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CSCSegFit Class Reference

#include <CSCSegFit.h>

Inheritance diagram for CSCSegFit:
CSCCondSegFit

Public Types

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
 

Public Member Functions

const CSCChamberchamber () 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 ()
 

Protected Member Functions

SMatrix12by4 derivativeMatrix (void)
 
AlgebraicSymMatrix flipErrors (const SMatrixSym4 &)
 
void setOutFromIP (void)
 
SMatrixSym12 weightMatrix (void)
 

Protected Attributes

const CSCChamberchamber_
 
double chi2_
 
bool fitdone_
 
CSCSetOfHits hits_
 
LocalPoint intercept_
 
LocalVector localdir_
 
int ndof_
 
double scaleXError_
 
float uslope_
 
float vslope_
 

Private Member Functions

void fit2 (void)
 
void fitlsq (void)
 
void setChi2 (void)
 

Detailed Description

Definition at line 30 of file CSCSegFit.h.

Member Typedef Documentation

◆ CSCSetOfHits

typedef std::vector<const CSCRecHit2D*> CSCSegFit::CSCSetOfHits

Definition at line 34 of file CSCSegFit.h.

◆ SMatrix12by4

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

Definition at line 40 of file CSCSegFit.h.

◆ SMatrix4

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

Definition at line 43 of file CSCSegFit.h.

◆ SMatrixSym12

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

Definition at line 37 of file CSCSegFit.h.

◆ SMatrixSym2

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

Definition at line 47 of file CSCSegFit.h.

◆ SMatrixSym4

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

Definition at line 44 of file CSCSegFit.h.

◆ SVector4

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

Definition at line 50 of file CSCSegFit.h.

Constructor & Destructor Documentation

◆ CSCSegFit()

CSCSegFit::CSCSegFit ( const CSCChamber csc,
CSCSetOfHits  hits 
)
inline

Definition at line 55 of file CSCSegFit.h.

56  : chamber_(csc), hits_(hits), scaleXError_(1.0), fitdone_(false) {}
double scaleXError_
Definition: CSCSegFit.h:116
bool fitdone_
Definition: CSCSegFit.h:117
const CSCChamber * chamber_
Definition: CSCSegFit.h:108
Definition: L1Track.h:19
CSCSetOfHits hits_
Definition: CSCSegFit.h:109
CSCSetOfHits hits(void) const
Definition: CSCSegFit.h:79

◆ ~CSCSegFit()

virtual CSCSegFit::~CSCSegFit ( )
inlinevirtual

Definition at line 58 of file CSCSegFit.h.

58 {}

Member Function Documentation

◆ chamber()

const CSCChamber* CSCSegFit::chamber ( ) const
inline

◆ chi2()

double CSCSegFit::chi2 ( void  ) const
inline

◆ covarianceMatrix()

AlgebraicSymMatrix CSCSegFit::covarianceMatrix ( void  )

Definition at line 352 of file CSCSegFit.cc.

References A, derivativeMatrix(), flipErrors(), convertSQLiteXML::ok, mps_fire::result, weightMatrix(), and HLT_2022v12_cff::weights.

Referenced by CSCSegAlgoST::buildSegments(), CSCSegAlgoTC::buildSegments(), CSCSegAlgoDF::buildSegments(), CSCSegAlgoSK::buildSegments(), CSCSegAlgoST::prune_bad_hits(), and CSCSegAlgoShowering::showerSeg().

352  {
355  // LogTrace("CSCSegFit") << "[CSCSegFit::covarianceMatrix] weights matrix W: \n" << weights;
356  // LogTrace("CSCSegFit") << "[CSCSegFit::covarianceMatrix] derivatives matrix A: \n" << A;
357 
358  // (AT W A)^-1
359  // e.g. See http://www.phys.ufl.edu/~avery/fitting.html, part I
360 
361  bool ok;
362  SMatrixSym4 result = ROOT::Math::SimilarityT(A, weights);
363  // LogTrace("CSCSegFit") << "[CSCSegFit::covarianceMatrix] (AT W A): \n" << result;
364  ok = result.Invert(); // inverts in place
365  if (!ok) {
366  edm::LogVerbatim("CSCSegment|CSCSegFit") << "[CSCSegFit::calculateError] Failed to invert matrix: \n" << result;
367  // return ok; //@@ SHOULD PASS THIS BACK TO CALLER?
368  }
369  // LogTrace("CSCSegFit") << "[CSCSegFit::covarianceMatrix] (AT W A)^-1: \n" << result;
370 
371  // reorder components to match TrackingRecHit interface (CSCSegment isa TrackingRecHit)
372  // i.e. slopes first, then positions
374 
375  return flipped;
376 }
ROOT::Math::SMatrix< double, 12, 12, ROOT::Math::MatRepSym< double, 12 > > SMatrixSym12
Definition: CSCSegFit.h:37
Log< level::Info, true > LogVerbatim
ROOT::Math::SMatrix< double, 4, 4, ROOT::Math::MatRepSym< double, 4 > > SMatrixSym4
Definition: CSCSegFit.h:44
AlgebraicSymMatrix flipErrors(const SMatrixSym4 &)
Definition: CSCSegFit.cc:378
SMatrixSym12 weightMatrix(void)
Definition: CSCSegFit.cc:282
SMatrix12by4 derivativeMatrix(void)
Definition: CSCSegFit.cc:310
CLHEP::HepSymMatrix AlgebraicSymMatrix
ROOT::Math::SMatrix< double, 12, 4 > SMatrix12by4
Definition: CSCSegFit.h:40
Definition: APVGainStruct.h:7

◆ derivativeMatrix()

CSCSegFit::SMatrix12by4 CSCSegFit::derivativeMatrix ( void  )
protected

Definition at line 310 of file CSCSegFit.cc.

References chamber(), runTauDisplay::gp, hits_, CSCChamber::layer(), phase1PixelTopology::layer, makeMuonMisalignmentScenario::matrix, GeomDet::toLocal(), z, and PV3DBase< T, PVType, FrameType >::z().

Referenced by covarianceMatrix().

310  {
311  SMatrix12by4 matrix; // 12x4, init to 0
312  int row = 0;
313 
314  for (CSCSetOfHits::const_iterator it = hits_.begin(); it != hits_.end(); ++it) {
315  const CSCRecHit2D& hit = (**it);
316  const CSCLayer* layer = chamber()->layer(hit.cscDetId().layer());
317  GlobalPoint gp = layer->toGlobal(hit.localPosition());
318  LocalPoint lp = chamber()->toLocal(gp);
319  float z = lp.z();
320 
321  matrix(row, 0) = 1.;
322  matrix(row, 2) = z;
323  ++row;
324  matrix(row, 1) = 1.;
325  matrix(row, 3) = z;
326  ++row;
327  }
328  return matrix;
329 }
const CSCLayer * layer(CSCDetId id) const
Return the layer corresponding to the given id.
Definition: CSCChamber.cc:30
LocalPoint toLocal(const GlobalPoint &gp) const
Conversion to the R.F. of the GeomDet.
Definition: GeomDet.h:58
T z() const
Definition: PV3DBase.h:61
constexpr std::array< uint8_t, layerIndexSize > layer
const CSCChamber * chamber() const
Definition: CSCSegFit.h:86
CSCSetOfHits hits_
Definition: CSCSegFit.h:109
ROOT::Math::SMatrix< double, 12, 4 > SMatrix12by4
Definition: CSCSegFit.h:40

◆ fit()

void CSCSegFit::fit ( void  )

Definition at line 13 of file CSCSegFit.cc.

References fit2(), fitdone(), fitlsq(), dqmiodumpmetadata::n, and nhits().

Referenced by CSCSegAlgoShowering::compareProtoSegment(), CSCSegAlgoDF::compareProtoSegment(), trackingPlots.Iteration::modules(), CSCSegAlgoShowering::updateParameters(), CSCSegAlgoDF::updateParameters(), CSCSegAlgoSK::updateParameters(), and CSCSegAlgoTC::updateParameters().

13  {
14  if (fitdone())
15  return; // don't redo fit unnecessarily
16  short n = nhits();
17  switch (n) {
18  case 1:
19  edm::LogVerbatim("CSCSegFit") << "[CSCSegFit::fit] - cannot fit just 1 hit!!";
20  break;
21  case 2:
22  fit2();
23  break;
24  case 3:
25  case 4:
26  case 5:
27  case 6:
28  fitlsq();
29  break;
30  default:
31  edm::LogVerbatim("CSCSegFit") << "[CSCSegFit::fit] - cannot fit more than 6 hits!!";
32  }
33 }
Log< level::Info, true > LogVerbatim
void fit2(void)
Definition: CSCSegFit.cc:35
void fitlsq(void)
Definition: CSCSegFit.cc:83
bool fitdone() const
Definition: CSCSegFit.h:87
size_t nhits(void) const
Definition: CSCSegFit.h:81

◆ fit2()

void CSCSegFit::fit2 ( void  )
private

Definition at line 35 of file CSCSegFit.cc.

References chamber(), chi2_, CSCRecHit2D::cscDetId(), PVValHelper::dz, fitdone_, hits_, intercept_, CSCChamber::layer(), CSCDetId::layer(), CSCRecHit2D::localPosition(), ndof_, setOutFromIP(), GeomDet::toGlobal(), GeomDet::toLocal(), uslope_, vslope_, PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

Referenced by fit().

35  {
36  // Just join the two points
37  // Equation of straight line between (x1, y1) and (x2, y2) in xy-plane is
38  // y = mx + c
39  // with m = (y2-y1)/(x2-x1)
40  // and c = (y1*x2-x2*y1)/(x2-x1)
41 
42  CSCSetOfHits::const_iterator ih = hits_.begin();
43  int il1 = (*ih)->cscDetId().layer();
44  const CSCRecHit2D& h1 = (**ih);
45  ++ih;
46  int il2 = (*ih)->cscDetId().layer();
47  const CSCRecHit2D& h2 = (**ih);
48 
49  // Skip if on same layer, but should be impossible :)
50  if (il1 == il2) {
51  edm::LogVerbatim("CSCSegFit") << "[CSCSegFit:fit]2 - 2 hits on same layer!!";
52  return;
53  }
54 
55  const CSCLayer* layer1 = chamber()->layer(il1);
56  const CSCLayer* layer2 = chamber()->layer(il2);
57 
58  GlobalPoint h1glopos = layer1->toGlobal(h1.localPosition());
59  GlobalPoint h2glopos = layer2->toGlobal(h2.localPosition());
60 
61  // We want hit wrt chamber (and local z will be != 0)
62  LocalPoint h1pos = chamber()->toLocal(h1glopos);
63  LocalPoint h2pos = chamber()->toLocal(h2glopos);
64 
65  float dz = h2pos.z() - h1pos.z();
66 
67  uslope_ = (h2pos.x() - h1pos.x()) / dz;
68  vslope_ = (h2pos.y() - h1pos.y()) / dz;
69 
70  float uintercept = (h1pos.x() * h2pos.z() - h2pos.x() * h1pos.z()) / dz;
71  float vintercept = (h1pos.y() * h2pos.z() - h2pos.y() * h1pos.z()) / dz;
72  intercept_ = LocalPoint(uintercept, vintercept, 0.);
73 
74  setOutFromIP();
75 
76  //@@ NOT SURE WHAT IS SENSIBLE FOR THESE...
77  chi2_ = 0.;
78  ndof_ = 0;
79 
80  fitdone_ = true;
81 }
Log< level::Info, true > LogVerbatim
LocalPoint intercept_
Definition: CSCSegFit.h:112
const CSCLayer * layer(CSCDetId id) const
Return the layer corresponding to the given id.
Definition: CSCChamber.cc:30
Point3DBase< Scalar, LocalTag > LocalPoint
Definition: Definitions.h:30
LocalPoint toLocal(const GlobalPoint &gp) const
Conversion to the R.F. of the GeomDet.
Definition: GeomDet.h:58
T z() const
Definition: PV3DBase.h:61
double chi2_
Definition: CSCSegFit.h:114
float vslope_
Definition: CSCSegFit.h:111
CSCDetId cscDetId() const
Definition: CSCRecHit2D.h:58
int layer() const
Definition: CSCDetId.h:56
T x() const
Definition: PV3DBase.h:59
T y() const
Definition: PV3DBase.h:60
const CSCChamber * chamber() const
Definition: CSCSegFit.h:86
bool fitdone_
Definition: CSCSegFit.h:117
GlobalPoint toGlobal(const Local2DPoint &lp) const
Conversion to the global R.F. from the R.F. of the GeomDet.
Definition: GeomDet.h:49
CSCSetOfHits hits_
Definition: CSCSegFit.h:109
LocalPoint localPosition() const override
Definition: CSCRecHit2D.h:56
void setOutFromIP(void)
Definition: CSCSegFit.cc:331
float uslope_
Definition: CSCSegFit.h:110
int ndof_
Definition: CSCSegFit.h:115

◆ fitdone()

bool CSCSegFit::fitdone ( ) const
inline

Definition at line 87 of file CSCSegFit.h.

References fitdone_.

Referenced by fit().

87 { return fitdone_; }
bool fitdone_
Definition: CSCSegFit.h:117

◆ fitlsq()

void CSCSegFit::fitlsq ( void  )
private

Definition at line 83 of file CSCSegFit.cc.

References B, chamber(), fitdone_, runTauDisplay::gp, hits_, intercept_, CSCChamber::layer(), phase1PixelTopology::layer, convertSQLiteXML::ok, AlCaHLTBitMon_ParallelJobs::p, setChi2(), setOutFromIP(), GeomDet::toLocal(), uslope_, findQualityFiles::v, vslope_, PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), z, and PV3DBase< T, PVType, FrameType >::z().

Referenced by fit().

83  {
84  // Linear least-squares fit to up to 6 CSC rechits, one per layer in a CSC.
85  // Comments adapted from mine in original CSCSegAlgoSK algorithm.
86 
87  // Fit to the local x, y rechit coordinates in z projection
88  // The strip measurement controls the precision of x
89  // The wire measurement controls the precision of y.
90  // Typical precision: u (strip, sigma~200um), v (wire, sigma~1cm)
91 
92  // Set up the normal equations for the least-squares fit as a matrix equation
93 
94  // We have a vector of measurements m, which is a 2n x 1 dim matrix
95  // The transpose mT is (u1, v1, u2, v2, ..., un, vn) where
96  // ui is the strip-associated measurement and
97  // vi is the wire-associated measurement
98  // for a given rechit i.
99 
100  // The fit is to
101  // u = u0 + uz * z
102  // v = v0 + vz * z
103  // where u0, uz, v0, vz are the parameters to be obtained from the fit.
104 
105  // These are contained in a vector p which is a 4x1 dim matrix, and
106  // its transpose pT is (u0, v0, uz, vz). Note the ordering!
107 
108  // The covariance matrix for each pair of measurements is 2 x 2 and
109  // the inverse of this is the error matrix E.
110  // The error matrix for the whole set of n measurements is a diagonal
111  // matrix with diagonal elements the individual 2 x 2 error matrices
112  // (because the inverse of a diagonal matrix is a diagonal matrix
113  // with each element the inverse of the original.)
114 
115  // In function 'weightMatrix()', the variable 'matrix' is filled with this
116  // block-diagonal overall covariance matrix. Then 'matrix' is inverted to the
117  // block-diagonal error matrix, and returned.
118 
119  // Define the matrix A as
120  // 1 0 z1 0
121  // 0 1 0 z1
122  // 1 0 z2 0
123  // 0 1 0 z2
124  // .. .. .. ..
125  // 1 0 zn 0
126  // 0 1 0 zn
127 
128  // This matrix A is set up and returned by function 'derivativeMatrix()'.
129 
130  // Then the normal equations are described by the matrix equation
131  //
132  // (AT E A)p = (AT E)m
133  //
134  // where AT is the transpose of A.
135 
136  // Call the combined matrix on the LHS, M, and that on the RHS, B:
137  // M p = B
138 
139  // We solve this for the parameter vector, p.
140  // The elements of M and B then involve sums over the hits
141 
142  // The covariance matrix of the parameters is obtained by
143  // (AT E A)^-1 calculated in 'covarianceMatrix()'.
144 
145  // NOTE
146  // We need local position of a RecHit w.r.t. the CHAMBER
147  // and the RecHit itself only knows its local position w.r.t.
148  // the LAYER, so we must explicitly transform global position.
149 
150  SMatrix4 M; // 4x4, init to 0
151  SVector4 B; // 4x1, init to 0;
152 
153  CSCSetOfHits::const_iterator ih = hits_.begin();
154 
155  for (ih = hits_.begin(); ih != hits_.end(); ++ih) {
156  const CSCRecHit2D& hit = (**ih);
157  const CSCLayer* layer = chamber()->layer(hit.cscDetId().layer());
158  GlobalPoint gp = layer->toGlobal(hit.localPosition());
159  LocalPoint lp = chamber()->toLocal(gp);
160 
161  // Local position of hit w.r.t. chamber
162  double u = lp.x();
163  double v = lp.y();
164  double z = lp.z();
165 
166  // Covariance matrix of local errors
167  SMatrixSym2 IC; // 2x2, init to 0
168 
169  IC(0, 0) = hit.localPositionError().xx();
170  IC(1, 1) = hit.localPositionError().yy();
171  //@@ NOT SURE WHICH OFF-DIAGONAL ELEMENT MUST BE DEFINED BUT (1,0) WORKS
172  //@@ (and SMatrix enforces symmetry)
173  IC(1, 0) = hit.localPositionError().xy();
174  // IC(0,1) = IC(1,0);
175 
176  // Invert covariance matrix (and trap if it fails!)
177  bool ok = IC.Invert();
178  if (!ok) {
179  edm::LogVerbatim("CSCSegment|CSCSegFit") << "[CSCSegFit::fit] Failed to invert covariance matrix: \n" << IC;
180  // return ok; //@@ SHOULD PASS THIS BACK TO CALLER?
181  }
182 
183  M(0, 0) += IC(0, 0);
184  M(0, 1) += IC(0, 1);
185  M(0, 2) += IC(0, 0) * z;
186  M(0, 3) += IC(0, 1) * z;
187  B(0) += u * IC(0, 0) + v * IC(0, 1);
188 
189  M(1, 0) += IC(1, 0);
190  M(1, 1) += IC(1, 1);
191  M(1, 2) += IC(1, 0) * z;
192  M(1, 3) += IC(1, 1) * z;
193  B(1) += u * IC(1, 0) + v * IC(1, 1);
194 
195  M(2, 0) += IC(0, 0) * z;
196  M(2, 1) += IC(0, 1) * z;
197  M(2, 2) += IC(0, 0) * z * z;
198  M(2, 3) += IC(0, 1) * z * z;
199  B(2) += (u * IC(0, 0) + v * IC(0, 1)) * z;
200 
201  M(3, 0) += IC(1, 0) * z;
202  M(3, 1) += IC(1, 1) * z;
203  M(3, 2) += IC(1, 0) * z * z;
204  M(3, 3) += IC(1, 1) * z * z;
205  B(3) += (u * IC(1, 0) + v * IC(1, 1)) * z;
206  }
207 
208  SVector4 p;
209  bool ok = M.Invert();
210  if (!ok) {
211  edm::LogVerbatim("CSCSegment|CSCSegFit") << "[CSCSegFit::fit] Failed to invert matrix: \n" << M;
212  // return ok; //@@ SHOULD PASS THIS BACK TO CALLER?
213  } else {
214  p = M * B;
215  }
216 
217  // LogTrace("CSCSegFit") << "[CSCSegFit::fit] p = "
218  // << p(0) << ", " << p(1) << ", " << p(2) << ", " << p(3);
219 
220  // fill member variables (note origin has local z = 0)
221  // intercept_
222  intercept_ = LocalPoint(p(0), p(1), 0.);
223 
224  // localdir_ - set so segment points outwards from IP
225  uslope_ = p(2);
226  vslope_ = p(3);
227  setOutFromIP();
228 
229  // calculate chi2 of fit
230  setChi2();
231 
232  // flag fit has been done
233  fitdone_ = true;
234 }
Log< level::Info, true > LogVerbatim
LocalPoint intercept_
Definition: CSCSegFit.h:112
const CSCLayer * layer(CSCDetId id) const
Return the layer corresponding to the given id.
Definition: CSCChamber.cc:30
Point3DBase< Scalar, LocalTag > LocalPoint
Definition: Definitions.h:30
Definition: APVGainStruct.h:7
LocalPoint toLocal(const GlobalPoint &gp) const
Conversion to the R.F. of the GeomDet.
Definition: GeomDet.h:58
T z() const
Definition: PV3DBase.h:61
float vslope_
Definition: CSCSegFit.h:111
ROOT::Math::SVector< double, 4 > SVector4
Definition: CSCSegFit.h:50
ROOT::Math::SMatrix< double, 2, 2, ROOT::Math::MatRepSym< double, 2 > > SMatrixSym2
Definition: CSCSegFit.h:47
constexpr std::array< uint8_t, layerIndexSize > layer
T x() const
Definition: PV3DBase.h:59
T y() const
Definition: PV3DBase.h:60
const CSCChamber * chamber() const
Definition: CSCSegFit.h:86
bool fitdone_
Definition: CSCSegFit.h:117
ROOT::Math::SMatrix< double, 4 > SMatrix4
Definition: CSCSegFit.h:43
CSCSetOfHits hits_
Definition: CSCSegFit.h:109
void setOutFromIP(void)
Definition: CSCSegFit.cc:331
float uslope_
Definition: CSCSegFit.h:110
void setChi2(void)
Definition: CSCSegFit.cc:236

◆ flipErrors()

AlgebraicSymMatrix CSCSegFit::flipErrors ( const SMatrixSym4 a)
protected

Definition at line 378 of file CSCSegFit.cc.

References a, mps_fire::i, and dqmiolumiharvest::j.

Referenced by covarianceMatrix().

378  {
379  // The CSCSegment needs the error matrix re-arranged to match
380  // parameters in order (uz, vz, u0, v0)
381  // where uz, vz = slopes, u0, v0 = intercepts
382 
383  // LogTrace("CSCSegFit") << "[CSCSegFit::flipErrors] input: \n" << a;
384 
385  AlgebraicSymMatrix hold(4, 0.);
386 
387  for (short j = 0; j != 4; ++j) {
388  for (short i = 0; i != 4; ++i) {
389  hold(i + 1, j + 1) = a(i, j); // SMatrix counts from 0, AlgebraicMatrix from 1
390  }
391  }
392 
393  // LogTrace("CSCSegFit") << "[CSCSegFit::flipErrors] after copy:";
394  // LogTrace("CSCSegFit") << "(" << hold(1,1) << " " << hold(1,2) << " " << hold(1,3) << " " << hold(1,4);
395  // LogTrace("CSCSegFit") << " " << hold(2,1) << " " << hold(2,2) << " " << hold(2,3) << " " << hold(2,4);
396  // LogTrace("CSCSegFit") << " " << hold(3,1) << " " << hold(3,2) << " " << hold(3,3) << " " << hold(3,4);
397  // LogTrace("CSCSegFit") << " " << hold(4,1) << " " << hold(4,2) << " " << hold(4,3) << " " << hold(4,4) << ")";
398 
399  // errors on slopes into upper left
400  hold(1, 1) = a(2, 2);
401  hold(1, 2) = a(2, 3);
402  hold(2, 1) = a(3, 2);
403  hold(2, 2) = a(3, 3);
404 
405  // errors on positions into lower right
406  hold(3, 3) = a(0, 0);
407  hold(3, 4) = a(0, 1);
408  hold(4, 3) = a(1, 0);
409  hold(4, 4) = a(1, 1);
410 
411  // must also interchange off-diagonal elements of off-diagonal 2x2 submatrices
412  hold(4, 1) = a(1, 2);
413  hold(3, 2) = a(0, 3);
414  hold(2, 3) = a(3, 0); // = a(0,3)
415  hold(1, 4) = a(2, 1); // = a(1,2)
416 
417  // LogTrace("CSCSegFit") << "[CSCSegFit::flipErrors] after flip:";
418  // LogTrace("CSCSegFit") << "(" << hold(1,1) << " " << hold(1,2) << " " << hold(1,3) << " " << hold(1,4);
419  // LogTrace("CSCSegFit") << " " << hold(2,1) << " " << hold(2,2) << " " << hold(2,3) << " " << hold(2,4);
420  // LogTrace("CSCSegFit") << " " << hold(3,1) << " " << hold(3,2) << " " << hold(3,3) << " " << hold(3,4);
421  // LogTrace("CSCSegFit") << " " << hold(4,1) << " " << hold(4,2) << " " << hold(4,3) << " " << hold(4,4) << ")";
422 
423  return hold;
424 }
double a
Definition: hdecay.h:119
CLHEP::HepSymMatrix AlgebraicSymMatrix

◆ hits()

CSCSetOfHits CSCSegFit::hits ( void  ) const
inline

Definition at line 79 of file CSCSegFit.h.

References hits_.

Referenced by CSCSegAlgoTC::buildSegments(), CSCSegAlgoDF::buildSegments(), CSCSegAlgoSK::buildSegments(), and CSCSegAlgoShowering::showerSeg().

79 { return hits_; }
CSCSetOfHits hits_
Definition: CSCSegFit.h:109

◆ intercept()

LocalPoint CSCSegFit::intercept ( ) const
inline

◆ localdir()

LocalVector CSCSegFit::localdir ( ) const
inline

◆ ndof()

int CSCSegFit::ndof ( void  ) const
inline

◆ nhits()

size_t CSCSegFit::nhits ( void  ) const
inline

Definition at line 81 of file CSCSegFit.h.

References hits_.

Referenced by CSCSegAlgoST::buildSegments(), fit(), and CSCSegAlgoShowering::showerSeg().

81 { return hits_.size(); }
CSCSetOfHits hits_
Definition: CSCSegFit.h:109

◆ Rdev()

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

Definition at line 438 of file CSCSegFit.cc.

References mathSSE::sqrt(), x, xdev(), y, ydev(), and z.

Referenced by CSCSegAlgoShowering::pruneFromResidual(), and CSCSegAlgoDF::pruneFromResidual().

438  {
439  return sqrt(xdev(x, z) * xdev(x, z) + ydev(y, z) * ydev(y, z));
440 }
float ydev(float y, float z) const
Definition: CSCSegFit.cc:436
T sqrt(T t)
Definition: SSEVec.h:19
float xdev(float x, float z) const
Definition: CSCSegFit.cc:434

◆ scaleXError()

double CSCSegFit::scaleXError ( void  ) const
inline

Definition at line 80 of file CSCSegFit.h.

References scaleXError_.

Referenced by CSCSegAlgoST::buildSegments(), CSCSegAlgoST::prune_bad_hits(), and weightMatrix().

80 { return scaleXError_; }
double scaleXError_
Definition: CSCSegFit.h:116

◆ setChi2()

void CSCSegFit::setChi2 ( void  )
private

Definition at line 236 of file CSCSegFit.cc.

References chamber(), chi2_, runTauDisplay::gp, hits_, intercept_, CSCChamber::layer(), phase1PixelTopology::layer, ndof_, convertSQLiteXML::ok, GeomDet::toLocal(), uslope_, findQualityFiles::v, vslope_, PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), z, and PV3DBase< T, PVType, FrameType >::z().

Referenced by CSCCondSegFit::fit(), and fitlsq().

236  {
237  double chsq = 0.;
238 
239  CSCSetOfHits::const_iterator ih;
240  for (ih = hits_.begin(); ih != hits_.end(); ++ih) {
241  const CSCRecHit2D& hit = (**ih);
242  const CSCLayer* layer = chamber()->layer(hit.cscDetId().layer());
243  GlobalPoint gp = layer->toGlobal(hit.localPosition());
244  LocalPoint lp = chamber()->toLocal(gp);
245 
246  double u = lp.x();
247  double v = lp.y();
248  double z = lp.z();
249 
250  double du = intercept_.x() + uslope_ * z - u;
251  double dv = intercept_.y() + vslope_ * z - v;
252 
253  // LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] u, v, z = " << u << ", " << v << ", " << z;
254 
255  SMatrixSym2 IC; // 2x2, init to 0
256 
257  IC(0, 0) = hit.localPositionError().xx();
258  // IC(0,1) = hit.localPositionError().xy();
259  IC(1, 0) = hit.localPositionError().xy();
260  IC(1, 1) = hit.localPositionError().yy();
261  // IC(1,0) = IC(0,1);
262 
263  // LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] IC before = \n" << IC;
264 
265  // Invert covariance matrix
266  bool ok = IC.Invert();
267  if (!ok) {
268  edm::LogVerbatim("CSCSegment|CSCSegFit") << "[CSCSegFit::setChi2] Failed to invert covariance matrix: \n" << IC;
269  // return ok;
270  }
271  // LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] IC after = \n" << IC;
272  chsq += du * du * IC(0, 0) + 2. * du * dv * IC(0, 1) + dv * dv * IC(1, 1);
273  }
274 
275  // fill member variables
276  chi2_ = chsq;
277  ndof_ = 2. * hits_.size() - 4;
278 
279  // LogTrace("CSCSegFit") << "[CSCSegFit::setChi2] chi2 = " << chi2_ << "/" << ndof_ << " dof";
280 }
Log< level::Info, true > LogVerbatim
LocalPoint intercept_
Definition: CSCSegFit.h:112
const CSCLayer * layer(CSCDetId id) const
Return the layer corresponding to the given id.
Definition: CSCChamber.cc:30
LocalPoint toLocal(const GlobalPoint &gp) const
Conversion to the R.F. of the GeomDet.
Definition: GeomDet.h:58
T z() const
Definition: PV3DBase.h:61
double chi2_
Definition: CSCSegFit.h:114
float vslope_
Definition: CSCSegFit.h:111
ROOT::Math::SMatrix< double, 2, 2, ROOT::Math::MatRepSym< double, 2 > > SMatrixSym2
Definition: CSCSegFit.h:47
constexpr std::array< uint8_t, layerIndexSize > layer
T x() const
Definition: PV3DBase.h:59
T y() const
Definition: PV3DBase.h:60
const CSCChamber * chamber() const
Definition: CSCSegFit.h:86
CSCSetOfHits hits_
Definition: CSCSegFit.h:109
float uslope_
Definition: CSCSegFit.h:110
int ndof_
Definition: CSCSegFit.h:115

◆ setOutFromIP()

void CSCSegFit::setOutFromIP ( void  )
protected

Definition at line 331 of file CSCSegFit.cc.

References chamber(), PVValHelper::dx, dxdz, PVValHelper::dy, dydz, PVValHelper::dz, intercept_, localdir_, mathSSE::sqrt(), GeomDet::toGlobal(), unit(), uslope_, vslope_, and z.

Referenced by CSCCondSegFit::fit(), fit2(), and fitlsq().

331  {
332  // Set direction of segment to point from IP outwards
333  // (Incorrect for particles not coming from IP, of course.)
334 
335  double dxdz = uslope_;
336  double dydz = vslope_;
337  double dz = 1. / sqrt(1. + dxdz * dxdz + dydz * dydz);
338  double dx = dz * dxdz;
339  double dy = dz * dydz;
340  LocalVector localDir(dx, dy, dz);
341 
342  // localDir sometimes needs a sign flip
343  // Examine its direction and origin in global z: to point outward
344  // the localDir should always have same sign as global z...
345 
346  double globalZpos = (chamber()->toGlobal(intercept_)).z();
347  double globalZdir = (chamber()->toGlobal(localDir)).z();
348  double directionSign = globalZpos * globalZdir;
349  localdir_ = (directionSign * localDir).unit();
350 }
LocalPoint intercept_
Definition: CSCSegFit.h:112
float dydz
LocalVector localdir_
Definition: CSCSegFit.h:113
float dxdz
float vslope_
Definition: CSCSegFit.h:111
const CSCChamber * chamber() const
Definition: CSCSegFit.h:86
T sqrt(T t)
Definition: SSEVec.h:19
Basic3DVector unit() const
GlobalPoint toGlobal(const Local2DPoint &lp) const
Conversion to the global R.F. from the R.F. of the GeomDet.
Definition: GeomDet.h:49
float uslope_
Definition: CSCSegFit.h:110

◆ setScaleXError()

void CSCSegFit::setScaleXError ( double  factor)
inline

◆ weightMatrix()

CSCSegFit::SMatrixSym12 CSCSegFit::weightMatrix ( void  )
protected

Definition at line 282 of file CSCSegFit.cc.

References hits_, makeMuonMisalignmentScenario::matrix, convertSQLiteXML::ok, and scaleXError().

Referenced by covarianceMatrix().

282  {
283  bool ok = true;
284 
285  SMatrixSym12 matrix = ROOT::Math::SMatrixIdentity(); // 12x12, init to 1's on diag
286 
287  int row = 0;
288 
289  for (CSCSetOfHits::const_iterator it = hits_.begin(); it != hits_.end(); ++it) {
290  const CSCRecHit2D& hit = (**it);
291 
292  // Note scaleXError allows rescaling the x error if necessary
293 
294  matrix(row, row) = scaleXError() * hit.localPositionError().xx();
295  matrix(row, row + 1) = hit.localPositionError().xy();
296  ++row;
297  matrix(row, row - 1) = hit.localPositionError().xy();
298  matrix(row, row) = hit.localPositionError().yy();
299  ++row;
300  }
301 
302  ok = matrix.Invert(); // invert in place
303  if (!ok) {
304  edm::LogVerbatim("CSCSegment|CSCSegFit") << "[CSCSegFit::weightMatrix] Failed to invert matrix: \n" << matrix;
305  // return ok; //@@ SHOULD PASS THIS BACK TO CALLER?
306  }
307  return matrix;
308 }
ROOT::Math::SMatrix< double, 12, 12, ROOT::Math::MatRepSym< double, 12 > > SMatrixSym12
Definition: CSCSegFit.h:37
Log< level::Info, true > LogVerbatim
CSCSetOfHits hits_
Definition: CSCSegFit.h:109
double scaleXError(void) const
Definition: CSCSegFit.h:80

◆ xdev()

float CSCSegFit::xdev ( float  x,
float  z 
) const

Definition at line 434 of file CSCSegFit.cc.

References intercept_, uslope_, x, PV3DBase< T, PVType, FrameType >::x(), and z.

Referenced by Rdev().

434 { return intercept_.x() + uslope_ * z - x; }
LocalPoint intercept_
Definition: CSCSegFit.h:112
T x() const
Definition: PV3DBase.h:59
float uslope_
Definition: CSCSegFit.h:110

◆ xfit()

float CSCSegFit::xfit ( float  z) const

Definition at line 426 of file CSCSegFit.cc.

References intercept_, uslope_, PV3DBase< T, PVType, FrameType >::x(), and z.

Referenced by CSCSegAlgoShowering::isHitNearSegment(), and CSCSegAlgoDF::isHitNearSegment().

426  {
427  //@@ ADD THIS TO EACH ACCESSOR OF FIT RESULTS?
428  // if ( !fitdone() ) fit();
429  return intercept_.x() + uslope_ * z;
430 }
LocalPoint intercept_
Definition: CSCSegFit.h:112
T x() const
Definition: PV3DBase.h:59
float uslope_
Definition: CSCSegFit.h:110

◆ ydev()

float CSCSegFit::ydev ( float  y,
float  z 
) const

Definition at line 436 of file CSCSegFit.cc.

References intercept_, vslope_, y, PV3DBase< T, PVType, FrameType >::y(), and z.

Referenced by Rdev().

436 { return intercept_.y() + vslope_ * z - y; }
LocalPoint intercept_
Definition: CSCSegFit.h:112
float vslope_
Definition: CSCSegFit.h:111
T y() const
Definition: PV3DBase.h:60

◆ yfit()

float CSCSegFit::yfit ( float  z) const

Definition at line 432 of file CSCSegFit.cc.

References intercept_, vslope_, PV3DBase< T, PVType, FrameType >::y(), and z.

Referenced by CSCSegAlgoShowering::isHitNearSegment(), and CSCSegAlgoDF::isHitNearSegment().

432 { return intercept_.y() + vslope_ * z; }
LocalPoint intercept_
Definition: CSCSegFit.h:112
float vslope_
Definition: CSCSegFit.h:111
T y() const
Definition: PV3DBase.h:60

Member Data Documentation

◆ chamber_

const CSCChamber* CSCSegFit::chamber_
protected

Definition at line 108 of file CSCSegFit.h.

Referenced by chamber().

◆ chi2_

double CSCSegFit::chi2_
protected

Definition at line 114 of file CSCSegFit.h.

Referenced by chi2(), fit2(), CSCCondSegFit::setChi2(), and setChi2().

◆ fitdone_

bool CSCSegFit::fitdone_
protected

Definition at line 117 of file CSCSegFit.h.

Referenced by fit2(), fitdone(), and fitlsq().

◆ hits_

CSCSetOfHits CSCSegFit::hits_
protected

◆ intercept_

LocalPoint CSCSegFit::intercept_
protected

◆ localdir_

LocalVector CSCSegFit::localdir_
protected

Definition at line 113 of file CSCSegFit.h.

Referenced by localdir(), and setOutFromIP().

◆ ndof_

int CSCSegFit::ndof_
protected

Definition at line 115 of file CSCSegFit.h.

Referenced by fit2(), ndof(), CSCCondSegFit::setChi2(), and setChi2().

◆ scaleXError_

double CSCSegFit::scaleXError_
protected

Definition at line 116 of file CSCSegFit.h.

Referenced by scaleXError(), and setScaleXError().

◆ uslope_

float CSCSegFit::uslope_
protected

◆ vslope_

float CSCSegFit::vslope_
protected