CglGomoryTest.cpp

// Copyright (C) 2000, International Business Machines
// Corporation and others.  All Rights Reserved.
#if defined(_MSC_VER)
// Turn off compiler warning about long names
#  pragma warning(disable:4786)
#endif

#include <cstdio>

#ifdef NDEBUG
#undef NDEBUG
#endif

#include <cassert>

#include "CoinPackedMatrix.hpp"
#include "OsiCuts.hpp"
#include "CoinWarmStartBasis.hpp"
#include "CglGomory.hpp"


//--------------------------------------------------------------------------
// ** At present this does not use any solver
void
CglGomoryUnitTest(
  const OsiSolverInterface * baseSiP,
  const std::string mpsDir )
{
  CoinRelFltEq eq(0.000001);

  // Test default constructor
  {
    CglGomory aGenerator;
    assert (aGenerator.getLimit()==50);
    assert (aGenerator.getAway()==0.05);
  }
  
  // Test copy & assignment etc
  {
    CglGomory rhs;
    {
      CglGomory bGenerator;
      bGenerator.setLimit(99);
      bGenerator.setAway(0.2);
      CglGomory cGenerator(bGenerator);
      rhs=bGenerator;
      assert (rhs.getLimit()==99);
      assert (rhs.getAway()==0.2);
    }
  }

  // Test explicit form - all integer (pg 125 Wolsey)
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4,7,8,9};
    int length[5]={2,3,1,1,1};
    int rows[11]={0,2,-1,-1,0,1,2,0,1,2};
    double elements[11]={7.0,2.0,1.0e10,1.0e10,-2.0,1.0,-2.0,1,1,1};
    CoinPackedMatrix matrix(true,3,5,8,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[7]={-4.0,1.0,0.0,0.0,0.0,0.0,0.0};
    double rowLower[5]={14.0,3.0,3.0,1.0e10,1.0e10};
    double rowUpper[5]={14.0,3.0,3.0,-1.0e10,-1.0e10};
    double colLower[7]={0.0,0.0,0.0,0.0,0.0,0.0,0.0};
    double colUpper[7]={100.0,100.0,100.0,100.0,100.0,100.0,100.0};
  
    // integer
    char intVar[7]={2,2,2,2,2,2,2};

    // basis 1
    int rowBasis1[3]={-1,-1,-1};
    int colBasis1[5]={1,1,-1,-1,1};
    CoinWarmStartBasis warm;
    warm.setSize(5,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<5;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[5]={20.0/7.0,3.0,0.0,0.0,23.0/7.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==2);
    // cuts always <=
    int testCut=0; // test first cut as stronger
    double rhs=-6.0;
    double testCut1[5]={0.0,0.0,-1.0,-2.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==2);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        // explicit slack
        matrix.setDimensions(-1,6);
        rpv.insert(5,1.0*7.0); // to get cut in book
        rowLower[3]=ub;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={-1,-1,-1,-1};
    int colBasis2[6]={1,1,1,1,-1,-1};
    warm.setSize(6,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<6;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[6]={2.0,0.5,1.0,2.5,0.0,0.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts-nOldCuts==2);
    // cuts always <=
    testCut=0; // test first cut as stronger
    rhs=-1.0;
    double testCut2[6]={0.0,0.0,0.0,0.0,-1.0,0.0};
    cut = testCut2;
    colsol = colsol2;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==1);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        // explicit slack
        matrix.setDimensions(-1,7);
        rpv.insert(6,1.0);
        rowLower[4]=ub;
        rowUpper[4]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 3
    int rowBasis3[5]={-1,-1,-1,-1,-1};
    int colBasis3[7]={1,1,1,1,1,-1,-1};
    warm.setSize(7,5);
    for (i=0;i<5;i++) {
      if (rowBasis3[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<7;i++) {
      if (colBasis3[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 3
    double colsol3[7]={2.0,1.0,2.0,2.0,1.0,0.0,0.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol3,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }
  // Test explicit form - this time with x4 flipped
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4,7,8,9};
    int length[5]={2,3,1,1,1};
    int rows[11]={0,2,-1,-1,0,1,2,0,1,2};
    double elements[11]={7.0,2.0,1.0e10,1.0e10,-2.0,1.0,-2.0,1,-1,1};
    CoinPackedMatrix matrix(true,3,5,8,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[7]={-4.0,1.0,0.0,0.0,0.0,0.0,0.0};
    double rowLower[5]={14.0,-5.0,3.0,1.0e10,1.0e10};
    double rowUpper[5]={14.0,-5.0,3.0,-1.0e10,-1.0e10};
    double colLower[7]={0.0,0.0,0.0,0.0,0.0,0.0,0.0};
    double colUpper[7]={100.0,100.0,100.0,8.0,100.0,100.0,100.0};
  
    // integer
    char intVar[7]={2,2,2,2,2,2,2};

    // basis 1
    int rowBasis1[3]={-1,-1,-1};
    int colBasis1[5]={1,1,-1,-1,1};
    CoinWarmStartBasis warm;
    warm.setSize(5,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<5;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[5]={20.0/7.0,3.0,0.0,8.0,23.0/7.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==2);
    // cuts always <=
    int testCut=0; // test first cut as stronger
    double rhs=10.0;
    double testCut1[5]={0.0,0.0,-1.0,2.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==2);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        // explicit slack
        matrix.setDimensions(-1,6);
        rpv.insert(5,1.0*7.0); // to get cut in book
        rowLower[3]=ub;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={-1,-1,-1,-1};
    int colBasis2[6]={1,1,1,1,-1,-1};
    warm.setSize(6,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<6;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[6]={2.0,0.5,1.0,5.5,0.0,0.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts-nOldCuts==2);
    // cuts always <=
    testCut=0; // test first cut as stronger
    rhs=-1.0;
    double testCut2[6]={0.0,0.0,0.0,0.0,-1.0,0.0};
    cut = testCut2;
    colsol = colsol2;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==1);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        // explicit slack
        matrix.setDimensions(-1,7);
        rpv.insert(6,1.0);
        rowLower[4]=ub;
        rowUpper[4]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 3
    int rowBasis3[5]={-1,-1,-1,-1,-1};
    int colBasis3[7]={1,1,1,1,1,-1,-1};
    warm.setSize(7,5);
    for (i=0;i<5;i++) {
      if (rowBasis3[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<7;i++) {
      if (colBasis3[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 3
    double colsol3[7]={2.0,1.0,2.0,6.0,1.0,0.0,0.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol3,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }
  // Test with slacks 
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4};
    int length[5]={2,3};
    int rows[11]={0,2,-1,-1,0,1,2};
    double elements[11]={7.0,2.0,1.0e10,1.0e10,-2.0,1.0,-2.0};
    CoinPackedMatrix matrix(true,3,2,5,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[2]={-4.0,1.0};
    double rowLower[5]={-1.0e10,-1.0e10,-1.0e10,1.0e10,1.0e10};
    double rowUpper[5]={14.0,3.0,3.0,-1.0e10,-1.0e10};
    double colLower[2]={0.0,0.0};
    double colUpper[2]={100.0,100.0};
  
    // integer
    char intVar[2]={2,2};

    // basis 1
    int rowBasis1[3]={-1,-1,1};
    int colBasis1[2]={1,1};
    CoinWarmStartBasis warm;
    warm.setSize(2,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[2]={20.0/7.0,3.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==1);
    // cuts always <=
    int testCut=0; // test first cut as stronger
    double rhs=2.0;
    double testCut1[2]={1.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==1);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        rowLower[3]=-1.0e100;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={1,1,-1,-1};
    int colBasis2[2]={1,1};
    warm.setSize(2,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[2]={2.0,0.5};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts-nOldCuts==1);
    // cuts always <=
    testCut=0; // test first cut as stronger
    rhs=1.0;
    double testCut2[2]={1.0,-1.0};
    cut = testCut2;
    colsol = colsol2;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==2);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        rowLower[4]=-1.0e100;
        rowUpper[4]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 3
    int rowBasis3[5]={1,1,1,-1,-1};
    int colBasis3[2]={1,1};
    warm.setSize(2,5);
    for (i=0;i<5;i++) {
      if (rowBasis3[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis3[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 3
    double colsol3[2]={2.0,1.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol3,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }
  // swap some rows to G
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4};
    int length[5]={2,3};
    int rows[11]={0,2,-1,-1,0,1,2};
    double elements[11]={-7.0,-2.0,1.0e10,1.0e10,+2.0,1.0,+2.0};
    CoinPackedMatrix matrix(true,3,2,5,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[2]={-4.0,1.0};
    double rowUpper[5]={1.0e10,3.0,1.0e10,-1.0e10,-1.0e10};
    double rowLower[5]={-14.0,-1.0e10,-3.0,1.0e10,1.0e10};
    double colLower[2]={0.0,0.0};
    double colUpper[2]={100.0,100.0};
  
    // integer
    char intVar[2]={2,2};

    // basis 1
    int rowBasis1[3]={-1,-1,1};
    int colBasis1[2]={1,1};
    CoinWarmStartBasis warm;
    warm.setSize(2,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[2]={20.0/7.0,3.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==1);
    // cuts always <=
    int testCut=0; // test first cut as stronger
    double rhs=2.0;
    double testCut1[2]={1.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==1);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        rowLower[3]=-1.0e100;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={1,1,-1,-1};
    int colBasis2[2]={1,1};
    warm.setSize(2,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[2]={2.0,0.5};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts-nOldCuts==1);
    // cuts always <=
    testCut=0; // test first cut as stronger
    rhs=1.0;
    double testCut2[2]={1.0,-1.0};
    cut = testCut2;
    colsol = colsol2;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==2);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        rowLower[4]=-1.0e100;
        rowUpper[4]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 3
    int rowBasis3[5]={1,1,1,-1,-1};
    int colBasis3[2]={1,1};
    warm.setSize(2,5);
    for (i=0;i<5;i++) {
      if (rowBasis3[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis3[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 3
    double colsol3[2]={2.0,1.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol3,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }


  // NOW mixed integer gomory cuts

  // Test explicit form - (pg 130 Wolsey)
  // Some arrays left same size as previously although not used in full
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4,7,8,9};
    int length[5]={2,3,1,1,1};
    int rows[11]={0,2,-1,-1,0,1,2,0,1,2};
    double elements[11]={7.0,2.0,1.0e10,1.0e10,-2.0,1.0,-2.0,1,1,1};
    CoinPackedMatrix matrix(true,3,5,8,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[7]={-4.0,1.0,0.0,0.0,0.0,0.0,0.0};
    double rowLower[5]={14.0,3.0,3.0,1.0e10,1.0e10};
    double rowUpper[5]={14.0,3.0,3.0,-1.0e10,-1.0e10};
    double colLower[7]={0.0,0.0,0.0,0.0,0.0,0.0,0.0};
    double colUpper[7]={100.0,100.0,100.0,100.0,100.0,100.0,100.0};
  
    // integer
    char intVar[7]={2,0,0,0,0,0,0};

    // basis 1
    int rowBasis1[3]={-1,-1,-1};
    int colBasis1[5]={1,1,-1,-1,1};
    CoinWarmStartBasis warm;
    warm.setSize(5,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<5;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[5]={20.0/7.0,3.0,0.0,0.0,23.0/7.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==1);
    // cuts always <=
    int testCut=0; // test first cut as stronger
    double rhs=-6.0/7.0;
    double testCut1[5]={0.0,0.0,-1.0/7.0,-2.0/7.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==2);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        // explicit slack
        matrix.setDimensions(-1,6);
        rpv.insert(5,1.0); // to get cut in book
        rowLower[3]=ub;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={-1,-1,-1,-1};
    int colBasis2[6]={1,1,1,1,-1,-1};
    warm.setSize(6,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<6;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[6]={2.0,0.5,1.0,2.5,0.0,0.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }
  // Test explicit form - this time with x4 flipped 
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4,7,8,9};
    int length[5]={2,3,1,1,1};
    int rows[11]={0,2,-1,-1,0,1,2,0,1,2};
    double elements[11]={7.0,2.0,1.0e10,1.0e10,-2.0,1.0,-2.0,1,-1,1};
    CoinPackedMatrix matrix(true,3,5,8,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[7]={-4.0,1.0,0.0,0.0,0.0,0.0,0.0};
    double rowLower[5]={14.0,-5.0,3.0,1.0e10,1.0e10};
    double rowUpper[5]={14.0,-5.0,3.0,-1.0e10,-1.0e10};
    double colLower[7]={0.0,0.0,0.0,0.0,0.0,0.0,0.0};
    double colUpper[7]={100.0,100.0,100.0,8.0,100.0,100.0,100.0};
  
    // integer
    char intVar[7]={2,0,0,0,0,0,0};

    // basis 1
    int rowBasis1[3]={-1,-1,-1};
    int colBasis1[5]={1,1,-1,-1,1};
    CoinWarmStartBasis warm;
    warm.setSize(5,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<5;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[5]={20.0/7.0,3.0,0.0,8.0,23.0/7.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==1);
    // cuts always <=
    int testCut=0; 
    double rhs=10.0/7.0;
    double testCut1[5]={0.0,0.0,-1.0/7.0,2.0/7.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==2);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        // explicit slack
        matrix.setDimensions(-1,6);
        rpv.insert(5,1.0); // to get cut in book
        rowLower[3]=ub;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={-1,-1,-1,-1};
    int colBasis2[6]={1,1,1,1,-1,-1};
    warm.setSize(6,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<6;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[6]={2.0,0.5,1.0,5.5,0.0,0.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }
  // Test with slacks 
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4};
    int length[5]={2,3};
    int rows[11]={0,2,-1,-1,0,1,2};
    double elements[11]={7.0,2.0,1.0e10,1.0e10,-2.0,1.0,-2.0};
    CoinPackedMatrix matrix(true,3,2,5,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[2]={-4.0,1.0};
    double rowLower[5]={-1.0e10,-1.0e10,-1.0e10,1.0e10,1.0e10};
    double rowUpper[5]={14.0,3.0,3.0,-1.0e10,-1.0e10};
    double colLower[2]={0.0,0.0};
    double colUpper[2]={100.0,100.0};
  
    // integer
    char intVar[2]={2,0};

    // basis 1
    int rowBasis1[3]={-1,-1,1};
    int colBasis1[2]={1,1};
    CoinWarmStartBasis warm;
    warm.setSize(2,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[2]={20.0/7.0,3.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==1);
    // cuts always <=
    int testCut=0; // test first cut as stronger
    double rhs=2.0;
    double testCut1[2]={1.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==1);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        rowLower[3]=-1.0e100;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={1,1,-1,-1};
    int colBasis2[2]={1,1};
    warm.setSize(2,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[2]={2.0,0.5};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }
  // swap some rows to G
  if (1) {
    OsiCuts osicuts;
    CglGomory test1;
    int i;
    int nOldCuts=0,nRowCuts;
 
    // matrix data
    //deliberate hiccup of 2 between 0 and 1
    int start[5]={0,4};
    int length[5]={2,3};
    int rows[11]={0,2,-1,-1,0,1,2};
    double elements[11]={-7.0,-2.0,1.0e10,1.0e10,+2.0,1.0,+2.0};
    CoinPackedMatrix matrix(true,3,2,5,elements,rows,start,length);
    
    // rim data (objective not used just yet)
    double objective[2]={-4.0,1.0};
    double rowUpper[5]={1.0e10,3.0,1.0e10,-1.0e10,-1.0e10};
    double rowLower[5]={-14.0,-1.0e10,-3.0,1.0e10,1.0e10};
    double colLower[2]={0.0,0.0};
    double colUpper[2]={100.0,100.0};
  
    // integer
    char intVar[2]={2,0};

    // basis 1
    int rowBasis1[3]={-1,-1,1};
    int colBasis1[2]={1,1};
    CoinWarmStartBasis warm;
    warm.setSize(2,3);
    for (i=0;i<3;i++) {
      if (rowBasis1[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis1[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 1
    double colsol1[2]={20.0/7.0,3.0};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol1,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==1);
    // cuts always <=
    int testCut=0; // test first cut as stronger
    double rhs=2.0;
    double testCut1[2]={1.0,0.0};
    double * cut = testCut1;
    double * colsol = colsol1;
    for (i=nOldCuts; i<nRowCuts; i++){
      OsiRowCut rcut;
      CoinPackedVector rpv;
      rcut = osicuts.rowCut(i);
      rpv = rcut.row();
      const int n = rpv.getNumElements();
      const int * indices = rpv.getIndices();
      double* elements = rpv.getElements();
      double sum2=0.0;
      int k=0;
      double lb=rcut.lb();
      double ub=rcut.ub();
      for (k=0; k<n; k++){
        int column=indices[k];
        sum2 += colsol[column]*elements[k];
      }
      if (sum2 >ub + 1.0e-7 ||sum2 < lb - 1.0e-7) {
        std::cout<<"Cut "<<i<<" lb "<<lb<<" solution "<<sum2<<" ub "<<ub<<std::endl;
        for (k=0; k<n; k++){
          int column=indices[k];
          std::cout<<"(col="<<column<<",el="<<elements[k]<<",sol="<<
            colsol[column]<<") ";
        }
        std::cout <<std::endl;
      }
      if (i-nOldCuts==testCut) {
        assert( eq(rhs,ub));
        assert(n==1);
        for (k=0; k<n; k++){
          int column=indices[k];
          assert (eq(cut[column],elements[k]));
        }
        // add cut
        rowLower[3]=-1.0e100;
        rowUpper[3]=ub;
        matrix.appendRow(rpv);
      }
    }
    nOldCuts=nRowCuts;
    // basis 2
    int rowBasis2[4]={1,1,-1,-1};
    int colBasis2[2]={1,1};
    warm.setSize(2,4);
    for (i=0;i<4;i++) {
      if (rowBasis2[i]<0) {
        warm.setArtifStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setArtifStatus(i,CoinWarmStartBasis::basic);
      }
    }
    for (i=0;i<2;i++) {
      if (colBasis2[i]<0) {
        warm.setStructStatus(i,CoinWarmStartBasis::atLowerBound);
      } else {
        warm.setStructStatus(i,CoinWarmStartBasis::basic);
      }
    }

    // solution 2
    double colsol2[2]={2.0,0.5};
    test1.generateCuts(NULL, osicuts, matrix,
                 objective, colsol2,
                 colLower, colUpper,
                 rowLower, rowUpper, intVar, &warm);
    nRowCuts = osicuts.sizeRowCuts();
    std::cout<<"There are "<<nRowCuts<<" gomory cuts"<<std::endl;
    assert (nRowCuts==nOldCuts);
    
  }

  // Miplib3 problem p0033
  if (1) {
    // Setup
    OsiSolverInterface  * siP = baseSiP->clone();
    std::string fn(mpsDir+"p0033");
    siP->readMps(fn.c_str(),"mps");
    siP->activateRowCutDebugger("p0033");
    CglGomory test;

    // Solve the LP relaxation of the model and
    // print out ofv for sake of comparison 
    siP->initialSolve();
    double lpRelaxBefore=siP->getObjValue();
    assert( eq(lpRelaxBefore, 2520.5717391304347) );
    double mycs[] = {0, 1, 0, 0, -2.0837010502455788e-19, 1, 0, 0, 1,
                       0.021739130434782594, 0.35652173913043478, 
                       -6.7220534694101275e-18, 5.3125906451789717e-18, 
                       1, 0, 1.9298798670241979e-17, 0, 0, 0,
                       7.8875708048320448e-18, 0.5, 0, 
                       0.85999999999999999, 1, 1, 0.57999999999999996,
                       1, 0, 1, 0, 0.25, 0, 0.67500000000000004};
    siP->setColSolution(mycs);
#ifdef CGL_DEBUG
    printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
#endif
    
    OsiCuts cuts;    
    
    // Test generateCuts method
    test.generateCuts(*siP,cuts);
    OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
    
    siP->resolve();
    double lpRelaxAfter=siP->getObjValue(); 
    //assert( eq(lpRelaxAfter, 2592.1908295194507) );
    assert( lpRelaxAfter> 2550.0 );
#ifdef CGL_DEBUG
    printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
    printf("\n\nFinal LP min=%f\n",lpRelaxAfter);
#endif
    assert( lpRelaxBefore < lpRelaxAfter );
    
    delete siP;
  } 
  //exit(0);
    
}

---