#include <RPixPlaneCombinatoryTracking.h>

Inheritance diagram for RPixPlaneCombinatoryTracking:

Public Member Functions
void	findTracks () override

void	initialize () override

	RPixPlaneCombinatoryTracking (edm::ParameterSet const &parameterSet)

	~RPixPlaneCombinatoryTracking () override

Public Member Functions inherited from RPixDetTrackFinder
void	clear ()

std::vector< CTPPSPixelLocalTrack > const &	getLocalTracks () const

	RPixDetTrackFinder (edm::ParameterSet const &parameterSet)

void	setGeometry (const CTPPSGeometry *geometry)

void	setHits (std::map< CTPPSPixelDetId, std::vector< RPixDetPatternFinder::PointInPlane > > *hitMap)

void	setListOfPlanes (std::vector< uint32_t > listOfAllPlanes)

void	setRomanPotId (CTPPSPixelDetId rpId)

void	setZ0 (double z0)

virtual	~RPixDetTrackFinder ()

Private Types
typedef std::map< CTPPSPixelDetId, size_t >	HitReferences

typedef std::vector< std::vector< uint32_t > >	PlaneCombinations

typedef std::map< HitReferences, PointInPlaneList >	PointAndReferenceMap

typedef std::pair< HitReferences, PointInPlaneList >	PointAndReferencePair

typedef std::vector< RPixDetPatternFinder::PointInPlane >	PointInPlaneList

Private Member Functions
bool	calculatePointOnDetector (CTPPSPixelLocalTrack *track, CTPPSPixelDetId planeId, GlobalPoint &planeLineIntercept)

uint32_t	factorial (uint32_t x) const

CTPPSPixelLocalTrack	fitTrack (PointInPlaneList pointList)

void	getHitCombinations (const std::map< CTPPSPixelDetId, PointInPlaneList > &mapOfAllHits, std::map< CTPPSPixelDetId, PointInPlaneList >::iterator mapIterator, HitReferences tmpHitPlaneMap, const PointInPlaneList &tmpHitVector, PointAndReferenceMap &outputMap)

void	getPlaneCombinations (const std::vector< uint32_t > &inputPlaneList, uint32_t numberToExtract, PlaneCombinations &planeCombinations) const

std::vector< PointAndReferencePair >	orderCombinationsPerNumberOrPoints (PointAndReferenceMap inputMap)

PointAndReferenceMap	produceAllHitCombination (PlaneCombinations inputPlaneCombination)

Static Private Member Functions
static bool	functionForPlaneOrdering (PointAndReferencePair a, PointAndReferencePair b)

Private Attributes
double	maximumChi2OverNDF_

double	maximumXLocalDistanceFromTrack_

double	maximumYLocalDistanceFromTrack_

PlaneCombinations	possiblePlaneCombinations_

uint32_t	trackMinNumberOfPoints_

int	verbosity_

Additional Inherited Members
Protected Attributes inherited from RPixDetTrackFinder
const CTPPSGeometry *	geometry_

std::map< CTPPSPixelDetId, std::vector< RPixDetPatternFinder::PointInPlane > > *	hitMap_

std::vector< uint32_t >	listOfAllPlanes_

std::vector< CTPPSPixelLocalTrack >	localTrackVector_

uint32_t	numberOfPlanesPerPot_

CTPPSPixelDetId	romanPotId_

double	z0_

Detailed Description

Definition at line 24 of file RPixPlaneCombinatoryTracking.h.

Member Typedef Documentation

typedef std::map<CTPPSPixelDetId, size_t> RPixPlaneCombinatoryTracking::HitReferences

private

Definition at line 35 of file RPixPlaneCombinatoryTracking.h.

typedef std::vector<std::vector<uint32_t> > RPixPlaneCombinatoryTracking::PlaneCombinations

private

Definition at line 33 of file RPixPlaneCombinatoryTracking.h.

typedef std::map< HitReferences, PointInPlaneList > RPixPlaneCombinatoryTracking::PointAndReferenceMap

private

Definition at line 36 of file RPixPlaneCombinatoryTracking.h.

typedef std::pair<HitReferences, PointInPlaneList > RPixPlaneCombinatoryTracking::PointAndReferencePair

private

Definition at line 37 of file RPixPlaneCombinatoryTracking.h.

typedef std::vector<RPixDetPatternFinder::PointInPlane> RPixPlaneCombinatoryTracking::PointInPlaneList

private

Definition at line 34 of file RPixPlaneCombinatoryTracking.h.

Constructor & Destructor Documentation

RPixPlaneCombinatoryTracking::RPixPlaneCombinatoryTracking ( edm::ParameterSet const & parameterSet )

Definition at line 14 of file RPixPlaneCombinatoryTracking.cc.

References Exception, edm::ParameterSet::getParameter(), edm::ParameterSet::getUntrackedParameter(), maximumChi2OverNDF_, maximumXLocalDistanceFromTrack_, maximumYLocalDistanceFromTrack_, RPixDetTrackFinder::numberOfPlanesPerPot_, trackMinNumberOfPoints_, and verbosity_.

                                                                                               : 
   RPixDetTrackFinder(parameterSet){
 
   trackMinNumberOfPoints_ = parameterSet.getParameter<uint>("trackMinNumberOfPoints");
   verbosity_ = parameterSet.getUntrackedParameter<int> ("verbosity");
   maximumChi2OverNDF_ = parameterSet.getParameter<double>("maximumChi2OverNDF");
   maximumXLocalDistanceFromTrack_= parameterSet.getParameter<double>("maximumXLocalDistanceFromTrack");
   maximumYLocalDistanceFromTrack_= parameterSet.getParameter<double>("maximumYLocalDistanceFromTrack");
   numberOfPlanesPerPot_ = parameterSet.getParameter<int> ("numberOfPlanesPerPot"   );
 
   if(trackMinNumberOfPoints_<3){
     throw cms::Exception("RPixPlaneCombinatoryTracking") << "Minimum number of planes required for tracking is 3, "
                                                          << "tracking is not possible with " 
                                                          << trackMinNumberOfPoints_ << " hits";
   }
  
   
 }

RPixPlaneCombinatoryTracking::~RPixPlaneCombinatoryTracking ( )

override

Definition at line 35 of file RPixPlaneCombinatoryTracking.cc.

References possiblePlaneCombinations_.

                                                             {
   possiblePlaneCombinations_.clear();
 }

Member Function Documentation

bool RPixPlaneCombinatoryTracking::calculatePointOnDetector	(	CTPPSPixelLocalTrack *	track,
		CTPPSPixelDetId	planeId,
		GlobalPoint &	planeLineIntercept
	)

private

Definition at line 458 of file RPixPlaneCombinatoryTracking.cc.

References pfDeepCMVADiscriminatorsJetTags_cfi::denominator, RPixDetTrackFinder::geometry_, CTPPSPixelLocalTrack::getDirectionVector(), CTPPSPixelLocalTrack::getParameterVector(), CTPPSGeometry::getSensor(), CTPPSPixelLocalTrack::getZ0(), CTPPSGeometry::localToGlobal(), metProducer_cfi::parameters, DetGeomDesc::rotation(), PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

Referenced by findTracks(), and fitTrack().

                                                                                             {
   double z0 = track->getZ0();
   CTPPSPixelLocalTrack::ParameterVector parameters = track->getParameterVector();
 
   math::Vector<3>::type pointOnLine(parameters[0], parameters[1], z0);
   GlobalVector tmpLineUnitVector = track->getDirectionVector();
   math::Vector<3>::type lineUnitVector(tmpLineUnitVector.x(),tmpLineUnitVector.y(),tmpLineUnitVector.z());
 
   CLHEP::Hep3Vector tmpPointLocal(0.,0.,0.);
   CLHEP::Hep3Vector tmpPointOnPlane = geometry_->localToGlobal(planeId,tmpPointLocal);
  
   math::Vector<3>::type pointOnPlane(tmpPointOnPlane.x(), tmpPointOnPlane.y(), tmpPointOnPlane.z());
   math::Vector<3>::type planeUnitVector(0.,0.,1.);
 
   DDRotationMatrix theRotationMatrix = geometry_->getSensor(planeId)->rotation();
   AlgebraicMatrix33 tmpPlaneRotationMatrixMap;
   theRotationMatrix.GetComponents(tmpPlaneRotationMatrixMap(0, 0), tmpPlaneRotationMatrixMap(0, 1), tmpPlaneRotationMatrixMap(0, 2),
                                   tmpPlaneRotationMatrixMap(1, 0), tmpPlaneRotationMatrixMap(1, 1), tmpPlaneRotationMatrixMap(1, 2),
                                   tmpPlaneRotationMatrixMap(2, 0), tmpPlaneRotationMatrixMap(2, 1), tmpPlaneRotationMatrixMap(2, 2));
 
   planeUnitVector = tmpPlaneRotationMatrixMap * planeUnitVector;
 
   double denominator = ROOT::Math::Dot(lineUnitVector, planeUnitVector);
   if(denominator==0){
     edm::LogError("RPixPlaneCombinatoryTracking")
       << "Error in RPixPlaneCombinatoryTracking::calculatePointOnDetector -> "
       << "Fitted line and plane are parallel. Removing this track";
     return false;
   }
 
   double distanceFromLinePoint = ROOT::Math::Dot((pointOnPlane - pointOnLine), planeUnitVector) / denominator;
 
   math::Vector<3>::type tmpPlaneLineIntercept = distanceFromLinePoint*lineUnitVector + pointOnLine;
   planeLineIntercept = GlobalPoint(tmpPlaneLineIntercept[0], tmpPlaneLineIntercept[1], tmpPlaneLineIntercept[2]);
 
   return true;
 
 }

uint32_t RPixPlaneCombinatoryTracking::factorial ( uint32_t x ) const

inlineprivate

Definition at line 64 of file RPixPlaneCombinatoryTracking.h.

Referenced by initialize().

                                                 {
       if(x==0) return 1;
       return (x == 1 ? x : x * factorial(x - 1));
     }

void RPixPlaneCombinatoryTracking::findTracks ( )

overridevirtual

Implements RPixDetTrackFinder.

Definition at line 164 of file RPixPlaneCombinatoryTracking.cc.

References CTPPSPixelLocalTrack::addHit(), calculatePointOnDetector(), SoftLeptonByDistance_cfi::distance, Exception, spr::find(), fitTrack(), RPixDetTrackFinder::geometry_, CTPPSPixelLocalTrack::getChiSquaredOverNDF(), CTPPSPixelLocalTrack::getHits(), CTPPSPixelLocalTrack::getNDF(), getPlaneCombinations(), CTPPSGeometry::getSensor(), RPixDetTrackFinder::hitMap_, mps_fire::i, CTPPSPixelLocalTrack::isValid(), RPixDetTrackFinder::listOfAllPlanes_, RPixDetTrackFinder::localTrackVector_, maximumChi2OverNDF_, maximumXLocalDistanceFromTrack_, maximumYLocalDistanceFromTrack_, orderCombinationsPerNumberOrPoints(), point, possiblePlaneCombinations_, produceAllHitCombination(), RPixDetTrackFinder::romanPotId_, DetGeomDesc::rotation(), CTPPSPixelDetId::setPlane(), mathSSE::sqrt(), trackMinNumberOfPoints_, verbosity_, PV3DBase< T, PVType, FrameType >::x(), hit::x, PV3DBase< T, PVType, FrameType >::y(), and hit::y.

                                              {
 
   //The loop search for all the possible tracks starting from the one with the smallest chiSquare/NDF
   //The loop stops when the number of planes with recorded hits is less than the minimum number of planes required
   //or if the track with minimum chiSquare found has a chiSquare higher than the maximum required
 
   while(hitMap_->size()>=trackMinNumberOfPoints_){
 
     if(verbosity_>=1) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"Number of plane with hits "<<hitMap_->size();
     if(verbosity_>=2) for(const auto & plane : *hitMap_) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"\tarm "<<plane.first.arm()
                                                                  <<" station "<<plane.first.station()
                                                                  <<" rp " <<plane.first.rp()
                                                                  <<" plane "<<plane.first.plane()
                                                                  <<" : "<<plane.second.size();
     
     //I create the map of all the possible combinations of a group of trackMinNumberOfPoints_ points
     //and the key keeps the reference of which planes and which hit numbers form the combination
     PointAndReferenceMap mapOfAllMinRequiredPoint;
     //I produce the map for all cominations of all hits with all trackMinNumberOfPoints_ plane combinations
     mapOfAllMinRequiredPoint =produceAllHitCombination(possiblePlaneCombinations_);
 
     //Fit all the possible combinations with minimum number of planes required and find the track with minimum chi2
     double theMinChiSquaredOverNDF = maximumChi2OverNDF_+1.; //in order to break the loop in case no track is found;
     HitReferences pointMapWithMinChiSquared;
     PointInPlaneList pointsWithMinChiSquared;
     CTPPSPixelLocalTrack bestTrack;
 
     if(verbosity_>2) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"Number of combinations of trackMinNumberOfPoints_ planes "
                               <<mapOfAllMinRequiredPoint.size();
     for(const auto & pointsAndRef : mapOfAllMinRequiredPoint){
       CTPPSPixelLocalTrack tmpTrack = fitTrack(pointsAndRef.second);
       double tmpChiSquaredOverNDF = tmpTrack.getChiSquaredOverNDF();
       if(verbosity_>=2) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"ChiSquare of the present track "<<tmpChiSquaredOverNDF;
       if(!tmpTrack.isValid() || tmpChiSquaredOverNDF>maximumChi2OverNDF_ || tmpChiSquaredOverNDF==0.) continue; //validity check
       if(tmpChiSquaredOverNDF<theMinChiSquaredOverNDF){
         theMinChiSquaredOverNDF = tmpChiSquaredOverNDF;
         pointMapWithMinChiSquared = pointsAndRef.first;
         pointsWithMinChiSquared = pointsAndRef.second;
         bestTrack = tmpTrack;
       }
     }
 
     //The loop on the fit of all tracks is done, the track with minimum chiSquared is found
     // and it is verified that it complies with the maximumChi2OverNDF_ requirement
     if(theMinChiSquaredOverNDF > maximumChi2OverNDF_) break;
 
     //The list of planes not included in the minimum chiSquare track is produced.
     std::vector<uint32_t>  listOfExcludedPlanes;
     for(const auto & plane : listOfAllPlanes_){
       CTPPSPixelDetId tmpRpId = romanPotId_; //in order to avoid to modify the data member
       tmpRpId.setPlane(plane);
       CTPPSPixelDetId planeDetId = tmpRpId;
       if(pointMapWithMinChiSquared.find(planeDetId)==pointMapWithMinChiSquared.end()) 
         listOfExcludedPlanes.push_back(plane);
     }
 
     //I produce all the possible combinations of planes to be added to the track,
     //excluding the case of no other plane added since it has been already fitted.
     PlaneCombinations planePointedHitListCombination;
     for(uint32_t i=1; i<=listOfExcludedPlanes.size(); ++i){
       PlaneCombinations tmpPlaneCombination;
       getPlaneCombinations(listOfExcludedPlanes,i,tmpPlaneCombination);
       for(const auto & combination : tmpPlaneCombination) planePointedHitListCombination.push_back(combination);
     }
 
     //I produce all the possible combinations of points to be added to the track
     PointAndReferenceMap mapOfAllPointWithAtLeastBestFitSelected;
     PointAndReferenceMap mapOfPointCombinationToBeAdded;
     mapOfPointCombinationToBeAdded = produceAllHitCombination(planePointedHitListCombination);
     //The found hit combination is added to the hits selected by the best fit;
     for(const auto & element : mapOfPointCombinationToBeAdded){
       HitReferences newPointMap = pointMapWithMinChiSquared; 
       PointInPlaneList newPoints = pointsWithMinChiSquared;
       for(const auto & pointRef : element.first ) newPointMap[pointRef.first] = pointRef.second; //add the new point reference
       for(const auto & point    : element.second) newPoints.push_back(point);
       mapOfAllPointWithAtLeastBestFitSelected[newPointMap]=newPoints;
     }
   
     //I fit all the possible combination of the minimum plane best fit hits plus hits from the other planes
     if(verbosity_>=1) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"Minimum chiSquare over NDF for all the tracks "<<theMinChiSquaredOverNDF;
 
     // I look for the tracks with maximum number of points with a chiSquare over NDF smaller than maximumChi2OverNDF_
     // If more than one track fulfill the chiSquare requirement with the same number of points I choose the one with smaller chiSquare
     std::vector<PointAndReferencePair > orderedVectorOfAllPointWithAtLeastBestFitSelected =
       orderCombinationsPerNumberOrPoints(mapOfAllPointWithAtLeastBestFitSelected);
     int currentNumberOfPlanes = 0;
     theMinChiSquaredOverNDF = maximumChi2OverNDF_+1.; //in order to break the loop in case no track is found;
     bool foundTrackWithCurrentNumberOfPlanes = false;
     for(const auto & pointsAndRef : orderedVectorOfAllPointWithAtLeastBestFitSelected){
       int tmpNumberOfPlanes = pointsAndRef.second.size();
       // If a valid track has been already found with an higher number of planes the loop stops.
       if(foundTrackWithCurrentNumberOfPlanes && tmpNumberOfPlanes<currentNumberOfPlanes) break;
       CTPPSPixelLocalTrack tmpTrack = fitTrack(pointsAndRef.second);
       double tmpChiSquaredOverNDF = tmpTrack.getChiSquaredOverNDF();
       if(!tmpTrack.isValid() || tmpChiSquaredOverNDF>maximumChi2OverNDF_ || tmpChiSquaredOverNDF==0.) continue; //validity check
       if(tmpChiSquaredOverNDF<theMinChiSquaredOverNDF){
         theMinChiSquaredOverNDF = tmpChiSquaredOverNDF;
         pointMapWithMinChiSquared = pointsAndRef.first;
         bestTrack = tmpTrack;
         currentNumberOfPlanes = tmpNumberOfPlanes;
         foundTrackWithCurrentNumberOfPlanes = true;
       }
     }
 
     if(verbosity_>=1) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"The best track has " << bestTrack.getNDF()/2 + 2 ;
    
     std::vector<uint32_t>  listOfPlaneNotUsedForFit = listOfAllPlanes_;
     //remove the hits belonging to the tracks from the full list of hits
     for(const auto & hitToErase : pointMapWithMinChiSquared){
       std::map<CTPPSPixelDetId, PointInPlaneList >::iterator hitMapElement = hitMap_->find(hitToErase.first);
       if(hitMapElement==hitMap_->end()){
            throw cms::Exception("RPixPlaneCombinatoryTracking") 
              <<"The found tracks has hit belonging to a plane which does not have hits";
       }
       std::vector<uint32_t>::iterator planeIt;
       planeIt = std::find (listOfPlaneNotUsedForFit.begin(), listOfPlaneNotUsedForFit.end(), hitToErase.first.plane());
       listOfPlaneNotUsedForFit.erase(planeIt);
       hitMapElement->second.erase(hitMapElement->second.begin()+hitToErase.second);
       //if the plane at which the hit was erased is empty it is removed from the hit map
       if(hitMapElement->second.empty()) hitMap_->erase(hitMapElement);
     }
 
     //search for hit on the other planes which may belong to the same track
     //even if they did not contributed to the track
     // in case of multiple hit, the closest one to the track will be considered
     //If an hit is found these will not be erased from the list of all hits
     //If not hit is found, the point on the plane intersecting the track will be saved by a CTPPSPixelFittedRecHit 
     //with the isRealHit_ flag set to false
     for(const auto & plane : listOfPlaneNotUsedForFit){
       CTPPSPixelDetId tmpPlaneId = romanPotId_; //in order to avoid to modify the data member
       tmpPlaneId.setPlane(plane);
       std::unique_ptr<CTPPSPixelFittedRecHit> 
         fittedRecHit(new CTPPSPixelFittedRecHit());
       GlobalPoint pointOnDet;
       calculatePointOnDetector(&bestTrack, tmpPlaneId, pointOnDet);
 
 
       if(hitMap_->find(tmpPlaneId) != hitMap_->end()){
         //I convert the hit search window defined in local coordinated into global
         //This avoids to convert the global plane-line intersection in order not to call the the geometry 
         math::Vector<3>::type maxGlobalPointDistance(maximumXLocalDistanceFromTrack_,maximumYLocalDistanceFromTrack_,0.);
         
         DDRotationMatrix theRotationMatrix = geometry_->getSensor(tmpPlaneId)->rotation();
         AlgebraicMatrix33 tmpPlaneRotationMatrixMap;
         theRotationMatrix.GetComponents(tmpPlaneRotationMatrixMap(0, 0), tmpPlaneRotationMatrixMap(0, 1), tmpPlaneRotationMatrixMap(0, 2),
                                         tmpPlaneRotationMatrixMap(1, 0), tmpPlaneRotationMatrixMap(1, 1), tmpPlaneRotationMatrixMap(1, 2),
                                         tmpPlaneRotationMatrixMap(2, 0), tmpPlaneRotationMatrixMap(2, 1), tmpPlaneRotationMatrixMap(2, 2));
 
         maxGlobalPointDistance = tmpPlaneRotationMatrixMap * maxGlobalPointDistance;
         //I avoid the Sqrt since it will not be saved
         double maximumXdistance = maxGlobalPointDistance[0]*maxGlobalPointDistance[0];
         double maximumYdistance = maxGlobalPointDistance[1]*maxGlobalPointDistance[1];
         double minimumDistance = 1. + maximumXdistance + maximumYdistance; // to be sure that the first min distance is from a real point
         for(const auto & hit : (*hitMap_)[tmpPlaneId]){
           double xResidual = hit.globalPoint.x() - pointOnDet.x();
           double yResidual = hit.globalPoint.y() - pointOnDet.y();
           double xDistance = xResidual*xResidual;
           double yDistance = yResidual*yResidual;
           double distance = xDistance + yDistance;
           if(xDistance < maximumXdistance && yDistance < maximumYdistance && distance < minimumDistance){
             LocalPoint residuals(xResidual,yResidual,0.);
             math::Error<3>::type globalError = hit.globalError;
             LocalPoint pulls(xResidual/std::sqrt(globalError[0][0]),yResidual/std::sqrt(globalError[1][1]),0.);
             fittedRecHit.reset(new CTPPSPixelFittedRecHit(hit.recHit, pointOnDet, residuals, pulls));
             fittedRecHit->setIsRealHit(true);
           }
         }
       }
       else{
         LocalPoint fakePoint;
         LocalError fakeError;
         CTPPSPixelRecHit fakeRecHit(fakePoint,fakeError);
         fittedRecHit.reset(new CTPPSPixelFittedRecHit(fakeRecHit, pointOnDet, fakePoint, fakePoint));
       }
 
       bestTrack.addHit(tmpPlaneId, *fittedRecHit);
   
     }
 
     localTrackVector_.push_back(bestTrack);
 
     int pointForTracking = 0;
     int pointOnTrack = 0;
 
     if(verbosity_>=1){
       for(const auto & planeHits : bestTrack.getHits()){
         for(const auto & fittedhit : planeHits){
           if(fittedhit.getIsUsedForFit()) ++pointForTracking;
           if(fittedhit.getIsRealHit()) ++pointOnTrack;
         }
       }
       edm::LogInfo("RPixPlaneCombinatoryTracking")<<"Best track has "<<pointForTracking<<" points used for the fit and "
                << pointOnTrack<<" points belonging to the track\n";
     }
 
   } //close of the while loop on all the hits
 
   return;
 
 }

CTPPSPixelLocalTrack RPixPlaneCombinatoryTracking::fitTrack ( PointInPlaneList pointList )

private

Definition at line 367 of file RPixPlaneCombinatoryTracking.cc.

References CTPPSPixelLocalTrack::addHit(), calculatePointOnDetector(), spr::goodTrack(), CTPPSPixelFittedRecHit::setIsUsedForFit(), CTPPSPixelLocalTrack::setValid(), mathSSE::sqrt(), PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and RPixDetTrackFinder::z0_.

Referenced by findTracks().

                                                                                      {
   
   uint32_t const numberOfPlanes = 6;
   math::Vector<2*numberOfPlanes>::type xyCoordinates;
   math::Error<2*numberOfPlanes>::type varianceMatrix;
   math::Matrix<2*numberOfPlanes, 4>::type zMatrix;
   
   //The matrices and vector xyCoordinates, varianceMatrix and varianceMatrix are built from the points
   for(uint32_t iHit = 0; iHit < numberOfPlanes; iHit++) {
     if (iHit < pointList.size()) {
       CLHEP::Hep3Vector globalPoint = pointList[iHit].globalPoint;
       xyCoordinates[2*iHit]        = globalPoint.x()    ;
       xyCoordinates[2*iHit + 1]    = globalPoint.y()    ;
       zMatrix      (2*iHit, 0)     = 1.                 ;
       zMatrix      (2*iHit, 2)     = globalPoint.z()-z0_;
       zMatrix      (2*iHit + 1, 1) = 1.                 ;
       zMatrix      (2*iHit+ 1 , 3) = globalPoint.z()-z0_;
       
       AlgebraicMatrix33 globalError = pointList[iHit].globalError;
       varianceMatrix(2*iHit, 2*iHit)         = globalError(0, 0);
       varianceMatrix(2*iHit, 2*iHit + 1)     = globalError(0, 1);
       varianceMatrix(2*iHit + 1, 2*iHit)     = globalError(1, 0);
       varianceMatrix(2*iHit + 1, 2*iHit + 1) = globalError(1, 1);
     } else {
       varianceMatrix(2*iHit, 2*iHit)         = 1.;
       varianceMatrix(2*iHit + 1, 2*iHit + 1) = 1.;
     }    
   }
 
   //Get real point variance matrix
   if (!varianceMatrix.Invert()) {
     edm::LogError("RPixPlaneCombinatoryTracking") << "Error in RPixPlaneCombinatoryTracking::fitTrack -> "
     << "Point variance matrix is singular, skipping.";
     CTPPSPixelLocalTrack badTrack;
     badTrack.setValid(false);
     return badTrack;
   }
 
   math::Error<4>::type covarianceMatrix = ROOT::Math::SimilarityT(zMatrix, varianceMatrix);
 
   //To have the real parameter covariance matrix, covarianceMatrix needs to be inverted
   if (!covarianceMatrix.Invert()) {
     edm::LogError("RPixPlaneCombinatoryTracking") << "Error in RPixPlaneCombinatoryTracking::fitTrack -> "
     << "Parameter covariance matrix is singular, skipping.";
     CTPPSPixelLocalTrack badTrack;
     badTrack.setValid(false);
     return badTrack;
   }
 
   // track parameters: (x0, y0, tx, ty); x = x0 + tx*(z-z0)
   math::Vector<4>::type zMatrixTransposeTimesVarianceMatrixTimesXyCoordinates = 
     ROOT::Math::Transpose(zMatrix) * varianceMatrix * xyCoordinates;
   math::Vector<4>::type parameterVector = 
     covarianceMatrix * zMatrixTransposeTimesVarianceMatrixTimesXyCoordinates;
   math::Vector<2*numberOfPlanes>::type xyCoordinatesMinusZmatrixTimesParameters =
     xyCoordinates - (zMatrix * parameterVector);
 
   double chiSquare =
     ROOT::Math::Dot(xyCoordinatesMinusZmatrixTimesParameters, (varianceMatrix * xyCoordinatesMinusZmatrixTimesParameters));
 
   CTPPSPixelLocalTrack goodTrack(z0_, parameterVector, covarianceMatrix, chiSquare);
   goodTrack.setValid(true);
 
   for(const auto & hit : pointList){
     CLHEP::Hep3Vector globalPoint = hit.globalPoint;
     GlobalPoint pointOnDet;
     bool foundPoint = calculatePointOnDetector(&goodTrack, hit.detId, pointOnDet);
     if(!foundPoint){
       CTPPSPixelLocalTrack badTrack;
       badTrack.setValid(false);
       return badTrack;
     }
     double xResidual = globalPoint.x() - pointOnDet.x();
     double yResidual = globalPoint.y() - pointOnDet.y();
     LocalPoint residuals(xResidual,yResidual);
 
     math::Error<3>::type globalError(hit.globalError);
     LocalPoint pulls(xResidual/std::sqrt(globalError(0, 0)),yResidual/std::sqrt(globalError(0, 0)));
 
     CTPPSPixelFittedRecHit fittedRecHit(hit.recHit, pointOnDet, residuals, pulls);
     fittedRecHit.setIsUsedForFit(true);
     goodTrack.addHit(hit.detId, fittedRecHit);
   }
 
   return goodTrack;
 
 }

static bool RPixPlaneCombinatoryTracking::functionForPlaneOrdering	(	PointAndReferencePair	a,
		PointAndReferencePair	b
	)

inlinestaticprivate

Definition at line 56 of file RPixPlaneCombinatoryTracking.h.

References orderCombinationsPerNumberOrPoints().

Referenced by orderCombinationsPerNumberOrPoints().

58 {

59 return (a.second.size() > b.second.size()); }

b

double b

Definition: hdecay.h:120

a

double a

Definition: hdecay.h:121

void RPixPlaneCombinatoryTracking::getHitCombinations	(	const std::map< CTPPSPixelDetId, PointInPlaneList > &	mapOfAllHits,
		std::map< CTPPSPixelDetId, PointInPlaneList >::iterator	mapIterator,
		HitReferences	tmpHitPlaneMap,
		const PointInPlaneList &	tmpHitVector,
		PointAndReferenceMap &	outputMap
	)

private

Definition at line 90 of file RPixPlaneCombinatoryTracking.cc.

References mps_fire::i.

Referenced by produceAllHitCombination().

 {
     //At this point I selected one hit per plane
     if (mapIterator == mapOfAllHits.end())
     {
         outputMap[tmpHitPlaneMap] = tmpHitVector;
         return;
     }
     for (size_t i=0; i<mapIterator->second.size(); i++){
       HitReferences newHitPlaneMap = tmpHitPlaneMap;
       newHitPlaneMap[mapIterator->first] = i;
       PointInPlaneList newVector = tmpHitVector;
       newVector.push_back(mapIterator->second[i]);
       std::map<CTPPSPixelDetId, PointInPlaneList >::iterator tmpMapIterator = mapIterator;
       getHitCombinations(mapOfAllHits, ++tmpMapIterator, newHitPlaneMap, newVector, outputMap);
     }
 }

void RPixPlaneCombinatoryTracking::getPlaneCombinations	(	const std::vector< uint32_t > &	inputPlaneList,
		uint32_t	numberToExtract,
		PlaneCombinations &	planeCombinations
	)		const

private

Definition at line 65 of file RPixPlaneCombinatoryTracking.cc.

References mps_fire::i, and AlCaHLTBitMon_QueryRunRegistry::string.

Referenced by findTracks(), and initialize().

 {
     uint32_t numberOfPlanes = inputPlaneList.size();
     std::string bitmask(numberToExtract, 1); // numberToExtract leading 1's
     bitmask.resize(numberOfPlanes, 0); // numberOfPlanes-numberToExtract trailing 0's
     planeCombinations.clear();
 
     // store the combination and permute bitmask
     do {
       planeCombinations.push_back(std::vector<uint32_t>());
       for (uint32_t i = 0; i < numberOfPlanes; ++i) { // [0..numberOfPlanes-1] integers
         if (bitmask[i]) planeCombinations.back().push_back(inputPlaneList.at(i));
       }
     } while (std::prev_permutation(bitmask.begin(), bitmask.end()));
 
     return;
 }

void RPixPlaneCombinatoryTracking::initialize ( void )

overridevirtual

Implements RPixDetTrackFinder.

Definition at line 41 of file RPixPlaneCombinatoryTracking.cc.

References factorial(), getPlaneCombinations(), RPixDetTrackFinder::listOfAllPlanes_, pileupDistInMC::num, RPixDetTrackFinder::numberOfPlanesPerPot_, possiblePlaneCombinations_, trackMinNumberOfPoints_, and verbosity_.

                                              {
  
   uint32_t numberOfCombinations = factorial(numberOfPlanesPerPot_)/
                                   (factorial(numberOfPlanesPerPot_-trackMinNumberOfPoints_)
                                    *factorial(trackMinNumberOfPoints_));
   if(verbosity_>=2) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"Number of combinations = "<<numberOfCombinations;
   possiblePlaneCombinations_.reserve(numberOfCombinations);
 
   getPlaneCombinations(listOfAllPlanes_,trackMinNumberOfPoints_,possiblePlaneCombinations_);
 
   if(verbosity_>=2) {
     for( const auto & vec : possiblePlaneCombinations_){
       for( const auto & num : vec){
         edm::LogInfo("RPixPlaneCombinatoryTracking")<<num<<" - ";
       }
       edm::LogInfo("RPixPlaneCombinatoryTracking");
     }
   }
 
 }

std::vector< RPixPlaneCombinatoryTracking::PointAndReferencePair > RPixPlaneCombinatoryTracking::orderCombinationsPerNumberOrPoints ( PointAndReferenceMap inputMap )

private

Definition at line 501 of file RPixPlaneCombinatoryTracking.cc.

References functionForPlaneOrdering().

Referenced by findTracks(), and functionForPlaneOrdering().

                                 {
 
   std::vector<PointAndReferencePair > sortedVector(inputMap.begin(),inputMap.end());
   std::sort(sortedVector.begin(),sortedVector.end(),functionForPlaneOrdering);
 
   return sortedVector;
 
 }

RPixPlaneCombinatoryTracking::PointAndReferenceMap RPixPlaneCombinatoryTracking::produceAllHitCombination ( PlaneCombinations inputPlaneCombination )

private

Definition at line 116 of file RPixPlaneCombinatoryTracking.cc.

References CTPPSDetId::arm(), Exception, getHitCombinations(), RPixDetTrackFinder::hitMap_, CTPPSPixelDetId::plane(), RPixDetTrackFinder::romanPotId_, CTPPSDetId::rp(), CTPPSPixelDetId::setPlane(), CTPPSDetId::station(), and verbosity_.

Referenced by findTracks().

                                                                                              {
   
   PointAndReferenceMap mapOfAllPoints;
   CTPPSPixelDetId tmpRpId = romanPotId_; //in order to avoid to modify the data member
   
   if(verbosity_>2) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"Searching for all combinations...";
   //Loop on all the plane combinations
   for( const auto & planeCombination : inputPlaneCombination){
 
     std::map<CTPPSPixelDetId, PointInPlaneList > selectedCombinationHitOnPlane;
     bool allPlaneAsHits = true;
 
     //Loop on all the possible combinations
     //In this loop the selectedCombinationHitOnPlane is filled 
     //and cases in which one of the selected plane is empty are skipped
     for( const auto & plane : planeCombination){
       tmpRpId.setPlane(plane);
       CTPPSPixelDetId planeDetId = tmpRpId;
       if(hitMap_->find(planeDetId) == hitMap_->end()){
         if(verbosity_>2) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"No data on arm "<<planeDetId.arm()<<" station "<<planeDetId.station()
                                   <<" rp " <<planeDetId.rp()<<" plane "<<planeDetId.plane();
         allPlaneAsHits = false;
         break;
       }
       if(selectedCombinationHitOnPlane.find(planeDetId)!=selectedCombinationHitOnPlane.end()){
            throw cms::Exception("RPixPlaneCombinatoryTracking") 
              <<"selectedCombinationHitOnPlane contains already detId "<<planeDetId
              <<"Error in the algorithm which created all the possible plane combinations";
       }
       selectedCombinationHitOnPlane[planeDetId] = (*hitMap_)[planeDetId];
     }
     if(!allPlaneAsHits) continue;
     
     //I add the all the hit combinations to the full list of plane combinations
     auto mapIterator=selectedCombinationHitOnPlane.begin();
     HitReferences tmpHitPlaneMap; //empty map of plane id and hit number needed the getHitCombinations algorithm
     PointInPlaneList tmpHitVector; //empty vector of hits needed for the getHitCombinations algorithm
     getHitCombinations(selectedCombinationHitOnPlane,mapIterator,tmpHitPlaneMap,tmpHitVector,mapOfAllPoints);
     if(verbosity_>2) edm::LogInfo("RPixPlaneCombinatoryTracking")<<"Number of possible tracks "<<mapOfAllPoints.size();
 
   } //end of loops on all the combinations
 
   return mapOfAllPoints;
 
 }