Ejemplo n.º 1
0
//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() );
			}
		}
	}
}
Ejemplo n.º 2
0
	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 );
			}
		}
	}
Ejemplo n.º 3
0
//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);
	}
}