#include <CSCCondSegFit.h>

Inheritance diagram for CSCCondSegFit:

Public Member Functions
	CSCCondSegFit (const edm::ParameterSet &ps, const CSCChamber *csc, const CSCSetOfHits &hits)

void	fit (bool condpass1=false, bool condpass2=false)

int	worstHit (void)

	~CSCCondSegFit ()

Public Member Functions inherited from CSCSegFit
const CSCChamber *	chamber () const

double	chi2 (void) const

AlgebraicSymMatrix	covarianceMatrix (void)

	CSCSegFit (const CSCChamber *csc, CSCSetOfHits hits)

void	fit (void)

bool	fitdone () const

CSCSetOfHits	hits (void) const

LocalPoint	intercept () const

LocalVector	localdir () const

int	ndof (void) const

size_t	nhits (void) const

float	Rdev (float x, float y, float z) const

double	scaleXError (void) const

void	setScaleXError (double factor)

float	xdev (float x, float z) const

float	xfit (float z) const

float	ydev (float y, float z) const

float	yfit (float z) const

virtual	~CSCSegFit ()

Private Member Functions
void	correctTheCovMatrix (CSCSegFit::SMatrixSym2 &IC)

void	correctTheCovX (void)

void	setChi2 (bool condpass1, bool condpass2)

Private Attributes
double	chi2Norm_

double	condSeed1_

double	condSeed2_

double	covAnyNumber_
	Allow to use any number for covariance for all RecHits. More...

bool	covToAnyNumber_
	The correction parameters. More...

bool	covToAnyNumberAll_
	Allow to use any number for covariance (by hand) More...

std::vector< double >	lex_

int	worstHit_

Additional Inherited Members
Public Types inherited from CSCSegFit
typedef std::vector< const CSCRecHit2D * >	CSCSetOfHits

typedef ROOT::Math::SMatrix < double, 12, 4 >	SMatrix12by4

typedef ROOT::Math::SMatrix < double, 4 >	SMatrix4

typedef ROOT::Math::SMatrix < double, 12, 12, ROOT::Math::MatRepSym < double, 12 > >	SMatrixSym12

typedef ROOT::Math::SMatrix < double, 2, 2, ROOT::Math::MatRepSym < double, 2 > >	SMatrixSym2

typedef ROOT::Math::SMatrix < double, 4, 4, ROOT::Math::MatRepSym < double, 4 > >	SMatrixSym4

typedef ROOT::Math::SVector < double, 4 >	SVector4

Protected Member Functions inherited from CSCSegFit
SMatrix12by4	derivativeMatrix (void)

AlgebraicSymMatrix	flipErrors (const SMatrixSym4 &)

void	setOutFromIP (void)

SMatrixSym12	weightMatrix (void)

Protected Attributes inherited from CSCSegFit
const CSCChamber *	chamber_

double	chi2_

bool	fitdone_

CSCSetOfHits	hits_

LocalPoint	intercept_

LocalVector	localdir_

int	ndof_

double	scaleXError_

float	uslope_

float	vslope_

Detailed Description

Definition at line 18 of file CSCCondSegFit.h.

Constructor & Destructor Documentation

CSCCondSegFit::CSCCondSegFit	(	const edm::ParameterSet &	ps,
		const CSCChamber *	csc,
		const CSCSetOfHits &	hits
	)

inline

Definition at line 22 of file CSCCondSegFit.h.

                                                                                              : 
     CSCSegFit( csc, hits ),
     worstHit_( 0 ),
     chi2Norm_ ( ps.getParameter<double>("NormChi2Cut2D") ),
     condSeed1_ ( ps.getParameter<double>("SeedSmall") ),
     condSeed2_ ( ps.getParameter<double>("SeedBig") ),
     covToAnyNumber_ ( ps.getParameter<bool>("ForceCovariance") ),
     covToAnyNumberAll_ ( ps.getParameter<bool>("ForceCovarianceAll") ),
     covAnyNumber_ ( ps.getParameter<double>("Covariance") ) {}

CSCCondSegFit::~CSCCondSegFit ( )

inline

Definition at line 32 of file CSCCondSegFit.h.

32 {}

Member Function Documentation

void CSCCondSegFit::correctTheCovMatrix ( CSCSegFit::SMatrixSym2 & IC )

private

Definition at line 252 of file CSCCondSegFit.cc.

References condSeed1_, condSeed2_, covAnyNumber_, covToAnyNumber_, covToAnyNumberAll_, and mathSSE::sqrt().

Referenced by fit(), and setChi2().

                                                       {
   //double condNumberCorr1=0.0;
   double condNumberCorr2=0.0; 
   double detCov=0.0;
   double diag1=0.0;
   double diag2=0.0;
   double IC_01_corr=0.0;
   double  IC_00_corr=0.0;
   if(!covToAnyNumberAll_){
     //condNumberCorr1=condSeed1_*IC(1,1);
     condNumberCorr2=condSeed2_*IC(1,1);
     diag1=IC(0,0)*IC(1,1);
     diag2=IC(0,1)*IC(0,1);
     detCov=fabs(diag1-diag2);
     if((diag1<condNumberCorr2)&&(diag2<condNumberCorr2)){
       if(covToAnyNumber_)
         IC(0,1)=covAnyNumber_;
       else {    
         IC_00_corr=condSeed1_+fabs(IC(0,1))/IC(1,1);
         IC(0,0)=IC_00_corr;
       }
     }
     
     if(((detCov<condNumberCorr2)&&(diag1>condNumberCorr2))||
        ((diag2>condNumberCorr2)&&(detCov<condNumberCorr2) )){
       if(covToAnyNumber_)
         IC(0,1)=covAnyNumber_;
       else {    
         IC_01_corr=sqrt(fabs(diag1-condNumberCorr2));
         if(IC(0,1)<0)
           IC(0,1)=(-1)*IC_01_corr;
         else
           IC(0,1)=IC_01_corr;
       }
     }
   }
   else{
     IC(0,1)=covAnyNumber_;
   }
   // With SMatrix formulation. the following might be unnecessary since it might
   // enforce the symmetry. But can't hurt to leave it (it WAS a real bug fix for
   // the original CLHEP formulation.)
   IC(1,0) = IC(0,1); //@@ ADDED TO MAINTAIN SYMMETRY OF IC 
 }

void CSCCondSegFit::correctTheCovX ( void )

private

Make a one dimensional fit in U-Z plane (i.e. chamber local x-z) U=U0+UZ*Z fit parameters

Calculate the fit line trace Calculate one dimensional chi^2 and normalize the errors if needed

Definition at line 186 of file CSCCondSegFit.cc.

References CSCSegFit::chamber(), chi2Norm_, CSCRecHit2D::cscDetId(), CSCSegFit::hits_, i, CSCChamber::layer(), CSCDetId::layer(), lex_, CSCRecHit2D::localPosition(), CSCRecHit2D::localPositionError(), funct::pow(), CSCSegFit::setScaleXError(), GeomDet::toGlobal(), GeomDet::toLocal(), findQualityFiles::v, worstHit_, PV3DBase< T, PVType, FrameType >::x(), LocalError::xx(), PV3DBase< T, PVType, FrameType >::y(), z, and PV3DBase< T, PVType, FrameType >::z().

Referenced by fit().

                                       {
   std::vector<double> uu, vv, zz;  // Vectors of coordinates
 
   lex_.clear(); // x component of local error for each hit
   
   double sum_U_err=0.0;
   double sum_Z_U_err=0.0; 
   double sum_Z2_U_err=0.0;
   double sum_U_U_err=0.0;
   double sum_UZ_U_err=0.0;
   std::vector<double> chiUZind;
   std::vector<double>::iterator chiContribution;
   double chiUZ=0.0;
   CSCSetOfHits::const_iterator ih = hits_.begin();
   for (ih = hits_.begin(); ih != hits_.end(); ++ih) {
     const CSCRecHit2D& hit = (**ih);
     lex_.push_back(hit.localPositionError().xx());
 
     const CSCLayer* layer  = chamber()->layer(hit.cscDetId().layer());
     GlobalPoint gp         = layer->toGlobal(hit.localPosition());
     LocalPoint  lp         = chamber()->toLocal(gp); 
     // Local position of hit w.r.t. chamber
     double u = lp.x();
     double v = lp.y();
     double z = lp.z();
     uu.push_back(u); 
     vv.push_back(v); 
     zz.push_back(z);
     // Prepare the sums for the standard linear fit
     sum_U_err += 1./lex_.back();
     sum_Z_U_err += z/lex_.back();
     sum_Z2_U_err += (z*z)/lex_.back();
     sum_U_U_err += u/lex_.back();
     sum_UZ_U_err += (u*z)/lex_.back();
   }
  
   
   double denom=sum_U_err*sum_Z2_U_err-pow(sum_Z_U_err,2);
   double U0=(sum_Z2_U_err*sum_U_U_err-sum_Z_U_err*sum_UZ_U_err)/denom;
   double UZ=(sum_U_err*sum_UZ_U_err-sum_Z_U_err*sum_U_U_err)/denom;
   
   
   for(unsigned i=0; i<uu.size(); ++i){
     double uMean = U0+UZ*zz[i];
     chiUZind.push_back((pow((uMean-uu[i]),2))/lex_[i]);
     chiUZ += (pow((uMean-uu[i]),2))/lex_[i];
   }
   chiUZ = chiUZ/(uu.size()-2);
   
   if(chiUZ>=chi2Norm_){
     double chi2uCorrection = chiUZ/chi2Norm_;
     for(unsigned i=0; i<uu.size(); ++i)
       lex_[i]=lex_[i]*chi2uCorrection;
       setScaleXError(chi2uCorrection);
   }
     
   // Find most deviant hit 
     chiContribution=max_element(chiUZind.begin(),chiUZind.end());
     worstHit_ = chiContribution - chiUZind.begin();
  
 }

void CSCCondSegFit::fit	(	bool	condpass1 = `false`,
		bool	condpass2 = `false`
	)

Definition at line 12 of file CSCCondSegFit.cc.

References CSCSegFit::chamber(), correctTheCovMatrix(), correctTheCovX(), CSCRecHit2D::cscDetId(), CSCSegFit::hits_, CSCSegFit::intercept_, CSCChamber::layer(), CSCDetId::layer(), lex_, CSCRecHit2D::localPosition(), CSCRecHit2D::localPositionError(), LogTrace, convertSQLiteXML::ok, AlCaHLTBitMon_ParallelJobs::p, CSCSegFit::setChi2(), CSCSegFit::setOutFromIP(), GeomDet::toGlobal(), GeomDet::toLocal(), CSCSegFit::uslope_, findQualityFiles::v, CSCSegFit::vslope_, PV3DBase< T, PVType, FrameType >::x(), LocalError::xx(), LocalError::xy(), PV3DBase< T, PVType, FrameType >::y(), LocalError::yy(), z, and PV3DBase< T, PVType, FrameType >::z().

Referenced by CSCSegAlgoST::buildSegments(), trackingPlots.Iteration::modules(), and CSCSegAlgoST::prune_bad_hits().

                                                         {
 
   // See base class CSCSegFit::fit for detailed explanation of algorithm.
   // This is exactly the same, except it adds two conditioning passes
   // which can improve the robustness of the calculations.  
   
   lex_.clear(); // Vector of the error matrix (only xx)
   
   if(condpass1 && !condpass2){
     correctTheCovX();
     if(lex_.size()!=hits_.size()){
       LogTrace("CSCSegment|CSC") << "[CSCSegFit::fit] lex_.size()!=hits_.size() ALARM! Please inform CSC DPG " << std::endl;
     }
   }
 
   SMatrix4 M; // 4x4, init to 0
   SVector4 B; // 4x1, init to 0; 
 
   CSCSetOfHits::const_iterator ih = hits_.begin();
   
   for (ih = hits_.begin(); ih != hits_.end(); ++ih) {
     const CSCRecHit2D& hit = (**ih);
     const CSCLayer* layer  = chamber()->layer(hit.cscDetId().layer());
     GlobalPoint gp         = layer->toGlobal(hit.localPosition());
     LocalPoint  lp         = chamber()->toLocal(gp); 
     
     // Local position of hit w.r.t. chamber
     double u = lp.x();
     double v = lp.y();
     double z = lp.z();
     
     // Covariance matrix of local errors 
     SMatrixSym2 IC; // 2x2, init to 0
     
     // Adjust covariance matrix elements to improve numerical stability?
     if(condpass1 && !condpass2){
       IC(0,0) = lex_.at(ih-hits_.begin());
     }
     else {
       IC(0,0) = hit.localPositionError().xx();
     }
     IC(1,1) = hit.localPositionError().yy();
     //@@ NOT SURE WHICH OFF-DIAGONAL ELEMENT MUST BE DEFINED BUT (1,0) WORKS
     //@@ (and SMatrix enforces symmetry)
     IC(1,0) = hit.localPositionError().xy();
     // IC(0,1) = IC(1,0);
     
     // Correct the covariance matrix to improve numerical stability?
     if(condpass2){
       correctTheCovMatrix(IC);
     }
     
     // Invert covariance matrix (and trap if it fails!)
     bool ok = IC.Invert();
     if ( !ok ) {
       LogTrace("CSCSegment|CSC") << "[CSCSegFit::fit] Failed to invert covariance matrix: \n" << IC;      
       //      return ok;  //@@ SHOULD PASS THIS BACK TO CALLER?
     }
 
     M(0,0) += IC(0,0);
     M(0,1) += IC(0,1);
     M(0,2) += IC(0,0) * z;
     M(0,3) += IC(0,1) * z;
     B(0)   += u * IC(0,0) + v * IC(0,1);
  
     M(1,0) += IC(1,0);
     M(1,1) += IC(1,1);
     M(1,2) += IC(1,0) * z;
     M(1,3) += IC(1,1) * z;
     B(1)   += u * IC(1,0) + v * IC(1,1);
  
     M(2,0) += IC(0,0) * z;
     M(2,1) += IC(0,1) * z;
     M(2,2) += IC(0,0) * z * z;
     M(2,3) += IC(0,1) * z * z;
     B(2)   += ( u * IC(0,0) + v * IC(0,1) ) * z;
  
     M(3,0) += IC(1,0) * z;
     M(3,1) += IC(1,1) * z;
     M(3,2) += IC(1,0) * z * z;
     M(3,3) += IC(1,1) * z * z;
     B(3)   += ( u * IC(1,0) + v * IC(1,1) ) * z;
 
   }
 
   SVector4 p;
   bool ok = M.Invert();
   if (!ok ){
     LogTrace("CSCSegment|CSC") << "[CSCSegFit::fit] Failed to invert matrix: \n" << M;
     //    return ok; //@@ SHOULD PASS THIS BACK TO CALLER?
   }
   else {
     p = M * B;
   }
 
   //  LogTrace("CSCSegFit") << "[CSCSegFit::fit] p = " 
   //        << p(0) << ", " << p(1) << ", " << p(2) << ", " << p(3);
   
   // fill member variables  (note origin has local z = 0)
   intercept_ = LocalPoint(p(0), p(1), 0.);
    
   // localdir_
   uslope_ = p(2);
   vslope_ = p(3);
   setOutFromIP();
   
   // calculate chi2 of fit
   setChi2( condpass1, condpass2 );
 
 }

void CSCCondSegFit::setChi2	(	bool	condpass1,
		bool	condpass2
	)

private

Correct the cov matrix

Definition at line 125 of file CSCCondSegFit.cc.

References CSCSegFit::chamber(), CSCSegFit::chi2_, correctTheCovMatrix(), CSCRecHit2D::cscDetId(), CSCSegFit::hits_, CSCSegFit::intercept_, CSCChamber::layer(), CSCDetId::layer(), lex_, CSCRecHit2D::localPosition(), CSCRecHit2D::localPositionError(), LogTrace, CSCSegFit::ndof_, convertSQLiteXML::ok, GeomDet::toGlobal(), GeomDet::toLocal(), CSCSegFit::uslope_, findQualityFiles::v, CSCSegFit::vslope_, PV3DBase< T, PVType, FrameType >::x(), LocalError::xx(), LocalError::xy(), PV3DBase< T, PVType, FrameType >::y(), LocalError::yy(), z, and PV3DBase< T, PVType, FrameType >::z().

                                                             {
   
   double chsq = 0.;
 
   CSCSetOfHits::const_iterator ih;
   for (ih = hits_.begin(); ih != hits_.end(); ++ih) {
     
     const CSCRecHit2D& hit = (**ih);
     const CSCLayer* layer  = chamber()->layer(hit.cscDetId().layer());
     GlobalPoint gp         = layer->toGlobal(hit.localPosition());
     LocalPoint lp          = chamber()->toLocal(gp);
     
     double u = lp.x();
     double v = lp.y();
     double z = lp.z();
     
     double du = intercept_.x() + uslope_ * z - u;
     double dv = intercept_.y() + vslope_ * z - v;
     
     //    LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] u, v, z = " << u << ", " << v << ", " << z;
 
     SMatrixSym2 IC; // 2x2, init to 0
 
     if(condpass1 && !condpass2){
       IC(0,0) = lex_.at(ih-hits_.begin());
     }
     else{
       IC(0,0) = hit.localPositionError().xx();
     }
     //    IC(0,1) = hit.localPositionError().xy();
     IC(1,0) = hit.localPositionError().xy();
     IC(1,1) = hit.localPositionError().yy();
     //    IC(1,0) = IC(0,1);
 
     //    LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] IC before = \n" << IC;
 
     if(condpass2){
       correctTheCovMatrix(IC);
     }
     
     // Invert covariance matrix
     bool ok = IC.Invert();
     if (!ok ){
       LogTrace("CSCSegment|CSC") << "[CSCSegFit::setChi2] Failed to invert covariance matrix: \n" << IC;
       //      return ok;
     }
     //    LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] IC after = \n" << IC;
     chsq += du*du*IC(0,0) + 2.*du*dv*IC(0,1) + dv*dv*IC(1,1);
   }
   
   // fill member variables
   chi2_ = chsq;
   ndof_ = 2.*hits_.size() - 4;
 
   //  LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] chi2 = " << chi2_ << "/" << ndof_ << " dof";
 
 }