FastVertexFitter.cxx

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/*
  Copyright (C) 2002-2024 CERN for the benefit of the ATLAS collaboration
*/
 
/***************************************************************************
                        FastVertexFitter.cxx  -  Description
 ***************************************************************************/
#include "TrkVertexBilloirTools/FastVertexFitter.h"
#include "VxVertex/VxTrackAtVertex.h"
#include "VxVertex/LinearizedTrack.h"
#include "TrkSurfaces/PerigeeSurface.h"
#include "TrkDetDescrUtils/GeometryStatics.h"
#include "TrkTrack/TrackCollection.h"
#include "TrkTrack/Track.h"
#include "TrkTrack/LinkToTrack.h"
#include "TrkParticleBase/LinkToTrackParticleBase.h"
#include "TrkParticleBase/TrackParticleBase.h"
#include "EventPrimitives/EventPrimitivesCovarianceHelpers.h"
#include "EventPrimitives/EventPrimitives.h"
#include "TrkLinks/LinkToXAODTrackParticle.h" 
//xAOD includes 
#include "xAODTracking/Vertex.h" 
#include "xAODTracking/TrackParticle.h" 
 
/* These are some local helper classes only needed for convenience, therefor
within anonymous namespace. They do contain temporary calculations of matrices
and vectors resulting from the Billoir calculation (Note: no transformation
of the perigee parameters is done anymore). */
namespace
{
    struct BilloirTrack
    {
        BilloirTrack() : originalPerigee(nullptr),chi2{} { DtWD.setZero(); DtWDx.setZero(); xpVec.setZero();}
        virtual ~BilloirTrack() = default;
        const Trk::TrackParameters * originalPerigee;
        AmgMatrix(3,3) DtWD;
        Amg::Vector3D DtWDx;
        Amg::Vector3D xpVec;
        double chi2;
    };
 
    struct BilloirVertex
    {
        BilloirVertex() : chi2{},ndf{} { DtWD_Sum.setZero(); DtWDx_Sum.setZero();}
        virtual ~BilloirVertex() = default;
        AmgMatrix(3,3) DtWD_Sum;
        Amg::Vector3D DtWDx_Sum;
        double chi2;
        unsigned int ndf;
    };
}
 
namespace Trk
{
    StatusCode FastVertexFitter::initialize()
    {
 
        if ( m_extrapolator.retrieve().isFailure() )
        {
            msg(MSG::FATAL) << "Failed to retrieve tool " << m_extrapolator << endmsg;
            return StatusCode::FAILURE;
        }
        
        
            msg(MSG::INFO) << "Retrieved tool " << m_extrapolator << endmsg;
        
 
        if ( m_linFactory.retrieve().isFailure() )
        {
            msg(MSG::FATAL) << "Failed to retrieve tool " << m_linFactory << endmsg;
            return StatusCode::FAILURE;
        }
        
        
            msg(MSG::INFO) << "Retrieved tool " << m_linFactory << endmsg;
        
 
        return StatusCode::SUCCESS;
    }
 
 
    FastVertexFitter::FastVertexFitter ( const std::string& t, const std::string& n, const IInterface*  p ) : base_class ( t,n,p ),
                                                          m_maxIterations ( 3 ),
                                                          m_maxDchi2PerNdf ( 0.000001 )
                                                          
                                                          
    {
      declareProperty ( "MaxIterations",        m_maxIterations );
      declareProperty ( "MaxChi2PerNdf",        m_maxDchi2PerNdf );
      declareInterface<IVertexFitter> ( this );
    }
 
    FastVertexFitter::~FastVertexFitter() = default;
 
 

    xAOD::Vertex * FastVertexFitter::fit ( const std::vector<const Trk::TrackParameters*> & originalPerigees,
                                           const Amg::Vector3D& firstStartingPoint ) const
    {
                xAOD::Vertex constraint;
                constraint.makePrivateStore();
                constraint.setPosition( firstStartingPoint );
                constraint.setCovariancePosition( AmgSymMatrix(3)::Zero(3,3) );
                constraint.setFitQuality( 0.,0.);
        return fit ( originalPerigees, constraint );
    }

    xAOD::Vertex * FastVertexFitter::fit ( const std::vector<const Trk::TrackParameters*> & originalPerigees,
                                           const xAOD::Vertex& firstStartingPoint ) const
    {
        if ( originalPerigees.empty() )
        {
            ATH_MSG_VERBOSE("No tracks to fit in this event.");
            return nullptr;
        }
 
        /* Initialisation of variables */
        double chi2 = 2000000000000.;
        unsigned int nRP = originalPerigees.size();  // Number of tracks to fit
        int ndf = nRP * ( 5-3 ) - 3;                 // Number of degrees of freedom
        if ( ndf == -1 ) ndf = 1;
 
        /* Determine if we are doing a constraint fit.*/
        bool constraint = false;
        if ( firstStartingPoint.covariancePosition().trace() != 0. )
        {
            constraint = true;
            ndf += 3;
            ATH_MSG_DEBUG("Fitting with constraint.");
            ATH_MSG_VERBOSE(firstStartingPoint.covariancePosition().inverse().eval());
        }
 
        double chi2New=0.;double chi2Old=0.;
 
        Amg::Vector3D linPoint ( firstStartingPoint.position() ); // linearization point for track parameters (updated for every iteration)
 
        auto fittedVertex = std::make_unique<xAOD::Vertex>();
                fittedVertex->makePrivateStore(); // xAOD::VertexContainer will take ownership of AuxStore when ActualVertex is added to it
 
        std::vector<VxTrackAtVertex> tracksAtVertex;
        std::vector<BilloirTrack> billoirTracks;
 
        /* Iterate fits until the fit criteria are met, or the number of max
        iterations is reached. */
        for ( unsigned int niter=0; niter < m_maxIterations; ++niter )
        {
            // msg(MSG::VERBOSE) << "Start of iteration " << niter << ", starting point ("
            // << linPoint [0] << ", " << linPoint [1] << ", " << linPoint [2]
            // << ") and " << originalPerigees.size() << " tracks." << endmsg;
 
            billoirTracks.clear();
            chi2Old = chi2New;
            chi2New = 0.;
 
            AmgMatrix(2,3) D;
 
            /* Linearize the track parameters wrt. starting point of the fit */
            Amg::Vector3D globalPosition = linPoint;
            Trk::PerigeeSurface perigeeSurface ( globalPosition );
 
            BilloirVertex billoirVertex;
                        // unsigned int count(0);
            for (const auto *originalPerigee : originalPerigees)
            {
                LinearizedTrack* linTrack = m_linFactory->linearizedTrack ( originalPerigee, linPoint );
                if ( linTrack==nullptr )
                {
                    ATH_MSG_DEBUG("Could not linearize track! Skipping this track!");
                }
                else
                {
                    // local position
                    Amg::Vector3D locXpVec = linTrack->expectedPositionAtPCA();
                    locXpVec[0] = locXpVec[0] - linPoint[0];
                    locXpVec[1] = locXpVec[1] - linPoint[1];
                    locXpVec[2] = locXpVec[2] - linPoint[2];
                    
                    // msg(MSG::VERBOSE) << "Track: " << count << endmsg;
                    // count++;
                    // const Trk::MeasuredPerigee* tmpPerigee = dynamic_cast<const Trk::MeasuredPerigee*>(*iter);
                    //AmgVector(5) expParameters = linTrack->expectedParametersAtPCA();
                    
                    // msg(MSG::VERBOSE) << "locXp: " << locXpVec[0] << "\t" << locXpVec[1] << "\t" << locXpVec[2] << endmsg;
 
                    // first get the cov 2x2 sub matrix and then invert (don't get the 2x2 sub matrix of the 5x5 already inverted cov matrix)
                    AmgMatrix(2,2) billoirCovMat = linTrack->expectedCovarianceAtPCA().block<2,2>(0,0);
                    // msg(MSG::VERBOSE) << "CovMatrix: " << billoirCovMat[0][0] << "\t" << billoirCovMat[0][1] << endmsg;
                    // msg(MSG::VERBOSE) << "           " << billoirCovMat[1][0] << "\t" << billoirCovMat[1][1] << endmsg;
                    AmgMatrix(2,2) billoirWeightMat = billoirCovMat.inverse().eval();
                    // msg(MSG::VERBOSE) << "WeightMatrix: " << billoirWeightMat[0][0] << "\t" << billoirWeightMat[0][1] << endmsg;
                    // msg(MSG::VERBOSE) << "              " << billoirWeightMat[1][0] << "\t" << billoirWeightMat[1][1] << endmsg;
                    // D matrix for d0 and z0
                    D = linTrack->positionJacobian().block<2,3>(0,0);
                    // msg(MSG::VERBOSE) << "DMatrix:      " << D[0][0] << "\t" << D[0][1] << endmsg;
                    // msg(MSG::VERBOSE) << "              " << D[1][0] << "\t" << D[1][1] << endmsg;
 
                    // Calculate DtWD and DtWD*x and sum them
                    BilloirTrack locBilloirTrack;
                    locBilloirTrack.xpVec = locXpVec;
                    locBilloirTrack.DtWD = (D.transpose())*billoirWeightMat*D; 
                    locBilloirTrack.chi2 = -1.0; 
                    billoirVertex.DtWD_Sum += locBilloirTrack.DtWD;
                    locBilloirTrack.DtWDx = ((D.transpose())*billoirWeightMat*D)*locXpVec;
                    billoirVertex.DtWDx_Sum += locBilloirTrack.DtWDx;
                    locBilloirTrack.originalPerigee = originalPerigee;
                    billoirTracks.push_back ( locBilloirTrack );
                }
                    delete linTrack; linTrack=nullptr;
            }
            if ( billoirTracks.empty() )
            {
                ATH_MSG_DEBUG("No linearized tracks left after linearization! Should not happen!");
                return nullptr;
            }
            if ( constraint )
            {
                // add V_del += wgtconst * (linPoint.position() - Vconst) and V_wgt +=wgtconst
                Amg::Vector3D constraintPosInBilloirFrame;
                constraintPosInBilloirFrame.setZero();
                // this will be 0 for first iteration but != 0 from second on
                constraintPosInBilloirFrame[0] = firstStartingPoint.position() [0]-linPoint [0];
                constraintPosInBilloirFrame[1] = firstStartingPoint.position() [1]-linPoint [1];
                constraintPosInBilloirFrame[2] = firstStartingPoint.position() [2]-linPoint [2];
                billoirVertex.DtWDx_Sum += firstStartingPoint.covariancePosition().inverse().eval() *constraintPosInBilloirFrame;
                billoirVertex.DtWD_Sum  += firstStartingPoint.covariancePosition().inverse().eval();
            }
 
            AmgMatrix(3,3) cov_delta_V_mat = billoirVertex.DtWD_Sum.inverse( ) ;
 
            Amg::Vector3D delta_V = cov_delta_V_mat * billoirVertex.DtWDx_Sum;
 
            std::vector<BilloirTrack>::iterator BTIter;
            for ( BTIter = billoirTracks.begin(); BTIter != billoirTracks.end() ; ++BTIter )
            {
                // calculate chi2PerTrack = (xpVec - vtxPosInBilloirFrame).T * DtWD(track) * (xpVec - vtxPosInBilloirFrame); )
                Amg::Vector3D diff;
                diff.setZero();
                diff[0] = ( *BTIter ).xpVec[0] - delta_V[0];
                diff[1] = ( *BTIter ).xpVec[1] - delta_V[1];
                diff[2] = ( *BTIter ).xpVec[2] - delta_V[2];
                ( *BTIter ).chi2 = diff.dot(( *BTIter ).DtWD* diff );
                if ( ( *BTIter ).chi2 < 0 )
                {
                    std::cout << "VxFastFit::calculate: error in chi2_per_track: "<<( *BTIter ).chi2<<"\n";
                    return nullptr;
                }
                chi2New += ( *BTIter ).chi2;
            }
 
            if ( constraint )
            {
                Amg::Vector3D deltaTrk;
                deltaTrk.setZero();
                // last term will also be 0 again but only in the first iteration
                //                  = calc. vtx in billoir frame - (    constraint pos. in billoir frame    )
                deltaTrk[0] = delta_V[0]                 - ( firstStartingPoint.position() [0] - linPoint [0] );
                deltaTrk[1] = delta_V[1]                 - ( firstStartingPoint.position() [1] - linPoint [1] );
                deltaTrk[2] = delta_V[2]                 - ( firstStartingPoint.position() [2] - linPoint [2] );
                chi2New += Amg::chi2(firstStartingPoint.covariancePosition().inverse().eval(), deltaTrk);
            }
 
            /* assign new linearization point (= new vertex position in global frame) */
            Amg::Vector3D tmpPos ( linPoint );
            tmpPos[0] += delta_V[0];   tmpPos[1] += delta_V[1];   tmpPos[2] += delta_V[2];
            linPoint = tmpPos;
 
            // msg(MSG::VERBOSE) << "Vertex of Iteration " << niter << " with chi2: " << chi2New << "\t old chi2: " << chi2 << endmsg;
            // msg(MSG::VERBOSE) << "deltaV: ("    << delta_V[0] << ", " << delta_V[1] << ", " << delta_V[2] << ")" << endmsg;
            // msg(MSG::VERBOSE) << linPoint << endmsg;
 
            if ( chi2New < chi2 )
            {
                /* Store the vertex */
                chi2 = chi2New;
                //const AmgMatrix(3,3) * newCovarianceMatrix = &cov_delta_V_mat ;
                //const AmgMatrix(3,3) newErrorMatrix = newCovarianceMatrix->inverse().eval();
                //fittedVertex = RecVertex ( linPoint.position(), newErrorMatrix, ndf, chi2 );
 
                                // The cov_delta_V_mat does not need to be inverted.  -katy 2/3/16
                fittedVertex->setPosition( linPoint );
                fittedVertex->setCovariancePosition( cov_delta_V_mat );
                fittedVertex->setFitQuality( chi2, ndf );
 
                /* new go through vector and delete entries */
                /* // TODO: not needed anymore, tracksAtVertex doesn't store pointers - just the objects themselves <David Shope> (EDM Migration) 03/21/16
                for ( std::vector<Trk::VxTrackAtVertex*>::const_iterator itr = tracksAtVertex.begin();
                        itr != tracksAtVertex.end(); ++itr )
                {
                    delete ( *itr );
                }
                */
 
                tracksAtVertex.clear();
 
                Amg::Vector3D pointToExtrapolateTo ( linPoint [0], linPoint [1], linPoint [2] );
                Trk::PerigeeSurface perigeeSurface ( pointToExtrapolateTo );
                for ( BTIter = billoirTracks.begin(); BTIter != billoirTracks.end() ; ++BTIter )
                {
                    // you need to extrapolate the original perigee ((*BTIter).originalPerigee) really to the
                    // found vertex. The first propagation above is only to the starting point. But here we
                    // want to store it wrt. to the last fitted vertex
                    auto extrapolatedPerigee = std::unique_ptr<const Trk::TrackParameters> ( m_extrapolator->extrapolate ( 
              Gaudi::Hive::currentContext(), 
              * ( *BTIter ).originalPerigee, 
              perigeeSurface ) );
                    if ( extrapolatedPerigee==nullptr )
                    {
                        extrapolatedPerigee = std::unique_ptr<const Trk::TrackParameters>(((*BTIter).originalPerigee)->clone());
                        ATH_MSG_DEBUG("Could not extrapolate these track parameters to final vertex position! Storing original position as final one ...");
                    }
          //VxTrackAtVertex will own the clone of the extrapolatedPerigee
                    Trk::VxTrackAtVertex* tmpVxTrkAtVtx = new Trk::VxTrackAtVertex ( ( *BTIter ).chi2, extrapolatedPerigee->clone(), 
                                                                           ( *BTIter ).originalPerigee ) ;
                    tracksAtVertex.push_back ( *tmpVxTrkAtVtx );
                    // TODO: here is where the vxTracksAtVertex pointers are deleted
                    delete tmpVxTrkAtVtx; // TODO: is this ok?
                }
            }
 
            if ( fabs ( chi2Old-chi2New ) < m_maxDchi2PerNdf * ndf )
            {
                break;
            }
        } // end of iteration
        fittedVertex->vxTrackAtVertex() = tracksAtVertex;
        //ATH_MSG_VERBOSE("Final Vertex Fitted: " << fittedVxCandidate->recVertex()); // TODO: can no longer print vertex after converting to xAOD
        return fittedVertex.release();
    }
 
    xAOD::Vertex * FastVertexFitter::fit ( const std::vector<const Trk::TrackParameters*>& perigeeList ) const
    {
        Amg::Vector3D tmpVtx(0.,0.,0.);
        return fit ( perigeeList, tmpVtx );
    }
 
        //xAOD interfaced methods. Required to un-block the current situation  
        // with the xAOD tracking design. 
         xAOD::Vertex * FastVertexFitter::fit(const std::vector<const xAOD::TrackParticle*>& vectorTrk,const Amg::Vector3D& startingPoint)  const
         {
                  xAOD::Vertex constraint;
                  constraint.makePrivateStore();
                  constraint.setPosition( startingPoint );
                  constraint.setCovariancePosition( AmgSymMatrix(3)::Zero(3,3) );
                  constraint.setFitQuality( 0.,0.);
          return fit(vectorTrk, constraint);                                
         }//end of the xAOD starting point fit method 
         
             
         xAOD::Vertex * FastVertexFitter::fit(const std::vector<const xAOD::TrackParticle*>& vectorTrk, const xAOD::Vertex& constraint) const
         { 
           if(vectorTrk.empty()) 
           { 
            msg(MSG::INFO)<<"Empty vector of tracks passed"<<endmsg; 
            return nullptr; 
           } 
            
           //making a list of perigee out of the vector of tracks   
           std::vector<const Trk::TrackParameters*> measuredPerigees; 
            
           for(const auto *i : vectorTrk) 
           { 
            const Trk::TrackParameters * tmpMeasPer = &(i->perigeeParameters()); 
           
            if(tmpMeasPer!=nullptr) measuredPerigees.push_back(tmpMeasPer); 
            else  msg(MSG::INFO)<<"Failed to dynamic_cast this track parameters to perigee"<<endmsg; //TODO: Failed to implicit cast the perigee parameters to track parameters?
           } 
            
            
           xAOD::Vertex* fittedVertex = fit( measuredPerigees, constraint ); 
           // fit() may return nullptr, need to protect 
           if (fittedVertex == nullptr){
                ATH_MSG_WARNING("Failed fit, returning null vertex"); 
                return nullptr; 
           }
           //assigning the input tracks to the fitted vertex through VxTrackAtVertices
           { 
            if( fittedVertex->vxTrackAtVertexAvailable() ) // TODO: I don't think vxTrackAtVertexAvailable() does the same thing as a null pointer check!
                                                                                            // Regretful Hindsight 8 years later: No, it doesn't! 
            { 
             if(!fittedVertex->vxTrackAtVertex().empty()) 
             { 
              for(unsigned int i = 0; i <vectorTrk.size(); ++i) 
              { 
         
               LinkToXAODTrackParticle * linkTT = new LinkToXAODTrackParticle; 
               linkTT->setElement(vectorTrk[i]); 
         
               // vxtrackatvertex takes ownership! 
               ( fittedVertex->vxTrackAtVertex() )[i].setOrigTrack(linkTT); 
              }//end of loop for setting orig tracks in. 
             }//end of protection against unsuccessfull updates (no tracks were added) 
            }//end of vector of tracks check 
           }//end of pointer check 
 
                   //now set links to xAOD::TrackParticles directly in the xAOD::Vertex
                   unsigned int VTAVsize = fittedVertex->vxTrackAtVertex().size();
                   for (unsigned int i = 0 ; i < VTAVsize ; ++i)
                   {
                     Trk::VxTrackAtVertex* VTAV = &( fittedVertex->vxTrackAtVertex().at(i) );
                     //TODO: Will this pointer really hold 0 if no VxTrackAtVertex is found?
                     if (not VTAV){
                       ATH_MSG_WARNING (" Trying to set link to xAOD::TrackParticle. The VxTrackAtVertex is not found");
                       continue;
                     }
 
                     Trk::ITrackLink* trklink = VTAV->trackOrParticleLink();
 
                     // See if the trklink is to an xAOD::TrackParticle
                     Trk::LinkToXAODTrackParticle* linkToXAODTP = dynamic_cast<Trk::LinkToXAODTrackParticle*>(trklink);
                     if (linkToXAODTP)
                     {
 
                       //Now set the new link to the xAOD vertex
                       fittedVertex->addTrackAtVertex(*linkToXAODTP, VTAV->weight());
 
                     } else {
                       ATH_MSG_WARNING ("Skipping track. Trying to set link to something else than xAOD::TrackParticle. Neutrals not supported.");
                     }
                   } //end of loop
 
           return fittedVertex;
 
         }//end of the xAOD constrained fit method 
  
         
 
 
}