//Assemble the vectors of parameter/observable names needed
void SumPDF::MakePrototypes( PhaseSpaceBoundary * InputBoundary )
{
//Make sure the ratio of the two PDFs is included
vector<string> secondParameterSet = secondPDF->GetPrototypeParameterSet();
secondParameterSet.push_back(fractionName);
//Make the prototype parameter set
prototypeParameterSet = StringProcessing::CombineUniques( firstPDF->GetPrototypeParameterSet(), secondParameterSet );
//Make the prototype data point
vector<string> firstObservables = firstPDF->GetPrototypeDataPoint();
vector<string> secondObservables = secondPDF->GetPrototypeDataPoint();
prototypeDataPoint = StringProcessing::CombineUniques( firstObservables, secondObservables );
//Make the do not integrate list
doNotIntegrateList = StringProcessing::CombineUniques( firstPDF->GetDoNotIntegrateList(), secondPDF->GetDoNotIntegrateList() );
//Make the correctionss to the integrals for observables unused by only one PDF
vector<string>::iterator observableIterator;
IConstraint * inputConstraint;
firstIntegralCorrection = 1.0;
secondIntegralCorrection = 1.0;
bool doIntegrate=false;
for ( observableIterator = firstObservables.begin(); observableIterator != firstObservables.end(); ++observableIterator )
{
if ( StringProcessing::VectorContains( &secondObservables, &(*observableIterator) ) == -1 )
{
//The first PDF uses this observable, the second doesn't
inputConstraint = InputBoundary->GetConstraint( *observableIterator );
doIntegrate = ( StringProcessing::VectorContains( &doNotIntegrateList, &(*observableIterator) ) == -1 );
//Update this integral correction
if ( !inputConstraint->IsDiscrete() && doIntegrate )
{
secondIntegralCorrection *= ( inputConstraint->GetMaximum() - inputConstraint->GetMinimum() );
}
}
}
for ( observableIterator = secondObservables.begin(); observableIterator != secondObservables.end(); ++observableIterator )
{
if ( StringProcessing::VectorContains( &firstObservables, &(*observableIterator) ) == -1 )
{
//The second PDF uses this observable, the first doesn't
inputConstraint = InputBoundary->GetConstraint( *observableIterator );
doIntegrate = ( StringProcessing::VectorContains( &doNotIntegrateList, &(*observableIterator) ) == -1 );
//Update this integral correction
if ( !inputConstraint->IsDiscrete() && doIntegrate )
{
firstIntegralCorrection *= ( inputConstraint->GetMaximum() - inputConstraint->GetMinimum() );
}
}
}
}
void copyPhaseSpaceBoundary( PhaseSpaceBoundary * newBoundary, PhaseSpaceBoundary * oldBoundary )
{
vector<string> names = oldBoundary->GetAllNames();
vector<string>::iterator nameIter = names.begin();
vector<double> values;
double min, max;
string unit;
for ( ; nameIter != names.end(); ++nameIter )
{
IConstraint * constraint = oldBoundary->GetConstraint( *nameIter );
unit = constraint->GetUnit();
if ( constraint->IsDiscrete() )
{
values = constraint->GetValues();
newBoundary->SetConstraint( *nameIter, values, unit );
}
else {
min = constraint->GetMinimum();
max = constraint->GetMaximum();
newBoundary->SetConstraint( *nameIter, min, max, unit );
}
}
}
//Constructor with correct argument
MakeFoam::MakeFoam( IPDF * InputPDF, PhaseSpaceBoundary * InputBoundary, DataPoint * InputPoint ) : finishedCells(), centerPoints(), centerValues(), cellIntegrals(), integratePDF(InputPDF)
{
//Make the container to hold the possible cells
queue<PhaseSpaceBoundary*> possibleCells;
PhaseSpaceBoundary* firstCell = InputBoundary;
possibleCells.push(firstCell);
//Make a list of observables to integrate over
vector<string> doIntegrate, dontIntegrate;
vector<string> pdfDontIntegrate = InputPDF->GetDoNotIntegrateList();
StatisticsFunctions::DoDontIntegrateLists( InputPDF, InputBoundary, &(pdfDontIntegrate), doIntegrate, dontIntegrate );
//Continue until all possible cells have been examined
while ( !possibleCells.empty() )
{
//Remove the next possible cell
PhaseSpaceBoundary* currentCell = possibleCells.front();
possibleCells.pop();
//Set up the histogram storage
vector< vector<double> > histogramBinHeights, histogramBinMiddles, histogramBinMaxes;
double normalisation = 0.0;
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
vector<double> binHeights, binMiddles, binMaxes;
IConstraint * temporaryConstraint = currentCell->GetConstraint( doIntegrate[observableIndex] );
double minimum = temporaryConstraint->GetMinimum();
double delta = ( temporaryConstraint->GetMaximum() - minimum ) / (double)HISTOGRAM_BINS;
//Loop over bins
for (int binIndex = 0; binIndex < HISTOGRAM_BINS; ++binIndex )
{
binHeights.push_back(0.0);
binMiddles.push_back( minimum + ( delta * ( binIndex + 0.5 ) ) );
binMaxes.push_back( minimum + ( delta * ( binIndex + 1.0 ) ) );
}
histogramBinHeights.push_back(binHeights);
histogramBinMiddles.push_back(binMiddles);
histogramBinMaxes.push_back(binMaxes);
}
//MC sample the cell, make projections, sort of
for (int sampleIndex = 0; sampleIndex < MAXIMUM_SAMPLES; ++sampleIndex )
{
//Create a data point within the current cell
DataPoint samplePoint( InputPoint->GetAllNames() );
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
//Generate random values to explore integrable observables
IConstraint * temporaryConstraint = currentCell->GetConstraint( doIntegrate[observableIndex] );
samplePoint.SetObservable( doIntegrate[observableIndex], temporaryConstraint->CreateObservable() );
}
for (unsigned int observableIndex = 0; observableIndex < dontIntegrate.size(); ++observableIndex )
{
//Use given values for unintegrable observables
Observable * temporaryObservable = new Observable( *(InputPoint->GetObservable( dontIntegrate[observableIndex] )) );
samplePoint.SetObservable( dontIntegrate[observableIndex], temporaryObservable );
delete temporaryObservable;
}
//Evaluate the function at this point
double sampleValue = InputPDF->Evaluate( &samplePoint );
normalisation += sampleValue;
//Populate the histogram
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
double observableValue = samplePoint.GetObservable( doIntegrate[observableIndex] )->GetValue();
for ( int binIndex = 0; binIndex < HISTOGRAM_BINS; ++binIndex )
{
if ( observableValue < histogramBinMaxes[observableIndex][unsigned(binIndex)] )
{
histogramBinHeights[observableIndex][unsigned(binIndex)] += sampleValue;
break;
}
}
}
}
//Normalise the histograms
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
for ( int binIndex = 0; binIndex < HISTOGRAM_BINS; ++binIndex )
{
histogramBinHeights[observableIndex][unsigned(binIndex)] /= normalisation;
}
}
//Find the maximum gradient
vector<double> midPoints;
string maximumGradientObservable, unit;
double maximumGradient=0.;
double lowPoint=0.;
double splitPoint=0.;
double highPoint=0.;
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
//Find the size of the cell in this observable
IConstraint * temporaryConstraint = currentCell->GetConstraint( doIntegrate[observableIndex] );
double cellMaximum = temporaryConstraint->GetMaximum();
double cellMinimum = temporaryConstraint->GetMinimum();
//Store the mid point
double observableMiddle = cellMinimum + ( ( cellMaximum - cellMinimum ) / 2.0 );
midPoints.push_back(observableMiddle);
for ( int binIndex = 1; binIndex < HISTOGRAM_BINS; ++binIndex )
{
double gradient = abs( histogramBinHeights[observableIndex][ unsigned(binIndex - 1) ] - histogramBinHeights[observableIndex][unsigned(binIndex)] );
//Update maximum
if ( ( observableIndex == 0 && binIndex == 1 ) || gradient > maximumGradient )
{
maximumGradient = gradient;
maximumGradientObservable = doIntegrate[observableIndex];
unit = temporaryConstraint->GetUnit();
highPoint = cellMaximum;
splitPoint = ( histogramBinMiddles[observableIndex][ unsigned(binIndex - 1) ] + histogramBinMiddles[observableIndex][unsigned(binIndex)] ) / 2.0;
lowPoint = cellMinimum;
}
}
}
//If the maximum gradient is within tolerance, the cell is finished
if ( maximumGradient < MAXIMUM_GRADIENT_TOLERANCE )
{
//Store the finished cell
finishedCells.push_back(currentCell);
//Create a data point at the center of the current cell
DataPoint* cellCenter = new DataPoint( InputPoint->GetAllNames() );
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
//Use the mid points for the integrable values
Observable * temporaryObservable = cellCenter->GetObservable( doIntegrate[observableIndex] );
Observable* temporaryObservable2 = new Observable( temporaryObservable->GetName(), midPoints[observableIndex], temporaryObservable->GetUnit() );
cellCenter->SetObservable( doIntegrate[observableIndex], temporaryObservable2 );
delete temporaryObservable2;
}
for (unsigned int observableIndex = 0; observableIndex < dontIntegrate.size(); ++observableIndex )
{
//Use given values for unintegrable observables
Observable * temporaryObservable = new Observable( *(InputPoint->GetObservable( dontIntegrate[observableIndex] )) );
cellCenter->SetObservable( dontIntegrate[observableIndex], temporaryObservable );
delete temporaryObservable;
}
//Store the center point
centerPoints.push_back(cellCenter);
}
else
{
//Create two cells to replace the current cell
PhaseSpaceBoundary* daughterCell1 = new PhaseSpaceBoundary( currentCell->GetAllNames() );
PhaseSpaceBoundary* daughterCell2 = new PhaseSpaceBoundary( currentCell->GetAllNames() );
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
IConstraint * temporaryConstraint = currentCell->GetConstraint( doIntegrate[observableIndex] );
if ( doIntegrate[observableIndex] == maximumGradientObservable )
{
//Split the cells on the observable with the greatest gradient
daughterCell1->SetConstraint( doIntegrate[observableIndex], lowPoint, splitPoint, unit );
daughterCell2->SetConstraint( doIntegrate[observableIndex], splitPoint, highPoint, unit );
}
else
{
//Copy the continuous constraint (if it can be integrated, it must be continuous)
daughterCell1->SetConstraint( doIntegrate[observableIndex], temporaryConstraint->GetMinimum(), temporaryConstraint->GetMaximum(), temporaryConstraint->GetUnit() );
daughterCell2->SetConstraint( doIntegrate[observableIndex], temporaryConstraint->GetMinimum(), temporaryConstraint->GetMaximum(), temporaryConstraint->GetUnit() );
}
}
for (unsigned int observableIndex = 0; observableIndex < dontIntegrate.size(); ++observableIndex )
{
IConstraint * temporaryConstraint = currentCell->GetConstraint( dontIntegrate[observableIndex] );
if ( temporaryConstraint->IsDiscrete() )
{
//Copy the discrete constraint
daughterCell1->SetConstraint( dontIntegrate[observableIndex], temporaryConstraint->GetValues(), temporaryConstraint->GetUnit() );
daughterCell2->SetConstraint( dontIntegrate[observableIndex], temporaryConstraint->GetValues(), temporaryConstraint->GetUnit() );
}
else
{
//Copy the continuous constraint
daughterCell1->SetConstraint( dontIntegrate[observableIndex], temporaryConstraint->GetMinimum(), temporaryConstraint->GetMaximum(), temporaryConstraint->GetUnit() );
daughterCell2->SetConstraint( dontIntegrate[observableIndex], temporaryConstraint->GetMinimum(), temporaryConstraint->GetMaximum(), temporaryConstraint->GetUnit() );
}
}
//Add the two new cells to the possibles
possibleCells.push(daughterCell1);
possibleCells.push(daughterCell2);
}
//Make sure you don't exceed the maximum number of cells
if ( int(finishedCells.size() + possibleCells.size()) >= MAXIMUM_CELLS )
{
cout << "MakeFoam warning: maximum cells reached with " << possibleCells.size() << " unexplored" << endl;
//Dump out any possible cells into finished, without any further examination
while ( !possibleCells.empty() )
{
//Move the cell from "possible" to "finished"
PhaseSpaceBoundary* temporaryCell = possibleCells.front();
possibleCells.pop();
finishedCells.push_back(temporaryCell);
//Create a data point at the center of the current cell
DataPoint* cellCenter = new DataPoint( InputPoint->GetAllNames() );
for (unsigned int observableIndex = 0; observableIndex < doIntegrate.size(); ++observableIndex )
{
//Calculate the cell mid point
IConstraint * temporaryConstraint = temporaryCell->GetConstraint( doIntegrate[observableIndex] );
double midPoint = temporaryConstraint->GetMinimum() + ( ( temporaryConstraint->GetMaximum() - temporaryConstraint->GetMinimum() ) / 2 );
//Use the mid points for the integrable values
Observable * temporaryObservable = cellCenter->GetObservable( doIntegrate[observableIndex] );
Observable* temporaryObservable2 = new Observable( temporaryObservable->GetName(), midPoint, temporaryObservable->GetUnit() );
cellCenter->SetObservable( doIntegrate[observableIndex], temporaryObservable2 );
delete temporaryObservable2;
}
for (unsigned int observableIndex = 0; observableIndex < dontIntegrate.size(); ++observableIndex )
{
//Use given values for unintegrable observables
Observable * temporaryObservable = new Observable( *(InputPoint->GetObservable( dontIntegrate[observableIndex] )) );
cellCenter->SetObservable( dontIntegrate[observableIndex], temporaryObservable );
delete temporaryObservable;
}
//Store the center point
centerPoints.push_back(cellCenter);
}
//Exit the foam loop
break;
}
}
//Now all the cells have been made!
//Make a numerical integrator for the function
RapidFitIntegrator cellIntegrator( InputPDF, true );
//Find the function value at the center of each cell, and the integral of the function over the cell
for (unsigned int cellIndex = 0; cellIndex < finishedCells.size(); ++cellIndex )
{
//Integrate the cell
double integral = cellIntegrator.Integral( InputPoint, finishedCells[cellIndex] );
cellIntegrals.push_back(integral);
//Evaluate the function at the center of the cell
double value = InputPDF->Evaluate( centerPoints[cellIndex] );
centerValues.push_back(value);
}
}