diff -r 69928a704ffb -r 7afc121e0689 test/lp_test.cc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/lp_test.cc	Tue Dec 02 21:40:33 2008 +0100
@@ -0,0 +1,423 @@
+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2008
+ * 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/lp_glpk.h>
+#endif
+
+#ifdef HAVE_CPLEX
+#include <lemon/lp_cplex.h>
+#endif
+
+#ifdef HAVE_SOPLEX
+#include <lemon/lp_soplex.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);
+  lp.colLowerBound(x,1);
+  lp.colUpperBound(x,1);
+  lp.colBounds(x,1,2);
+#ifndef GYORSITAS
+
+  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.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]);
+
+    std::ostringstream buf;
+
+
+    //Checking the simplify function
+
+//     //How to check the simplify function? A map gives no information
+//     //on the question whether a given key is or is not stored in it, or
+//     //it does?
+//   Yes, it does, using the find() function.
+    e=((p1+p2)+(p1-p2));
+    e.simplify();
+    buf << "Coeff. of p2 should be 0";
+    //    std::cout<<e[p1]<<e[p2]<<e[p3]<<std::endl;
+    check(e.find(p2)==e.end(), buf.str());
+
+
+
+
+    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(e.find(p2)==e.end(), buf.str());
+
+
+  }
+
+  {
+    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
+       );
+  }
+
+#endif
+}
+
+void solveAndCheck(LpSolverBase& lp, LpSolverBase::SolutionStatus stat,
+                   double exp_opt) {
+  using std::string;
+  lp.solve();
+  //int decimal,sign;
+  std::ostringstream buf;
+  buf << "Primalstatus should be: " << int(stat);
+
+  //  itoa(stat,buf1, 10);
+  check(lp.primalStatus()==stat, buf.str());
+
+  if (stat ==  LpSolverBase::OPTIMAL) {
+    std::ostringstream sbuf;
+    sbuf << "Wrong optimal value: the right optimum is " << exp_opt;
+    check(std::abs(lp.primalValue()-exp_opt) < 1e-3, sbuf.str());
+    //+ecvt(exp_opt,2)
+  }
+}
+
+void aTest(LpSolverBase & lp)
+{
+  typedef LpSolverBase LP;
+
+ //The following example is very simple
+
+  typedef LpSolverBase::Row Row;
+  typedef LpSolverBase::Col Col;
+
+
+  Col x1 = lp.addCol();
+  Col x2 = lp.addCol();
+
+
+  //Constraints
+  Row upright=lp.addRow(x1+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.max();
+
+  //Testing the problem retrieving routines
+  check(lp.objCoeff(x1)==1,"First term should be 1 in the obj function!");
+  check(lp.isMax(),"This is a maximization!");
+  check(lp.coeff(upright,x1)==1,"The coefficient in question is 1!");
+  //  std::cout<<lp.colLowerBound(x1)<<std::endl;
+  check(  lp.colLowerBound(x1)==0,
+          "The lower bound for variable x1 should be 0.");
+  check(  lp.colUpperBound(x1)==LpSolverBase::INF,
+          "The upper bound for variable x1 should be infty.");
+  LpSolverBase::Value lb,ub;
+  lp.getRowBounds(upright,lb,ub);
+  check(  lb==-LpSolverBase::INF,
+          "The lower bound for the first row should be -infty.");
+  check(  ub==1,"The upper bound for the first row should be 1.");
+  LpSolverBase::Expr e = lp.row(upright);
+  check(  e.size() == 2, "The row retrieval gives back wrong expression.");
+  check(  e[x1] == 1, "The first coefficient should 1.");
+  check(  e[x2] == 1, "The second coefficient should 1.");
+
+  LpSolverBase::DualExpr de = lp.col(x1);
+  check(  de.size() == 4, "The col retrieval gives back wrong expression.");
+  check(  de[upright] == 1, "The first coefficient should 1.");
+
+  LpSolverBase* clp = lp.copyLp();
+
+  //Testing the problem retrieving routines
+  check(clp->objCoeff(x1)==1,"First term should be 1 in the obj function!");
+  check(clp->isMax(),"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)==LpSolverBase::INF,
+          "The upper bound for variable x1 should be infty.");
+
+  clp->getRowBounds(upright,lb,ub);
+  check(  lb==-LpSolverBase::INF,
+          "The lower bound for the first row should be -infty.");
+  check(  ub==1,"The upper bound for the first row should be 1.");
+  e = clp->row(upright);
+  check(  e.size() == 2, "The row retrieval gives back wrong expression.");
+  check(  e[x1] == 1, "The first coefficient should 1.");
+  check(  e[x2] == 1, "The second coefficient should 1.");
+
+  de = clp->col(x1);
+  check(  de.size() == 4, "The col retrieval gives back wrong expression.");
+  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, LpSolverBase::OPTIMAL, expected_opt);
+
+  //Minimization
+  lp.min();
+  expected_opt=0;
+  solveAndCheck(lp, LpSolverBase::OPTIMAL, expected_opt);
+
+  //Vertex (-1,0) instead of (0,0)
+  lp.colLowerBound(x1, -LpSolverBase::INF);
+  expected_opt=-1;
+  solveAndCheck(lp, LpSolverBase::OPTIMAL, expected_opt);
+
+  //Erase one constraint and return to maximization
+  lp.eraseRow(upright);
+  lp.max();
+  expected_opt=LpSolverBase::INF;
+  solveAndCheck(lp, LpSolverBase::INFINITE, expected_opt);
+
+  //Infeasibilty
+  lp.addRow(x1+x2 <=-2);
+  solveAndCheck(lp, LpSolverBase::INFEASIBLE, expected_opt);
+
+  //Change problem and forget to solve
+  lp.min();
+  check(lp.primalStatus()==LpSolverBase::UNDEFINED,
+        "Primalstatus should be UNDEFINED");
+
+
+//   lp.solve();
+//   if (lp.primalStatus()==LpSolverBase::OPTIMAL){
+//     std::cout<< "Z = "<<lp.primalValue()
+//              << " (error = " << lp.primalValue()-expected_opt
+//              << "); x1 = "<<lp.primal(x1)
+//              << "; x2 = "<<lp.primal(x2)
+//              <<std::endl;
+
+//   }
+//   else{
+//     std::cout<<lp.primalStatus()<<std::endl;
+//     std::cout<<"Optimal solution not found!"<<std::endl;
+//   }
+
+
+
+}
+
+
+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_cplex1,lp_cplex2;
+  lpTest(lp_cplex1);
+  aTest(lp_cplex2);
+#endif
+
+#ifdef HAVE_SOPLEX
+  LpSoplex lp_soplex1,lp_soplex2;
+  lpTest(lp_soplex1);
+  aTest(lp_soplex2);
+#endif
+
+  return 0;
+}