1 | /* -*- C++ -*- |
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2 | * src/lemon/lp_base.h - Part of LEMON, a generic C++ optimization library |
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3 | * |
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4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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5 | * (Egervary Combinatorial Optimization Research Group, EGRES). |
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6 | * |
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7 | * Permission to use, modify and distribute this software is granted |
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8 | * provided that this copyright notice appears in all copies. For |
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9 | * precise terms see the accompanying LICENSE file. |
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10 | * |
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11 | * This software is provided "AS IS" with no warranty of any kind, |
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12 | * express or implied, and with no claim as to its suitability for any |
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13 | * purpose. |
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14 | * |
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15 | */ |
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16 | |
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17 | #ifndef LEMON_LP_BASE_H |
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18 | #define LEMON_LP_BASE_H |
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19 | |
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20 | #include<vector> |
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21 | #include<map> |
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22 | #include<limits> |
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23 | #include<math.h> |
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24 | |
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25 | #include<lemon/utility.h> |
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26 | #include<lemon/error.h> |
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27 | #include<lemon/invalid.h> |
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28 | |
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29 | //#include"lin_expr.h" |
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30 | |
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31 | ///\file |
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32 | ///\brief The interface of the LP solver interface. |
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33 | namespace lemon { |
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34 | |
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35 | ///Internal data structure to convert floating id's to fix one's |
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36 | |
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37 | ///\todo This might be implemented to be also usable in other places. |
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38 | class _FixId |
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39 | { |
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40 | std::vector<int> index; |
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41 | std::vector<int> cross; |
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42 | int first_free; |
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43 | public: |
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44 | _FixId() : first_free(-1) {}; |
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45 | ///Convert a floating id to a fix one |
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46 | |
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47 | ///\param n is a floating id |
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48 | ///\return the corresponding fix id |
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49 | int fixId(int n) {return cross[n];} |
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50 | ///Convert a fix id to a floating one |
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51 | |
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52 | ///\param n is a fix id |
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53 | ///\return the corresponding floating id |
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54 | int floatingId(int n) { return index[n];} |
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55 | ///Add a new floating id. |
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56 | |
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57 | ///\param n is a floating id |
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58 | ///\return the fix id of the new value |
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59 | ///\todo Multiple additions should also be handled. |
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60 | int insert(int n) |
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61 | { |
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62 | if(n>=int(cross.size())) { |
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63 | cross.resize(n+1); |
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64 | if(first_free==-1) { |
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65 | cross[n]=index.size(); |
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66 | index.push_back(n); |
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67 | } |
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68 | else { |
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69 | cross[n]=first_free; |
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70 | int next=index[first_free]; |
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71 | index[first_free]=n; |
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72 | first_free=next; |
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73 | } |
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74 | return cross[n]; |
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75 | } |
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76 | ///\todo Create an own exception type. |
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77 | else throw LogicError(); //floatingId-s must form a continuous range; |
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78 | } |
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79 | ///Remove a fix id. |
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80 | |
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81 | ///\param n is a fix id |
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82 | /// |
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83 | void erase(int n) |
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84 | { |
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85 | int fl=index[n]; |
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86 | index[n]=first_free; |
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87 | first_free=n; |
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88 | for(int i=fl+1;i<int(cross.size());++i) { |
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89 | cross[i-1]=cross[i]; |
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90 | index[cross[i]]--; |
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91 | } |
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92 | cross.pop_back(); |
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93 | } |
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94 | ///An upper bound on the largest fix id. |
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95 | |
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96 | ///\todo Do we need this? |
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97 | /// |
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98 | std::size_t maxFixId() { return cross.size()-1; } |
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99 | |
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100 | }; |
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101 | |
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102 | ///Common base class for LP solvers |
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103 | class LpSolverBase { |
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104 | |
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105 | public: |
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106 | |
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107 | ///\e |
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108 | enum SolveExitStatus { |
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109 | ///\e |
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110 | SOLVED = 0, |
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111 | ///\e |
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112 | UNSOLVED = 1 |
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113 | }; |
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114 | |
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115 | ///\e |
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116 | enum SolutionStatus { |
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117 | ///Feasible solution has'n been found (but may exist). |
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118 | |
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119 | ///\todo NOTFOUND might be a better name. |
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120 | /// |
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121 | UNDEFINED = 0, |
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122 | ///The problem has no feasible solution |
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123 | INFEASIBLE = 1, |
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124 | ///Feasible solution found |
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125 | FEASIBLE = 2, |
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126 | ///Optimal solution exists and found |
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127 | OPTIMAL = 3, |
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128 | ///The cost function is unbounded |
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129 | |
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130 | ///\todo Give a feasible solution and an infinite ray (and the |
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131 | ///corresponding bases) |
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132 | INFINITE = 4 |
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133 | }; |
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134 | |
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135 | ///The floating point type used by the solver |
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136 | typedef double Value; |
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137 | ///The infinity constant |
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138 | static const Value INF; |
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139 | ///The not a number constant |
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140 | static const Value NaN; |
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141 | |
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142 | ///Refer to a column of the LP. |
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143 | |
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144 | ///This type is used to refer to a column of the LP. |
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145 | /// |
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146 | ///Its value remains valid and correct even after the addition or erase of |
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147 | ///other columns. |
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148 | /// |
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149 | ///\todo Document what can one do with a Col (INVALID, comparing, |
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150 | ///it is similar to Node/Edge) |
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151 | class Col { |
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152 | protected: |
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153 | int id; |
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154 | friend class LpSolverBase; |
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155 | public: |
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156 | typedef Value ExprValue; |
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157 | typedef True LpSolverCol; |
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158 | Col() {} |
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159 | Col(const Invalid&) : id(-1) {} |
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160 | bool operator<(Col c) const {return id<c.id;} |
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161 | bool operator==(Col c) const {return id==c.id;} |
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162 | bool operator!=(Col c) const {return id==c.id;} |
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163 | }; |
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164 | |
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165 | ///Refer to a row of the LP. |
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166 | |
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167 | ///This type is used to refer to a row of the LP. |
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168 | /// |
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169 | ///Its value remains valid and correct even after the addition or erase of |
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170 | ///other rows. |
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171 | /// |
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172 | ///\todo Document what can one do with a Row (INVALID, comparing, |
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173 | ///it is similar to Node/Edge) |
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174 | class Row { |
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175 | protected: |
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176 | int id; |
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177 | friend class LpSolverBase; |
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178 | public: |
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179 | typedef Value ExprValue; |
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180 | typedef True LpSolverRow; |
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181 | Row() {} |
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182 | Row(const Invalid&) : id(-1) {} |
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183 | typedef True LpSolverRow; |
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184 | bool operator<(Row c) const {return id<c.id;} |
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185 | bool operator==(Row c) const {return id==c.id;} |
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186 | bool operator!=(Row c) const {return id==c.id;} |
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187 | }; |
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188 | |
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189 | ///Linear expression of variables and a constant component |
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190 | |
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191 | ///This data structure strores a linear expression of the variables |
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192 | ///(\ref Col "Col"s) and also has a constant component. |
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193 | /// |
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194 | ///There are several ways to access and modify the contents of this |
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195 | ///container. |
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196 | ///- Its it fully compatible with \c std::map<Col,double>, so for expamle |
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197 | ///if \c e is an Expr and \c v and \c w are of type \ref Col then you can |
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198 | ///read and modify the coefficients like |
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199 | ///these. |
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200 | ///\code |
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201 | ///e[v]=5; |
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202 | ///e[v]+=12; |
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203 | ///e.erase(v); |
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204 | ///\endcode |
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205 | ///or you can also iterate through its elements. |
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206 | ///\code |
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207 | ///double s=0; |
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208 | ///for(LpSolverBase::Expr::iterator i=e.begin();i!=e.end();++i) |
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209 | /// s+=i->second; |
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210 | ///\endcode |
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211 | ///(This code computes the sum of all coefficients). |
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212 | ///- Numbers (<tt>double</tt>'s) |
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213 | ///and variables (\ref Col "Col"s) directly convert to an |
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214 | ///\ref Expr and the usual linear operations are defined so |
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215 | ///\code |
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216 | ///v+w |
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217 | ///2*v-3.12*(v-w/2)+2 |
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218 | ///v*2.1+(3*v+(v*12+w+6)*3)/2 |
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219 | ///\endcode |
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220 | ///are valid expressions. The usual assignment operations are also defined. |
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221 | ///\code |
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222 | ///e=v+w; |
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223 | ///e+=2*v-3.12*(v-w/2)+2; |
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224 | ///e*=3.4; |
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225 | ///e/=5; |
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226 | ///\endcode |
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227 | ///- The constant member can be set and read by \ref constComp() |
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228 | ///\code |
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229 | ///e.constComp()=12; |
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230 | ///double c=e.constComp(); |
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231 | ///\endcode |
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232 | /// |
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233 | ///\note that \ref clear() not only sets all coefficients to 0 but also |
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234 | ///clears the constant components. |
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235 | class Expr : public std::map<Col,Value> |
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236 | { |
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237 | public: |
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238 | typedef LpSolverBase::Col Key; |
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239 | typedef LpSolverBase::Value Value; |
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240 | |
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241 | protected: |
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242 | typedef std::map<Col,Value> Base; |
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243 | |
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244 | Value const_comp; |
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245 | public: |
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246 | typedef True IsLinExpression; |
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247 | ///\e |
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248 | Expr() : Base(), const_comp(0) { } |
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249 | ///\e |
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250 | Expr(const Key &v) : const_comp(0) { |
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251 | Base::insert(std::make_pair(v, 1)); |
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252 | } |
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253 | ///\e |
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254 | Expr(const Value &v) : const_comp(v) {} |
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255 | ///\e |
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256 | void set(const Key &v,const Value &c) { |
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257 | Base::insert(std::make_pair(v, c)); |
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258 | } |
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259 | ///\e |
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260 | Value &constComp() { return const_comp; } |
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261 | ///\e |
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262 | const Value &constComp() const { return const_comp; } |
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263 | |
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264 | ///Removes the components with zero coefficient. |
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265 | void simplify() { |
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266 | for (Base::iterator i=Base::begin(); i!=Base::end();) { |
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267 | Base::iterator j=i; |
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268 | ++j; |
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269 | if ((*i).second==0) Base::erase(i); |
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270 | j=i; |
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271 | } |
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272 | } |
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273 | |
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274 | ///Sets all coefficients and the constant component to 0. |
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275 | void clear() { |
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276 | Base::clear(); |
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277 | const_comp=0; |
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278 | } |
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279 | |
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280 | ///\e |
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281 | Expr &operator+=(const Expr &e) { |
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282 | for (Base::const_iterator j=e.begin(); j!=e.end(); ++j) |
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283 | (*this)[j->first]+=j->second; |
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284 | ///\todo it might be speeded up using "hints" |
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285 | const_comp+=e.const_comp; |
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286 | return *this; |
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287 | } |
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288 | ///\e |
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289 | Expr &operator-=(const Expr &e) { |
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290 | for (Base::const_iterator j=e.begin(); j!=e.end(); ++j) |
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291 | (*this)[j->first]-=j->second; |
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292 | const_comp-=e.const_comp; |
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293 | return *this; |
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294 | } |
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295 | ///\e |
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296 | Expr &operator*=(const Value &c) { |
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297 | for (Base::iterator j=Base::begin(); j!=Base::end(); ++j) |
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298 | j->second*=c; |
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299 | const_comp*=c; |
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300 | return *this; |
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301 | } |
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302 | ///\e |
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303 | Expr &operator/=(const Value &c) { |
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304 | for (Base::iterator j=Base::begin(); j!=Base::end(); ++j) |
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305 | j->second/=c; |
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306 | const_comp/=c; |
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307 | return *this; |
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308 | } |
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309 | }; |
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310 | |
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311 | ///Linear constraint |
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312 | //typedef LinConstr<Expr> Constr; |
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313 | class Constr |
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314 | { |
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315 | public: |
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316 | typedef LpSolverBase::Expr Expr; |
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317 | typedef Expr::Key Key; |
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318 | typedef Expr::Value Value; |
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319 | |
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320 | static const Value INF; |
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321 | static const Value NaN; |
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322 | // static const Value INF=0; |
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323 | // static const Value NaN=1; |
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324 | |
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325 | protected: |
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326 | Expr _expr; |
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327 | Value _lb,_ub; |
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328 | public: |
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329 | ///\e |
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330 | Constr() : _expr(), _lb(NaN), _ub(NaN) {} |
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331 | ///\e |
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332 | Constr(Value lb,const Expr &e,Value ub) : |
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333 | _expr(e), _lb(lb), _ub(ub) {} |
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334 | ///\e |
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335 | Constr(const Expr &e,Value ub) : |
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336 | _expr(e), _lb(NaN), _ub(ub) {} |
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337 | ///\e |
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338 | Constr(Value lb,const Expr &e) : |
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339 | _expr(e), _lb(lb), _ub(NaN) {} |
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340 | ///\e |
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341 | Constr(const Expr &e) : |
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342 | _expr(e), _lb(NaN), _ub(NaN) {} |
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343 | ///\e |
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344 | void clear() |
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345 | { |
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346 | _expr.clear(); |
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347 | _lb=_ub=NaN; |
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348 | } |
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349 | ///\e |
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350 | Expr &expr() { return _expr; } |
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351 | ///\e |
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352 | const Expr &expr() const { return _expr; } |
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353 | ///\e |
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354 | Value &lowerBound() { return _lb; } |
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355 | ///\e |
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356 | const Value &lowerBound() const { return _lb; } |
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357 | ///\e |
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358 | Value &upperBound() { return _ub; } |
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359 | ///\e |
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360 | const Value &upperBound() const { return _ub; } |
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361 | ///\e |
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362 | bool lowerBounded() const { |
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363 | using namespace std; |
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364 | return isfinite(_lb); |
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365 | } |
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366 | ///\e |
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367 | bool upperBounded() const { |
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368 | using namespace std; |
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369 | return isfinite(_ub); |
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370 | } |
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371 | }; |
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372 | |
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373 | |
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374 | protected: |
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375 | _FixId rows; |
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376 | _FixId cols; |
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377 | |
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378 | virtual int _addCol() = 0; |
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379 | virtual int _addRow() = 0; |
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380 | virtual void _setRowCoeffs(int i, |
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381 | int length, |
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382 | int const * indices, |
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383 | Value const * values ) = 0; |
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384 | virtual void _setColCoeffs(int i, |
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385 | int length, |
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386 | int const * indices, |
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387 | Value const * values ) = 0; |
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388 | virtual void _setColLowerBound(int i, Value value) = 0; |
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389 | virtual void _setColUpperBound(int i, Value value) = 0; |
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390 | virtual void _setRowLowerBound(int i, Value value) = 0; |
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391 | virtual void _setRowUpperBound(int i, Value value) = 0; |
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392 | virtual void _setObjCoeff(int i, Value obj_coef) = 0; |
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393 | virtual SolveExitStatus _solve() = 0; |
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394 | virtual Value _getPrimal(int i) = 0; |
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395 | virtual SolutionStatus _getPrimalType() = 0; |
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396 | |
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397 | |
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398 | void clearObj() {} |
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399 | public: |
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400 | |
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401 | |
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402 | ///\e |
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403 | virtual ~LpSolverBase() {} |
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404 | |
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405 | ///\name Build up and modify of the LP |
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406 | |
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407 | ///@{ |
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408 | |
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409 | ///Add a new empty column (i.e a new variable) to the LP |
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410 | Col addCol() { Col c; c.id=cols.insert(_addCol()); return c;} |
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411 | |
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412 | ///\brief Adds several new columns |
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413 | ///(i.e a variables) at once |
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414 | /// |
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415 | ///This magic function takes a container as its argument |
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416 | ///and fills its elements |
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417 | ///with new columns (i.e. variables) |
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418 | ///\param t can be |
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419 | ///- a standard STL compatible iterable container with |
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420 | ///\ref Col as its \c values_type |
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421 | ///like |
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422 | ///\code |
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423 | ///std::vector<LpSolverBase::Col> |
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424 | ///std::list<LpSolverBase::Col> |
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425 | ///\endcode |
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426 | ///- a standard STL compatible iterable container with |
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427 | ///\ref Col as its \c mapped_type |
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428 | ///like |
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429 | ///\code |
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430 | ///std::map<AnyType,LpSolverBase::Col> |
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431 | ///\endcode |
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432 | ///- an iterable lemon \ref concept::WriteMap "write map" like |
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433 | ///\code |
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434 | ///ListGraph::NodeMap<LpSolverBase::Col> |
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435 | ///ListGraph::EdgeMap<LpSolverBase::Col> |
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436 | ///\endcode |
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437 | ///\return The number of the created column. |
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438 | ///\bug Iterable nodemap hasn't been implemented yet. |
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439 | #ifdef DOXYGEN |
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440 | template<class T> |
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441 | int addColSet(T &t) { return 0;} |
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442 | #else |
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443 | template<class T> |
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444 | typename enable_if<typename T::value_type::LpSolverCol,int>::type |
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445 | addColSet(T &t,dummy<0> = 0) { |
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446 | int s=0; |
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447 | for(typename T::iterator i=t.begin();i!=t.end();++i) {*i=addCol();s++;} |
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448 | return s; |
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449 | } |
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450 | template<class T> |
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451 | typename enable_if<typename T::value_type::second_type::LpSolverCol, |
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452 | int>::type |
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453 | addColSet(T &t,dummy<1> = 1) { |
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454 | int s=0; |
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455 | for(typename T::iterator i=t.begin();i!=t.end();++i) { |
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456 | i->second=addCol(); |
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457 | s++; |
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458 | } |
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459 | return s; |
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460 | } |
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461 | template<class T> |
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462 | typename enable_if<typename T::ValueSet::value_type::LpSolverCol, |
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463 | int>::type |
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464 | addColSet(T &t,dummy<2> = 2) { |
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465 | ///\bug <tt>return addColSet(t.valueSet());</tt> should also work. |
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466 | int s=0; |
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467 | for(typename T::ValueSet::iterator i=t.valueSet().begin(); |
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468 | i!=t.valueSet().end(); |
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469 | ++i) |
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470 | { |
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471 | *i=addCol(); |
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472 | s++; |
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473 | } |
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474 | return s; |
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475 | } |
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476 | #endif |
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477 | |
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478 | ///Add a new empty row (i.e a new constaint) to the LP |
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479 | |
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480 | ///This function adds a new empty row (i.e a new constaint) to the LP. |
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481 | ///\return The created row |
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482 | Row addRow() { Row r; r.id=rows.insert(_addRow()); return r;} |
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483 | |
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484 | ///Set a row (i.e a constaint) of the LP |
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485 | |
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486 | ///\param r is the row to be modified |
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487 | ///\param l is lower bound (-\ref INF means no bound) |
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488 | ///\param e is a linear expression (see \ref Expr) |
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489 | ///\param u is the upper bound (\ref INF means no bound) |
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490 | ///\bug This is a temportary function. The interface will change to |
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491 | ///a better one. |
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492 | void setRow(Row r, Value l,const Expr &e, Value u) { |
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493 | std::vector<int> indices; |
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494 | std::vector<Value> values; |
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495 | indices.push_back(0); |
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496 | values.push_back(0); |
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497 | for(Expr::const_iterator i=e.begin(); i!=e.end(); ++i) |
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498 | if((*i).second!=0) { ///\bug EPSILON would be necessary here!!! |
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499 | indices.push_back(cols.floatingId((*i).first.id)); |
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500 | values.push_back((*i).second); |
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501 | } |
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502 | _setRowCoeffs(rows.floatingId(r.id),indices.size()-1, |
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503 | &indices[0],&values[0]); |
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504 | _setRowLowerBound(rows.floatingId(r.id),l-e.constComp()); |
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505 | _setRowUpperBound(rows.floatingId(r.id),u-e.constComp()); |
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506 | } |
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507 | |
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508 | ///Set a row (i.e a constaint) of the LP |
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509 | |
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510 | ///\param r is the row to be modified |
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511 | ///\param c is a linear expression (see \ref Constr) |
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512 | void setRow(Row r, const Constr &c) { |
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513 | setRow(r, |
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514 | c.lowerBounded()?c.lowerBound():-INF, |
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515 | c.expr(), |
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516 | c.upperBounded()?c.upperBound():INF); |
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517 | } |
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518 | |
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519 | ///Add a new row (i.e a new constaint) to the LP |
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520 | |
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521 | ///\param l is the lower bound (-\ref INF means no bound) |
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522 | ///\param e is a linear expression (see \ref Expr) |
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523 | ///\param u is the upper bound (\ref INF means no bound) |
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524 | ///\return The created row. |
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525 | ///\bug This is a temportary function. The interface will change to |
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526 | ///a better one. |
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527 | Row addRow(Value l,const Expr &e, Value u) { |
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528 | Row r=addRow(); |
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529 | setRow(r,l,e,u); |
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530 | return r; |
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531 | } |
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532 | |
---|
533 | ///Add a new row (i.e a new constaint) to the LP |
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534 | |
---|
535 | ///\param c is a linear expression (see \ref Constr) |
---|
536 | ///\return The created row. |
---|
537 | Row addRow(const Constr &c) { |
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538 | Row r=addRow(); |
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539 | setRow(r,c); |
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540 | return r; |
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541 | } |
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542 | |
---|
543 | /// Set the lower bound of a column (i.e a variable) |
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544 | |
---|
545 | /// The upper bound of a variable (column) has to be given by an |
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546 | /// extended number of type Value, i.e. a finite number of type |
---|
547 | /// Value or -\ref INF. |
---|
548 | void colLowerBound(Col c, Value value) { |
---|
549 | _setColLowerBound(cols.floatingId(c.id),value); |
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550 | } |
---|
551 | /// Set the upper bound of a column (i.e a variable) |
---|
552 | |
---|
553 | /// The upper bound of a variable (column) has to be given by an |
---|
554 | /// extended number of type Value, i.e. a finite number of type |
---|
555 | /// Value or \ref INF. |
---|
556 | void colUpperBound(Col c, Value value) { |
---|
557 | _setColUpperBound(cols.floatingId(c.id),value); |
---|
558 | }; |
---|
559 | /// Set the lower and the upper bounds of a column (i.e a variable) |
---|
560 | |
---|
561 | /// The lower and the upper bounds of |
---|
562 | /// a variable (column) have to be given by an |
---|
563 | /// extended number of type Value, i.e. a finite number of type |
---|
564 | /// Value, -\ref INF or \ref INF. |
---|
565 | void colBounds(Col c, Value lower, Value upper) { |
---|
566 | _setColLowerBound(cols.floatingId(c.id),lower); |
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567 | _setColUpperBound(cols.floatingId(c.id),upper); |
---|
568 | } |
---|
569 | |
---|
570 | /// Set the lower bound of a row (i.e a constraint) |
---|
571 | |
---|
572 | /// The lower bound of a linear expression (row) has to be given by an |
---|
573 | /// extended number of type Value, i.e. a finite number of type |
---|
574 | /// Value or -\ref INF. |
---|
575 | void rowLowerBound(Row r, Value value) { |
---|
576 | _setRowLowerBound(rows.floatingId(r.id),value); |
---|
577 | }; |
---|
578 | /// Set the upper bound of a row (i.e a constraint) |
---|
579 | |
---|
580 | /// The upper bound of a linear expression (row) has to be given by an |
---|
581 | /// extended number of type Value, i.e. a finite number of type |
---|
582 | /// Value or \ref INF. |
---|
583 | void rowUpperBound(Row r, Value value) { |
---|
584 | _setRowUpperBound(rows.floatingId(r.id),value); |
---|
585 | }; |
---|
586 | /// Set the lower and the upper bounds of a row (i.e a variable) |
---|
587 | |
---|
588 | /// The lower and the upper bounds of |
---|
589 | /// a constraint (row) have to be given by an |
---|
590 | /// extended number of type Value, i.e. a finite number of type |
---|
591 | /// Value, -\ref INF or \ref INF. |
---|
592 | void rowBounds(Row c, Value lower, Value upper) { |
---|
593 | _setRowLowerBound(rows.floatingId(c.id),lower); |
---|
594 | _setRowUpperBound(rows.floatingId(c.id),upper); |
---|
595 | } |
---|
596 | |
---|
597 | ///Set an element of the objective function |
---|
598 | void objCoeff(Col c, Value v) {_setObjCoeff(cols.floatingId(c.id),v); }; |
---|
599 | ///Set the objective function |
---|
600 | |
---|
601 | ///\param e is a linear expression of type \ref Expr. |
---|
602 | ///\todo What to do with the constant component? |
---|
603 | void setObj(Expr e) { |
---|
604 | clearObj(); |
---|
605 | for (Expr::iterator i=e.begin(); i!=e.end(); ++i) |
---|
606 | objCoeff((*i).first,(*i).second); |
---|
607 | } |
---|
608 | |
---|
609 | ///@} |
---|
610 | |
---|
611 | |
---|
612 | ///\name Solve the LP |
---|
613 | |
---|
614 | ///@{ |
---|
615 | |
---|
616 | ///\e |
---|
617 | SolveExitStatus solve() { return _solve(); } |
---|
618 | |
---|
619 | ///@} |
---|
620 | |
---|
621 | ///\name Obtain the solution |
---|
622 | |
---|
623 | ///@{ |
---|
624 | |
---|
625 | ///\e |
---|
626 | SolutionStatus primalType() { |
---|
627 | return _getPrimalType(); |
---|
628 | } |
---|
629 | |
---|
630 | ///\e |
---|
631 | Value primal(Col c) { return _getPrimal(cols.floatingId(c.id)); } |
---|
632 | |
---|
633 | ///@} |
---|
634 | |
---|
635 | }; |
---|
636 | |
---|
637 | ///\e |
---|
638 | |
---|
639 | ///\relates LpSolverBase::Expr |
---|
640 | /// |
---|
641 | inline LpSolverBase::Expr operator+(const LpSolverBase::Expr &a, |
---|
642 | const LpSolverBase::Expr &b) |
---|
643 | { |
---|
644 | LpSolverBase::Expr tmp(a); |
---|
645 | tmp+=b; ///\todo Don't STL have some special 'merge' algorithm? |
---|
646 | return tmp; |
---|
647 | } |
---|
648 | ///\e |
---|
649 | |
---|
650 | ///\relates LpSolverBase::Expr |
---|
651 | /// |
---|
652 | inline LpSolverBase::Expr operator-(const LpSolverBase::Expr &a, |
---|
653 | const LpSolverBase::Expr &b) |
---|
654 | { |
---|
655 | LpSolverBase::Expr tmp(a); |
---|
656 | tmp-=b; ///\todo Don't STL have some special 'merge' algorithm? |
---|
657 | return tmp; |
---|
658 | } |
---|
659 | ///\e |
---|
660 | |
---|
661 | ///\relates LpSolverBase::Expr |
---|
662 | /// |
---|
663 | inline LpSolverBase::Expr operator*(const LpSolverBase::Expr &a, |
---|
664 | const LpSolverBase::Value &b) |
---|
665 | { |
---|
666 | LpSolverBase::Expr tmp(a); |
---|
667 | tmp*=b; ///\todo Don't STL have some special 'merge' algorithm? |
---|
668 | return tmp; |
---|
669 | } |
---|
670 | |
---|
671 | ///\e |
---|
672 | |
---|
673 | ///\relates LpSolverBase::Expr |
---|
674 | /// |
---|
675 | inline LpSolverBase::Expr operator*(const LpSolverBase::Value &a, |
---|
676 | const LpSolverBase::Expr &b) |
---|
677 | { |
---|
678 | LpSolverBase::Expr tmp(b); |
---|
679 | tmp*=a; ///\todo Don't STL have some special 'merge' algorithm? |
---|
680 | return tmp; |
---|
681 | } |
---|
682 | ///\e |
---|
683 | |
---|
684 | ///\relates LpSolverBase::Expr |
---|
685 | /// |
---|
686 | inline LpSolverBase::Expr operator/(const LpSolverBase::Expr &a, |
---|
687 | const LpSolverBase::Value &b) |
---|
688 | { |
---|
689 | LpSolverBase::Expr tmp(a); |
---|
690 | tmp/=b; ///\todo Don't STL have some special 'merge' algorithm? |
---|
691 | return tmp; |
---|
692 | } |
---|
693 | |
---|
694 | ///\e |
---|
695 | |
---|
696 | ///\relates LpSolverBase::Constr |
---|
697 | /// |
---|
698 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Expr &e, |
---|
699 | const LpSolverBase::Expr &f) |
---|
700 | { |
---|
701 | return LpSolverBase::Constr(-LpSolverBase::INF,e-f,0); |
---|
702 | } |
---|
703 | |
---|
704 | ///\e |
---|
705 | |
---|
706 | ///\relates LpSolverBase::Constr |
---|
707 | /// |
---|
708 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Value &e, |
---|
709 | const LpSolverBase::Expr &f) |
---|
710 | { |
---|
711 | return LpSolverBase::Constr(e,f); |
---|
712 | } |
---|
713 | |
---|
714 | ///\e |
---|
715 | |
---|
716 | ///\relates LpSolverBase::Constr |
---|
717 | /// |
---|
718 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Expr &e, |
---|
719 | const LpSolverBase::Value &f) |
---|
720 | { |
---|
721 | return LpSolverBase::Constr(e,f); |
---|
722 | } |
---|
723 | |
---|
724 | ///\e |
---|
725 | |
---|
726 | ///\relates LpSolverBase::Constr |
---|
727 | /// |
---|
728 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Expr &e, |
---|
729 | const LpSolverBase::Expr &f) |
---|
730 | { |
---|
731 | return LpSolverBase::Constr(-LpSolverBase::INF,f-e,0); |
---|
732 | } |
---|
733 | |
---|
734 | |
---|
735 | ///\e |
---|
736 | |
---|
737 | ///\relates LpSolverBase::Constr |
---|
738 | /// |
---|
739 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Value &e, |
---|
740 | const LpSolverBase::Expr &f) |
---|
741 | { |
---|
742 | return LpSolverBase::Constr(f,e); |
---|
743 | } |
---|
744 | |
---|
745 | |
---|
746 | ///\e |
---|
747 | |
---|
748 | ///\relates LpSolverBase::Constr |
---|
749 | /// |
---|
750 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Expr &e, |
---|
751 | const LpSolverBase::Value &f) |
---|
752 | { |
---|
753 | return LpSolverBase::Constr(f,e); |
---|
754 | } |
---|
755 | |
---|
756 | ///\e |
---|
757 | |
---|
758 | ///\relates LpSolverBase::Constr |
---|
759 | /// |
---|
760 | inline LpSolverBase::Constr operator==(const LpSolverBase::Expr &e, |
---|
761 | const LpSolverBase::Expr &f) |
---|
762 | { |
---|
763 | return LpSolverBase::Constr(0,e-f,0); |
---|
764 | } |
---|
765 | |
---|
766 | ///\e |
---|
767 | |
---|
768 | ///\relates LpSolverBase::Constr |
---|
769 | /// |
---|
770 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Value &n, |
---|
771 | const LpSolverBase::Constr&c) |
---|
772 | { |
---|
773 | LpSolverBase::Constr tmp(c); |
---|
774 | ///\todo Create an own exception type. |
---|
775 | if(!isnan(tmp.lowerBound())) throw LogicError(); |
---|
776 | else tmp.lowerBound()=n; |
---|
777 | return tmp; |
---|
778 | } |
---|
779 | ///\e |
---|
780 | |
---|
781 | ///\relates LpSolverBase::Constr |
---|
782 | /// |
---|
783 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Constr& c, |
---|
784 | const LpSolverBase::Value &n) |
---|
785 | { |
---|
786 | LpSolverBase::Constr tmp(c); |
---|
787 | ///\todo Create an own exception type. |
---|
788 | if(!isnan(tmp.upperBound())) throw LogicError(); |
---|
789 | else tmp.upperBound()=n; |
---|
790 | return tmp; |
---|
791 | } |
---|
792 | |
---|
793 | ///\e |
---|
794 | |
---|
795 | ///\relates LpSolverBase::Constr |
---|
796 | /// |
---|
797 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Value &n, |
---|
798 | const LpSolverBase::Constr&c) |
---|
799 | { |
---|
800 | LpSolverBase::Constr tmp(c); |
---|
801 | ///\todo Create an own exception type. |
---|
802 | if(!isnan(tmp.upperBound())) throw LogicError(); |
---|
803 | else tmp.upperBound()=n; |
---|
804 | return tmp; |
---|
805 | } |
---|
806 | ///\e |
---|
807 | |
---|
808 | ///\relates LpSolverBase::Constr |
---|
809 | /// |
---|
810 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Constr& c, |
---|
811 | const LpSolverBase::Value &n) |
---|
812 | { |
---|
813 | LpSolverBase::Constr tmp(c); |
---|
814 | ///\todo Create an own exception type. |
---|
815 | if(!isnan(tmp.lowerBound())) throw LogicError(); |
---|
816 | else tmp.lowerBound()=n; |
---|
817 | return tmp; |
---|
818 | } |
---|
819 | |
---|
820 | |
---|
821 | } //namespace lemon |
---|
822 | |
---|
823 | #endif //LEMON_LP_BASE_H |
---|