1 /* Copyright(c) 2009-2011, ALICE Experiment at CERN, All rights reserved. *
2  * See cxx source for full Copyright notice                               */
4 /* \$Id\$ */
7 #ifndef ALIITSTPARRAYFIT_H
8 #define ALIITSTPARRAYFIT_H
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 ///////////////////////////////////////////////////////////////////////////////////////////////
33 #include <TObject.h>
34 #include <TMath.h>
35 #include "AliTrackPointArray.h"
36 class AliSymMatrix;
37 class AliLog;
38 class AliParamSolver;
41 class 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),
48   enum {kXX=0,kXY=1,kXZ=2,kYX=kXY,kYY=3,kYZ=4,kZX=kXZ,kZY=kYZ,kZZ=5};
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};
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);
64   AliTrackPointArray* GetPoints()                           const {return (AliTrackPointArray*)fkPoints;}
65   //
66   void          SetBz(Double_t bz)                                {fBz = bz;}
67   Double_t      GetBz()                                     const {return fBz;}
68   Bool_t        IsFieldON()                                 const {return TMath::Abs(fBz)>1e-5 && !IsSwitched2Line();}
69   Bool_t        IsTypeCosmics()                             const {return TestBit(kCosmicsBit);}
70   Bool_t        IsTypeCollision()                           const {return !IsTypeCosmics();}
71   Int_t         GetCharge()                                 const {return fCharge;}
72   Int_t         GetSignQB()                                 const {return fBz<0 ? -fCharge:fCharge;}
73   void          GetResiduals(Double_t *res, Int_t ipnt)     const;
74   void          GetResiduals(Double_t *resPCA, const Double_t* xyz, const Double_t* covI=0)  const;
75   Double_t      GetPosition( Double_t *xyzPCA, const Double_t* xyz, const Double_t* covI=0)  const;
76   Double_t      GetPosition( Double_t *xyzPCA, const AliTrackPoint *pntCovInv)               const;
77   void          GetResiduals(Double_t *xyzPCA, const AliTrackPoint *pntCovInv)               const;
78   void          GetPosition(Double_t *xyz, Double_t t)      const;
79   void          GetPosition(Double_t *xyz, Int_t pnt)       const;
80   void          GetDirCos(Double_t *dircos, Double_t t)     const;
81   Double_t      GetPCA2PlaneInfo(Double_t *xyz, Double_t *dir=0, Int_t axis=kY, Double_t axval=0) const;
82   void          GetT0Info(Double_t *xyz, Double_t *dir=0)   const;
83   Double_t      CalcChi2NDF()                               const;
84   Double_t      GetChi2NDF()                                const {return fChi2NDF;}
85   Double_t      GetParPCA(const double *xyz, const double *covI=0)        const;
86   Double_t      CalcParPCA(Int_t ipnt)                      const;
87   Bool_t        CalcErrorMatrix();
88   //
89   void          GetDResDParamsLine (Double_t *dXYZdP, const Double_t *xyz, const Double_t *covI=0) const;
90   void          GetDResDParamsLine (Double_t *dXYZdP, Int_t ipnt) const;
91   void          GetDResDParams(Double_t *dXYZdP, const Double_t *xyz, const Double_t *covI=0);
92   void          GetDResDParams(Double_t *dXYZdP, Int_t ipnt);
93   //
94   void          GetDResDPosLine (Double_t *dXYZdP,/*const Double_t *xyz,*/ const Double_t *covI=0) const;
95   void          GetDResDPosLine (Double_t *dXYZdP, Int_t ipnt) const;
96   void          GetDResDPos(Double_t *dXYZdP, const Double_t *xyz, const Double_t *covI=0);
97   void          GetDResDPos(Double_t *dXYZdP, Int_t ipnt);
98   //
99   Double_t*     GetPoint(int ip)                            const;
100   Bool_t        Converged()                                 const {return fIter<fMaxIter;}
101   //
102   Double_t      Fit(Int_t extQ=0, Double_t extPT=-1,Double_t extPTerr=0);
103   Double_t      FitLine();
104   Double_t      FitHelix(Int_t extQ=0, Double_t extPT=-1,Double_t extPTerr=0);
105   Bool_t        FitLineCrude();
106   Bool_t        FitHelixCrude(Int_t imposedQ=0);
107   //
108   Int_t         GetParAxis()                                const {return fParAxis;}
109   Int_t         GetAxID(Int_t id)                           const {return fkAxID  ? fkAxID[id] : -1;}
110   Int_t         GetAxCID(Int_t id)                          const {return fkAxCID ? fkAxCID[id] : -1;}
111   Int_t         GetFirst()                                  const {return fPntFirst;}
112   Int_t         GetLast()                                   const {return fPntLast;}
113   //
114   Int_t         GetNParams()                                const {return IsFieldON() ? 5:4;}
115   Bool_t        InvertPointsCovMat();
116   //
117   Int_t*        GetElsId() const {return fElsId;}
118   Double_t*     GetElsDR() const {return fElsDR;}
119   //
120   Double_t*     GetCovI(Int_t ip)                           const {return fCovI + ip*6;}
121   Double_t*     GetCovI()                                   const {return fCovI;}
122   Double_t*     GetParams()                                 const {return (Double_t*)&fParams[0];}
123   Double_t      GetParam(Int_t ip)                          const {return fParams[ip];}
124   Double_t*     GetTs()                                     const {return (Double_t*)fCurT;}
125   Double_t      GetT(Int_t ip)                              const {return fCurT[ip];}
126   Double_t      GetLineOffset(Int_t axis)                   const;
127   Double_t      GetLineSlope(Int_t axis)                    const;
128   //
129   Bool_t        IsSwitched2Line()                           const {return fSwitch2Line;}
130   Bool_t        IsELossON()                                 const {return TestBit(kELossBit)&&IsFieldON();}
131   Bool_t        IsFitDone()                                 const {return TestBit(kFitDoneBit);}
132   Bool_t        IsCovInv()                                  const {return TestBit(kCovInvBit);}
133   Bool_t        IsCovIgnored()                              const {return TestBit(kIgnoreCovBit);}
134   Int_t         GetMaxIterations()                          const {return fMaxIter;}
135   Int_t         GetNIterations()                            const {return fIter;}
136   Double_t      GetEps()                                    const {return fEps;}
137   Double_t      GetMass()                                   const {return fMass;}
138   //
139   void          Switch2Line(Bool_t v=kTRUE)                       {fSwitch2Line = v;}
140   void          SetMaxRforHelix(Double_t r)                       {fMaxRforHelix = r>0 ? r : 1e9;}
141   void          SetCharge(Int_t q=1)                              {fCharge = q<0 ? -1:1;}
142   void          SetELossON(Bool_t v=kTRUE)                        {SetBit(kELossBit,v);}
143   void          SetTypeCosmics(Bool_t v=kTRUE)                    {SetBit(kCosmicsBit,v);}
144   void          SetTypeCollision(Bool_t v=kTRUE)                  {SetTypeCosmics(!v);}
145   void          SetFitDone(Bool_t v=kTRUE)                        {SetBit(kFitDoneBit,v);}
146   void          SetCovInv(Bool_t v=kTRUE)                         {SetBit(kCovInvBit,v);}
147   void          SetIgnoreCov(Bool_t v=kTRUE)                      {SetBit(kIgnoreCovBit,v);}
148   void          SetParAxis(Int_t ax);
149   void          SetMaxIterations(Int_t n=20)                      {fMaxIter = n<2 ? 2:n;}
150   void          SetEps(Double_t eps=1e-6)                         {fEps = eps<0 ? GetMachinePrec() : eps;}
151   void          SetMass(Double_t m=0.13957)                       {fMass = m<5E-4 ? 5E-4 : m;}
152   void          Reset();
153   void          BuildMaterialLUT(Int_t ntri=3000);
154   //
155   virtual void  Print(Option_t *opt="")                                     const;
156   //
157   static void   GetNormal(Double_t *norm,const Float_t *covMat);
158   //
159  protected:
160   void          InitAux();
161   Int_t         ChoseParAxis()                                              const;
162   Double_t      GetParPCALine(const Double_t *xyz, const Double_t *covI=0)  const;
163   Double_t      GetParPCAHelix(const Double_t *xyz, const Double_t *covI=0) const;
164   Double_t      GetParPCACircle(Double_t x, Double_t y)                     const;
165   Double_t      GetHelixParAtR(Double_t r)                                  const;
166   //
167   void          GetDtDPosLine(Double_t *dtpos,/*const Double_t *xyz,*/  const Double_t *covI=0)  const;
168   Double_t      GetDtDParamsLine(Double_t *dtparam,const Double_t *xyz, const Double_t *covI=0)  const;
169   //
170   Double_t      GetDRofELoss(Double_t t,Double_t cdip,Double_t rhoL,
171                              const Double_t *normS, Double_t &p,Double_t &e) const;
172   static Bool_t IsZero(Double_t v,Double_t threshold = 1e-16)     {return TMath::Abs(v)<threshold; }
173   static Double_t      GetMachinePrec();
174   //
175  protected:
176   const AliTrackPointArray *fkPoints;               // current points
177   AliParamSolver* fParSol;                         // solver for parametric linearized systems
178   //
179   Double_t  fBz;                                   // magnetic field
180   Int_t     fCharge;                               // track charge +1=+, -1=-
181   Int_t     fPntFirst;                             // first point to fit
182   Int_t     fPntLast;                              // last point to fit
183   Int_t     fNPBooked;                             // number of points booked
184   Int_t     fParAxis;                              // parameterization axis
185   Double_t *fCovI;                                 //! inverted cov.matrix for each point
186   Double_t  fParams[kMaxParam];                    // fitted params
187   Double_t  fParamsCov[kMaxParamSq];               // fit cov matrix
188   Double_t  fChi2NDF;                              // fit chi2/NDF
189   Int_t     fMaxIter;                              // max number of iterations
190   Int_t     fIter;                                 // real number of iterations
191   Double_t  fEps;                                  // precision
192   Double_t  fMass;                                 // assumed particle mass for ELoss Calculation
193   Bool_t    fSwitch2Line;                          // decided to switch to line
194   Double_t  fMaxRforHelix;                         // above this radius use straight line fit
195   //
196   const Int_t  *fkAxID;                            // axis IDs
197   const Int_t  *fkAxCID;                           // axis combinations IDs
198   //
199   // internal storage
200   Double_t *fCurT;                                 // track parameter for each point
201   //
202   // storage to account e-loss
203   Int_t     fFirstPosT;                            // id of the first positive t index in fElsId
204   Int_t     fNElsPnt;                              // number of e-loss layers seen by the track
205   Int_t    *fElsId;                                // index of increasing t-ordering in the fCurT
206   Double_t *fElsDR;                                // delta_Radius for each e-loss layer
207   //
208   static       Double_t fgRhoLITS[kMaxLrITS];      // <rho*L> for each material layer
209   static const Double_t fgkRLayITS[kMaxLrITS];     // radii of material layers
210   static const Double_t fgkZSpanITS[kMaxLrITS];    // half Z span of the material layer
211   static const Int_t    fgkPassivLrITS[3];         // list of passive layer enums
212   static const Int_t    fgkActiveLrITS[6];         // list of active layer enums
213   static const Double_t fgkAlmostZero;             // tiny double
214   static const Double_t fgkCQConv;                 // R = PT/Bz/fgkCQConv with GeV,kGauss,cm
215   static const Int_t    fgkAxisID[3][3];           // permutations of axis
216   static const Int_t    fgkAxisCID[3][6];          // cov matrix elements for axis selection
218   ClassDef(AliITSTPArrayFit,0);
219 };
221 //____________________________________________________
222 inline void AliITSTPArrayFit::GetPosition(Double_t *xyz, Int_t pnt) const
223 {
224   // track position at measured point pnt
225   GetPosition(xyz,fCurT[pnt]);
226 }
228 //____________________________________________________
229 inline Double_t AliITSTPArrayFit::GetParPCA(const double *xyz, const double *covI) const
230 {
231   // get parameter for the point with least weighted distance to the point
232   if (IsFieldON()) return GetParPCAHelix(xyz,covI);
233   else             return GetParPCALine(xyz,covI);
234 }
236 //____________________________________________________
237 inline Double_t* AliITSTPArrayFit::GetPoint(Int_t ip) const
238 {
239   static double xyz[3];
240   xyz[kX] = fkPoints->GetX()[ip];
241   xyz[kY] = fkPoints->GetY()[ip];
242   xyz[kZ] = fkPoints->GetZ()[ip];
243   return &xyz[0];
244 }
246 //____________________________________________________
247 inline Double_t AliITSTPArrayFit::Fit(Int_t extQ,Double_t extPT,Double_t extPTerr)
248 {
249   if (IsFieldON()) return FitHelix(extQ,extPT,extPTerr);
250   else             return FitLine();
251 }
254 #endif