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ReferenceTrajectory Class Reference

#include <ReferenceTrajectory.h>

Inheritance diagram for ReferenceTrajectory:
ReferenceTrajectoryBase ReferenceCounted BzeroReferenceTrajectory

Public Types

typedef
SurfaceSideDefinition::SurfaceSide 
SurfaceSide
 
- Public Types inherited from ReferenceTrajectoryBase
enum  MaterialEffects {
  none, multipleScattering, energyLoss, combined,
  breakPoints, brokenLinesCoarse, brokenLinesFine, localGBL,
  curvlinGBL
}
 
typedef
ReferenceCountingPointer
< ReferenceTrajectoryBase
ReferenceTrajectoryPtr
 

Public Member Functions

virtual ReferenceTrajectoryclone () const
 
 ReferenceTrajectory (const TrajectoryStateOnSurface &referenceTsos, const TransientTrackingRecHit::ConstRecHitContainer &recHits, const MagneticField *magField, const reco::BeamSpot &beamSpot, const ReferenceTrajectoryBase::Config &config)
 
virtual ~ReferenceTrajectory ()
 
- Public Member Functions inherited from ReferenceTrajectoryBase
const AlgebraicMatrixderivatives () const
 
const TMatrixD & gblExtDerivatives () const
 
const TVectorD & gblExtMeasurements () const
 
const TVectorD & gblExtPrecisions () const
 
std::vector< std::pair
< std::vector< gbl::GblPoint >
, TMatrixD > > & 
gblInput ()
 
bool isValid ()
 
const AlgebraicMatrixlocalToTrajectory () const
 
const AlgebraicSymMatrixmeasurementErrors () const
 
const AlgebraicVectormeasurements () const
 
int nominalField () const
 
unsigned int numberOfHitMeas () const
 
unsigned int numberOfHits () const
 
unsigned int numberOfPar () const
 
unsigned int numberOfVirtualMeas () const
 
unsigned int numberOfVirtualPar () const
 
const AlgebraicSymMatrixparameterErrors () const
 
bool parameterErrorsAvailable () const
 
const AlgebraicVectorparameters () const
 
const
TransientTrackingRecHit::ConstRecHitContainer
recHits () const
 
void setParameterErrors (const AlgebraicSymMatrix &error)
 
const AlgebraicSymMatrixtrajectoryPositionErrors () const
 
const AlgebraicVectortrajectoryPositions () const
 
const std::vector
< TrajectoryStateOnSurface > & 
trajectoryStates () const
 
const AlgebraicMatrixtrajectoryToCurv () const
 
virtual ~ReferenceTrajectoryBase ()
 

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 addMaterialEffectsCurvlinGbl (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 addMaterialEffectsLocalGbl (const std::vector< AlgebraicMatrix > &allJacobians, const std::vector< AlgebraicMatrix > &allProjections, const std::vector< AlgebraicSymMatrix > &allCurvatureChanges, const std::vector< AlgebraicSymMatrix > &allDeltaParameterCovs)
 
virtual bool construct (const TrajectoryStateOnSurface &referenceTsos, const TransientTrackingRecHit::ConstRecHitContainer &recHits, const MagneticField *magField, 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)
 
AlgebraicMatrix getHitProjectionMatrix (const TransientTrackingRecHit::ConstRecHitPointer &recHit) const
 
template<unsigned int N>
AlgebraicMatrix getHitProjectionMatrixT (const TransientTrackingRecHit::ConstRecHitPointer &recHit) const
 
virtual bool propagate (const Plane &previousSurface, const TrajectoryStateOnSurface &previousTsos, const Plane &newSurface, TrajectoryStateOnSurface &newTsos, AlgebraicMatrix &newJacobian, AlgebraicMatrix &newCurvlinJacobian, double &nextStep, const MagneticField *magField) const
 
 ReferenceTrajectory (unsigned int nPar, unsigned int nHits, const ReferenceTrajectoryBase::Config &config)
 
SurfaceSide surfaceSide (const PropagationDirection dir) const
 
- Protected Member Functions inherited from ReferenceTrajectoryBase
unsigned int numberOfUsedRecHits (const TransientTrackingRecHit::ConstRecHitContainer &recHits) const
 
 ReferenceTrajectoryBase (unsigned int nPar, unsigned int nHits, unsigned int nVirtualPar, unsigned int nVirtualMeas)
 
bool useRecHit (const TransientTrackingRecHit::ConstRecHitPointer &hitPtr) const
 

Private Member Functions

void clhep2root (const AlgebraicVector &in, TVectorD &out)
 
void clhep2root (const AlgebraicMatrix &in, TMatrixD &out)
 
void clhep2root (const AlgebraicSymMatrix &in, TMatrixDSym &out)
 

Private Attributes

const bool includeAPEs_
 
const double mass_
 
const MaterialEffects materialEffects_
 
const PropagationDirection propDir_
 
const bool useBeamSpot_
 

Additional Inherited Members

- Protected Attributes inherited from ReferenceTrajectoryBase
AlgebraicMatrix theDerivatives
 
TMatrixD theGblExtDerivatives
 
TVectorD theGblExtMeasurements
 
TVectorD theGblExtPrecisions
 
std::vector< std::pair
< std::vector< gbl::GblPoint >
, TMatrixD > > 
theGblInput
 
AlgebraicMatrix theInnerLocalToTrajectory
 
AlgebraicMatrix theInnerTrajectoryToCurvilinear
 
AlgebraicVector theMeasurements
 
AlgebraicSymMatrix theMeasurementsCov
 
int theNomField
 
unsigned int theNumberOfHits
 
unsigned int theNumberOfPars
 
unsigned int theNumberOfVirtualMeas
 
unsigned int theNumberOfVirtualPars
 
bool theParamCovFlag
 
AlgebraicSymMatrix theParameterCov
 
AlgebraicVector theParameters
 
TransientTrackingRecHit::ConstRecHitContainer theRecHits
 
AlgebraicSymMatrix theTrajectoryPositionCov
 
AlgebraicVector theTrajectoryPositions
 
std::vector
< TrajectoryStateOnSurface
theTsosVec
 
bool theValidityFlag
 
- Static Protected Attributes inherited from ReferenceTrajectoryBase
static const unsigned int nMeasPerHit = 2
 

Detailed Description

Definition at line 56 of file ReferenceTrajectory.h.

Member Typedef Documentation

Definition at line 61 of file ReferenceTrajectory.h.

Constructor & Destructor Documentation

ReferenceTrajectory::ReferenceTrajectory ( const TrajectoryStateOnSurface referenceTsos,
const TransientTrackingRecHit::ConstRecHitContainer recHits,
const MagneticField magField,
const reco::BeamSpot beamSpot,
const ReferenceTrajectoryBase::Config config 
)

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 50 of file ReferenceTrajectory.cc.

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

Referenced by clone().

54  :
56  (config.materialEffects >= brokenLinesCoarse) ? 1 : refTsos.localParameters().mixedFormatVector().kSize,
57  (config.useBeamSpot) ? recHits.size()+1 : recHits.size(),
59  2*((config.useBeamSpot) ? recHits.size()+1 : recHits.size()) :
60  ( (config.materialEffects == breakPoints) ? 2*((config.useBeamSpot) ? recHits.size()+1 : recHits.size())-2 : 0) ,
62  2*((config.useBeamSpot) ? recHits.size()+1 : recHits.size())-4 :
63  ( (config.materialEffects == breakPoints) ? 2*((config.useBeamSpot) ? recHits.size()+1 : recHits.size())-2 : 0) ),
64  mass_(config.mass),
66  propDir_(config.propDir),
67  useBeamSpot_(config.useBeamSpot),
69 {
70  // no check against magField == 0
71  theParameters = asHepVector<5>( refTsos.localParameters().mixedFormatVector() );
72 
73  if (config.hitsAreReverse) {
75  fwdRecHits.reserve(recHits.size());
76  for (TransientTrackingRecHit::ConstRecHitContainer::const_reverse_iterator it=recHits.rbegin();
77  it != recHits.rend(); ++it) {
78  fwdRecHits.push_back(*it);
79  }
80  theValidityFlag = this->construct(refTsos, fwdRecHits, magField, beamSpot);
81  } else {
82  theValidityFlag = this->construct(refTsos, recHits, magField, beamSpot);
83  }
84 }
ReferenceTrajectoryBase(unsigned int nPar, unsigned int nHits, unsigned int nVirtualPar, unsigned int nVirtualMeas)
const TransientTrackingRecHit::ConstRecHitContainer & recHits() const
virtual bool construct(const TrajectoryStateOnSurface &referenceTsos, const TransientTrackingRecHit::ConstRecHitContainer &recHits, const MagneticField *magField, const reco::BeamSpot &beamSpot)
const PropagationDirection propDir_
const MaterialEffects materialEffects_
std::vector< ConstRecHitPointer > ConstRecHitContainer
virtual ReferenceTrajectory::~ReferenceTrajectory ( )
inlinevirtual

Definition at line 76 of file ReferenceTrajectory.h.

76 {}
ReferenceTrajectory::ReferenceTrajectory ( unsigned int  nPar,
unsigned int  nHits,
const ReferenceTrajectoryBase::Config config 
)
protected

Definition at line 89 of file ReferenceTrajectory.cc.

92  (config.materialEffects >= brokenLinesCoarse) ? 1 : nPar,
93  nHits,
94  (config.materialEffects >= brokenLinesCoarse) ? 2*nHits : ( (config.materialEffects == breakPoints) ? 2*nHits-2 : 0 ),
95  (config.materialEffects >= brokenLinesCoarse) ? 2*nHits-4 : ( (config.materialEffects == breakPoints) ? 2*nHits-2 : 0 ) ),
96  mass_(config.mass),
98  propDir_(config.propDir),
99  useBeamSpot_(config.useBeamSpot),
100  includeAPEs_(config.includeAPEs)
101 {}
ReferenceTrajectoryBase(unsigned int nPar, unsigned int nHits, unsigned int nVirtualPar, unsigned int nVirtualMeas)
const PropagationDirection propDir_
const MaterialEffects materialEffects_

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 
)
protectedvirtual

internal method to add material effects using break points

Definition at line 551 of file ReferenceTrajectory.cc.

References relval_2017::k, cmsLHEtoEOSManager::l, ReferenceTrajectoryBase::nMeasPerHit, ReferenceTrajectoryBase::theDerivatives, ReferenceTrajectoryBase::theMeasurementsCov, and ReferenceTrajectoryBase::theNumberOfPars.

Referenced by construct().

556 {
557 //CHK: add material effects using break points
558  int offsetPar = theNumberOfPars;
559  int offsetMeas = nMeasPerHit * allJacobians.size();
560  int ierr = 0;
561 
562  AlgebraicMatrix tempJacobian;
563  AlgebraicMatrix MSprojection(2,5);
564  MSprojection[0][1] = 1;
565  MSprojection[1][2] = 1;
566  AlgebraicSymMatrix tempMSCov;
567  AlgebraicSymMatrix tempMSCovProj;
568  AlgebraicMatrix tempMSJacProj;
569 
570  for (unsigned int k = 1; k < allJacobians.size(); ++k) {
571 // CHK
572  int kbp = k-1;
573  tempJacobian = allJacobians[k] * allCurvatureChanges[k];
574  tempMSCov = allDeltaParameterCovs[k-1].similarity(allLocalToCurv[k-1]);
575  tempMSCovProj = tempMSCov.similarity(MSprojection);
576  theMeasurementsCov[offsetMeas+nMeasPerHit*kbp ][offsetMeas+nMeasPerHit*kbp ] = tempMSCovProj[0][0];
577  theMeasurementsCov[offsetMeas+nMeasPerHit*kbp+1][offsetMeas+nMeasPerHit*kbp+1]= tempMSCovProj[1][1];
578  theDerivatives[offsetMeas+nMeasPerHit*kbp ][offsetPar+2*kbp ] = 1.0;
579  theDerivatives[offsetMeas+nMeasPerHit*kbp+1][offsetPar+2*kbp+1] = 1.0 ;
580 
581  tempMSJacProj = (allProjections[k] * ( tempJacobian * allLocalToCurv[k-1].inverse(ierr) )) * MSprojection.T();
582  if (ierr) {
583  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBp"
584  << "Inversion 1 for break points failed: " << ierr;
585  return false;
586  }
587  theDerivatives[nMeasPerHit*k ][offsetPar+2*kbp ] = tempMSJacProj[0][0];
588  theDerivatives[nMeasPerHit*k ][offsetPar+2*kbp+1] = tempMSJacProj[0][1];
589  theDerivatives[nMeasPerHit*k+1][offsetPar+2*kbp ] = tempMSJacProj[1][0];
590  theDerivatives[nMeasPerHit*k+1][offsetPar+2*kbp+1] = tempMSJacProj[1][1];
591 
592  for (unsigned int l = k+1; l < allJacobians.size(); ++l) {
593 // CHK
594  int kbp = k-1;
595  tempJacobian = allJacobians[l] * allCurvatureChanges[l] * tempJacobian;
596  tempMSJacProj = (allProjections[l] * ( tempJacobian * allLocalToCurv[k-1].inverse(ierr) )) * MSprojection.T();
597  if (ierr) {
598  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBp"
599  << "Inversion 2 for break points failed: " << ierr;
600  return false;
601  }
602  theDerivatives[nMeasPerHit*l ][offsetPar+2*kbp ] = tempMSJacProj[0][0];
603  theDerivatives[nMeasPerHit*l ][offsetPar+2*kbp+1] = tempMSJacProj[0][1];
604  theDerivatives[nMeasPerHit*l+1][offsetPar+2*kbp ] = tempMSJacProj[1][0];
605  theDerivatives[nMeasPerHit*l+1][offsetPar+2*kbp+1] = tempMSJacProj[1][1];
606 
607  }
608 
609  }
610 
611  return true;
612 }
static const unsigned int nMeasPerHit
CLHEP::HepMatrix AlgebraicMatrix
AlgebraicSymMatrix theMeasurementsCov
CLHEP::HepSymMatrix AlgebraicSymMatrix
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 
)
protectedvirtual

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

Definition at line 616 of file ReferenceTrajectory.cc.

References relval_2017::k, cmsLHEtoEOSManager::l, GlobalTrajectoryParameters::momentum(), gen::n, ReferenceTrajectoryBase::nMeasPerHit, AlCaHLTBitMon_ParallelJobs::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().

622 {
623 //CHK: add material effects using broken lines
624 //fine: use exact Jacobians, all detectors
625 //broken lines: pair of offsets (u1,u2) = (xt,yt) (in curvilinear frame (q/p,lambda,phi,xt,yt)) at each layer
626 // scattering angles (alpha1,alpha2) = (cosLambda*dPhi, dLambda) (cosLambda cancels in Chi2)
627 // DU' = (dU'/dU)*DU + (dU'/dAlpha)*DAlpha + (dU'/dQbyp)*DQbyp (propagation of U)
628 // = J*DU + S*DAlpha + d*DQbyp
629 // => DAlpha = S^-1 (DU' - J*DU - d*DQbyp)
630 
631  int offsetPar = theNumberOfPars;
632  int offsetMeas = nMeasPerHit*allCurvlinJacobians.size();
633  int ierr = 0;
634 
635  GlobalVector p = gtp.momentum();
636  double cosLambda = sqrt((p.x()*p.x()+p.y()*p.y())/(p.x()*p.x()+p.y()*p.y()+p.z()*p.z()));
637 
638 // transformations Curvilinear <-> BrokenLines
639  AlgebraicMatrix QbypToCurv(5,1); // dCurv/dQbyp
640  QbypToCurv[0][0] = 1.; // dQbyp/dQbyp
641  AlgebraicMatrix AngleToCurv(5,2); // dCurv/dAlpha
642  AngleToCurv[1][1] = 1.; // dlambda/dalpha2
643  AngleToCurv[2][0] = 1./cosLambda; // dphi/dalpha1
644  AlgebraicMatrix CurvToAngle(2,5); // dAlpha/dCurv
645  CurvToAngle[1][1] = 1.; // dalpha2/dlambda
646  CurvToAngle[0][2] = cosLambda; // dalpha1/dphi
647  AlgebraicMatrix OffsetToCurv(5,2); // dCurv/dU
648  OffsetToCurv[3][0] = 1.; // dxt/du1
649  OffsetToCurv[4][1] = 1.; // dyt/du2
650  AlgebraicMatrix CurvToOffset(2,5); // dU/dCurv
651  CurvToOffset[0][3] = 1.; // du1/dxt
652  CurvToOffset[1][4] = 1.; // du2/dyt
653 
654 // transformations trajectory to components (Qbyp, U1, U2)
655  AlgebraicMatrix TrajToQbyp(1,5);
656  TrajToQbyp[0][0] = 1.;
657  AlgebraicMatrix TrajToOff1(2,5);
658  TrajToOff1[0][1] = 1.;
659  TrajToOff1[1][2] = 1.;
660  AlgebraicMatrix TrajToOff2(2,5);
661  TrajToOff2[0][3] = 1.;
662  TrajToOff2[1][4] = 1.;
663 
664  AlgebraicMatrix JacOffsetToAngleC, JacQbypToAngleC;
665  AlgebraicMatrix JacCurvToOffsetL, JacOffsetToOffsetL, JacAngleToOffsetL, JacQbypToOffsetL, JacOffsetToAngleL;
666  AlgebraicMatrix JacCurvToOffsetN, JacOffsetToOffsetN, JacAngleToOffsetN, JacQbypToOffsetN, JacOffsetToAngleN;
667 
668 // transformation from trajectory to curvilinear parameters
669 
670  JacCurvToOffsetN = CurvToOffset * allCurvlinJacobians[1]; // (dU'/dCurv') * (dCurv'/dCurv) @ 2nd point
671  JacOffsetToOffsetN = JacCurvToOffsetN * OffsetToCurv; // J: (dU'/dU) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dU)
672  JacAngleToOffsetN = JacCurvToOffsetN * AngleToCurv; // S: (dU'/dAlpha) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dAlpha)
673  JacQbypToOffsetN = JacCurvToOffsetN * QbypToCurv; // d: (dU'/dQbyp) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dQbyp)
674  JacOffsetToAngleN = JacAngleToOffsetN.inverse(ierr); // W
675  if (ierr) {
676  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
677  << "Inversion 1 for fine broken lines failed: " << ierr;
678  return false;
679  }
680  JacOffsetToAngleC = -(JacOffsetToAngleN * JacOffsetToOffsetN); // (dAlpha/dU)
681  JacQbypToAngleC = -(JacOffsetToAngleN * JacQbypToOffsetN); // (dAlpha/dQbyp)
682  // (dAlpha/dTraj) = (dAlpha/dQbyp) * (dQbyp/dTraj) + (dAlpha/dU1) * (dU1/dTraj) + (dAlpha/dU2) * (dU2/dTraj)
683  AlgebraicMatrix JacTrajToAngle = JacQbypToAngleC * TrajToQbyp + JacOffsetToAngleC * TrajToOff1 + JacOffsetToAngleN * TrajToOff2;
684  // (dCurv/dTraj) = (dCurv/dQbyp) * (dQbyp/dTraj) + (dCurv/dAlpha) * (dAlpha/dTraj) + (dCurv/dU) * (dU/dTraj)
685  theInnerTrajectoryToCurvilinear = QbypToCurv * TrajToQbyp + AngleToCurv * JacTrajToAngle + OffsetToCurv * TrajToOff1;
686  theInnerLocalToTrajectory = theInnerTrajectoryToCurvilinear.inverse(ierr) * allLocalToCurv[0];
687  if (ierr) {
688  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
689  << "Inversion 2 for fine broken lines failed: " << ierr;
690  return false;
691  }
692 
693  AlgebraicMatrix tempJacobian(allCurvatureChanges[0]);
694  AlgebraicSymMatrix tempMSCov;
695  AlgebraicSymMatrix tempMSCovProj;
696  AlgebraicMatrix tempJacL, tempJacN;
697  AlgebraicMatrix JacOffsetToMeas;
698 
699 // measurements from hits
700  for (unsigned int k = 0; k < allCurvlinJacobians.size(); ++k) {
701 // (dMeas/dU) = (dMeas/dLoc) * (dLoc/dCurv) * (dCurv/dU)
702  JacOffsetToMeas = (allProjections[k] * allLocalToCurv[k].inverse(ierr) ) * OffsetToCurv;
703  if (ierr) {
704  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
705  << "Inversion 3 for fine broken lines failed: " << ierr;
706  return false;
707  }
708  theDerivatives[nMeasPerHit*k ][offsetPar+2*k ] = JacOffsetToMeas[0][0];
709  theDerivatives[nMeasPerHit*k ][offsetPar+2*k+1] = JacOffsetToMeas[0][1];
710  theDerivatives[nMeasPerHit*k+1][offsetPar+2*k ] = JacOffsetToMeas[1][0];
711  theDerivatives[nMeasPerHit*k+1][offsetPar+2*k+1] = JacOffsetToMeas[1][1];
712  }
713 
714 // measurement of MS kink
715  for (unsigned int k = 1; k < allCurvlinJacobians.size()-1; ++k) {
716 // CHK
717  int iMsMeas = k-1;
718  int l = k-1; // last hit
719  int n = k+1; // next hit
720 
721 // amount of multiple scattering in layer k (angular error perp to direction)
722  tempMSCov = allDeltaParameterCovs[k].similarity(allLocalToCurv[k]);
723  tempMSCovProj = tempMSCov.similarity(CurvToAngle);
724  theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas ][offsetMeas+nMeasPerHit*iMsMeas ] = tempMSCovProj[1][1];
725  theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas+1][offsetMeas+nMeasPerHit*iMsMeas+1] = tempMSCovProj[0][0];
726 
727 // transformation matices for offsets ( l <- k -> n )
728  tempJacL = allCurvlinJacobians[k] * tempJacobian;
729  JacCurvToOffsetL = CurvToOffset * tempJacL.inverse(ierr); // (dU'/dCurv') * (dCurv'/dCurv) @ last point
730 
731  if (ierr) {
732  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
733  << "Inversion 4 for fine broken lines failed: " << ierr;
734  return false;
735  }
736  JacOffsetToOffsetL = JacCurvToOffsetL * OffsetToCurv; // J-: (dU'/dU) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dU)
737  JacAngleToOffsetL = JacCurvToOffsetL * AngleToCurv; // S-: (dU'/dAlpha) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dAlpha)
738  JacQbypToOffsetL = JacCurvToOffsetL * QbypToCurv; // d-: (dU'/dQbyp) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dQbyp)
739  JacOffsetToAngleL =-JacAngleToOffsetL.inverse(ierr); // W-
740  if (ierr) {
741  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
742  << "Inversion 5 for fine broken lines failed: " << ierr;
743  return false;
744  }
745  tempJacobian = tempJacobian * allCurvatureChanges[k];
746  tempJacN = allCurvlinJacobians[n] * tempJacobian;
747  JacCurvToOffsetN = CurvToOffset * tempJacN; // (dU'/dCurv') * (dCurv'/dCurv) @ next point
748  JacOffsetToOffsetN = JacCurvToOffsetN * OffsetToCurv; // J+: (dU'/dU) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dU)
749  JacAngleToOffsetN = JacCurvToOffsetN * AngleToCurv; // S+: (dU'/dAlpha) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dAlpha)
750  JacQbypToOffsetN = JacCurvToOffsetN * QbypToCurv; // d+: (dU'/dQbyp) = (dU'/dCurv') * (dCurv'/dCurv) * (dCurv/dQbyp)
751  JacOffsetToAngleN = JacAngleToOffsetN.inverse(ierr); // W+
752  if (ierr) {
753  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
754  << "Inversion 6 for fine broken lines failed: " << ierr;
755  return false;
756  }
757  JacOffsetToAngleC = -(JacOffsetToAngleL * JacOffsetToOffsetL + JacOffsetToAngleN * JacOffsetToOffsetN);
758  JacQbypToAngleC = -(JacOffsetToAngleL * JacQbypToOffsetL + JacOffsetToAngleN * JacQbypToOffsetN);
759 
760  // bending
761  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][ 0] = JacQbypToAngleC[0][0];
762  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][ 0] = JacQbypToAngleC[1][0];
763  // last layer
764  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*l ] = JacOffsetToAngleL[0][0];
765  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*l+1] = JacOffsetToAngleL[0][1];
766  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*l ] = JacOffsetToAngleL[1][0];
767  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*l+1] = JacOffsetToAngleL[1][1];
768  // current layer
769  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*k ] = JacOffsetToAngleC[0][0];
770  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*k+1] = JacOffsetToAngleC[0][1];
771  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*k ] = JacOffsetToAngleC[1][0];
772  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*k+1] = JacOffsetToAngleC[1][1];
773 
774  // next layer
775  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*n ] = JacOffsetToAngleN[0][0];
776  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*n+1] = JacOffsetToAngleN[0][1];
777  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*n ] = JacOffsetToAngleN[1][0];
778  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*n+1] = JacOffsetToAngleN[1][1];
779 
780  }
781 
782  return true;
783 }
AlgebraicMatrix theInnerTrajectoryToCurvilinear
AlgebraicMatrix theInnerLocalToTrajectory
static const unsigned int nMeasPerHit
T y() const
Definition: PV3DBase.h:63
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:18
T z() const
Definition: PV3DBase.h:64
AlgebraicSymMatrix theMeasurementsCov
CLHEP::HepSymMatrix AlgebraicSymMatrix
T x() const
Definition: PV3DBase.h:62
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 
)
protectedvirtual

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

Definition at line 787 of file ReferenceTrajectory.cc.

References delta, plotBeamSpotDB::first, i, relval_2017::k, cmsLHEtoEOSManager::l, plotBeamSpotDB::last, mag(), GlobalTrajectoryParameters::magneticFieldInInverseGeV(), GlobalTrajectoryParameters::momentum(), gen::n, ReferenceTrajectoryBase::nMeasPerHit, AlCaHLTBitMon_ParallelJobs::p, GlobalTrajectoryParameters::position(), mathSSE::sqrt(), ReferenceTrajectoryBase::theDerivatives, ReferenceTrajectoryBase::theInnerLocalToTrajectory, ReferenceTrajectoryBase::theInnerTrajectoryToCurvilinear, ReferenceTrajectoryBase::theMeasurementsCov, ReferenceTrajectoryBase::theNumberOfPars, ReferenceTrajectoryBase::theNumberOfVirtualMeas, ReferenceTrajectoryBase::theNumberOfVirtualPars, PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

793 {
794 //CHK: add material effects using broken lines
795 //BrokenLinesCoarse: combine close by detectors,
796 // use approximate Jacobians from Steps (limit Qbyp -> 0),
797 // bending only in RPhi (B=(0,0,Bz)), no energy loss correction
798 
799  int offsetPar = theNumberOfPars;
800  int offsetMeas = nMeasPerHit*allSteps.size();
801  int ierr = 0;
802 
803  GlobalVector p = gtp.momentum();
804  double cosLambda = sqrt((p.x()*p.x()+p.y()*p.y())/(p.x()*p.x()+p.y()*p.y()+p.z()*p.z()));
805  double bFac = -gtp.magneticFieldInInverseGeV(gtp.position()).mag();
806 
807  // transformation from trajectory to curvilinear parameters at refTsos
808  double delta (1.0/allSteps[1]);
812  theInnerTrajectoryToCurvilinear[2][0] = -0.5*bFac/delta;
813  theInnerTrajectoryToCurvilinear[2][1] = -delta/cosLambda;
814  theInnerTrajectoryToCurvilinear[2][3] = delta/cosLambda;
817  theInnerLocalToTrajectory = theInnerTrajectoryToCurvilinear.inverse(ierr) * allLocalToCurv[0];
818  if (ierr) {
819  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
820  << "Inversion 1 for coarse broken lines failed: " << ierr;
821  return false;
822  }
823 
824  AlgebraicMatrix CurvToAngle(2,5); // dAlpha/dCurv
825  CurvToAngle[1][1] = 1.; // dalpha2/dlambda
826  CurvToAngle[0][2] = cosLambda; // dalpha1/dphi
827  AlgebraicMatrix OffsetToCurv(5,2); // dCurv/dU
828  OffsetToCurv[3][0] = 1.; // dxt/du1
829  OffsetToCurv[4][1] = 1.; // dyt/du2
830 
831  AlgebraicSymMatrix tempMSCov;
832  AlgebraicSymMatrix tempMSCovProj;
833  AlgebraicMatrix JacOffsetToMeas;
834 
835  // combine closeby detectors into single plane
836  std::vector<unsigned int> first(allSteps.size());
837  std::vector<unsigned int> last (allSteps.size());
838  std::vector<unsigned int> plane(allSteps.size());
839  std::vector<double> sPlane(allSteps.size());
840  unsigned int nPlane = 0;
841  double sTot = 0;
842 
843  for (unsigned int k = 1; k < allSteps.size(); ++k) {
844  sTot += allSteps[k];
845  if (fabs(allSteps[k])>minStep) { nPlane += 1; first[nPlane] = k; }
846  last[nPlane] = k;
847  plane[k] = nPlane;
848  sPlane[nPlane] += sTot;
849  }
850  if (nPlane < 2) return false; // pathological cases: need at least 2 planes
851 
852  theNumberOfVirtualPars = 2*(nPlane+1);
853  theNumberOfVirtualMeas = 2*(nPlane-1);// unsigned underflow for nPlane == 0...
854  for (unsigned int k = 0; k <= nPlane; ++k) { sPlane[k] /= (double) (last[k]-first[k]+1); }
855 
856  // measurements from hits
857  sTot = 0;
858  for (unsigned int k = 0; k < allSteps.size(); ++k) {
859  sTot += allSteps[k];
860 // (dMeas/dU) = (dMeas/dLoc) * (dLoc/dCurv) * (dCurv/dU)
861  JacOffsetToMeas = (allProjections[k] * allLocalToCurv[k].inverse(ierr) ) * OffsetToCurv;
862  if (ierr) {
863  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsBrl"
864  << "Inversion 2 for coarse broken lines failed: " << ierr;
865  return false;
866  }
867 
868  unsigned int iPlane = plane[k];
869  if (last[iPlane] == first[iPlane])
870  { // single plane
871  theDerivatives[nMeasPerHit*k ][offsetPar+2*iPlane ] = JacOffsetToMeas[0][0];
872  theDerivatives[nMeasPerHit*k ][offsetPar+2*iPlane+1] = JacOffsetToMeas[0][1];
873  theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane ] = JacOffsetToMeas[1][0];
874  theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane+1] = JacOffsetToMeas[1][1];
875  } else
876  { // combined plane: (linear) interpolation
877  unsigned int jPlane; // neighbor plane for interpolation
878  if (fabs(sTot) < fabs(sPlane[iPlane])) { jPlane = (iPlane>0) ? iPlane - 1 : 1; }
879  else { jPlane = (iPlane<nPlane) ? iPlane + 1 : nPlane -1 ;}
880  // interpolation weights
881  double sDiff = sPlane[iPlane] - sPlane[jPlane];
882  double iFrac = (sTot - sPlane[jPlane]) / sDiff;
883  double jFrac = 1.0 - iFrac;
884  theDerivatives[nMeasPerHit*k ][offsetPar+2*iPlane ] = JacOffsetToMeas[0][0]*iFrac;
885  theDerivatives[nMeasPerHit*k ][offsetPar+2*iPlane+1] = JacOffsetToMeas[0][1]*iFrac;
886  theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane ] = JacOffsetToMeas[1][0]*iFrac;
887  theDerivatives[nMeasPerHit*k+1][offsetPar+2*iPlane+1] = JacOffsetToMeas[1][1]*iFrac;
888  theDerivatives[nMeasPerHit*k ][offsetPar+2*jPlane ] = JacOffsetToMeas[0][0]*jFrac;
889  theDerivatives[nMeasPerHit*k ][offsetPar+2*jPlane+1] = JacOffsetToMeas[0][1]*jFrac;
890  theDerivatives[nMeasPerHit*k+1][offsetPar+2*jPlane ] = JacOffsetToMeas[1][0]*jFrac;
891  theDerivatives[nMeasPerHit*k+1][offsetPar+2*jPlane+1] = JacOffsetToMeas[1][1]*jFrac;
892  // 2nd order neglected
893  // theDerivatives[nMeasPerHit*k ][ 0] = -0.5*bFac*sDiff*iFrac*sDiff*jFrac*cosLambda;
894  }
895  }
896 
897 // measurement of MS kink
898  for (unsigned int i = 1; i < nPlane; ++i) {
899 // CHK
900  int iMsMeas = i-1;
901  int l = i-1; // last hit
902  int n = i+1; // next hit
903 
904 // amount of multiple scattering in plane k
905  for (unsigned int k = first[i]; k <= last[i]; ++k) {
906  tempMSCov = allDeltaParameterCovs[k].similarity(allLocalToCurv[k]);
907  tempMSCovProj = tempMSCov.similarity(CurvToAngle);
908  theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas ][offsetMeas+nMeasPerHit*iMsMeas ] += tempMSCovProj[0][0];
909  theMeasurementsCov[offsetMeas+nMeasPerHit*iMsMeas+1][offsetMeas+nMeasPerHit*iMsMeas+1] += tempMSCovProj[1][1];
910  }
911 // broken line measurements for layer k, correlations between both planes neglected
912  double stepK = sPlane[i] - sPlane[l];
913  double stepN = sPlane[n] - sPlane[i];
914  double deltaK (1.0/stepK);
915  double deltaN (1.0/stepN);
916  // bending (only in RPhi)
917  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][ 0] = -0.5*bFac*(stepK+stepN)*cosLambda;
918  // last layer
919  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*l ] = deltaK;
920  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*l+1] = deltaK;
921  // current layer
922  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*i ] = -(deltaK + deltaN);
923  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*i+1] = -(deltaK + deltaN);
924  // next layer
925  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas ][offsetPar+2*n ] = deltaN;
926  theDerivatives[offsetMeas+nMeasPerHit*iMsMeas+1][offsetPar+2*n+1] = deltaN;
927  }
928 
929  return true;
930 }
dbl * delta
Definition: mlp_gen.cc:36
AlgebraicMatrix theInnerTrajectoryToCurvilinear
int i
Definition: DBlmapReader.cc:9
AlgebraicMatrix theInnerLocalToTrajectory
static const unsigned int nMeasPerHit
T mag() const
The vector magnitude. Equivalent to sqrt(vec.mag2())
T y() const
Definition: PV3DBase.h:63
GlobalVector magneticFieldInInverseGeV(const GlobalPoint &x) const
CLHEP::HepMatrix AlgebraicMatrix
T sqrt(T t)
Definition: SSEVec.h:18
T z() const
Definition: PV3DBase.h:64
AlgebraicSymMatrix theMeasurementsCov
CLHEP::HepSymMatrix AlgebraicSymMatrix
T x() const
Definition: PV3DBase.h:62
bool ReferenceTrajectory::addMaterialEffectsCov ( const std::vector< AlgebraicMatrix > &  allJacobians,
const std::vector< AlgebraicMatrix > &  allProjections,
const std::vector< AlgebraicSymMatrix > &  allCurvChanges,
const std::vector< AlgebraicSymMatrix > &  allDeltaParaCovs 
)
protectedvirtual

internal method to add material effects to measurments covariance matrix

Definition at line 483 of file ReferenceTrajectory.cc.

References relval_2017::k, cmsLHEtoEOSManager::l, ReferenceTrajectoryBase::nMeasPerHit, and ReferenceTrajectoryBase::theMeasurementsCov.

Referenced by construct().

487 {
488  // the uncertainty due to multiple scattering is 'transferred' to the error matrix of the hits
489 
490  // GF: Needs update once hit dimension is not hardcoded as nMeasPerHit!
491 
492  AlgebraicSymMatrix materialEffectsCov(nMeasPerHit * allJacobians.size(), 0);
493 
494  // additional covariance-matrix of the measurements due to material-effects (single measurement)
495  AlgebraicSymMatrix deltaMaterialEffectsCov;
496 
497  // additional covariance-matrix of the parameters due to material-effects
498  AlgebraicSymMatrix paramMaterialEffectsCov(allDeltaParameterCovs[0]); //initialization
499  // error-propagation to state after energy loss
500  //GFback paramMaterialEffectsCov = paramMaterialEffectsCov.similarity(allCurvatureChanges[0]);
501 
502  AlgebraicMatrix tempParameterCov;
503  AlgebraicMatrix tempMeasurementCov;
504 
505  for (unsigned int k = 1; k < allJacobians.size(); ++k) {
506  // error-propagation to next layer
507  paramMaterialEffectsCov = paramMaterialEffectsCov.similarity(allJacobians[k]);
508 
509  // get dependences for the measurements
510  deltaMaterialEffectsCov = paramMaterialEffectsCov.similarity(allProjections[k]);
511  materialEffectsCov[nMeasPerHit*k ][nMeasPerHit*k ] = deltaMaterialEffectsCov[0][0];
512  materialEffectsCov[nMeasPerHit*k ][nMeasPerHit*k+1] = deltaMaterialEffectsCov[0][1];
513  materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*k ] = deltaMaterialEffectsCov[1][0];
514  materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*k+1] = deltaMaterialEffectsCov[1][1];
515 
516  // GFback add uncertainties for the following layers due to scattering at this layer
517  paramMaterialEffectsCov += allDeltaParameterCovs[k];
518  // end GFback
519  tempParameterCov = paramMaterialEffectsCov;
520 
521  // compute "inter-layer-dependencies"
522  for (unsigned int l = k+1; l < allJacobians.size(); ++l) {
523  tempParameterCov = allJacobians[l] * allCurvatureChanges[l] * tempParameterCov;
524  tempMeasurementCov = allProjections[l] * tempParameterCov * allProjections[k].T();
525 
526  materialEffectsCov[nMeasPerHit*l][nMeasPerHit*k] = tempMeasurementCov[0][0];
527  materialEffectsCov[nMeasPerHit*k][nMeasPerHit*l] = tempMeasurementCov[0][0];
528 
529  materialEffectsCov[nMeasPerHit*l][nMeasPerHit*k+1] = tempMeasurementCov[0][1];
530  materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*l] = tempMeasurementCov[0][1];
531 
532  materialEffectsCov[nMeasPerHit*l+1][nMeasPerHit*k] = tempMeasurementCov[1][0];
533  materialEffectsCov[nMeasPerHit*k][nMeasPerHit*l+1] = tempMeasurementCov[1][0];
534 
535  materialEffectsCov[nMeasPerHit*l+1][nMeasPerHit*k+1] = tempMeasurementCov[1][1];
536  materialEffectsCov[nMeasPerHit*k+1][nMeasPerHit*l+1] = tempMeasurementCov[1][1];
537  }
538  // add uncertainties for the following layers due to scattering at this layer
539  // GFback paramMaterialEffectsCov += allDeltaParameterCovs[k];
540  // error-propagation to state after energy loss
541  paramMaterialEffectsCov = paramMaterialEffectsCov.similarity(allCurvatureChanges[k]);
542 
543  }
544  theMeasurementsCov += materialEffectsCov;
545 
546  return true; // cannot fail
547 }
static const unsigned int nMeasPerHit
CLHEP::HepMatrix AlgebraicMatrix
AlgebraicSymMatrix theMeasurementsCov
CLHEP::HepSymMatrix AlgebraicSymMatrix
bool ReferenceTrajectory::addMaterialEffectsCurvlinGbl ( 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 
)
protectedvirtual

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

Definition at line 1012 of file ReferenceTrajectory.cc.

References gbl::GblPoint::addMeasurement(), gbl::GblPoint::addScatterer(), clhep2root(), relval_2017::k, ReferenceTrajectoryBase::theGblInput, ReferenceTrajectoryBase::theMeasurements, ReferenceTrajectoryBase::theMeasurementsCov, and ReferenceTrajectoryBase::theTrajectoryPositions.

Referenced by construct().

1017 {
1018 //CHK: add material effects using general broken lines
1019 // local track parameters are defined in the curvilinear system
1020 
1021  const double minPrec = 1.0; // minimum precision to use measurement (reject measurements in strip direction)
1022  int ierr = 0;
1023 
1024  AlgebraicMatrix OffsetToCurv(5,2); // dCurv/dU
1025  OffsetToCurv[3][0] = 1.; // dxt/du1
1026  OffsetToCurv[4][1] = 1.; // dyt/du2
1027 
1028  AlgebraicMatrix JacOffsetToMeas, tempMSCov;
1029 
1030  // GBL uses ROOT matrices as interface
1031  TMatrixDSym covariance(2), measPrecision(2);
1032  TMatrixD jacPointToPoint(5,5), firstLocalToCurv(5,5), proLocalToMeas(2,2);
1033  TVectorD measurement(2), scatterer(2), measPrecDiag(2), scatPrecDiag(2);
1034  scatterer.Zero();
1035 
1036 // measurements and scatterers from hits
1037  unsigned int numHits = allCurvlinJacobians.size();
1038  std::vector<GblPoint> GblPointList;
1039  GblPointList.reserve(numHits);
1040  for (unsigned int k = 0; k < numHits; ++k) {
1041 // (dMeas/dU) = (dMeas/dLoc) * (dLoc/dCurv) * (dCurv/dU)
1042  JacOffsetToMeas = (allProjections[k] * allLocalToCurv[k].inverse(ierr) ) * OffsetToCurv;
1043  if (ierr) {
1044  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::addMaterialEffectsGbl"
1045  << "Inversion 1 for general broken lines failed: " << ierr;
1046  return false;
1047  }
1048 
1049  // GBL point to point jacobian
1050  clhep2root(allCurvlinJacobians[k] * allCurvatureChanges[k], jacPointToPoint);
1051 
1052  // GBL point
1053  GblPoint aGblPoint( jacPointToPoint );
1054 
1055  // GBL projection from local to measurement system
1056  clhep2root(JacOffsetToMeas, proLocalToMeas);
1057 
1058  // GBL measurement (residuum to initial trajectory)
1059  clhep2root(theMeasurements.sub(2*k+1,2*k+2) - theTrajectoryPositions.sub(2*k+1,2*k+2), measurement);
1060 
1061  // GBL measurement covariance matrix
1062  clhep2root(theMeasurementsCov.sub(2*k+1,2*k+2), covariance);
1063 
1064  // GBL add measurement to point
1065  if (covariance(0,1) == 0.) {
1066  // covariance matrix is diagonal, independent measurements
1067  for (unsigned int row = 0; row < 2; ++row) {
1068  measPrecDiag(row) = ( 0. < covariance(row,row) ? 1.0/covariance(row,row) : 0. );
1069  }
1070  aGblPoint.addMeasurement(proLocalToMeas, measurement, measPrecDiag, minPrec);
1071  } else
1072  {
1073  // covariance matrix needs diagonalization
1074  measPrecision = covariance; measPrecision.InvertFast();
1075  aGblPoint.addMeasurement(proLocalToMeas, measurement, measPrecision, minPrec);
1076  }
1077 
1078  // GBL multiple scattering (diagonal matrix in curvilinear system)
1079  tempMSCov = allDeltaParameterCovs[k].similarity(allLocalToCurv[k]);
1080  for (unsigned int row = 0; row < 2; ++row) {
1081  scatPrecDiag(row) = 1.0/tempMSCov[row+1][row+1];
1082  }
1083 
1084  // GBL add scatterer to point
1085  aGblPoint.addScatterer(scatterer, scatPrecDiag);
1086 
1087  // add point to list
1088  GblPointList.push_back( aGblPoint );
1089  }
1090  // add list of points and transformation local to fit (=curvilinear) system at first hit
1091  clhep2root(allLocalToCurv[0], firstLocalToCurv);
1092  theGblInput.push_back(std::make_pair(GblPointList, firstLocalToCurv));
1093 
1094  return true;
1095 }
CLHEP::HepMatrix AlgebraicMatrix
std::vector< std::pair< std::vector< gbl::GblPoint >, TMatrixD > > theGblInput
AlgebraicSymMatrix theMeasurementsCov
void clhep2root(const AlgebraicVector &in, TVectorD &out)
Point on trajectory.
Definition: GblPoint.h:46
bool ReferenceTrajectory::addMaterialEffectsLocalGbl ( const std::vector< AlgebraicMatrix > &  allJacobians,
const std::vector< AlgebraicMatrix > &  allProjections,
const std::vector< AlgebraicSymMatrix > &  allCurvatureChanges,
const std::vector< AlgebraicSymMatrix > &  allDeltaParameterCovs 
)
protectedvirtual

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

Definition at line 934 of file ReferenceTrajectory.cc.

References gbl::GblPoint::addMeasurement(), gbl::GblPoint::addScatterer(), clhep2root(), relval_2017::k, ReferenceTrajectoryBase::theGblInput, ReferenceTrajectoryBase::theMeasurements, ReferenceTrajectoryBase::theMeasurementsCov, and ReferenceTrajectoryBase::theTrajectoryPositions.

Referenced by construct().

938 {
939 //CHK: add material effects using general broken lines, no initial kinks
940 // local track parameters are defined in the TSO system
941 
942  const double minPrec = 1.0; // minimum precision to use measurement (reject measurements in strip direction)
943 
944  AlgebraicMatrix OffsetToLocal(5,2); // dLocal/dU
945  OffsetToLocal[3][0] = 1.;
946  OffsetToLocal[4][1] = 1.;
947  AlgebraicMatrix SlopeToLocal(5,2); // dLocal/dU'
948  SlopeToLocal[1][0] = 1.;
949  SlopeToLocal[2][1] = 1.;
950 
951  // GBL uses ROOT matrices as interface
952  TMatrixDSym covariance(2), measPrecision(2), scatPrecision(2);
953  TMatrixD jacPointToPoint(5,5), identity(5,5), proLocalToMeas(2,2);
954  identity.UnitMatrix();
955  TVectorD measurement(2), scatterer(2), measPrecDiag(2);
956  scatterer.Zero();
957  //bool initialKinks = (allCurvlinKinks.size()>0);
958 
959 // measurements and scatterers from hits
960  unsigned int numHits = allJacobians.size();
961  std::vector<GblPoint> GblPointList;
962  GblPointList.reserve(numHits);
963  for (unsigned int k = 0; k < numHits; ++k) {
964 
965  // GBL point to point jacobian
966  clhep2root(allJacobians[k] * allCurvatureChanges[k], jacPointToPoint);
967 
968  // GBL point
969  GblPoint aGblPoint( jacPointToPoint );
970 
971  // GBL projection from local to measurement system
972  clhep2root(allProjections[k] * OffsetToLocal, proLocalToMeas);
973 
974  // GBL measurement (residuum to initial trajectory)
975  clhep2root(theMeasurements.sub(2*k+1,2*k+2) - theTrajectoryPositions.sub(2*k+1,2*k+2), measurement);
976 
977  // GBL measurement covariance matrix
978  clhep2root(theMeasurementsCov.sub(2*k+1,2*k+2), covariance);
979 
980  // GBL add measurement to point
981  if (covariance(0,1) == 0.) {
982  // covariance matrix is diagonal, independent measurements
983  for (unsigned int row = 0; row < 2; ++row) {
984  measPrecDiag(row) = ( 0. < covariance(row,row) ? 1.0/covariance(row,row) : 0. );
985  }
986  aGblPoint.addMeasurement(proLocalToMeas, measurement, measPrecDiag, minPrec);
987  } else
988  {
989  // covariance matrix needs diagonalization
990  measPrecision = covariance; measPrecision.InvertFast();
991  aGblPoint.addMeasurement(proLocalToMeas, measurement, measPrecision, minPrec);
992  }
993 
994  // GBL multiple scattering (full matrix in local system)
995  clhep2root(allDeltaParameterCovs[k].similarityT(SlopeToLocal), scatPrecision);
996  scatPrecision.InvertFast();
997 
998  // GBL add scatterer to point
999  aGblPoint.addScatterer(scatterer, scatPrecision);
1000 
1001  // add point to list
1002  GblPointList.push_back( aGblPoint );
1003  }
1004  // add list of points and transformation local to fit (=local) system at first hit
1005  theGblInput.push_back(std::make_pair(GblPointList, identity));
1006 
1007  return true;
1008 }
CLHEP::HepMatrix AlgebraicMatrix
std::vector< std::pair< std::vector< gbl::GblPoint >, TMatrixD > > theGblInput
AlgebraicSymMatrix theMeasurementsCov
void clhep2root(const AlgebraicVector &in, TVectorD &out)
Point on trajectory.
Definition: GblPoint.h:46
void ReferenceTrajectory::clhep2root ( const AlgebraicVector in,
TVectorD &  out 
)
private

Definition at line 1099 of file ReferenceTrajectory.cc.

Referenced by addMaterialEffectsCurvlinGbl(), and addMaterialEffectsLocalGbl().

1099  {
1100  // convert from CLHEP to ROOT matrix
1101  for (int row = 0; row < in.num_row(); ++row) {
1102  out[row] = in[row];
1103  }
1104 }
void ReferenceTrajectory::clhep2root ( const AlgebraicMatrix in,
TMatrixD &  out 
)
private

Definition at line 1106 of file ReferenceTrajectory.cc.

References cuy::col.

1106  {
1107  // convert from CLHEP to ROOT matrix
1108  for (int row = 0; row < in.num_row(); ++row) {
1109  for (int col = 0; col < in.num_col(); ++col) {
1110  out[row][col] = in[row][col];
1111  }
1112  }
1113 }
int col
Definition: cuy.py:1008
void ReferenceTrajectory::clhep2root ( const AlgebraicSymMatrix in,
TMatrixDSym &  out 
)
private

Definition at line 1115 of file ReferenceTrajectory.cc.

References cuy::col.

1115  {
1116  // convert from CLHEP to ROOT matrix
1117  for (int row = 0; row < in.num_row(); ++row) {
1118  for (int col = 0; col < in.num_col(); ++col) {
1119  out[row][col] = in[row][col];
1120  }
1121  }
1122 }
int col
Definition: cuy.py:1008
virtual ReferenceTrajectory* ReferenceTrajectory::clone ( void  ) const
inlinevirtual

Implements ReferenceTrajectoryBase.

Reimplemented in BzeroReferenceTrajectory.

Definition at line 78 of file ReferenceTrajectory.h.

References ReferenceTrajectory().

78 { return new ReferenceTrajectory(*this); }
ReferenceTrajectory(const TrajectoryStateOnSurface &referenceTsos, const TransientTrackingRecHit::ConstRecHitContainer &recHits, const MagneticField *magField, const reco::BeamSpot &beamSpot, const ReferenceTrajectoryBase::Config &config)
bool ReferenceTrajectory::construct ( const TrajectoryStateOnSurface referenceTsos,
const TransientTrackingRecHit::ConstRecHitContainer recHits,
const MagneticField magField,
const reco::BeamSpot beamSpot 
)
protectedvirtual

internal method to calculate members

Definition at line 106 of file ReferenceTrajectory.cc.

References addMaterialEffectsBp(), addMaterialEffectsBrl(), addMaterialEffectsCov(), addMaterialEffectsCurvlinGbl(), addMaterialEffectsLocalGbl(), alongMomentum, AnalyticalPropagator_cfi::AnalyticalPropagator, ReferenceTrajectoryBase::breakPoints, ReferenceTrajectoryBase::brokenLinesCoarse, ReferenceTrajectoryBase::brokenLinesFine, Plane::build(), ReferenceTrajectoryBase::combined, createUpdator(), Vector3DBase< T, FrameTag >::cross(), ReferenceTrajectoryBase::curvlinGBL, reco::BeamSpot::dxdz(), reco::BeamSpot::dydz(), ReferenceTrajectoryBase::energyLoss, fillDerivatives(), fillMeasurementAndError(), fillTrajectoryPositions(), TrajectoryStateOnSurface::freeState(), getHitProjectionMatrix(), TrajectoryStateOnSurface::globalParameters(), TrajectoryStateOnSurface::hasError(), TrajectoryStateOnSurface::localError(), ReferenceTrajectoryBase::localGBL, TrajectoryStateOnSurface::localParameters(), mass_, materialEffects_, LocalTrajectoryError::matrix(), FreeTrajectoryState::momentum(), ReferenceTrajectoryBase::multipleScattering, ReferenceTrajectoryBase::nMeasPerHit, MagneticField::nominalValue(), ReferenceTrajectoryBase::none, PV3DBase< T, PVType, FrameType >::phi(), propagate(), HLT_25ns10e33_v2_cff::propagator, propDir_, idealTransformation::rotation, LocalTrajectoryParameters::signedInverseMomentum(), GeomDet::surface(), TrajectoryStateOnSurface::surface(), surfaceSide(), ReferenceTrajectoryBase::theDerivatives, ReferenceTrajectoryBase::theInnerLocalToTrajectory, ReferenceTrajectoryBase::theInnerTrajectoryToCurvilinear, ReferenceTrajectoryBase::theNomField, ReferenceTrajectoryBase::theNumberOfHits, ReferenceTrajectoryBase::theNumberOfVirtualPars, ReferenceTrajectoryBase::theParameters, ReferenceTrajectoryBase::theRecHits, ReferenceTrajectoryBase::theTrajectoryPositionCov, ReferenceTrajectoryBase::theTsosVec, TSCBLBuilderNoMaterial_cfi::TSCBLBuilderNoMaterial, useBeamSpot_, ReferenceTrajectoryBase::useRecHit(), reco::BeamSpot::x0(), reco::BeamSpot::y0(), and reco::BeamSpot::z0().

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

110 {
111  TrajectoryStateOnSurface theRefTsos = refTsos;
112 
114  // auto_ptr to avoid memory leaks in case of not reaching delete at end of method:
115  std::auto_ptr<MaterialEffectsUpdator> aMaterialEffectsUpdator
117  if (!aMaterialEffectsUpdator.get()) return false; // empty auto_ptr
118 
119  AlgebraicMatrix fullJacobian(theParameters.num_row(), theParameters.num_row());
120  std::vector<AlgebraicMatrix> allJacobians;
121  allJacobians.reserve(theNumberOfHits);
122 
124  TrajectoryStateOnSurface previousTsos;
125  AlgebraicSymMatrix previousChangeInCurvature(theParameters.num_row(), 1);
126  std::vector<AlgebraicSymMatrix> allCurvatureChanges;
127  allCurvatureChanges.reserve(theNumberOfHits);
128 
129  const LocalTrajectoryError zeroErrors(0., 0., 0., 0., 0.);
130 
131  std::vector<AlgebraicMatrix> allProjections;
132  allProjections.reserve(theNumberOfHits);
133  std::vector<AlgebraicSymMatrix> allDeltaParameterCovs;
134  allDeltaParameterCovs.reserve(theNumberOfHits);
135 
136  // CHK
137  std::vector<AlgebraicMatrix> allLocalToCurv;
138  allLocalToCurv.reserve(theNumberOfHits);
139  std::vector<double> allSteps;
140  allSteps.reserve(theNumberOfHits);
141  std::vector<AlgebraicMatrix> allCurvlinJacobians;
142  allCurvlinJacobians.reserve(theNumberOfHits);
143 
144  AlgebraicMatrix firstCurvlinJacobian(5, 5, 1);
145 
146  unsigned int iRow = 0;
147 
148  theNomField = magField->nominalValue(); // nominal magnetic field in kGauss
149  // local storage vector of all rechits (including rechit for beam spot in case it is used)
151 
153 
154  GlobalPoint bs(beamSpot.x0(), beamSpot.y0(), beamSpot.z0());
155 
156  TrajectoryStateClosestToBeamLine tsctbl(TSCBLBuilderNoMaterial()(*(refTsos.freeState()), beamSpot));
157  if (!tsctbl.isValid()) {
158  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::construct"
159  << "TrajectoryStateClostestToBeamLine invalid. Skip track.";
160  return false;
161  }
162 
163  FreeTrajectoryState pcaFts = tsctbl.trackStateAtPCA();
164  GlobalVector bd(beamSpot.dxdz(), beamSpot.dydz(), 1.0);
165 
166  //propagation FIXME: Should use same propagator everywhere...
168  std::pair< TrajectoryStateOnSurface, double > tsosWithPath =
169  propagator.propagateWithPath(pcaFts, refTsos.surface());
170 
171  if (!tsosWithPath.first.isValid()) return false;
172 
173  GlobalVector momDir(pcaFts.momentum());
174  GlobalVector perpDir(bd.cross(momDir));
175  Plane::RotationType rotation(perpDir, bd);
176 
178 
179  // There is also a constructor taking the magentic field. Use this one instead?
180  theRefTsos = TrajectoryStateOnSurface(pcaFts, bsGeom->surface());
181 
183  bsGeom,
184  theRefTsos.freeState()->momentum().phi()));
185  allRecHits.push_back(bsRecHit);
186 
187  }
188 
189  // copy all rechits to the local storage vector
190  TransientTrackingRecHit::ConstRecHitContainer::const_iterator itRecHit;
191  for ( itRecHit = recHits.begin(); itRecHit != recHits.end(); ++itRecHit ) {
192  const TransientTrackingRecHit::ConstRecHitPointer &hitPtr = *itRecHit;
193  allRecHits.push_back(hitPtr);
194  }
195 
196  for ( itRecHit = allRecHits.begin(); itRecHit != allRecHits.end(); ++itRecHit ) {
197 
198  const TransientTrackingRecHit::ConstRecHitPointer &hitPtr = *itRecHit;
199  theRecHits.push_back(hitPtr);
200 
201  if (0 == iRow) {
202 
203  // compute the derivatives of the reference-track's parameters w.r.t. the initial ones
204  // derivative of the initial reference-track parameters w.r.t. themselves is of course the identity
205  fullJacobian = AlgebraicMatrix(theParameters.num_row(), theParameters.num_row(), 1);
206  allJacobians.push_back(fullJacobian);
207  theTsosVec.push_back(theRefTsos);
208  const JacobianLocalToCurvilinear startTrafo(hitPtr->det()->surface(), theRefTsos.localParameters(), *magField);
209  const AlgebraicMatrix localToCurvilinear = asHepMatrix<5>(startTrafo.jacobian());
210  if (materialEffects_ <= breakPoints) {
211  theInnerTrajectoryToCurvilinear = asHepMatrix<5>(startTrafo.jacobian());
213  }
214  allLocalToCurv.push_back(localToCurvilinear);
215  allSteps.push_back(0.);
216  allCurvlinJacobians.push_back(firstCurvlinJacobian);
217 
218  } else {
219 
220  AlgebraicMatrix nextJacobian;
221  AlgebraicMatrix nextCurvlinJacobian;
222  double nextStep = 0.;
223  TrajectoryStateOnSurface nextTsos;
224 
225  if (!this->propagate(previousHitPtr->det()->surface(), previousTsos,
226  hitPtr->det()->surface(), nextTsos,
227  nextJacobian, nextCurvlinJacobian, nextStep, magField)) {
228  return false; // stop if problem...// no delete aMaterialEffectsUpdator needed
229  }
230 
231  allJacobians.push_back(nextJacobian);
232  fullJacobian = nextJacobian * previousChangeInCurvature * fullJacobian;
233  theTsosVec.push_back(nextTsos);
234 
235  const JacobianLocalToCurvilinear startTrafo(hitPtr->det()->surface(), nextTsos.localParameters(), *magField);
236  const AlgebraicMatrix localToCurvilinear = asHepMatrix<5>(startTrafo.jacobian());
237  allLocalToCurv.push_back(localToCurvilinear);
238  if (nextStep == 0.) {
239  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::construct"
240  << "step 0. from id " << previousHitPtr->geographicalId()
241  << " to " << hitPtr->det()->geographicalId() << ".";
242  // brokenLinesFine will not work, brokenLinesCoarse combines close by layers
244  edm::LogError("Alignment") << "@SUB=ReferenceTrajectory::construct" << "Skip track.";
245  return false;
246  }
247  }
248  allSteps.push_back(nextStep);
249  allCurvlinJacobians.push_back(nextCurvlinJacobian);
250 
251  }
252 
253  // take material effects into account. since trajectory-state is constructed with errors equal zero,
254  // the updated state contains only the uncertainties due to interactions in the current layer.
255  const TrajectoryStateOnSurface tmpTsos(theTsosVec.back().localParameters(), zeroErrors,
256  theTsosVec.back().surface(), magField, surfaceSide);
257  const TrajectoryStateOnSurface updatedTsos = aMaterialEffectsUpdator->updateState(tmpTsos, propDir_);
258 
259  if ( !updatedTsos.isValid() ) return false;// no delete aMaterialEffectsUpdator needed
260 
261  if ( theTsosVec.back().localParameters().charge() )
262  {
263  previousChangeInCurvature[0][0] = updatedTsos.localParameters().signedInverseMomentum()
264  / theTsosVec.back().localParameters().signedInverseMomentum();
265  }
266 
267  // get multiple-scattering covariance-matrix
268  allDeltaParameterCovs.push_back( asHepMatrix<5>(updatedTsos.localError().matrix()) );
269  allCurvatureChanges.push_back(previousChangeInCurvature);
270 
271  // projection-matrix tsos-parameters -> measurement-coordinates
272  allProjections.push_back(this->getHitProjectionMatrix(hitPtr));
273  // set start-parameters for next propagation. trajectory-state without error
274  // - no error propagation needed here.
275  previousHitPtr = hitPtr;
276  previousTsos = TrajectoryStateOnSurface(updatedTsos.globalParameters(),
277  updatedTsos.surface(), surfaceSide);
278 
280  this->fillDerivatives(allProjections.back(), fullJacobian, iRow);
281  }
282 
283  AlgebraicVector mixedLocalParams = asHepVector<5>(theTsosVec.back().localParameters().mixedFormatVector());
284  this->fillTrajectoryPositions(allProjections.back(), mixedLocalParams, iRow);
285  if ( useRecHit( hitPtr ) ) this->fillMeasurementAndError(hitPtr, iRow, updatedTsos);
286 
287  iRow += nMeasPerHit;
288  } // end of loop on hits
289 
290  bool msOK = true;
291  switch (materialEffects_) {
292  case none:
293  break;
294  case multipleScattering:
295  case energyLoss:
296  case combined:
297  msOK = this->addMaterialEffectsCov(allJacobians, allProjections, allCurvatureChanges,
298  allDeltaParameterCovs);
299  break;
300  case breakPoints:
301  msOK = this->addMaterialEffectsBp(allJacobians, allProjections, allCurvatureChanges,
302  allDeltaParameterCovs, allLocalToCurv);
303  break;
304  case brokenLinesCoarse:
305  msOK = this->addMaterialEffectsBrl(allProjections, allDeltaParameterCovs, allLocalToCurv,
306  allSteps, refTsos.globalParameters());
307  break;
308  case brokenLinesFine:
309  msOK = this->addMaterialEffectsBrl(allCurvlinJacobians, allProjections, allCurvatureChanges,
310  allDeltaParameterCovs, allLocalToCurv, refTsos.globalParameters());
311  break;
312  case localGBL:
313  msOK = this->addMaterialEffectsLocalGbl(allJacobians, allProjections, allCurvatureChanges,
314  allDeltaParameterCovs);
315  break;
316  case curvlinGBL:
317  msOK = this->addMaterialEffectsCurvlinGbl(allCurvlinJacobians, allProjections, allCurvatureChanges,
318  allDeltaParameterCovs, allLocalToCurv);
319  }
320  if (!msOK) return false;
321 
322  if (refTsos.hasError()) {
323  AlgebraicSymMatrix parameterCov = asHepMatrix<5>(refTsos.localError().matrix());
324  AlgebraicMatrix parDeriv;
325  if (theNumberOfVirtualPars>0) {
326  parDeriv = theDerivatives.sub( 1, nMeasPerHit*allJacobians.size(), 1, theParameters.num_row() );
327  } else {
328  parDeriv = theDerivatives;
329  }
330  theTrajectoryPositionCov = parameterCov.similarity(parDeriv);
331  } else {
333  }
334 
335  return true;
336 }
AlgebraicMatrix theInnerTrajectoryToCurvilinear
double z0() const
z coordinate
Definition: BeamSpot.h:68
AlgebraicMatrix getHitProjectionMatrix(const TransientTrackingRecHit::ConstRecHitPointer &recHit) const
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)
const LocalTrajectoryParameters & localParameters() const
AlgebraicMatrix theInnerLocalToTrajectory
int nominalValue() const
The nominal field value for this map in kGauss.
Definition: MagneticField.h:56
virtual void fillMeasurementAndError(const TransientTrackingRecHit::ConstRecHitPointer &hitPtr, unsigned int iRow, const TrajectoryStateOnSurface &updatedTsos)
static const unsigned int nMeasPerHit
Geom::Phi< T > phi() const
Definition: PV3DBase.h:69
const TransientTrackingRecHit::ConstRecHitContainer & recHits() const
virtual bool addMaterialEffectsLocalGbl(const std::vector< AlgebraicMatrix > &allJacobians, const std::vector< AlgebraicMatrix > &allProjections, const std::vector< AlgebraicSymMatrix > &allCurvatureChanges, const std::vector< AlgebraicSymMatrix > &allDeltaParameterCovs)
SurfaceSide surfaceSide(const PropagationDirection dir) const
virtual bool propagate(const Plane &previousSurface, const TrajectoryStateOnSurface &previousTsos, const Plane &newSurface, TrajectoryStateOnSurface &newTsos, AlgebraicMatrix &newJacobian, AlgebraicMatrix &newCurvlinJacobian, double &nextStep, const MagneticField *magField) const
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)
const Plane & surface() const
The nominal surface of the GeomDet.
Definition: GeomDet.h:42
float signedInverseMomentum() const
Signed inverse momentum q/p (zero for neutrals).
const PropagationDirection propDir_
AlgebraicSymMatrix theTrajectoryPositionCov
double dydz() const
dydz slope
Definition: BeamSpot.h:84
virtual bool addMaterialEffectsCurvlinGbl(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 SurfaceType & surface() const
SurfaceSideDefinition::SurfaceSide SurfaceSide
CLHEP::HepMatrix AlgebraicMatrix
std::shared_ptr< TrackingRecHit const > ConstRecHitPointer
static PlanePointer build(Args &&...args)
Definition: Plane.h:33
FreeTrajectoryState const * freeState(bool withErrors=true) const
MaterialEffectsUpdator * createUpdator(MaterialEffects materialEffects, double mass) const
virtual void fillDerivatives(const AlgebraicMatrix &projection, const AlgebraicMatrix &fullJacobian, unsigned int iRow)
const MaterialEffects materialEffects_
GlobalVector momentum() const
double dxdz() const
dxdz slope
Definition: BeamSpot.h:82
TransientTrackingRecHit::ConstRecHitContainer theRecHits
std::vector< ConstRecHitPointer > ConstRecHitContainer
CLHEP::HepVector AlgebraicVector
CLHEP::HepSymMatrix AlgebraicSymMatrix
std::vector< TrajectoryStateOnSurface > theTsosVec
double y0() const
y coordinate
Definition: BeamSpot.h:66
virtual bool addMaterialEffectsCov(const std::vector< AlgebraicMatrix > &allJacobians, const std::vector< AlgebraicMatrix > &allProjections, const std::vector< AlgebraicSymMatrix > &allCurvChanges, const std::vector< AlgebraicSymMatrix > &allDeltaParaCovs)
virtual void fillTrajectoryPositions(const AlgebraicMatrix &projection, const AlgebraicVector &mixedLocalParams, unsigned int iRow)
bool useRecHit(const TransientTrackingRecHit::ConstRecHitPointer &hitPtr) const
double x0() const
x coordinate
Definition: BeamSpot.h:64
MaterialEffectsUpdator * ReferenceTrajectory::createUpdator ( MaterialEffects  materialEffects,
double  mass 
) const
protected

internal method to get apropriate updator

Definition at line 341 of file ReferenceTrajectory.cc.

References ReferenceTrajectoryBase::breakPoints, ReferenceTrajectoryBase::brokenLinesCoarse, ReferenceTrajectoryBase::brokenLinesFine, ReferenceTrajectoryBase::combined, ReferenceTrajectoryBase::curvlinGBL, ReferenceTrajectoryBase::energyLoss, HLT_25ns10e33_v2_cff::EnergyLossUpdator, ReferenceTrajectoryBase::localGBL, ReferenceTrajectoryBase::multipleScattering, HLT_25ns10e33_v2_cff::MultipleScatteringUpdator, and ReferenceTrajectoryBase::none.

Referenced by construct().

342 {
343  switch (materialEffects) {
344  // MultipleScatteringUpdator doesn't change the trajectory-state
345  // during update and can therefore be used if material effects should be ignored:
346  case none:
347  case multipleScattering:
348  return new MultipleScatteringUpdator(mass);
349  case energyLoss:
350  return new EnergyLossUpdator(mass);
351  case combined:
353  case breakPoints:
355  case brokenLinesCoarse:
356  case brokenLinesFine:
357  case localGBL:
358  case curvlinGBL:
360 }
361 
362  return 0;
363 }
void ReferenceTrajectory::fillDerivatives ( const AlgebraicMatrix projection,
const AlgebraicMatrix fullJacobian,
unsigned int  iRow 
)
protectedvirtual

internal method to fill derivatives for hit iRow/2

Definition at line 455 of file ReferenceTrajectory.cc.

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

Referenced by construct().

458 {
459  // derivatives of the local coordinates of the reference track w.r.t. to the inital track-parameters
460  const AlgebraicMatrix projectedJacobian(projection * fullJacobian);
461  for (int i = 0; i < parameters().num_row(); ++i) {
462  for (int j = 0; j < projectedJacobian.num_row(); ++j) {
463  theDerivatives[iRow+j][i] = projectedJacobian[j][i];
464  }
465  }
466 }
int i
Definition: DBlmapReader.cc:9
CLHEP::HepMatrix AlgebraicMatrix
int j
Definition: DBlmapReader.cc:9
const AlgebraicVector & parameters() const
void ReferenceTrajectory::fillMeasurementAndError ( const TransientTrackingRecHit::ConstRecHitPointer hitPtr,
unsigned int  iRow,
const TrajectoryStateOnSurface updatedTsos 
)
protectedvirtual

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

Definition at line 416 of file ReferenceTrajectory.cc.

References includeAPEs_, TrackerGeomDet::localAlignmentError(), ReferenceTrajectoryBase::theMeasurements, ReferenceTrajectoryBase::theMeasurementsCov, PV3DBase< T, PVType, FrameType >::x(), LocalError::xx(), LocalError::xy(), PV3DBase< T, PVType, FrameType >::y(), and LocalError::yy().

Referenced by construct().

419 {
420  // get the measurements and their errors, use information updated with tsos if improving
421  // (GF: Also for measurements or only for errors or do the former not change?)
422  // GF 10/2008: I doubt that it makes sense to update the hit with the tsos here:
423  // That is an analytical extrapolation and not the best guess of the real
424  // track state on the module, but the latter should be better to get the best
425  // hit uncertainty estimate!
426 
427  // FIXME FIXME CLONE
428  auto newHitPtr = hitPtr;
429 // TransientTrackingRecHit::ConstRecHitPointer newHitPtr(hitPtr->canImproveWithTrack() ?
430 // hitPtr->clone(updatedTsos) : hitPtr);
431 
432  const LocalPoint localMeasurement = newHitPtr->localPosition();
433  const LocalError localMeasurementCov = newHitPtr->localPositionError(); // CPE+APE
434 
435  theMeasurements[iRow] = localMeasurement.x();
436  theMeasurements[iRow+1] = localMeasurement.y();
437  theMeasurementsCov[iRow][iRow] = localMeasurementCov.xx();
438  theMeasurementsCov[iRow][iRow+1] = localMeasurementCov.xy();
439  theMeasurementsCov[iRow+1][iRow+1] = localMeasurementCov.yy();
440 
441  if (!includeAPEs_) {
442  // subtract APEs (if existing) from covariance matrix
443  auto det = static_cast<const TrackerGeomDet*>(newHitPtr->det());
444  const auto localAPE = det->localAlignmentError();
445  if (localAPE.valid()) {
446  theMeasurementsCov[iRow][iRow] -= localAPE.xx();
447  theMeasurementsCov[iRow][iRow+1] -= localAPE.xy();
448  theMeasurementsCov[iRow+1][iRow+1] -= localAPE.yy();
449  }
450  }
451 }
float xx() const
Definition: LocalError.h:24
T y() const
Definition: PV3DBase.h:63
float xy() const
Definition: LocalError.h:25
float yy() const
Definition: LocalError.h:26
AlgebraicSymMatrix theMeasurementsCov
T x() const
Definition: PV3DBase.h:62
LocalError const & localAlignmentError() const
Return local alligment error.
void ReferenceTrajectory::fillTrajectoryPositions ( const AlgebraicMatrix projection,
const AlgebraicVector mixedLocalParams,
unsigned int  iRow 
)
protectedvirtual

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

Definition at line 470 of file ReferenceTrajectory.cc.

References i, and ReferenceTrajectoryBase::theTrajectoryPositions.

Referenced by construct().

473 {
474  // get the local coordinates of the reference trajectory
475  const AlgebraicVector localPosition(projection * mixedLocalParams);
476  for (int i = 0; i < localPosition.num_row(); ++i) {
477  theTrajectoryPositions[iRow+i] = localPosition[i];
478  }
479 }
int i
Definition: DBlmapReader.cc:9
CLHEP::HepVector AlgebraicVector
AlgebraicMatrix ReferenceTrajectory::getHitProjectionMatrix ( const TransientTrackingRecHit::ConstRecHitPointer recHit) const
protected

first (generic) helper to get the projection matrix

Definition at line 1128 of file ReferenceTrajectory.cc.

References Exception.

Referenced by construct().

1129 {
1130  if (this->useRecHit(hitPtr)) {
1131  // check which templated non-member function to call:
1132  switch (hitPtr->dimension()) {
1133  case 1:
1134  return getHitProjectionMatrixT<1>(hitPtr);
1135  case 2:
1136  return getHitProjectionMatrixT<2>(hitPtr);
1137  case 3:
1138  return getHitProjectionMatrixT<3>(hitPtr);
1139  case 4:
1140  return getHitProjectionMatrixT<4>(hitPtr);
1141  case 5:
1142  return getHitProjectionMatrixT<5>(hitPtr);
1143  default:
1144  throw cms::Exception("ReferenceTrajectory::getHitProjectionMatrix")
1145  << "Unexpected hit dimension: " << hitPtr->dimension() << "\n";
1146  }
1147  }
1148  // invalid or (to please compiler) unknown dimension
1149  return AlgebraicMatrix(2, 5, 0); // get size from ???
1150 }
CLHEP::HepMatrix AlgebraicMatrix
bool useRecHit(const TransientTrackingRecHit::ConstRecHitPointer &hitPtr) const
template<unsigned int N>
AlgebraicMatrix ReferenceTrajectory::getHitProjectionMatrixT ( const TransientTrackingRecHit::ConstRecHitPointer recHit) const
protected

second helper (templated on the dimension) to get the projection matrix

Definition at line 1157 of file ReferenceTrajectory.cc.

References N, KfComponentsHolder::projection(), alignCSCRings::r, and KfComponentsHolder::setup().

1158 {
1159  // define variables that will be used to setup the KfComponentsHolder
1160  // (their allocated memory is needed by 'hitPtr->getKfComponents(..)'
1161 
1163  typename AlgebraicROOTObject<N>::Vector r, rMeas;
1164  typename AlgebraicROOTObject<N,N>::SymMatrix V, VMeas;
1165  // input for the holder - but dummy is OK here to just get the projection matrix:
1166  const AlgebraicVector5 dummyPars;
1167  const AlgebraicSymMatrix55 dummyErr;
1168 
1169  // setup the holder with the correct dimensions and get the values
1170  KfComponentsHolder holder;
1171  holder.setup<N>(&r, &V, &pf, &rMeas, &VMeas, dummyPars, dummyErr);
1172  hitPtr->getKfComponents(holder);
1173 
1174  return asHepMatrix<N,5>(holder.projection<N>());
1175 }
void setup(typename AlgebraicROOTObject< D >::Vector *params, typename AlgebraicROOTObject< D, D >::SymMatrix *errors, ProjectMatrix< double, 5, D > *projFunc, typename AlgebraicROOTObject< D >::Vector *measuredParams, typename AlgebraicROOTObject< D, D >::SymMatrix *measuredErrors, const AlgebraicVector5 &tsosLocalParameters, const AlgebraicSymMatrix55 &tsosLocalErrors)
ROOT::Math::SMatrix< double, D1, D1, ROOT::Math::MatRepSym< double, D1 > > SymMatrix
ROOT::Math::SMatrix< double, 5, 5, ROOT::Math::MatRepSym< double, 5 > > AlgebraicSymMatrix55
AlgebraicROOTObject< D, 5 >::Matrix projection()
ROOT::Math::SVector< double, D1 > Vector
#define N
Definition: blowfish.cc:9
ROOT::Math::SVector< double, 5 > AlgebraicVector5
bool ReferenceTrajectory::propagate ( const Plane previousSurface,
const TrajectoryStateOnSurface previousTsos,
const Plane newSurface,
TrajectoryStateOnSurface newTsos,
AlgebraicMatrix newJacobian,
AlgebraicMatrix newCurvlinJacobian,
double &  nextStep,
const MagneticField magField 
) const
protectedvirtual

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 367 of file ReferenceTrajectory.cc.

References TrajectoryStateOnSurface::globalParameters(), TrajectoryStateOnSurface::localParameters(), Propagator::propagateWithPath(), defaultRKPropagator::Product::propagator, and propDir_.

Referenced by construct().

371 {
372  // propagate to next layer
376  //AnalyticalPropagator aPropagator(magField, propDir_);
377  // Hard coded RungeKutta instead Analytical (avoid bias in TEC), but
378  // work around TrackPropagation/RungeKutta/interface/RKTestPropagator.h and
379  // http://www.parashift.com/c++-faq-lite/strange-inheritance.html#faq-23.9
380  defaultRKPropagator::Product rkprod(magField, propDir_); //double tolerance = 5.e-5)
381  Propagator &aPropagator = rkprod.propagator;
382  const std::pair<TrajectoryStateOnSurface, double> tsosWithPath =
383  aPropagator.propagateWithPath(previousTsos, newSurface);
384 
385  // stop if propagation wasn't successful
386  if (!tsosWithPath.first.isValid()) return false;
387 
388  nextStep = tsosWithPath.second;
389  // calculate derivative of reference-track parameters on the actual layer w.r.t. the ones
390  // on the previous layer (both in global coordinates)
391  const AnalyticalCurvilinearJacobian aJacobian(previousTsos.globalParameters(),
392  tsosWithPath.first.globalPosition(),
393  tsosWithPath.first.globalMomentum(),
394  tsosWithPath.second);
395  const AlgebraicMatrix curvilinearJacobian = asHepMatrix<5,5>(aJacobian.jacobian());
396 
397  // jacobian of the track parameters on the previous layer for local->global transformation
398  const JacobianLocalToCurvilinear startTrafo(previousSurface, previousTsos.localParameters(), *magField);
399  const AlgebraicMatrix localToCurvilinear = asHepMatrix<5>(startTrafo.jacobian());
400 
401  // jacobian of the track parameters on the actual layer for global->local transformation
402  const JacobianCurvilinearToLocal endTrafo(newSurface, tsosWithPath.first.localParameters(), *magField);
403  const AlgebraicMatrix curvilinearToLocal = asHepMatrix<5>(endTrafo.jacobian());
404 
405  // compute derivative of reference-track parameters on the actual layer w.r.t. the ones on
406  // the previous layer (both in their local representation)
407  newCurvlinJacobian = curvilinearJacobian;
408  newJacobian = curvilinearToLocal * curvilinearJacobian * localToCurvilinear;
409  newTsos = tsosWithPath.first;
410 
411  return true;
412 }
const LocalTrajectoryParameters & localParameters() const
const PropagationDirection propDir_
CLHEP::HepMatrix AlgebraicMatrix
virtual std::pair< TrajectoryStateOnSurface, double > propagateWithPath(const FreeTrajectoryState &, const Surface &) const final
Definition: Propagator.cc:15
const GlobalTrajectoryParameters & globalParameters() const
SurfaceSide ReferenceTrajectory::surfaceSide ( const PropagationDirection  dir) const
inlineprotected

Don't care for propagation direction 'anyDirection' - in that case the material effects are anyway not updated ...

Definition at line 170 of file ReferenceTrajectory.h.

References SurfaceSideDefinition::afterSurface, alongMomentum, and SurfaceSideDefinition::beforeSurface.

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

Member Data Documentation

const bool ReferenceTrajectory::includeAPEs_
private

Definition at line 196 of file ReferenceTrajectory.h.

Referenced by fillMeasurementAndError().

const double ReferenceTrajectory::mass_
private

Definition at line 192 of file ReferenceTrajectory.h.

Referenced by construct().

const MaterialEffects ReferenceTrajectory::materialEffects_
private

Definition at line 193 of file ReferenceTrajectory.h.

Referenced by construct().

const PropagationDirection ReferenceTrajectory::propDir_
private

Definition at line 194 of file ReferenceTrajectory.h.

Referenced by construct(), and propagate().

const bool ReferenceTrajectory::useBeamSpot_
private

Definition at line 195 of file ReferenceTrajectory.h.

Referenced by construct().