#include<lemon/lp_skeleton.h>

 #include "test_tools.h"

 #ifdef HAVE_CONFIG_H

 #include <config.h>

 #endif

 #ifdef HAVE_GLPK

 #include <lemon/lp_glpk.h>

 #endif

 #ifdef HAVE_CPLEX

 #include <lemon/lp_cplex.h>

 #endif

 using namespace lemon;

 void lpTest(LpSolverBase & lp)

 {

   typedef LpSolverBase LP;

   std::vector<LP::Col> x(10);

   //  for(int i=0;i<10;i++) x.push_back(lp.addCol());

   lp.addColSet(x);

   std::vector<LP::Col> y(10);

   lp.addColSet(y);

   std::map<int,LP::Col> z;

   z.insert(std::make_pair(12,INVALID));

   z.insert(std::make_pair(2,INVALID));

   z.insert(std::make_pair(7,INVALID));

   z.insert(std::make_pair(5,INVALID));

   lp.addColSet(z);

   {

     LP::Expr e,f,g;

     LP::Col p1,p2,p3,p4,p5;

     LP::Constr c;

     p1=lp.addCol();

     p2=lp.addCol();

     p3=lp.addCol();

     p4=lp.addCol();

     p5=lp.addCol();

     e[p1]=2;

     e.constComp()=12;

     e[p1]+=2;

     e.constComp()+=12;

     e[p1]-=2;

     e.constComp()-=12;

     e=2;

     e=2.2;

     e=p1;

     e=f;

     e+=2;

     e+=2.2;

     e+=p1;

     e+=f;

     e-=2;

     e-=2.2;

     e-=p1;

     e-=f;

     e*=2;

     e*=2.2;

     e/=2;

     e/=2.2;

     e=((p1+p2)+(p1-p2)+(p1+12)+(12+p1)+(p1-12)+(12-p1)+

        (f+12)+(12+f)+(p1+f)+(f+p1)+(f+g)+

        (f-12)+(12-f)+(p1-f)+(f-p1)+(f-g)+

        2.2*f+f*2.2+f/2.2+

        2*f+f*2+f/2+

        2.2*p1+p1*2.2+p1/2.2+

        2*p1+p1*2+p1/2

        );

     c = (e  <= f  );

     c = (e  <= 2.2);

     c = (e  <= 2  );

     c = (e  <= p1 );

     c = (2.2<= f  );

     c = (2  <= f  );

     c = (p1 <= f  );

     c = (p1 <= p2 );

     c = (p1 <= 2.2);

     c = (p1 <= 2  );

     c = (2.2<= p2 );

     c = (2  <= p2 );

     c = (e  >= f  );

     c = (e  >= 2.2);

     c = (e  >= 2  );

     c = (e  >= p1 );

     c = (2.2>= f  );

     c = (2  >= f  );

     c = (p1 >= f  );

     c = (p1 >= p2 );

     c = (p1 >= 2.2);

     c = (p1 >= 2  );

     c = (2.2>= p2 );

     c = (2  >= p2 );

     c = (e  == f  );

     c = (e  == 2.2);

     c = (e  == 2  );

     c = (e  == p1 );

     c = (2.2== f  );

     c = (2  == f  );

     c = (p1 == f  );

     //c = (p1 == p2 );

     c = (p1 == 2.2);

     c = (p1 == 2  );

     c = (2.2== p2 );

     c = (2  == p2 );

     c = (2 <= e <= 3);

     c = (2 <= p1<= 3);

     c = (2 >= e >= 3);

     c = (2 >= p1>= 3);

     e[x[3]]=2;

     e[x[3]]=4;

     e[x[3]]=1;

     e.constComp()=12;

     lp.addRow(LP::INF,e,23);

     lp.addRow(LP::INF,3.0*(x[1]+x[2]/2)-x[3],23);

     lp.addRow(LP::INF,3.0*(x[1]+x[2]*2-5*x[3]+12-x[4]/3)+2*x[4]-4,23);

     lp.addRow(x[1]+x[3]<=x[5]-3);

     lp.addRow(-7<=x[1]+x[3]-12<=3);

     lp.addRow(x[1]<=x[5]);

   }

   {

     LP::DualExpr e,f,g;

     LP::Row p1,p2,p3,p4,p5;

     e[p1]=2;

     e[p1]+=2;

     e[p1]-=2;

     e=p1;

     e=f;

     e+=p1;

     e+=f;

     e-=p1;

     e-=f;

     e*=2;

     e*=2.2;

     e/=2;

     e/=2.2;

     e=((p1+p2)+(p1-p2)+(p1+12)+(12+p1)+(p1-12)+(12-p1)+

        (p1+f)+(f+p1)+(f+g)+

        (p1-f)+(f-p1)+(f-g)+

        2.2*f+f*2.2+f/2.2+

        2*f+f*2+f/2+

        2.2*p1+p1*2.2+p1/2.2+

        2*p1+p1*2+p1/2

        );

   }

 }

 void aTest(LpSolverBase & lp)

 {

   typedef LpSolverBase LP;

  //The following example is taken from the book by Gáspár and Temesi, page 39.

   typedef LpSolverBase::Row Row;

   typedef LpSolverBase::Col Col;

   Col x1 = lp.addCol();

   Col x2 = lp.addCol();

   //Constraints

   lp.addRow(3*x1+2*x2 >=6);  

   lp.addRow(-1*x1+x2<=4);  

   lp.addRow(5*x1+8*x2<=40);  

   lp.addRow(x1-2*x2<=4);  

   //Nonnegativity of the variables

   lp.colLowerBound(x1, 0);

   lp.colLowerBound(x2, 0);

   //Objective function

   lp.setObj(2*x1+x2);

   lp.max();

   lp.solve();

   double opt=122.0/9.0;

   if (lp.primalStatus()==LpSolverBase::OPTIMAL){

     std::cout<< "Z = "<<lp.primalValue()

 	     << " (error = " << lp.primalValue()-opt

 	     << "); x1 = "<<lp.primal(x1)

 	     << "; x2 = "<<lp.primal(x2)

 	     <<std::endl;

   }

   else{

     std::cout<<"Optimal solution not found!"<<std::endl;

   }

   check(lp.primalStatus()==LpSolverBase::OPTIMAL,"Primalstatus should be OPTIMAL");

   check(std::abs(lp.primalValue()-opt)<1e-3,

 	"Wrong optimal value: the right optimum is 122/9 (13.555555...)");

 }

 int main() 

 {

   LpSkeleton lp_skel;

   lpTest(lp_skel);

 #ifdef HAVE_GLPK

   LpGlpk lp_glpk1,lp_glpk2;

   lpTest(lp_glpk1);

   aTest(lp_glpk2);

 #endif

 #ifdef HAVE_CPLEX

 //  LpCplex lp_cplex;

 //  lpTest(lp_cplex);

 #endif

   return 0;

 }