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26 | //#include <lemon/graph_wrapper.h> |
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27 | #include <lemon/invalid.h> |
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28 | //#include <bfs_dfs.h> |
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29 | //#include <stp.h> |
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30 | //#include <lemon/max_flow.h> |
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31 | //#include <augmenting_flow.h> |
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32 | //#include <iter_map.h> |
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33 | |
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34 | using std::cout; |
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35 | using std::cin; |
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36 | using std::endl; |
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37 | |
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38 | namespace lemon { |
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39 | |
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40 | /// \addtogroup misc |
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41 | /// @{ |
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42 | |
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43 | /// \brief A partitioned vector with iterable classes. |
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44 | /// |
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45 | /// This class implements a container in which the data is stored in an |
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46 | /// stl vector, the range is partitioned into sets and each set is |
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47 | /// doubly linked in a list. |
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48 | /// That is, each class is iterable by lemon iterators, and any member of |
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49 | /// the vector can bo moved to an other class. |
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50 | template <typename T> |
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51 | class IterablePartition { |
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52 | protected: |
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53 | struct Node { |
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54 | T data; |
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55 | int prev; //invalid az -1 |
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56 | int next; |
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57 | }; |
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58 | std::vector<Node> nodes; |
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59 | struct Tip { |
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60 | int first; |
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61 | int last; |
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62 | }; |
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63 | std::vector<Tip> tips; |
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64 | public: |
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65 | /// The classes are indexed by integers from \c 0 to \c classNum()-1. |
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66 | int classNum() const { return tips.size(); } |
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67 | /// This lemon style iterator iterates through a class. |
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68 | class ClassIt; |
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69 | /// Constructor. The number of classes is to be given which is fixed |
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70 | /// over the life of the container. |
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71 | /// The partition classes are indexed from 0 to class_num-1. |
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72 | IterablePartition(int class_num) { |
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73 | for (int i=0; i<class_num; ++i) { |
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74 | Tip t; |
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75 | t.first=t.last=-1; |
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76 | tips.push_back(t); |
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77 | } |
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78 | } |
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79 | protected: |
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80 | void befuz(ClassIt it, int class_id) { |
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81 | if (tips[class_id].first==-1) { |
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82 | if (tips[class_id].last==-1) { |
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83 | nodes[it.i].prev=nodes[it.i].next=-1; |
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84 | tips[class_id].first=tips[class_id].last=it.i; |
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85 | } |
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86 | } else { |
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87 | nodes[it.i].prev=tips[class_id].last; |
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88 | nodes[it.i].next=-1; |
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89 | nodes[tips[class_id].last].next=it.i; |
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90 | tips[class_id].last=it.i; |
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91 | } |
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92 | } |
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93 | void kifuz(ClassIt it, int class_id) { |
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94 | if (tips[class_id].first==it.i) { |
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95 | if (tips[class_id].last==it.i) { |
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96 | tips[class_id].first=tips[class_id].last=-1; |
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97 | } else { |
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98 | tips[class_id].first=nodes[it.i].next; |
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99 | nodes[nodes[it.i].next].prev=-1; |
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100 | } |
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101 | } else { |
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102 | if (tips[class_id].last==it.i) { |
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103 | tips[class_id].last=nodes[it.i].prev; |
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104 | nodes[nodes[it.i].prev].next=-1; |
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105 | } else { |
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106 | nodes[nodes[it.i].next].prev=nodes[it.i].prev; |
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107 | nodes[nodes[it.i].prev].next=nodes[it.i].next; |
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108 | } |
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109 | } |
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110 | } |
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111 | public: |
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112 | /// A new element with data \c t is pushed into the vector and into class |
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113 | /// \c class_id. |
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114 | ClassIt push_back(const T& t, int class_id) { |
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115 | Node n; |
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116 | n.data=t; |
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117 | nodes.push_back(n); |
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118 | int i=nodes.size()-1; |
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119 | befuz(i, class_id); |
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120 | return i; |
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121 | } |
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122 | /// A member is moved to an other class. |
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123 | void set(ClassIt it, int old_class_id, int new_class_id) { |
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124 | kifuz(it.i, old_class_id); |
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125 | befuz(it.i, new_class_id); |
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126 | } |
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127 | /// Returns the data pointed by \c it. |
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128 | T& operator[](ClassIt it) { return nodes[it.i].data; } |
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129 | /// Returns the data pointed by \c it. |
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130 | const T& operator[](ClassIt it) const { return nodes[it.i].data; } |
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131 | ///. |
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132 | class ClassIt { |
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133 | friend class IterablePartition; |
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134 | protected: |
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135 | int i; |
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136 | public: |
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137 | /// Default constructor. |
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138 | ClassIt() { } |
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139 | /// This constructor constructs an iterator which points |
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140 | /// to the member of th container indexed by the integer _i. |
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141 | ClassIt(const int& _i) : i(_i) { } |
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142 | /// Invalid constructor. |
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143 | ClassIt(const Invalid&) : i(-1) { } |
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144 | }; |
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145 | /// First member of class \c class_id. |
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146 | ClassIt& first(ClassIt& it, int class_id) const { |
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147 | it.i=tips[class_id].first; |
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148 | return it; |
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149 | } |
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150 | /// Next member. |
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151 | ClassIt& next(ClassIt& it) const { |
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152 | it.i=nodes[it.i].next; |
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153 | return it; |
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154 | } |
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155 | /// True iff the iterator is valid. |
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156 | bool valid(const ClassIt& it) const { return it.i!=-1; } |
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157 | }; |
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158 | |
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159 | /*! \e |
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160 | */ |
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161 | template <typename _Value> |
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162 | class LPSolverBase { |
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163 | public: |
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164 | /// \e |
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165 | typedef _Value Value; |
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166 | /// \e |
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167 | typedef IterablePartition<int>::ClassIt RowIt; |
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168 | /// \e |
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169 | typedef IterablePartition<int>::ClassIt ColIt; |
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170 | public: |
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171 | /// \e |
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172 | IterablePartition<int> row_iter_map; |
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173 | /// \e |
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174 | IterablePartition<int> col_iter_map; |
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175 | /// \e |
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176 | const int VALID_CLASS; |
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177 | /// \e |
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178 | const int INVALID_CLASS; |
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179 | public: |
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180 | /// \e |
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181 | LPSolverBase() : row_iter_map(2), |
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182 | col_iter_map(2), |
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183 | VALID_CLASS(0), INVALID_CLASS(1) { } |
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184 | /// \e |
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185 | virtual ~LPSolverBase() { } |
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186 | |
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187 | //MATRIX INDEPEDENT MANIPULATING FUNCTIONS |
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188 | |
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189 | public: |
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190 | /// \e |
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191 | virtual void setMinimize() = 0; |
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192 | /// \e |
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193 | virtual void setMaximize() = 0; |
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194 | |
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195 | //LOW LEVEL INTERFACE, MATRIX MANIPULATING FUNCTIONS |
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196 | |
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197 | protected: |
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198 | /// \e |
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199 | virtual int _addRow() = 0; |
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200 | /// \e |
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201 | virtual int _addCol() = 0; |
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202 | /// \e |
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203 | virtual void _setRowCoeffs(int i, |
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204 | std::vector<std::pair<int, double> > coeffs) = 0; |
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205 | /// \e |
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206 | virtual void _setColCoeffs(int i, |
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207 | std::vector<std::pair<int, double> > coeffs) = 0; |
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208 | /// \e |
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209 | virtual void _eraseCol(int i) = 0; |
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210 | /// \e |
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211 | virtual void _eraseRow(int i) = 0; |
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212 | public: |
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213 | /// \e |
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214 | enum Bound { FREE, LOWER, UPPER, DOUBLE, FIXED }; |
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215 | protected: |
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216 | /// \e |
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217 | virtual void _setColBounds(int i, Bound bound, |
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218 | _Value lo, _Value up) = 0; |
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219 | /// \e |
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220 | virtual void _setRowBounds(int i, Bound bound, |
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221 | _Value lo, _Value up) = 0; |
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222 | /// \e |
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223 | virtual void _setObjCoef(int i, _Value obj_coef) = 0; |
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224 | /// \e |
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225 | virtual _Value _getObjCoef(int i) = 0; |
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226 | |
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227 | //LOW LEVEL, SOLUTION RETRIEVING FUNCTIONS |
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228 | |
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229 | protected: |
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230 | virtual _Value _getPrimal(int i) = 0; |
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231 | |
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232 | //HIGH LEVEL INTERFACE, MATRIX MANIPULATING FUNTIONS |
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233 | |
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234 | public: |
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235 | /// \e |
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236 | RowIt addRow() { |
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237 | int i=_addRow(); |
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238 | RowIt row_it; |
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239 | row_iter_map.first(row_it, INVALID_CLASS); |
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240 | if (row_iter_map.valid(row_it)) { //van hasznalhato hely |
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241 | row_iter_map.set(row_it, INVALID_CLASS, VALID_CLASS); |
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242 | row_iter_map[row_it]=i; |
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243 | } else { //a cucc vegere kell inzertalni mert nincs szabad hely |
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244 | row_it=row_iter_map.push_back(i, VALID_CLASS); |
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245 | } |
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246 | return row_it; |
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247 | } |
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248 | /// \e |
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249 | ColIt addCol() { |
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250 | int i=_addCol(); |
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251 | ColIt col_it; |
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252 | col_iter_map.first(col_it, INVALID_CLASS); |
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253 | if (col_iter_map.valid(col_it)) { //van hasznalhato hely |
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254 | col_iter_map.set(col_it, INVALID_CLASS, VALID_CLASS); |
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255 | col_iter_map[col_it]=i; |
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256 | } else { //a cucc vegere kell inzertalni mert nincs szabad hely |
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257 | col_it=col_iter_map.push_back(i, VALID_CLASS); |
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258 | } |
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259 | return col_it; |
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260 | } |
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261 | /// \e |
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262 | template <typename Begin, typename End> |
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263 | void setRowCoeffs(RowIt row_it, Begin begin, End end) { |
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264 | std::vector<std::pair<int, double> > coeffs; |
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265 | for ( ; begin!=end; ++begin) { |
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266 | coeffs.push_back(std:: |
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267 | make_pair(col_iter_map[begin->first], begin->second)); |
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268 | } |
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269 | _setRowCoeffs(row_iter_map[row_it], coeffs); |
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270 | } |
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271 | /// \e |
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272 | template <typename Begin, typename End> |
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273 | void setColCoeffs(ColIt col_it, Begin begin, End end) { |
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274 | std::vector<std::pair<int, double> > coeffs; |
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275 | for ( ; begin!=end; ++begin) { |
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276 | coeffs.push_back(std:: |
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277 | make_pair(row_iter_map[begin->first], begin->second)); |
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278 | } |
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279 | _setColCoeffs(col_iter_map[col_it], coeffs); |
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280 | } |
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281 | /// \e |
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282 | void eraseCol(const ColIt& col_it) { |
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283 | col_iter_map.set(col_it, VALID_CLASS, INVALID_CLASS); |
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284 | int cols[2]; |
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285 | cols[1]=col_iter_map[col_it]; |
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286 | _eraseCol(cols[1]); |
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287 | col_iter_map[col_it]=0; //glpk specifikus, de kell ez?? |
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288 | ColIt it; |
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289 | for (col_iter_map.first(it, VALID_CLASS); |
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290 | col_iter_map.valid(it); col_iter_map.next(it)) { |
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291 | if (col_iter_map[it]>cols[1]) --col_iter_map[it]; |
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292 | } |
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293 | } |
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294 | /// \e |
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295 | void eraseRow(const RowIt& row_it) { |
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296 | row_iter_map.set(row_it, VALID_CLASS, INVALID_CLASS); |
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297 | int rows[2]; |
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298 | rows[1]=row_iter_map[row_it]; |
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299 | _eraseRow(rows[1]); |
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300 | row_iter_map[row_it]=0; //glpk specifikus, de kell ez?? |
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301 | RowIt it; |
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302 | for (row_iter_map.first(it, VALID_CLASS); |
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303 | row_iter_map.valid(it); row_iter_map.next(it)) { |
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304 | if (row_iter_map[it]>rows[1]) --row_iter_map[it]; |
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305 | } |
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306 | } |
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307 | /// \e |
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308 | void setColBounds(const ColIt& col_it, Bound bound, |
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309 | _Value lo, _Value up) { |
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310 | _setColBounds(col_iter_map[col_it], bound, lo, up); |
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311 | } |
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312 | /// \e |
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313 | void setRowBounds(const RowIt& row_it, Bound bound, |
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314 | _Value lo, _Value up) { |
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315 | _setRowBounds(row_iter_map[row_it], bound, lo, up); |
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316 | } |
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317 | /// \e |
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318 | void setObjCoef(const ColIt& col_it, _Value obj_coef) { |
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319 | _setObjCoef(col_iter_map[col_it], obj_coef); |
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320 | } |
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321 | /// \e |
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322 | _Value getObjCoef(const ColIt& col_it) { |
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323 | return _getObjCoef(col_iter_map[col_it]); |
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324 | } |
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325 | |
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326 | //SOLVER FUNCTIONS |
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327 | |
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328 | /// \e |
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329 | virtual void solveSimplex() = 0; |
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330 | /// \e |
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331 | virtual void solvePrimalSimplex() = 0; |
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332 | /// \e |
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333 | virtual void solveDualSimplex() = 0; |
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334 | /// \e |
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335 | |
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336 | //HIGH LEVEL, SOLUTION RETRIEVING FUNCTIONS |
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337 | |
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338 | public: |
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339 | _Value getPrimal(const ColIt& col_it) { |
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340 | return _getPrimal(col_iter_map[col_it]); |
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341 | } |
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342 | /// \e |
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343 | virtual _Value getObjVal() = 0; |
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344 | |
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345 | //OTHER FUNCTIONS |
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346 | |
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347 | /// \e |
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348 | virtual int rowNum() const = 0; |
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349 | /// \e |
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350 | virtual int colNum() const = 0; |
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351 | /// \e |
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352 | virtual int warmUp() = 0; |
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353 | /// \e |
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354 | virtual void printWarmUpStatus(int i) = 0; |
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355 | /// \e |
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356 | virtual int getPrimalStatus() = 0; |
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357 | /// \e |
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358 | virtual void printPrimalStatus(int i) = 0; |
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359 | /// \e |
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360 | virtual int getDualStatus() = 0; |
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361 | /// \e |
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362 | virtual void printDualStatus(int i) = 0; |
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363 | /// Returns the status of the slack variable assigned to row \c row_it. |
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364 | virtual int getRowStat(const RowIt& row_it) = 0; |
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365 | /// \e |
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366 | virtual void printRowStatus(int i) = 0; |
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367 | /// Returns the status of the variable assigned to column \c col_it. |
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368 | virtual int getColStat(const ColIt& col_it) = 0; |
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369 | /// \e |
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370 | virtual void printColStatus(int i) = 0; |
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371 | }; |
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372 | |
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373 | |
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374 | /// \brief Wrappers for LP solvers |
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375 | /// |
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376 | /// This class implements a lemon wrapper for glpk. |
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377 | /// Later other LP-solvers will be wrapped into lemon. |
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378 | /// The aim of this class is to give a general surface to different |
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379 | /// solvers, i.e. it makes possible to write algorithms using LP's, |
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380 | /// in which the solver can be changed to an other one easily. |
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381 | class LPGLPK : public LPSolverBase<double> { |
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382 | public: |
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383 | typedef LPSolverBase<double> Parent; |
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384 | |
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385 | public: |
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386 | /// \e |
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387 | LPX* lp; |
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388 | |
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389 | public: |
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390 | /// \e |
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391 | LPGLPK() : Parent(), |
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392 | lp(lpx_create_prob()) { |
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393 | lpx_set_int_parm(lp, LPX_K_DUAL, 1); |
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394 | } |
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395 | /// \e |
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396 | ~LPGLPK() { |
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397 | lpx_delete_prob(lp); |
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398 | } |
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399 | |
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400 | //MATRIX INDEPEDENT MANIPULATING FUNCTIONS |
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401 | |
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402 | /// \e |
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403 | void setMinimize() { |
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404 | lpx_set_obj_dir(lp, LPX_MIN); |
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405 | } |
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406 | /// \e |
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407 | void setMaximize() { |
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408 | lpx_set_obj_dir(lp, LPX_MAX); |
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409 | } |
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410 | |
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411 | //LOW LEVEL INTERFACE, MATRIX MANIPULATING FUNCTIONS |
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412 | |
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413 | protected: |
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414 | /// \e |
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415 | int _addCol() { |
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416 | return lpx_add_cols(lp, 1); |
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417 | } |
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418 | /// \e |
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419 | int _addRow() { |
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420 | return lpx_add_rows(lp, 1); |
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421 | } |
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422 | /// \e |
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423 | virtual void _setRowCoeffs(int i, |
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424 | std::vector<std::pair<int, double> > coeffs) { |
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425 | int mem_length=1+colNum(); |
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426 | int* indices = new int[mem_length]; |
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427 | double* doubles = new double[mem_length]; |
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428 | int length=0; |
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429 | for (std::vector<std::pair<int, double> >:: |
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430 | const_iterator it=coeffs.begin(); it!=coeffs.end(); ++it) { |
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431 | ++length; |
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432 | indices[length]=it->first; |
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433 | doubles[length]=it->second; |
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434 | // std::cout << " " << indices[length] << " " |
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435 | // << doubles[length] << std::endl; |
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436 | } |
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437 | // std::cout << i << " " << length << std::endl; |
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438 | lpx_set_mat_row(lp, i, length, indices, doubles); |
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439 | delete [] indices; |
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440 | delete [] doubles; |
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441 | } |
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442 | /// \e |
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443 | virtual void _setColCoeffs(int i, |
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444 | std::vector<std::pair<int, double> > coeffs) { |
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445 | int mem_length=1+rowNum(); |
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446 | int* indices = new int[mem_length]; |
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447 | double* doubles = new double[mem_length]; |
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448 | int length=0; |
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449 | for (std::vector<std::pair<int, double> >:: |
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450 | const_iterator it=coeffs.begin(); it!=coeffs.end(); ++it) { |
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451 | ++length; |
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452 | indices[length]=it->first; |
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453 | doubles[length]=it->second; |
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454 | } |
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455 | lpx_set_mat_col(lp, i, length, indices, doubles); |
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456 | delete [] indices; |
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457 | delete [] doubles; |
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458 | } |
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459 | /// \e |
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460 | virtual void _eraseCol(int i) { |
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461 | int cols[2]; |
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462 | cols[1]=i; |
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463 | lpx_del_cols(lp, 1, cols); |
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464 | } |
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465 | virtual void _eraseRow(int i) { |
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466 | int rows[2]; |
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467 | rows[1]=i; |
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468 | lpx_del_rows(lp, 1, rows); |
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469 | } |
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470 | virtual void _setColBounds(int i, Bound bound, |
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471 | double lo, double up) { |
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472 | switch (bound) { |
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473 | case FREE: |
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474 | lpx_set_col_bnds(lp, i, LPX_FR, lo, up); |
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475 | break; |
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476 | case LOWER: |
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477 | lpx_set_col_bnds(lp, i, LPX_LO, lo, up); |
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478 | break; |
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479 | case UPPER: |
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480 | lpx_set_col_bnds(lp, i, LPX_UP, lo, up); |
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481 | break; |
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482 | case DOUBLE: |
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483 | lpx_set_col_bnds(lp, i, LPX_DB, lo, up); |
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484 | break; |
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485 | case FIXED: |
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486 | lpx_set_col_bnds(lp, i, LPX_FX, lo, up); |
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487 | break; |
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488 | } |
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489 | } |
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490 | virtual void _setRowBounds(int i, Bound bound, |
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491 | double lo, double up) { |
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492 | switch (bound) { |
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493 | case FREE: |
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494 | lpx_set_row_bnds(lp, i, LPX_FR, lo, up); |
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495 | break; |
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496 | case LOWER: |
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497 | lpx_set_row_bnds(lp, i, LPX_LO, lo, up); |
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498 | break; |
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499 | case UPPER: |
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500 | lpx_set_row_bnds(lp, i, LPX_UP, lo, up); |
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501 | break; |
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502 | case DOUBLE: |
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503 | lpx_set_row_bnds(lp, i, LPX_DB, lo, up); |
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504 | break; |
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505 | case FIXED: |
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506 | lpx_set_row_bnds(lp, i, LPX_FX, lo, up); |
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507 | break; |
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508 | } |
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509 | } |
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510 | protected: |
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511 | /// \e |
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512 | virtual double _getObjCoef(int i) { |
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513 | return lpx_get_obj_coef(lp, i); |
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514 | } |
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515 | /// \e |
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516 | virtual void _setObjCoef(int i, double obj_coef) { |
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517 | lpx_set_obj_coef(lp, i, obj_coef); |
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518 | } |
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519 | public: |
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520 | /// \e |
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521 | void solveSimplex() { lpx_simplex(lp); } |
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522 | /// \e |
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523 | void solvePrimalSimplex() { lpx_simplex(lp); } |
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524 | /// \e |
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525 | void solveDualSimplex() { lpx_simplex(lp); } |
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526 | /// \e |
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527 | protected: |
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528 | virtual double _getPrimal(int i) { |
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529 | return lpx_get_col_prim(lp, i); |
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530 | } |
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531 | public: |
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532 | /// \e |
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533 | double getObjVal() { return lpx_get_obj_val(lp); } |
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534 | /// \e |
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535 | int rowNum() const { return lpx_get_num_rows(lp); } |
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536 | /// \e |
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537 | int colNum() const { return lpx_get_num_cols(lp); } |
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538 | /// \e |
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539 | int warmUp() { return lpx_warm_up(lp); } |
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540 | /// \e |
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541 | void printWarmUpStatus(int i) { |
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542 | switch (i) { |
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543 | case LPX_E_OK: cout << "LPX_E_OK" << endl; break; |
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544 | case LPX_E_EMPTY: cout << "LPX_E_EMPTY" << endl; break; |
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545 | case LPX_E_BADB: cout << "LPX_E_BADB" << endl; break; |
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546 | case LPX_E_SING: cout << "LPX_E_SING" << endl; break; |
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547 | } |
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548 | } |
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549 | /// \e |
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550 | int getPrimalStatus() { return lpx_get_prim_stat(lp); } |
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551 | /// \e |
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552 | void printPrimalStatus(int i) { |
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553 | switch (i) { |
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554 | case LPX_P_UNDEF: cout << "LPX_P_UNDEF" << endl; break; |
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555 | case LPX_P_FEAS: cout << "LPX_P_FEAS" << endl; break; |
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556 | case LPX_P_INFEAS: cout << "LPX_P_INFEAS" << endl; break; |
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557 | case LPX_P_NOFEAS: cout << "LPX_P_NOFEAS" << endl; break; |
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558 | } |
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559 | } |
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560 | /// \e |
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561 | int getDualStatus() { return lpx_get_dual_stat(lp); } |
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562 | /// \e |
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563 | void printDualStatus(int i) { |
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564 | switch (i) { |
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565 | case LPX_D_UNDEF: cout << "LPX_D_UNDEF" << endl; break; |
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566 | case LPX_D_FEAS: cout << "LPX_D_FEAS" << endl; break; |
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567 | case LPX_D_INFEAS: cout << "LPX_D_INFEAS" << endl; break; |
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568 | case LPX_D_NOFEAS: cout << "LPX_D_NOFEAS" << endl; break; |
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569 | } |
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570 | } |
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571 | /// Returns the status of the slack variable assigned to row \c row_it. |
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572 | int getRowStat(const RowIt& row_it) { |
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573 | return lpx_get_row_stat(lp, row_iter_map[row_it]); |
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574 | } |
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575 | /// \e |
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576 | void printRowStatus(int i) { |
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577 | switch (i) { |
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578 | case LPX_BS: cout << "LPX_BS" << endl; break; |
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579 | case LPX_NL: cout << "LPX_NL" << endl; break; |
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580 | case LPX_NU: cout << "LPX_NU" << endl; break; |
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581 | case LPX_NF: cout << "LPX_NF" << endl; break; |
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582 | case LPX_NS: cout << "LPX_NS" << endl; break; |
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583 | } |
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584 | } |
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585 | /// Returns the status of the variable assigned to column \c col_it. |
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586 | int getColStat(const ColIt& col_it) { |
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587 | return lpx_get_col_stat(lp, col_iter_map[col_it]); |
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588 | } |
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589 | /// \e |
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590 | void printColStatus(int i) { |
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591 | switch (i) { |
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592 | case LPX_BS: cout << "LPX_BS" << endl; break; |
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593 | case LPX_NL: cout << "LPX_NL" << endl; break; |
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594 | case LPX_NU: cout << "LPX_NU" << endl; break; |
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595 | case LPX_NF: cout << "LPX_NF" << endl; break; |
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596 | case LPX_NS: cout << "LPX_NS" << endl; break; |
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597 | } |
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598 | } |
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599 | }; |
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600 | |
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601 | /// @} |
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602 | |
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603 | } //namespace lemon |
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604 | |
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605 | #endif //LEMON_LP_SOLVER_WRAPPER_H |
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