1 | /* -*- C++ -*- |
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2 | * |
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3 | * This file is a part of LEMON, a generic C++ optimization library |
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4 | * |
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5 | * Copyright (C) 2003-2006 |
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6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
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7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
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8 | * |
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9 | * Permission to use, modify and distribute this software is granted |
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10 | * provided that this copyright notice appears in all copies. For |
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11 | * precise terms see the accompanying LICENSE file. |
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12 | * |
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13 | * This software is provided "AS IS" with no warranty of any kind, |
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14 | * express or implied, and with no claim as to its suitability for any |
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15 | * purpose. |
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16 | * |
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17 | */ |
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18 | |
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19 | #include <sstream> |
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20 | #include <lemon/lp_skeleton.h> |
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21 | #include "test_tools.h" |
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22 | #include <lemon/tolerance.h> |
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23 | |
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24 | #ifdef HAVE_CONFIG_H |
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25 | #include <config.h> |
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26 | #endif |
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27 | |
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28 | #ifdef HAVE_GLPK |
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29 | #include <lemon/lp_glpk.h> |
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30 | #endif |
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31 | |
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32 | #ifdef HAVE_CPLEX |
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33 | #include <lemon/lp_cplex.h> |
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34 | #endif |
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35 | |
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36 | // #ifdef HAVE_SOPLEX |
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37 | // #include <lemon/lp_soplex.h> |
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38 | // #endif |
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39 | |
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40 | using namespace lemon; |
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41 | |
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42 | void lpTest(LpSolverBase & lp) |
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43 | { |
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44 | |
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45 | |
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46 | |
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47 | typedef LpSolverBase LP; |
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48 | |
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49 | std::vector<LP::Col> x(10); |
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50 | // for(int i=0;i<10;i++) x.push_back(lp.addCol()); |
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51 | lp.addColSet(x); |
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52 | lp.colLowerBound(x,1); |
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53 | lp.colUpperBound(x,1); |
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54 | lp.colBounds(x,1,2); |
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55 | #ifndef GYORSITAS |
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56 | |
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57 | std::vector<LP::Col> y(10); |
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58 | lp.addColSet(y); |
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59 | |
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60 | lp.colLowerBound(y,1); |
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61 | lp.colUpperBound(y,1); |
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62 | lp.colBounds(y,1,2); |
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63 | |
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64 | std::map<int,LP::Col> z; |
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65 | |
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66 | z.insert(std::make_pair(12,INVALID)); |
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67 | z.insert(std::make_pair(2,INVALID)); |
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68 | z.insert(std::make_pair(7,INVALID)); |
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69 | z.insert(std::make_pair(5,INVALID)); |
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70 | |
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71 | lp.addColSet(z); |
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72 | |
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73 | lp.colLowerBound(z,1); |
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74 | lp.colUpperBound(z,1); |
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75 | lp.colBounds(z,1,2); |
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76 | |
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77 | { |
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78 | LP::Expr e,f,g; |
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79 | LP::Col p1,p2,p3,p4,p5; |
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80 | LP::Constr c; |
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81 | |
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82 | p1=lp.addCol(); |
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83 | p2=lp.addCol(); |
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84 | p3=lp.addCol(); |
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85 | p4=lp.addCol(); |
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86 | p5=lp.addCol(); |
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87 | |
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88 | e[p1]=2; |
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89 | e.constComp()=12; |
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90 | e[p1]+=2; |
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91 | e.constComp()+=12; |
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92 | e[p1]-=2; |
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93 | e.constComp()-=12; |
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94 | |
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95 | e=2; |
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96 | e=2.2; |
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97 | e=p1; |
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98 | e=f; |
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99 | |
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100 | e+=2; |
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101 | e+=2.2; |
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102 | e+=p1; |
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103 | e+=f; |
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104 | |
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105 | e-=2; |
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106 | e-=2.2; |
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107 | e-=p1; |
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108 | e-=f; |
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109 | |
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110 | e*=2; |
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111 | e*=2.2; |
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112 | e/=2; |
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113 | e/=2.2; |
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114 | |
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115 | e=((p1+p2)+(p1-p2)+(p1+12)+(12+p1)+(p1-12)+(12-p1)+ |
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116 | (f+12)+(12+f)+(p1+f)+(f+p1)+(f+g)+ |
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117 | (f-12)+(12-f)+(p1-f)+(f-p1)+(f-g)+ |
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118 | 2.2*f+f*2.2+f/2.2+ |
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119 | 2*f+f*2+f/2+ |
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120 | 2.2*p1+p1*2.2+p1/2.2+ |
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121 | 2*p1+p1*2+p1/2 |
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122 | ); |
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123 | |
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124 | |
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125 | c = (e <= f ); |
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126 | c = (e <= 2.2); |
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127 | c = (e <= 2 ); |
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128 | c = (e <= p1 ); |
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129 | c = (2.2<= f ); |
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130 | c = (2 <= f ); |
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131 | c = (p1 <= f ); |
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132 | c = (p1 <= p2 ); |
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133 | c = (p1 <= 2.2); |
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134 | c = (p1 <= 2 ); |
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135 | c = (2.2<= p2 ); |
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136 | c = (2 <= p2 ); |
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137 | |
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138 | c = (e >= f ); |
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139 | c = (e >= 2.2); |
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140 | c = (e >= 2 ); |
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141 | c = (e >= p1 ); |
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142 | c = (2.2>= f ); |
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143 | c = (2 >= f ); |
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144 | c = (p1 >= f ); |
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145 | c = (p1 >= p2 ); |
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146 | c = (p1 >= 2.2); |
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147 | c = (p1 >= 2 ); |
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148 | c = (2.2>= p2 ); |
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149 | c = (2 >= p2 ); |
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150 | |
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151 | c = (e == f ); |
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152 | c = (e == 2.2); |
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153 | c = (e == 2 ); |
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154 | c = (e == p1 ); |
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155 | c = (2.2== f ); |
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156 | c = (2 == f ); |
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157 | c = (p1 == f ); |
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158 | //c = (p1 == p2 ); |
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159 | c = (p1 == 2.2); |
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160 | c = (p1 == 2 ); |
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161 | c = (2.2== p2 ); |
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162 | c = (2 == p2 ); |
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163 | |
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164 | c = (2 <= e <= 3); |
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165 | c = (2 <= p1<= 3); |
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166 | |
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167 | c = (2 >= e >= 3); |
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168 | c = (2 >= p1>= 3); |
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169 | |
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170 | e[x[3]]=2; |
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171 | e[x[3]]=4; |
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172 | e[x[3]]=1; |
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173 | e.constComp()=12; |
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174 | |
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175 | lp.addRow(LP::INF,e,23); |
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176 | lp.addRow(LP::INF,3.0*(x[1]+x[2]/2)-x[3],23); |
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177 | lp.addRow(LP::INF,3.0*(x[1]+x[2]*2-5*x[3]+12-x[4]/3)+2*x[4]-4,23); |
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178 | |
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179 | lp.addRow(x[1]+x[3]<=x[5]-3); |
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180 | lp.addRow(-7<=x[1]+x[3]-12<=3); |
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181 | lp.addRow(x[1]<=x[5]); |
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182 | |
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183 | std::ostringstream buf; |
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184 | |
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185 | |
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186 | //Checking the simplify function |
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187 | |
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188 | // //How to check the simplify function? A map gives no information |
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189 | // //on the question whether a given key is or is not stored in it, or |
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190 | // //it does? |
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191 | // Yes, it does, using the find() function. |
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192 | e=((p1+p2)+(p1-p2)); |
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193 | e.simplify(); |
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194 | buf << "Coeff. of p2 should be 0"; |
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195 | // std::cout<<e[p1]<<e[p2]<<e[p3]<<std::endl; |
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196 | check(e.find(p2)==e.end(), buf.str()); |
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197 | |
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198 | |
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199 | |
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200 | |
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201 | e=((p1+p2)+(p1-0.99*p2)); |
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202 | double tolerance=0.001; |
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203 | e.simplify(tolerance); |
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204 | buf << "Coeff. of p2 should be 0.01"; |
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205 | check(e[p2]>0, buf.str()); |
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206 | |
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207 | tolerance=0.02; |
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208 | e.simplify(tolerance); |
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209 | buf << "Coeff. of p2 should be 0"; |
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210 | check(e.find(p2)==e.end(), buf.str()); |
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211 | |
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212 | |
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213 | } |
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214 | |
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215 | { |
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216 | LP::DualExpr e,f,g; |
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217 | LP::Row p1,p2,p3,p4,p5; |
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218 | |
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219 | e[p1]=2; |
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220 | e[p1]+=2; |
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221 | e[p1]-=2; |
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222 | |
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223 | e=p1; |
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224 | e=f; |
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225 | |
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226 | e+=p1; |
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227 | e+=f; |
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228 | |
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229 | e-=p1; |
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230 | e-=f; |
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231 | |
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232 | e*=2; |
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233 | e*=2.2; |
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234 | e/=2; |
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235 | e/=2.2; |
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236 | |
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237 | e=((p1+p2)+(p1-p2)+ |
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238 | (p1+f)+(f+p1)+(f+g)+ |
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239 | (p1-f)+(f-p1)+(f-g)+ |
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240 | 2.2*f+f*2.2+f/2.2+ |
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241 | 2*f+f*2+f/2+ |
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242 | 2.2*p1+p1*2.2+p1/2.2+ |
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243 | 2*p1+p1*2+p1/2 |
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244 | ); |
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245 | } |
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246 | |
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247 | #endif |
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248 | } |
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249 | |
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250 | void solveAndCheck(LpSolverBase& lp, LpSolverBase::SolutionStatus stat, |
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251 | double exp_opt) { |
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252 | using std::string; |
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253 | lp.solve(); |
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254 | //int decimal,sign; |
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255 | std::ostringstream buf; |
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256 | buf << "Primalstatus should be: " << int(stat); |
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257 | |
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258 | // itoa(stat,buf1, 10); |
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259 | check(lp.primalStatus()==stat, buf.str()); |
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260 | |
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261 | if (stat == LpSolverBase::OPTIMAL) { |
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262 | std::ostringstream buf; |
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263 | buf << "Wrong optimal value: the right optimum is " << exp_opt; |
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264 | check(std::abs(lp.primalValue()-exp_opt) < 1e-3, buf.str()); |
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265 | //+ecvt(exp_opt,2) |
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266 | } |
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267 | } |
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268 | |
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269 | void aTest(LpSolverBase & lp) |
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270 | { |
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271 | typedef LpSolverBase LP; |
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272 | |
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273 | //The following example is very simple |
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274 | |
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275 | typedef LpSolverBase::Row Row; |
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276 | typedef LpSolverBase::Col Col; |
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277 | |
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278 | |
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279 | Col x1 = lp.addCol(); |
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280 | Col x2 = lp.addCol(); |
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281 | |
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282 | |
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283 | //Constraints |
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284 | Row upright=lp.addRow(x1+x2 <=1); |
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285 | lp.addRow(x1+x2 >=-1); |
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286 | lp.addRow(x1-x2 <=1); |
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287 | lp.addRow(x1-x2 >=-1); |
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288 | //Nonnegativity of the variables |
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289 | lp.colLowerBound(x1, 0); |
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290 | lp.colLowerBound(x2, 0); |
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291 | //Objective function |
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292 | lp.setObj(x1+x2); |
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293 | |
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294 | lp.max(); |
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295 | |
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296 | //Maximization of x1+x2 |
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297 | //over the triangle with vertices (0,0) (0,1) (1,0) |
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298 | double expected_opt=1; |
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299 | solveAndCheck(lp, LpSolverBase::OPTIMAL, expected_opt); |
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300 | |
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301 | //Minimization |
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302 | lp.min(); |
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303 | expected_opt=0; |
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304 | solveAndCheck(lp, LpSolverBase::OPTIMAL, expected_opt); |
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305 | |
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306 | //Vertex (-1,0) instead of (0,0) |
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307 | lp.colLowerBound(x1, -LpSolverBase::INF); |
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308 | expected_opt=-1; |
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309 | solveAndCheck(lp, LpSolverBase::OPTIMAL, expected_opt); |
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310 | |
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311 | //Erase one constraint and return to maximization |
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312 | lp.eraseRow(upright); |
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313 | lp.max(); |
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314 | expected_opt=LpSolverBase::INF; |
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315 | solveAndCheck(lp, LpSolverBase::INFINITE, expected_opt); |
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316 | |
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317 | //Infeasibilty |
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318 | lp.addRow(x1+x2 <=-2); |
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319 | solveAndCheck(lp, LpSolverBase::INFEASIBLE, expected_opt); |
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320 | |
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321 | //Change problem and forget to solve |
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322 | lp.min(); |
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323 | check(lp.primalStatus()==LpSolverBase::UNDEFINED,"Primalstatus should be UNDEFINED"); |
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324 | |
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325 | // lp.solve(); |
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326 | // if (lp.primalStatus()==LpSolverBase::OPTIMAL){ |
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327 | // std::cout<< "Z = "<<lp.primalValue() |
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328 | // << " (error = " << lp.primalValue()-expected_opt |
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329 | // << "); x1 = "<<lp.primal(x1) |
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330 | // << "; x2 = "<<lp.primal(x2) |
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331 | // <<std::endl; |
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332 | |
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333 | // } |
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334 | // else{ |
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335 | // std::cout<<lp.primalStatus()<<std::endl; |
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336 | // std::cout<<"Optimal solution not found!"<<std::endl; |
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337 | // } |
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338 | |
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339 | |
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340 | |
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341 | } |
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342 | |
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343 | |
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344 | int main() |
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345 | { |
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346 | LpSkeleton lp_skel; |
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347 | lpTest(lp_skel); |
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348 | |
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349 | #ifdef HAVE_GLPK |
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350 | LpGlpk lp_glpk1,lp_glpk2; |
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351 | lpTest(lp_glpk1); |
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352 | aTest(lp_glpk2); |
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353 | #endif |
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354 | |
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355 | #ifdef HAVE_CPLEX |
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356 | LpCplex lp_cplex1,lp_cplex2; |
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357 | lpTest(lp_cplex1); |
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358 | aTest(lp_cplex2); |
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359 | #endif |
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360 | |
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361 | // #ifdef HAVE_SOPLEX |
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362 | // LpSoplex lp_soplex1,lp_soplex2; |
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363 | // lpTest(lp_soplex1); |
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364 | // aTest(lp_soplex2); |
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365 | // #endif |
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366 | |
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367 | return 0; |
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368 | } |
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