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da7cd221 1
2// Author: ruben.shahoyan@cern.ch 20/03/2007
3
4///////////////////////////////////////////////////////////////////////////////////
5// //
6// Wrapper for the set of mag.field parameterizations by Chebyshev polinomials //
7// To obtain the field in cartesian coordinates/components use //
db83d72f 8// Field(double* xyz, double* bxyz); //
da7cd221 9// For cylindrical coordinates/components: //
db83d72f 10// FieldCyl(double* rphiz, double* brphiz) //
da7cd221 11// //
12// The solenoid part is parameterized in the volume R<500, -550<Z<550 cm //
13// //
14// The region R<423 cm, -343.3<Z<481.3 for 30kA and -343.3<Z<481.3 for 12kA //
15// is parameterized using measured data while outside the Tosca calculation //
16// is used (matched to data on the boundary of the measurements) //
17// //
18// Two options are possible: //
19// 1) _BRING_TO_BOUNDARY_ is defined in the AliCheb3D: //
20// If the querried point is outside of the validity region then the field //
21// at the closest point on the fitted surface is returned. //
22// 2) _BRING_TO_BOUNDARY_ is not defined in the AliCheb3D: //
23// If the querried point is outside of the validity region the return //
24// value for the field components are set to 0. //
25// //
26// To obtain the field integral in the TPC region from given point to nearest //
27// cathod plane (+- 250 cm) use: //
db83d72f 28// GetTPCInt(double* xyz, double* bxyz); for Cartesian frame //
da7cd221 29// or //
db83d72f 30// GetTPCIntCyl(Double_t *rphiz, Double_t *b); for Cylindrical frame //
da7cd221 31// //
32// //
33// The units are kiloGauss and cm. //
34// //
35///////////////////////////////////////////////////////////////////////////////////
36
a1dde210 37#ifndef ALIMAGWRAPCHEB_H
38#define ALIMAGWRAPCHEB_H
a1dde210 39
da7cd221 40#include <TMath.h>
41#include <TNamed.h>
42#include "AliCheb3D.h"
a1dde210 43
da7cd221 44class TSystem;
45class TArrayF;
46class TArrayI;
a1dde210 47
da7cd221 48class AliMagWrapCheb: public TNamed
a1dde210 49{
da7cd221 50 public:
a1dde210 51 AliMagWrapCheb();
da7cd221 52 AliMagWrapCheb(const AliMagWrapCheb& src);
53 ~AliMagWrapCheb() {Clear();}
54 //
55 void CopyFrom(const AliMagWrapCheb& src);
56 AliMagWrapCheb& operator=(const AliMagWrapCheb& rhs);
57 virtual void Clear(const Option_t * = "");
58 //
59 Int_t GetNParamsSol() const {return fNParamsSol;}
1d18ebe0 60 Int_t GetNSegZSol() const {return fNZSegSol;}
61 Float_t* GetSegZSol() const {return fSegZSol;}
da7cd221 62 //
1d18ebe0 63 Int_t GetNParamsTPCInt() const {return fNParamsTPC;}
64 Int_t GetNSegZTPCInt() const {return fNZSegTPC;}
da7cd221 65 //
66 Int_t GetNParamsDip() const {return fNParamsDip;}
67 Int_t GetNSegZDip() const {return fNZSegDip;}
68 //
9251fceb 69 Float_t GetMaxZ() const {return GetMaxZSol();}
70 Float_t GetMinZ() const {return fParamsDip ? GetMinZDip() : GetMinZSol();}
da7cd221 71 //
72 Float_t GetMinZSol() const {return fMinZSol;}
73 Float_t GetMaxZSol() const {return fMaxZSol;}
74 Float_t GetMaxRSol() const {return fMaxRSol;}
75 //
76 Float_t GetMinZDip() const {return fMinZDip;}
77 Float_t GetMaxZDip() const {return fMaxZDip;}
78 //
1d18ebe0 79 Float_t GetMinZTPCInt() const {return fMinZTPC;}
80 Float_t GetMaxZTPCInt() const {return fMaxZTPC;}
81 Float_t GetMaxRTPCInt() const {return fMaxRTPC;}
da7cd221 82 //
83 AliCheb3D* GetParamSol(Int_t ipar) const {return (AliCheb3D*)fParamsSol->UncheckedAt(ipar);}
1d18ebe0 84 AliCheb3D* GetParamTPCInt(Int_t ipar) const {return (AliCheb3D*)fParamsTPC->UncheckedAt(ipar);}
da7cd221 85 AliCheb3D* GetParamDip(Int_t ipar) const {return (AliCheb3D*)fParamsDip->UncheckedAt(ipar);}
86 //
87 virtual void Print(Option_t * = "") const;
88 //
db83d72f 89 virtual void Field(const Double_t *xyz, Double_t *b) const;
90 Double_t GetBz(const Double_t *xyz) const;
da7cd221 91 //
db83d72f 92 void FieldCyl(const Double_t *rphiz, Double_t *b) const;
93 void GetTPCInt(const Double_t *xyz, Double_t *b) const;
94 void GetTPCIntCyl(const Double_t *rphiz, Double_t *b) const;
da7cd221 95 //
1d18ebe0 96 Int_t FindSolSegment(const Double_t *xyz) const;
97 Int_t FindTPCSegment(const Double_t *xyz) const;
db83d72f 98 Int_t FindDipSegment(const Double_t *xyz) const;
99 static void CylToCartCylB(const Double_t *rphiz, const Double_t *brphiz,Double_t *bxyz);
100 static void CylToCartCartB(const Double_t *xyz, const Double_t *brphiz,Double_t *bxyz);
101 static void CartToCylCartB(const Double_t *xyz, const Double_t *bxyz, Double_t *brphiz);
102 static void CartToCylCylB(const Double_t *rphiz, const Double_t *bxyz, Double_t *brphiz);
103 static void CartToCyl(const Double_t *xyz, Double_t *rphiz);
104 static void CylToCart(const Double_t *rphiz,Double_t *xyz);
da7cd221 105 //
106#ifdef _INC_CREATION_ALICHEB3D_ // see AliCheb3D.h for explanation
107 void LoadData(const char* inpfile);
108 //
109 AliMagWrapCheb(const char* inputFile);
db83d72f 110 void SaveData(const char* outfile) const;
1d18ebe0 111 Int_t SegmentDimension(Float_t** seg,const TObjArray* par,int npar, int dim,
112 Float_t xmn,Float_t xmx,Float_t ymn,Float_t ymx,Float_t zmn,Float_t zmx);
da7cd221 113 //
114 void AddParamSol(const AliCheb3D* param);
115 void AddParamTPCInt(const AliCheb3D* param);
116 void AddParamDip(const AliCheb3D* param);
1d18ebe0 117 void BuildTable(Int_t npar,TObjArray *parArr, Int_t &nZSeg, Int_t &nYSeg, Int_t &nXSeg,
118 Float_t &minZ,Float_t &maxZ,Float_t **segZ,Float_t **segY,Float_t **segX,
119 Int_t **begSegY,Int_t **nSegY,Int_t **begSegX,Int_t **nSegX,Int_t **segID);
da7cd221 120 void BuildTableSol();
1d18ebe0 121 void BuildTableDip();
da7cd221 122 void BuildTableTPCInt();
123 void ResetTPCInt();
124 //
125 //
126#endif
a1dde210 127 //
128 protected:
db83d72f 129 void FieldCylSol(const Double_t *rphiz, Double_t *b) const;
130 Double_t FieldCylSolBz(const Double_t *rphiz) const;
da7cd221 131 //
132 protected:
133 //
1d18ebe0 134 Int_t fNParamsSol; // Total number of parameterization pieces for solenoid
135 Int_t fNZSegSol; // number of distinct Z segments in Solenoid
136 Int_t fNPSegSol; // number of distinct P segments in Solenoid
137 Int_t fNRSegSol; // number of distinct R segments in Solenoid
138 Float_t* fSegZSol; //[fNZSegSol] coordinates of distinct Z segments in Solenoid
139 Float_t* fSegPSol; //[fNPSegSol] coordinated of P segments for each Zsegment in Solenoid
140 Float_t* fSegRSol; //[fNRSegSol] coordinated of R segments for each Psegment in Solenoid
141 Int_t* fBegSegPSol; //[fNPSegSol] beginning of P segments array for each Z segment
142 Int_t* fNSegPSol; //[fNZSegSol] number of P segments for each Z segment
143 Int_t* fBegSegRSol; //[fNPSegSol] beginning of R segments array for each P segment
144 Int_t* fNSegRSol; //[fNPSegSol] number of R segments for each P segment
145 Int_t* fSegIDSol; //[fNRSegSol] ID of the solenoid parameterization for given RPZ segment
146 Float_t fMinZSol; // Min Z of Solenoid parameterization
147 Float_t fMaxZSol; // Max Z of Solenoid parameterization
148 TObjArray* fParamsSol; // Parameterization pieces for Solenoid field
149 Float_t fMaxRSol; // max raduis for Solenoid field
150 //
151 Int_t fNParamsTPC; // Total number of parameterization pieces for TPCint
152 Int_t fNZSegTPC; // number of distinct Z segments in TPCint
153 Int_t fNPSegTPC; // number of distinct P segments in TPCint
154 Int_t fNRSegTPC; // number of distinct R segments in TPCint
155 Float_t* fSegZTPC; //[fNZSegTPC] coordinates of distinct Z segments in TPCint
156 Float_t* fSegPTPC; //[fNPSegTPC] coordinated of P segments for each Zsegment in TPCint
157 Float_t* fSegRTPC; //[fNRSegTPC] coordinated of R segments for each Psegment in TPCint
158 Int_t* fBegSegPTPC; //[fNPSegTPC] beginning of P segments array for each Z segment
159 Int_t* fNSegPTPC; //[fNZSegTPC] number of P segments for each Z segment
160 Int_t* fBegSegRTPC; //[fNPSegTPC] beginning of R segments array for each P segment
161 Int_t* fNSegRTPC; //[fNPSegTPC] number of R segments for each P segment
162 Int_t* fSegIDTPC; //[fNRSegTPC] ID of the TPCint parameterization for given RPZ segment
163 Float_t fMinZTPC; // Min Z of TPCint parameterization
164 Float_t fMaxZTPC; // Max Z of TPCint parameterization
165 TObjArray* fParamsTPC; // Parameterization pieces for TPCint field
166 Float_t fMaxRTPC; // max raduis for Solenoid field integral in TPC
da7cd221 167 //
168 Int_t fNParamsDip; // Total number of parameterization pieces for dipole
169 Int_t fNZSegDip; // number of distinct Z segments in Dipole
170 Int_t fNYSegDip; // number of distinct Y segments in Dipole
171 Int_t fNXSegDip; // number of distinct X segments in Dipole
da7cd221 172 Float_t* fSegZDip; //[fNZSegDip] coordinates of distinct Z segments in Dipole
173 Float_t* fSegYDip; //[fNYSegDip] coordinated of Y segments for each Zsegment in Dipole
174 Float_t* fSegXDip; //[fNXSegDip] coordinated of X segments for each Ysegment in Dipole
da7cd221 175 Int_t* fBegSegYDip; //[fNZSegDip] beginning of Y segments array for each Z segment
176 Int_t* fNSegYDip; //[fNZSegDip] number of Y segments for each Z segment
177 Int_t* fBegSegXDip; //[fNYSegDip] beginning of X segments array for each Y segment
178 Int_t* fNSegXDip; //[fNYSegDip] number of X segments for each Y segment
179 Int_t* fSegIDDip; //[fNXSegDip] ID of the dipole parameterization for given XYZ segment
da7cd221 180 Float_t fMinZDip; // Min Z of Dipole parameterization
181 Float_t fMaxZDip; // Max Z of Dipole parameterization
da7cd221 182 TObjArray* fParamsDip; // Parameterization pieces for Dipole field
da7cd221 183 //
1d18ebe0 184 ClassDef(AliMagWrapCheb,5) // Wrapper class for the set of Chebishev parameterizations of Alice mag.field
da7cd221 185 //
186 };
187
188
da7cd221 189//__________________________________________________________________________________________
190inline void AliMagWrapCheb::FieldCyl(const Double_t *rphiz, Double_t *b) const
191{
192 // compute field in Cylindircal coordinates
193 // if (rphiz[2]<GetMinZSol() || rphiz[2]>GetMaxZSol() || rphiz[0]>GetMaxRSol()) {for (int i=3;i--;) b[i]=0; return;}
1d18ebe0 194 b[0] = b[1] = b[2] = 0;
da7cd221 195 FieldCylSol(rphiz,b);
196}
197
198//__________________________________________________________________________________________________
db83d72f 199inline void AliMagWrapCheb::CylToCartCylB(const Double_t *rphiz, const Double_t *brphiz,Double_t *bxyz)
da7cd221 200{
201 // convert field in cylindrical coordinates to cartesian system, point is in cyl.system
db83d72f 202 Double_t btr = TMath::Sqrt(brphiz[0]*brphiz[0]+brphiz[1]*brphiz[1]);
203 Double_t psiPLUSphi = TMath::ATan2(brphiz[1],brphiz[0]) + rphiz[1];
da7cd221 204 bxyz[0] = btr*TMath::Cos(psiPLUSphi);
205 bxyz[1] = btr*TMath::Sin(psiPLUSphi);
206 bxyz[2] = brphiz[2];
207 //
208}
209
210//__________________________________________________________________________________________________
db83d72f 211inline void AliMagWrapCheb::CylToCartCartB(const Double_t* xyz, const Double_t *brphiz, Double_t *bxyz)
da7cd221 212{
213 // convert field in cylindrical coordinates to cartesian system, point is in cart.system
db83d72f 214 Double_t btr = TMath::Sqrt(brphiz[0]*brphiz[0]+brphiz[1]*brphiz[1]);
215 Double_t phiPLUSpsi = TMath::ATan2(xyz[1],xyz[0]) + TMath::ATan2(brphiz[1],brphiz[0]);
da7cd221 216 bxyz[0] = btr*TMath::Cos(phiPLUSpsi);
217 bxyz[1] = btr*TMath::Sin(phiPLUSpsi);
218 bxyz[2] = brphiz[2];
219 //
220}
221
222//__________________________________________________________________________________________________
db83d72f 223inline void AliMagWrapCheb::CartToCylCartB(const Double_t *xyz, const Double_t *bxyz, Double_t *brphiz)
da7cd221 224{
225 // convert field in cylindrical coordinates to cartesian system, poin is in cart.system
db83d72f 226 Double_t btr = TMath::Sqrt(bxyz[0]*bxyz[0]+bxyz[1]*bxyz[1]);
227 Double_t psiMINphi = TMath::ATan2(bxyz[1],bxyz[0]) - TMath::ATan2(xyz[1],xyz[0]);
da7cd221 228 //
229 brphiz[0] = btr*TMath::Cos(psiMINphi);
230 brphiz[1] = btr*TMath::Sin(psiMINphi);
231 brphiz[2] = bxyz[2];
232 //
233}
234
235//__________________________________________________________________________________________________
db83d72f 236inline void AliMagWrapCheb::CartToCylCylB(const Double_t *rphiz, const Double_t *bxyz, Double_t *brphiz)
da7cd221 237{
238 // convert field in cylindrical coordinates to cartesian system, point is in cyl.system
db83d72f 239 Double_t btr = TMath::Sqrt(bxyz[0]*bxyz[0]+bxyz[1]*bxyz[1]);
240 Double_t psiMINphi = TMath::ATan2(bxyz[1],bxyz[0]) - rphiz[1];
da7cd221 241 brphiz[0] = btr*TMath::Cos(psiMINphi);
242 brphiz[1] = btr*TMath::Sin(psiMINphi);
243 brphiz[2] = bxyz[2];
244 //
245}
a1dde210 246
da7cd221 247//__________________________________________________________________________________________________
db83d72f 248inline void AliMagWrapCheb::CartToCyl(const Double_t *xyz, Double_t *rphiz)
da7cd221 249{
250 rphiz[0] = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]);
251 rphiz[1] = TMath::ATan2(xyz[1],xyz[0]);
252 rphiz[2] = xyz[2];
253}
254
255//__________________________________________________________________________________________________
db83d72f 256inline void AliMagWrapCheb::CylToCart(const Double_t *rphiz, Double_t *xyz)
da7cd221 257{
258 xyz[0] = rphiz[0]*TMath::Cos(rphiz[1]);
259 xyz[1] = rphiz[0]*TMath::Sin(rphiz[1]);
260 xyz[2] = rphiz[2];
261}
262
a1dde210 263#endif