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6be22b3f 1/* Copyright(c) 2009-2011, ALICE Experiment at CERN, All rights reserved. *
2 * See cxx source for full Copyright notice */
3
4/* $Id$ */
5
6
7#ifndef ALIITSTPARRAYFIT_H
8#define ALIITSTPARRAYFIT_H
9
10///////////////////////////////////////////////////////////////////////////////////////////////
11// //
12// The line is defined by equations (1) //
13// a0*z+a1*x-a0*a1=0 and //
14// b0*z+b1*y-b0*b1=0 //
15// where x,y,z are NOT the lab axes but z is the lab axis along which the track //
16// has the largest lever arm and x,y are the remaining 2 axis in //
17// the order of fgkAxisID[z][0], fgkAxisID[z][1] //
18// The parameters are fParams[kA0,kB0,kA1,kB1] and the axis chosen as the independent //
19// var. is fParAxis (i.e. if fParAxis==kZ, then a0=ax,b0=bx, a1=ay,b1=by) //
20// //
21// //
22// The helix is defined by the equations (2) //
23// X(t) = (dr+R)*cos(phi0) - (R+sum{dRi})*cos(t+phi0) + sum{dRi*cos(phi0+ti)} //
24// Y(t) = (dr+R)*sin(phi0) - (R+sum{dRi})*sin(t+phi0) + sum{dRi*sin(phi0+ti)} //
25// Z(t) = dz - (R+sum{dRi})*t*tg(dip) + sum{dRi*ti}*tg(dip) //
26// where dRi is the change of the radius due to the ELoss at parameter ti //
27// //
28// Author: ruben.shahoyan@cern.ch //
29// //
30///////////////////////////////////////////////////////////////////////////////////////////////
31
32
33#include <TObject.h>
34#include <TMath.h>
35#include "AliTrackPointArray.h"
36class AliSymMatrix;
37class AliLog;
38class AliParamSolver;
39
40
41class AliITSTPArrayFit : public TObject
42{
43 public:
44 enum {kFitDoneBit=BIT(14),kCovInvBit=BIT(15),
45 kCosmicsBit=BIT(16),kELossBit=BIT(17),
46 kIgnoreCovBit=BIT(18),
47 kMask=BIT(24)-1};
8102b2c9 48 enum {kXX=0,kXY=1,kXZ=2,kYX=kXY,kYY=3,kYZ=4,kZX=kXZ,kZY=kYZ,kZZ=5,kScl=6,kNCov};
6be22b3f 49 enum {kA0,kB0,kA1,kB1}; // line params
50 enum {kD0,kPhi0,kR0,kDZ,kDip}; // helix params
51 enum {kX,kY,kZ};
52 enum {kMaxParam=6,kMaxParamSq = kMaxParam*(kMaxParam+1)/2};
53 enum {kLrBeamPime, kLrSPD1,kLrSPD2, kLrShield1, kLrSDD1,kLrSDD2, kLrShield2, kLrSSD1,kLrSSD2,kMaxLrITS};
54 //
55 public:
56 AliITSTPArrayFit();
57 AliITSTPArrayFit(Int_t npoints);
58 AliITSTPArrayFit(const AliITSTPArrayFit &fit);
59 AliITSTPArrayFit& operator= (const AliITSTPArrayFit& src);
60 virtual ~AliITSTPArrayFit();
61 //
62 void AttachPoints(const AliTrackPointArray* points, Int_t pfirst=-1,Int_t plast=-1);
63 Bool_t SetFirstLast(Int_t pfirst=-1,Int_t plast=-1);
24391cd5 64 AliTrackPointArray* GetPoints() const {return (AliTrackPointArray*)fkPoints;}
6be22b3f 65 //
66 void SetBz(Double_t bz) {fBz = bz;}
67 Double_t GetBz() const {return fBz;}
ef24eb3b 68 Bool_t IsHelix() const {return fParAxis<0;}
69 Bool_t IsFieldON() const {return TMath::Abs(fBz)>1e-5;}
6be22b3f 70 Bool_t IsTypeCosmics() const {return TestBit(kCosmicsBit);}
71 Bool_t IsTypeCollision() const {return !IsTypeCosmics();}
72 Int_t GetCharge() const {return fCharge;}
73 Int_t GetSignQB() const {return fBz<0 ? -fCharge:fCharge;}
74 void GetResiduals(Double_t *res, Int_t ipnt) const;
8102b2c9 75 void GetResiduals(Double_t *resPCA, const Double_t* xyz, const Double_t* covI=0, Double_t sclCovI=-1) const;
76 Double_t GetPosition( Double_t *xyzPCA, const Double_t* xyz, const Double_t* covI=0, Double_t sclCovI=-1) const;
ef24eb3b 77 Double_t GetPosition( Double_t *xyzPCA, const AliTrackPoint *pntCovInv,Bool_t useErr=kFALSE) const;
78 void GetResiduals(Double_t *xyzPCA, const AliTrackPoint *pntCovInv,Bool_t useErr=kFALSE) const;
6be22b3f 79 void GetPosition(Double_t *xyz, Double_t t) const;
80 void GetPosition(Double_t *xyz, Int_t pnt) const;
81 void GetDirCos(Double_t *dircos, Double_t t) const;
82 Double_t GetPCA2PlaneInfo(Double_t *xyz, Double_t *dir=0, Int_t axis=kY, Double_t axval=0) const;
66214d86 83 void GetT0Info(Double_t *xyz, Double_t *dir=0) const;
6be22b3f 84 Double_t CalcChi2NDF() const;
85 Double_t GetChi2NDF() const {return fChi2NDF;}
8102b2c9 86 Double_t GetParPCA(const double *xyz, const double *covI=0, Double_t sclCovI=-1) const;
1d06ac63 87 Double_t CalcParPCA(Int_t ipnt) const;
66214d86 88 Bool_t CalcErrorMatrix();
6be22b3f 89 //
8102b2c9 90 void GetDResDParamsLine (Double_t *dXYZdP, const Double_t *xyz, const Double_t *covI=0/*,Double_t sclCovI=-1*/) const;
6be22b3f 91 void GetDResDParamsLine (Double_t *dXYZdP, Int_t ipnt) const;
8102b2c9 92 void GetDResDParams(Double_t *dXYZdP, const Double_t *xyz, const Double_t *covI=0, Double_t sclCovI=-1);
6be22b3f 93 void GetDResDParams(Double_t *dXYZdP, Int_t ipnt);
94 //
8102b2c9 95 void GetDResDPosLine (Double_t *dXYZdP,/*const Double_t *xyz,*/ const Double_t *covI=0/*,Double_t sclCovI=-1*/) const;
6be22b3f 96 void GetDResDPosLine (Double_t *dXYZdP, Int_t ipnt) const;
8102b2c9 97 void GetDResDPos(Double_t *dXYZdP, const Double_t *xyz, const Double_t *covI=0, Double_t sclCovI=-1);
6be22b3f 98 void GetDResDPos(Double_t *dXYZdP, Int_t ipnt);
99 //
100 Double_t* GetPoint(int ip) const;
101 Bool_t Converged() const {return fIter<fMaxIter;}
102 //
103 Double_t Fit(Int_t extQ=0, Double_t extPT=-1,Double_t extPTerr=0);
104 Double_t FitLine();
105 Double_t FitHelix(Int_t extQ=0, Double_t extPT=-1,Double_t extPTerr=0);
106 Bool_t FitLineCrude();
107 Bool_t FitHelixCrude(Int_t imposedQ=0);
108 //
109 Int_t GetParAxis() const {return fParAxis;}
110 Int_t GetAxID(Int_t id) const {return fkAxID ? fkAxID[id] : -1;}
111 Int_t GetAxCID(Int_t id) const {return fkAxCID ? fkAxCID[id] : -1;}
112 Int_t GetFirst() const {return fPntFirst;}
113 Int_t GetLast() const {return fPntLast;}
114 //
115 Int_t GetNParams() const {return IsFieldON() ? 5:4;}
116 Bool_t InvertPointsCovMat();
117 //
1d06ac63 118 Int_t* GetElsId() const {return fElsId;}
6be22b3f 119 Double_t* GetElsDR() const {return fElsDR;}
120 //
8102b2c9 121 Double_t GetCovIScale(Int_t ip) const {return ip<fNPBooked ? fCovI[ip*kNCov+kScl] : -1.0;}
122 Double_t* GetCovI(Int_t ip) const {return fCovI + kNCov*ip;}
6be22b3f 123 Double_t* GetCovI() const {return fCovI;}
124 Double_t* GetParams() const {return (Double_t*)&fParams[0];}
125 Double_t GetParam(Int_t ip) const {return fParams[ip];}
126 Double_t* GetTs() const {return (Double_t*)fCurT;}
127 Double_t GetT(Int_t ip) const {return fCurT[ip];}
128 Double_t GetLineOffset(Int_t axis) const;
129 Double_t GetLineSlope(Int_t axis) const;
130 //
1d06ac63 131 Bool_t IsSwitched2Line() const {return fSwitch2Line;}
6be22b3f 132 Bool_t IsELossON() const {return TestBit(kELossBit)&&IsFieldON();}
133 Bool_t IsFitDone() const {return TestBit(kFitDoneBit);}
134 Bool_t IsCovInv() const {return TestBit(kCovInvBit);}
135 Bool_t IsCovIgnored() const {return TestBit(kIgnoreCovBit);}
136 Int_t GetMaxIterations() const {return fMaxIter;}
137 Int_t GetNIterations() const {return fIter;}
138 Double_t GetEps() const {return fEps;}
139 Double_t GetMass() const {return fMass;}
ef24eb3b 140 //
141 Double_t GetPt() const;
142 Double_t GetP() const;
143
6be22b3f 144 //
1d06ac63 145 void Switch2Line(Bool_t v=kTRUE) {fSwitch2Line = v;}
146 void SetMaxRforHelix(Double_t r) {fMaxRforHelix = r>0 ? r : 1e9;}
6be22b3f 147 void SetCharge(Int_t q=1) {fCharge = q<0 ? -1:1;}
148 void SetELossON(Bool_t v=kTRUE) {SetBit(kELossBit,v);}
149 void SetTypeCosmics(Bool_t v=kTRUE) {SetBit(kCosmicsBit,v);}
150 void SetTypeCollision(Bool_t v=kTRUE) {SetTypeCosmics(!v);}
151 void SetFitDone(Bool_t v=kTRUE) {SetBit(kFitDoneBit,v);}
152 void SetCovInv(Bool_t v=kTRUE) {SetBit(kCovInvBit,v);}
153 void SetIgnoreCov(Bool_t v=kTRUE) {SetBit(kIgnoreCovBit,v);}
154 void SetParAxis(Int_t ax);
155 void SetMaxIterations(Int_t n=20) {fMaxIter = n<2 ? 2:n;}
156 void SetEps(Double_t eps=1e-6) {fEps = eps<0 ? GetMachinePrec() : eps;}
157 void SetMass(Double_t m=0.13957) {fMass = m<5E-4 ? 5E-4 : m;}
158 void Reset();
159 void BuildMaterialLUT(Int_t ntri=3000);
8102b2c9 160 void SetCovIScale(Int_t ip, Double_t scl=-1.0);
161 void ResetCovIScale(Double_t scl=-1.0) {for (int i=fNPBooked;i--;) SetCovIScale(i,scl);}
6be22b3f 162 //
8102b2c9 163 virtual void Print(Option_t *opt="") const;
6be22b3f 164 //
165 static void GetNormal(Double_t *norm,const Float_t *covMat);
166 //
167 protected:
168 void InitAux();
6be22b3f 169 Int_t ChoseParAxis() const;
8102b2c9 170 Double_t GetParPCALine(const Double_t *xyz, const Double_t *covI=0/*, Double_t sclCovI=-1*/) const;
171 Double_t GetParPCAHelix(const Double_t *xyz, const Double_t *covI=0, Double_t sclCovI=-1) const;
6be22b3f 172 Double_t GetParPCACircle(Double_t x, Double_t y) const;
173 Double_t GetHelixParAtR(Double_t r) const;
174 //
8102b2c9 175 void GetDtDPosLine(Double_t *dtpos,/*const Double_t *xyz,*/ const Double_t *covI=0/*, Double_t sclCovI=-1*/) const;
176 Double_t GetDtDParamsLine(Double_t *dtparam,const Double_t *xyz, const Double_t *covI=0/*, Double_t sclCovI=-1*/) const;
6be22b3f 177 //
178 Double_t GetDRofELoss(Double_t t,Double_t cdip,Double_t rhoL,
179 const Double_t *normS, Double_t &p,Double_t &e) const;
180 static Bool_t IsZero(Double_t v,Double_t threshold = 1e-16) {return TMath::Abs(v)<threshold; }
24391cd5 181 static Double_t GetMachinePrec();
6be22b3f 182 //
183 protected:
24391cd5 184 const AliTrackPointArray *fkPoints; // current points
6be22b3f 185 AliParamSolver* fParSol; // solver for parametric linearized systems
186 //
187 Double_t fBz; // magnetic field
188 Int_t fCharge; // track charge +1=+, -1=-
189 Int_t fPntFirst; // first point to fit
190 Int_t fPntLast; // last point to fit
191 Int_t fNPBooked; // number of points booked
192 Int_t fParAxis; // parameterization axis
193 Double_t *fCovI; //! inverted cov.matrix for each point
194 Double_t fParams[kMaxParam]; // fitted params
195 Double_t fParamsCov[kMaxParamSq]; // fit cov matrix
196 Double_t fChi2NDF; // fit chi2/NDF
197 Int_t fMaxIter; // max number of iterations
198 Int_t fIter; // real number of iterations
199 Double_t fEps; // precision
200 Double_t fMass; // assumed particle mass for ELoss Calculation
1d06ac63 201 Bool_t fSwitch2Line; // decided to switch to line
202 Double_t fMaxRforHelix; // above this radius use straight line fit
6be22b3f 203 //
204 const Int_t *fkAxID; // axis IDs
205 const Int_t *fkAxCID; // axis combinations IDs
206 //
207 // internal storage
208 Double_t *fCurT; // track parameter for each point
209 //
210 // storage to account e-loss
211 Int_t fFirstPosT; // id of the first positive t index in fElsId
212 Int_t fNElsPnt; // number of e-loss layers seen by the track
213 Int_t *fElsId; // index of increasing t-ordering in the fCurT
214 Double_t *fElsDR; // delta_Radius for each e-loss layer
215 //
216 static Double_t fgRhoLITS[kMaxLrITS]; // <rho*L> for each material layer
217 static const Double_t fgkRLayITS[kMaxLrITS]; // radii of material layers
218 static const Double_t fgkZSpanITS[kMaxLrITS]; // half Z span of the material layer
219 static const Int_t fgkPassivLrITS[3]; // list of passive layer enums
220 static const Int_t fgkActiveLrITS[6]; // list of active layer enums
221 static const Double_t fgkAlmostZero; // tiny double
222 static const Double_t fgkCQConv; // R = PT/Bz/fgkCQConv with GeV,kGauss,cm
223 static const Int_t fgkAxisID[3][3]; // permutations of axis
224 static const Int_t fgkAxisCID[3][6]; // cov matrix elements for axis selection
225
226 ClassDef(AliITSTPArrayFit,0);
227};
228
229//____________________________________________________
230inline void AliITSTPArrayFit::GetPosition(Double_t *xyz, Int_t pnt) const
231{
232 // track position at measured point pnt
233 GetPosition(xyz,fCurT[pnt]);
234}
235
236//____________________________________________________
8102b2c9 237inline Double_t AliITSTPArrayFit::GetParPCA(const double *xyz, const double *covI, Double_t sclCovI) const
6be22b3f 238{
239 // get parameter for the point with least weighted distance to the point
8102b2c9 240 if (IsFieldON()) return GetParPCAHelix(xyz,covI,sclCovI);
241 else return GetParPCALine(xyz,covI/*,sclCovI*/);
6be22b3f 242}
243
244//____________________________________________________
245inline Double_t* AliITSTPArrayFit::GetPoint(Int_t ip) const
246{
8102b2c9 247 // get point xyz
6be22b3f 248 static double xyz[3];
24391cd5 249 xyz[kX] = fkPoints->GetX()[ip];
250 xyz[kY] = fkPoints->GetY()[ip];
251 xyz[kZ] = fkPoints->GetZ()[ip];
6be22b3f 252 return &xyz[0];
253}
254
255//____________________________________________________
256inline Double_t AliITSTPArrayFit::Fit(Int_t extQ,Double_t extPT,Double_t extPTerr)
257{
8102b2c9 258 // perform the fit
6be22b3f 259 if (IsFieldON()) return FitHelix(extQ,extPT,extPTerr);
260 else return FitLine();
261}
262
8102b2c9 263//____________________________________________________
264inline void AliITSTPArrayFit::SetCovIScale(Int_t ip, Double_t scl)
265{
266 // rescale inverted error matrix of specific point
267 if (ip>=fNPBooked) return;
268 if (TMath::Abs(scl-GetCovIScale(ip))<1e-7) ResetBit(kFitDoneBit);
269 fCovI[ip*kNCov+kScl] = scl;
270}
6be22b3f 271
272#endif
24391cd5 273