CMS 3D CMS Logo

Public Types | Public Member Functions | Protected Member Functions

ReferenceTrajectory Class Reference

#include <ReferenceTrajectory.h>

Inheritance diagram for ReferenceTrajectory:
ReferenceTrajectoryBase ReferenceCounted BzeroReferenceTrajectory

List of all members.

Public Types

typedef
SurfaceSideDefinition::SurfaceSide 
SurfaceSide

Public Member Functions

virtual ReferenceTrajectoryclone () const
 ReferenceTrajectory (const TrajectoryStateOnSurface &referenceTsos, const TransientTrackingRecHit::ConstRecHitContainer &recHits, bool hitsAreReverse, const MagneticField *magField, MaterialEffects materialEffects, PropagationDirection propDir, double mass, bool useBeamSpot, const reco::BeamSpot &beamSpot)
virtual ~ReferenceTrajectory ()

Protected Member Functions

virtual bool addMaterialEffectsBp (const std::vector< AlgebraicMatrix > &allJacobians, const std::vector< AlgebraicMatrix > &allProjections, const std::vector< AlgebraicSymMatrix > &allCurvChanges, const std::vector< AlgebraicSymMatrix > &allDeltaParaCovs, const std::vector< AlgebraicMatrix > &allLocalToCurv)
virtual bool addMaterialEffectsBrl (const std::vector< AlgebraicMatrix > &allJacobians, const std::vector< AlgebraicMatrix > &allProjections, const std::vector< AlgebraicSymMatrix > &allCurvChanges, const std::vector< AlgebraicSymMatrix > &allDeltaParaCovs, const std::vector< AlgebraicMatrix > &allLocalToCurv, const GlobalTrajectoryParameters &gtp)
virtual bool addMaterialEffectsBrl (const std::vector< AlgebraicMatrix > &allProjections, const std::vector< AlgebraicSymMatrix > &allDeltaParaCovs, const std::vector< AlgebraicMatrix > &allLocalToCurv, const std::vector< double > &allSteps, const GlobalTrajectoryParameters &gtp, const double minStep=1.0)
virtual bool addMaterialEffectsCov (const std::vector< AlgebraicMatrix > &allJacobians, const std::vector< AlgebraicMatrix > &allProjections, const std::vector< AlgebraicSymMatrix > &allCurvChanges, const std::vector< AlgebraicSymMatrix > &allDeltaParaCovs)
virtual bool construct (const TrajectoryStateOnSurface &referenceTsos, const TransientTrackingRecHit::ConstRecHitContainer &recHits, double mass, MaterialEffects materialEffects, const PropagationDirection propDir, const MagneticField *magField, bool useBeamSpot, const reco::BeamSpot &beamSpot)
MaterialEffectsUpdatorcreateUpdator (MaterialEffects materialEffects, double mass) const
virtual void fillDerivatives (const AlgebraicMatrix &projection, const AlgebraicMatrix &fullJacobian, unsigned int iRow)
virtual void fillMeasurementAndError (const TransientTrackingRecHit::ConstRecHitPointer &hitPtr, unsigned int iRow, const TrajectoryStateOnSurface &updatedTsos)
virtual void fillTrajectoryPositions (const AlgebraicMatrix &projection, const AlgebraicVector &mixedLocalParams, unsigned int iRow)
virtual bool propagate (const BoundPlane &previousSurface, const TrajectoryStateOnSurface &previousTsos, const BoundPlane &newSurface, TrajectoryStateOnSurface &newTsos, AlgebraicMatrix &newJacobian, AlgebraicMatrix &newCurvlinJacobian, double &nextStep, const PropagationDirection propDir, const MagneticField *magField) const
 ReferenceTrajectory (unsigned int nPar, unsigned int nHits, MaterialEffects materialEffects)
const SurfaceSide surfaceSide (const PropagationDirection dir) const

Detailed Description

Definition at line 45 of file ReferenceTrajectory.h.


Member Typedef Documentation

Definition at line 50 of file ReferenceTrajectory.h.


Constructor & Destructor Documentation

ReferenceTrajectory::ReferenceTrajectory ( const TrajectoryStateOnSurface referenceTsos,
const TransientTrackingRecHit::ConstRecHitContainer recHits,
bool  hitsAreReverse,
const MagneticField magField,
MaterialEffects  materialEffects,
PropagationDirection  propDir,
double  mass,
bool  useBeamSpot,
const reco::BeamSpot beamSpot 
)

Constructor with Tsos at first hit (in physical order) and list of hits [if (hitsAreReverse) ==> order of hits is in opposite direction compared to the flight of particle, but note that ReferenceTrajectory::recHits() returns the hits always in order of flight], the material effects to be considered and a particle mass, the magnetic field and beamSpot of the event are needed for propagations etc.

Definition at line 48 of file ReferenceTrajectory.cc.

References construct(), TrajectoryStateOnSurface::localParameters(), LocalTrajectoryParameters::mixedFormatVector(), ReferenceTrajectoryBase::theParameters, and ReferenceTrajectoryBase::theValidityFlag.

Referenced by clone().

 : ReferenceTrajectoryBase( 
   (materialEffects >= brokenLinesCoarse) ? 1 : refTsos.localParameters().mixedFormatVector().kSize, 
   (useBeamSpot == true) ? recHits.size()+1 : recHits.size(),
   (materialEffects >= brokenLinesCoarse) ? 
       2*((useBeamSpot == true) ? recHits.size()+1 : recHits.size())   :
   ( (materialEffects == breakPoints) ? 2*((useBeamSpot == true) ? recHits.size()+1 : recHits.size())-2 : 0) , 
   (materialEffects >= brokenLinesCoarse) ? 
       2*((useBeamSpot == true) ? recHits.size()+1 : recHits.size())-4 : 
   ( (materialEffects == breakPoints) ? 2*((useBeamSpot == true) ? recHits.size()+1 : recHits.size())-2 : 0) )
{
  // no check against magField == 0  
  theParameters = asHepVector<5>( refTsos.localParameters().mixedFormatVector() );
  
  if (hitsAreReverse) {
    TransientTrackingRecHit::ConstRecHitContainer fwdRecHits;
    fwdRecHits.reserve(recHits.size());
    for (TransientTrackingRecHit::ConstRecHitContainer::const_reverse_iterator it=recHits.rbegin();
         it != recHits.rend(); ++it) {
      fwdRecHits.push_back(*it);
    }
    theValidityFlag = this->construct(refTsos, fwdRecHits, mass, materialEffects,
                                      propDir, magField,
                                      useBeamSpot, beamSpot);
  } else {
    theValidityFlag = this->construct(refTsos, recHits, mass, materialEffects,
                                      propDir, magField,
                                      useBeamSpot, beamSpot);
  }
}
virtual ReferenceTrajectory::~ReferenceTrajectory ( ) [inline, virtual]

Definition at line 68 of file ReferenceTrajectory.h.

{}
ReferenceTrajectory::ReferenceTrajectory ( unsigned int  nPar,
unsigned int  nHits,
MaterialEffects  materialEffects 
) [protected]

Definition at line 89 of file ReferenceTrajectory.cc.

 : ReferenceTrajectoryBase( 
   (materialEffects >= brokenLinesCoarse) ? 1 : nPar, 
   nHits, 
   (materialEffects >= brokenLinesCoarse) ? 2*nHits   : ( (materialEffects == breakPoints) ? 2*nHits-2 : 0 ), 
   (materialEffects >= brokenLinesCoarse) ? 2*nHits-4 : ( (materialEffects == breakPoints) ? 2*nHits-2 : 0 ) )
{}

Member Function Documentation

bool ReferenceTrajectory::addMaterialEffectsBp ( const std::vector< AlgebraicMatrix > &  allJacobians,
const std::vector< AlgebraicMatrix > &  allProjections,
const std::vector< AlgebraicSymMatrix > &  allCurvChanges,
const std::vector< AlgebraicSymMatrix > &  allDeltaParaCovs,
const std::vector< AlgebraicMatrix > &  allLocalToCurv 
) [protected, virtual]

internal method to add material effects using break points

Definition at line 534 of file ReferenceTrajectory.cc.

References gen::k, prof2calltree::l, ReferenceTrajectoryBase::nMeasPerHit, ReferenceTrajectoryBase::theDerivatives, ReferenceTrajectoryBase::theMeasurementsCov, and ReferenceTrajectoryBase::theNumberOfPars.

Referenced by construct().

{
//CHK: add material effects using break points
  int offsetPar = theNumberOfPars; 
  int offsetMeas = nMeasPerHit * allJacobians.size();
  int ierr = 0; 

  AlgebraicMatrix tempJacobian;
  AlgebraicMatrix MSprojection(2,5);
  MSprojection[0][1] = 1;
  MSprojection[1][2] = 1;
  AlgebraicSymMatrix tempMSCov; 
  AlgebraicSymMatrix tempMSCovProj;
  AlgebraicMatrix tempMSJacProj;   

  for (unsigned int k = 1; k < allJacobians.size(); ++k) {
// CHK 
    int kbp = k-1;
    tempJacobian = allJacobians[k] * allCurvatureChanges[k];
    tempMSCov = allDeltaParameterCovs[k-1].similarity(allLocalToCurv[k-1]);
    tempMSCovProj = tempMSCov.similarity(MSprojection);
    theMeasurementsCov[offsetMeas+nMeasPerHit*kbp  ][offsetMeas+nMeasPerHit*kbp  ] = tempMSCovProj[0][0];
    theMeasurementsCov[offsetMeas+nMeasPerHit*kbp+1][offsetMeas+nMeasPerHit*kbp+1]=  tempMSCovProj[1][1];
    theDerivatives[offsetMeas+nMeasPerHit*kbp  ][offsetPar+2*kbp  ] = 1.0;
    theDerivatives[offsetMeas+nMeasPerHit*kbp+1][offsetPar+2*kbp+1] = 1.0 ; 

    tempMSJacProj = (allProjections[k] * ( tempJacobian * allLocalToCurv[k-1].inverse(ierr) )) * MSprojection.T();
    if (ierr) {
      edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBp"
                                 << "Inversion 1 for break points failed: " << ierr;
      return false;
    }
    theDerivatives[nMeasPerHit*k  ][offsetPar+2*kbp  ] =  tempMSJacProj[0][0];  
    theDerivatives[nMeasPerHit*k  ][offsetPar+2*kbp+1] =  tempMSJacProj[0][1]; 
    theDerivatives[nMeasPerHit*k+1][offsetPar+2*kbp  ] =  tempMSJacProj[1][0];  
    theDerivatives[nMeasPerHit*k+1][offsetPar+2*kbp+1] =  tempMSJacProj[1][1];
              
    for (unsigned int l = k+1; l < allJacobians.size(); ++l) {
// CHK    
      int kbp = k-1;
      tempJacobian = allJacobians[l] * allCurvatureChanges[l] * tempJacobian; 
      tempMSJacProj = (allProjections[l] * ( tempJacobian * allLocalToCurv[k-1].inverse(ierr) )) * MSprojection.T();
      if (ierr) {
        edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBp"
                                   << "Inversion 2 for break points failed: " << ierr;
        return false;
      }
      theDerivatives[nMeasPerHit*l  ][offsetPar+2*kbp  ] =  tempMSJacProj[0][0];  
      theDerivatives[nMeasPerHit*l  ][offsetPar+2*kbp+1] =  tempMSJacProj[0][1]; 
      theDerivatives[nMeasPerHit*l+1][offsetPar+2*kbp  ] =  tempMSJacProj[1][0];  
      theDerivatives[nMeasPerHit*l+1][offsetPar+2*kbp+1] =  tempMSJacProj[1][1]; 

    }

  }

  return true;
}
bool ReferenceTrajectory::addMaterialEffectsBrl ( const std::vector< AlgebraicMatrix > &  allJacobians,
const std::vector< AlgebraicMatrix > &  allProjections,
const std::vector< AlgebraicSymMatrix > &  allCurvChanges,
const std::vector< AlgebraicSymMatrix > &  allDeltaParaCovs,
const std::vector< AlgebraicMatrix > &  allLocalToCurv,
const GlobalTrajectoryParameters gtp 
) [protected, virtual]

internal methods to add material effects using broken lines (fine version)

Definition at line 599 of file ReferenceTrajectory.cc.

References gen::k, prof2calltree::l, GlobalTrajectoryParameters::momentum(), n, ReferenceTrajectoryBase::nMeasPerHit, L1TEmulatorMonitor_cff::p, mathSSE::sqrt(), ReferenceTrajectoryBase::theDerivatives, ReferenceTrajectoryBase::theInnerLocalToTrajectory, ReferenceTrajectoryBase::theInnerTrajectoryToCurvilinear, ReferenceTrajectoryBase::theMeasurementsCov, ReferenceTrajectoryBase::theNumberOfPars, PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

Referenced by construct().

{
//CHK: add material effects using broken lines
//fine: use exact Jacobians, all detectors  
//broken lines: pair of offsets (u1,u2) = (xt,yt) (in curvilinear frame (q/p,lambda,phi,xt,yt)) at each layer
//              scattering angles (alpha1,alpha2) = (cosLambda*dPhi, dLambda) (cosLambda cancels in Chi2)
//              DU' = (dU'/dU)*DU + (dU'/dAlpha)*DAlpha + (dU'/dQbyp)*DQbyp (propagation of U)
//                  = J*DU + S*DAlpha + d*DQbyp
//           => DAlpha = S^-1 (DU' - J*DU - d*DQbyp)

  int offsetPar = theNumberOfPars;
  int offsetMeas = nMeasPerHit*allCurvlinJacobians.size();
  int ierr = 0;

  GlobalVector p = gtp.momentum();
  double cosLambda = sqrt((p.x()*p.x()+p.y()*p.y())/(p.x()*p.x()+p.y()*p.y()+p.z()*p.z()));

// transformations Curvilinear <-> BrokenLines
  AlgebraicMatrix QbypToCurv(5,1);   // dCurv/dQbyp
  QbypToCurv[0][0] = 1.;             // dQbyp/dQbyp
  AlgebraicMatrix AngleToCurv(5,2);  // dCurv/dAlpha
  AngleToCurv[1][1] = 1.;            // dlambda/dalpha2
  AngleToCurv[2][0] = 1./cosLambda;  // dphi/dalpha1
  AlgebraicMatrix CurvToAngle(2,5);  // dAlpha/dCurv
  CurvToAngle[1][1] = 1.;            // dalpha2/dlambda
  CurvToAngle[0][2] = cosLambda;     // dalpha1/dphi
  AlgebraicMatrix OffsetToCurv(5,2); // dCurv/dU
  OffsetToCurv[3][0] = 1.;           // dxt/du1
  OffsetToCurv[4][1] = 1.;           // dyt/du2
  AlgebraicMatrix CurvToOffset(2,5); // dU/dCurv
  CurvToOffset[0][3] = 1.;           // du1/dxt
  CurvToOffset[1][4] = 1.;           // du2/dyt

// transformations  trajectory to components (Qbyp, U1, U2)
  AlgebraicMatrix TrajToQbyp(1,5);
  TrajToQbyp[0][0] = 1.;
  AlgebraicMatrix TrajToOff1(2,5);
  TrajToOff1[0][1] = 1.;
  TrajToOff1[1][2] = 1.;
  AlgebraicMatrix TrajToOff2(2,5);
  TrajToOff2[0][3] = 1.;
  TrajToOff2[1][4] = 1.;

  AlgebraicMatrix JacOffsetToAngleC, JacQbypToAngleC;
  AlgebraicMatrix JacCurvToOffsetL, JacOffsetToOffsetL, JacAngleToOffsetL, JacQbypToOffsetL, JacOffsetToAngleL;
  AlgebraicMatrix JacCurvToOffsetN, JacOffsetToOffsetN, JacAngleToOffsetN, JacQbypToOffsetN, JacOffsetToAngleN;

// transformation from trajectory to curvilinear parameters

  JacCurvToOffsetN = CurvToOffset * allCurvlinJacobians[1]; // (dU'/dCurv') * (dCurv'/dCurv) @ 2nd point
  JacOffsetToOffsetN = JacCurvToOffsetN * OffsetToCurv; // J: (dU'/dU)     = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dU)
  JacAngleToOffsetN  = JacCurvToOffsetN * AngleToCurv;  // S: (dU'/dAlpha) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dAlpha)
  JacQbypToOffsetN   = JacCurvToOffsetN * QbypToCurv;   // d: (dU'/dQbyp)  = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dQbyp)
  JacOffsetToAngleN  = JacAngleToOffsetN.inverse(ierr); // W
  if (ierr) {
     edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                                << "Inversion 1 for fine broken lines failed: " << ierr;
     return false;
  }
  JacOffsetToAngleC = -(JacOffsetToAngleN * JacOffsetToOffsetN); // (dAlpha/dU)
  JacQbypToAngleC   = -(JacOffsetToAngleN * JacQbypToOffsetN);   // (dAlpha/dQbyp)
  // (dAlpha/dTraj) = (dAlpha/dQbyp) * (dQbyp/dTraj) + (dAlpha/dU1) * (dU1/dTraj) + (dAlpha/dU2) * (dU2/dTraj)
  AlgebraicMatrix JacTrajToAngle = JacQbypToAngleC * TrajToQbyp + JacOffsetToAngleC * TrajToOff1 + JacOffsetToAngleN * TrajToOff2;
  // (dCurv/dTraj) = (dCurv/dQbyp) * (dQbyp/dTraj) + (dCurv/dAlpha) * (dAlpha/dTraj) + (dCurv/dU) * (dU/dTraj)
  theInnerTrajectoryToCurvilinear = QbypToCurv * TrajToQbyp + AngleToCurv * JacTrajToAngle + OffsetToCurv * TrajToOff1;
  theInnerLocalToTrajectory = theInnerTrajectoryToCurvilinear.inverse(ierr) * allLocalToCurv[0];
  if (ierr) {
    edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                               << "Inversion 2 for fine broken lines failed: " << ierr;
    return false;
  }

  AlgebraicMatrix tempJacobian(allCurvatureChanges[0]);
  AlgebraicSymMatrix tempMSCov;
  AlgebraicSymMatrix tempMSCovProj;
  AlgebraicMatrix tempJacL, tempJacN;
  AlgebraicMatrix JacOffsetToMeas;

// measurements from hits  
  for (unsigned int k = 0; k < allCurvlinJacobians.size(); ++k) {
//  (dMeas/dU) = (dMeas/dLoc) * (dLoc/dCurv) * (dCurv/dU)
    JacOffsetToMeas = (allProjections[k] * allLocalToCurv[k].inverse(ierr) ) * OffsetToCurv;
    if (ierr) {
       edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                                   << "Inversion 3 for fine broken lines failed: " << ierr;
       return false;
    }
    theDerivatives[nMeasPerHit*k  ][offsetPar+2*k  ] =  JacOffsetToMeas[0][0];
    theDerivatives[nMeasPerHit*k  ][offsetPar+2*k+1] =  JacOffsetToMeas[0][1];
    theDerivatives[nMeasPerHit*k+1][offsetPar+2*k  ] =  JacOffsetToMeas[1][0];
    theDerivatives[nMeasPerHit*k+1][offsetPar+2*k+1] =  JacOffsetToMeas[1][1];
  }

// measurement of MS kink  
  for (unsigned int k = 1; k < allCurvlinJacobians.size()-1; ++k) {
// CHK 
    int iMsMeas = k-1; 
    int l    = k-1; // last hit
    int n    = k+1; // next hit

// amount of multiple scattering in layer k  (angular error perp to direction)  
    tempMSCov = allDeltaParameterCovs[k].similarity(allLocalToCurv[k]);
    tempMSCovProj = tempMSCov.similarity(CurvToAngle);
    theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas  ][offsetMeas+nMeasPerHit*iMsMeas  ] = tempMSCovProj[1][1];
    theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas+1][offsetMeas+nMeasPerHit*iMsMeas+1] = tempMSCovProj[0][0];

// transformation matices for offsets ( l <- k -> n )
    tempJacL = allCurvlinJacobians[k] * tempJacobian;
    JacCurvToOffsetL = CurvToOffset * tempJacL.inverse(ierr); // (dU'/dCurv') * (dCurv'/dCurv) @ last point

    if (ierr) {
       edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                                   << "Inversion 4 for fine broken lines failed: " << ierr;
       return false;
    }
    JacOffsetToOffsetL = JacCurvToOffsetL * OffsetToCurv; // J-: (dU'/dU)     = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dU)
    JacAngleToOffsetL  = JacCurvToOffsetL * AngleToCurv;  // S-: (dU'/dAlpha) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dAlpha)
    JacQbypToOffsetL   = JacCurvToOffsetL * QbypToCurv;   // d-: (dU'/dQbyp)  = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dQbyp)
    JacOffsetToAngleL  =-JacAngleToOffsetL.inverse(ierr); // W-
    if (ierr) {
       edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                                   << "Inversion 5 for fine broken lines failed: " << ierr;
       return false;
    }
    tempJacobian = tempJacobian * allCurvatureChanges[k];
    tempJacN = allCurvlinJacobians[n] * tempJacobian;
    JacCurvToOffsetN = CurvToOffset * tempJacN; // (dU'/dCurv') * (dCurv'/dCurv) @ next point
    JacOffsetToOffsetN = JacCurvToOffsetN * OffsetToCurv; // J+: (dU'/dU)     = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dU)
    JacAngleToOffsetN  = JacCurvToOffsetN * AngleToCurv;  // S+: (dU'/dAlpha) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dAlpha)
    JacQbypToOffsetN   = JacCurvToOffsetN * QbypToCurv;   // d+: (dU'/dQbyp)  = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dQbyp)
    JacOffsetToAngleN  = JacAngleToOffsetN.inverse(ierr); // W+
    if (ierr) {
       edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                                   << "Inversion 6 for fine broken lines failed: " << ierr;
       return false;
    }
    JacOffsetToAngleC = -(JacOffsetToAngleL * JacOffsetToOffsetL + JacOffsetToAngleN * JacOffsetToOffsetN);
    JacQbypToAngleC   = -(JacOffsetToAngleL * JacQbypToOffsetL   + JacOffsetToAngleN * JacQbypToOffsetN);

    // bending    
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][              0] = JacQbypToAngleC[0][0];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][              0] = JacQbypToAngleC[1][0];
    // last layer
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*l  ] = JacOffsetToAngleL[0][0];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*l+1] = JacOffsetToAngleL[0][1];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*l  ] = JacOffsetToAngleL[1][0];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*l+1] = JacOffsetToAngleL[1][1];
    // current layer
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*k  ] = JacOffsetToAngleC[0][0];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*k+1] = JacOffsetToAngleC[0][1];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*k  ] = JacOffsetToAngleC[1][0];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*k+1] = JacOffsetToAngleC[1][1];

    // next layer
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*n  ] = JacOffsetToAngleN[0][0];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*n+1] = JacOffsetToAngleN[0][1];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*n  ] = JacOffsetToAngleN[1][0];
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*n+1] = JacOffsetToAngleN[1][1];

  }

  return true;
}
bool ReferenceTrajectory::addMaterialEffectsBrl ( const std::vector< AlgebraicMatrix > &  allProjections,
const std::vector< AlgebraicSymMatrix > &  allDeltaParaCovs,
const std::vector< AlgebraicMatrix > &  allLocalToCurv,
const std::vector< double > &  allSteps,
const GlobalTrajectoryParameters gtp,
const double  minStep = 1.0 
) [protected, virtual]

internal methods to add material effects using broken lines (coarse version)

Definition at line 768 of file ReferenceTrajectory.cc.

References delta, first, i, gen::k, prof2calltree::l, prof2calltree::last, mag(), GlobalTrajectoryParameters::magneticFieldInInverseGeV(), GlobalTrajectoryParameters::momentum(), n, ReferenceTrajectoryBase::nMeasPerHit, L1TEmulatorMonitor_cff::p, GlobalTrajectoryParameters::position(), mathSSE::sqrt(), ReferenceTrajectoryBase::theDerivatives, ReferenceTrajectoryBase::theInnerLocalToTrajectory, ReferenceTrajectoryBase::theInnerTrajectoryToCurvilinear, ReferenceTrajectoryBase::theMeasurementsCov, ReferenceTrajectoryBase::theNumberOfMsMeas, ReferenceTrajectoryBase::theNumberOfMsPars, ReferenceTrajectoryBase::theNumberOfPars, PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

{
//CHK: add material effects using broken lines
//BrokenLinesCoarse: combine close by detectors, 
//                   use approximate Jacobians from Steps (limit Qbyp -> 0),
//                   bending only in RPhi (B=(0,0,Bz)), no energy loss correction

  int offsetPar = theNumberOfPars; 
  int offsetMeas = nMeasPerHit*allSteps.size();
  int ierr = 0;

  GlobalVector p = gtp.momentum();
  double cosLambda = sqrt((p.x()*p.x()+p.y()*p.y())/(p.x()*p.x()+p.y()*p.y()+p.z()*p.z()));
  double bFac = -gtp.magneticFieldInInverseGeV(gtp.position()).mag();

  // transformation from trajectory to curvilinear parameters at refTsos
  double delta (1.0/allSteps[1]);    
  theInnerTrajectoryToCurvilinear[0][0] = 1;
  theInnerTrajectoryToCurvilinear[1][2] = -delta;  
  theInnerTrajectoryToCurvilinear[1][4] =  delta;    
  theInnerTrajectoryToCurvilinear[2][0] = -0.5*bFac/delta;
  theInnerTrajectoryToCurvilinear[2][1] = -delta/cosLambda;
  theInnerTrajectoryToCurvilinear[2][3] =  delta/cosLambda;
  theInnerTrajectoryToCurvilinear[3][1] = 1;
  theInnerTrajectoryToCurvilinear[4][2] = 1;
  theInnerLocalToTrajectory = theInnerTrajectoryToCurvilinear.inverse(ierr) * allLocalToCurv[0];
  if (ierr) {
    edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                               << "Inversion 1 for coarse broken lines failed: " << ierr;
    return false;
  }

  AlgebraicMatrix CurvToAngle(2,5);  // dAlpha/dCurv
  CurvToAngle[1][1] = 1.;            // dalpha2/dlambda
  CurvToAngle[0][2] = cosLambda;     // dalpha1/dphi
  AlgebraicMatrix OffsetToCurv(5,2); // dCurv/dU
  OffsetToCurv[3][0] = 1.;           // dxt/du1
  OffsetToCurv[4][1] = 1.;           // dyt/du2

  AlgebraicSymMatrix tempMSCov;
  AlgebraicSymMatrix tempMSCovProj;
  AlgebraicMatrix JacOffsetToMeas;

  // combine closeby detectors into single plane
  std::vector<unsigned int> first(allSteps.size());
  std::vector<unsigned int> last (allSteps.size());
  std::vector<unsigned int> plane(allSteps.size());
  std::vector<double> sPlane(allSteps.size());
  unsigned int nPlane = 0;
  double sTot = 0;

  for (unsigned int k = 1; k < allSteps.size(); ++k) {
    sTot += allSteps[k];
    if (fabs(allSteps[k])>minStep) { nPlane += 1; first[nPlane] = k; }
    last[nPlane] = k;
    plane[k] = nPlane;
    sPlane[nPlane] += sTot;
  }
  if (nPlane < 2) return false; // pathological cases: need at least 2 planes

  theNumberOfMsPars = 2*(nPlane+1);
  theNumberOfMsMeas = 2*(nPlane-1);// unsigned underflow for nPlane == 0...
  for (unsigned int k = 0; k <= nPlane; ++k) { sPlane[k] /= (double) (last[k]-first[k]+1); }

  // measurements from hits
  sTot = 0; 
  for (unsigned int k = 0; k < allSteps.size(); ++k) {
    sTot += allSteps[k];
//  (dMeas/dU) = (dMeas/dLoc) * (dLoc/dCurv) * (dCurv/dU)
    JacOffsetToMeas = (allProjections[k] * allLocalToCurv[k].inverse(ierr) ) * OffsetToCurv;
    if (ierr) {
      edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
                                 << "Inversion 2 for coarse broken lines failed: " << ierr;
      return false;
    }

    unsigned int iPlane = plane[k];
    if (last[iPlane] == first[iPlane])
    { // single plane
      theDerivatives[nMeasPerHit*k  ][offsetPar+2*iPlane  ] =  JacOffsetToMeas[0][0];
      theDerivatives[nMeasPerHit*k  ][offsetPar+2*iPlane+1] =  JacOffsetToMeas[0][1];
      theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane  ] =  JacOffsetToMeas[1][0];
      theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane+1] =  JacOffsetToMeas[1][1];
    } else
    { // combined plane: (linear) interpolation
      unsigned int jPlane; // neighbor plane for interpolation
      if (fabs(sTot) < fabs(sPlane[iPlane])) { jPlane = (iPlane>0) ? iPlane - 1 : 1; }
      else  { jPlane = (iPlane<nPlane) ? iPlane + 1 : nPlane -1 ;}
      // interpolation weights
      double sDiff = sPlane[iPlane] - sPlane[jPlane];
      double iFrac = (sTot - sPlane[jPlane]) / sDiff;
      double jFrac = 1.0 - iFrac;
      theDerivatives[nMeasPerHit*k  ][offsetPar+2*iPlane  ] =  JacOffsetToMeas[0][0]*iFrac;
      theDerivatives[nMeasPerHit*k  ][offsetPar+2*iPlane+1] =  JacOffsetToMeas[0][1]*iFrac;
      theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane  ] =  JacOffsetToMeas[1][0]*iFrac;
      theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane+1] =  JacOffsetToMeas[1][1]*iFrac;
      theDerivatives[nMeasPerHit*k  ][offsetPar+2*jPlane  ] =  JacOffsetToMeas[0][0]*jFrac;
      theDerivatives[nMeasPerHit*k  ][offsetPar+2*jPlane+1] =  JacOffsetToMeas[0][1]*jFrac;
      theDerivatives[nMeasPerHit*k+1][offsetPar+2*jPlane  ] =  JacOffsetToMeas[1][0]*jFrac;
      theDerivatives[nMeasPerHit*k+1][offsetPar+2*jPlane+1] =  JacOffsetToMeas[1][1]*jFrac;
      // 2nd order neglected
      // theDerivatives[nMeasPerHit*k  ][                   0] = -0.5*bFac*sDiff*iFrac*sDiff*jFrac*cosLambda;
    }
  }

// measurement of MS kink
  for (unsigned int i = 1; i < nPlane; ++i) {
// CHK 
    int iMsMeas = i-1;
    int l    = i-1; // last hit
    int n    = i+1; // next hit

// amount of multiple scattering in plane k
    for (unsigned int k = first[i]; k <= last[i]; ++k) {
      tempMSCov = allDeltaParameterCovs[k].similarity(allLocalToCurv[k]);
      tempMSCovProj = tempMSCov.similarity(CurvToAngle);
      theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas  ][offsetMeas+nMeasPerHit*iMsMeas  ] += tempMSCovProj[0][0];
      theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas+1][offsetMeas+nMeasPerHit*iMsMeas+1] += tempMSCovProj[1][1];
    }
// broken line measurements for layer k, correlations between both planes neglected
    double stepK = sPlane[i] - sPlane[l];
    double stepN = sPlane[n] - sPlane[i];
    double deltaK (1.0/stepK);
    double deltaN (1.0/stepN);
    // bending (only in RPhi)
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][              0] = -0.5*bFac*(stepK+stepN)*cosLambda;
    // last layer
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*l  ] = deltaK;
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*l+1] = deltaK;
    // current layer
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*i  ] = -(deltaK + deltaN);
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*i+1] = -(deltaK + deltaN);
    // next layer
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas  ][offsetPar+2*n  ] = deltaN;
    theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*n+1] = deltaN;
  }

  return true;
}
bool ReferenceTrajectory::addMaterialEffectsCov ( const std::vector< AlgebraicMatrix > &  allJacobians,
const std::vector< AlgebraicMatrix > &  allProjections,
const std::vector< AlgebraicSymMatrix > &  allCurvChanges,
const std::vector< AlgebraicSymMatrix > &  allDeltaParaCovs 
) [protected, virtual]

internal method to add material effects to measurments covariance matrix

Definition at line 466 of file ReferenceTrajectory.cc.

References gen::k, prof2calltree::l, ReferenceTrajectoryBase::nMeasPerHit, and ReferenceTrajectoryBase::theMeasurementsCov.

Referenced by construct().

{
  // the uncertainty due to multiple scattering is 'transferred' to the error matrix of the hits

  // GF: Needs update once hit dimension is not hardcoded as nMeasPerHit!

  AlgebraicSymMatrix materialEffectsCov(nMeasPerHit * allJacobians.size(), 0);

  // additional covariance-matrix of the measurements due to material-effects (single measurement)
  AlgebraicSymMatrix deltaMaterialEffectsCov;

  // additional covariance-matrix of the parameters due to material-effects
  AlgebraicSymMatrix paramMaterialEffectsCov(allDeltaParameterCovs[0]); //initialization
  // error-propagation to state after energy loss
  //GFback  paramMaterialEffectsCov = paramMaterialEffectsCov.similarity(allCurvatureChanges[0]);

  AlgebraicMatrix tempParameterCov;
  AlgebraicMatrix tempMeasurementCov;

  for (unsigned int k = 1; k < allJacobians.size(); ++k) {
    // error-propagation to next layer
    paramMaterialEffectsCov = paramMaterialEffectsCov.similarity(allJacobians[k]);

    // get dependences for the measurements
    deltaMaterialEffectsCov = paramMaterialEffectsCov.similarity(allProjections[k]);
    materialEffectsCov[nMeasPerHit*k  ][nMeasPerHit*k  ] = deltaMaterialEffectsCov[0][0];
    materialEffectsCov[nMeasPerHit*k  ][nMeasPerHit*k+1] = deltaMaterialEffectsCov[0][1];
    materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*k  ] = deltaMaterialEffectsCov[1][0];
    materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*k+1] = deltaMaterialEffectsCov[1][1];

    // GFback add uncertainties for the following layers due to scattering at this layer
    paramMaterialEffectsCov += allDeltaParameterCovs[k];
    // end GFback
    tempParameterCov = paramMaterialEffectsCov;

    // compute "inter-layer-dependencies"
    for (unsigned int l = k+1; l < allJacobians.size(); ++l) {
      tempParameterCov   = allJacobians[l]   * allCurvatureChanges[l] * tempParameterCov;
      tempMeasurementCov = allProjections[l] * tempParameterCov       * allProjections[k].T();

      materialEffectsCov[nMeasPerHit*l][nMeasPerHit*k] = tempMeasurementCov[0][0];
      materialEffectsCov[nMeasPerHit*k][nMeasPerHit*l] = tempMeasurementCov[0][0];

      materialEffectsCov[nMeasPerHit*l][nMeasPerHit*k+1] = tempMeasurementCov[0][1];
      materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*l] = tempMeasurementCov[0][1];

      materialEffectsCov[nMeasPerHit*l+1][nMeasPerHit*k] = tempMeasurementCov[1][0];
      materialEffectsCov[nMeasPerHit*k][nMeasPerHit*l+1] = tempMeasurementCov[1][0];

      materialEffectsCov[nMeasPerHit*l+1][nMeasPerHit*k+1] = tempMeasurementCov[1][1];
      materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*l+1] = tempMeasurementCov[1][1];
    } 
    // add uncertainties for the following layers due to scattering at this layer
    // GFback paramMaterialEffectsCov += allDeltaParameterCovs[k];    
    // error-propagation to state after energy loss
    paramMaterialEffectsCov = paramMaterialEffectsCov.similarity(allCurvatureChanges[k]);
     
  }
  theMeasurementsCov += materialEffectsCov;

  return true; // cannot fail
}
virtual ReferenceTrajectory* ReferenceTrajectory::clone ( void  ) const [inline, virtual]

Implements ReferenceTrajectoryBase.

Reimplemented in BzeroReferenceTrajectory.

Definition at line 70 of file ReferenceTrajectory.h.

References ReferenceTrajectory().

{ return new ReferenceTrajectory(*this); }
bool ReferenceTrajectory::construct ( const TrajectoryStateOnSurface referenceTsos,
const TransientTrackingRecHit::ConstRecHitContainer recHits,
double  mass,
MaterialEffects  materialEffects,
const PropagationDirection  propDir,
const MagneticField magField,
bool  useBeamSpot,
const reco::BeamSpot beamSpot 
) [protected, virtual]

internal method to calculate members

Definition at line 101 of file ReferenceTrajectory.cc.

References addMaterialEffectsBp(), addMaterialEffectsBrl(), addMaterialEffectsCov(), alongMomentum, ReferenceTrajectoryBase::breakPoints, ReferenceTrajectoryBase::brokenLinesCoarse, ReferenceTrajectoryBase::brokenLinesFine, BoundPlane::build(), ReferenceTrajectoryBase::combined, createUpdator(), Vector3DBase< T, FrameTag >::cross(), reco::BeamSpot::dxdz(), reco::BeamSpot::dydz(), ReferenceTrajectoryBase::energyLoss, fillDerivatives(), fillMeasurementAndError(), fillTrajectoryPositions(), TrajectoryStateOnSurface::freeState(), TrajectoryStateOnSurface::globalParameters(), TrajectoryStateOnSurface::hasError(), TrajectoryStateOnSurface::localError(), TrajectoryStateOnSurface::localParameters(), LocalTrajectoryError::matrix(), FreeTrajectoryState::momentum(), ReferenceTrajectoryBase::multipleScattering, ReferenceTrajectoryBase::nMeasPerHit, ReferenceTrajectoryBase::none, PV3DBase< T, PVType, FrameType >::phi(), propagate(), AnalyticalPropagator::propagateWithPath(), LargeD0_PixelPairStep_cff::propagator, LocalTrajectoryParameters::signedInverseMomentum(), TrajectoryStateOnSurface::surface(), GeomDet::surface(), surfaceSide(), ReferenceTrajectoryBase::theDerivatives, ReferenceTrajectoryBase::theInnerLocalToTrajectory, ReferenceTrajectoryBase::theInnerTrajectoryToCurvilinear, ReferenceTrajectoryBase::theNumberOfHits, ReferenceTrajectoryBase::theNumberOfMsPars, ReferenceTrajectoryBase::theParameters, ReferenceTrajectoryBase::theRecHits, ReferenceTrajectoryBase::theTrajectoryPositionCov, ReferenceTrajectoryBase::theTsosVec, TSCBLBuilderNoMaterial_cfi::TSCBLBuilderNoMaterial, ReferenceTrajectoryBase::useRecHit(), reco::BeamSpot::x0(), reco::BeamSpot::y0(), and reco::BeamSpot::z0().

Referenced by BzeroReferenceTrajectory::BzeroReferenceTrajectory(), and ReferenceTrajectory().

{   
  TrajectoryStateOnSurface theRefTsos = refTsos;

  const SurfaceSide surfaceSide = this->surfaceSide(propDir);
  // auto_ptr to avoid memory leaks in case of not reaching delete at end of method:
  std::auto_ptr<MaterialEffectsUpdator> aMaterialEffectsUpdator
    (this->createUpdator(materialEffects, mass));
  if (!aMaterialEffectsUpdator.get()) return false; // empty auto_ptr

  AlgebraicMatrix                 fullJacobian(theParameters.num_row(), theParameters.num_row());
  std::vector<AlgebraicMatrix>    allJacobians; 
  allJacobians.reserve(theNumberOfHits);

  TransientTrackingRecHit::ConstRecHitPointer  previousHitPtr;
  TrajectoryStateOnSurface                     previousTsos;
  AlgebraicSymMatrix              previousChangeInCurvature(theParameters.num_row(), 1);
  std::vector<AlgebraicSymMatrix> allCurvatureChanges; 
  allCurvatureChanges.reserve(theNumberOfHits);
  
  const LocalTrajectoryError zeroErrors(0., 0., 0., 0., 0.);

  std::vector<AlgebraicMatrix> allProjections;
  allProjections.reserve(theNumberOfHits);
  std::vector<AlgebraicSymMatrix> allDeltaParameterCovs;
  allDeltaParameterCovs.reserve(theNumberOfHits);

  // CHK
  std::vector<AlgebraicMatrix> allLocalToCurv;
  allLocalToCurv.reserve(theNumberOfHits); 
  std::vector<double> allSteps;
  allSteps.reserve(theNumberOfHits); 
  std::vector<AlgebraicMatrix>    allCurvlinJacobians; 
  allCurvlinJacobians.reserve(theNumberOfHits);
  
  AlgebraicMatrix firstCurvlinJacobian(5, 5, 1);
  
  unsigned int iRow = 0;

  // local storage vector of all rechits (including rechit for beam spot in case it is used)
  TransientTrackingRecHit::ConstRecHitContainer allRecHits;

  if (useBeamSpot && propDir==alongMomentum) {
    
    GlobalPoint bs(beamSpot.x0(), beamSpot.y0(), beamSpot.z0());
    
    TrajectoryStateClosestToBeamLine tsctbl(TSCBLBuilderNoMaterial()(*(refTsos.freeState()), beamSpot));
    FreeTrajectoryState pcaFts = tsctbl.trackStateAtPCA();
    GlobalVector bd(beamSpot.dxdz(), beamSpot.dydz(), 1.0);
    
    //propagation FIXME: Should use same propagator everywhere...
    AnalyticalPropagator propagator(magField);
    std::pair< TrajectoryStateOnSurface, double > tsosWithPath =
      propagator.propagateWithPath(pcaFts, refTsos.surface());
    
    if (!tsosWithPath.first.isValid()) return false;
    
    GlobalVector momDir(pcaFts.momentum());
    GlobalVector perpDir(bd.cross(momDir));
    BoundPlane::RotationType rotation(perpDir, bd);
    
    BeamSpotGeomDet * bsGeom = new BeamSpotGeomDet(BoundPlane::build(bs, rotation, OpenBounds()));

    // There is also a constructor taking the magentic field. Use this one instead?
    theRefTsos = TrajectoryStateOnSurface(pcaFts, bsGeom->surface());
    
    TransientTrackingRecHit::ConstRecHitPointer bsRecHit = 
      new BeamSpotTransientTrackingRecHit(beamSpot,
                                          bsGeom,
                                          theRefTsos.freeState()->momentum().phi());
    allRecHits.push_back(bsRecHit);

  }
  
  // copy all rechits to the local storage vector
  TransientTrackingRecHit::ConstRecHitContainer::const_iterator itRecHit;
  for ( itRecHit = recHits.begin(); itRecHit != recHits.end(); ++itRecHit ) { 
    const TransientTrackingRecHit::ConstRecHitPointer &hitPtr = *itRecHit;
    allRecHits.push_back(hitPtr);
  }

  for ( itRecHit = allRecHits.begin(); itRecHit != allRecHits.end(); ++itRecHit ) { 
    
    const TransientTrackingRecHit::ConstRecHitPointer &hitPtr = *itRecHit;
    theRecHits.push_back(hitPtr);

    if (0 == iRow) {

      // compute the derivatives of the reference-track's parameters w.r.t. the initial ones
      // derivative of the initial reference-track parameters w.r.t. themselves is of course the identity 
      fullJacobian = AlgebraicMatrix(theParameters.num_row(), theParameters.num_row(), 1);
      allJacobians.push_back(fullJacobian);
      theTsosVec.push_back(theRefTsos);
      const JacobianLocalToCurvilinear startTrafo(hitPtr->det()->surface(), theRefTsos.localParameters(), *magField);
      const AlgebraicMatrix localToCurvilinear =  asHepMatrix<5>(startTrafo.jacobian());
      if (materialEffects <= breakPoints) {
         theInnerTrajectoryToCurvilinear = asHepMatrix<5>(startTrafo.jacobian());
         theInnerLocalToTrajectory = AlgebraicMatrix(5, 5, 1);
      }  
      allLocalToCurv.push_back(localToCurvilinear);
      allSteps.push_back(0.);
      allCurvlinJacobians.push_back(firstCurvlinJacobian);

    } else {

      AlgebraicMatrix nextJacobian;
      AlgebraicMatrix nextCurvlinJacobian;
      double nextStep = 0.;
      TrajectoryStateOnSurface nextTsos;

      if (!this->propagate(previousHitPtr->det()->surface(), previousTsos,
                           hitPtr->det()->surface(), nextTsos,
                           nextJacobian, nextCurvlinJacobian, nextStep, propDir, magField)) {
        return false; // stop if problem...// no delete aMaterialEffectsUpdator needed
      }
      
      allJacobians.push_back(nextJacobian);
      fullJacobian = nextJacobian * previousChangeInCurvature * fullJacobian;
      theTsosVec.push_back(nextTsos);
      
      const JacobianLocalToCurvilinear startTrafo(hitPtr->det()->surface(), nextTsos.localParameters(), *magField);
      const AlgebraicMatrix localToCurvilinear =  asHepMatrix<5>(startTrafo.jacobian());
      allLocalToCurv.push_back(localToCurvilinear);
      if (nextStep == 0.) { 
        edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::construct"
                                   << "step 0. from id " << previousHitPtr->geographicalId()
                                   << " to " << hitPtr->det()->geographicalId() << ".";
        // brokenLinesFine will not work, brokenLinesCoarse combines close by layers
        if (materialEffects == brokenLinesFine) {
          edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::construct" << "Skip track.";
          return false;
        }
      }
      allSteps.push_back(nextStep);
      allCurvlinJacobians.push_back(nextCurvlinJacobian);

    }

    // take material effects into account. since trajectory-state is constructed with errors equal zero,
    // the updated state contains only the uncertainties due to interactions in the current layer.
    const TrajectoryStateOnSurface tmpTsos(theTsosVec.back().localParameters(), zeroErrors,
                                           theTsosVec.back().surface(), magField, surfaceSide);
    const TrajectoryStateOnSurface updatedTsos = aMaterialEffectsUpdator->updateState(tmpTsos, propDir);

    if ( !updatedTsos.isValid() ) return false;// no delete aMaterialEffectsUpdator needed
    
    if ( theTsosVec.back().localParameters().charge() )
    {
      previousChangeInCurvature[0][0] = updatedTsos.localParameters().signedInverseMomentum() 
        / theTsosVec.back().localParameters().signedInverseMomentum();
    }
    
    // get multiple-scattering covariance-matrix
    allDeltaParameterCovs.push_back( asHepMatrix<5>(updatedTsos.localError().matrix()) );
    allCurvatureChanges.push_back(previousChangeInCurvature);
    
    // projection-matrix tsos-parameters -> measurement-coordinates
    if ( useRecHit( hitPtr ) ) { allProjections.push_back( hitPtr->projectionMatrix() ); }
    else                       { allProjections.push_back( AlgebraicMatrix( 2, 5, 0) ); } // get size from ???
    
    // set start-parameters for next propagation. trajectory-state without error
    //  - no error propagation needed here.
    previousHitPtr = hitPtr;
    previousTsos   = TrajectoryStateOnSurface(updatedTsos.globalParameters(),
                                              updatedTsos.surface(), surfaceSide);
    
    if (materialEffects < brokenLinesCoarse) {
      this->fillDerivatives(allProjections.back(), fullJacobian, iRow);
    }

    AlgebraicVector mixedLocalParams = asHepVector<5>(theTsosVec.back().localParameters().mixedFormatVector());
    this->fillTrajectoryPositions(allProjections.back(), mixedLocalParams, iRow);
    if ( useRecHit( hitPtr ) ) this->fillMeasurementAndError(hitPtr, iRow, updatedTsos);

    iRow += nMeasPerHit;
  } // end of loop on hits

  bool msOK = true;
  switch (materialEffects) {
  case none:
    break;
  case multipleScattering:
  case energyLoss:
  case combined:
    msOK = this->addMaterialEffectsCov(allJacobians, allProjections, allCurvatureChanges,
                                       allDeltaParameterCovs);
    break;
  case breakPoints:
    msOK = this->addMaterialEffectsBp(allJacobians, allProjections, allCurvatureChanges,
                                      allDeltaParameterCovs, allLocalToCurv);
    break;
  case brokenLinesCoarse:
    msOK = this->addMaterialEffectsBrl(allProjections, allDeltaParameterCovs, allLocalToCurv,
                                       allSteps, refTsos.globalParameters());
    break;
  case brokenLinesFine:
    msOK = this->addMaterialEffectsBrl(allCurvlinJacobians, allProjections, allCurvatureChanges,
                                       allDeltaParameterCovs, allLocalToCurv, refTsos.globalParameters());
  }
  if (!msOK) return false;
 
  if (refTsos.hasError()) {
    AlgebraicSymMatrix parameterCov = asHepMatrix<5>(refTsos.localError().matrix());
    AlgebraicMatrix  parDeriv;
    if (theNumberOfMsPars>0) { 
      parDeriv = theDerivatives.sub( 1, nMeasPerHit*allJacobians.size(), 1, theParameters.num_row() ); 
    } else {
      parDeriv = theDerivatives; 
    }
    theTrajectoryPositionCov = parameterCov.similarity(parDeriv);
  } else {
    theTrajectoryPositionCov = AlgebraicSymMatrix(theDerivatives.num_row(), 1);
  }

  return true;
}
MaterialEffectsUpdator * ReferenceTrajectory::createUpdator ( MaterialEffects  materialEffects,
double  mass 
) const [protected]

internal method to get apropriate updator

Definition at line 327 of file ReferenceTrajectory.cc.

References ReferenceTrajectoryBase::breakPoints, ReferenceTrajectoryBase::brokenLinesCoarse, ReferenceTrajectoryBase::brokenLinesFine, ReferenceTrajectoryBase::combined, ReferenceTrajectoryBase::energyLoss, ReferenceTrajectoryBase::multipleScattering, and ReferenceTrajectoryBase::none.

Referenced by construct().

{
  switch (materialEffects) {
    // MultipleScatteringUpdator doesn't change the trajectory-state
    // during update and can therefore be used if material effects should be ignored:
  case none:
  case multipleScattering: 
    return new MultipleScatteringUpdator(mass);
  case energyLoss:
    return new EnergyLossUpdator(mass);
  case combined:
    return new CombinedMaterialEffectsUpdator(mass);
  case breakPoints:
    return new CombinedMaterialEffectsUpdator(mass);
  case brokenLinesCoarse:
  case brokenLinesFine:
    return new CombinedMaterialEffectsUpdator(mass);
}

  return 0;
}
void ReferenceTrajectory::fillDerivatives ( const AlgebraicMatrix projection,
const AlgebraicMatrix fullJacobian,
unsigned int  iRow 
) [protected, virtual]

internal method to fill derivatives for hit iRow/2

Definition at line 432 of file ReferenceTrajectory.cc.

References i, ReferenceTrajectoryBase::parameters(), and ReferenceTrajectoryBase::theDerivatives.

Referenced by construct().

{
  // derivatives of the local coordinates of the reference track w.r.t. to the inital track-parameters
  const AlgebraicMatrix projectedJacobian(projection * fullJacobian);
  for (int i = 0; i < parameters().num_row(); ++i) {
    theDerivatives[iRow  ][i] = projectedJacobian[0][i];
    theDerivatives[iRow+1][i] = projectedJacobian[1][i];
    // GF: Should be a loop once the hit dimension is not hardcoded as nMeasPerHit (to be checked):
    // for (int j = 0; j < projection.num_col(); ++j) {
    //   theDerivatives[iRow+j][i] = projectedJacobian[j][i];
    // }
  }
}
void ReferenceTrajectory::fillMeasurementAndError ( const TransientTrackingRecHit::ConstRecHitPointer hitPtr,
unsigned int  iRow,
const TrajectoryStateOnSurface updatedTsos 
) [protected, virtual]

internal method to fill measurement and error matrix for hit iRow/2

Definition at line 400 of file ReferenceTrajectory.cc.

References ReferenceTrajectoryBase::theMeasurements, ReferenceTrajectoryBase::theMeasurementsCov, LocalError::xx(), LocalError::xy(), and LocalError::yy().

Referenced by construct().

{
  // get the measurements and their errors, use information updated with tsos if improving
  // (GF: Also for measurements or only for errors or do the former not change?)
  // GF 10/2008: I doubt that it makes sense to update the hit with the tsos here:
  //             That is an analytical extrapolation and not the best guess of the real 
  //             track state on the module, but the latter should be better to get the best
  //             hit uncertainty estimate!
  TransientTrackingRecHit::ConstRecHitPointer newHitPtr(hitPtr->canImproveWithTrack() ?
                                                        hitPtr->clone(updatedTsos) : hitPtr);

  const LocalPoint localMeasurement    = newHitPtr->localPosition();
  const LocalError localMeasurementCov = newHitPtr->localPositionError();
  
  theMeasurements[iRow]   = localMeasurement.x();
  theMeasurements[iRow+1] = localMeasurement.y();
  theMeasurementsCov[iRow][iRow]     = localMeasurementCov.xx();
  theMeasurementsCov[iRow][iRow+1]   = localMeasurementCov.xy();
  theMeasurementsCov[iRow+1][iRow+1] = localMeasurementCov.yy();
  // GF: Should be a loop once the hit dimension is not hardcoded as nMeasPerHit (to be checked):
  // for (int i = 0; i < hitPtr->dimension(); ++i) {
  //   theMeasurements[iRow+i]   = hitPtr->parameters()[i]; // fixme: parameters() is by value!
  //   for (int j = i; j < hitPtr->dimension(); ++j) {
  //     theMeasurementsCov[iRow+i][iRow+j] = hitPtr->parametersError()[i][j];
  //   }
  // }
}
void ReferenceTrajectory::fillTrajectoryPositions ( const AlgebraicMatrix projection,
const AlgebraicVector mixedLocalParams,
unsigned int  iRow 
) [protected, virtual]

internal method to fill the trajectory positions for hit iRow/2

Definition at line 450 of file ReferenceTrajectory.cc.

References ReferenceTrajectoryBase::theTrajectoryPositions.

Referenced by construct().

{
  // get the local coordinates of the reference trajectory
  const AlgebraicVector localPosition(projection * mixedLocalParams);
  theTrajectoryPositions[iRow] = localPosition[0];
  theTrajectoryPositions[iRow+1] = localPosition[1];
  // GF: Should be a loop once the hit dimension is not hardcoded as nMeasPerHit (to be checked):
  // for (int j = 0; j < projection.num_col(); ++j) {
  //   theTrajectoryPositions[iRow+j] = localPosition[j];
  // }
}
bool ReferenceTrajectory::propagate ( const BoundPlane previousSurface,
const TrajectoryStateOnSurface previousTsos,
const BoundPlane newSurface,
TrajectoryStateOnSurface newTsos,
AlgebraicMatrix newJacobian,
AlgebraicMatrix newCurvlinJacobian,
double &  nextStep,
const PropagationDirection  propDir,
const MagneticField magField 
) const [protected, virtual]

internal method to calculate jacobian

From TrackingTools/ GeomPropagators/ interface/ AnalyticalPropagator.h NB: this propagator assumes constant, non-zero magnetic field parallel to the z-axis!

Definition at line 351 of file ReferenceTrajectory.cc.

References TrajectoryStateOnSurface::globalParameters(), TrajectoryStateOnSurface::localParameters(), and Propagator::propagateWithPath().

Referenced by construct().

{
  // propagate to next layer
  //AnalyticalPropagator aPropagator(magField, propDir);
  // Hard coded RungeKutta instead Analytical (avoid bias in TEC), but
  // work around TrackPropagation/RungeKutta/interface/RKTestPropagator.h and
  // https://www.parashift.com/c++-faq-lite/strange-inheritance.html#faq-23.9
  RKTestPropagator bPropagator(magField, propDir); //double tolerance = 5.e-5)
  Propagator &aPropagator = bPropagator;
  const std::pair<TrajectoryStateOnSurface, double> tsosWithPath =
    aPropagator.propagateWithPath(previousTsos, newSurface);

  // stop if propagation wasn't successful
  if (!tsosWithPath.first.isValid()) return false;
  
  nextStep = tsosWithPath.second;
  // calculate derivative of reference-track parameters on the actual layer w.r.t. the ones
  // on the previous layer (both in global coordinates)
  const AnalyticalCurvilinearJacobian aJacobian(previousTsos.globalParameters(), 
                                                tsosWithPath.first.globalPosition(),
                                                tsosWithPath.first.globalMomentum(),
                                                tsosWithPath.second);
  const AlgebraicMatrix curvilinearJacobian = asHepMatrix<5,5>(aJacobian.jacobian());

  // jacobian of the track parameters on the previous layer for local->global transformation
  const JacobianLocalToCurvilinear startTrafo(previousSurface, previousTsos.localParameters(), *magField);
  const AlgebraicMatrix localToCurvilinear = asHepMatrix<5>(startTrafo.jacobian());
    
  // jacobian of the track parameters on the actual layer for global->local transformation
  const JacobianCurvilinearToLocal endTrafo(newSurface, tsosWithPath.first.localParameters(), *magField);
  const AlgebraicMatrix curvilinearToLocal = asHepMatrix<5>(endTrafo.jacobian());
  
  // compute derivative of reference-track parameters on the actual layer w.r.t. the ones on
  // the previous layer (both in their local representation)
  newCurvlinJacobian = curvilinearJacobian;
  newJacobian = curvilinearToLocal * curvilinearJacobian * localToCurvilinear;
  newTsos     = tsosWithPath.first;

  return true;
}
const SurfaceSide ReferenceTrajectory::surfaceSide ( const PropagationDirection  dir) const [inline, protected]