/* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
* See cxx source for full Copyright notice */
+
/* $Id$ */
//-------------------------------------------------------
-// TPC trackerMI
+// TPC tracker
+// Parallel tracker
//
// Origin:
//-------------------------------------------------------
+
#include "AliTracker.h"
-#include "AliTPCtrack.h"
-#include "AliTPCClustersArray.h"
+#include "AliTPCreco.h"
+#include "AliTPCclusterMI.h"
+#include "AliTPCtrackerSector.h"
-#include "AliTPCreco.h"
-#include "Rtypes.h"
class TFile;
class AliTPCParam;
class AliTPCseed;
-class AliTPCclusterMI;
-class AliTPCTrackPoint;
-
-
-
-class AliTPCclusterTracks {
- public:
- AliTPCclusterTracks();
- Float_t fDistance[3]; // distance to the 3 nerest track if there overlap with cluster
- Short_t fTrackIndex[3]; // indexes of the tracks overlapped with clusters
-};
-
-class AliTPCseed;
-
-class AliTPCKalmanSegment: public TObject {
- //
- // class to store tracklet parameters
- // needed to probabilistically define track beginning and track end
- public:
- AliTPCKalmanSegment();
- void Init(AliTPCseed* seed); // in initialization initial entrance integral chi2, fNCFoundable and fNC stored
- void Finish(AliTPCseed* seed); // in finish state vector stored and chi2 and fNC... calculated
- void GetState(Double_t &x, Double_t & alpha, Double_t state[5]);
- void GetCovariance(Double_t covariance[15]);
- void GetStatistic(Int_t & nclusters, Int_t & nfoundable, Float_t & chi2);
- private:
- Float_t fX; // x - state
- Float_t fAlpha; // Rotation angle the local (TPC sector)
- Float_t fState[5]; // state vector
- Float_t fChi2; // chi2 - for given tracklet
- Float_t fCovariance[15]; // 15 elements of covariance matrix
- Int_t fNCFoundable; // number of foundable clusters on tracklet (effect of dead zone)
- Int_t fNC; // number of accepted clusters for tracklet
- // Int_t fN; // total number of padrows for given tracklet
- ClassDef(AliTPCKalmanSegment,1)
-};
-
-
-class AliTPCseed : public AliTPCtrack {
- public:
- AliTPCseed();
- virtual ~AliTPCseed();
- AliTPCseed(const AliTPCtrack &t);
- AliTPCseed(const AliKalmanTrack &t, Double_t a);
- Int_t Compare(const TObject *o) const;
- void Reset();
- Int_t GetProlongation(Double_t xr, Double_t &y, Double_t & z) const;
- virtual Double_t GetPredictedChi2(const AliTPCclusterMI *cluster) const;
- virtual Int_t Update(const AliTPCclusterMI* c, Double_t chi2, UInt_t i);
- AliTPCTrackPoint * GetTrackPoint(Int_t i);
- void RebuildSeed(); // rebuild seed to be ready for storing
- AliTPCseed(UInt_t index, const Double_t xx[5],
- const Double_t cc[15], Double_t xr, Double_t alpha);
- void SetClusterIndex(Int_t index){
- fClusterIndex[fRow] = index;
- }
- void SetErrorY2(Float_t sy2){fErrorY2=sy2;}
- void SetErrorZ2(Float_t sz2){fErrorZ2=sz2;}
- void CookdEdx(Double_t low=0.05, Double_t up=0.70);
- Bool_t IsActive(){ return !(fRemoval);}
- void Desactivate(Int_t reason){ fRemoval = reason;}
-
- // Float_t GetRadius(){ return (1-fP2)/fP4;}
- Int_t fRelativeSector; // ! index of current relative sector
- Int_t fClusterIndex[200]; //array of cluster indexes
- Float_t fClusterDensity[16]; //array with cluster densities
-
- Int_t fRemoval; //reason - why was track removed - 0 - means still active
- TClonesArray * fPoints; // array with points along the track
- TClonesArray * fEPoints; // array with exact points - calculated in special macro not used in tracking
- Int_t fRow; //!current row number
- Int_t fSector; //!current sector number
- Float_t fCurrentSigmaY; //!expected current cluster sigma Y
- Float_t fCurrentSigmaZ; //!expected current cluster sigma Z
- AliTPCclusterMI * fCurrentCluster; //!pointer to the current cluster for prolongation
- Int_t fCurrentClusterIndex1; //! index of the current cluster
- Int_t fCurrentClusterIndex2; //! index of the current cluster
-
- Float_t fErrorY2; //!sigma of current cluster
- Float_t fErrorZ2; //!sigma of current cluster
- Int_t fNFoundable; //number of foundable clusters - dead zone taken to the account
- Bool_t fInDead; // indicate if the track is in dead zone
- Int_t fFirstPoint; // first cluster position
- Int_t fLastPoint; // last cluster position
- Int_t fNShared; // number of shared points
- Bool_t fIsSeeding; //indicates if it is proces of seeading
- Bool_t fStopped; // indicate that track cann't be prolongate anymore (for secondaries)
- private:
- Float_t fSdEdx; // sigma of dedx
- Float_t fMAngular; // mean angular factor
- AliTPCTrackPoint ** fTrackPoints; //!track points - array track points
- Float_t fDEDX[4]; // dedx according padrows
- Float_t fSDEDX[4]; // sdedx according padrows
- Int_t fNCDEDX[4]; // number of clusters for dedx measurment
-
- ClassDef(AliTPCseed,1)
-};
-
+class AliTPCTrackerPoint;
+class AliESDEvent;
+class TTree;
+class AliESDkink;
+class TTreeSRedirector;
+class AliTrackPoint;
class AliTPCtrackerMI : public AliTracker {
public:
- AliTPCtrackerMI():AliTracker(),fkNIS(0),fkNOS(0) {
- fInnerSec=fOuterSec=0; fSeeds=0;
- }
- AliTPCtrackerMI(const AliTPCParam *par, Int_t eventn=0);
- ~AliTPCtrackerMI();
-
+ AliTPCtrackerMI();
+ AliTPCtrackerMI(const AliTPCParam *par);
+ virtual ~AliTPCtrackerMI();
+ //
+ void SetIteration(Int_t iteration){fIteration = iteration;}
+ virtual Int_t Clusters2Tracks (AliESDEvent *const esd);
+ virtual Int_t RefitInward (AliESDEvent *esd);
+ virtual Int_t LoadClusters (TTree * const tree);
+ virtual Int_t LoadClusters (const TObjArray * arr); // another input
+ virtual Int_t LoadClusters (const TClonesArray * arr); // another input
+ Int_t LoadClusters();
+ void UnloadClusters();
+ Int_t LoadInnerSectors();
+ Int_t LoadOuterSectors();
+ virtual void FillClusterArray(TObjArray* array) const;
+ void Transform(AliTPCclusterMI * cluster);
+ //
+ void FillESD(const TObjArray* arr);
+ void DeleteSeeds();
+ void SetDebug(Int_t debug){ fDebug = debug;}
+ void FindKinks(TObjArray * array, AliESDEvent * esd);
+ //
+ void FindCurling(const TObjArray * array, AliESDEvent * esd, Int_t iter);
+ void FindSplitted(TObjArray * array, AliESDEvent * esd, Int_t iter);
+ void FindMultiMC(const TObjArray * array, AliESDEvent * esd, Int_t iter);
+ //
+ void UpdateKinkQualityM(AliTPCseed * seed);
+ void UpdateKinkQualityD(AliTPCseed * seed);
+ Int_t CheckKinkPoint(AliTPCseed*seed, AliTPCseed &mother, AliTPCseed &daughter, const AliESDkink &kink);
+ Int_t RefitKink(AliTPCseed &mother, AliTPCseed &daughter, const AliESDkink &kink);
Int_t ReadSeeds(const TFile *in);
- Int_t LoadClusters();
- void UnloadClusters();
-
- void LoadInnerSectors();
- void LoadOuterSectors();
- AliCluster * GetCluster (int) const {return 0;}
+ TObjArray * GetSeeds() const {return fSeeds;}
+ //
+ AliCluster * GetCluster(Int_t index) const {return (AliCluster*)GetClusterMI(index);}
AliTPCclusterMI *GetClusterMI(Int_t index) const;
- Int_t Clusters2Tracks(const TFile *in, TFile *out);
- // Int_t PropagateBack(const TFile *in, TFile *out);
-
- virtual void CookLabel(AliKalmanTrack *t,Float_t wrong) const;
+ Int_t Clusters2Tracks();
+ virtual void CookLabel(AliKalmanTrack *tk,Float_t wrong) const;
+ virtual Int_t CookLabel(AliTPCseed *const t,Float_t wrong, Int_t first,Int_t last ) const;
+
void RotateToLocal(AliTPCseed *seed);
- virtual Double_t ErrY2(AliTPCseed* seed, AliTPCclusterMI * cl = 0);
- virtual Double_t ErrZ2(AliTPCseed* seed, AliTPCclusterMI * cl = 0);
-
- Double_t f1(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t x3,Double_t y3);
- Double_t f2(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t x3,Double_t y3);
- Double_t f3(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t z1,Double_t z2);
-public:
-//**************** Internal tracker class **********************
- class AliTPCRow {
- public:
- AliTPCRow() {fN=0; fClusterTracks=0;}
- ~AliTPCRow();
- void InsertCluster(const AliTPCclusterMI *c, UInt_t index);
- operator int() const {return fN;}
- const AliTPCclusterMI* operator[](Int_t i) const {return fClusters[i];}
- UInt_t GetIndex(Int_t i) const {return fIndex[i];}
- Int_t Find(Double_t z) const;
- AliTPCclusterMI * FindNearest(Double_t y, Double_t z, Double_t roady, Double_t roadz) const;
- void SetX(Double_t x) {fX=x;}
- Double_t GetX() const {return fX;}
- AliTPCclusterTracks * GetClusterTracks(Int_t index){ return ( (index<fN) && fClusterTracks!=0)? &(fClusterTracks[index]):0;}
- void UpdateClusterTrack(Int_t clindex, Int_t trindex,AliTPCseed * seed);
- void MakeClusterTracks();
- void ClearClusterTracks();
- Float_t fDeadZone; // the width of the dead zone
- private:
- Int_t fN; //number of clusters
- const AliTPCclusterMI *fClusters[kMaxClusterPerRow]; //pointers to clusters
- UInt_t fIndex[kMaxClusterPerRow]; //indeces of clusters
- Double_t fX; //X-coordinate of this row
- AliTPCclusterTracks * fClusterTracks; // array of cluster tracks - for overlap calculation
- private:
- AliTPCRow(const AliTPCRow& r); //dummy copy constructor
- AliTPCRow &operator=(const AliTPCRow& r); //dummy assignment operator
- };
-
-//**************** Internal tracker class **********************
- class AliTPCSector {
- public:
- AliTPCSector() { fN=0; fRow = 0; }
- ~AliTPCSector() { delete[] fRow; }
- AliTPCRow& operator[](Int_t i) const { return *(fRow+i); }
- Int_t GetNRows() const { return fN; }
- void Setup(const AliTPCParam *par, Int_t flag);
- Double_t GetX(Int_t l) const {return fRow[l].GetX();}
- Double_t GetMaxY(Int_t l) const {
- return GetX(l)*TMath::Tan(0.5*GetAlpha());
- }
- Double_t GetAlpha() const {return fAlpha;}
- Double_t GetAlphaShift() const {return fAlphaShift;}
- Int_t GetRowNumber(Double_t x) const {
- //return pad row number for this x
- Double_t r;
- if (fN < 64){
- r=fRow[fN-1].GetX();
- if (x > r) return fN;
- r=fRow[0].GetX();
- if (x < r) return -1;
- return Int_t((x-r)/fPadPitchLength + 0.5);}
- else{
- r=fRow[fN-1].GetX();
- if (x > r) return fN;
- r=fRow[0].GetX();
- if (x < r) return -1;
- Double_t r1=fRow[64].GetX();
- if(x<r1){
- return Int_t((x-r)/f1PadPitchLength + 0.5);}
- else{
- return (Int_t((x-r1)/f2PadPitchLength + 0.5)+64);}
- }
- }
- Double_t GetPadPitchWidth() const {return fPadPitchWidth;}
- Double_t GetPadPitchLength() const {return fPadPitchLength;}
- Double_t GetPadPitchLength(Float_t x) const {return (x<200) ? fPadPitchLength:f2PadPitchLength ;}
-
- private:
- Int_t fN; //number of pad rows
- AliTPCRow *fRow; //array of pad rows
- Double_t fAlpha; //opening angle
- Double_t fAlphaShift; //shift angle;
- Double_t fPadPitchWidth; //pad pitch width
- Double_t fPadPitchLength; //pad pitch length
- Double_t f1PadPitchLength; //pad pitch length
- Double_t f2PadPitchLength; //pad pitch length
-
- private:
- AliTPCSector(const AliTPCSector &s); //dummy copy contructor
- AliTPCSector& operator=(const AliTPCSector &s);//dummy assignment operator
- };
-
- Float_t OverlapFactor(AliTPCseed * s1, AliTPCseed * s2, Int_t &sum1, Int_t &sum2);
- void SignShared(AliTPCseed * s1, AliTPCseed * s2);
- void RemoveOverlap(TObjArray * arr, Float_t factor, Int_t removalindex, Bool_t shared=kFALSE);
- void RemoveUsed(TObjArray * arr, Float_t factor, Int_t removalindex);
+
+ Int_t FollowProlongation(AliTPCseed& t, Int_t rf=0, Int_t step=1);
+ Bool_t GetTrackPoint(Int_t index, AliTrackPoint &p ) const;
-private:
- Float_t GetSigmaY(AliTPCseed * seed);
- Float_t GetSigmaZ(AliTPCseed * seed);
+ Int_t FollowBackProlongation(AliTPCseed& t, Int_t rf);
+ Int_t FollowToNext(AliTPCseed& t, Int_t nr);
+ Int_t UpdateClusters(AliTPCseed& t, Int_t nr);
+ Int_t FollowToNextCluster( AliTPCseed& t, Int_t nr);
+
+ Int_t PropagateBack(const TObjArray *const arr);
+ Int_t PropagateBack(AliESDEvent * event);
+ Int_t PropagateBack(AliTPCseed *const pt, Int_t row0, Int_t row1);
+ Int_t PropagateForward();
+ Int_t PropagateForward2(const TObjArray *const arr);
+
+ void SortTracks(TObjArray * arr, Int_t mode) const;
+
+ virtual Double_t ErrY2(AliTPCseed* seed, const AliTPCclusterMI * cl = 0);
+ virtual Double_t ErrZ2(AliTPCseed* seed, const AliTPCclusterMI * cl = 0);
+
+ Double_t F1(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t x3,Double_t y3) const;
+ Double_t F1old(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t x3,Double_t y3) const;
+ Double_t F2(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t x3,Double_t y3) const;
+ Double_t F2old(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t x3,Double_t y3) const;
+
+ Double_t F3(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t z1,Double_t z2) const;
+ Double_t F3n(Double_t x1,Double_t y1, Double_t x2,Double_t y2, Double_t z1,Double_t z2,
+ Double_t c) const;
+ Bool_t GetProlongation(Double_t x1, Double_t x2, Double_t x[5], Double_t &y, Double_t &z) const;
- void MakeSeeds(TObjArray * arr, Int_t sec, Int_t i1, Int_t i2);
- void MakeSeeds2(TObjArray * arr, Int_t sec, Int_t i1, Int_t i2);
+ public:
- TObjArray * MakeSeedsSectors(Int_t sec1, Int_t sec2); // make seeds from all sectors
- void MakeSeedsAll();
- Int_t FollowProlongation(AliTPCseed& t, Int_t rf=0);
- //Int_t FollowProlongationFast(AliTPCseed& t, Int_t step);
- Int_t FollowBackProlongation(AliTPCseed& t, Int_t rf=0);
- Int_t FollowToNext(AliTPCseed& t, Int_t nr);
- Int_t UpdateClusters(AliTPCseed& t, Int_t trindex, Int_t nr);
- Int_t FollowToNextCluster( Int_t trindex, Int_t nr);
+ Float_t OverlapFactor(AliTPCseed * s1, AliTPCseed * s2, Int_t &sum1, Int_t &sum2);
+ void SignShared(AliTPCseed * s1, AliTPCseed * s2);
+ void SignShared(TObjArray * arr);
- virtual Int_t PropagateBack (const TFile *, TFile *){return 0;}
- void ParallelTracking(Int_t rfirst, Int_t rlast);
- void SetSampledEdx(AliTPCseed *t, Float_t q, Int_t i) {;}
- Int_t UpdateTrack(AliTPCseed *t,AliTPCclusterMI* c, Double_t chi2, UInt_t i); //update trackinfo
+ void RemoveUsed2(TObjArray * arr, Float_t factor1, Float_t factor2, Int_t minimal);
- // Int_t FollowBackProlongation(AliTPCseed &s, const AliTPCtrack &t);
+ void StopNotActive(const TObjArray * arr, Int_t row0, Float_t th0, Float_t th1, Float_t th2) const;
+ void StopNotActive(AliTPCseed * seed, Int_t row0, Float_t th0, Float_t th1, Float_t th2) const;
+ Int_t AcceptCluster(AliTPCseed * seed, AliTPCclusterMI * cluster);
- AliTPCtrackerMI(const AliTPCtrackerMI& r); //dummy copy constructor
- AliTPCtrackerMI &operator=(const AliTPCtrackerMI& r);//dummy assignment operator
+private:
+ Bool_t IsFindable(AliTPCseed & t);
+ AliTPCtrackerMI(const AliTPCtrackerMI& r); //dummy copy constructor
+ AliTPCtrackerMI &operator=(const AliTPCtrackerMI& r);//dummy assignment operator
+ void AddCovariance(AliTPCseed * seed); // add covariance
+ void AddCovarianceAdd(AliTPCseed * seed); // add covariance
+
+ inline AliTPCtrackerRow &GetRow(Int_t sec, Int_t row);
+ inline Bool_t IsActive(Int_t sec, Int_t row);
+ inline Double_t GetXrow(Int_t row) const;
+ inline Double_t GetMaxY(Int_t row) const;
+ inline Int_t GetRowNumber(Double_t x) const;
+ Int_t GetRowNumber(Double_t x[3]) const;
+ inline Double_t GetPadPitchLength(Double_t x) const;
+ inline Double_t GetPadPitchLength(Int_t row) const;
+
+ void GetShape(AliTPCseed * seed, Int_t row);
+
+ void ReadSeeds(const AliESDEvent *const event, Int_t direction); //read seeds from the event
+
+ void MakeSeeds3(TObjArray * arr, Int_t sec, Int_t i1, Int_t i2, Float_t cuts[4], Float_t deltay = -1, Int_t ddsec=0);
+ void MakeSeeds5(TObjArray * arr, Int_t sec, Int_t i1, Int_t i2, Float_t cuts[4], Float_t deltay = -1);
+
+ void MakeSeeds2(TObjArray * arr, Int_t sec, Int_t i1, Int_t i2, Float_t cuts[4], Float_t deltay = -1, Bool_t bconstrain=kTRUE);
+
+
+ AliTPCseed *MakeSeed(AliTPCseed *const track, Float_t r0, Float_t r1, Float_t r2); //reseed
+ AliTPCseed *ReSeed(const AliTPCseed *t, Float_t r0, Float_t r1, Float_t r2); //reseed
+ AliTPCseed *ReSeed(AliTPCseed *t, Int_t r0, Bool_t forward); //reseed
+
+
+
+ AliTPCseed * ReSeed(AliTPCseed *t);
+ //Int_t LoadInnerSectors();
+ //Int_t LoadOuterSectors();
+ void DumpClusters(Int_t iter, TObjArray *trackArray);
+ void UnsignClusters();
+ void SignClusters(const TObjArray * arr, Float_t fnumber=3., Float_t fdensity=2.);
+
+ void ParallelTracking(TObjArray *const arr, Int_t rfirst, Int_t rlast);
+ void Tracking(TObjArray * arr);
+ TObjArray * Tracking(Int_t seedtype, Int_t i1, Int_t i2, Float_t cuts[4], Float_t dy=-1, Int_t dsec=0);
+ TObjArray * Tracking();
+ TObjArray * TrackingSpecial();
+ void SumTracks(TObjArray *arr1,TObjArray *&arr2) const;
+ void PrepareForBackProlongation(const TObjArray *const arr, Float_t fac) const;
+ void PrepareForProlongation(TObjArray *const arr, Float_t fac) const;
+
+ Int_t UpdateTrack(AliTPCseed *t, Int_t accept); //update trackinfo
+
+ void MakeBitmaps(AliTPCseed *t);
const Int_t fkNIS; //number of inner sectors
- AliTPCSector *fInnerSec; //array of inner sectors;
+ AliTPCtrackerSector *fInnerSec; //array of inner sectors;
const Int_t fkNOS; //number of outer sectors
- AliTPCSector *fOuterSec; //array of outer sectors;
+ AliTPCtrackerSector *fOuterSec; //array of outer sectors;
Int_t fN; //number of loaded sectors
- AliTPCSector *fSectors; //pointer to loaded sectors;
-
- Int_t fEventN; //event number
- AliTPCClustersArray fClustersArray; //array of TPC clusters
+ AliTPCtrackerSector *fSectors; //pointer to loaded sectors;
+ //
+ TTree * fInput; // input tree with clusters
+ TTree * fOutput; // output tree with tracks
+ TTree * fSeedTree; // output tree with seeds - filled in debug mode 1
+ TTree * fTreeDebug; // output with a debug information about track
+ AliESDEvent * fEvent; // output with esd tracks
+ Int_t fDebug; // debug option
+ Bool_t fNewIO; // indicated if we have data using New IO
Int_t fNtracks; //current number of tracks
TObjArray *fSeeds; //array of track seeds
+ Int_t fIteration; // indicate iteration - 0 - froward -1 back - 2forward - back->forward
// TObjArray * fTrackPointPool; // ! pool with track points
- const AliTPCParam *fParam; //pointer to the parameters
+ // TObjArray * fSeedPool; //! pool with seeds
+ Double_t fXRow[200]; // radius of the pad row
+ Double_t fYMax[200]; // max y for given pad row
+ Double_t fPadLength[200]; // max y for given pad row
+ const AliTPCParam *fkParam; //pointer to the parameters
+ TTreeSRedirector *fDebugStreamer; //!debug streamer
+ ClassDef(AliTPCtrackerMI,2)
};
+
+AliTPCtrackerRow & AliTPCtrackerMI::GetRow(Int_t sec, Int_t row)
+{
+ //
+ return (row>=fInnerSec->GetNRows()) ? fOuterSec[sec][row-fInnerSec->GetNRows()]:fInnerSec[sec][row];
+}
+
+Bool_t AliTPCtrackerMI::IsActive(Int_t sec, Int_t row)
+{
+ //
+ // check if the given sector row is active
+ //
+ return (row>=fInnerSec->GetNRows()) ? fOuterSec[sec][row-fInnerSec->GetNRows()].GetN()>0:fInnerSec[sec][row].GetN()>0;
+}
+
+
+Double_t AliTPCtrackerMI::GetXrow(Int_t row) const {
+ // return (row>=fInnerSec->GetNRows()) ? fOuterSec->GetX(row-fInnerSec->GetNRows()):fInnerSec->GetX(row);
+ return fXRow[row];
+}
+
+Double_t AliTPCtrackerMI::GetMaxY(Int_t row) const {
+ //return (row>=fInnerSec->GetNRows()) ? fOuterSec->GetMaxY(row-fInnerSec->GetNRows()):fInnerSec->GetMaxY(row);
+ return fYMax[row];
+}
+
+Int_t AliTPCtrackerMI::GetRowNumber(Double_t x) const
+{
+ //
+ return (x>133.) ? fOuterSec->GetRowNumber(x)+fInnerSec->GetNRows():fInnerSec->GetRowNumber(x);
+}
+
+Double_t AliTPCtrackerMI::GetPadPitchLength(Double_t x) const
+{
+ //
+ return (x>133.) ? fOuterSec->GetPadPitchLength(x):fInnerSec->GetPadPitchLength(x);
+ //return fPadLength[row];
+}
+
+Double_t AliTPCtrackerMI::GetPadPitchLength(Int_t row) const
+{
+ //
+ return fPadLength[row];
+}
+
+
+
#endif