void
CglClique::selectRowCliques(const OsiSolverInterface& si,int numOriginalRows)
{
const int numrows = si.getNumRows();
std::vector<int> clique(numrows, 1);
int i, j, k;
// First scan through the binary fractional variables and see where do they
// have a 1 coefficient
const CoinPackedMatrix& mcol = *si.getMatrixByCol();
for (j = 0; j < sp_numcols; ++j) {
const CoinShallowPackedVector& vec = mcol.getVector(sp_orig_col_ind[j]);
const int* ind = vec.getIndices();
const double* elem = vec.getElements();
for (i = vec.getNumElements() - 1; i >= 0; --i) {
if (elem[i] != 1.0) {
clique[ind[i]] = 0;
}
}
}
// Now check the sense and rhs (by checking rowupper) and the rest of the
// coefficients
const CoinPackedMatrix& mrow = *si.getMatrixByRow();
const double* rub = si.getRowUpper();
for (i = 0; i < numrows; ++i) {
if (rub[i] != 1.0||i>=numOriginalRows) {
clique[i] = 0;
continue;
}
if (clique[i] == 1) {
const CoinShallowPackedVector& vec = mrow.getVector(i);
const double* elem = vec.getElements();
for (j = vec.getNumElements() - 1; j >= 0; --j) {
if (elem[j] < 0) {
clique[i] = 0;
break;
}
}
}
}
// Finally collect the still standing rows into sp_orig_row_ind
sp_numrows = std::accumulate(clique.begin(), clique.end(), 0);
sp_orig_row_ind = new int[sp_numrows];
for (i = 0, k = 0; i < numrows; ++i) {
if (clique[i] == 1) {
sp_orig_row_ind[k++] = i;
}
}
}
// Redoes data when sequence numbers change
void
CbcBranchToFixLots::redoSequenceEtc(CbcModel * model, int numberColumns, const int * originalColumns)
{
model_ = model;
if (mark_) {
OsiSolverInterface * solver = model_->solver();
int numberColumnsNow = solver->getNumCols();
char * temp = new char[numberColumnsNow];
memset(temp, 0, numberColumnsNow);
for (int i = 0; i < numberColumns; i++) {
int j = originalColumns[i];
temp[i] = mark_[j];
}
delete [] mark_;
mark_ = temp;
}
OsiSolverInterface * solver = model_->solver();
matrixByRow_ = *solver->getMatrixByRow();
}
// Useful constructor
CbcFollowOn::CbcFollowOn (CbcModel * model)
: CbcObject(model)
{
assert (model);
OsiSolverInterface * solver = model_->solver();
matrix_ = *solver->getMatrixByCol();
matrix_.removeGaps();
matrix_.setExtraGap(0.0);
matrixByRow_ = *solver->getMatrixByRow();
int numberRows = matrix_.getNumRows();
rhs_ = new int[numberRows];
int i;
const double * rowLower = solver->getRowLower();
const double * rowUpper = solver->getRowUpper();
// Row copy
const double * elementByRow = matrixByRow_.getElements();
const int * column = matrixByRow_.getIndices();
const CoinBigIndex * rowStart = matrixByRow_.getVectorStarts();
const int * rowLength = matrixByRow_.getVectorLengths();
for (i = 0; i < numberRows; i++) {
rhs_[i] = 0;
double value = rowLower[i];
if (value == rowUpper[i]) {
if (floor(value) == value && value >= 1.0 && value < 10.0) {
// check elements
bool good = true;
for (int j = rowStart[i]; j < rowStart[i] + rowLength[i]; j++) {
int iColumn = column[j];
if (!solver->isBinary(iColumn))
good = false;
double elValue = elementByRow[j];
if (floor(elValue) != elValue || value < 1.0)
good = false;
}
if (good)
rhs_[i] = static_cast<int> (value);
}
}
}
}
/* Useful constructor - passed reduced cost tolerance and fraction we would like fixed.
Also depth level to do at.
Also passed number of 1 rows which when clean triggers fix
Always does if all 1 rows cleaned up and number>0 or if fraction columns reached
Also whether to create branch if can't reach fraction.
*/
CbcBranchToFixLots::CbcBranchToFixLots (CbcModel * model, double djTolerance,
double fractionFixed, int depth,
int numberClean,
const char * mark, bool alwaysCreate)
: CbcBranchCut(model)
{
djTolerance_ = djTolerance;
fractionFixed_ = fractionFixed;
if (mark) {
int numberColumns = model->getNumCols();
mark_ = new char[numberColumns];
memcpy(mark_, mark, numberColumns);
} else {
mark_ = NULL;
}
depth_ = depth;
assert (model);
OsiSolverInterface * solver = model_->solver();
matrixByRow_ = *solver->getMatrixByRow();
numberClean_ = numberClean;
alwaysCreate_ = alwaysCreate;
}
// Generate cuts
void
CglFakeClique::generateCuts(const OsiSolverInterface& si, OsiCuts & cs,
const CglTreeInfo info)
{
if (fakeSolver_) {
assert (si.getNumCols()==fakeSolver_->getNumCols());
fakeSolver_->setColLower(si.getColLower());
const double * solution = si.getColSolution();
fakeSolver_->setColSolution(solution);
fakeSolver_->setColUpper(si.getColUpper());
// get and set branch and bound cutoff
double cutoff;
si.getDblParam(OsiDualObjectiveLimit,cutoff);
fakeSolver_->setDblParam(OsiDualObjectiveLimit,COIN_DBL_MAX);
#ifdef COIN_HAS_CLP
OsiClpSolverInterface * clpSolver
= dynamic_cast<OsiClpSolverInterface *> (fakeSolver_);
if (clpSolver) {
// fix up fake solver
const ClpSimplex * siSimplex = clpSolver->getModelPtr();
// need to set djs
memcpy(siSimplex->primalColumnSolution(),
si.getReducedCost(),si.getNumCols()*sizeof(double));
fakeSolver_->setDblParam(OsiDualObjectiveLimit,cutoff);
}
#endif
const CoinPackedMatrix * matrixByRow = si.getMatrixByRow();
const double * elementByRow = matrixByRow->getElements();
const int * column = matrixByRow->getIndices();
const CoinBigIndex * rowStart = matrixByRow->getVectorStarts();
const int * rowLength = matrixByRow->getVectorLengths();
const double * rowUpper = si.getRowUpper();
const double * rowLower = si.getRowLower();
// Scan all rows looking for possibles
int numberRows = si.getNumRows();
double tolerance = 1.0e-3;
for (int iRow=0;iRow<numberRows;iRow++) {
CoinBigIndex start = rowStart[iRow];
CoinBigIndex end = start + rowLength[iRow];
double upRhs = rowUpper[iRow];
double loRhs = rowLower[iRow];
double sum = 0.0;
for (CoinBigIndex j=start;j<end;j++) {
int iColumn=column[j];
double value = elementByRow[j];
sum += solution[iColumn]*value;
}
if (sum<loRhs-tolerance||sum>upRhs+tolerance) {
// add as cut
OsiRowCut rc;
rc.setLb(loRhs);
rc.setUb(upRhs);
rc.setRow(end-start,column+start,elementByRow+start,false);
CoinAbsFltEq equal(1.0e-12);
cs.insertIfNotDuplicate(rc,equal);
}
}
CglClique::generateCuts(*fakeSolver_,cs,info);
if (probing_) {
probing_->generateCuts(*fakeSolver_,cs,info);
}
} else {
// just use real solver
CglClique::generateCuts(si,cs,info);
}
}
// Create a list of rows which might yield cuts
// The possible parameter is a list to cut down search
void CglOddHole::createRowList( const OsiSolverInterface & si,
const int * possible)
{
// Get basic problem information
int nRows=si.getNumRows();
const CoinPackedMatrix * rowCopy = si.getMatrixByRow();
const int * column = rowCopy->getIndices();
const CoinBigIndex * rowStart = rowCopy->getVectorStarts();
const int * rowLength = rowCopy->getVectorLengths();
int rowIndex;
delete [] suitableRows_;
numberRows_=nRows;
const double * rowElements = rowCopy->getElements();
const double * rowupper = si.getRowUpper();
const double * rowlower = si.getRowLower();
const double * collower = si.getColLower();
const double * colupper = si.getColUpper();
suitableRows_=new int[nRows];
if (possible) {
memcpy(suitableRows_,possible,nRows*sizeof(int));
} else {
int i;
for (i=0;i<nRows;i++) {
suitableRows_[i]=1;
}
}
for (rowIndex=0; rowIndex<nRows; rowIndex++){
double rhs1=rowupper[rowIndex];
double rhs2=rowlower[rowIndex];
if (suitableRows_[rowIndex]) {
int i;
bool goodRow=true;
for (i=rowStart[rowIndex];
i<rowStart[rowIndex]+rowLength[rowIndex];i++) {
int thisCol=column[i];
if (colupper[thisCol]-collower[thisCol]>epsilon_) {
// could allow general integer variables but unlikely
if (!si.isBinary(thisCol) ) {
goodRow=false;
break;
}
if (fabs(rowElements[i]-1.0)>epsilon_) {
goodRow=false;
break;
}
} else {
rhs1 -= collower[thisCol]*rowElements[i];
rhs2 -= collower[thisCol]*rowElements[i];
}
}
if (fabs(rhs1-1.0)>epsilon_&&fabs(rhs2-1.0)>epsilon_) {
goodRow=false;
}
if (goodRow) {
suitableRows_[rowIndex]=1;
} else {
suitableRows_[rowIndex]=0;
}
}
}
}
//-------------------------------------------------------------------------------
// Generate three cycle cuts
//-------------------------------------------------------------------
void CglOddHole::generateCuts(const OsiSolverInterface & si, OsiCuts & cs,
const CglTreeInfo info)
{
// Get basic problem information
int nRows=si.getNumRows();
int nCols=si.getNumCols();
const CoinPackedMatrix * rowCopy = si.getMatrixByRow();
// Could do cliques and extra OSL cliques
// For moment just easy ones
// If no information exists then get a list of suitable rows
// If it does then suitable rows are subset of information
CglOddHole temp;
int * checkRow = new int[nRows];
int i;
if (!suitableRows_) {
for (i=0;i<nRows;i++) {
checkRow[i]=1;
}
} else {
// initialize and extend rows to current size
memset(checkRow,0,nRows*sizeof(int));
memcpy(checkRow,suitableRows_,CoinMin(nRows,numberRows_)*sizeof(int));
}
temp.createRowList(si,checkRow);
// now cut down further by only allowing rows with fractional solution
double * solution = new double[nCols];
memcpy(solution,si.getColSolution(),nCols*sizeof(double));
const int * column = rowCopy->getIndices();
const CoinBigIndex * rowStart = rowCopy->getVectorStarts();
const int * rowLength = rowCopy->getVectorLengths();
const double * collower = si.getColLower();
const double * colupper = si.getColUpper();
int * suitable = temp.suitableRows_;
// At present I am using new and delete as easier to see arrays in debugger
int * fixed = new int[nCols]; // mark fixed columns
for (i=0;i<nCols;i++) {
if (si.isBinary(i) ) {
fixed[i]=0;
if (colupper[i]-collower[i]<epsilon_) {
solution[i]=0.0;
fixed[i]=2;
} else if (solution[i]<epsilon_) {
solution[i]=0.0;
fixed[i]=-1;
} else if (solution[i]>onetol_) {
solution[i]=1.0;
fixed[i]=+1;
}
} else {
//mark as fixed even if not (can not intersect any interesting rows)
solution[i]=0.0;
fixed[i]=3;
}
}
// first do packed
const double * rowlower = si.getRowLower();
const double * rowupper = si.getRowUpper();
for (i=0;i<nRows;i++) {
if (suitable[i]) {
int k;
double sum=0.0;
if (rowupper[i]>1.001) suitable[i]=-1;
for (k=rowStart[i]; k<rowStart[i]+rowLength[i];k++) {
int icol=column[k];
if (!fixed[icol]) sum += solution[icol];
}
if (sum<0.9) suitable[i]=-1; //say no good
}
}
#ifdef CGL_DEBUG
const OsiRowCutDebugger * debugger = si.getRowCutDebugger();
if (debugger&&!debugger->onOptimalPath(si))
debugger = NULL;
#else
const OsiRowCutDebugger * debugger = NULL;
#endif
temp.generateCuts(debugger, *rowCopy,solution,
si.getReducedCost(),cs,suitable,fixed,info,true);
// now cover
//if no >= then skip
bool doCover=false;
int nsuitable=0;
for (i=0;i<nRows;i++) {
suitable[i]=abs(suitable[i]);
if (suitable[i]) {
int k;
double sum=0.0;
if (rowlower[i]<0.999) sum=2.0;
if (rowupper[i]>1.001) doCover=true;
for (k=rowStart[i]; k<rowStart[i]+rowLength[i];k++) {
int icol=column[k];
if (!fixed[icol]) sum += solution[icol];
if (fixed[icol]==1) sum=2.0; //don't use if any at 1
}
if (sum>1.1) {
suitable[i]=-1; //say no good
} else {
nsuitable++;
}
}
}
if (doCover&&nsuitable)
temp.generateCuts(debugger, *rowCopy,solution,si.getReducedCost(),
cs,suitable,fixed,info,false);
delete [] checkRow;
delete [] solution;
delete [] fixed;
}
int * analyze(OsiClpSolverInterface * solverMod, int & numberChanged,
double & increment, bool changeInt,
CoinMessageHandler * generalMessageHandler, bool noPrinting)
{
bool noPrinting_ = noPrinting;
OsiSolverInterface * solver = solverMod->clone();
char generalPrint[200];
if (0) {
// just get increment
CbcModel model(*solver);
model.analyzeObjective();
double increment2 = model.getCutoffIncrement();
printf("initial cutoff increment %g\n", increment2);
}
const double *objective = solver->getObjCoefficients() ;
const double *lower = solver->getColLower() ;
const double *upper = solver->getColUpper() ;
int numberColumns = solver->getNumCols() ;
int numberRows = solver->getNumRows();
double direction = solver->getObjSense();
int iRow, iColumn;
// Row copy
CoinPackedMatrix matrixByRow(*solver->getMatrixByRow());
const double * elementByRow = matrixByRow.getElements();
const int * column = matrixByRow.getIndices();
const CoinBigIndex * rowStart = matrixByRow.getVectorStarts();
const int * rowLength = matrixByRow.getVectorLengths();
// Column copy
CoinPackedMatrix matrixByCol(*solver->getMatrixByCol());
const double * element = matrixByCol.getElements();
const int * row = matrixByCol.getIndices();
const CoinBigIndex * columnStart = matrixByCol.getVectorStarts();
const int * columnLength = matrixByCol.getVectorLengths();
const double * rowLower = solver->getRowLower();
const double * rowUpper = solver->getRowUpper();
char * ignore = new char [numberRows];
int * changed = new int[numberColumns];
int * which = new int[numberRows];
double * changeRhs = new double[numberRows];
memset(changeRhs, 0, numberRows*sizeof(double));
memset(ignore, 0, numberRows);
numberChanged = 0;
int numberInteger = 0;
for (iColumn = 0; iColumn < numberColumns; iColumn++) {
if (upper[iColumn] > lower[iColumn] + 1.0e-8 && solver->isInteger(iColumn))
numberInteger++;
}
bool finished = false;
while (!finished) {
int saveNumberChanged = numberChanged;
for (iRow = 0; iRow < numberRows; iRow++) {
int numberContinuous = 0;
double value1 = 0.0, value2 = 0.0;
bool allIntegerCoeff = true;
double sumFixed = 0.0;
int jColumn1 = -1, jColumn2 = -1;
for (CoinBigIndex j = rowStart[iRow]; j < rowStart[iRow] + rowLength[iRow]; j++) {
int jColumn = column[j];
double value = elementByRow[j];
if (upper[jColumn] > lower[jColumn] + 1.0e-8) {
if (!solver->isInteger(jColumn)) {
if (numberContinuous == 0) {
jColumn1 = jColumn;
value1 = value;
} else {
jColumn2 = jColumn;
value2 = value;
}
numberContinuous++;
} else {
if (fabs(value - floor(value + 0.5)) > 1.0e-12)
allIntegerCoeff = false;
}
} else {
sumFixed += lower[jColumn] * value;
}
}
double low = rowLower[iRow];
if (low > -1.0e20) {
low -= sumFixed;
if (fabs(low - floor(low + 0.5)) > 1.0e-12)
allIntegerCoeff = false;
}
double up = rowUpper[iRow];
if (up < 1.0e20) {
up -= sumFixed;
if (fabs(up - floor(up + 0.5)) > 1.0e-12)
allIntegerCoeff = false;
}
if (!allIntegerCoeff)
continue; // can't do
if (numberContinuous == 1) {
// see if really integer
// This does not allow for complicated cases
if (low == up) {
if (fabs(value1) > 1.0e-3) {
value1 = 1.0 / value1;
if (fabs(value1 - floor(value1 + 0.5)) < 1.0e-12) {
// integer
changed[numberChanged++] = jColumn1;
solver->setInteger(jColumn1);
if (upper[jColumn1] > 1.0e20)
solver->setColUpper(jColumn1, 1.0e20);
if (lower[jColumn1] < -1.0e20)
solver->setColLower(jColumn1, -1.0e20);
}
}
} else {
if (fabs(value1) > 1.0e-3) {
value1 = 1.0 / value1;
if (fabs(value1 - floor(value1 + 0.5)) < 1.0e-12) {
// This constraint will not stop it being integer
ignore[iRow] = 1;
}
}
}
} else if (numberContinuous == 2) {
if (low == up) {
/* need general theory - for now just look at 2 cases -
1 - +- 1 one in column and just costs i.e. matching objective
2 - +- 1 two in column but feeds into G/L row which will try and minimize
*/
if (fabs(value1) == 1.0 && value1*value2 == -1.0 && !lower[jColumn1]
&& !lower[jColumn2]) {
int n = 0;
int i;
double objChange = direction * (objective[jColumn1] + objective[jColumn2]);
double bound = CoinMin(upper[jColumn1], upper[jColumn2]);
bound = CoinMin(bound, 1.0e20);
for ( i = columnStart[jColumn1]; i < columnStart[jColumn1] + columnLength[jColumn1]; i++) {
int jRow = row[i];
double value = element[i];
if (jRow != iRow) {
which[n++] = jRow;
changeRhs[jRow] = value;
}
}
for ( i = columnStart[jColumn1]; i < columnStart[jColumn1] + columnLength[jColumn1]; i++) {
int jRow = row[i];
double value = element[i];
if (jRow != iRow) {
if (!changeRhs[jRow]) {
which[n++] = jRow;
changeRhs[jRow] = value;
} else {
changeRhs[jRow] += value;
}
}
}
if (objChange >= 0.0) {
// see if all rows OK
bool good = true;
for (i = 0; i < n; i++) {
int jRow = which[i];
double value = changeRhs[jRow];
if (value) {
value *= bound;
if (rowLength[jRow] == 1) {
if (value > 0.0) {
double rhs = rowLower[jRow];
if (rhs > 0.0) {
double ratio = rhs / value;
if (fabs(ratio - floor(ratio + 0.5)) > 1.0e-12)
good = false;
}
} else {
double rhs = rowUpper[jRow];
if (rhs < 0.0) {
double ratio = rhs / value;
if (fabs(ratio - floor(ratio + 0.5)) > 1.0e-12)
good = false;
}
}
} else if (rowLength[jRow] == 2) {
if (value > 0.0) {
if (rowLower[jRow] > -1.0e20)
good = false;
} else {
if (rowUpper[jRow] < 1.0e20)
good = false;
}
} else {
good = false;
}
}
}
if (good) {
// both can be integer
changed[numberChanged++] = jColumn1;
solver->setInteger(jColumn1);
if (upper[jColumn1] > 1.0e20)
solver->setColUpper(jColumn1, 1.0e20);
if (lower[jColumn1] < -1.0e20)
solver->setColLower(jColumn1, -1.0e20);
changed[numberChanged++] = jColumn2;
solver->setInteger(jColumn2);
if (upper[jColumn2] > 1.0e20)
solver->setColUpper(jColumn2, 1.0e20);
if (lower[jColumn2] < -1.0e20)
solver->setColLower(jColumn2, -1.0e20);
}
}
// clear
for (i = 0; i < n; i++) {
changeRhs[which[i]] = 0.0;
}
}
}
}
}
for (iColumn = 0; iColumn < numberColumns; iColumn++) {
if (upper[iColumn] > lower[iColumn] + 1.0e-8 && !solver->isInteger(iColumn)) {
double value;
value = upper[iColumn];
if (value < 1.0e20 && fabs(value - floor(value + 0.5)) > 1.0e-12)
continue;
value = lower[iColumn];
if (value > -1.0e20 && fabs(value - floor(value + 0.5)) > 1.0e-12)
continue;
bool integer = true;
for (CoinBigIndex j = columnStart[iColumn]; j < columnStart[iColumn] + columnLength[iColumn]; j++) {
int iRow = row[j];
if (!ignore[iRow]) {
integer = false;
break;
}
}
if (integer) {
// integer
changed[numberChanged++] = iColumn;
solver->setInteger(iColumn);
if (upper[iColumn] > 1.0e20)
solver->setColUpper(iColumn, 1.0e20);
if (lower[iColumn] < -1.0e20)
solver->setColLower(iColumn, -1.0e20);
}
}
}
finished = numberChanged == saveNumberChanged;
}
delete [] which;
delete [] changeRhs;
delete [] ignore;
//if (numberInteger&&!noPrinting_)
//printf("%d integer variables",numberInteger);
if (changeInt) {
//if (!noPrinting_) {
//if (numberChanged)
// printf(" and %d variables made integer\n",numberChanged);
//else
// printf("\n");
//}
//increment=0.0;
if (!numberChanged) {
delete [] changed;
delete solver;
return NULL;
} else {
for (iColumn = 0; iColumn < numberColumns; iColumn++) {
if (solver->isInteger(iColumn))
solverMod->setInteger(iColumn);
}
delete solver;
return changed;
}
} else {
//if (!noPrinting_) {
//if (numberChanged)
// printf(" and %d variables could be made integer\n",numberChanged);
//else
// printf("\n");
//}
// just get increment
int logLevel = generalMessageHandler->logLevel();
CbcModel model(*solver);
if (!model.defaultHandler())
model.passInMessageHandler(generalMessageHandler);
if (noPrinting_)
model.setLogLevel(0);
model.analyzeObjective();
generalMessageHandler->setLogLevel(logLevel);
double increment2 = model.getCutoffIncrement();
if (increment2 > increment && increment2 > 0.0) {
if (!noPrinting_) {
sprintf(generalPrint, "Cutoff increment increased from %g to %g", increment, increment2);
CoinMessages generalMessages = solverMod->getModelPtr()->messages();
generalMessageHandler->message(CLP_GENERAL, generalMessages)
<< generalPrint
<< CoinMessageEol;
}
increment = increment2;
}
delete solver;
numberChanged = 0;
delete [] changed;
return NULL;
}
}
//-----------------------------------------------------------------------------
// Generate Lift-and-Project cuts
//-------------------------------------------------------------------
void CglLiftAndProject::generateCuts(const OsiSolverInterface& si, OsiCuts& cs,
const CglTreeInfo /*info*/)
{
// Assumes the mixed 0-1 problem
//
// min {cx: <Atilde,x> >= btilde}
//
// is in canonical form with all bounds,
// including x_t>=0, -x_t>=-1 for x_t binary,
// explicitly stated in the constraint matrix.
// See ~/COIN/Examples/Cgl2/cgl2.cpp
// for a general purpose "convert" function.
// Reference [BCC]: Balas, Ceria, and Corneujols,
// "A lift-and-project cutting plane algorithm
// for mixed 0-1 program", Math Prog 58, (1993)
// 295-324.
// This implementation uses Normalization 1.
// Given canonical problem and
// the lp-relaxation solution, x,
// the LAP cut generator attempts to construct
// a cut for every x_j such that 0<x_j<1
// [BCC:307]
// x_j is the strictly fractional binary variable
// the cut is generated from
int j = 0;
// Get basic problem information
// let Atilde be an m by n matrix
const int m = si.getNumRows();
const int n = si.getNumCols();
const double * x = si.getColSolution();
// Remember - Atildes may have gaps..
const CoinPackedMatrix * Atilde = si.getMatrixByRow();
const double * AtildeElements = Atilde->getElements();
const int * AtildeIndices = Atilde->getIndices();
const CoinBigIndex * AtildeStarts = Atilde->getVectorStarts();
const int * AtildeLengths = Atilde->getVectorLengths();
const int AtildeFullSize = AtildeStarts[m];
const double * btilde = si.getRowLower();
// Set up memory for system (10) [BCC:307]
// (the problem over the norm intersected
// with the polar cone)
//
// min <<x^T,Atilde^T>,u> + x_ju_0
// s.t.
// <B,w> = (0,...,0,beta_,beta)^T
// w is nonneg for all but the
// last two entries, which are free.
// where
// w = (u,v,v_0,u_0)in BCC notation
// u and v are m-vectors; u,v >=0
// v_0 and u_0 are free-scalars, and
//
// B = Atilde^T -Atilde^T -e_j e_j
// btilde^T e_0^T 0 0
// e_0^T btilde^T 1 0
// ^T indicates Transpose
// e_0 is a (AtildeNCols x 1) vector of all zeros
// e_j is e_0 with a 1 in the jth position
// Storing B in column order. B is a (n+2 x 2m+2) matrix
// But need to allow for possible gaps in Atilde.
// At each iteration, only need to change 2 cols and objfunc
// Sane design of OsiSolverInterface does not permit mucking
// with matrix.
// Because we must delete and add cols to alter matrix,
// and we can only add columns on the end of the matrix
// put the v_0 and u_0 columns on the end.
// rather than as described in [BCC]
// Initially allocating B with space for v_0 and u_O cols
// but not populating, for efficiency.
// B without u_0 and v_0 is a (n+2 x 2m) size matrix.
int twoM = 2*m;
int BNumRows = n+2;
int BNumCols = twoM+2;
int BFullSize = 2*AtildeFullSize+twoM+3;
double * BElements = new double[BFullSize];
int * BIndices = new int[BFullSize];
CoinBigIndex * BStarts = new CoinBigIndex [BNumCols+1];
int * BLengths = new int[BNumCols];
int i, ij, k=0;
int nPlus1=n+1;
int offset = AtildeStarts[m]+m;
for (i=0; i<m; i++){
for (ij=AtildeStarts[i];ij<AtildeStarts[i]+AtildeLengths[i];ij++){
BElements[k]=AtildeElements[ij];
BElements[k+offset]=-AtildeElements[ij];
BIndices[k]= AtildeIndices[ij];
BIndices[k+offset]= AtildeIndices[ij];
k++;
}
BElements[k]=btilde[i];
BElements[k+offset]=btilde[i];
BIndices[k]=n;
BIndices[k+offset]=nPlus1;
BStarts[i]= AtildeStarts[i]+i;
BStarts[i+m]=offset+BStarts[i];// = AtildeStarts[m]+m+AtildeStarts[i]+i
BLengths[i]= AtildeLengths[i]+1;
BLengths[i+m]= AtildeLengths[i]+1;
k++;
}
BStarts[twoM]=BStarts[twoM-1]+BLengths[twoM-1];
// Cols that will be deleted each iteration
int BNumColsLessOne=BNumCols-1;
int BNumColsLessTwo=BNumCols-2;
const int delCols[2] = {BNumColsLessOne, BNumColsLessTwo};
// Set lower bound on u and v
// u_0, v_0 will be reset as free
const double solverINFINITY = si.getInfinity();
double * BColLowers = new double[BNumCols];
double * BColUppers = new double[BNumCols];
CoinFillN(BColLowers,BNumCols,0.0);
CoinFillN(BColUppers,BNumCols,solverINFINITY);
// Set row lowers and uppers.
// The rhs is zero, for but the last two rows.
// For these the rhs is beta_
double * BRowLowers = new double[BNumRows];
double * BRowUppers = new double[BNumRows];
CoinFillN(BRowLowers,BNumRows,0.0);
CoinFillN(BRowUppers,BNumRows,0.0);
BRowLowers[BNumRows-2]=beta_;
BRowUppers[BNumRows-2]=beta_;
BRowLowers[BNumRows-1]=beta_;
BRowUppers[BNumRows-1]=beta_;
// Calculate base objective <<x^T,Atilde^T>,u>
// Note: at each iteration coefficient u_0
// changes to <x^T,e_j>
// w=(u,v,beta,v_0,u_0) size 2m+3
// So, BOjective[2m+2]=x[j]
double * BObjective= new double[BNumCols];
double * Atildex = new double[m];
CoinFillN(BObjective,BNumCols,0.0);
Atilde->times(x,Atildex); // Atildex is size m, x is size n
CoinDisjointCopyN(Atildex,m,BObjective);
// Number of cols and size of Elements vector
// in B without the v_0 and u_0 cols
int BFullSizeLessThree = BFullSize-3;
// Load B matrix into a column orders CoinPackedMatrix
CoinPackedMatrix * BMatrix = new CoinPackedMatrix(true, BNumRows,
BNumColsLessTwo,
BFullSizeLessThree,
BElements,BIndices,
BStarts,BLengths);
// Assign problem into a solver interface
// Note: coneSi will cleanup the memory itself
OsiSolverInterface * coneSi = si.clone(false);
coneSi->assignProblem (BMatrix, BColLowers, BColUppers,
BObjective,
BRowLowers, BRowUppers);
// Problem sense should default to "min" by default,
// but just to be virtuous...
coneSi->setObjSense(1.0);
// The plot outline from here on down:
// coneSi has been assigned B without the u_0 and v_0 columns
// Calculate base objective <<x^T,Atilde^T>,u>
// bool haveWarmStart = false;
// For (j=0; j<n, j++)
// if (!isBinary(x_j) || x_j<=0 || x_j>=1) continue;
// // IMPROVEME: if(haveWarmStart) check if j attractive
// add {-e_j,0,-1} matrix column for v_0
// add {e_j,0,0} matrix column for u_0
// objective coefficient for u_0 is x_j
// if (haveWarmStart)
// set warmstart info
// solve min{objw:Bw=0; w>=0,except v_0, u_0 free}
// if (bounded)
// get warmstart info
// haveWarmStart=true;
// ustar = optimal u solution
// ustar_0 = optimal u_0 solution
// alpha^T= <ustar^T,Atilde> -ustar_0e_j^T
// (double check <alpha^T,x> >= beta_ should be violated)
// add <alpha^T,x> >= beta_ to cutset
// endif
// delete column for u_0 // this deletes all column info.
// delete column for v_0
// endFor
// clean up memory
// return 0;
int * nVectorIndices = new int[n];
CoinIotaN(nVectorIndices, n, 0);
bool haveWarmStart = false;
bool equalObj1, equalObj2;
CoinRelFltEq eq;
double v_0Elements[2] = {-1,1};
double u_0Elements[1] = {1};
CoinWarmStart * warmStart = 0;
double * ustar = new double[m];
CoinFillN(ustar, m, 0.0);
double* alpha = new double[n];
CoinFillN(alpha, n, 0.0);
for (j=0;j<n;j++){
if (!si.isBinary(j)) continue; // Better to ask coneSi? No!
// coneSi has no binInfo.
equalObj1=eq(x[j],0);
equalObj2=eq(x[j],1);
if (equalObj1 || equalObj2) continue;
// IMPROVEME: if (haveWarmStart) check if j attractive;
// AskLL:wanted to declare u_0 and v_0 packedVec outside loop
// and setIndices, but didn't see a method to do that(?)
// (Could "insert". Seems inefficient)
int v_0Indices[2]={j,nPlus1};
int u_0Indices[1]={j};
//
CoinPackedVector v_0(2,v_0Indices,v_0Elements,false);
CoinPackedVector u_0(1,u_0Indices,u_0Elements,false);
#if CGL_DEBUG
const CoinPackedMatrix *see1 = coneSi->getMatrixByRow();
#endif
coneSi->addCol(v_0,-solverINFINITY,solverINFINITY,0);
coneSi->addCol(u_0,-solverINFINITY,solverINFINITY,x[j]);
if(haveWarmStart) {
coneSi->setWarmStart(warmStart);
coneSi->resolve();
}
else {
#if CGL_DEBUG
const CoinPackedMatrix *see2 = coneSi->getMatrixByRow();
#endif
coneSi->initialSolve();
}
if(coneSi->isProvenOptimal()){
warmStart = coneSi->getWarmStart();
haveWarmStart=true;
const double * wstar = coneSi->getColSolution();
CoinDisjointCopyN(wstar, m, ustar);
Atilde->transposeTimes(ustar,alpha);
alpha[j]+=wstar[BNumCols-1];
#if debug
int p;
double sum;
for(p=0;p<n;p++)sum+=alpha[p]*x[p];
if (sum<=beta_){
throw CoinError("Cut not violated",
"cutGeneration",
"CglLiftAndProject");
}
#endif
// add <alpha^T,x> >= beta_ to cutset
OsiRowCut rc;
rc.setRow(n,nVectorIndices,alpha);
rc.setLb(beta_);
rc.setUb(solverINFINITY);
cs.insert(rc);
}
// delete col for u_o and v_0
coneSi->deleteCols(2,delCols);
// clean up memory
}
// clean up
delete [] alpha;
delete [] ustar;
delete [] nVectorIndices;
// BMatrix, BColLowers,BColUppers, BObjective, BRowLowers, BRowUppers
// are all freed by OsiSolverInterface destructor (?)
delete [] BLengths;
delete [] BStarts;
delete [] BIndices;
delete [] BElements;
}
//-------------------------------------------------------------------
// Determine row types. Find the VUBS and VLBS.
//-------------------------------------------------------------------
void
CglFlowCover::flowPreprocess(const OsiSolverInterface& si) const
{
CoinPackedMatrix matrixByRow(*si.getMatrixByRow());
int numRows = si.getNumRows();
int numCols = si.getNumCols();
const char* sense = si.getRowSense();
const double* RHS = si.getRightHandSide();
const double* coefByRow = matrixByRow.getElements();
const int* colInds = matrixByRow.getIndices();
const int* rowStarts = matrixByRow.getVectorStarts();
const int* rowLengths = matrixByRow.getVectorLengths();
int iRow = -1;
int iCol = -1;
numCols_ = numCols; // Record col and row numbers for copy constructor
numRows_ = numRows;
if (rowTypes_ != 0) {
delete [] rowTypes_; rowTypes_ = 0;
}
rowTypes_ = new CglFlowRowType [numRows];// Destructor will free memory
// Get integer types
const char * columnType = si.getColType (true);
// Summarize the row type infomation.
int numUNDEFINED = 0;
int numVARUB = 0;
int numVARLB = 0;
int numVAREQ = 0;
int numMIXUB = 0;
int numMIXEQ = 0;
int numNOBINUB = 0;
int numNOBINEQ = 0;
int numSUMVARUB = 0;
int numSUMVAREQ = 0;
int numUNINTERSTED = 0;
int* ind = new int [numCols];
double* coef = new double [numCols];
for (iRow = 0; iRow < numRows; ++iRow) {
int rowLen = rowLengths[iRow];
char sen = sense[iRow];
double rhs = RHS[iRow];
CoinDisjointCopyN(colInds + rowStarts[iRow], rowLen, ind);
CoinDisjointCopyN(coefByRow + rowStarts[iRow], rowLen, coef);
CglFlowRowType rowType = determineOneRowType(si, rowLen, ind, coef,
sen, rhs);
rowTypes_[iRow] = rowType;
switch(rowType) {
case CGLFLOW_ROW_UNDEFINED:
++numUNDEFINED;
break;
case CGLFLOW_ROW_VARUB:
++numVARUB;
break;
case CGLFLOW_ROW_VARLB:
++numVARLB;
break;
case CGLFLOW_ROW_VAREQ:
++numVAREQ;
break;
case CGLFLOW_ROW_MIXUB:
++numMIXUB;
break;
case CGLFLOW_ROW_MIXEQ:
++numMIXEQ;
break;
case CGLFLOW_ROW_NOBINUB:
++numNOBINUB;
break;
case CGLFLOW_ROW_NOBINEQ:
++numNOBINEQ;
break;
case CGLFLOW_ROW_SUMVARUB:
++numSUMVARUB;
break;
case CGLFLOW_ROW_SUMVAREQ:
++numSUMVAREQ;
break;
case CGLFLOW_ROW_UNINTERSTED:
++numUNINTERSTED;
break;
default:
throw CoinError("Unknown row type", "flowPreprocess",
"CglFlowCover");
}
}
delete [] ind; ind = NULL;
delete [] coef; coef = NULL;
if(CGLFLOW_DEBUG) {
std::cout << "The num of rows = " << numRows << std::endl;
std::cout << "Summary of Row Type" << std::endl;
std::cout << "numUNDEFINED = " << numUNDEFINED << std::endl;
std::cout << "numVARUB = " << numVARUB << std::endl;
std::cout << "numVARLB = " << numVARLB << std::endl;
std::cout << "numVAREQ = " << numVAREQ << std::endl;
std::cout << "numMIXUB = " << numMIXUB << std::endl;
std::cout << "numMIXEQ = " << numMIXEQ << std::endl;
std::cout << "numNOBINUB = " << numNOBINUB << std::endl;
std::cout << "numNOBINEQ = " << numNOBINEQ << std::endl;
std::cout << "numSUMVARUB = " << numSUMVARUB << std::endl;
std::cout << "numSUMVAREQ = " << numSUMVAREQ << std::endl;
std::cout << "numUNINTERSTED = " << numUNINTERSTED << std::endl;
}
//---------------------------------------------------------------------------
// Setup vubs_ and vlbs_
if (vubs_ != 0) { delete [] vubs_; vubs_ = 0; }
vubs_ = new CglFlowVUB [numCols]; // Destructor will free memory
if (vlbs_ != 0) { delete [] vlbs_; vlbs_ = 0; }
vlbs_ = new CglFlowVLB [numCols]; // Destructor will free memory
for (iCol = 0; iCol < numCols; ++iCol) { // Initilized in constructor
vubs_[iCol].setVar(UNDEFINED_); // but, need redo since may call
vlbs_[iCol].setVar(UNDEFINED_); // preprocess(...) more than once
}
for (iRow = 0; iRow < numRows; ++iRow) {
CglFlowRowType rowType2 = rowTypes_[iRow];
if ( (rowType2 == CGLFLOW_ROW_VARUB) ||
(rowType2 == CGLFLOW_ROW_VARLB) ||
(rowType2 == CGLFLOW_ROW_VAREQ) ) {
int startPos = rowStarts[iRow];
int index0 = colInds[startPos];
int index1 = colInds[startPos + 1];
double coef0 = coefByRow[startPos];
double coef1 = coefByRow[startPos + 1];
int xInd, yInd; // x is binary
double xCoef, yCoef;
if ( columnType[index0]==1 ) {
xInd = index0; yInd = index1;
xCoef = coef0; yCoef = coef1;
}
else {
xInd = index1; yInd = index0;
xCoef = coef1; yCoef = coef0;
}
switch (rowType2) {
case CGLFLOW_ROW_VARUB: // Inequality: y <= ? * x
vubs_[yInd].setVar(xInd);
vubs_[yInd].setVal(-xCoef / yCoef);
break;
case CGLFLOW_ROW_VARLB: // Inequality: y >= ? * x
vlbs_[yInd].setVar(xInd);
vlbs_[yInd].setVal(-xCoef / yCoef);
break;
case CGLFLOW_ROW_VAREQ: // Inequality: y >= AND <= ? * x
vubs_[yInd].setVar(xInd);
vubs_[yInd].setVal(-xCoef / yCoef);
vlbs_[yInd].setVar(xInd);
vlbs_[yInd].setVal(-xCoef / yCoef);
break;
default:
throw CoinError("Unknown row type: impossible",
"flowPreprocess", "CglFlowCover");
}
}
}
if(CGLFLOW_DEBUG) {
printVubs(std::cout);
}
}
//-----------------------------------------------------------------------------
// Generate LSGFC cuts
//-------------------------------------------------------------------
void CglFlowCover::generateCuts(const OsiSolverInterface & si, OsiCuts & cs,
const CglTreeInfo info) const
{
static int count=0;
if (getMaxNumCuts() <= 0) return;
if (getNumFlowCuts() >= getMaxNumCuts()) return;
++count;
#if 0
bool preInit = false;
bool preReso = false;
si.getHintParam(OsiDoPresolveInInitial, preInit);
si.getHintParam(OsiDoPresolveInResolve, preReso);
if (preInit == false && preReso == false) { // Do once
if (doneInitPre_ == false) {
flowPreprocess(si);
doneInitPre_ = true;
}
}
else
#endif
int numberRowCutsBefore = cs.sizeRowCuts();
flowPreprocess(si);
CoinPackedMatrix matrixByRow(*si.getMatrixByRow());
const char* sense = si.getRowSense();
const double* rhs = si.getRightHandSide();
const double* elementByRow = matrixByRow.getElements();
const int* colInd = matrixByRow.getIndices();
const CoinBigIndex* rowStart = matrixByRow.getVectorStarts();
const int* rowLength = matrixByRow.getVectorLengths();
int* ind = 0;
double* coef = 0;
int iRow, iCol;
CglFlowRowType rType;
for (iRow = 0; iRow < numRows_; ++iRow) {
rType = getRowType(iRow);
if( ( rType != CGLFLOW_ROW_MIXUB ) &&
( rType != CGLFLOW_ROW_MIXEQ ) &&
( rType != CGLFLOW_ROW_NOBINUB ) &&
( rType != CGLFLOW_ROW_NOBINEQ ) &&
( rType != CGLFLOW_ROW_SUMVARUB ) &&
( rType != CGLFLOW_ROW_SUMVAREQ ) )
continue;
const int sta = rowStart[iRow]; // Start position of iRow
const int rowLen = rowLength[iRow]; // iRow length / non-zero elements
if (ind != 0) { delete [] ind; ind = 0; }
ind = new int [rowLen];
if (coef != 0) { delete [] coef; coef = 0; }
coef = new double [rowLen];
int lastPos = sta + rowLen;
for (iCol = sta; iCol < lastPos; ++iCol) {
ind[iCol - sta] = colInd[iCol];
coef[iCol - sta] = elementByRow[iCol];
}
OsiRowCut flowCut1, flowCut2, flowCut3;
double violation = 0.0;
bool hasCut = false;
if (sense[iRow] == 'E') {
hasCut = generateOneFlowCut(si, rowLen, ind, coef, 'L',
rhs[iRow], flowCut1, violation);
if (hasCut) { // If find a cut
cs.insert(flowCut1);
incNumFlowCuts();
if (getNumFlowCuts() >= getMaxNumCuts())
break;
}
hasCut = false;
hasCut = generateOneFlowCut(si, rowLen, ind, coef, 'G',
rhs[iRow], flowCut2, violation);
if (hasCut) {
cs.insert(flowCut2);
incNumFlowCuts();
if (getNumFlowCuts() >= getMaxNumCuts())
break;
}
}
if (sense[iRow] == 'L' || sense[iRow] == 'G') {
hasCut = generateOneFlowCut(si, rowLen, ind, coef, sense[iRow],
rhs[iRow], flowCut3, violation);
if (hasCut) {
cs.insert(flowCut3);
incNumFlowCuts();
if (getNumFlowCuts() >= getMaxNumCuts())
break;
}
}
}
#ifdef CGLFLOW_DEBUG2
if(CGLFLOW_DEBUG) {
std::cout << "\nnumFlowCuts = "<< getNumFlowCuts() << std::endl;
std::cout << "CGLFLOW_COL_BINNEG = "<< CGLFLOW_COL_BINNEG << std::endl;
}
#endif
if (!info.inTree&&((info.options&4)==4||((info.options&8)&&!info.pass))) {
int numberRowCutsAfter = cs.sizeRowCuts();
for (int i=numberRowCutsBefore;i<numberRowCutsAfter;i++)
cs.rowCutPtr(i)->setGloballyValid();
}
if (ind != 0) { delete [] ind; ind = 0; }
if (coef != 0) { delete [] coef; coef = 0; }
}
//--------------------------------------------------------------------------
// test EKKsolution methods.
void
CglOddHoleUnitTest(
const OsiSolverInterface * baseSiP,
const std::string mpsDir )
{
CoinRelFltEq eq(0.000001);
// Test default constructor
{
CglOddHole aGenerator;
}
// Test copy & assignment
{
CglOddHole rhs;
{
CglOddHole bGenerator;
CglOddHole cGenerator(bGenerator);
rhs=bGenerator;
}
}
// test on simple case
{
const int nRows=3;
const int nCols=3;
const int nEls=6;
const double elem[]={1.0,1.0,1.0,1.0,1.0,1.0};
const int row[]={0,1,0,2,1,2};
const CoinBigIndex start[]={0,2,4};
const int len[]={2,2,2};
CoinPackedMatrix matrix(true,nRows,nCols,nEls,elem,row,start,len);
const double sol[]={0.5,0.5,0.5};
const double dj[]={0,0,0};
const int which[]={1,1,1};
const int fixed[]={0,0,0};
OsiCuts cs;
CglOddHole test1;
CglTreeInfo info;
info.randomNumberGenerator=NULL;
test1.generateCuts(NULL,matrix,sol,dj,cs,which,fixed,info,true);
CoinPackedVector check;
int index[] = {0,1,2};
double el[] = {1,1,1};
check.setVector(3,index,el);
//assert (cs.sizeRowCuts()==2);
assert (cs.sizeRowCuts()==1);
// sort Elements in increasing order
CoinPackedVector rpv=cs.rowCut(0).row();
rpv.sortIncrIndex();
assert (check==rpv);
}
// Testcase /u/rlh/osl2/mps/scOneInt.mps
// Model has 3 continous, 2 binary, and 1 general
// integer variable.
{
OsiSolverInterface * siP = baseSiP->clone();
std::string fn = mpsDir+"scOneInt";
siP->readMps(fn.c_str(),"mps");
#if 0
CglOddHole cg;
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()->getVectorSize(i);
assert(vectorsize==2);
}
kccg.cleanUpCutGenerator(complement,xstar);
#endif
delete siP;
}
}
//--------------------------------------------------------------------------
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
}
OsiSolverInterface *
expandKnapsack(CoinModel & model, int * whichColumn, int * knapsackStart,
int * knapsackRow, int &numberKnapsack,
CglStored & stored, int logLevel,
int fixedPriority, int SOSPriority, CoinModel & tightenedModel)
{
int maxTotal = numberKnapsack;
// load from coin model
OsiSolverLink *si = new OsiSolverLink();
OsiSolverInterface * finalModel = NULL;
si->setDefaultMeshSize(0.001);
// need some relative granularity
si->setDefaultBound(100.0);
si->setDefaultMeshSize(0.01);
si->setDefaultBound(100000.0);
si->setIntegerPriority(1000);
si->setBiLinearPriority(10000);
si->load(model, true, logLevel);
// get priorities
const int * priorities = model.priorities();
int numberColumns = model.numberColumns();
if (priorities) {
OsiObject ** objects = si->objects();
int numberObjects = si->numberObjects();
for (int iObj = 0; iObj < numberObjects; iObj++) {
int iColumn = objects[iObj]->columnNumber();
if (iColumn >= 0 && iColumn < numberColumns) {
#ifndef NDEBUG
OsiSimpleInteger * obj =
dynamic_cast <OsiSimpleInteger *>(objects[iObj]) ;
#endif
assert (obj);
int iPriority = priorities[iColumn];
if (iPriority > 0)
objects[iObj]->setPriority(iPriority);
}
}
if (fixedPriority > 0) {
si->setFixedPriority(fixedPriority);
}
if (SOSPriority < 0)
SOSPriority = 100000;
}
CoinModel coinModel = *si->coinModel();
assert(coinModel.numberRows() > 0);
tightenedModel = coinModel;
int numberRows = coinModel.numberRows();
// Mark variables
int * whichKnapsack = new int [numberColumns];
int iRow, iColumn;
for (iColumn = 0; iColumn < numberColumns; iColumn++)
whichKnapsack[iColumn] = -1;
int kRow;
bool badModel = false;
// analyze
if (logLevel > 1) {
for (iRow = 0; iRow < numberRows; iRow++) {
/* Just obvious one at first
positive non unit coefficients
all integer
positive rowUpper
for now - linear (but further down in code may use nonlinear)
column bounds should be tight
*/
//double lower = coinModel.getRowLower(iRow);
double upper = coinModel.getRowUpper(iRow);
if (upper < 1.0e10) {
CoinModelLink triple = coinModel.firstInRow(iRow);
bool possible = true;
int n = 0;
int n1 = 0;
while (triple.column() >= 0) {
int iColumn = triple.column();
const char * el = coinModel.getElementAsString(iRow, iColumn);
if (!strcmp("Numeric", el)) {
if (coinModel.columnLower(iColumn) == coinModel.columnUpper(iColumn)) {
triple = coinModel.next(triple);
continue; // fixed
}
double value = coinModel.getElement(iRow, iColumn);
if (value < 0.0) {
possible = false;
} else {
n++;
if (value == 1.0)
n1++;
if (coinModel.columnLower(iColumn) < 0.0)
possible = false;
if (!coinModel.isInteger(iColumn))
possible = false;
if (whichKnapsack[iColumn] >= 0)
possible = false;
}
} else {
possible = false; // non linear
}
triple = coinModel.next(triple);
}
if (n - n1 > 1 && possible) {
double lower = coinModel.getRowLower(iRow);
double upper = coinModel.getRowUpper(iRow);
CoinModelLink triple = coinModel.firstInRow(iRow);
while (triple.column() >= 0) {
int iColumn = triple.column();
lower -= coinModel.columnLower(iColumn) * triple.value();
upper -= coinModel.columnLower(iColumn) * triple.value();
triple = coinModel.next(triple);
}
printf("%d is possible %g <=", iRow, lower);
// print
triple = coinModel.firstInRow(iRow);
while (triple.column() >= 0) {
int iColumn = triple.column();
if (coinModel.columnLower(iColumn) != coinModel.columnUpper(iColumn))
printf(" (%d,el %g up %g)", iColumn, triple.value(),
coinModel.columnUpper(iColumn) - coinModel.columnLower(iColumn));
triple = coinModel.next(triple);
}
printf(" <= %g\n", upper);
}
}
}
}
numberKnapsack = 0;
for (kRow = 0; kRow < numberRows; kRow++) {
iRow = kRow;
/* Just obvious one at first
positive non unit coefficients
all integer
positive rowUpper
for now - linear (but further down in code may use nonlinear)
column bounds should be tight
*/
//double lower = coinModel.getRowLower(iRow);
double upper = coinModel.getRowUpper(iRow);
if (upper < 1.0e10) {
CoinModelLink triple = coinModel.firstInRow(iRow);
bool possible = true;
int n = 0;
int n1 = 0;
while (triple.column() >= 0) {
int iColumn = triple.column();
const char * el = coinModel.getElementAsString(iRow, iColumn);
if (!strcmp("Numeric", el)) {
if (coinModel.columnLower(iColumn) == coinModel.columnUpper(iColumn)) {
triple = coinModel.next(triple);
continue; // fixed
}
double value = coinModel.getElement(iRow, iColumn);
if (value < 0.0) {
possible = false;
} else {
n++;
if (value == 1.0)
n1++;
if (coinModel.columnLower(iColumn) < 0.0)
possible = false;
if (!coinModel.isInteger(iColumn))
possible = false;
if (whichKnapsack[iColumn] >= 0)
possible = false;
}
} else {
possible = false; // non linear
}
triple = coinModel.next(triple);
}
if (n - n1 > 1 && possible) {
// try
CoinModelLink triple = coinModel.firstInRow(iRow);
while (triple.column() >= 0) {
int iColumn = triple.column();
if (coinModel.columnLower(iColumn) != coinModel.columnUpper(iColumn))
whichKnapsack[iColumn] = numberKnapsack;
triple = coinModel.next(triple);
}
knapsackRow[numberKnapsack++] = iRow;
}
}
}
if (logLevel > 0)
printf("%d out of %d candidate rows are possible\n", numberKnapsack, numberRows);
// Check whether we can get rid of nonlinearities
/* mark rows
-2 in knapsack and other variables
-1 not involved
n only in knapsack n
*/
int * markRow = new int [numberRows];
for (iRow = 0; iRow < numberRows; iRow++)
markRow[iRow] = -1;
int canDo = 1; // OK and linear
for (iColumn = 0; iColumn < numberColumns; iColumn++) {
CoinModelLink triple = coinModel.firstInColumn(iColumn);
int iKnapsack = whichKnapsack[iColumn];
bool linear = true;
// See if quadratic objective
const char * expr = coinModel.getColumnObjectiveAsString(iColumn);
if (strcmp(expr, "Numeric")) {
linear = false;
}
while (triple.row() >= 0) {
int iRow = triple.row();
if (iKnapsack >= 0) {
if (markRow[iRow] == -1) {
markRow[iRow] = iKnapsack;
} else if (markRow[iRow] != iKnapsack) {
markRow[iRow] = -2;
}
}
const char * expr = coinModel.getElementAsString(iRow, iColumn);
if (strcmp(expr, "Numeric")) {
linear = false;
}
triple = coinModel.next(triple);
}
if (!linear) {
if (whichKnapsack[iColumn] < 0) {
canDo = 0;
break;
} else {
canDo = 2;
}
}
}
int * markKnapsack = NULL;
double * coefficient = NULL;
double * linear = NULL;
int * whichRow = NULL;
int * lookupRow = NULL;
badModel = (canDo == 0);
if (numberKnapsack && canDo) {
/* double check - OK if
no nonlinear
nonlinear only on columns in knapsack
nonlinear only on columns in knapsack * ONE other - same for all in knapsack
AND that is only row connected to knapsack
(theoretically could split knapsack if two other and small numbers)
also ONE could be ONE expression - not just a variable
*/
int iKnapsack;
markKnapsack = new int [numberKnapsack];
coefficient = new double [numberKnapsack];
linear = new double [numberColumns];
for (iKnapsack = 0; iKnapsack < numberKnapsack; iKnapsack++)
markKnapsack[iKnapsack] = -1;
if (canDo == 2) {
for (iRow = -1; iRow < numberRows; iRow++) {
int numberOdd;
CoinPackedMatrix * row = coinModel.quadraticRow(iRow, linear, numberOdd);
if (row) {
// see if valid
const double * element = row->getElements();
const int * column = row->getIndices();
const CoinBigIndex * columnStart = row->getVectorStarts();
const int * columnLength = row->getVectorLengths();
int numberLook = row->getNumCols();
for (int i = 0; i < numberLook; i++) {
int iKnapsack = whichKnapsack[i];
if (iKnapsack < 0) {
// might be able to swap - but for now can't have knapsack in
for (int j = columnStart[i]; j < columnStart[i] + columnLength[i]; j++) {
int iColumn = column[j];
if (whichKnapsack[iColumn] >= 0) {
canDo = 0; // no good
badModel = true;
break;
}
}
} else {
// OK if in same knapsack - or maybe just one
int marked = markKnapsack[iKnapsack];
for (int j = columnStart[i]; j < columnStart[i] + columnLength[i]; j++) {
int iColumn = column[j];
if (whichKnapsack[iColumn] != iKnapsack && whichKnapsack[iColumn] >= 0) {
canDo = 0; // no good
badModel = true;
break;
} else if (marked == -1) {
markKnapsack[iKnapsack] = iColumn;
marked = iColumn;
coefficient[iKnapsack] = element[j];
coinModel.associateElement(coinModel.columnName(iColumn), 1.0);
} else if (marked != iColumn) {
badModel = true;
canDo = 0; // no good
break;
} else {
// could manage with different coefficients - but for now ...
assert(coefficient[iKnapsack] == element[j]);
}
}
}
}
delete row;
}
}
}
if (canDo) {
// for any rows which are cuts
whichRow = new int [numberRows];
lookupRow = new int [numberRows];
bool someNonlinear = false;
double maxCoefficient = 1.0;
for (iKnapsack = 0; iKnapsack < numberKnapsack; iKnapsack++) {
if (markKnapsack[iKnapsack] >= 0) {
someNonlinear = true;
int iColumn = markKnapsack[iKnapsack];
maxCoefficient = CoinMax(maxCoefficient, fabs(coefficient[iKnapsack] * coinModel.columnUpper(iColumn)));
}
}
if (someNonlinear) {
// associate all columns to stop possible error messages
for (iColumn = 0; iColumn < numberColumns; iColumn++) {
coinModel.associateElement(coinModel.columnName(iColumn), 1.0);
}
}
ClpSimplex tempModel;
tempModel.loadProblem(coinModel);
// Create final model - first without knapsacks
int nCol = 0;
int nRow = 0;
for (iRow = 0; iRow < numberRows; iRow++) {
if (markRow[iRow] < 0) {
lookupRow[iRow] = nRow;
whichRow[nRow++] = iRow;
} else {
lookupRow[iRow] = -1;
}
}
for (iColumn = 0; iColumn < numberColumns; iColumn++) {
if (whichKnapsack[iColumn] < 0)
whichColumn[nCol++] = iColumn;
}
ClpSimplex finalModelX(&tempModel, nRow, whichRow, nCol, whichColumn, false, false, false);
OsiClpSolverInterface finalModelY(&finalModelX, true);
finalModel = finalModelY.clone();
finalModelY.releaseClp();
// Put back priorities
const int * priorities = model.priorities();
if (priorities) {
finalModel->findIntegers(false);
OsiObject ** objects = finalModel->objects();
int numberObjects = finalModel->numberObjects();
for (int iObj = 0; iObj < numberObjects; iObj++) {
int iColumn = objects[iObj]->columnNumber();
if (iColumn >= 0 && iColumn < nCol) {
#ifndef NDEBUG
OsiSimpleInteger * obj =
dynamic_cast <OsiSimpleInteger *>(objects[iObj]) ;
#endif
assert (obj);
int iPriority = priorities[whichColumn[iColumn]];
if (iPriority > 0)
objects[iObj]->setPriority(iPriority);
}
}
}
for (iRow = 0; iRow < numberRows; iRow++) {
whichRow[iRow] = iRow;
}
int numberOther = finalModel->getNumCols();
int nLargest = 0;
int nelLargest = 0;
int nTotal = 0;
for (iKnapsack = 0; iKnapsack < numberKnapsack; iKnapsack++) {
iRow = knapsackRow[iKnapsack];
int nCreate = maxTotal;
int nelCreate = coinModel.expandKnapsack(iRow, nCreate, NULL, NULL, NULL, NULL);
if (nelCreate < 0)
badModel = true;
nTotal += nCreate;
nLargest = CoinMax(nLargest, nCreate);
nelLargest = CoinMax(nelLargest, nelCreate);
}
if (nTotal > maxTotal)
badModel = true;
if (!badModel) {
// Now arrays for building
nelLargest = CoinMax(nelLargest, nLargest) + 1;
double * buildObj = new double [nLargest];
double * buildElement = new double [nelLargest];
int * buildStart = new int[nLargest+1];
int * buildRow = new int[nelLargest];
// alow for integers in knapsacks
OsiObject ** object = new OsiObject * [numberKnapsack+nTotal];
int nSOS = 0;
int nObj = numberKnapsack;
for (iKnapsack = 0; iKnapsack < numberKnapsack; iKnapsack++) {
knapsackStart[iKnapsack] = finalModel->getNumCols();
iRow = knapsackRow[iKnapsack];
int nCreate = 10000;
coinModel.expandKnapsack(iRow, nCreate, buildObj, buildStart, buildRow, buildElement);
// Redo row numbers
for (iColumn = 0; iColumn < nCreate; iColumn++) {
for (int j = buildStart[iColumn]; j < buildStart[iColumn+1]; j++) {
int jRow = buildRow[j];
jRow = lookupRow[jRow];
assert (jRow >= 0 && jRow < nRow);
buildRow[j] = jRow;
}
}
finalModel->addCols(nCreate, buildStart, buildRow, buildElement, NULL, NULL, buildObj);
int numberFinal = finalModel->getNumCols();
for (iColumn = numberOther; iColumn < numberFinal; iColumn++) {
if (markKnapsack[iKnapsack] < 0) {
finalModel->setColUpper(iColumn, maxCoefficient);
finalModel->setInteger(iColumn);
} else {
finalModel->setColUpper(iColumn, maxCoefficient + 1.0);
finalModel->setInteger(iColumn);
}
OsiSimpleInteger * sosObject = new OsiSimpleInteger(finalModel, iColumn);
sosObject->setPriority(1000000);
object[nObj++] = sosObject;
buildRow[iColumn-numberOther] = iColumn;
buildElement[iColumn-numberOther] = 1.0;
}
if (markKnapsack[iKnapsack] < 0) {
// convexity row
finalModel->addRow(numberFinal - numberOther, buildRow, buildElement, 1.0, 1.0);
} else {
int iColumn = markKnapsack[iKnapsack];
int n = numberFinal - numberOther;
buildRow[n] = iColumn;
buildElement[n++] = -fabs(coefficient[iKnapsack]);
// convexity row (sort of)
finalModel->addRow(n, buildRow, buildElement, 0.0, 0.0);
OsiSOS * sosObject = new OsiSOS(finalModel, n - 1, buildRow, NULL, 1);
sosObject->setPriority(iKnapsack + SOSPriority);
// Say not integral even if is (switch off heuristics)
sosObject->setIntegerValued(false);
object[nSOS++] = sosObject;
}
numberOther = numberFinal;
}
finalModel->addObjects(nObj, object);
for (iKnapsack = 0; iKnapsack < nObj; iKnapsack++)
delete object[iKnapsack];
delete [] object;
// Can we move any rows to cuts
const int * cutMarker = coinModel.cutMarker();
if (cutMarker && 0) {
printf("AMPL CUTS OFF until global cuts fixed\n");
cutMarker = NULL;
}
if (cutMarker) {
// Row copy
const CoinPackedMatrix * matrixByRow = finalModel->getMatrixByRow();
const double * elementByRow = matrixByRow->getElements();
const int * column = matrixByRow->getIndices();
const CoinBigIndex * rowStart = matrixByRow->getVectorStarts();
const int * rowLength = matrixByRow->getVectorLengths();
const double * rowLower = finalModel->getRowLower();
const double * rowUpper = finalModel->getRowUpper();
int nDelete = 0;
for (iRow = 0; iRow < numberRows; iRow++) {
if (cutMarker[iRow] && lookupRow[iRow] >= 0) {
int jRow = lookupRow[iRow];
whichRow[nDelete++] = jRow;
int start = rowStart[jRow];
stored.addCut(rowLower[jRow], rowUpper[jRow],
rowLength[jRow], column + start, elementByRow + start);
}
}
finalModel->deleteRows(nDelete, whichRow);
}
knapsackStart[numberKnapsack] = finalModel->getNumCols();
delete [] buildObj;
delete [] buildElement;
delete [] buildStart;
delete [] buildRow;
finalModel->writeMps("full");
}
}
}
delete [] whichKnapsack;
delete [] markRow;
delete [] markKnapsack;
delete [] coefficient;
delete [] linear;
delete [] whichRow;
delete [] lookupRow;
delete si;
si = NULL;
if (!badModel && finalModel) {
finalModel->setDblParam(OsiObjOffset, coinModel.objectiveOffset());
return finalModel;
} else {
delete finalModel;
printf("can't make knapsacks - did you set fixedPriority (extra1)\n");
return NULL;
}
}
