1 #ifndef ALIITSGEOMMATRIX_H
2 #define ALIITSGEOMMATRIX_H
3 /* Copyright(c) 2000, ALICE Experiment at CERN, All rights reserved. *
4 * see cxx source for full Copyright notice. */
6 ////////////////////////////////////////////////////////////////////////
7 // ITS geometry manipulation routines on the module level. This class is
8 // to replace the structure ITS_geom in the class AliITSgeom.
9 // Created May 30 2000.
12 ////////////////////////////////////////////////////////////////////////
16 class AliITSgeomMatrix : public TObject {
18 AliITSgeomMatrix(); // Default constructor
19 // Standard constructor #1
20 AliITSgeomMatrix(Int_t idt,const Int_t id[3],
21 const Double_t rot[3],const Double_t tran[3]);
22 // Standard constructor #2
23 AliITSgeomMatrix(Int_t idt,const Int_t id[3],
24 Double_t matrix[3][3],const Double_t tran[3]);
25 // Standard constructor #3
26 AliITSgeomMatrix(const Double_t rotd[6]/*degrees GEANT angles*/,
27 Int_t idt,const Int_t id[3],
28 const Double_t tran[3]);
30 AliITSgeomMatrix(const AliITSgeomMatrix &source);
32 void operator=(const AliITSgeomMatrix &sourse); // copy
33 virtual ~AliITSgeomMatrix(){}; // default constructor.
34 // Prints a line describing the output format of the function Print.
35 void PrintComment(ostream *os);
36 // Prints out the content of this class in ASCII format.
37 void Print(ostream *os);
38 // Prints out the content of this class in ASCII format but includes
39 // formating and strings that make it more humanly readable.
40 void PrintTitles(ostream *os);
41 // Reads in the content of this class in the format of Print
42 void Read(istream *is);
44 // Given the rotation angles [radians] it fills frot and computes
45 // the rotation matrix fm.
46 void SetAngles(const Double_t rot[3]){// [radians]
47 for(Int_t i=0;i<3;i++)frot[i] = rot[i];this->MatrixFromAngle();}
48 // Sets the translation vector and computes fCylR and fCylPhi.
49 void SetTranslation(const Double_t tran[3]){
50 for(Int_t i=0;i<3;i++) ftran[i] = tran[i];
51 fCylR = TMath::Sqrt(ftran[0]*ftran[0]+
53 fCylPhi = TMath::ATan2(ftran[1],ftran[0]);
54 if(fCylPhi<0.0) fCylPhi += TMath::Pi();}
55 // sets the rotation matrix and computes the rotation angles [radians]
56 void SetMatrix(Double_t matrix[3][3]){ for(Int_t i=0;i<3;i++)
57 for(Int_t j=0;j<3;j++) fm[i][j]=matrix[i][j];this->AngleFromMatrix();}
58 // Sets the detector index value
59 void SetDetectorIndex(Int_t idt) {fDetectorIndex = idt;}
60 // Sets the detector layer, ladder, detector (id) values.
61 void SetIndex(const Int_t id[3]){
62 for(Int_t i=0;i<3;i++) fid[i] = id[i];}
63 // Returns the rotation angles [radians]
64 void GetAngles(Double_t rot[3]){// [radians]
65 for(Int_t i=0;i<3;i++) rot[i] = frot[i];}
66 // Returns the translation vector [cm]
67 void GetTranslation(Double_t tran[3]){
68 for(Int_t i=0;i<3;i++) tran[i] = ftran[i];}
69 // Returns the translation vector in cylindrical
70 // coordinates [cm,radians]
71 void GetTranslationCylinderical(Double_t tran[3]){
75 // Returns the values of the rotation matrix
76 void GetMatrix(Double_t matrix[3][3]){for(Int_t i=0;i<3;i++)
77 for(Int_t j=0;j<3;j++) matrix[i][j] = fm[i][j];}
78 // Returns the detector index value.
79 Int_t GetDetectorIndex() const {return fDetectorIndex;}
80 // returns the modules index layer, ladder, detector
81 void GetIndex(Int_t id[3]){for(Int_t i=0;i<3;i++) id[i] = fid[i];}
82 // Sets the rotation matrix based on the 6 GEANT rotation
84 void MatrixFromSixAngles(const Double_t *ang);
85 // Returns the 6 GEANT rotation angles [radians] from the
86 // existing rotation matrix.
87 void SixAnglesFromMatrix(Double_t *ang);
89 // Given a position in Cartesian ALICE global coordinates [cm]
90 // returns the position in Cartesian detector/module local
92 void GtoLPosition(const Double_t g[3],Double_t l[3]);
93 // Given a position in Cartesian detector/module local coordinates [cm]
94 // returns the position in Cartesian ALICE global
96 void LtoGPosition(const Double_t l[3],Double_t g[3]);
97 // Given a momentum in Cartesian ALICE global coordinates
98 // returns the momentum in Cartesian detector/module local
100 void GtoLMomentum(const Double_t g[3],Double_t l[3]);
101 // Given a momentum in Cartesian detector/module local coordinates
102 // returns the momentum in Cartesian ALICE global coordinates
103 void LtoGMomentum(const Double_t l[3],Double_t g[3]);
104 // given a position error matrix in ALICE Cartesian global
105 // coordinates [cm] returns a position error matrix in detector/
106 // module local Cartesian local coordinates [cm]
107 void GtoLPositionError(Double_t g[3][3],Double_t l[3][3]);
108 // given a position error matrix in detector/module Cartesian local
109 // coordinates [cm] returns a position error matrix in ALICE
110 // Cartesian global coordinates [cm]
111 void LtoGPositionError(Double_t l[3][3],Double_t g[3][3]);
112 // Tracking Related Routines
113 void GtoLPositionTracking(const Double_t g[3],Double_t l[3]);
114 // Given a position in Cartesian Tracking global coordinates [cm]
115 // returns the position in Cartesian detector/module local
117 void LtoGPositionTracking(const Double_t l[3],Double_t g[3]);
118 // Given a position in Cartesian detector/module local coordinates [cm]
119 // returns the position in Cartesian Tracking global
121 void GtoLMomentumTracking(const Double_t g[3],Double_t l[3]);
122 // Given a momentum in Cartesian detector/module local coordinates
123 // returns the momentum in Cartesian Tracking global coordinates
124 void LtoGMomentumTracking(const Double_t l[3],Double_t g[3]);
125 // given a position error matrix in Tracking Cartesian global
126 // coordinates [cm] returns a position error matrix in detector/
127 // module local Cartesian local coordinates [cm]
128 void GtoLPositionErrorTracking(Double_t g[3][3],
130 // given a position error matrix in detector/module Cartesian local
131 // coordinates [cm] returns a position error matrix in Tracking
132 // Cartesian global coordinates [cm]
133 void LtoGPositionErrorTracking(Double_t l[3][3],
135 // Computes the distance squared [cm^2] between a point t[3] and
136 // this module/detector
137 Double_t Distance2(const Double_t t[3]){Double_t d=0.0,q;
138 for(Int_t i=0;i<3;i++){q = t[i]-ftran[i]; d += q*q;}
140 private: // private functions
141 // Given the rotation matrix fm it fills the rotation angles frot
142 void MatrixFromAngle();
143 // Given the rotation angles frot it fills the rotation matrix fm
144 void AngleFromMatrix();
145 private: // Data members.
146 Int_t fDetectorIndex; // Detector type index (like fShapeIndex was)
147 Int_t fid[3]; // layer, ladder, detector numbers.
148 Double_t frot[3]; //! vector of rotations about x,y,z [radians].
149 Double_t ftran[3]; // Translation vector of module x,y,z.
150 Double_t fCylR,fCylPhi; //! Translation vector in Cylindrical coord.
151 Double_t fm[3][3]; // Rotation matrix based on frot.
153 // Note, fCylR and fCylPhi are added as data members because it costs
154 // about a factor of 10 to compute them over looking them up. Since
155 // they are used in some tracking algorithms this can be a large cost
156 // in computing time. They are not written out but computed.
158 ClassDef(AliITSgeomMatrix,1) // Matrix class used by AliITSgeom.
160 // Input and output function for standard C++ input/output.
161 ostream &operator<<(ostream &os,AliITSgeomMatrix &source);
162 istream &operator>>(istream &os,AliITSgeomMatrix &source);