#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+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;

}