1 | // -*- c++ -*- |
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2 | #ifndef LEMON_LP_SOLVER_BASE_H |
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3 | #define LEMON_LP_SOLVER_BASE_H |
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4 | |
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5 | ///\ingroup misc |
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6 | ///\file |
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7 | |
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8 | // #include <stdio.h> |
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9 | #include <stdlib.h> |
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10 | #include <iostream> |
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11 | #include <map> |
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12 | #include <limits> |
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13 | // #include <stdio> |
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14 | //#include <stdlib> |
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15 | extern "C" { |
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16 | #include "glpk.h" |
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17 | } |
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18 | |
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19 | #include <iostream> |
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20 | #include <vector> |
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21 | #include <string> |
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22 | #include <list> |
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23 | #include <memory> |
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24 | #include <utility> |
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25 | |
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26 | #include <lemon/invalid.h> |
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27 | #include <expression.h> |
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28 | //#include <stp.h> |
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29 | //#include <lemon/max_flow.h> |
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30 | //#include <augmenting_flow.h> |
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31 | //#include <iter_map.h> |
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32 | |
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33 | using std::cout; |
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34 | using std::cin; |
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35 | using std::endl; |
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36 | |
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37 | namespace lemon { |
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38 | |
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39 | /// \addtogroup misc |
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40 | /// @{ |
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41 | |
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42 | /// \brief A partitioned vector with iterable classes. |
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43 | /// |
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44 | /// This class implements a container in which the data is stored in an |
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45 | /// stl vector, the range is partitioned into sets and each set is |
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46 | /// doubly linked in a list. |
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47 | /// That is, each class is iterable by lemon iterators, and any member of |
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48 | /// the vector can bo moved to an other class. |
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49 | template <typename T> |
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50 | class IterablePartition { |
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51 | protected: |
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52 | struct Node { |
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53 | T data; |
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54 | int prev; //invalid az -1 |
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55 | int next; |
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56 | }; |
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57 | std::vector<Node> nodes; |
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58 | struct Tip { |
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59 | int first; |
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60 | int last; |
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61 | }; |
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62 | std::vector<Tip> tips; |
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63 | public: |
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64 | /// The classes are indexed by integers from \c 0 to \c classNum()-1. |
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65 | int classNum() const { return tips.size(); } |
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66 | /// This lemon style iterator iterates through a class. |
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67 | class Class; |
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68 | /// Constructor. The number of classes is to be given which is fixed |
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69 | /// over the life of the container. |
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70 | /// The partition classes are indexed from 0 to class_num-1. |
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71 | IterablePartition(int class_num) { |
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72 | for (int i=0; i<class_num; ++i) { |
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73 | Tip t; |
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74 | t.first=t.last=-1; |
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75 | tips.push_back(t); |
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76 | } |
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77 | } |
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78 | protected: |
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79 | void befuz(Class it, int class_id) { |
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80 | if (tips[class_id].first==-1) { |
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81 | if (tips[class_id].last==-1) { |
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82 | nodes[it.i].prev=nodes[it.i].next=-1; |
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83 | tips[class_id].first=tips[class_id].last=it.i; |
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84 | } |
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85 | } else { |
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86 | nodes[it.i].prev=tips[class_id].last; |
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87 | nodes[it.i].next=-1; |
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88 | nodes[tips[class_id].last].next=it.i; |
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89 | tips[class_id].last=it.i; |
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90 | } |
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91 | } |
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92 | void kifuz(Class it, int class_id) { |
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93 | if (tips[class_id].first==it.i) { |
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94 | if (tips[class_id].last==it.i) { |
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95 | tips[class_id].first=tips[class_id].last=-1; |
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96 | } else { |
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97 | tips[class_id].first=nodes[it.i].next; |
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98 | nodes[nodes[it.i].next].prev=-1; |
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99 | } |
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100 | } else { |
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101 | if (tips[class_id].last==it.i) { |
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102 | tips[class_id].last=nodes[it.i].prev; |
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103 | nodes[nodes[it.i].prev].next=-1; |
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104 | } else { |
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105 | nodes[nodes[it.i].next].prev=nodes[it.i].prev; |
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106 | nodes[nodes[it.i].prev].next=nodes[it.i].next; |
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107 | } |
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108 | } |
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109 | } |
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110 | public: |
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111 | /// A new element with data \c t is pushed into the vector and into class |
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112 | /// \c class_id. |
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113 | Class push_back(const T& t, int class_id) { |
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114 | Node n; |
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115 | n.data=t; |
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116 | nodes.push_back(n); |
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117 | int i=nodes.size()-1; |
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118 | befuz(i, class_id); |
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119 | return i; |
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120 | } |
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121 | /// A member is moved to an other class. |
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122 | void set(Class it, int old_class_id, int new_class_id) { |
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123 | kifuz(it.i, old_class_id); |
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124 | befuz(it.i, new_class_id); |
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125 | } |
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126 | /// Returns the data pointed by \c it. |
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127 | T& operator[](Class it) { return nodes[it.i].data; } |
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128 | /// Returns the data pointed by \c it. |
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129 | const T& operator[](Class it) const { return nodes[it.i].data; } |
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130 | ///. |
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131 | class Class { |
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132 | friend class IterablePartition; |
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133 | protected: |
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134 | int i; |
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135 | public: |
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136 | /// Default constructor. |
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137 | Class() { } |
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138 | /// This constructor constructs an iterator which points |
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139 | /// to the member of th container indexed by the integer _i. |
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140 | Class(const int& _i) : i(_i) { } |
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141 | /// Invalid constructor. |
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142 | Class(const Invalid&) : i(-1) { } |
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143 | friend bool operator<(const Class& x, const Class& y); |
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144 | friend std::ostream& operator<<(std::ostream& os, |
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145 | const Class& it); |
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146 | bool operator==(const Class& node) const {return i == node.i;} |
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147 | bool operator!=(const Class& node) const {return i != node.i;} |
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148 | }; |
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149 | friend bool operator<(const Class& x, const Class& y) { |
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150 | return (x.i < y.i); |
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151 | } |
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152 | friend std::ostream& operator<<(std::ostream& os, |
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153 | const Class& it) { |
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154 | os << it.i; |
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155 | return os; |
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156 | } |
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157 | /// First member of class \c class_id. |
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158 | Class& first(Class& it, int class_id) const { |
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159 | it.i=tips[class_id].first; |
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160 | return it; |
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161 | } |
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162 | /// Next member. |
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163 | Class& next(Class& it) const { |
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164 | it.i=nodes[it.i].next; |
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165 | return it; |
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166 | } |
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167 | /// True iff the iterator is valid. |
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168 | bool valid(const Class& it) const { return it.i!=-1; } |
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169 | |
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170 | class ClassIt : public Class { |
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171 | const IterablePartition* iterable_partition; |
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172 | public: |
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173 | ClassIt() { } |
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174 | ClassIt(Invalid i) : Class(i) { } |
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175 | ClassIt(const IterablePartition& _iterable_partition, |
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176 | const int& i) : iterable_partition(&_iterable_partition) { |
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177 | _iterable_partition.first(*this, i); |
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178 | } |
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179 | ClassIt(const IterablePartition& _iterable_partition, |
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180 | const Class& _class) : |
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181 | Class(_class), iterable_partition(&_iterable_partition) { } |
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182 | ClassIt& operator++() { |
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183 | iterable_partition->next(*this); |
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184 | return *this; |
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185 | } |
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186 | }; |
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187 | |
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188 | }; |
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189 | |
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190 | |
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191 | /*! \e |
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192 | \todo kellenene uj iterable structure bele, mert ez nem az igazi |
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193 | \todo A[x,y]-t cserel. Jobboldal, baloldal csere. |
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194 | \todo LEKERDEZESEK!!! |
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195 | \todo DOKSI!!!! Doxygen group!!! |
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196 | The aim of this class is to give a general surface to different |
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197 | solvers, i.e. it makes possible to write algorithms using LP's, |
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198 | in which the solver can be changed to an other one easily. |
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199 | \nosubgrouping |
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200 | */ |
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201 | template <typename _Value> |
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202 | class LPSolverBase { |
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203 | |
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204 | /*! @name Uncategorized functions and types (public members) |
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205 | */ |
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206 | //@{ |
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207 | public: |
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208 | |
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209 | //UNCATEGORIZED |
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210 | |
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211 | /// \e |
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212 | typedef IterablePartition<int> Rows; |
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213 | /// \e |
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214 | typedef IterablePartition<int> Cols; |
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215 | /// \e |
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216 | typedef _Value Value; |
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217 | /// \e |
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218 | typedef Rows::Class Row; |
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219 | /// \e |
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220 | typedef Cols::Class Col; |
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221 | public: |
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222 | /// \e |
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223 | IterablePartition<int> row_iter_map; |
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224 | /// \e |
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225 | IterablePartition<int> col_iter_map; |
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226 | /// \e |
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227 | std::vector<Row> int_row_map; |
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228 | /// \e |
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229 | std::vector<Col> int_col_map; |
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230 | /// \e |
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231 | const int VALID_CLASS; |
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232 | /// \e |
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233 | const int INVALID_CLASS; |
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234 | /// \e |
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235 | static const _Value INF; |
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236 | public: |
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237 | /// \e |
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238 | LPSolverBase() : row_iter_map(2), |
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239 | col_iter_map(2), |
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240 | VALID_CLASS(0), INVALID_CLASS(1) { } |
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241 | /// \e |
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242 | virtual ~LPSolverBase() { } |
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243 | //@} |
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244 | |
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245 | /*! @name Medium level interface (public members) |
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246 | These functions appear in the low level and also in the high level |
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247 | interfaces thus these each of these functions have to be implemented |
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248 | only once in the different interfaces. |
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249 | This means that these functions have to be reimplemented for all of the |
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250 | different lp solvers. These are basic functions, and have the same |
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251 | parameter lists in the low and high level interfaces. |
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252 | */ |
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253 | //@{ |
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254 | public: |
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255 | |
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256 | //UNCATEGORIZED FUNCTIONS |
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257 | |
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258 | /// \e |
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259 | virtual void setMinimize() = 0; |
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260 | /// \e |
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261 | virtual void setMaximize() = 0; |
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262 | |
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263 | //SOLVER FUNCTIONS |
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264 | |
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265 | /// \e |
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266 | virtual void solveSimplex() = 0; |
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267 | /// \e |
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268 | virtual void solvePrimalSimplex() = 0; |
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269 | /// \e |
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270 | virtual void solveDualSimplex() = 0; |
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271 | |
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272 | //SOLUTION RETRIEVING |
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273 | |
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274 | /// \e |
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275 | virtual _Value getObjVal() = 0; |
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276 | |
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277 | //OTHER FUNCTIONS |
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278 | |
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279 | /// \e |
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280 | virtual int rowNum() const = 0; |
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281 | /// \e |
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282 | virtual int colNum() const = 0; |
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283 | /// \e |
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284 | virtual int warmUp() = 0; |
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285 | /// \e |
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286 | virtual void printWarmUpStatus(int i) = 0; |
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287 | /// \e |
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288 | virtual int getPrimalStatus() = 0; |
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289 | /// \e |
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290 | virtual void printPrimalStatus(int i) = 0; |
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291 | /// \e |
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292 | virtual int getDualStatus() = 0; |
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293 | /// \e |
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294 | virtual void printDualStatus(int i) = 0; |
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295 | /// Returns the status of the slack variable assigned to row \c row. |
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296 | virtual int getRowStat(const Row& row) = 0; |
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297 | /// \e |
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298 | virtual void printRowStatus(int i) = 0; |
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299 | /// Returns the status of the variable assigned to column \c col. |
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300 | virtual int getColStat(const Col& col) = 0; |
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301 | /// \e |
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302 | virtual void printColStatus(int i) = 0; |
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303 | |
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304 | //@} |
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305 | |
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306 | /*! @name Low level interface (protected members) |
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307 | Problem manipulating functions in the low level interface |
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308 | */ |
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309 | //@{ |
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310 | protected: |
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311 | |
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312 | //MATRIX MANIPULATING FUNCTIONS |
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313 | |
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314 | /// \e |
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315 | virtual int _addCol() = 0; |
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316 | /// \e |
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317 | virtual int _addRow() = 0; |
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318 | /// \e |
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319 | virtual void _eraseCol(int i) = 0; |
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320 | /// \e |
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321 | virtual void _eraseRow(int i) = 0; |
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322 | /// \e |
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323 | virtual void _setRowCoeffs(int i, |
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324 | const std::vector<std::pair<int, _Value> >& coeffs) = 0; |
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325 | /// \e |
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326 | /// This routine modifies \c coeffs only by the \c push_back method. |
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327 | virtual void _getRowCoeffs(int i, |
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328 | std::vector<std::pair<int, _Value> >& coeffs) = 0; |
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329 | /// \e |
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330 | virtual void _setColCoeffs(int i, |
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331 | const std::vector<std::pair<int, _Value> >& coeffs) = 0; |
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332 | /// \e |
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333 | /// This routine modifies \c coeffs only by the \c push_back method. |
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334 | virtual void _getColCoeffs(int i, |
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335 | std::vector<std::pair<int, _Value> >& coeffs) = 0; |
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336 | /// \e |
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337 | virtual void _setCoeff(int col, int row, _Value value) = 0; |
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338 | /// \e |
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339 | virtual _Value _getCoeff(int col, int row) = 0; |
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340 | // public: |
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341 | // /// \e |
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342 | // enum Bound { FREE, LOWER, UPPER, DOUBLE, FIXED }; |
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343 | protected: |
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344 | /// \e |
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345 | /// The lower bound of a variable (column) have to be given by an |
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346 | /// extended number of type _Value, i.e. a finite number of type |
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347 | /// _Value or -INF. |
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348 | virtual void _setColLowerBound(int i, _Value value) = 0; |
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349 | /// \e |
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350 | /// The lower bound of a variable (column) is an |
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351 | /// extended number of type _Value, i.e. a finite number of type |
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352 | /// _Value or -INF. |
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353 | virtual _Value _getColLowerBound(int i) = 0; |
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354 | /// \e |
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355 | /// The upper bound of a variable (column) have to be given by an |
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356 | /// extended number of type _Value, i.e. a finite number of type |
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357 | /// _Value or INF. |
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358 | virtual void _setColUpperBound(int i, _Value value) = 0; |
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359 | /// \e |
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360 | /// The upper bound of a variable (column) is an |
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361 | /// extended number of type _Value, i.e. a finite number of type |
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362 | /// _Value or INF. |
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363 | virtual _Value _getColUpperBound(int i) = 0; |
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364 | /// \e |
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365 | /// The lower bound of a linear expression (row) have to be given by an |
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366 | /// extended number of type _Value, i.e. a finite number of type |
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367 | /// _Value or -INF. |
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368 | virtual void _setRowLowerBound(int i, _Value value) = 0; |
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369 | /// \e |
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370 | /// The lower bound of a linear expression (row) is an |
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371 | /// extended number of type _Value, i.e. a finite number of type |
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372 | /// _Value or -INF. |
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373 | virtual _Value _getRowLowerBound(int i) = 0; |
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374 | /// \e |
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375 | /// The upper bound of a linear expression (row) have to be given by an |
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376 | /// extended number of type _Value, i.e. a finite number of type |
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377 | /// _Value or INF. |
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378 | virtual void _setRowUpperBound(int i, _Value value) = 0; |
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379 | /// \e |
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380 | /// The upper bound of a linear expression (row) is an |
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381 | /// extended number of type _Value, i.e. a finite number of type |
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382 | /// _Value or INF. |
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383 | virtual _Value _getRowUpperBound(int i) = 0; |
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384 | /// \e |
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385 | virtual void _setObjCoeff(int i, _Value obj_coef) = 0; |
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386 | /// \e |
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387 | virtual _Value _getObjCoeff(int i) = 0; |
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388 | |
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389 | //SOLUTION RETRIEVING |
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390 | |
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391 | /// \e |
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392 | virtual _Value _getPrimal(int i) = 0; |
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393 | //@} |
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394 | |
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395 | /*! @name High level interface (public members) |
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396 | Problem manipulating functions in the high level interface |
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397 | */ |
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398 | //@{ |
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399 | public: |
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400 | |
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401 | //MATRIX MANIPULATING FUNCTIONS |
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402 | |
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403 | /// \e |
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404 | Col addCol() { |
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405 | int i=_addCol(); |
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406 | Col col; |
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407 | col_iter_map.first(col, INVALID_CLASS); |
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408 | if (col_iter_map.valid(col)) { //van hasznalhato hely |
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409 | col_iter_map.set(col, INVALID_CLASS, VALID_CLASS); |
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410 | col_iter_map[col]=i; |
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411 | } else { //a cucc vegere kell inzertalni mert nincs szabad hely |
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412 | col=col_iter_map.push_back(i, VALID_CLASS); |
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413 | } |
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414 | int_col_map.push_back(col); |
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415 | return col; |
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416 | } |
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417 | /// \e |
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418 | Row addRow() { |
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419 | int i=_addRow(); |
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420 | Row row; |
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421 | row_iter_map.first(row, INVALID_CLASS); |
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422 | if (row_iter_map.valid(row)) { //van hasznalhato hely |
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423 | row_iter_map.set(row, INVALID_CLASS, VALID_CLASS); |
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424 | row_iter_map[row]=i; |
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425 | } else { //a cucc vegere kell inzertalni mert nincs szabad hely |
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426 | row=row_iter_map.push_back(i, VALID_CLASS); |
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427 | } |
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428 | int_row_map.push_back(row); |
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429 | return row; |
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430 | } |
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431 | /// \e |
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432 | void eraseCol(const Col& col) { |
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433 | col_iter_map.set(col, VALID_CLASS, INVALID_CLASS); |
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434 | int cols[2]; |
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435 | cols[1]=col_iter_map[col]; |
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436 | _eraseCol(cols[1]); |
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437 | col_iter_map[col]=0; //glpk specifikus, de kell ez?? |
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438 | Col it; |
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439 | for (col_iter_map.first(it, VALID_CLASS); |
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440 | col_iter_map.valid(it); col_iter_map.next(it)) { |
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441 | if (col_iter_map[it]>cols[1]) --col_iter_map[it]; |
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442 | } |
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443 | int_col_map.erase(int_col_map.begin()+cols[1]); |
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444 | } |
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445 | /// \e |
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446 | void eraseRow(const Row& row) { |
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447 | row_iter_map.set(row, VALID_CLASS, INVALID_CLASS); |
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448 | int rows[2]; |
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449 | rows[1]=row_iter_map[row]; |
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450 | _eraseRow(rows[1]); |
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451 | row_iter_map[row]=0; //glpk specifikus, de kell ez?? |
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452 | Row it; |
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453 | for (row_iter_map.first(it, VALID_CLASS); |
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454 | row_iter_map.valid(it); row_iter_map.next(it)) { |
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455 | if (row_iter_map[it]>rows[1]) --row_iter_map[it]; |
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456 | } |
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457 | int_row_map.erase(int_row_map.begin()+rows[1]); |
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458 | } |
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459 | /// \e |
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460 | void setCoeff(Col col, Row row, _Value value) { |
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461 | _setCoeff(col_iter_map[col], row_iter_map[row], value); |
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462 | } |
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463 | /// \e |
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464 | _Value getCoeff(Col col, Row row) { |
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465 | return _getCoeff(col_iter_map[col], row_iter_map[row], value); |
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466 | } |
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467 | /// \e |
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468 | void setColLowerBound(Col col, _Value lo) { |
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469 | _setColLowerBound(col_iter_map[col], lo); |
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470 | } |
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471 | /// \e |
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472 | _Value getColLowerBound(Col col) { |
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473 | return _getColLowerBound(col_iter_map[col]); |
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474 | } |
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475 | /// \e |
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476 | void setColUpperBound(Col col, _Value up) { |
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477 | _setColUpperBound(col_iter_map[col], up); |
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478 | } |
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479 | /// \e |
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480 | _Value getColUpperBound(Col col) { |
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481 | return _getColUpperBound(col_iter_map[col]); |
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482 | } |
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483 | /// \e |
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484 | void setRowLowerBound(Row row, _Value lo) { |
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485 | _setRowLowerBound(row_iter_map[row], lo); |
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486 | } |
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487 | /// \e |
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488 | _Value getRowLowerBound(Row row) { |
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489 | return _getRowLowerBound(row_iter_map[row]); |
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490 | } |
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491 | /// \e |
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492 | void setRowUpperBound(Row row, _Value up) { |
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493 | _setRowUpperBound(row_iter_map[row], up); |
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494 | } |
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495 | /// \e |
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496 | _Value getRowUpperBound(Row row) { |
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497 | return _getRowUpperBound(row_iter_map[row]); |
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498 | } |
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499 | /// \e |
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500 | void setObjCoeff(const Col& col, _Value obj_coef) { |
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501 | _setObjCoeff(col_iter_map[col], obj_coef); |
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502 | } |
---|
503 | /// \e |
---|
504 | _Value getObjCoeff(const Col& col) { |
---|
505 | return _getObjCoeff(col_iter_map[col]); |
---|
506 | } |
---|
507 | |
---|
508 | //SOLUTION RETRIEVING FUNCTIONS |
---|
509 | |
---|
510 | /// \e |
---|
511 | _Value getPrimal(const Col& col) { |
---|
512 | return _getPrimal(col_iter_map[col]); |
---|
513 | } |
---|
514 | |
---|
515 | //@} |
---|
516 | |
---|
517 | /*! @name User friend interface |
---|
518 | Problem manipulating functions in the user friend interface |
---|
519 | */ |
---|
520 | //@{ |
---|
521 | |
---|
522 | //EXPRESSION TYPES |
---|
523 | |
---|
524 | /// \e |
---|
525 | typedef Expr<Col, _Value> Expression; |
---|
526 | /// \e |
---|
527 | typedef Expr<Row, _Value> DualExpression; |
---|
528 | /// \e |
---|
529 | typedef Constr<Col, _Value> Constraint; |
---|
530 | |
---|
531 | //MATRIX MANIPULATING FUNCTIONS |
---|
532 | |
---|
533 | /// \e |
---|
534 | void setRowCoeffs(Row row, const Expression& expr) { |
---|
535 | std::vector<std::pair<int, _Value> > row_coeffs; |
---|
536 | for(typename Expression::Data::const_iterator i=expr.data.begin(); |
---|
537 | i!=expr.data.end(); ++i) { |
---|
538 | row_coeffs.push_back(std::make_pair |
---|
539 | (col_iter_map[(*i).first], (*i).second)); |
---|
540 | } |
---|
541 | _setRowCoeffs(row_iter_map[row], row_coeffs); |
---|
542 | } |
---|
543 | /// \e |
---|
544 | void setRow(Row row, const Constraint& constr) { |
---|
545 | setRowCoeffs(row, constr.expr); |
---|
546 | setRowLowerBound(row, constr.lo); |
---|
547 | setRowUpperBound(row, constr.up); |
---|
548 | } |
---|
549 | /// \e |
---|
550 | Row addRow(const Constraint& constr) { |
---|
551 | Row row=addRow(); |
---|
552 | setRowCoeffs(row, constr.expr); |
---|
553 | setRowLowerBound(row, constr.lo); |
---|
554 | setRowUpperBound(row, constr.up); |
---|
555 | return row; |
---|
556 | } |
---|
557 | /// \e |
---|
558 | /// This routine modifies \c expr by only adding to it. |
---|
559 | void getRowCoeffs(Row row, Expression& expr) { |
---|
560 | std::vector<std::pair<int, _Value> > row_coeffs; |
---|
561 | _getRowCoeffs(row_iter_map[row], row_coeffs); |
---|
562 | for(typename std::vector<std::pair<int, _Value> >::const_iterator |
---|
563 | i=row_coeffs.begin(); i!=row_coeffs.end(); ++i) { |
---|
564 | expr+= (*i).second*int_col_map[(*i).first]; |
---|
565 | } |
---|
566 | } |
---|
567 | /// \e |
---|
568 | void setColCoeffs(Col col, const DualExpression& expr) { |
---|
569 | std::vector<std::pair<int, _Value> > col_coeffs; |
---|
570 | for(typename DualExpression::Data::const_iterator i=expr.data.begin(); |
---|
571 | i!=expr.data.end(); ++i) { |
---|
572 | col_coeffs.push_back(std::make_pair |
---|
573 | (row_iter_map[(*i).first], (*i).second)); |
---|
574 | } |
---|
575 | _setColCoeffs(col_iter_map[col], col_coeffs); |
---|
576 | } |
---|
577 | /// \e |
---|
578 | /// This routine modifies \c expr by only adding to it. |
---|
579 | void getColCoeffs(Col col, DualExpression& expr) { |
---|
580 | std::vector<std::pair<int, _Value> > col_coeffs; |
---|
581 | _getColCoeffs(col_iter_map[col], col_coeffs); |
---|
582 | for(typename std::vector<std::pair<int, _Value> >::const_iterator |
---|
583 | i=col_coeffs.begin(); i!=col_coeffs.end(); ++i) { |
---|
584 | expr+= (*i).second*int_row_map[(*i).first]; |
---|
585 | } |
---|
586 | } |
---|
587 | /// \e |
---|
588 | void setObjCoeffs(const Expression& expr) { |
---|
589 | // writing zero everywhere |
---|
590 | for(Cols::ClassIt it(col_iter_map, VALID_CLASS); it!=INVALID; ++it) |
---|
591 | setObjCoeff(it, 0.0); |
---|
592 | // writing the data needed |
---|
593 | for(typename Expression::Data::const_iterator i=expr.data.begin(); |
---|
594 | i!=expr.data.end(); ++i) { |
---|
595 | setObjCoeff((*i).first, (*i).second); |
---|
596 | } |
---|
597 | } |
---|
598 | /// \e |
---|
599 | /// This routine modifies \c expr by only adding to it. |
---|
600 | void getObjCoeffs(Expression& expr) { |
---|
601 | for(Cols::ClassIt it(col_iter_map, VALID_CLASS); it!=INVALID; ++it) |
---|
602 | expr+=getObjCoeff(it)*it; |
---|
603 | } |
---|
604 | //@} |
---|
605 | |
---|
606 | |
---|
607 | /*! @name MIP functions and types (public members) |
---|
608 | */ |
---|
609 | //@{ |
---|
610 | public: |
---|
611 | /// \e |
---|
612 | virtual void solveBandB() = 0; |
---|
613 | /// \e |
---|
614 | virtual void setLP() = 0; |
---|
615 | /// \e |
---|
616 | virtual void setMIP() = 0; |
---|
617 | protected: |
---|
618 | /// \e |
---|
619 | virtual void _setColCont(int i) = 0; |
---|
620 | /// \e |
---|
621 | virtual void _setColInt(int i) = 0; |
---|
622 | /// \e |
---|
623 | virtual _Value _getMIPPrimal(int i) = 0; |
---|
624 | public: |
---|
625 | /// \e |
---|
626 | void setColCont(Col col) { |
---|
627 | _setColCont(col_iter_map[col]); |
---|
628 | } |
---|
629 | /// \e |
---|
630 | void setColInt(Col col) { |
---|
631 | _setColInt(col_iter_map[col]); |
---|
632 | } |
---|
633 | /// \e |
---|
634 | _Value getMIPPrimal(Col col) { |
---|
635 | return _getMIPPrimal(col_iter_map[col]); |
---|
636 | } |
---|
637 | //@} |
---|
638 | }; |
---|
639 | |
---|
640 | template <typename _Value> |
---|
641 | const _Value LPSolverBase<_Value>::INF=std::numeric_limits<_Value>::infinity(); |
---|
642 | |
---|
643 | |
---|
644 | /// \brief Wrapper for GLPK solver |
---|
645 | /// |
---|
646 | /// This class implements a lemon wrapper for GLPK. |
---|
647 | class LPGLPK : public LPSolverBase<double> { |
---|
648 | public: |
---|
649 | typedef LPSolverBase<double> Parent; |
---|
650 | |
---|
651 | public: |
---|
652 | /// \e |
---|
653 | LPX* lp; |
---|
654 | |
---|
655 | public: |
---|
656 | /// \e |
---|
657 | LPGLPK() : Parent(), |
---|
658 | lp(lpx_create_prob()) { |
---|
659 | int_row_map.push_back(Row()); |
---|
660 | int_col_map.push_back(Col()); |
---|
661 | lpx_set_int_parm(lp, LPX_K_DUAL, 1); |
---|
662 | } |
---|
663 | /// \e |
---|
664 | ~LPGLPK() { |
---|
665 | lpx_delete_prob(lp); |
---|
666 | } |
---|
667 | |
---|
668 | //MATRIX INDEPEDENT MANIPULATING FUNCTIONS |
---|
669 | |
---|
670 | /// \e |
---|
671 | void setMinimize() { |
---|
672 | lpx_set_obj_dir(lp, LPX_MIN); |
---|
673 | } |
---|
674 | /// \e |
---|
675 | void setMaximize() { |
---|
676 | lpx_set_obj_dir(lp, LPX_MAX); |
---|
677 | } |
---|
678 | |
---|
679 | //LOW LEVEL INTERFACE, MATRIX MANIPULATING FUNCTIONS |
---|
680 | |
---|
681 | protected: |
---|
682 | /// \e |
---|
683 | int _addCol() { |
---|
684 | int i=lpx_add_cols(lp, 1); |
---|
685 | _setColLowerBound(i, -INF); |
---|
686 | _setColUpperBound(i, INF); |
---|
687 | return i; |
---|
688 | } |
---|
689 | /// \e |
---|
690 | int _addRow() { |
---|
691 | int i=lpx_add_rows(lp, 1); |
---|
692 | return i; |
---|
693 | } |
---|
694 | /// \e |
---|
695 | virtual void _setRowCoeffs(int i, |
---|
696 | const std::vector<std::pair<int, double> >& coeffs) { |
---|
697 | int mem_length=1+colNum(); |
---|
698 | int* indices = new int[mem_length]; |
---|
699 | double* doubles = new double[mem_length]; |
---|
700 | int length=0; |
---|
701 | for (std::vector<std::pair<int, double> >:: |
---|
702 | const_iterator it=coeffs.begin(); it!=coeffs.end(); ++it) { |
---|
703 | ++length; |
---|
704 | indices[length]=it->first; |
---|
705 | doubles[length]=it->second; |
---|
706 | } |
---|
707 | lpx_set_mat_row(lp, i, length, indices, doubles); |
---|
708 | delete [] indices; |
---|
709 | delete [] doubles; |
---|
710 | } |
---|
711 | /// \e |
---|
712 | virtual void _getRowCoeffs(int i, |
---|
713 | std::vector<std::pair<int, double> >& coeffs) { |
---|
714 | int mem_length=1+colNum(); |
---|
715 | int* indices = new int[mem_length]; |
---|
716 | double* doubles = new double[mem_length]; |
---|
717 | int length=lpx_get_mat_row(lp, i, indices, doubles); |
---|
718 | for (int i=1; i<=length; ++i) { |
---|
719 | coeffs.push_back(std::make_pair(indices[i], doubles[i])); |
---|
720 | } |
---|
721 | delete [] indices; |
---|
722 | delete [] doubles; |
---|
723 | } |
---|
724 | /// \e |
---|
725 | virtual void _setColCoeffs(int i, |
---|
726 | const std::vector<std::pair<int, double> >& coeffs) { |
---|
727 | int mem_length=1+rowNum(); |
---|
728 | int* indices = new int[mem_length]; |
---|
729 | double* doubles = new double[mem_length]; |
---|
730 | int length=0; |
---|
731 | for (std::vector<std::pair<int, double> >:: |
---|
732 | const_iterator it=coeffs.begin(); it!=coeffs.end(); ++it) { |
---|
733 | ++length; |
---|
734 | indices[length]=it->first; |
---|
735 | doubles[length]=it->second; |
---|
736 | } |
---|
737 | lpx_set_mat_col(lp, i, length, indices, doubles); |
---|
738 | delete [] indices; |
---|
739 | delete [] doubles; |
---|
740 | } |
---|
741 | /// \e |
---|
742 | virtual void _getColCoeffs(int i, |
---|
743 | std::vector<std::pair<int, double> >& coeffs) { |
---|
744 | int mem_length=1+rowNum(); |
---|
745 | int* indices = new int[mem_length]; |
---|
746 | double* doubles = new double[mem_length]; |
---|
747 | int length=lpx_get_mat_col(lp, i, indices, doubles); |
---|
748 | for (int i=1; i<=length; ++i) { |
---|
749 | coeffs.push_back(std::make_pair(indices[i], doubles[i])); |
---|
750 | } |
---|
751 | delete [] indices; |
---|
752 | delete [] doubles; |
---|
753 | } |
---|
754 | /// \e |
---|
755 | virtual void _eraseCol(int i) { |
---|
756 | int cols[2]; |
---|
757 | cols[1]=i; |
---|
758 | lpx_del_cols(lp, 1, cols); |
---|
759 | } |
---|
760 | virtual void _eraseRow(int i) { |
---|
761 | int rows[2]; |
---|
762 | rows[1]=i; |
---|
763 | lpx_del_rows(lp, 1, rows); |
---|
764 | } |
---|
765 | void _setCoeff(int col, int row, double value) { |
---|
766 | /// FIXME not yet implemented |
---|
767 | } |
---|
768 | double _getCoeff(int col, int row) { |
---|
769 | /// FIXME not yet implemented |
---|
770 | return 0.0; |
---|
771 | } |
---|
772 | virtual void _setColLowerBound(int i, double lo) { |
---|
773 | if (lo==INF) { |
---|
774 | //FIXME error |
---|
775 | } |
---|
776 | int b=lpx_get_col_type(lp, i); |
---|
777 | double up=lpx_get_col_ub(lp, i); |
---|
778 | if (lo==-INF) { |
---|
779 | switch (b) { |
---|
780 | case LPX_FR: |
---|
781 | case LPX_LO: |
---|
782 | lpx_set_col_bnds(lp, i, LPX_FR, lo, up); |
---|
783 | break; |
---|
784 | case LPX_UP: |
---|
785 | break; |
---|
786 | case LPX_DB: |
---|
787 | case LPX_FX: |
---|
788 | lpx_set_col_bnds(lp, i, LPX_UP, lo, up); |
---|
789 | break; |
---|
790 | default: ; |
---|
791 | //FIXME error |
---|
792 | } |
---|
793 | } else { |
---|
794 | switch (b) { |
---|
795 | case LPX_FR: |
---|
796 | case LPX_LO: |
---|
797 | lpx_set_col_bnds(lp, i, LPX_LO, lo, up); |
---|
798 | break; |
---|
799 | case LPX_UP: |
---|
800 | case LPX_DB: |
---|
801 | case LPX_FX: |
---|
802 | if (lo==up) |
---|
803 | lpx_set_col_bnds(lp, i, LPX_FX, lo, up); |
---|
804 | else |
---|
805 | lpx_set_col_bnds(lp, i, LPX_DB, lo, up); |
---|
806 | break; |
---|
807 | default: ; |
---|
808 | //FIXME error |
---|
809 | } |
---|
810 | } |
---|
811 | } |
---|
812 | virtual double _getColLowerBound(int i) { |
---|
813 | int b=lpx_get_col_type(lp, i); |
---|
814 | switch (b) { |
---|
815 | case LPX_FR: |
---|
816 | return -INF; |
---|
817 | case LPX_LO: |
---|
818 | return lpx_get_col_lb(lp, i); |
---|
819 | case LPX_UP: |
---|
820 | return -INF; |
---|
821 | case LPX_DB: |
---|
822 | case LPX_FX: |
---|
823 | return lpx_get_col_lb(lp, i); |
---|
824 | default: ; |
---|
825 | //FIXME error |
---|
826 | return 0.0; |
---|
827 | } |
---|
828 | } |
---|
829 | virtual void _setColUpperBound(int i, double up) { |
---|
830 | if (up==-INF) { |
---|
831 | //FIXME error |
---|
832 | } |
---|
833 | int b=lpx_get_col_type(lp, i); |
---|
834 | double lo=lpx_get_col_lb(lp, i); |
---|
835 | if (up==INF) { |
---|
836 | switch (b) { |
---|
837 | case LPX_FR: |
---|
838 | case LPX_LO: |
---|
839 | break; |
---|
840 | case LPX_UP: |
---|
841 | lpx_set_col_bnds(lp, i, LPX_FR, lo, up); |
---|
842 | break; |
---|
843 | case LPX_DB: |
---|
844 | case LPX_FX: |
---|
845 | lpx_set_col_bnds(lp, i, LPX_LO, lo, up); |
---|
846 | break; |
---|
847 | default: ; |
---|
848 | //FIXME error |
---|
849 | } |
---|
850 | } else { |
---|
851 | switch (b) { |
---|
852 | case LPX_FR: |
---|
853 | lpx_set_col_bnds(lp, i, LPX_UP, lo, up); |
---|
854 | case LPX_LO: |
---|
855 | if (lo==up) |
---|
856 | lpx_set_col_bnds(lp, i, LPX_FX, lo, up); |
---|
857 | else |
---|
858 | lpx_set_col_bnds(lp, i, LPX_DB, lo, up); |
---|
859 | break; |
---|
860 | case LPX_UP: |
---|
861 | lpx_set_col_bnds(lp, i, LPX_UP, lo, up); |
---|
862 | break; |
---|
863 | case LPX_DB: |
---|
864 | case LPX_FX: |
---|
865 | if (lo==up) |
---|
866 | lpx_set_col_bnds(lp, i, LPX_FX, lo, up); |
---|
867 | else |
---|
868 | lpx_set_col_bnds(lp, i, LPX_DB, lo, up); |
---|
869 | break; |
---|
870 | default: ; |
---|
871 | //FIXME error |
---|
872 | } |
---|
873 | } |
---|
874 | } |
---|
875 | virtual double _getColUpperBound(int i) { |
---|
876 | int b=lpx_get_col_type(lp, i); |
---|
877 | switch (b) { |
---|
878 | case LPX_FR: |
---|
879 | case LPX_LO: |
---|
880 | return INF; |
---|
881 | case LPX_UP: |
---|
882 | case LPX_DB: |
---|
883 | case LPX_FX: |
---|
884 | return lpx_get_col_ub(lp, i); |
---|
885 | default: ; |
---|
886 | //FIXME error |
---|
887 | return 0.0; |
---|
888 | } |
---|
889 | } |
---|
890 | virtual void _setRowLowerBound(int i, double lo) { |
---|
891 | if (lo==INF) { |
---|
892 | //FIXME error |
---|
893 | } |
---|
894 | int b=lpx_get_row_type(lp, i); |
---|
895 | double up=lpx_get_row_ub(lp, i); |
---|
896 | if (lo==-INF) { |
---|
897 | switch (b) { |
---|
898 | case LPX_FR: |
---|
899 | case LPX_LO: |
---|
900 | lpx_set_row_bnds(lp, i, LPX_FR, lo, up); |
---|
901 | break; |
---|
902 | case LPX_UP: |
---|
903 | break; |
---|
904 | case LPX_DB: |
---|
905 | case LPX_FX: |
---|
906 | lpx_set_row_bnds(lp, i, LPX_UP, lo, up); |
---|
907 | break; |
---|
908 | default: ; |
---|
909 | //FIXME error |
---|
910 | } |
---|
911 | } else { |
---|
912 | switch (b) { |
---|
913 | case LPX_FR: |
---|
914 | case LPX_LO: |
---|
915 | lpx_set_row_bnds(lp, i, LPX_LO, lo, up); |
---|
916 | break; |
---|
917 | case LPX_UP: |
---|
918 | case LPX_DB: |
---|
919 | case LPX_FX: |
---|
920 | if (lo==up) |
---|
921 | lpx_set_row_bnds(lp, i, LPX_FX, lo, up); |
---|
922 | else |
---|
923 | lpx_set_row_bnds(lp, i, LPX_DB, lo, up); |
---|
924 | break; |
---|
925 | default: ; |
---|
926 | //FIXME error |
---|
927 | } |
---|
928 | } |
---|
929 | } |
---|
930 | virtual double _getRowLowerBound(int i) { |
---|
931 | int b=lpx_get_row_type(lp, i); |
---|
932 | switch (b) { |
---|
933 | case LPX_FR: |
---|
934 | return -INF; |
---|
935 | case LPX_LO: |
---|
936 | return lpx_get_row_lb(lp, i); |
---|
937 | case LPX_UP: |
---|
938 | return -INF; |
---|
939 | case LPX_DB: |
---|
940 | case LPX_FX: |
---|
941 | return lpx_get_row_lb(lp, i); |
---|
942 | default: ; |
---|
943 | //FIXME error |
---|
944 | return 0.0; |
---|
945 | } |
---|
946 | } |
---|
947 | virtual void _setRowUpperBound(int i, double up) { |
---|
948 | if (up==-INF) { |
---|
949 | //FIXME error |
---|
950 | } |
---|
951 | int b=lpx_get_row_type(lp, i); |
---|
952 | double lo=lpx_get_row_lb(lp, i); |
---|
953 | if (up==INF) { |
---|
954 | switch (b) { |
---|
955 | case LPX_FR: |
---|
956 | case LPX_LO: |
---|
957 | break; |
---|
958 | case LPX_UP: |
---|
959 | lpx_set_row_bnds(lp, i, LPX_FR, lo, up); |
---|
960 | break; |
---|
961 | case LPX_DB: |
---|
962 | case LPX_FX: |
---|
963 | lpx_set_row_bnds(lp, i, LPX_LO, lo, up); |
---|
964 | break; |
---|
965 | default: ; |
---|
966 | //FIXME error |
---|
967 | } |
---|
968 | } else { |
---|
969 | switch (b) { |
---|
970 | case LPX_FR: |
---|
971 | lpx_set_row_bnds(lp, i, LPX_UP, lo, up); |
---|
972 | case LPX_LO: |
---|
973 | if (lo==up) |
---|
974 | lpx_set_row_bnds(lp, i, LPX_FX, lo, up); |
---|
975 | else |
---|
976 | lpx_set_row_bnds(lp, i, LPX_DB, lo, up); |
---|
977 | break; |
---|
978 | case LPX_UP: |
---|
979 | lpx_set_row_bnds(lp, i, LPX_UP, lo, up); |
---|
980 | break; |
---|
981 | case LPX_DB: |
---|
982 | case LPX_FX: |
---|
983 | if (lo==up) |
---|
984 | lpx_set_row_bnds(lp, i, LPX_FX, lo, up); |
---|
985 | else |
---|
986 | lpx_set_row_bnds(lp, i, LPX_DB, lo, up); |
---|
987 | break; |
---|
988 | default: ; |
---|
989 | //FIXME error |
---|
990 | } |
---|
991 | } |
---|
992 | } |
---|
993 | virtual double _getRowUpperBound(int i) { |
---|
994 | int b=lpx_get_row_type(lp, i); |
---|
995 | switch (b) { |
---|
996 | case LPX_FR: |
---|
997 | case LPX_LO: |
---|
998 | return INF; |
---|
999 | case LPX_UP: |
---|
1000 | case LPX_DB: |
---|
1001 | case LPX_FX: |
---|
1002 | return lpx_get_row_ub(lp, i); |
---|
1003 | default: ; |
---|
1004 | //FIXME error |
---|
1005 | return 0.0; |
---|
1006 | } |
---|
1007 | } |
---|
1008 | /// \e |
---|
1009 | virtual double _getObjCoeff(int i) { |
---|
1010 | return lpx_get_obj_coef(lp, i); |
---|
1011 | } |
---|
1012 | /// \e |
---|
1013 | virtual void _setObjCoeff(int i, double obj_coef) { |
---|
1014 | lpx_set_obj_coef(lp, i, obj_coef); |
---|
1015 | } |
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1016 | public: |
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1017 | /// \e |
---|
1018 | void solveSimplex() { lpx_simplex(lp); } |
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1019 | /// \e |
---|
1020 | void solvePrimalSimplex() { lpx_simplex(lp); } |
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1021 | /// \e |
---|
1022 | void solveDualSimplex() { lpx_simplex(lp); } |
---|
1023 | protected: |
---|
1024 | virtual double _getPrimal(int i) { |
---|
1025 | return lpx_get_col_prim(lp, i); |
---|
1026 | } |
---|
1027 | public: |
---|
1028 | /// \e |
---|
1029 | double getObjVal() { return lpx_get_obj_val(lp); } |
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1030 | /// \e |
---|
1031 | int rowNum() const { return lpx_get_num_rows(lp); } |
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1032 | /// \e |
---|
1033 | int colNum() const { return lpx_get_num_cols(lp); } |
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1034 | /// \e |
---|
1035 | int warmUp() { return lpx_warm_up(lp); } |
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1036 | /// \e |
---|
1037 | void printWarmUpStatus(int i) { |
---|
1038 | switch (i) { |
---|
1039 | case LPX_E_OK: cout << "LPX_E_OK" << endl; break; |
---|
1040 | case LPX_E_EMPTY: cout << "LPX_E_EMPTY" << endl; break; |
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1041 | case LPX_E_BADB: cout << "LPX_E_BADB" << endl; break; |
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1042 | case LPX_E_SING: cout << "LPX_E_SING" << endl; break; |
---|
1043 | } |
---|
1044 | } |
---|
1045 | /// \e |
---|
1046 | int getPrimalStatus() { return lpx_get_prim_stat(lp); } |
---|
1047 | /// \e |
---|
1048 | void printPrimalStatus(int i) { |
---|
1049 | switch (i) { |
---|
1050 | case LPX_P_UNDEF: cout << "LPX_P_UNDEF" << endl; break; |
---|
1051 | case LPX_P_FEAS: cout << "LPX_P_FEAS" << endl; break; |
---|
1052 | case LPX_P_INFEAS: cout << "LPX_P_INFEAS" << endl; break; |
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1053 | case LPX_P_NOFEAS: cout << "LPX_P_NOFEAS" << endl; break; |
---|
1054 | } |
---|
1055 | } |
---|
1056 | /// \e |
---|
1057 | int getDualStatus() { return lpx_get_dual_stat(lp); } |
---|
1058 | /// \e |
---|
1059 | void printDualStatus(int i) { |
---|
1060 | switch (i) { |
---|
1061 | case LPX_D_UNDEF: cout << "LPX_D_UNDEF" << endl; break; |
---|
1062 | case LPX_D_FEAS: cout << "LPX_D_FEAS" << endl; break; |
---|
1063 | case LPX_D_INFEAS: cout << "LPX_D_INFEAS" << endl; break; |
---|
1064 | case LPX_D_NOFEAS: cout << "LPX_D_NOFEAS" << endl; break; |
---|
1065 | } |
---|
1066 | } |
---|
1067 | /// Returns the status of the slack variable assigned to row \c row. |
---|
1068 | int getRowStat(const Row& row) { |
---|
1069 | return lpx_get_row_stat(lp, row_iter_map[row]); |
---|
1070 | } |
---|
1071 | /// \e |
---|
1072 | void printRowStatus(int i) { |
---|
1073 | switch (i) { |
---|
1074 | case LPX_BS: cout << "LPX_BS" << endl; break; |
---|
1075 | case LPX_NL: cout << "LPX_NL" << endl; break; |
---|
1076 | case LPX_NU: cout << "LPX_NU" << endl; break; |
---|
1077 | case LPX_NF: cout << "LPX_NF" << endl; break; |
---|
1078 | case LPX_NS: cout << "LPX_NS" << endl; break; |
---|
1079 | } |
---|
1080 | } |
---|
1081 | /// Returns the status of the variable assigned to column \c col. |
---|
1082 | int getColStat(const Col& col) { |
---|
1083 | return lpx_get_col_stat(lp, col_iter_map[col]); |
---|
1084 | } |
---|
1085 | /// \e |
---|
1086 | void printColStatus(int i) { |
---|
1087 | switch (i) { |
---|
1088 | case LPX_BS: cout << "LPX_BS" << endl; break; |
---|
1089 | case LPX_NL: cout << "LPX_NL" << endl; break; |
---|
1090 | case LPX_NU: cout << "LPX_NU" << endl; break; |
---|
1091 | case LPX_NF: cout << "LPX_NF" << endl; break; |
---|
1092 | case LPX_NS: cout << "LPX_NS" << endl; break; |
---|
1093 | } |
---|
1094 | } |
---|
1095 | |
---|
1096 | // MIP |
---|
1097 | /// \e |
---|
1098 | void solveBandB() { lpx_integer(lp); } |
---|
1099 | /// \e |
---|
1100 | void setLP() { lpx_set_class(lp, LPX_LP); } |
---|
1101 | /// \e |
---|
1102 | void setMIP() { lpx_set_class(lp, LPX_MIP); } |
---|
1103 | protected: |
---|
1104 | /// \e |
---|
1105 | void _setColCont(int i) { lpx_set_col_kind(lp, i, LPX_CV); } |
---|
1106 | /// \e |
---|
1107 | void _setColInt(int i) { lpx_set_col_kind(lp, i, LPX_IV); } |
---|
1108 | /// \e |
---|
1109 | double _getMIPPrimal(int i) { return lpx_mip_col_val(lp, i); } |
---|
1110 | }; |
---|
1111 | |
---|
1112 | /// @} |
---|
1113 | |
---|
1114 | } //namespace lemon |
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1115 | |
---|
1116 | #endif //LEMON_LP_SOLVER_BASE_H |
---|