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1#ifndef ALIEXTERNALTRACKPARAM_H
2#define ALIEXTERNALTRACKPARAM_H
3/* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * See cxx source for full Copyright notice */
5
6/* $Id$ */
7
8/*****************************************************************************
9 * "External" track parametrisation class *
10 * *
11 * external param0: local Y-coordinate of a track (cm) *
12 * external param1: local Z-coordinate of a track (cm) *
13 * external param2: local sine of the track momentum azimuthal angle *
14 * external param3: tangent of the track momentum dip angle *
15 * external param4: 1/pt (1/(GeV/c)) *
16 * *
17 * The parameters are estimated at an exact position x in a local coord. *
18 * system rotated by angle alpha with respect to the global coord.system. *
19 * Origin: I.Belikov, CERN, Jouri.Belikov@cern.ch *
20 *****************************************************************************/
21#include "TMath.h"
22
23#include "AliVTrack.h"
24
25const Double_t kVeryBig=1./kAlmost0;
26const Double_t kMostProbablePt=0.35;
27
28class AliVVertex;
29class TPolyMarker3D;
30
31const Double_t kC0max=100*100, // SigmaY<=100cm
32 kC2max=100*100, // SigmaZ<=100cm
33 kC5max=1*1, // SigmaSin<=1
34 kC9max=1*1, // SigmaTan<=1
35 kC14max=100*100; // Sigma1/Pt<=100 1/GeV
36
37class AliExternalTrackParam: public AliVTrack {
38 public:
39 AliExternalTrackParam();
40 AliExternalTrackParam(const AliExternalTrackParam &);
41 AliExternalTrackParam& operator=(const AliExternalTrackParam & trkPar);
42 AliExternalTrackParam(Double_t x, Double_t alpha,
43 const Double_t param[5], const Double_t covar[15]);
44 AliExternalTrackParam(const AliVTrack *vTrack);
45 AliExternalTrackParam(Double_t xyz[3],Double_t pxpypz[3],
46 Double_t cv[21],Short_t sign);
47 virtual ~AliExternalTrackParam(){}
48
49 template <typename T>
50 void Set(T x, T alpha, const T param[5], const T covar[15]) {
51 // Sets the parameters
52 fX=x; fAlpha=alpha;
53 for (Int_t i = 0; i < 5; i++) fP[i] = param[i];
54 for (Int_t i = 0; i < 15; i++) fC[i] = covar[i];
55
56 CheckCovariance();
57
58 }
59
60 void Set(Double_t xyz[3],Double_t pxpypz[3],Double_t cv[21],Short_t sign);
61
62 static void SetMostProbablePt(Double_t pt) { fgMostProbablePt=pt; }
63 static Double_t GetMostProbablePt() { return fgMostProbablePt; }
64
65 void Reset();
66 void ResetCovariance(Double_t s2);
67 void AddCovariance(const Double_t cov[15]);
68
69 const Double_t *GetParameter() const {return fP;}
70 const Double_t *GetCovariance() const {return fC;}
71
72 Double_t GetAlpha() const {return fAlpha;}
73 Double_t GetX() const {return fX;}
74 Double_t GetY() const {return fP[0];}
75 Double_t GetZ() const {return fP[1];}
76 Double_t GetSnp() const {return fP[2];}
77 Double_t GetTgl() const {return fP[3];}
78 Double_t GetSigned1Pt() const {return fP[4];}
79
80 Double_t GetSigmaY2() const {return fC[0];}
81 Double_t GetSigmaZY() const {return fC[1];}
82 Double_t GetSigmaZ2() const {return fC[2];}
83 Double_t GetSigmaSnpY() const {return fC[3];}
84 Double_t GetSigmaSnpZ() const {return fC[4];}
85 Double_t GetSigmaSnp2() const {return fC[5];}
86 Double_t GetSigmaTglY() const {return fC[6];}
87 Double_t GetSigmaTglZ() const {return fC[7];}
88 Double_t GetSigmaTglSnp() const {return fC[8];}
89 Double_t GetSigmaTgl2() const {return fC[9];}
90 Double_t GetSigma1PtY() const {return fC[10];}
91 Double_t GetSigma1PtZ() const {return fC[11];}
92 Double_t GetSigma1PtSnp() const {return fC[12];}
93 Double_t GetSigma1PtTgl() const {return fC[13];}
94 Double_t GetSigma1Pt2() const {return fC[14];}
95
96 // additional functions for AliVParticle
97 Double_t Px() const;
98 Double_t Py() const;
99 Double_t Pz() const { return Pt()*GetTgl(); }
100 Double_t Pt() const { return TMath::Abs(GetSignedPt()); }
101 Double_t P() const { return GetP(); }
102 Bool_t PxPyPz(Double_t p[3]) const { return GetPxPyPz(p); }
103
104 Double_t Xv() const;
105 Double_t Yv() const;
106 Double_t Zv() const {return GetZ();}
107 Bool_t XvYvZv(Double_t x[3]) const { return GetXYZ(x); }
108
109 Double_t OneOverPt() const { return 1./Pt(); }
110 Double_t Phi() const;
111 Double_t Theta() const;
112 virtual Double_t E() const;
113 virtual Double_t M() const;
114 Double_t Eta() const;
115 virtual Double_t Y() const;
116 virtual Short_t Charge() const { return (Short_t)GetSign(); }
117 virtual const Double_t *PID() const { return 0x0; }
118
119 // additional functions from AliVTrack
120 virtual Int_t GetID() const { return -999; }
121 virtual UChar_t GetITSClusterMap() const {return 0; }
122 virtual ULong_t GetStatus() const { return 0; }
123
124 Double_t GetSign() const {return (fP[4]>0) ? 1 : -1;}
125 Double_t GetP() const;
126 Double_t GetSignedPt() const {
127 return (TMath::Abs(fP[4])>kAlmost0) ? 1./fP[4]:TMath::Sign(kVeryBig,fP[4]);
128 }
129 Double_t Get1P() const;
130 virtual Double_t GetC(Double_t b) const {return fP[4]*b*kB2C;}
131 void GetDZ(Double_t x,Double_t y,Double_t z,Double_t b,Float_t dz[2]) const;
132 Double_t GetD(Double_t xv, Double_t yv, Double_t b) const;
133 Double_t GetLinearD(Double_t xv, Double_t yv) const;
134
135 Bool_t CorrectForMeanMaterial(Double_t xOverX0, Double_t xTimesRho,
136 Double_t mass, Bool_t anglecorr=kFALSE,
137 Double_t (*f)(Double_t)=AliExternalTrackParam::BetheBlochSolid);
138
139 Bool_t CorrectForMeanMaterialdEdx(Double_t xOverX0, Double_t xTimesRho,
140 Double_t mass, Double_t dEdx, Bool_t anglecorr=kFALSE);
141
142 Bool_t CorrectForMeanMaterialZA(Double_t xOverX0, Double_t xTimesRho,
143 Double_t mass,
144 Double_t zOverA=0.49848,
145 Double_t density=2.33,
146 Double_t exEnergy=173e-9,
147 Double_t jp1=0.20,
148 Double_t jp2=3.00,
149 Bool_t anglecorr=kFALSE
150 );
151
152 //
153 // Bethe-Bloch formula parameterizations
154 //
155 static Double_t BetheBlochAleph(Double_t bg,
156 Double_t kp1=0.76176e-1,
157 Double_t kp2=10.632,
158 Double_t kp3=0.13279e-4,
159 Double_t kp4=1.8631,
160 Double_t kp5=1.9479
161 );
162 static Double_t BetheBlochGeant(Double_t bg,
163 Double_t kp0=2.33,
164 Double_t kp1=0.20,
165 Double_t kp2=3.00,
166 Double_t kp3=173e-9,
167 Double_t kp4=0.49848
168 );
169
170 static Double_t BetheBlochSolid(Double_t bg);
171 static Double_t BetheBlochGas(Double_t bg);
172
173 Double_t GetPredictedChi2(Double_t p[2],Double_t cov[3]) const;
174
175 Double_t
176 GetPredictedChi2(Double_t p[3],Double_t covyz[3],Double_t covxyz[3]) const;
177
178 Double_t GetPredictedChi2(const AliExternalTrackParam *t) const;
179
180 Bool_t
181 PropagateTo(Double_t p[3],Double_t covyz[3],Double_t covxyz[3],Double_t b);
182
183 Double_t *GetResiduals(Double_t *p,Double_t *cov,Bool_t updated=kTRUE) const;
184 Bool_t Update(Double_t p[2],Double_t cov[3]);
185 Bool_t Rotate(Double_t alpha);
186 Bool_t PropagateTo(Double_t x, Double_t b);
187 Bool_t Propagate(Double_t alpha, Double_t x, Double_t b);
188 Bool_t PropagateBxByBz(Double_t alpha, Double_t x, Double_t b[3]);
189 void Propagate(Double_t len,Double_t x[3],Double_t p[3],Double_t bz) const;
190 Bool_t Intersect(Double_t pnt[3], Double_t norm[3], Double_t bz) const;
191
192 static void g3helx3(Double_t qfield, Double_t step, Double_t vect[7]);
193 Bool_t PropagateToBxByBz(Double_t x, const Double_t b[3]);
194
195 void GetHelixParameters(Double_t h[6], Double_t b) const;
196 Double_t GetDCA(const AliExternalTrackParam *p, Double_t b,
197 Double_t &xthis,Double_t &xp) const;
198 Double_t PropagateToDCA(AliExternalTrackParam *p, Double_t b);
199 Bool_t PropagateToDCA(const AliVVertex *vtx, Double_t b, Double_t maxd,
200 Double_t dz[2]=0, Double_t cov[3]=0);
201 Bool_t PropagateToDCABxByBz(const AliVVertex *vtx, Double_t b[3],
202 Double_t maxd, Double_t dz[2]=0, Double_t cov[3]=0);
203
204 void GetDirection(Double_t d[3]) const;
205 Bool_t GetPxPyPz(Double_t *p) const;
206 Bool_t GetXYZ(Double_t *p) const;
207 Bool_t GetCovarianceXYZPxPyPz(Double_t cv[21]) const;
208 Bool_t GetPxPyPzAt(Double_t x, Double_t b, Double_t p[3]) const;
209 Bool_t GetXYZAt(Double_t x, Double_t b, Double_t r[3]) const;
210 Bool_t GetYAt(Double_t x, Double_t b, Double_t &y) const;
211 Bool_t GetZAt(Double_t x, Double_t b, Double_t &z) const;
212 void Print(Option_t* option = "") const;
213 Double_t GetSnpAt(Double_t x,Double_t b) const;
214
215 //Deprecated
216 Bool_t CorrectForMaterial(Double_t d, Double_t x0, Double_t mass,
217 Double_t (*f)(Double_t)=AliExternalTrackParam::BetheBlochSolid);
218
219 Bool_t GetDistance(AliExternalTrackParam *param2, Double_t x, Double_t dist[3], Double_t b);
220 Int_t GetIndex(Int_t i, Int_t j) const;
221 Int_t GetLabel() const {return -1;}
222 Int_t PdgCode() const {return 0;}
223
224 //
225 // visualization (M. Ivanov)
226 //
227 virtual void FillPolymarker(TPolyMarker3D *pol, Float_t magf, Float_t minR, Float_t maxR, Float_t stepR);
228 virtual void DrawTrack(Float_t magF, Float_t minR, Float_t maxR, Float_t stepR);
229
230 virtual Bool_t Translate(Double_t *vTrasl,Double_t *covV);
231
232 void CheckCovariance();
233
234/* protected: */
235 private:
236 Double_t &Par(Int_t i) {return fP[i];}
237 Double_t &Cov(Int_t i) {return fC[i];}
238
239 private:
240 Double32_t fX; // X coordinate for the point of parametrisation
241 Double32_t fAlpha; // Local <-->global coor.system rotation angle
242 Double32_t fP[5]; // The track parameters
243 Double32_t fC[15]; // The track parameter covariance matrix
244
245 static Double32_t fgMostProbablePt; // "Most probable" pt
246 // (to be used if Bz=0)
247 ClassDef(AliExternalTrackParam, 8)
248};
249
250inline void AliExternalTrackParam::ResetCovariance(Double_t s2) {
251 //
252 // Reset the covarince matrix to "something big"
253 //
254
255 s2 = TMath::Abs(s2);
256 Double_t fC0=fC[0]*s2,
257 fC2=fC[2]*s2,
258 fC5=fC[5]*s2,
259 fC9=fC[9]*s2,
260 fC14=fC[14]*s2;
261
262 if (fC0>kC0max) fC0 = kC0max;
263 if (fC2>kC2max) fC2 = kC2max;
264 if (fC5>kC5max) fC5 = kC5max;
265 if (fC9>kC9max) fC9 = kC9max;
266 if (fC14>kC14max) fC14 = kC14max;
267
268
269 fC[0] = fC0;
270 fC[1] = 0.; fC[2] = fC2;
271 fC[3] = 0.; fC[4] = 0.; fC[5] = fC5;
272 fC[6] = 0.; fC[7] = 0.; fC[8] = 0.; fC[9] = fC9;
273 fC[10]= 0.; fC[11]= 0.; fC[12]= 0.; fC[13]= 0.; fC[14] = fC14;
274}
275
276
277
278
279#endif