1 | #include<lemon/lp_skeleton.h> |
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2 | #include "test_tools.h" |
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3 | |
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4 | #ifdef HAVE_CONFIG_H |
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5 | #include <config.h> |
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6 | #endif |
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7 | |
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8 | #ifdef HAVE_GLPK |
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9 | #include <lemon/lp_glpk.h> |
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10 | #endif |
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11 | |
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12 | #ifdef HAVE_CPLEX |
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13 | #include <lemon/lp_cplex.h> |
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14 | #endif |
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15 | |
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16 | using namespace lemon; |
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17 | |
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18 | void lpTest(LpSolverBase & lp) |
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19 | { |
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20 | typedef LpSolverBase LP; |
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21 | |
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22 | std::vector<LP::Col> x(10); |
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23 | // for(int i=0;i<10;i++) x.push_back(lp.addCol()); |
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24 | lp.addColSet(x); |
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25 | |
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26 | std::vector<LP::Col> y(10); |
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27 | lp.addColSet(y); |
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28 | |
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29 | std::map<int,LP::Col> z; |
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30 | |
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31 | z.insert(std::make_pair(12,INVALID)); |
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32 | z.insert(std::make_pair(2,INVALID)); |
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33 | z.insert(std::make_pair(7,INVALID)); |
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34 | z.insert(std::make_pair(5,INVALID)); |
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35 | |
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36 | lp.addColSet(z); |
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37 | |
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38 | { |
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39 | LP::Expr e,f,g; |
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40 | LP::Col p1,p2,p3,p4,p5; |
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41 | LP::Constr c; |
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42 | |
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43 | e[p1]=2; |
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44 | e.constComp()=12; |
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45 | e[p1]+=2; |
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46 | e.constComp()+=12; |
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47 | e[p1]-=2; |
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48 | e.constComp()-=12; |
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49 | |
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50 | e=2; |
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51 | e=2.2; |
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52 | e=p1; |
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53 | e=f; |
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54 | |
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55 | e+=2; |
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56 | e+=2.2; |
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57 | e+=p1; |
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58 | e+=f; |
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59 | |
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60 | e-=2; |
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61 | e-=2.2; |
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62 | e-=p1; |
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63 | e-=f; |
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64 | |
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65 | e*=2; |
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66 | e*=2.2; |
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67 | e/=2; |
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68 | e/=2.2; |
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69 | |
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70 | e=((p1+p2)+(p1-p2)+(p1+12)+(12+p1)+(p1-12)+(12-p1)+ |
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71 | (f+12)+(12+f)+(p1+f)+(f+p1)+(f+g)+ |
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72 | (f-12)+(12-f)+(p1-f)+(f-p1)+(f-g)+ |
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73 | 2.2*f+f*2.2+f/2.2+ |
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74 | 2*f+f*2+f/2+ |
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75 | 2.2*p1+p1*2.2+p1/2.2+ |
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76 | 2*p1+p1*2+p1/2 |
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77 | ); |
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78 | |
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79 | |
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80 | c = (e <= f ); |
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81 | c = (e <= 2.2); |
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82 | c = (e <= 2 ); |
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83 | c = (e <= p1 ); |
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84 | c = (2.2<= f ); |
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85 | c = (2 <= f ); |
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86 | c = (p1 <= f ); |
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87 | c = (p1 <= p2 ); |
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88 | c = (p1 <= 2.2); |
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89 | c = (p1 <= 2 ); |
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90 | c = (2.2<= p2 ); |
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91 | c = (2 <= p2 ); |
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92 | |
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93 | c = (e >= f ); |
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94 | c = (e >= 2.2); |
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95 | c = (e >= 2 ); |
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96 | c = (e >= p1 ); |
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97 | c = (2.2>= f ); |
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98 | c = (2 >= f ); |
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99 | c = (p1 >= f ); |
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100 | c = (p1 >= p2 ); |
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101 | c = (p1 >= 2.2); |
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102 | c = (p1 >= 2 ); |
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103 | c = (2.2>= p2 ); |
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104 | c = (2 >= p2 ); |
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105 | |
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106 | c = (e == f ); |
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107 | c = (e == 2.2); |
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108 | c = (e == 2 ); |
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109 | c = (e == p1 ); |
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110 | c = (2.2== f ); |
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111 | c = (2 == f ); |
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112 | c = (p1 == f ); |
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113 | //c = (p1 == p2 ); |
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114 | c = (p1 == 2.2); |
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115 | c = (p1 == 2 ); |
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116 | c = (2.2== p2 ); |
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117 | c = (2 == p2 ); |
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118 | |
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119 | c = (2 <= e <= 3); |
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120 | c = (2 <= p1<= 3); |
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121 | |
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122 | c = (2 >= e >= 3); |
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123 | c = (2 >= p1>= 3); |
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124 | |
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125 | e[x[3]]=2; |
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126 | e[x[3]]=4; |
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127 | e[x[3]]=1; |
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128 | e.constComp()=12; |
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129 | |
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130 | lp.addRow(LP::INF,e,23); |
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131 | lp.addRow(LP::INF,3.0*(x[1]+x[2]/2)-x[3],23); |
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132 | 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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133 | |
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134 | lp.addRow(x[1]+x[3]<=x[5]-3); |
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135 | lp.addRow(-7<=x[1]+x[3]-12<=3); |
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136 | lp.addRow(x[1]<=x[5]); |
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137 | } |
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138 | |
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139 | { |
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140 | LP::DualExpr e,f,g; |
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141 | LP::Row p1,p2,p3,p4,p5; |
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142 | |
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143 | e[p1]=2; |
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144 | e[p1]+=2; |
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145 | e[p1]-=2; |
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146 | |
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147 | e=p1; |
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148 | e=f; |
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149 | |
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150 | e+=p1; |
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151 | e+=f; |
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152 | |
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153 | e-=p1; |
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154 | e-=f; |
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155 | |
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156 | e*=2; |
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157 | e*=2.2; |
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158 | e/=2; |
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159 | e/=2.2; |
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160 | |
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161 | e=((p1+p2)+(p1-p2)+(p1+12)+(12+p1)+(p1-12)+(12-p1)+ |
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162 | (p1+f)+(f+p1)+(f+g)+ |
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163 | (p1-f)+(f-p1)+(f-g)+ |
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164 | 2.2*f+f*2.2+f/2.2+ |
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165 | 2*f+f*2+f/2+ |
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166 | 2.2*p1+p1*2.2+p1/2.2+ |
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167 | 2*p1+p1*2+p1/2 |
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168 | ); |
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169 | } |
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170 | |
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171 | |
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172 | } |
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173 | |
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174 | void aTest(LpSolverBase & lp) |
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175 | { |
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176 | typedef LpSolverBase LP; |
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177 | |
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178 | //The following example is taken from the book by Gáspár and Temesi, page 39. |
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179 | |
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180 | typedef LpSolverBase::Row Row; |
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181 | typedef LpSolverBase::Col Col; |
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182 | |
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183 | |
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184 | Col x1 = lp.addCol(); |
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185 | Col x2 = lp.addCol(); |
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186 | |
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187 | |
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188 | //Constraints |
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189 | lp.addRow(3*x1+2*x2 >=6); |
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190 | lp.addRow(-1*x1+x2<=4); |
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191 | lp.addRow(5*x1+8*x2<=40); |
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192 | lp.addRow(x1-2*x2<=4); |
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193 | //Nonnegativity of the variables |
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194 | lp.colLowerBound(x1, 0); |
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195 | lp.colLowerBound(x2, 0); |
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196 | //Objective function |
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197 | lp.setObj(2*x1+x2); |
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198 | |
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199 | lp.max(); |
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200 | lp.solve(); |
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201 | |
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202 | |
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203 | if (lp.primalStatus()==LpSolverBase::OPTIMAL){ |
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204 | printf("Z = %g; x1 = %g; x2 = %g\n", |
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205 | lp.primalValue(), |
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206 | lp.primal(x1), lp.primal(x2)); |
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207 | } |
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208 | else{ |
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209 | std::cout<<"Optimal solution not found!"<<std::endl; |
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210 | } |
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211 | |
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212 | check(lp.primalStatus()==LpSolverBase::OPTIMAL,"Primalstatus should be OPTIMAL"); |
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213 | |
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214 | double opt=123/9; |
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215 | check(lp.primalValue()==opt,"The optimum value is 122/9"); |
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216 | |
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217 | |
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218 | } |
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219 | |
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220 | |
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221 | int main() |
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222 | { |
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223 | LpSkeleton lp_skel; |
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224 | lpTest(lp_skel); |
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225 | |
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226 | #ifdef HAVE_GLPK |
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227 | LpGlpk lp_glpk; |
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228 | lpTest(lp_glpk); |
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229 | aTest(lp_glpk); |
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230 | #endif |
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231 | |
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232 | #ifdef HAVE_CPLEX |
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233 | LpCplex lp_cplex; |
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234 | lpTest(lp_cplex); |
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235 | #endif |
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236 | |
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237 | return 0; |
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238 | } |
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