double LorentzCone::feasibility(int size, CoinPackedVector const & point) const {
double * dense_point = new double[size]();
int const * ind = point.getIndices();
double const * val = point.getElements();
int num_elem = point.getNumElements();
for (int i=0; i<num_elem; ++i) {
dense_point[ind[i]] = val[i];
}
double * par_point = new double[size_];
for(int i=0; i<size_; ++i) {
par_point[i] = dense_point[members_[i]];
}
delete[] dense_point;
double * p = par_point;
double term1;
double term2;
double feas;
if (type()==LORENTZ) {
term1 = p[0];
term2 = std::inner_product(p+1, p+size_, p+1, 0.0);
term2 = sqrt(term2);
}
else if (type()==RLORENTZ) {
term1 = 2.0*p[0]*p[1];
term2 = std::inner_product(p+2, p+size_, p+2, 0.0);
}
feas = term1-term2;
delete[] par_point;
return feas;
}
// ------------------------------------------------------------------------- //
void UtilPrintPackedVector(const CoinPackedVector& v,
ostream* os,
DecompApp* app)
{
(*os).precision(2);
const int* inds = v.getIndices();
const double* elems = v.getElements();
const int len = v.getNumElements();
for (int i = 0; i < len; i++) {
if (!app) {
(*os) << elems[i] << " x[" << inds[i] << "] ";
} else {
(*os) << elems[i] << " ";
app->printOriginalColumn(inds[i], os);
(*os) << " ";
}
if ((i + 1) % 5 == 0) {
(*os) << "\n";
}
}
(*os) << endl;
}
// take columns of matrix and add each to arrays for matrix under construction
void addSubMatr (int *start, int *len, int *ind, double *el,
CoinPackedMatrix &A,
CoinPackedVector &v,
int &cur,
int &ncols,
int dispM,
int dispVec,
int finalrow) {
const int
*aLe = A.getVectorLengths (),
*aIn = A.getIndices (),
*vIn = v.getIndices (),
aCol = A.getMajorDim ();
int vNum = v.getNumElements ();
const double
*aEl = A.getElements (),
*vEl = v.getElements ();
// add each column
for (int i=0; i<aCol; i++, len++) {
*start++ = cur;
*len = *aLe++;
// matrix entries
for (int j = 0; j < *len; j++) {
*ind++ = dispM + *aIn++;
*el++ = *aEl++;
}
cur += *len;
// check if there is a corresponding rhs
if (vNum && (*vIn == i)) {
++*len;
cur++;
*ind++ = dispVec;
*el++ = *vEl;
vIn++;
vEl++;
--vNum;
}
// normalization entry
++*len;
cur++;
*ind++ = finalrow;
*el++ = 1.;
++ncols;
}
*start = cur;
}
CoinPackedVector::CoinPackedVector(const CoinPackedVector & rhs) :
CoinPackedVectorBase(),
indices_(NULL),
elements_(NULL),
nElements_(0),
origIndices_(NULL),
capacity_(0)
{
gutsOfSetVector(rhs.getNumElements(), rhs.getIndices(), rhs.getElements(),
rhs.testForDuplicateIndex(), "copy constructor");
}
/// Returns the dot product of two CoinPackedVector objects whose elements are
/// doubles. Use this version if the vectors are *not* guaranteed to be sorted.
inline double sparseDotProduct(const CoinPackedVectorBase& op1,
const CoinPackedVectorBase& op2){
int len, i;
double acc = 0.0;
CoinPackedVector retVal;
CoinPackedVector retval = op1*op2;
len = retval.getNumElements();
double * CParray = retval.getElements();
for(i = 0; i < len; i++){
acc += CParray[i];
}
return acc;
}
bool isWiped (OsiCuts &cs) {
if (cs.sizeColCuts () == 0)
//(cs.sizeColCuts () != 1))
return false;
CoinPackedVector
lbs = cs.colCutPtr (cs.sizeColCuts () - 1) -> lbs (),
ubs = cs.colCutPtr (cs.sizeColCuts () - 1) -> ubs ();
return ((lbs.getNumElements () == 1) &&
(ubs.getNumElements () == 1) &&
(*(lbs.getIndices ()) == 0) &&
(*(lbs.getElements ()) == 1.) &&
(*(ubs.getIndices ()) == 0) &&
(*(ubs.getElements ()) == -1.));
}
/* Insert a row cut unless it is a duplicate (CoinRelFltEq)*/
void
OsiCuts::insertIfNotDuplicate( OsiRowCut & rc , CoinRelFltEq treatAsSame)
{
double newLb = rc.lb();
double newUb = rc.ub();
CoinPackedVector vector = rc.row();
int numberElements =vector.getNumElements();
int * newIndices = vector.getIndices();
double * newElements = vector.getElements();
CoinSort_2(newIndices,newIndices+numberElements,newElements);
bool notDuplicate=true;
int numberRowCuts = sizeRowCuts();
for ( int i =0; i<numberRowCuts;i++) {
const OsiRowCut * cutPtr = rowCutPtr(i);
if (cutPtr->row().getNumElements()!=numberElements)
continue;
if (!treatAsSame(cutPtr->lb(),newLb))
continue;
if (!treatAsSame(cutPtr->ub(),newUb))
continue;
const CoinPackedVector * thisVector = &(cutPtr->row());
const int * indices = thisVector->getIndices();
const double * elements = thisVector->getElements();
int j;
for(j=0;j<numberElements;j++) {
if (indices[j]!=newIndices[j])
break;
if (!treatAsSame(elements[j],newElements[j]))
break;
}
if (j==numberElements) {
notDuplicate=false;
break;
}
}
if (notDuplicate) {
OsiRowCut * newCutPtr = new OsiRowCut();
newCutPtr->setLb(newLb);
newCutPtr->setUb(newUb);
newCutPtr->setRow(vector);
rowCutPtrs_.push_back(newCutPtr);
}
}
void OsiIF::_row(int i, Row &r) const
{
const CoinPackedMatrix* coinMatrix;
CoinPackedVector coinVector;
int coinNumEl;
const int* coinIndices;
const double* coinElements;
coinMatrix = osiLP_->getMatrixByRow();
coinVector = coinMatrix->getVector(i);
coinNumEl = coinVector.getNumElements();
coinIndices = coinVector.getIndices();
coinElements = coinVector.getElements();
r.clear();
for (int j = 0; j < coinNumEl; j++)
r.insert(coinIndices[j], coinElements[j]);
r.sense(osi2csense(rowsense_[i]));
r.rhs(_rhs(i));
}
// ------------------------------------------------------------------------- //
void UtilPrintPackedVector(const CoinPackedVector& v,
ostream* os,
const vector<string>& colNames,
const double* value)
{
(*os).precision(2);
const int* inds = v.getIndices();
const double* elems = v.getElements();
const int len = v.getNumElements();
int namesSize = static_cast<int>(colNames.size());
double sum = 0.0;
for (int i = 0; i < len; i++) {
if (!namesSize)
(*os) << setw(10) << UtilDblToStr(elems[i], 4)
<< " x[" << setw(6) << inds[i] << "] ";
else {
(*os) << setw(10) << UtilDblToStr(elems[i], 4)
<< " " << setw(10) << colNames[inds[i]] << " ";
}
if (value) {
sum += elems[i] * value[inds[i]];
(*os) << " --> " << setw(10) << UtilDblToStr(value[inds[i]], 4);
(*os) << " --> " << setw(10) << UtilDblToStr(sum, 4);
}
(*os) << "\n";
}
if (value) {
(*os) << "dot product = " << UtilDblToStr(sum, 4) << endl;
}
(*os) << endl;
}
//--------------------------------------------------------------------------
void
CglKnapsackCoverUnitTest(
const OsiSolverInterface * baseSiP,
const std::string mpsDir )
{
int i;
CoinRelFltEq eq(0.000001);
// Test default constructor
{
CglKnapsackCover kccGenerator;
}
// Test copy & assignment
{
CglKnapsackCover rhs;
{
CglKnapsackCover kccGenerator;
CglKnapsackCover cgC(kccGenerator);
rhs=kccGenerator;
}
}
// test exactSolveKnapsack
{
CglKnapsackCover kccg;
const int n=7;
double c=50;
double p[n] = {70,20,39,37,7,5,10};
double w[n] = {31, 10, 20, 19, 4, 3, 6};
double z;
int x[n];
int exactsol = kccg.exactSolveKnapsack(n, c, p, w, z, x);
assert(exactsol==1);
assert (z == 107);
assert (x[0]==1);
assert (x[1]==0);
assert (x[2]==0);
assert (x[3]==1);
assert (x[4]==0);
assert (x[5]==0);
assert (x[6]==0);
}
/*
// Testcase /u/rlh/osl2/mps/scOneInt.mps
// Model has 3 continous, 2 binary, and 1 general
// integer variable.
{
OsiSolverInterface * siP = baseSiP->clone();
int * complement=NULL;
double * xstar=NULL;
siP->readMps("../Mps/scOneInt","mps");
CglKnapsackCover kccg;
int nCols=siP->getNumCols();
// Test the siP methods for detecting
// variable type
int numCont=0, numBinary=0, numIntNonBinary=0, numInt=0;
for (int thisCol=0; thisCol<nCols; thisCol++) {
if ( siP->isContinuous(thisCol) ) numCont++;
if ( siP->isBinary(thisCol) ) numBinary++;
if ( siP->isIntegerNonBinary(thisCol) ) numIntNonBinary++;
if ( siP->isInteger(thisCol) ) numInt++;
}
assert(numCont==3);
assert(numBinary==2);
assert(numIntNonBinary==1);
assert(numInt==3);
// Test initializeCutGenerator
siP->initialSolve();
assert(xstar !=NULL);
for (i=0; i<nCols; i++){
assert(complement[i]==0);
}
int nRows=siP->getNumRows();
for (i=0; i<nRows; i++){
int vectorsize = siP->getMatrixByRow()->vectorSize(i);
assert(vectorsize==2);
}
kccg.cleanUpCutGenerator(complement,xstar);
delete siP;
}
*/
// Testcase /u/rlh/osl2/mps/tp3.mps
// Models has 3 cols, 3 rows
// Row 0 yields a knapsack, others do not.
{
// setup
OsiSolverInterface * siP = baseSiP->clone();
std::string fn(mpsDir+"tp3");
siP->readMps(fn.c_str(),"mps");
// All integer variables should be binary.
// Assert that this is true.
for ( i = 0; i < siP->getNumCols(); i++ )
if ( siP->isInteger(i) )
assert(siP->getColUpper()[i]==1.0 && siP->isBinary(i));
OsiCuts cs;
CoinPackedVector krow;
double b=0;
int nCols=siP->getNumCols();
int * complement=new int [nCols];
double * xstar=new double [nCols];
CglKnapsackCover kccg;
// solve LP relaxation
// a "must" before calling initialization
siP->initialSolve();
double lpRelaxBefore=siP->getObjValue();
std::cout<<"Initial LP value: "<<lpRelaxBefore<<std::endl;
assert( eq(siP->getObjValue(), 97.185) );
double mycs[] = {.627, .667558333333, .038};
siP->setColSolution(mycs);
const double *colsol = siP->getColSolution();
int k;
for (k=0; k<nCols; k++){
xstar[k]=colsol[k];
complement[k]=0;
}
// test deriveAKnapsack
int rind = ( siP->getRowSense()[0] == 'N' ) ? 1 : 0;
const CoinShallowPackedVector reqdBySunCC = siP->getMatrixByRow()->getVector(rind) ;
int deriveaknap = kccg.deriveAKnapsack(*siP, cs, krow,b,complement,xstar,rind,reqdBySunCC);
assert(deriveaknap ==1);
assert(complement[0]==0);
assert(complement[1]==1);
assert(complement[2]==1);
int inx[3] = {0,1,2};
double el[3] = {161, 120, 68};
CoinPackedVector r;
r.setVector(3,inx,el);
assert (krow == r);
//assert (b == 183.0); ????? but x1 and x2 at 1 is valid
// test findGreedyCover
CoinPackedVector cover,remainder;
#if 0
int findgreedy = kccg.findGreedyCover( 0, krow, b, xstar, cover, remainder );
assert( findgreedy == 1 );
int coveri = cover.getNumElements();
assert( cover.getNumElements() == 2);
coveri = cover.getIndices()[0];
assert( cover.getIndices()[0] == 0);
assert( cover.getIndices()[1] == 1);
assert( cover.getElements()[0] == 161.0);
assert( cover.getElements()[1] == 120.0);
assert( remainder.getNumElements() == 1);
assert( remainder.getIndices()[0] == 2);
assert( remainder.getElements()[0] == 68.0);
// test liftCoverCut
CoinPackedVector cut;
double * rowupper = ekk_rowupper(model);
double cutRhs = cover.getNumElements() - 1.0;
kccg.liftCoverCut(b, krow.getNumElements(),
cover, remainder,
cut);
assert ( cut.getNumElements() == 3 );
assert ( cut.getIndices()[0] == 0 );
assert ( cut.getIndices()[1] == 1 );
assert ( cut.getIndices()[2] == 2 );
assert( cut.getElements()[0] == 1 );
assert( cut.getElements()[1] == 1 );
assert( eq(cut.getElements()[2], 0.087719) );
// test liftAndUncomplementAndAdd
OsiCuts cuts;
kccg.liftAndUncomplementAndAdd(*siP.getRowUpper()[0],krow,b,complement,0,
cover,remainder,cuts);
int sizerowcuts = cuts.sizeRowCuts();
assert ( sizerowcuts== 1 );
OsiRowCut testRowCut = cuts.rowCut(0);
CoinPackedVector testRowPV = testRowCut.row();
OsiRowCut sampleRowCut;
const int sampleSize = 3;
int sampleCols[sampleSize]={0,1,2};
double sampleElems[sampleSize]={1.0,-1.0,-0.087719};
sampleRowCut.setRow(sampleSize,sampleCols,sampleElems);
sampleRowCut.setLb(-DBL_MAX);
sampleRowCut.setUb(-0.087719);
bool equiv = testRowPV.equivalent(sampleRowCut.row(),CoinRelFltEq(1.0e-05) );
assert ( equiv );
#endif
// test find PseudoJohnAndEllisCover
cover.setVector(0,NULL, NULL);
remainder.setVector(0,NULL,NULL);
rind = ( siP->getRowSense()[0] == 'N' ) ? 1 : 0;
int findPJE = kccg.findPseudoJohnAndEllisCover( rind, krow,
b, xstar, cover, remainder );
assert( findPJE == 1 );
assert ( cover.getIndices()[0] == 0 );
assert ( cover.getIndices()[1] == 2 );
assert ( cover.getElements()[0] == 161 );
assert ( cover.getElements()[1] == 68 );
assert ( remainder.getIndices()[0] == 1 );
assert ( remainder.getElements()[0] == 120 );
OsiCuts cuts;
kccg.liftAndUncomplementAndAdd((*siP).getRowUpper()[rind],krow,b, complement, rind,
cover,remainder,cuts);
assert (cuts.sizeRowCuts() == 1 );
OsiRowCut testRowCut = cuts.rowCut(0);
CoinPackedVector testRowPV = testRowCut.row();
const int sampleSize = 3;
int sampleCols[sampleSize]={0,1,2};
double sampleElems[sampleSize]={1.0, -1.0, -1.0};
OsiRowCut sampleRowCut;
sampleRowCut.setRow(sampleSize,sampleCols,sampleElems);
sampleRowCut.setLb(-COIN_DBL_MAX);
sampleRowCut.setUb(-1.0);
// test for 'close enough'
assert( testRowPV.isEquivalent(sampleRowCut.row(),CoinRelFltEq(1.0e-05) ) );
// Reset complement & test next row
for (i=0; i<nCols; i++){
complement[i]=0;
}
rind++;
const CoinShallowPackedVector reqdBySunCC2 = siP->getMatrixByRow()->getVector(rind) ;
deriveaknap = kccg.deriveAKnapsack(*siP,cuts,krow,b,complement,xstar,rind,reqdBySunCC2);
assert(deriveaknap==0);
// Reset complement & test next row
for (i=0; i<nCols; i++){
complement[i]=0;
}
const CoinShallowPackedVector reqdBySunCC3 = siP->getMatrixByRow()->getVector(2) ;
deriveaknap = kccg.deriveAKnapsack(*siP,cuts,krow,b,complement,xstar,2,
reqdBySunCC3);
assert(deriveaknap == 0);
// Clean up
delete [] complement;
delete [] xstar;
delete siP;
}
#if 0
// Testcase /u/rlh/osl2/mps/tp4.mps
// Models has 6 cols, 1 knapsack row and
// 3 rows explicily bounding variables
// Row 0 yields a knapsack cover cut
// using findGreedyCover which moves the
// LP objective function value.
{
// Setup
EKKContext * env=ekk_initializeContext();
EKKModel * model = ekk_newModel(env,"");
OsiSolverInterface si(model);
ekk_importModel(model, "tp4.mps");
CglKnapsackCover kccg;
kccg.ekk_validateIntType(si);
// Solve the LP relaxation of the model and
// print out ofv for sake of comparison
ekk_allSlackBasis(model);
ekk_crash(model,1);
ekk_primalSimplex(model,1);
double lpRelaxBefore=ekk_getRobjvalue(model);
#ifdef CGL_DEBUG
printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
#endif
// Determine if lp sol is ip optimal
// Note: no ekk_function to do this
int nCols=ekk_getInumcols(model);
double * optLpSol = ekk_colsol(model);
int ipOpt = 1;
i=0;
while (i++<nCols && ipOpt){
if(optLpSol[i] < 1.0-1.0e-08 && optLpSol[i]> 1.0e-08) ipOpt = 0;
}
if (ipOpt){
#ifdef CGL_DEBUG
printf("Lp solution is within ip optimality tolerance\n");
#endif
}
else {
OsiSolverInterface iModel(model);
OsiCuts cuts;
// Test generateCuts method
kccg.generateCuts(iModel,cuts);
OsiSolverInterface::ApplyCutsReturnCode rc = iModel.applyCuts(cuts);
ekk_mergeBlocks(model,1);
ekk_dualSimplex(model);
double lpRelaxAfter=ekk_getRobjvalue(model);
#ifdef CGL_DEBUG
printf("\n\nFinal LP min=%f\n",lpRelaxAfter);
#endif
assert( lpRelaxBefore < lpRelaxAfter );
// This may need to be updated as other
// minimal cover finders are added
assert( cuts.sizeRowCuts() == 1 );
OsiRowCut testRowCut = cuts.rowCut(0);
CoinPackedVector testRowPV = testRowCut.row();
OsiRowCut sampleRowCut;
const int sampleSize = 6;
int sampleCols[sampleSize]={0,1,2,3,4,5};
double sampleElems[sampleSize]={1.0,1.0,1.0,1.0,0.5, 2.0};
sampleRowCut.setRow(sampleSize,sampleCols,sampleElems);
sampleRowCut.setLb(-DBL_MAX);
sampleRowCut.setUb(3.0);
bool equiv = testRowPV.equivalent(sampleRowCut.row(),CoinRelFltEq(1.0e-05) );
assert( testRowPV.equivalent(sampleRowCut.row(),CoinRelFltEq(1.0e-05) ) );
}
// Exit out of OSL
ekk_deleteModel(model);
ekk_endContext(env);
}
#endif
// Testcase /u/rlh/osl2/mps/tp5.mps
// Models has 6 cols, 1 knapsack row and
// 3 rows explicily bounding variables
// Row 0 yields a knapsack cover cut
// using findGreedyCover which moves the
// LP objective function value.
{
// Setup
OsiSolverInterface * siP = baseSiP->clone();
std::string fn(mpsDir+"tp5");
siP->readMps(fn.c_str(),"mps");
// All integer variables should be binary.
// Assert that this is true.
for ( i = 0; i < siP->getNumCols(); i++ )
if ( siP->isInteger(i) )
assert(siP->getColUpper()[i]==1.0 && siP->isBinary(i));
CglKnapsackCover kccg;
// Solve the LP relaxation of the model and
// print out ofv for sake of comparison
siP->initialSolve();
double lpRelaxBefore=siP->getObjValue();
assert( eq(lpRelaxBefore, -51.66666666667) );
double mycs[] = {.8999999999, .899999999999, .89999999999, 1.110223e-16, .5166666666667, 0};
siP->setColSolution(mycs);
#ifdef CGL_DEBUG
printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
#endif
// Determine if lp sol is 0/1 optimal
int nCols=siP->getNumCols();
const double * optLpSol = siP->getColSolution();
bool ipOpt = true;
i=0;
while (i++<nCols && ipOpt){
if(optLpSol[i] > kccg.epsilon_ && optLpSol[i] < kccg.onetol_) ipOpt = false;
}
if (ipOpt){
#ifdef CGL_DEBUG
printf("Lp solution is within ip optimality tolerance\n");
#endif
}
else {
// set up
OsiCuts cuts;
CoinPackedVector krow;
double b=0.0;
int * complement=new int[nCols];
double * xstar=new double[nCols];
// initialize cut generator
const double *colsol = siP->getColSolution();
for (i=0; i<nCols; i++){
xstar[i]=colsol[i];
complement[i]=0;
}
int row = ( siP->getRowSense()[0] == 'N' ) ? 1 : 0;
// transform row into canonical knapsack form
const CoinShallowPackedVector reqdBySunCC = siP->getMatrixByRow()->getVector(row) ;
if (kccg.deriveAKnapsack(*siP, cuts, krow, b, complement, xstar, row,reqdBySunCC)){
CoinPackedVector cover, remainder;
// apply greedy logic to detect violated minimal cover inequalities
if (kccg.findGreedyCover(row, krow, b, xstar, cover, remainder) == 1){
// lift, uncomplements, and add cut to cut set
kccg.liftAndUncomplementAndAdd((*siP).getRowUpper()[row],krow, b, complement, row, cover, remainder, cuts);
}
// reset optimal column solution (xstar) information in OSL
const double * rowupper = siP->getRowUpper();
int k;
if (fabs(b-rowupper[row]) > 1.0e-05) {
for(k=0; k<krow.getNumElements(); k++) {
if (complement[krow.getIndices()[k]]){
xstar[krow.getIndices()[k]]= 1.0-xstar[krow.getIndices()[k]];
complement[krow.getIndices()[k]]=0;
}
}
}
// clean up
delete [] complement;
delete [] xstar;
}
// apply the cuts
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
double lpRelaxAfter=siP->getObjValue();
assert( eq(lpRelaxAfter, -30.0) );
#ifdef CGL_DEBUG
printf("\n\nFinal LP min=%f\n",lpRelaxAfter);
#endif
// test that expected cut was detected
assert( lpRelaxBefore < lpRelaxAfter );
assert( cuts.sizeRowCuts() == 1 );
OsiRowCut testRowCut = cuts.rowCut(0);
CoinPackedVector testRowPV = testRowCut.row();
OsiRowCut sampleRowCut;
const int sampleSize = 6;
int sampleCols[sampleSize]={0,1,2,3,4,5};
double sampleElems[sampleSize]={1.0,1.0,1.0,0.25,1.0,2.0};
sampleRowCut.setRow(sampleSize,sampleCols,sampleElems);
sampleRowCut.setLb(-COIN_DBL_MAX);
sampleRowCut.setUb(3.0);
assert(testRowPV.isEquivalent(sampleRowCut.row(),CoinRelFltEq(1.0e-05)));
}
delete siP;
}
// Testcase /u/rlh/osl2/mps/p0033
// Miplib3 problem p0033
// Test that no cuts chop off the optimal solution
{
// Setup
OsiSolverInterface * siP = baseSiP->clone();
std::string fn(mpsDir+"p0033");
siP->readMps(fn.c_str(),"mps");
// All integer variables should be binary.
// Assert that this is true.
for ( i = 0; i < siP->getNumCols(); i++ )
if ( siP->isInteger(i) )
assert(siP->getColUpper()[i]==1.0 && siP->isBinary(i));
int nCols=siP->getNumCols();
CglKnapsackCover kccg;
// 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
kccg.generateCuts(*siP,cuts);
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
double lpRelaxAfter=siP->getObjValue();
assert( eq(lpRelaxAfter, 2829.0597826086955) );
#ifdef CGL_DEBUG
printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
printf("\n\nFinal LP min=%f\n",lpRelaxAfter);
#endif
assert( lpRelaxBefore < lpRelaxAfter );
// the CoinPackedVector p0033 is the optimal
// IP solution to the miplib problem p0033
int objIndices[14] = {
0, 6, 7, 9, 13, 17, 18,
22, 24, 25, 26, 27, 28, 29 };
CoinPackedVector p0033(14,objIndices,1.0);
// Sanity check
const double * objective=siP->getObjCoefficients();
double ofv =0 ;
int r;
for (r=0; r<nCols; r++){
ofv=ofv + p0033[r]*objective[r];
}
CoinRelFltEq eq;
assert( eq(ofv,3089.0) );
int nRowCuts = cuts.sizeRowCuts();
OsiRowCut rcut;
CoinPackedVector rpv;
for (i=0; i<nRowCuts; i++){
rcut = cuts.rowCut(i);
rpv = rcut.row();
double p0033Sum = (rpv*p0033).sum();
assert (p0033Sum <= rcut.ub() );
}
delete siP;
}
// if a debug file is there then look at it
{
FILE * fp = fopen("knapsack.debug","r");
if (fp) {
int ncol,nel;
double up;
int x = fscanf(fp,"%d %d %lg",&ncol,&nel,&up);
if (x<=0)
throw("bad fscanf");
printf("%d columns, %d elements, upper %g\n",ncol,nel,up);
double * sol1 = new double[nel];
double * el1 = new double[nel];
int * col1 = new int[nel];
CoinBigIndex * start = new CoinBigIndex [ncol+1];
memset(start,0,ncol*sizeof(CoinBigIndex ));
int * row = new int[nel];
int i;
for (i=0;i<nel;i++) {
x=fscanf(fp,"%d %lg %lg",col1+i,el1+i,sol1+i);
if (x<=0)
throw("bad fscanf");
printf("[%d, e=%g, v=%g] ",col1[i],el1[i],sol1[i]);
start[col1[i]]=1;
row[i]=0;
}
printf("\n");
// Setup
OsiSolverInterface * siP = baseSiP->clone();
double lo=-1.0e30;
double * upper = new double[ncol];
start[ncol]=nel;
int last=0;
for (i=0;i<ncol;i++) {
upper[i]=1.0;
int marked=start[i];
start[i]=last;
if (marked)
last++;
}
siP->loadProblem(ncol,1,start,row,el1,NULL,upper,NULL,&lo,&up);
// use upper for solution
memset(upper,0,ncol*sizeof(double));
for (i=0;i<nel;i++) {
int icol=col1[i];
upper[icol]=sol1[i];
siP->setInteger(icol);
}
siP->setColSolution(upper);
delete [] sol1;
delete [] el1;
delete [] col1;
delete [] start;
delete [] row;
delete [] upper;
CglKnapsackCover kccg;
OsiCuts cuts;
// Test generateCuts method
kccg.generateCuts(*siP,cuts);
// print out and compare to known cuts
int numberCuts = cuts.sizeRowCuts();
if (numberCuts) {
for (i=0;i<numberCuts;i++) {
OsiRowCut * thisCut = cuts.rowCutPtr(i);
int n=thisCut->row().getNumElements();
printf("Cut %d has %d entries, rhs %g %g =>",i,n,thisCut->lb(),
thisCut->ub());
int j;
const int * index = thisCut->row().getIndices();
const double * element = thisCut->row().getElements();
for (j=0;j<n;j++) {
printf(" (%d,%g)",index[j],element[j]);
}
printf("\n");
}
}
fclose(fp);
}
}
// Testcase /u/rlh/osl2/mps/p0201
// Miplib3 problem p0282
// Test that no cuts chop off the optimal ip solution
{
// Setup
OsiSolverInterface * siP = baseSiP->clone();
std::string fn(mpsDir+"p0201");
siP->readMps(fn.c_str(),"mps");
// All integer variables should be binary.
// Assert that this is true.
for ( i = 0; i < siP->getNumCols(); i++ )
if ( siP->isInteger(i) )
assert(siP->getColUpper()[i]==1.0 && siP->isBinary(i));
const int nCols=siP->getNumCols();
CglKnapsackCover kccg;
// Solve the LP relaxation of the model and
// print out ofv for sake of comparisn
siP->initialSolve();
double lpRelaxBefore=siP->getObjValue();
assert( eq(lpRelaxBefore, 6875.) );
double mycs[] =
{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0.5, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0.5,
0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0.5, 0, 0,
0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0.5, 0, 0, 0, 0.5,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0.5, 0, 0, 0, 0.5, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0.5, 0, 0, 0, 0.5, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 1, 0.5, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 1, 0.5, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 1, 0.5, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 1, 0.5, 0, 0, 0, 0.5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
1};
siP->setColSolution(mycs);
#ifdef CGL_DEBUG
printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
#endif
OsiCuts cuts;
// Test generateCuts method
kccg.generateCuts(*siP,cuts);
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
double lpRelaxAfter=siP->getObjValue();
assert( eq(lpRelaxAfter, 7125) );
#ifdef CGL_DEBUG
printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
printf("\n\nFinal LP min=%f\n",lpRelaxAfter);
#endif
assert( lpRelaxBefore < lpRelaxAfter );
// Optimal IP solution to p0201
int objIndices[22] = { 8, 10, 21, 38, 39, 56,
60, 74, 79, 92, 94, 110, 111, 128, 132, 146,
151,164, 166, 182,183, 200 };
CoinPackedVector p0201(22,objIndices,1.0);
// Sanity check
const double * objective=siP->getObjCoefficients();
double ofv =0 ;
int r;
for (r=0; r<nCols; r++){
ofv=ofv + p0201[r]*objective[r];
}
CoinRelFltEq eq;
assert( eq(ofv,7615.0) );
//printf("p0201 optimal ofv = %g\n",ofv);
int nRowCuts = cuts.sizeRowCuts();
OsiRowCut rcut;
CoinPackedVector rpv;
for (i=0; i<nRowCuts; i++){
rcut = cuts.rowCut(i);
rpv = rcut.row();
double p0201Sum = (rpv*p0201).sum();
assert (p0201Sum <= rcut.ub() );
}
delete siP;
}
// see if I get the same covers that N&W get
{
OsiSolverInterface * siP=baseSiP->clone();
std::string fn(mpsDir+"nw460");
siP->readMps(fn.c_str(),"mps");
// All integer variables should be binary.
// Assert that this is true.
for ( i = 0; i < siP->getNumCols(); i++ )
if ( siP->isInteger(i) )
assert(siP->getColUpper()[i]==1.0 && siP->isBinary(i));
CglKnapsackCover kccg;
// Solve the LP relaxation of the model and
// print out ofv for sake of comparison
siP->initialSolve();
double lpRelaxBefore=siP->getObjValue();
assert( eq(lpRelaxBefore, -225.68951787852194) );
double mycs[] = {0.7099213482046447, 0, 0.34185802225477174, 1, 1, 0, 1, 1, 0};
siP->setColSolution(mycs);
OsiCuts cuts;
// Test generateCuts method
kccg.generateCuts(*siP,cuts);
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
double lpRelaxAfter=siP->getObjValue();
assert( eq(lpRelaxAfter, -176) );
#ifdef CGL_DEBUG
printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
printf("\n\nFinal LP min=%f\n",lpRelaxAfter);
#endif
#ifdef MJS
assert( lpRelaxBefore < lpRelaxAfter );
#endif
int nRowCuts = cuts.sizeRowCuts();
OsiRowCut rcut;
CoinPackedVector rpv;
for (i=0; i<nRowCuts; i++){
rcut = cuts.rowCut(i);
rpv = rcut.row();
int j;
printf("Row cut number %i has rhs = %g\n",i,rcut.ub());
for (j=0; j<rpv.getNumElements(); j++){
printf("index %i, element %g\n", rpv.getIndices()[j], rpv.getElements()[j]);
}
printf("\n");
}
delete siP;
}
// Debugging: try "exmip1.mps"
{
// Setup
OsiSolverInterface * siP = baseSiP->clone();
std::string fn(mpsDir+"exmip1");
siP->readMps(fn.c_str(),"mps");
// All integer variables should be binary.
// Assert that this is true.
for ( i = 0; i < siP->getNumCols(); i++ )
if ( siP->isInteger(i) )
assert(siP->getColUpper()[i]==1.0 && siP->isBinary(i));
CglKnapsackCover kccg;
// Solve the LP relaxation of the model and
// print out ofv for sake of comparison
siP->initialSolve();
double lpRelaxBefore=siP->getObjValue();
assert( eq(lpRelaxBefore, 3.2368421052631575) );
double mycs[] = {2.5, 0, 0, 0.6428571428571429, 0.5, 4, 0, 0.26315789473684253};
siP->setColSolution(mycs);
// Test generateCuts method
OsiCuts cuts;
kccg.generateCuts(*siP,cuts);
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
double lpRelaxAfter=siP->getObjValue();
assert( eq(lpRelaxAfter, 3.2368421052631575) );
#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;
}
#ifdef CGL_DEBUG
// See what findLPMostViolatedMinCover for knapsack with 2 elements does
{
int nCols = 2;
int row = 1;
CoinPackedVector krow;
double e[2] = {5,10};
int ii[2] = {0,1};
krow.setVector(nCols,ii,e);
double b=11;
double xstar[2] = {.2,.9};
CoinPackedVector cover;
CoinPackedVector remainder;
CglKnapsackCover kccg;
kccg.findLPMostViolatedMinCover(nCols, row, krow, b, xstar, cover, remainder);
printf("num in cover = %i\n",cover.getNumElements());
int j;
for (j=0; j<cover.getNumElements(); j++){
printf(" index %i element % g\n", cover.getIndices()[j], cover.getElements()[j]);
}
}
#endif
#ifdef CGL_DEBUG
// see what findLPMostViolatedMinCover does
{
int nCols = 5;
int row = 1;
CoinPackedVector krow;
double e[5] = {1,1,1,1,10};
int ii[5] = {0,1,2,3,4};
krow.setVector(nCols,ii,e);
double b=11;
double xstar[5] = {.9,.9,1,1,.1};
CoinPackedVector cover;
CoinPackedVector remainder;
CglKnapsackCover kccg;
kccg.findLPMostViolatedMinCover(nCols, row, krow, b, xstar, cover, remainder);
printf("num in cover = %i\n",cover.getNumElements());
int j;
for (j=0; j<cover.getNumElements(); j++){
printf(" index %i element % g\n", cover.getIndices()[j], cover.getElements()[j]);
}
}
#endif
}
/**Clean cut 2, different algorithm. First check the dynamic of the cut if < maxRatio scale to a biggest coef of 1
otherwise scale it so that biggest coeff is 1 and try removing tinys ( < 1/maxRatio) either succeed or fail */
int
Validator::cleanCut2(OsiRowCut & aCut, const double * solCut, const OsiSolverInterface &si, const CglParam &/* par */,
const double * origColLower, const double * origColUpper) const
{
/** Compute fill-in in si */
int numcols = si.getNumCols();
// int numrows = si.getNumRows();
const double * colLower = (origColLower) ? origColLower : si.getColLower();
const double * colUpper = (origColUpper) ? origColUpper : si.getColUpper();
int maxNnz = static_cast<int> ( maxFillIn_ * static_cast<double> (numcols));
double rhs = aCut.lb();
assert (aCut.ub()> 1e50);
CoinPackedVector *vec = const_cast<CoinPackedVector *>(&aCut.row());
// vec->sortIncrIndex();
int * indices = vec->getIndices();
double * elems = vec->getElements();
int n = vec->getNumElements();
if (n==0)
{
numRejected_[EmptyCut]++;
return EmptyCut;
}
/** First compute violation if it is too small exit */
double violation = aCut.violated(solCut);
if (violation < minViolation_)
return 1;
/** Now relax get dynamic and remove tiny elements */
int offset = 0;
rhs -= 1e-10;
double smallest = fabs(rhs);
double biggest = smallest;
double veryTiny = 1e-20;
for (int i = 0 ; i < n ; i++)
{
double val = fabs(elems[i]);
if (val > veryTiny) //tiny should be very very small
{
smallest = std::min(val,smallest);
biggest = std::max (val,biggest);
}
}
if (biggest > 1e9)
{
#ifdef DEBUG
std::cout<<"Whaooo "<<biggest/smallest<<std::endl;
#endif
numRejected_[BigDynamic]++;
return BigDynamic;
}
//rescale the cut so that biggest is 1e1.
double toBeBiggest = rhsScale_;
rhs *= (toBeBiggest / biggest);
toBeBiggest /= biggest;
for (int i = 0 ; i < n ; i++)
{
elems[i] *= toBeBiggest;
}
if (biggest > maxRatio_ * smallest) //we have to remove some small coefficients
{
double myTiny = biggest * toBeBiggest / maxRatio_;
veryTiny *= toBeBiggest ;
for (int i = 0 ; i < n ; i++)
{
double val = fabs(elems[i]);
if (val < myTiny)
{
if (val< veryTiny)
{
offset++;
continue;
}
int & iCol = indices[i];
if (elems[i]>0. && colUpper[iCol] < 1000.)
{
offset++;
rhs -= elems[i] * colUpper[iCol];
elems[i]=0;
}
else if (elems[i]<0. && colLower[iCol] > -1000.)
{
offset++;
rhs -= elems[i] * colLower[iCol];
elems[i]=0.;
}
else
{
numRejected_[SmallCoefficient]++;
return SmallCoefficient;
}
}
else //Not a small coefficient keep it
{
if (offset) //if offset is zero current values are ok
{
int i2 = i - offset;
indices[i2] = indices[i];
elems[i2] = elems[i];
}
}
}
}
if ((n - offset) > maxNnz)
{
numRejected_[DenseCut] ++;
return DenseCut;
}
if (offset)
vec->truncate(n - offset);
if (vec->getNumElements() == 0 )
{
numRejected_[EmptyCut]++;
return EmptyCut;
}
/** recheck violation */
aCut.setLb(rhs);
violation = aCut.violated(solCut);
if (violation < minViolation_)
{
numRejected_[SmallViolation]++;
return SmallViolation;
}
assert(fabs(rhs)<1e09);
return NoneAccepted;
}
/** Clean an OsiCut
\return 1 if min violation is too small
\return 2 if small coefficient can not be removed
\return 3 if dynamic is too big
\return 4 if too many non zero element*/
int
Validator::cleanCut(OsiRowCut & aCut, const double * solCut, const OsiSolverInterface &si, const CglParam& par,
const double * origColLower, const double * origColUpper) const
{
/** Compute fill-in in si */
int numcols = si.getNumCols();
const double * colLower = (origColLower) ? origColLower : si.getColLower();
const double * colUpper = (origColUpper) ? origColUpper : si.getColUpper();
int maxNnz = static_cast<int> (maxFillIn_ * static_cast<double> (numcols));
double rhs = aCut.lb();
assert (aCut.ub()> 1e50);
CoinPackedVector *vec = const_cast<CoinPackedVector *>(&aCut.row());
int * indices = vec->getIndices();
double * elems = vec->getElements();
int n = vec->getNumElements();
/** First compute violation if it is too small exit */
double violation = aCut.violated(solCut);
if (violation < minViolation_)
return 1;
/** Now relax get dynamic and remove tiny elements */
int offset = 0;
rhs -= 1e-8;
double smallest = 1e100;
double biggest = 0;
for (int i = 0 ; i < n ; i++)
{
double val = fabs(elems[i]);
if (val <= par.getEPS()) //try to remove coef
{
if (val>0 && val<1e-20)
{
offset++;
continue;
throw;
}
if (val==0)
{
offset++;
continue;
}
int & iCol = indices[i];
if (elems[i]>0. && colUpper[iCol] < 10000.)
{
offset++;
rhs -= elems[i] * colUpper[iCol];
elems[i]=0;
}
else if (elems[i]<0. && colLower[iCol] > -10000.)
{
offset++;
rhs -= elems[i] * colLower[iCol];
elems[i]=0.;
}
else
{
#ifdef DEBUG
std::cout<<"Small coefficient : "<<elems[i]<<" bounds : ["<<colLower[iCol]<<", "<<colUpper[iCol]<<std::endl;
#endif
numRejected_[SmallCoefficient]++;
return SmallCoefficient;
}
}
else //Not a small coefficient keep it
{
smallest = std::min(val,smallest);
biggest = std::max (val,biggest);
if (biggest > maxRatio_ * smallest)
{
#ifdef DEBUG
std::cout<<"Whaooo "<<biggest/smallest<<std::endl;
#endif
numRejected_[BigDynamic]++;
return BigDynamic;
}
if (offset) //if offset is zero current values are ok otherwise translate
{
int i2 = i - offset;
indices[i2] = indices[i];
elems[i2] = elems[i];
}
}
}
if ((n - offset) > maxNnz)
{
numRejected_[DenseCut] ++;
return DenseCut;
}
if (offset == n)
{
numRejected_[EmptyCut]++;
return EmptyCut;
}
if (offset)
vec->truncate(n - offset);
indices = vec->getIndices();
elems = vec->getElements();
n = vec->getNumElements();
aCut.setLb(rhs);
violation = aCut.violated(solCut);
if (violation < minViolation_)
{
numRejected_[SmallViolation]++;
return SmallViolation;
}
return NoneAccepted;
}
void
CoinShallowPackedVectorUnitTest()
{
CoinRelFltEq eq;
int i;
// Test default constructor
{
CoinShallowPackedVector r;
assert( r.indices_==NULL );
assert( r.elements_==NULL );
assert( r.nElements_==0 );
}
// Test set and get methods
const int ne = 4;
int inx[ne] = { 1, 3, 4, 7 };
double el[ne] = { 1.2, 3.4, 5.6, 7.8 };
{
CoinShallowPackedVector r;
assert( r.getNumElements()==0 );
// Test setting/getting elements with int* & double* vectors
r.setVector( ne, inx, el );
assert( r.getNumElements()==ne );
for ( i=0; i<ne; i++ ) {
assert( r.getIndices()[i] == inx[i] );
assert( r.getElements()[i] == el[i] );
}
assert ( r.getMaxIndex()==7 );
assert ( r.getMinIndex()==1 );
// try to clear it
r.clear();
assert( r.indices_==NULL );
assert( r.elements_==NULL );
assert( r.nElements_==0 );
// Test setting/getting elements with indices out of order
const int ne2 = 5;
int inx2[ne2] = { 2, 4, 8, 14, 3 };
double el2[ne2] = { 2.2, 4.4, 6.6, 8.8, 3.3 };
r.setVector(ne2,inx2,el2);
assert( r.getNumElements()==ne2 );
for (i = 0; i < ne2; ++i) {
assert( r.getIndices()[i]==inx2[i] );
assert( r.getElements()[i]==el2[i] );
}
assert ( r.getMaxIndex()==14 );
assert ( r.getMinIndex()==2 );
// try to call it once more
assert ( r.getMaxIndex()==14 );
assert ( r.getMinIndex()==2 );
CoinShallowPackedVector r1(ne2,inx2,el2);
assert( r == r1 );
// assignment operator
r1.clear();
r1 = r;
assert( r == r1 );
// assignment from packed vector
CoinPackedVector pv1(ne2,inx2,el2);
r1 = pv1;
assert( r == r1 );
// construction
CoinShallowPackedVector r2(r1);
assert( r2 == r );
// construction from packed vector
CoinShallowPackedVector r3(pv1);
assert( r3 == r );
// test duplicate indices
{
const int ne3 = 4;
int inx3[ne3] = { 2, 4, 2, 3 };
double el3[ne3] = { 2.2, 4.4, 8.8, 6.6 };
r.setVector(ne3,inx3,el3, false);
assert(r.testForDuplicateIndex() == false);
bool errorThrown = false;
try {
r.setTestForDuplicateIndex(true);
}
catch (CoinError& e) {
errorThrown = true;
}
assert( errorThrown );
r.clear();
errorThrown = false;
try {
r.setVector(ne3,inx3,el3);
}
catch (CoinError& e) {
errorThrown = true;
}
assert( errorThrown );
errorThrown = false;
try {
CoinShallowPackedVector r1(ne3,inx3,el3);
}
catch (CoinError& e) {
errorThrown = true;
}
assert( errorThrown );
}
}
// Test copy constructor and assignment operator
{
CoinShallowPackedVector rhs;
{
CoinShallowPackedVector r;
{
CoinShallowPackedVector rC1(r);
assert( 0==r.getNumElements() );
assert( 0==rC1.getNumElements() );
r.setVector( ne, inx, el );
assert( ne==r.getNumElements() );
assert( 0==rC1.getNumElements() );
}
CoinShallowPackedVector rC2(r);
assert( ne==r.getNumElements() );
assert( ne==rC2.getNumElements() );
for ( i=0; i<ne; i++ ) {
assert( r.getIndices()[i] == rC2.getIndices()[i] );
assert( r.getElements()[i] == rC2.getElements()[i] );
}
rhs=rC2;
}
// Test that rhs has correct values even though lhs has gone out of scope
assert( rhs.getNumElements()==ne );
for ( i=0; i<ne; i++ ) {
assert( inx[i] == rhs.getIndices()[i] );
assert( el[i] == rhs.getElements()[i] );
}
}
// Test operator==
{
CoinShallowPackedVector v1,v2;
assert( v1==v2 );
assert( v2==v1 );
assert( v1==v1 );
assert( !(v1!=v2) );
v1.setVector( ne, inx, el );
assert ( !(v1==v2) );
assert ( v1!=v2 );
CoinShallowPackedVector v3(v1);
assert( v3==v1 );
assert( v3!=v2 );
CoinShallowPackedVector v4(v2);
assert( v4!=v1 );
assert( v4==v2 );
}
{
// Test operator[] and isExistingIndex()
const int ne = 4;
int inx[ne] = { 1, 4, 0, 2 };
double el[ne] = { 10., 40., 1., 50. };
CoinShallowPackedVector r;
assert( r[1]==0. );
r.setVector(ne,inx,el);
assert( r[-1]==0. );
assert( r[ 0]==1. );
assert( r[ 1]==10.);
assert( r[ 2]==50.);
assert( r[ 3]==0. );
assert( r[ 4]==40.);
assert( r[ 5]==0. );
assert( r.isExistingIndex(2) );
assert( !r.isExistingIndex(3) );
assert( !r.isExistingIndex(-1) );
assert( r.isExistingIndex(0) );
assert( !r.isExistingIndex(3) );
assert( r.isExistingIndex(4) );
assert( !r.isExistingIndex(5) );
assert ( r.getMaxIndex()==4 );
assert ( r.getMinIndex()==0 );
}
// Test that attemping to get min/max index of a 0,
// length vector
{
CoinShallowPackedVector nullVec;
assert( nullVec.getMaxIndex() == -COIN_INT_MAX/*0*/ );
assert( nullVec.getMinIndex() == COIN_INT_MAX/*0*/ );
}
{
// test dense vector
const int ne = 4;
int inx[ne] = { 1, 4, 0, 2 };
double el[ne] = { 10., 40., 1., 50. };
CoinShallowPackedVector r;
r.setVector(ne,inx,el);
double * dense = r.denseVector(6);
assert(dense[0] == 1.);
assert(dense[1] == 10.);
assert(dense[2] == 50.);
assert(dense[3] == 0.);
assert(dense[4] == 40.);
assert(dense[5] == 0.);
delete[] dense;
// try once more
dense = r.denseVector(7);
assert(dense[0] == 1.);
assert(dense[1] == 10.);
assert(dense[2] == 50.);
assert(dense[3] == 0.);
assert(dense[4] == 40.);
assert(dense[5] == 0.);
assert(dense[6] == 0.);
delete[] dense;
}
#if 0
// what happens when someone sets
// the number of elements to be a negative number
{
const int ne = 4;
int inx1[ne] = { 1, 3, 4, 7 };
double el1[ne] = { 1.2, 3.4, 5.6, 7.8 };
CoinShallowPackedVector v1;
v1.setVector(-ne,inx1,el1);
}
#endif
// Test adding vectors
{
const int ne1 = 5;
int inx1[ne1] = { 1, 3, 4, 7, 5 };
double el1[ne1] = { 1., 5., 6., 2., 9. };
const int ne2 = 4;
int inx2[ne2] = { 7, 4, 2, 1 };
double el2[ne2] = { 7., 4., 2., 1. };
CoinShallowPackedVector v1;
v1.setVector(ne1,inx1,el1);
CoinShallowPackedVector v2;
v2.setVector(ne2,inx2,el2);
CoinPackedVector r = v1 + v2;
const int ner = 6;
int inxr[ner] = { 1, 2, 3, 4, 5, 7 };
double elr[ner] = { 1.+1., 0.+2., 5.+0., 6.+4., 9.+0., 2.+7. };
CoinPackedVector rV;
rV.setVector(ner,inxr,elr);
assert( rV != r );
assert( r.isEquivalent(rV) );
CoinPackedVector p1=v1+3.1415;
for ( i=0; i<p1.getNumElements(); i++ )
assert( eq( p1.getElements()[i], v1.getElements()[i]+3.1415) );
CoinPackedVector p2=(-3.1415) + p1;
assert( p2.isEquivalent(v1) );
}
// Test subtracting vectors
{
const int ne1 = 5;
int inx1[ne1] = { 1, 3, 4, 7, 5 };
double el1[ne1] = { 1., 5., 6., 2., 9. };
const int ne2 = 4;
int inx2[ne2] = { 7, 4, 2, 1 };
double el2[ne2] = { 7., 4., 2., 1. };
CoinShallowPackedVector v1;
v1.setVector(ne1,inx1,el1);
CoinShallowPackedVector v2;
v2.setVector(ne2,inx2,el2);
CoinPackedVector r = v1 - v2;
const int ner = 6;
int inxr[ner] = { 1, 2, 3, 4, 5, 7 };
double elr[ner] = { 1.-1., 0.-2., 5.-0., 6.-4., 9.-0., 2.-7. };
CoinPackedVector rV;
rV.setVector(ner,inxr,elr);
assert( r.isEquivalent(rV) );
CoinPackedVector p1=v1-3.1415;
for ( i=0; i<p1.getNumElements(); i++ )
assert( eq( p1.getElements()[i], v1.getElements()[i]-3.1415) );
}
// Test multiplying vectors
{
const int ne1 = 5;
int inx1[ne1] = { 1, 3, 4, 7, 5 };
double el1[ne1] = { 1., 5., 6., 2., 9. };
const int ne2 = 4;
int inx2[ne2] = { 7, 4, 2, 1 };
double el2[ne2] = { 7., 4., 2., 1. };
CoinShallowPackedVector v1;
v1.setVector(ne1,inx1,el1);
CoinShallowPackedVector v2;
v2.setVector(ne2,inx2,el2);
CoinPackedVector r = v1 * v2;
const int ner = 6;
int inxr[ner] = { 1, 2, 3, 4, 5, 7 };
double elr[ner] = { 1.*1., 0.*2., 5.*0., 6.*4., 9.*0., 2.*7. };
CoinPackedVector rV;
rV.setVector(ner,inxr,elr);
assert( r.isEquivalent(rV) );
CoinPackedVector p1=v1*3.3;
for ( i=0; i<p1.getNumElements(); i++ )
assert( eq( p1.getElements()[i], v1.getElements()[i]*3.3) );
CoinPackedVector p2=(1./3.3) * p1;
assert( p2.isEquivalent(v1) );
}
// Test dividing vectors
{
const int ne1 = 3;
int inx1[ne1] = { 1, 4, 7 };
double el1[ne1] = { 1., 6., 2. };
const int ne2 = 4;
int inx2[ne2] = { 7, 4, 2, 1 };
double el2[ne2] = { 7., 4., 2., 1. };
CoinShallowPackedVector v1;
v1.setVector(ne1,inx1,el1);
CoinShallowPackedVector v2;
v2.setVector(ne2,inx2,el2);
CoinPackedVector r = v1 / v2;
const int ner = 4;
int inxr[ner] = { 1, 2, 4, 7 };
double elr[ner] = { 1./1., 0./2., 6./4., 2./7. };
CoinPackedVector rV;
rV.setVector(ner,inxr,elr);
assert( r.isEquivalent(rV) );
CoinPackedVector p1=v1/3.1415;
for ( i=0; i<p1.getNumElements(); i++ )
assert( eq( p1.getElements()[i], v1.getElements()[i]/3.1415) );
}
// Test sum
{
CoinShallowPackedVector s;
assert( s.sum() == 0 );
int inx = 25;
double value = 45.;
s.setVector(1, &inx, &value);
assert(s.sum()==45.);
const int ne1 = 5;
int inx1[ne1] = { 10, 3, 4, 7, 5 };
double el1[ne1] = { 1., 5., 6., 2., 9. };
s.setVector(ne1,inx1,el1);
assert(s.sum()==1.+5.+6.+2.+9.);
}
// Just another interesting test
{
// Create numerator vector
const int ne1 = 2;
int inx1[ne1] = { 1, 4 };
double el1[ne1] = { 1., 6. };
CoinShallowPackedVector v1(ne1,inx1,el1);
// create denominator vector
const int ne2 = 3;
int inx2[ne2] = { 1, 2, 4 };
double el2[ne2] = { 1., 7., 4.};
CoinShallowPackedVector v2(ne2,inx2,el2);
// Compute ratio
CoinPackedVector ratio = v1 / v2;
// Sort ratios
ratio.sortIncrElement();
// Test that the sort really worked
assert( ratio.getElements()[0] == 0.0/7.0 );
assert( ratio.getElements()[1] == 1.0/1.0 );
assert( ratio.getElements()[2] == 6.0/4.0 );
// Get numerator of of sorted ratio vector
assert( v1[ ratio.getIndices()[0] ] == 0.0 );
assert( v1[ ratio.getIndices()[1] ] == 1.0 );
assert( v1[ ratio.getIndices()[2] ] == 6.0 );
// Get denominator of of sorted ratio vector
assert( v2[ ratio.getIndices()[0] ] == 7.0 );
assert( v2[ ratio.getIndices()[1] ] == 1.0 );
assert( v2[ ratio.getIndices()[2] ] == 4.0 );
}
{
// Test that sample usage works
const int ne = 4;
int inx[ne] = { 1, 4, 0, 2 };
double el[ne] = { 10., 40., 1., 50. };
CoinShallowPackedVector r(ne,inx,el);
assert( r.getIndices()[0]== 1 );
assert( r.getElements()[0]==10. );
assert( r.getIndices()[1]== 4 );
assert( r.getElements()[1]==40. );
assert( r.getIndices()[2]== 0 );
assert( r.getElements()[2]== 1. );
assert( r.getIndices()[3]== 2 );
assert( r.getElements()[3]==50. );
assert( r[ 0]==1. );
assert( r[ 1]==10.);
assert( r[ 2]==50.);
assert( r[ 3]==0. );
assert( r[ 4]==40.);
CoinShallowPackedVector r1;
r1=r;
assert( r==r1 );
CoinPackedVector add = r + r1;
assert( add[0] == 1.+ 1. );
assert( add[1] == 10.+10. );
assert( add[2] == 50.+50. );
assert( add[3] == 0.+ 0. );
assert( add[4] == 40.+40. );
assert( r.sum() == 10.+40.+1.+50. );
}
{
// Test findIndex
const int ne = 4;
int inx[ne] = { 1, -4, 0, 2 };
double el[ne] = { 10., 40., 1., 50. };
CoinShallowPackedVector r(ne,inx,el);
assert( r.findIndex(2) == 3 );
assert( r.findIndex(0) == 2 );
assert( r.findIndex(-4) == 1 );
assert( r.findIndex(1) == 0 );
assert( r.findIndex(3) == -1 );
}
{
// Test construction with testing for duplicates as false
const int ne = 4;
int inx[ne] = { 1, -4, 0, 2 };
double el[ne] = { 10., 40., 1., 50. };
CoinShallowPackedVector r(ne,inx,el,false);
assert( r.isExistingIndex(1) );
assert( r.isExistingIndex(-4) );
assert( r.isExistingIndex(0) );
assert( r.isExistingIndex(2) );
assert( !r.isExistingIndex(3) );
assert( !r.isExistingIndex(-3) );
}
}
//--------------------------------------------------------------------------
// test EKKsolution methods.
void
CglProbingUnitTest(
const OsiSolverInterface * baseSiP,
const std::string mpsDir )
{
# ifdef CGL_DEBUG
int i ; // define just once
# endif
CoinRelFltEq eq(0.000001);
// Test default constructor
{
CglProbing aGenerator;
}
// Test copy & assignment
{
CglProbing rhs;
{
CglProbing bGenerator;
CglProbing cGenerator(bGenerator);
rhs=bGenerator;
}
}
{
OsiCuts osicuts;
CglProbing test1;
OsiSolverInterface * siP = baseSiP->clone();
int nColCuts;
int nRowCuts;
std::string fn = mpsDir+"p0033";
siP->readMps(fn.c_str(),"mps");
siP->initialSolve();
// just unsatisfied variables
test1.generateCuts(*siP,osicuts);
nColCuts = osicuts.sizeColCuts();
nRowCuts = osicuts.sizeRowCuts();
std::cout<<"There are "<<nRowCuts<<" probing cuts"<<std::endl;
{
std::cout<<"there are "<<nColCuts<<" probing column cuts"<<std::endl;
#ifdef CGL_DEBUG
const double * lo = siP->getColLower();
const double * up = siP->getColUpper();
for (i=0; i<nColCuts; i++){
OsiColCut ccut;
CoinPackedVector cpv;
ccut = osicuts.colCut(i);
cpv = ccut.lbs();
int n = cpv.getNumElements();
int j;
const int * indices = cpv.getIndices();
double* elements = cpv.getElements();
for (j=0;j<n;j++) {
int icol=indices[j];
if (elements[j]>lo[icol])
std::cout<<"Can increase lb on "<<icol<<" from "<<lo[icol]<<
" to "<<elements[j]<<std::endl;
}
cpv = ccut.ubs();
n = cpv.getNumElements();
indices = cpv.getIndices();
elements = cpv.getElements();
for (j=0;j<n;j++) {
int icol=indices[j];
if (elements[j]<up[icol])
std::cout<<"Can decrease ub on "<<icol<<" from "<<up[icol]<<
" to "<<elements[j]<<std::endl;
}
}
#endif
}
#ifdef CGL_DEBUG
for (i=0; i<nRowCuts; i++){
OsiRowCut rcut;
CoinPackedVector rpv;
const double * colsol = siP->getColSolution();
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;
}
}
#endif
if (nRowCuts==1) {
CoinPackedVector check;
int index[] = {6,32};
double el[] = {1,1};
check.setVector(2,index,el);
// sort Elements in increasing order
CoinPackedVector rpv=osicuts.rowCut(0).row();
assert (rpv.getNumElements()==2);
rpv.sortIncrIndex();
assert (check==rpv);
assert (osicuts.rowCut(0).lb()==1.0);
}
// now all variables
osicuts=OsiCuts();
test1.setMode(2);
test1.setRowCuts(3);
test1.generateCuts(*siP,osicuts);
nColCuts = osicuts.sizeColCuts();
nRowCuts = osicuts.sizeRowCuts();
std::cout<<"There are "<<nRowCuts<<" probing cuts"<<std::endl;
{
std::cout<<"there are "<<nColCuts<<" probing column cuts"<<std::endl;
#ifdef CGL_DEBUG
const double * lo = siP->getColLower();
const double * up = siP->getColUpper();
for (i=0; i<nColCuts; i++){
OsiColCut ccut;
CoinPackedVector cpv;
ccut = osicuts.colCut(i);
cpv = ccut.lbs();
int n = cpv.getNumElements();
int j;
const int * indices = cpv.getIndices();
double* elements = cpv.getElements();
for (j=0;j<n;j++) {
int icol=indices[j];
if (elements[j]>lo[icol])
std::cout<<"Can increase lb on "<<icol<<" from "<<lo[icol]<<
" to "<<elements[j]<<std::endl;
}
cpv = ccut.ubs();
n = cpv.getNumElements();
indices = cpv.getIndices();
elements = cpv.getElements();
for (j=0;j<n;j++) {
int icol=indices[j];
if (elements[j]<up[icol])
std::cout<<"Can decrease ub on "<<icol<<" from "<<up[icol]<<
" to "<<elements[j]<<std::endl;
}
}
#endif
}
#ifdef CGL_DEBUG
for (i=0; i<nRowCuts; i++){
OsiRowCut rcut;
CoinPackedVector rpv;
const double * colsol = siP->getColSolution();
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;
}
}
#endif
assert (osicuts.sizeRowCuts()>=4);
delete siP;
}
}
void
CglLandPUnitTest(
OsiSolverInterface * si,
const std::string &mpsDir)
{
CoinRelFltEq eq(1e-05);
// Test default constructor
{
CglLandP aGenerator;
assert(aGenerator.parameter().pivotLimit==20);
assert(aGenerator.parameter().maxCutPerRound==5000);
assert(aGenerator.parameter().failedPivotLimit==1);
assert(aGenerator.parameter().degeneratePivotLimit==0);
assert(eq(aGenerator.parameter().pivotTol, 1e-04));
assert(eq(aGenerator.parameter().away, 5e-04));
assert(eq(aGenerator.parameter().timeLimit, COIN_DBL_MAX));
assert(eq(aGenerator.parameter().singleCutTimeLimit, COIN_DBL_MAX));
assert(aGenerator.parameter().useTableauRow==true);
assert(aGenerator.parameter().modularize==false);
assert(aGenerator.parameter().strengthen==true);
assert(aGenerator.parameter().perturb==true);
assert(aGenerator.parameter().pivotSelection==CglLandP::mostNegativeRc);
}
// Test copy constructor
{
CglLandP a;
{
CglLandP b;
b.parameter().pivotLimit = 100;
b.parameter().maxCutPerRound = 100;
b.parameter().failedPivotLimit = 10;
b.parameter().degeneratePivotLimit = 10;
b.parameter().pivotTol = 1e-07;
b.parameter().away = 1e-10;
b.parameter().timeLimit = 120;
b.parameter().singleCutTimeLimit = 15;
b.parameter().useTableauRow = true;
b.parameter().modularize = true;
b.parameter().strengthen = false;
b.parameter().perturb = false;
b.parameter().pivotSelection=CglLandP::bestPivot;
//Test Copy
CglLandP c(b);
assert(c.parameter().pivotLimit == 100);
assert(c.parameter().maxCutPerRound == 100);
assert(c.parameter().failedPivotLimit == 10);
assert(c.parameter().degeneratePivotLimit == 10);
assert(c.parameter().pivotTol == 1e-07);
assert(c.parameter().away == 1e-10);
assert(c.parameter().timeLimit == 120);
assert(c.parameter().singleCutTimeLimit == 15);
assert(c.parameter().useTableauRow == true);
assert(c.parameter().modularize == true);
assert(c.parameter().strengthen == false);
assert(c.parameter().perturb == false);
assert(c.parameter().pivotSelection == CglLandP::bestPivot);
a=b;
assert(a.parameter().pivotLimit == 100);
assert(a.parameter().maxCutPerRound == 100);
assert(a.parameter().failedPivotLimit == 10);
assert(a.parameter().degeneratePivotLimit == 10);
assert(a.parameter().pivotTol == 1e-07);
assert(a.parameter().away == 1e-10);
assert(a.parameter().timeLimit == 120);
assert(a.parameter().singleCutTimeLimit == 15);
assert(a.parameter().useTableauRow == true);
assert(a.parameter().modularize == true);
assert(a.parameter().strengthen == false);
assert(a.parameter().perturb == false);
assert(a.parameter().pivotSelection == CglLandP::bestPivot);
}
}
{
// Maximize 2 x2
// s.t.
// 2x1 + 2x2 <= 3
// -2x1 + 2x2 <= 1
// 7x1 + 4x2 <= 8
// -7x1 + 4x2 <= 1
// x1, x2 >= 0 and x1, x2 integer
// Slacks are s1, s2, s3, s4
//Test that problem is correct
// Optimal Basis is x1, x2, s3, s4 with tableau
// x1 0.25 s1 -0.25 s2 = 0.5
// x2 0.25 s1 0.25 s2 = 1
// -2.75 s1 0.75 s2 s3 = 0.5
// 0.75 s1 -2.75 s2 s4 = 0.5
// z= -0.25 s1 -0.25 s2 = -1
// Gomory cut from variable x1 is x2 <= 0.5
// Can be improved by first pivoting s2 in and s4 out, then s1 in and s3 out
// to x2 <= 0.25
{
int start[2] = {0,4};
int length[2] = {4,4};
int rows[8] = {0,1,2,3,0,1,2,3};
double elements[8] = {2.0,-2.0,7.0,-7.0,2.0,2.0,4.0,4.0};
CoinPackedMatrix columnCopy(true,4,2,8,elements,rows,start,length);
double rowLower[4]={-COIN_DBL_MAX,-COIN_DBL_MAX,
-COIN_DBL_MAX,-COIN_DBL_MAX};
double rowUpper[4]={3.,1.,8.,1.};
double colLower[2]={0.0,0.0};
double colUpper[2]={1.0,1.0};
double obj[2]={-1,-1};
int intVar[2]={0,1};
OsiSolverInterface * siP = si->clone();
siP->loadProblem(columnCopy, colLower, colUpper, obj, rowLower, rowUpper);
siP->setInteger(intVar,2);
CglLandP test;
test.setLogLevel(2);
test.parameter().sepSpace = CglLandP::Full;
siP->resolve();
// Test generateCuts method
{
OsiCuts cuts;
test.generateCuts(*siP,cuts);
cuts.printCuts();
assert(cuts.sizeRowCuts()==1);
OsiRowCut aCut = cuts.rowCut(0);
assert(eq(aCut.lb(), -.0714286));
CoinPackedVector row = aCut.row();
if (row.getNumElements() == 1)
{
assert(row.getIndices()[0]==1);
assert(eq(row.getElements()[0], -4*.0714286));
}
else if (row.getNumElements() == 2)
{
assert(row.getIndices()[0]==0);
assert(eq(row.getElements()[0], 0.));
assert(row.getIndices()[1]==1);
assert(eq(row.getElements()[1], -1));
}
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
}
if (0)
{
OsiCuts cuts;
test.generateCuts(*siP,cuts);
cuts.printCuts();
assert(cuts.sizeRowCuts()==1);
OsiRowCut aCut = cuts.rowCut(0);
CoinPackedVector row = aCut.row();
if (row.getNumElements() == 1)
{
assert(row.getIndices()[0]==1);
assert(eq(row.getElements()[0], -1));
}
else if (row.getNumElements() == 2)
{
assert(row.getIndices()[0]==0);
assert(eq(row.getElements()[0], 0.));
assert(row.getIndices()[1]==1);
assert(eq(row.getElements()[1], -1));
}
assert(eq(aCut.lb(), 0.));
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
}
delete siP;
}
}
if (1) //Test on p0033
{
// Setup
OsiSolverInterface * siP = si->clone();
std::string fn(mpsDir+"p0033");
siP->readMps(fn.c_str(),"mps");
siP->activateRowCutDebugger("p0033");
CglLandP 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) );
#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) );
std::cout<<"Relaxation after "<<lpRelaxAfter<<std::endl;
assert( lpRelaxAfter> 2840. );
#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;
}
if (1) //test again with modularization
{
// Setup
OsiSolverInterface * siP = si->clone();
std::string fn(mpsDir+"p0033");
siP->readMps(fn.c_str(),"mps");
siP->activateRowCutDebugger("p0033");
CglLandP test;
test.parameter().modularize = true;
// 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) );
#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) );
std::cout<<"Relaxation after "<<lpRelaxAfter<<std::endl;
assert( lpRelaxAfter> 2840. );
#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;
}
if (1) //test again with alternate pivoting rule
{
// Setup
OsiSolverInterface * siP = si->clone();
std::string fn(mpsDir+"p0033");
siP->readMps(fn.c_str(),"mps");
siP->activateRowCutDebugger("p0033");
CglLandP test;
test.parameter().pivotSelection = CglLandP::bestPivot;
// 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) );
#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) );
std::cout<<"Relaxation after "<<lpRelaxAfter<<std::endl;
assert( lpRelaxAfter> 2840. );
#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;
}
if (1) //Finally test code in documentation
{
// Setup
OsiSolverInterface * siP = si->clone();
std::string fn(mpsDir+"p0033");
siP->readMps(fn.c_str(),"mps");
siP->activateRowCutDebugger("p0033");
CglLandP landpGen;
landpGen.parameter().timeLimit = 10.;
landpGen.parameter().pivotLimit = 2;
// 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) );
#ifdef CGL_DEBUG
printf("\n\nOrig LP min=%f\n",lpRelaxBefore);
#endif
OsiCuts cuts;
// Test generateCuts method
landpGen.generateCuts(*siP, cuts);
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
double lpRelaxAfter=siP->getObjValue();
//assert( eq(lpRelaxAfter, 2592.1908295194507) );
std::cout<<"Relaxation after "<<lpRelaxAfter<<std::endl;
assert( lpRelaxAfter> 2840. );
#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;
}
}
//--------------------------------------------------------------------------
// ** 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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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
CoinBigIndex 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 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;
for (k=0; k<n; k++){
int column=indices[k];
sum2 += colsol[column]*elements[k];
}
double ub=rcut.ub();
#ifdef CGL_DEBUG
double lb=rcut.lb();
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;
}
#endif
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();
std::cout<<"Initial LP value: "<<lpRelaxBefore<<std::endl;
assert( eq(lpRelaxBefore, 2520.5717391304347) );
// Fails with OsiCpx, OsiXpr:
/**********
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);
****/
OsiCuts cuts;
// Test generateCuts method
test.generateCuts(*siP,cuts);
int nRowCuts = cuts.sizeRowCuts();
std::cout<<"There are "<<nRowCuts<<" Gomory cuts"<<std::endl;
assert(cuts.sizeRowCuts() > 0);
OsiSolverInterface::ApplyCutsReturnCode rc = siP->applyCuts(cuts);
siP->resolve();
double lpRelaxAfter=siP->getObjValue();
std::cout<<"LP value with cuts: "<<lpRelaxAfter<<std::endl;
//assert( eq(lpRelaxAfter, 2592.1908295194507) );
assert( lpRelaxAfter> 2550.0 );
assert( lpRelaxBefore < lpRelaxAfter );
assert(lpRelaxAfter < 3089.1);
delete siP;
}
}
SCIP_RETCODE SCIPconshdlrBenders::sepaBenders(
SCIP * scip,
SCIP_CONSHDLR * conshdlr,
SCIP_SOL * sol,
whereFrom where,
SCIP_RESULT * result)
{
OsiCuts cs; /**< Benders cut placeholder */
SCIP_Real * vals = NULL; /**< current solution */
#if 1
if (scip_checkpriority_ < 0)
{
/** consider incumbent solutions only */
double primObj = SCIPgetPrimalbound(scip);
double currObj = SCIPgetSolOrigObj(scip, sol);
if (SCIPisLT(scip, primObj, currObj))
{
DSPdebugMessage(" -> primObj %e currObj %e\n", primObj, currObj);
return SCIP_OKAY;
}
}
#endif
/** allocate memory */
SCIP_CALL(SCIPallocMemoryArray(scip, &vals, nvars_));
/** get current solution */
SCIP_CALL(SCIPgetSolVals(scip, sol, nvars_, vars_, vals));
/** TODO The following filter does not work, meaning that it provides suboptimal solution.
* I do not know the reason. */
#if 0
double maxviol = 1.e-10;
for (int j = 0; j < nvars_ - naux_; ++j)
{
SCIP_VARTYPE vartype = SCIPvarGetType(vars_[j]);
if (vartype == SCIP_VARTYPE_CONTINUOUS) continue;
double viol = 0.5 - fabs(vals[j] - floor(vals[j]) - 0.5);
if (viol > maxviol)
maxviol = viol;
}
DSPdebugMessage("maximum violation %e\n", maxviol);
if (where != from_scip_check &&
where != from_scip_enfolp &&
where != from_scip_enfops &&
maxviol > 1.e-7)
{
printf("where %d maxviol %e\n", where, maxviol);
/** free memory */
SCIPfreeMemoryArray(scip, &vals);
return SCIP_OKAY;
}
#endif
#ifdef DSP_DEBUG2
double minvals = COIN_DBL_MAX;
double maxvals = -COIN_DBL_MAX;
double sumvals = 0.;
double ssvals = 0.;
//printf("nvars_ %d naux_ %d nAuxvars_ %d\n", nvars_, naux_, tss_->nAuxvars_);
for (int j = 0; j < nvars_ - naux_; ++j)
{
// if (vals[j] < 0 || vals[j] > 1)
// printf("solution %d has value %e.\n", j, vals[j]);
sumvals += vals[j];
ssvals += vals[j] * vals[j];
minvals = minvals > vals[j] ? vals[j] : minvals;
maxvals = maxvals < vals[j] ? vals[j] : maxvals;
}
DSPdebugMessage("solution: min %e max %e avg %e sum %e two-norm %e\n",
minvals, maxvals, sumvals / nvars_, sumvals, sqrt(ssvals));
#endif
#define SCAN_GLOBAL_CUT_POOL
#ifdef SCAN_GLOBAL_CUT_POOL
if (SCIPgetStage(scip) == SCIP_STAGE_SOLVING ||
SCIPgetStage(scip) == SCIP_STAGE_SOLVED ||
SCIPgetStage(scip) == SCIP_STAGE_EXITSOLVE)
{
bool addedPoolCut = false;
int numPoolCuts = SCIPgetNPoolCuts(scip);
int numCutsToScan = 100;
SCIP_CUT ** poolcuts = SCIPgetPoolCuts(scip);
for (int i = numPoolCuts - 1; i >= 0; --i)
{
if (i < 0) break;
if (numCutsToScan == 0) break;
/** retrieve row */
SCIP_ROW * poolcutrow = SCIPcutGetRow(poolcuts[i]);
/** benders? */
if (strcmp(SCIProwGetName(poolcutrow), "benders") != 0)
continue;
/** counter */
numCutsToScan--;
if (SCIPgetCutEfficacy(scip, sol, poolcutrow) > 1.e-6)
{
if (where == from_scip_sepalp ||
where == from_scip_sepasol ||
where == from_scip_enfolp)
{
/** add cut */
SCIP_Bool infeasible;
SCIP_CALL(SCIPaddCut(scip, sol, poolcutrow,
FALSE, /**< force cut */
&infeasible));
if (infeasible)
*result = SCIP_CUTOFF;
else //if (*result != SCIP_CUTOFF)
*result = SCIP_SEPARATED;
}
else
*result = SCIP_INFEASIBLE;
addedPoolCut = true;
break;
}
}
if (addedPoolCut)
{
DSPdebugMessage("Added pool cut\n");
/** free memory */
SCIPfreeMemoryArray(scip, &vals);
return SCIP_OKAY;
}
}
#endif
/** generate Benders cuts */
assert(tss_);
tss_->generateCuts(nvars_, vals, &cs);
/** If found Benders cuts */
for (int i = 0; i < cs.sizeCuts(); ++i)
{
/** get cut pointer */
OsiRowCut * rc = cs.rowCutPtr(i);
if (!rc) continue;
const CoinPackedVector cutrow = rc->row();
if (cutrow.getNumElements() == 0) continue;
/** is optimality cut? */
bool isOptimalityCut = false;
for (int j = nvars_ - naux_; j < nvars_; ++j)
{
if (cutrow.getMaxIndex() == j)
{
isOptimalityCut = true;
break;
}
}
double efficacy = rc->violated(vals) / cutrow.twoNorm();
SCIP_Bool isEfficacious = efficacy > 1.e-6;
#define KK_TEST
#ifdef KK_TEST
if (SCIPgetStage(scip) == SCIP_STAGE_INITSOLVE ||
SCIPgetStage(scip) == SCIP_STAGE_SOLVING)
{
/** create empty row */
SCIP_ROW * row = NULL;
SCIP_CALL(SCIPcreateEmptyRowCons(scip, &row, conshdlr, "benders", rc->lb(), SCIPinfinity(scip),
FALSE, /**< is row local? */
FALSE, /**< is row modifiable? */
FALSE /**< is row removable? can this be TRUE? */));
/** cache the row extension and only flush them if the cut gets added */
SCIP_CALL(SCIPcacheRowExtensions(scip, row));
/** collect all non-zero coefficients */
for (int j = 0; j < cutrow.getNumElements(); ++j)
SCIP_CALL(SCIPaddVarToRow(scip, row, vars_[cutrow.getIndices()[j]], cutrow.getElements()[j]));
DSPdebugMessage("found Benders (%s) cut: act=%f, lhs=%f, norm=%f, eff=%f, min=%f, max=%f (range=%f)\n",
isOptimalityCut ? "opti" : "feas",
SCIPgetRowLPActivity(scip, row), SCIProwGetLhs(row), SCIProwGetNorm(row),
SCIPgetCutEfficacy(scip, sol, row),
SCIPgetRowMinCoef(scip, row), SCIPgetRowMaxCoef(scip, row),
SCIPgetRowMaxCoef(scip, row)/SCIPgetRowMinCoef(scip, row));
/** flush all changes before adding cut */
SCIP_CALL(SCIPflushRowExtensions(scip, row));
DSPdebugMessage("efficacy %e isEfficatious %d\n", efficacy, isEfficacious);
if (isEfficacious)
{
if (where == from_scip_sepalp ||
where == from_scip_sepasol ||
where == from_scip_enfolp)
{
/** add cut */
SCIP_Bool infeasible;
SCIP_CALL(SCIPaddCut(scip, sol, row,
FALSE, /**< force cut */
&infeasible));
if (infeasible)
*result = SCIP_CUTOFF;
else //if (*result != SCIP_CUTOFF)
*result = SCIP_SEPARATED;
}
else
*result = SCIP_INFEASIBLE;
}
/** add cut to global pool */
SCIP_CALL(SCIPaddPoolCut(scip, row));
DSPdebugMessage("number of cuts in global cut pool: %d\n", SCIPgetNPoolCuts(scip));
/** release the row */
SCIP_CALL(SCIPreleaseRow(scip, &row));
}
else if (isEfficacious &&
where != from_scip_sepalp &&
where != from_scip_sepasol &&
where != from_scip_enfolp)
*result = SCIP_INFEASIBLE;
#else
if (where == from_scip_sepalp ||
where == from_scip_sepasol ||
where == from_scip_enfolp)
{
/** create empty row */
SCIP_ROW * row = NULL;
SCIP_CALL(SCIPcreateEmptyRowCons(scip, &row, conshdlr, "benders", rc->lb(), SCIPinfinity(scip),
FALSE, /**< is row local? */
FALSE, /**< is row modifiable? */
FALSE /**< is row removable? can this be TRUE? */));
/** cache the row extension and only flush them if the cut gets added */
SCIP_CALL(SCIPcacheRowExtensions(scip, row));
/** collect all non-zero coefficients */
for (int j = 0; j < cutrow.getNumElements(); ++j)
SCIP_CALL(SCIPaddVarToRow(scip, row, vars_[cutrow.getIndices()[j]], cutrow.getElements()[j]));
DSPdebugMessage("found Benders (%s) cut: act=%f, lhs=%f, norm=%f, eff=%f, min=%f, max=%f (range=%f)\n",
isOptimalityCut ? "opti" : "feas",
SCIPgetRowLPActivity(scip, row), SCIProwGetLhs(row), SCIProwGetNorm(row),
SCIPgetCutEfficacy(scip, NULL, row),
SCIPgetRowMinCoef(scip, row), SCIPgetRowMaxCoef(scip, row),
SCIPgetRowMaxCoef(scip, row)/SCIPgetRowMinCoef(scip, row));
/** flush all changes before adding cut */
SCIP_CALL(SCIPflushRowExtensions(scip, row));
/** is cut efficacious? */
if (isOptimalityCut)
{
efficacy = SCIPgetCutEfficacy(scip, sol, row);
isEfficacious = SCIPisCutEfficacious(scip, sol, row);
}
else
{
efficacy = rc->violated(vals);
isEfficacious = efficacy > 1.e-6;
}
if (isEfficacious)
{
/** add cut */
SCIP_Bool infeasible;
SCIP_CALL(SCIPaddCut(scip, sol, row,
FALSE, /**< force cut */
&infeasible));
if (infeasible)
*result = SCIP_CUTOFF;
else if (*result != SCIP_CUTOFF)
*result = SCIP_SEPARATED;
}
/** add cut to global pool */
SCIP_CALL(SCIPaddPoolCut(scip, row));
/** release the row */
SCIP_CALL(SCIPreleaseRow(scip, &row));
}
else
{
if (isOptimalityCut)
{
efficacy = rc->violated(vals) / cutrow.twoNorm();
isEfficacious = efficacy > 0.05;
}
else
{
efficacy = rc->violated(vals);
isEfficacious = efficacy > 1.e-6;
}
DSPdebugMessage("%s efficacy %e\n", isOptimalityCut ? "Opti" : "Feas", efficacy);
if (isEfficacious == TRUE)
*result = SCIP_INFEASIBLE;
}
#endif
}
/** free memory */
SCIPfreeMemoryArray(scip, &vals);
return SCIP_OKAY;
}