/* -*- mode: C++; indent-tabs-mode: nil; -*-

  *

  * This file is a part of LEMON, a generic C++ optimization library.

  *

  * Copyright (C) 2003-2009

  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport

  * (Egervary Research Group on Combinatorial Optimization, EGRES).

  *

  * Permission to use, modify and distribute this software is granted

  * provided that this copyright notice appears in all copies. For

  * precise terms see the accompanying LICENSE file.

  *

  * This software is provided "AS IS" with no warranty of any kind,

  * express or implied, and with no claim as to its suitability for any

  * purpose.

  *

  */

 #include <sstream>

 #include <lemon/lp_skeleton.h>

 #include "test_tools.h"

 #include <lemon/tolerance.h>

 #ifdef HAVE_CONFIG_H

 #include <lemon/config.h>

 #endif

 #ifdef HAVE_GLPK

 #include <lemon/glpk.h>

 #endif

 #ifdef HAVE_CPLEX

 #include <lemon/cplex.h>

 #endif

 #ifdef HAVE_SOPLEX

 #include <lemon/soplex.h>

 #endif

 #ifdef HAVE_CLP

 #include <lemon/clp.h>

 #endif

 using namespace lemon;

 void lpTest(LpSolver& lp)

 {

   typedef LpSolver LP;

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

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

   lp.addColSet(x);

   lp.colLowerBound(x,1);

   lp.colUpperBound(x,1);

   lp.colBounds(x,1,2);

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

   lp.addColSet(y);

   lp.colLowerBound(y,1);

   lp.colUpperBound(y,1);

   lp.colBounds(y,1,2);

   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.colLowerBound(z,1);

   lp.colUpperBound(z,1);

   lp.colBounds(z,1,2);

   {

     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=12;

     e[p1]+=2;

     *e+=12;

     e[p1]-=2;

     *e-=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=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]);

     std::ostringstream buf;

     e=((p1+p2)+(p1-0.99*p2));

     //e.prettyPrint(std::cout);

     //(e<=2).prettyPrint(std::cout);

     double tolerance=0.001;

     e.simplify(tolerance);

     buf << "Coeff. of p2 should be 0.01";

     check(e[p2]>0, buf.str());

     tolerance=0.02;

     e.simplify(tolerance);

     buf << "Coeff. of p2 should be 0";

     check(const_cast<const LpSolver::Expr&>(e)[p2]==0, buf.str());

     //Test for clone/new

     LP* lpnew = lp.newSolver();

     LP* lpclone = lp.cloneSolver();

     delete lpnew;

     delete lpclone;

   }

   {

     LP::DualExpr e,f,g;

     LP::Row p1 = INVALID, p2 = INVALID, p3 = INVALID,

       p4 = INVALID, p5 = INVALID;

     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 solveAndCheck(LpSolver& lp, LpSolver::ProblemType stat,

                    double exp_opt) {

   using std::string;

   lp.solve();

   std::ostringstream buf;

   buf << "PrimalType should be: " << int(stat) << int(lp.primalType());

   check(lp.primalType()==stat, buf.str());

   if (stat ==  LpSolver::OPTIMAL) {

     std::ostringstream sbuf;

     sbuf << "Wrong optimal value (" << lp.primal() <<") with "

          << lp.solverName() <<"\n     the right optimum is " << exp_opt;

     check(std::abs(lp.primal()-exp_opt) < 1e-3, sbuf.str());

   }

 }

 void aTest(LpSolver & lp)

 {

   typedef LpSolver LP;

  //The following example is very simple

   typedef LpSolver::Row Row;

   typedef LpSolver::Col Col;

   Col x1 = lp.addCol();

   Col x2 = lp.addCol();

   //Constraints

   Row upright=lp.addRow(x1+2*x2 <=1);

   lp.addRow(x1+x2 >=-1);

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

   lp.addRow(x1-x2 >=-1);

   //Nonnegativity of the variables

   lp.colLowerBound(x1, 0);

   lp.colLowerBound(x2, 0);

   //Objective function

   lp.obj(x1+x2);

   lp.sense(lp.MAX);

   //Testing the problem retrieving routines

   check(lp.objCoeff(x1)==1,"First term should be 1 in the obj function!");

   check(lp.sense() == lp.MAX,"This is a maximization!");

   check(lp.coeff(upright,x1)==1,"The coefficient in question is 1!");

   check(lp.colLowerBound(x1)==0,

         "The lower bound for variable x1 should be 0.");

   check(lp.colUpperBound(x1)==LpSolver::INF,

         "The upper bound for variable x1 should be infty.");

   check(lp.rowLowerBound(upright) == -LpSolver::INF,

         "The lower bound for the first row should be -infty.");

   check(lp.rowUpperBound(upright)==1,

         "The upper bound for the first row should be 1.");

   LpSolver::Expr e = lp.row(upright);

   check(e[x1] == 1, "The first coefficient should 1.");

   check(e[x2] == 2, "The second coefficient should 1.");

   lp.row(upright, x1+x2 <=1);

   e = lp.row(upright);

   check(e[x1] == 1, "The first coefficient should 1.");

   check(e[x2] == 1, "The second coefficient should 1.");

   LpSolver::DualExpr de = lp.col(x1);

   check(  de[upright] == 1, "The first coefficient should 1.");

   LpSolver* clp = lp.cloneSolver();

   //Testing the problem retrieving routines

   check(clp->objCoeff(x1)==1,"First term should be 1 in the obj function!");

   check(clp->sense() == clp->MAX,"This is a maximization!");

   check(clp->coeff(upright,x1)==1,"The coefficient in question is 1!");

   //  std::cout<<lp.colLowerBound(x1)<<std::endl;

   check(clp->colLowerBound(x1)==0,

         "The lower bound for variable x1 should be 0.");

   check(clp->colUpperBound(x1)==LpSolver::INF,

         "The upper bound for variable x1 should be infty.");

   check(lp.rowLowerBound(upright)==-LpSolver::INF,

         "The lower bound for the first row should be -infty.");

   check(lp.rowUpperBound(upright)==1,

         "The upper bound for the first row should be 1.");

   e = clp->row(upright);

   check(e[x1] == 1, "The first coefficient should 1.");

   check(e[x2] == 1, "The second coefficient should 1.");

   de = clp->col(x1);

   check(de[upright] == 1, "The first coefficient should 1.");

   delete clp;

   //Maximization of x1+x2

   //over the triangle with vertices (0,0) (0,1) (1,0)

   double expected_opt=1;

   solveAndCheck(lp, LpSolver::OPTIMAL, expected_opt);

   //Minimization

   lp.sense(lp.MIN);

   expected_opt=0;

   solveAndCheck(lp, LpSolver::OPTIMAL, expected_opt);

   //Vertex (-1,0) instead of (0,0)

   lp.colLowerBound(x1, -LpSolver::INF);

   expected_opt=-1;

   solveAndCheck(lp, LpSolver::OPTIMAL, expected_opt);

   //Erase one constraint and return to maximization

   lp.erase(upright);

   lp.sense(lp.MAX);

   expected_opt=LpSolver::INF;

   solveAndCheck(lp, LpSolver::UNBOUNDED, expected_opt);

   //Infeasibilty

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

   solveAndCheck(lp, LpSolver::INFEASIBLE, expected_opt);

 }

 template<class LP>

 void cloneTest()

 {

   //Test for clone/new

   LP* lp = new LP();

   LP* lpnew = lp->newSolver();

   LP* lpclone = lp->cloneSolver();

   delete lp;

   delete lpnew;

   delete lpclone;

 }

 int main()

 {

   LpSkeleton lp_skel;

   lpTest(lp_skel);

 #ifdef HAVE_GLPK

   {

     GlpkLp lp_glpk1,lp_glpk2;

     lpTest(lp_glpk1);

     aTest(lp_glpk2);

     cloneTest<GlpkLp>();

   }

 #endif

 #ifdef HAVE_CPLEX

   try {

     CplexLp lp_cplex1,lp_cplex2;

     lpTest(lp_cplex1);

     aTest(lp_cplex2);

     cloneTest<CplexLp>();

   } catch (CplexEnv::LicenseError& error) {

     check(false, error.what());

   }

 #endif

 #ifdef HAVE_SOPLEX

   {

     SoplexLp lp_soplex1,lp_soplex2;

     lpTest(lp_soplex1);

     aTest(lp_soplex2);

     cloneTest<SoplexLp>();

   }

 #endif

 #ifdef HAVE_CLP

   {

     ClpLp lp_clp1,lp_clp2;

     lpTest(lp_clp1);

     aTest(lp_clp2);

     cloneTest<ClpLp>();

   }

 #endif

   return 0;

 }