1 | #include"lp_solver_skeleton.h" |
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2 | #include"lp_glpk.h" |
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3 | #include<lemon/list_graph.h> |
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4 | |
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5 | using namespace lemon; |
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6 | |
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7 | void lpTest(LpSolverBase & lp) |
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8 | { |
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9 | typedef LpSolverBase LP; |
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10 | |
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11 | std::vector<LP::Col> x; |
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12 | for(int i=0;i<10;i++) x.push_back(lp.addCol()); |
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13 | |
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14 | std::vector<LP::Col> y(10); |
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15 | lp.addColSet(y); |
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16 | |
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17 | std::map<int,LP::Col> z; |
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18 | |
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19 | z.insert(std::make_pair(12,INVALID)); |
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20 | z.insert(std::make_pair(2,INVALID)); |
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21 | z.insert(std::make_pair(7,INVALID)); |
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22 | z.insert(std::make_pair(5,INVALID)); |
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23 | |
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24 | lp.addColSet(z); |
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25 | |
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26 | |
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27 | LP::Expr e,f,g; |
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28 | LP::Col p1,p2,p3,p4,p5; |
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29 | LP::Constr c; |
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30 | |
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31 | e[p1]=2; |
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32 | e.constComp()=12; |
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33 | e[p1]+=2; |
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34 | e.constComp()+=12; |
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35 | e[p1]-=2; |
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36 | e.constComp()-=12; |
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37 | |
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38 | e=2; |
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39 | e=2.2; |
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40 | e=p1; |
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41 | e=f; |
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42 | |
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43 | e+=2; |
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44 | e+=2.2; |
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45 | e+=p1; |
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46 | e+=f; |
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47 | |
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48 | e-=2; |
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49 | e-=2.2; |
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50 | e-=p1; |
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51 | e-=f; |
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52 | |
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53 | e*=2; |
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54 | e*=2.2; |
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55 | e/=2; |
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56 | e/=2.2; |
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57 | |
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58 | e=((p1+p2)+(p1-p2)+(p1+12)+(12+p1)+(p1-12)+(12-p1)+ |
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59 | (f+12)+(12+f)+(p1+f)+(f+p1)+(f+g)+ |
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60 | (f-12)+(12-f)+(p1-f)+(f-p1)+(f-g)+ |
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61 | 2.2*f+f*2.2+f/2.2+ |
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62 | 2*f+f*2+f/2+ |
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63 | 2.2*p1+p1*2.2+p1/2.2+ |
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64 | 2*p1+p1*2+p1/2 |
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65 | ); |
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66 | |
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67 | |
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68 | c = (e <= f ); |
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69 | c = (e <= 2.2); |
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70 | c = (e <= 2 ); |
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71 | c = (e <= p1 ); |
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72 | c = (2.2<= f ); |
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73 | c = (2 <= f ); |
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74 | c = (p1 <= f ); |
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75 | c = (p1 <= p2 ); |
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76 | c = (p1 <= 2.2); |
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77 | c = (p1 <= 2 ); |
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78 | c = (2.2<= p2 ); |
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79 | c = (2 <= p2 ); |
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80 | |
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81 | c = (e >= f ); |
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82 | c = (e >= 2.2); |
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83 | c = (e >= 2 ); |
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84 | c = (e >= p1 ); |
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85 | c = (2.2>= f ); |
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86 | c = (2 >= f ); |
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87 | c = (p1 >= f ); |
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88 | c = (p1 >= p2 ); |
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89 | c = (p1 >= 2.2); |
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90 | c = (p1 >= 2 ); |
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91 | c = (2.2>= p2 ); |
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92 | c = (2 >= p2 ); |
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93 | |
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94 | c = (e == f ); |
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95 | c = (e == 2.2); |
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96 | c = (e == 2 ); |
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97 | c = (e == p1 ); |
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98 | c = (2.2== f ); |
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99 | c = (2 == f ); |
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100 | c = (p1 == f ); |
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101 | //c = (p1 == p2 ); |
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102 | c = (p1 == 2.2); |
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103 | c = (p1 == 2 ); |
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104 | c = (2.2== p2 ); |
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105 | c = (2 == p2 ); |
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106 | |
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107 | c = (2 <= e <= 3); |
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108 | c = (2 <= p1<= 3); |
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109 | |
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110 | c = (2 >= e >= 3); |
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111 | c = (2 >= p1>= 3); |
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112 | |
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113 | e[x[3]]=2; |
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114 | e[x[3]]=4; |
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115 | e[x[3]]=1; |
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116 | e.constComp()=12; |
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117 | |
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118 | lp.addRow(LP::INF,e,23); |
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119 | lp.addRow(LP::INF,3.0*(p1+p2)-p3,23); |
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120 | lp.addRow(LP::INF,3.0*(x[1]+x[2]/2)-x[3],23); |
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121 | lp.addRow(LP::INF,3.0*(p1+p2*2-5*p3+12-p4/3)+2*p4-4,23); |
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122 | 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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123 | |
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124 | lp.addRow(x[1]+x[3]<=x[5]-3); |
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125 | lp.addRow(-7<=x[1]+x[3]-12<=3); |
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126 | //lp.addRow(x[1]<=x[5]); |
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127 | |
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128 | } |
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129 | |
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130 | |
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131 | template<class G,class C> |
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132 | double maxFlow(const G &g,const C &cap,typename G::Node s,typename G::Node t) |
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133 | { |
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134 | LpGlpk lp; |
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135 | |
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136 | typedef G Graph; |
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137 | typedef typename G::Node Node; |
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138 | typedef typename G::NodeIt NodeIt; |
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139 | typedef typename G::Edge Edge; |
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140 | typedef typename G::EdgeIt EdgeIt; |
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141 | typedef typename G::OutEdgeIt OutEdgeIt; |
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142 | typedef typename G::InEdgeIt InEdgeIt; |
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143 | |
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144 | typename G::EdgeMap<LpGlpk::Col> x(g); |
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145 | lp.addColSet(x); |
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146 | //for(EdgeIt e(g);e!=INVALID;++e) x[e]=lp.addCol(); |
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147 | |
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148 | for(EdgeIt e(g);e!=INVALID;++e) { |
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149 | lp.setColUpperBound(x[e],cap[e]); |
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150 | lp.setColLowerBound(x[e],0); |
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151 | } |
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152 | |
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153 | for(NodeIt n(g);n!=INVALID;++n) if(n!=s&&n!=t) { |
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154 | LpGlpk::Expr ex; |
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155 | for(InEdgeIt e(g,n);e!=INVALID;++e) ex+=x[e]; |
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156 | for(OutEdgeIt e(g,n);e!=INVALID;++e) ex-=x[e]; |
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157 | lp.addRow(0,ex,0); |
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158 | } |
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159 | { |
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160 | LpGlpk::Expr ex; |
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161 | for(InEdgeIt e(g,t);e!=INVALID;++e) ex+=x[e]; |
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162 | for(OutEdgeIt e(g,t);e!=INVALID;++e) ex-=x[e]; |
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163 | lp.setObj(ex); |
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164 | } |
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165 | |
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166 | lp.solve(); |
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167 | |
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168 | return 0; |
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169 | } |
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170 | |
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171 | int main() |
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172 | { |
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173 | LpSolverSkeleton lp_skel; |
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174 | LpGlpk lp_glpk; |
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175 | |
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176 | lpTest(lp_skel); |
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177 | lpTest(lp_glpk); |
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178 | |
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179 | ListGraph g; |
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180 | ListGraph::EdgeMap<double> cap(g); |
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181 | |
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182 | maxFlow(g,cap,ListGraph::NodeIt(g),ListGraph::NodeIt(g)); |
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183 | |
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184 | } |
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