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df5240ea | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * | |
3 | * * | |
4 | * Author: The ALICE Off-line Project. * | |
5 | * Contributors are mentioned in the code where appropriate. * | |
6 | * * | |
7 | * Permission to use, copy, modify and distribute this software and its * | |
8 | * documentation strictly for non-commercial purposes is hereby granted * | |
9 | * without fee, provided that the above copyright notice appears in all * | |
10 | * copies and that both the copyright notice and this permission notice * | |
11 | * appear in the supporting documentation. The authors make no claims * | |
12 | * about the suitability of this software for any purpose. It is * | |
13 | * provided "as is" without express or implied warranty. * | |
14 | **************************************************************************/ | |
15 | ||
88cb7938 | 16 | /* $Id$ */ |
85f1e34a | 17 | |
18 | //////////////////////////////////////////////////////////////////////// | |
19 | // This is the implementation file for AliITSgeomMatrix class. It | |
20 | // contains the routines to manipulate, setup, and queary the geometry | |
21 | // of a given ITS module. An ITS module may be one of at least three | |
22 | // ITS detector technologies, Silicon Pixel, Drift, or Strip Detectors, | |
23 | // and variations of these in size and/or layout. These routines let | |
24 | // one go between ALICE global coordiantes (cm) to a given modules | |
25 | // specific local coordinates (cm). | |
26 | //////////////////////////////////////////////////////////////////////// | |
27 | ||
4ae5bbc4 | 28 | #include <Riostream.h> |
df5240ea | 29 | #include <TMath.h> |
30 | #include <TBuffer.h> | |
d8cc8493 | 31 | #include <TClass.h> |
df5240ea | 32 | |
33 | #include "AliITSgeomMatrix.h" | |
34 | ||
35 | ClassImp(AliITSgeomMatrix) | |
36 | //---------------------------------------------------------------------- | |
37 | AliITSgeomMatrix::AliITSgeomMatrix(){ | |
38 | //////////////////////////////////////////////////////////////////////// | |
39 | // The Default constructor for the AliITSgeomMatrix class. By Default | |
40 | // the angles of rotations are set to zero, meaning that the rotation | |
41 | // matrix is the unit matrix. The translation vector is also set to zero | |
42 | // as are the module id number. The detector type is set to -1 (an undefined | |
43 | // value). The full rotation matrix is kept so that the evaluation | |
44 | // of a coordinate transformation can be done quickly and with a minimum | |
45 | // of CPU overhead. The basic coordinate systems are the ALICE global | |
46 | // coordinate system and the detector local coordinate system. In general | |
47 | // this structure is not limited to just those two coordinate systems. | |
48 | //Begin_Html | |
49 | /* | |
50 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
51 | */ | |
52 | //End_Html | |
53 | //////////////////////////////////////////////////////////////////////// | |
54 | Int_t i,j; | |
55 | ||
56 | fDetectorIndex = -1; // a value never defined. | |
57 | for(i=0;i<3;i++){ | |
58 | fid[i] = 0; | |
59 | frot[i] = ftran[i] = 0.0; | |
60 | for(j=0;j<3;j++) fm[i][j] = 0.0; | |
d8cc8493 | 61 | fCylR = fCylPhi = 0.0; |
df5240ea | 62 | }// end for i |
63 | fm[0][0] = fm[1][1] = fm[2][2] = 1.0; | |
64 | } | |
65 | //---------------------------------------------------------------------- | |
66 | AliITSgeomMatrix::AliITSgeomMatrix(const AliITSgeomMatrix &sourse){ | |
67 | //////////////////////////////////////////////////////////////////////// | |
68 | // The standard copy constructor. This make a full / proper copy of | |
69 | // this class. | |
70 | //////////////////////////////////////////////////////////////////////// | |
71 | Int_t i,j; | |
72 | ||
73 | this->fDetectorIndex = sourse.fDetectorIndex; | |
74 | for(i=0;i<3;i++){ | |
75 | this->fid[i] = sourse.fid[i]; | |
76 | this->frot[i] = sourse.frot[i]; | |
77 | this->ftran[i] = sourse.ftran[i]; | |
d8cc8493 | 78 | this->fCylR = sourse.fCylR; |
79 | this->fCylPhi = sourse.fCylPhi; | |
df5240ea | 80 | for(j=0;j<3;j++) this->fm[i][j] = sourse.fm[i][j]; |
81 | }// end for i | |
82 | } | |
83 | //---------------------------------------------------------------------- | |
84 | void AliITSgeomMatrix::operator=(const AliITSgeomMatrix &sourse){ | |
85 | //////////////////////////////////////////////////////////////////////// | |
86 | // The standard = operator. This make a full / proper copy of | |
87 | // this class. | |
88 | //////////////////////////////////////////////////////////////////////// | |
89 | Int_t i,j; | |
90 | ||
91 | this->fDetectorIndex = sourse.fDetectorIndex; | |
92 | for(i=0;i<3;i++){ | |
93 | this->fid[i] = sourse.fid[i]; | |
94 | this->frot[i] = sourse.frot[i]; | |
95 | this->ftran[i] = sourse.ftran[i]; | |
d8cc8493 | 96 | this->fCylR = sourse.fCylR; |
97 | this->fCylPhi = sourse.fCylPhi; | |
df5240ea | 98 | for(j=0;j<3;j++) this->fm[i][j] = sourse.fm[i][j]; |
99 | }// end for i | |
100 | } | |
101 | //---------------------------------------------------------------------- | |
102 | AliITSgeomMatrix::AliITSgeomMatrix(const Int_t idt,const Int_t id[3], | |
103 | const Double_t rot[3],const Double_t tran[3]){ | |
104 | //////////////////////////////////////////////////////////////////////// | |
105 | // This is a constructor for the AliITSgeomMatrix class. The matrix is | |
106 | // defined by 3 standard rotation angles [radians], and the translation | |
107 | // vector tran [cm]. In addition the layer, ladder, and detector number | |
108 | // for this particular module and the type of module must be given. | |
109 | // The full rotation matrix is kept so that the evaluation | |
110 | // of a coordinate transformation can be done quickly and with a minimum | |
111 | // of CPU overhead. The basic coordinate systems are the ALICE global | |
112 | // coordinate system and the detector local coordinate system. In general | |
113 | // this structure is not limited to just those two coordinate systems. | |
114 | //Begin_Html | |
115 | /* | |
116 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
117 | */ | |
118 | //End_Html | |
119 | //////////////////////////////////////////////////////////////////////// | |
d8cc8493 | 120 | Int_t i; |
df5240ea | 121 | |
d8cc8493 | 122 | fDetectorIndex = idt; // a value never defined. |
123 | for(i=0;i<3;i++){ | |
124 | fid[i] = id[i]; | |
125 | frot[i] = rot[i]; | |
126 | ftran[i] = tran[i]; | |
127 | }// end for i | |
128 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); | |
129 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
130 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
131 | this->MatrixFromAngle(); | |
df5240ea | 132 | } |
133 | //---------------------------------------------------------------------- | |
134 | AliITSgeomMatrix::AliITSgeomMatrix(const Int_t idt, const Int_t id[3], | |
d962cab4 | 135 | Double_t matrix[3][3], |
df5240ea | 136 | const Double_t tran[3]){ |
137 | //////////////////////////////////////////////////////////////////////// | |
138 | // This is a constructor for the AliITSgeomMatrix class. The rotation matrix | |
139 | // is given as one of the inputs, and the translation vector tran [cm]. In | |
140 | // addition the layer, ladder, and detector number for this particular | |
141 | // module and the type of module must be given. The full rotation matrix | |
142 | // is kept so that the evaluation of a coordinate transformation can be | |
143 | // done quickly and with a minimum of CPU overhead. The basic coordinate | |
144 | // systems are the ALICE global coordinate system and the detector local | |
145 | // coordinate system. In general this structure is not limited to just | |
146 | // those two coordinate systems. | |
147 | //Begin_Html | |
148 | /* | |
149 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
150 | */ | |
151 | //End_Html | |
152 | //////////////////////////////////////////////////////////////////////// | |
d8cc8493 | 153 | Int_t i,j; |
df5240ea | 154 | |
d8cc8493 | 155 | fDetectorIndex = idt; // a value never defined. |
156 | for(i=0;i<3;i++){ | |
157 | fid[i] = id[i]; | |
158 | ftran[i] = tran[i]; | |
159 | for(j=0;j<3;j++) fm[i][j] = matrix[i][j]; | |
160 | }// end for i | |
161 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); | |
162 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
163 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
164 | this->AngleFromMatrix(); | |
df5240ea | 165 | } |
166 | //---------------------------------------------------------------------- | |
167 | void AliITSgeomMatrix::SixAnglesFromMatrix(Double_t *ang){ | |
168 | //////////////////////////////////////////////////////////////////////// | |
169 | // This function returns the 6 GEANT 3.21 rotation angles [degrees] in | |
170 | // the array ang which must be at least [6] long. | |
171 | //////////////////////////////////////////////////////////////////////// | |
172 | Double_t si,c=180./TMath::Pi(); | |
173 | ||
174 | ang[1] = TMath::ATan2(fm[0][1],fm[0][0]); | |
175 | if(TMath::Cos(ang[1])!=0.0) si = fm[0][0]/TMath::Cos(ang[1]); | |
176 | else si = fm[0][1]/TMath::Sin(ang[1]); | |
177 | ang[0] = TMath::ATan2(si,fm[0][2]); | |
178 | ||
179 | ang[3] = TMath::ATan2(fm[1][1],fm[1][0]); | |
180 | if(TMath::Cos(ang[3])!=0.0) si = fm[1][0]/TMath::Cos(ang[3]); | |
181 | else si = fm[1][1]/TMath::Sin(ang[3]); | |
3f616de1 | 182 | ang[2] = TMath::ATan2(si,fm[1][2]); |
df5240ea | 183 | |
3f616de1 | 184 | ang[5] = TMath::ATan2(fm[2][1],fm[2][0]); |
185 | if(TMath::Cos(ang[5])!=0.0) si = fm[2][0]/TMath::Cos(ang[5]); | |
186 | else si = fm[2][1]/TMath::Sin(ang[5]); | |
187 | ang[4] = TMath::ATan2(si,fm[2][2]); | |
df5240ea | 188 | |
189 | for(Int_t i=0;i<6;i++) {ang[i] *= c; if(ang[i]<0.0) ang[i] += 360.;} | |
190 | } | |
191 | //---------------------------------------------------------------------- | |
192 | void AliITSgeomMatrix::MatrixFromSixAngles(const Double_t *ang){ | |
193 | //////////////////////////////////////////////////////////////////////// | |
194 | // Given the 6 GEANT 3.21 rotation angles [degree], this will compute and | |
195 | // set the rotations matrix and 3 standard rotation angles [radians]. | |
196 | // These angles and rotation matrix are overwrite the existing values in | |
197 | // this class. | |
198 | //////////////////////////////////////////////////////////////////////// | |
199 | Int_t i,j; | |
200 | Double_t si,lr[9],c=TMath::Pi()/180.; | |
201 | ||
202 | si = TMath::Sin(c*ang[0]); | |
203 | if(ang[0]== 90.0) si = +1.0; | |
204 | if(ang[0]==270.0) si = -1.0; | |
205 | if(ang[0]== 0.0||ang[0]==180.) si = 0.0; | |
206 | lr[0] = si * TMath::Cos(c*ang[1]); | |
207 | lr[1] = si * TMath::Sin(c*ang[1]); | |
208 | lr[2] = TMath::Cos(c*ang[0]); | |
209 | if(ang[0]== 90.0||ang[0]==270.) lr[2] = 0.0; | |
210 | if(ang[0]== 0.0) lr[2] = +1.0; | |
211 | if(ang[0]==180.0) lr[2] = -1.0; | |
212 | // | |
213 | si = TMath::Sin(c*ang[2]); | |
214 | if(ang[2]== 90.0) si = +1.0; | |
215 | if(ang[2]==270.0) si = -1.0; | |
216 | if(ang[2]== 0.0||ang[2]==180.) si = 0.0; | |
217 | lr[3] = si * TMath::Cos(c*ang[3]); | |
218 | lr[4] = si * TMath::Sin(c*ang[3]); | |
219 | lr[5] = TMath::Cos(c*ang[2]); | |
220 | if(ang[2]== 90.0||ang[2]==270.) lr[5] = 0.0; | |
221 | if(ang[2]== 0.0) lr[5] = +1.0; | |
222 | if(ang[2]==180.0) lr[5] = -1.0; | |
223 | // | |
224 | si = TMath::Sin(c*ang[4]); | |
225 | if(ang[4]== 90.0) si = +1.0; | |
226 | if(ang[4]==270.0) si = -1.0; | |
227 | if(ang[4]== 0.0||ang[4]==180.) si = 0.0; | |
228 | lr[6] = si * TMath::Cos(c*ang[5]); | |
229 | lr[7] = si * TMath::Sin(c*ang[5]); | |
230 | lr[8] = TMath::Cos(c*ang[4]); | |
231 | if(ang[4]== 90.0||ang[4]==270.0) lr[8] = 0.0; | |
232 | if(ang[4]== 0.0) lr[8] = +1.0; | |
233 | if(ang[4]==180.0) lr[8] = -1.0; | |
234 | // Normalize these elements and fill matrix fm. | |
235 | for(i=0;i<3;i++){// reuse si. | |
236 | si = 0.0; | |
237 | for(j=0;j<3;j++) si += lr[3*i+j]*lr[3*i+j]; | |
238 | si = TMath::Sqrt(1./si); | |
239 | for(j=0;j<3;j++) fm[i][j] = si*lr[3*i+j]; | |
240 | } // end for i | |
241 | this->AngleFromMatrix(); | |
242 | } | |
243 | //---------------------------------------------------------------------- | |
244 | AliITSgeomMatrix::AliITSgeomMatrix(const Double_t rotd[6]/*degrees*/, | |
245 | const Int_t idt,const Int_t id[3], | |
246 | const Double_t tran[3]){ | |
247 | //////////////////////////////////////////////////////////////////////// | |
248 | // This is a constructor for the AliITSgeomMatrix class. The matrix is | |
249 | // defined by the 6 GEANT 3.21 rotation angles [degrees], and the translation | |
250 | // vector tran [cm]. In addition the layer, ladder, and detector number | |
251 | // for this particular module and the type of module must be given. | |
252 | // The full rotation matrix is kept so that the evaluation | |
253 | // of a coordinate transformation can be done quickly and with a minimum | |
254 | // of CPU overhead. The basic coordinate systems are the ALICE global | |
255 | // coordinate system and the detector local coordinate system. In general | |
256 | // this structure is not limited to just those two coordinate systems. | |
257 | //Begin_Html | |
258 | /* | |
259 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
260 | */ | |
261 | //End_Html | |
262 | //////////////////////////////////////////////////////////////////////// | |
263 | Int_t i; | |
264 | ||
265 | fDetectorIndex = idt; // a value never defined. | |
266 | for(i=0;i<3;i++){ | |
267 | fid[i] = id[i]; | |
268 | ftran[i] = tran[i]; | |
269 | }// end for i | |
d8cc8493 | 270 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); |
271 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
272 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
df5240ea | 273 | this->MatrixFromSixAngles(rotd); |
274 | } | |
275 | //---------------------------------------------------------------------- | |
276 | void AliITSgeomMatrix::AngleFromMatrix(){ | |
277 | //////////////////////////////////////////////////////////////////////// | |
278 | // Computes the angles from the rotation matrix up to a phase of 180 degrees. | |
279 | //////////////////////////////////////////////////////////////////////// | |
280 | Double_t rx,ry,rz; | |
281 | // get angles from matrix up to a phase of 180 degrees. | |
282 | ||
283 | rx = TMath::ATan2(fm[2][1],fm[2][2]);if(rx<0.0) rx += 2.0*TMath::Pi(); | |
284 | ry = TMath::ASin(fm[0][2]); if(ry<0.0) ry += 2.0*TMath::Pi(); | |
285 | rz = TMath::ATan2(fm[1][1],fm[0][0]);if(rz<0.0) rz += 2.0*TMath::Pi(); | |
286 | frot[0] = rx; | |
287 | frot[1] = ry; | |
288 | frot[2] = rz; | |
289 | return; | |
290 | } | |
291 | //---------------------------------------------------------------------- | |
292 | void AliITSgeomMatrix::MatrixFromAngle(){ | |
293 | //////////////////////////////////////////////////////////////////////// | |
294 | // Computes the Rotation matrix from the angles [radians] kept in this | |
295 | // class. | |
296 | //////////////////////////////////////////////////////////////////////// | |
297 | Double_t sx,sy,sz,cx,cy,cz; | |
298 | ||
299 | sx = TMath::Sin(frot[0]); cx = TMath::Cos(frot[0]); | |
300 | sy = TMath::Sin(frot[1]); cy = TMath::Cos(frot[1]); | |
301 | sz = TMath::Sin(frot[2]); cz = TMath::Cos(frot[2]); | |
302 | fm[0][0] = cz*cy; // fr[0] | |
303 | fm[0][1] = -cz*sy*sx - sz*cx; // fr[1] | |
304 | fm[0][2] = -cz*sy*cx + sz*sx; // fr[2] | |
305 | fm[1][0] = sz*cy; // fr[3] | |
306 | fm[1][1] = -sz*sy*sx + cz*cx; // fr[4] | |
307 | fm[1][2] = -sz*sy*cx - cz*sx; // fr[5] | |
308 | fm[2][0] = sy; // fr[6] | |
309 | fm[2][1] = cy*sx; // fr[7] | |
310 | fm[2][2] = cy*cx; // fr[8] | |
311 | ||
312 | } | |
313 | //---------------------------------------------------------------------- | |
314 | void AliITSgeomMatrix::GtoLPosition(const Double_t g0[3],Double_t l[3]){ | |
315 | //////////////////////////////////////////////////////////////////////// | |
316 | // Returns the local coordinates given the global coordinates [cm]. | |
317 | //////////////////////////////////////////////////////////////////////// | |
318 | Int_t i,j; | |
319 | Double_t g[3]; | |
320 | ||
321 | for(i=0;i<3;i++) g[i] = g0[i] - ftran[i]; | |
322 | for(i=0;i<3;i++){ | |
323 | l[i] = 0.0; | |
324 | for(j=0;j<3;j++) l[i] += fm[i][j]*g[j]; | |
325 | // g = R l + translation | |
326 | } // end for i | |
327 | return; | |
328 | } | |
329 | //---------------------------------------------------------------------- | |
330 | void AliITSgeomMatrix::LtoGPosition(const Double_t l[3],Double_t g[3]){ | |
331 | //////////////////////////////////////////////////////////////////////// | |
332 | // Returns the global coordinates given the local coordinates [cm]. | |
333 | //////////////////////////////////////////////////////////////////////// | |
334 | Int_t i,j; | |
335 | ||
336 | for(i=0;i<3;i++){ | |
337 | g[i] = 0.0; | |
338 | for(j=0;j<3;j++) g[i] += fm[j][i]*l[j]; | |
339 | g[i] += ftran[i]; | |
340 | // g = R^t l + translation | |
341 | } // end for i | |
342 | return; | |
343 | } | |
344 | //---------------------------------------------------------------------- | |
345 | void AliITSgeomMatrix::GtoLMomentum(const Double_t g[3],Double_t l[3]){ | |
346 | //////////////////////////////////////////////////////////////////////// | |
347 | // Returns the local coordinates of the momentum given the global | |
348 | // coordinates of the momentum. It transforms just like GtoLPosition | |
349 | // except that the translation vector is zero. | |
350 | //////////////////////////////////////////////////////////////////////// | |
351 | Int_t i,j; | |
352 | ||
353 | for(i=0;i<3;i++){ | |
354 | l[i] = 0.0; | |
355 | for(j=0;j<3;j++) l[i] += fm[i][j]*g[j]; | |
356 | // g = R l | |
357 | } // end for i | |
358 | return; | |
359 | } | |
360 | //---------------------------------------------------------------------- | |
361 | void AliITSgeomMatrix::LtoGMomentum(const Double_t l[3],Double_t g[3]){ | |
362 | //////////////////////////////////////////////////////////////////////// | |
363 | // Returns the Global coordinates of the momentum given the local | |
364 | // coordinates of the momentum. It transforms just like LtoGPosition | |
365 | // except that the translation vector is zero. | |
366 | //////////////////////////////////////////////////////////////////////// | |
367 | Int_t i,j; | |
368 | ||
369 | for(i=0;i<3;i++){ | |
370 | g[i] = 0.0; | |
371 | for(j=0;j<3;j++) g[i] += fm[j][i]*l[j]; | |
372 | // g = R^t l | |
373 | } // end for i | |
374 | return; | |
375 | } | |
376 | //---------------------------------------------------------------------- | |
8d5bd3f9 | 377 | void AliITSgeomMatrix::GtoLPositionError( Double_t g[3][3], |
df5240ea | 378 | Double_t l[3][3]){ |
379 | //////////////////////////////////////////////////////////////////////// | |
380 | // Given an Uncertainty matrix in Global coordinates it is rotated so that | |
381 | // its representation in local coordinates can be returned. There is no | |
382 | // effect due to the translation vector or its uncertainty. | |
383 | //////////////////////////////////////////////////////////////////////// | |
384 | Int_t i,j,k,m; | |
385 | ||
ecb0c8bc | 386 | for(i=0;i<3;i++)for(m=0;m<3;m++){ |
387 | l[i][m] = 0.0; | |
388 | for(j=0;j<3;j++)for(k=0;k<3;k++) | |
389 | l[i][m] += fm[j][i]*g[j][k]*fm[k][m]; | |
390 | } // end for i,m | |
391 | // g = R^t l R | |
df5240ea | 392 | return; |
393 | } | |
394 | //---------------------------------------------------------------------- | |
8d5bd3f9 | 395 | void AliITSgeomMatrix::LtoGPositionError( Double_t l[3][3], |
df5240ea | 396 | Double_t g[3][3]){ |
397 | //////////////////////////////////////////////////////////////////////// | |
398 | // Given an Uncertainty matrix in Local coordinates it is rotated so that | |
399 | // its representation in global coordinates can be returned. There is no | |
400 | // effect due to the translation vector or its uncertainty. | |
401 | //////////////////////////////////////////////////////////////////////// | |
402 | Int_t i,j,k,m; | |
403 | ||
ecb0c8bc | 404 | for(i=0;i<3;i++)for(m=0;m<3;m++){ |
405 | g[i][m] = 0.0; | |
406 | for(j=0;j<3;j++)for(k=0;k<3;k++) | |
407 | g[i][m] += fm[i][j]*l[j][k]*fm[m][k]; | |
408 | } // end for i,m | |
409 | // g = R l R^t | |
df5240ea | 410 | return; |
411 | } | |
412 | //---------------------------------------------------------------------- | |
413 | void AliITSgeomMatrix::GtoLPositionTracking(const Double_t g0[3], | |
414 | Double_t l[3]){ | |
415 | //////////////////////////////////////////////////////////////////////// | |
416 | // A slightly different coordinate system is used when tracking. | |
417 | // This coordinate system is only relevant when the geometry represents | |
418 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
419 | // alone but X -> -Y and Y -> X such that X always points out of the | |
420 | // ITS Cylinder for every layer including layer 1 (where the detector | |
421 | // are mounted upside down). | |
422 | //Begin_Html | |
423 | /* | |
424 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
425 | */ | |
426 | //End_Html | |
427 | //////////////////////////////////////////////////////////////////////// | |
428 | Double_t l0[3]; | |
429 | ||
430 | this->GtoLPosition(g0,l0); | |
431 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
432 | // with respect to the others. | |
433 | l[0] = +l0[1]; | |
434 | l[1] = -l0[0]; | |
435 | l[2] = +l0[2]; | |
436 | }else{ | |
437 | l[0] = -l0[1]; | |
438 | l[1] = +l0[0]; | |
439 | l[2] = +l0[2]; | |
440 | } // end if | |
441 | return; | |
442 | } | |
443 | //---------------------------------------------------------------------- | |
444 | void AliITSgeomMatrix::LtoGPositionTracking(const Double_t l[3], | |
445 | Double_t g[3]){ | |
446 | //////////////////////////////////////////////////////////////////////// | |
447 | // A slightly different coordinate system is used when tracking. | |
448 | // This coordinate system is only relevant when the geometry represents | |
449 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
450 | // alone but X -> -Y and Y -> X such that X always points out of the | |
451 | // ITS Cylinder for every layer including layer 1 (where the detector | |
452 | // are mounted upside down). | |
453 | //Begin_Html | |
454 | /* | |
455 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
456 | */ | |
457 | //End_Html | |
458 | //////////////////////////////////////////////////////////////////////// | |
459 | Double_t l0[3]; | |
460 | ||
461 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
462 | // with respect to the others. | |
463 | l0[0] = -l[1]; | |
464 | l0[1] = +l[0]; | |
465 | l0[2] = +l[2]; | |
466 | }else{ | |
467 | l0[0] = +l[1]; | |
468 | l0[1] = -l[0]; | |
469 | l0[2] = +l[2]; | |
470 | } // end if | |
471 | this->LtoGPosition(l0,g); | |
472 | return; | |
473 | } | |
474 | //---------------------------------------------------------------------- | |
475 | void AliITSgeomMatrix::GtoLMomentumTracking(const Double_t g[3], | |
476 | Double_t l[3]){ | |
477 | //////////////////////////////////////////////////////////////////////// | |
478 | // A slightly different coordinate system is used when tracking. | |
479 | // This coordinate system is only relevant when the geometry represents | |
480 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
481 | // alone but X -> -Y and Y -> X such that X always points out of the | |
482 | // ITS Cylinder for every layer including layer 1 (where the detector | |
483 | // are mounted upside down). | |
484 | //Begin_Html | |
485 | /* | |
486 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
487 | */ | |
488 | //End_Html | |
489 | //////////////////////////////////////////////////////////////////////// | |
490 | Double_t l0[3]; | |
491 | ||
492 | this->GtoLMomentum(g,l0); | |
493 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
494 | // with respect to the others. | |
495 | l[0] = +l0[1]; | |
496 | l[1] = -l0[0]; | |
497 | l[2] = +l0[2]; | |
498 | }else{ | |
499 | l[0] = -l0[1]; | |
500 | l[1] = +l0[0]; | |
501 | l[2] = +l0[2]; | |
502 | } // end if | |
503 | return; | |
df5240ea | 504 | } |
505 | //---------------------------------------------------------------------- | |
506 | void AliITSgeomMatrix::LtoGMomentumTracking(const Double_t l[3], | |
507 | Double_t g[3]){ | |
508 | //////////////////////////////////////////////////////////////////////// | |
509 | // A slightly different coordinate system is used when tracking. | |
510 | // This coordinate system is only relevant when the geometry represents | |
511 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
512 | // alone but X -> -Y and Y -> X such that X always points out of the | |
513 | // ITS Cylinder for every layer including layer 1 (where the detector | |
514 | // are mounted upside down). | |
515 | //Begin_Html | |
516 | /* | |
517 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
518 | */ | |
519 | //End_Html | |
520 | //////////////////////////////////////////////////////////////////////// | |
521 | Double_t l0[3]; | |
522 | ||
523 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
524 | // with respect to the others. | |
525 | l0[0] = -l[1]; | |
526 | l0[1] = +l[0]; | |
527 | l0[2] = +l[2]; | |
528 | }else{ | |
529 | l0[0] = +l[1]; | |
530 | l0[1] = -l[0]; | |
531 | l0[2] = +l[2]; | |
532 | } // end if | |
533 | this->LtoGMomentum(l0,g); | |
534 | return; | |
535 | } | |
536 | //---------------------------------------------------------------------- | |
8d5bd3f9 | 537 | void AliITSgeomMatrix::GtoLPositionErrorTracking( Double_t g[3][3], |
df5240ea | 538 | Double_t l[3][3]){ |
539 | //////////////////////////////////////////////////////////////////////// | |
540 | // A slightly different coordinate system is used when tracking. | |
541 | // This coordinate system is only relevant when the geometry represents | |
542 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
543 | // alone but X -> -Y and Y -> X such that X always points out of the | |
544 | // ITS Cylinder for every layer including layer 1 (where the detector | |
545 | // are mounted upside down). | |
546 | //Begin_Html | |
547 | /* | |
548 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
549 | */ | |
550 | //End_Html | |
551 | //////////////////////////////////////////////////////////////////////// | |
552 | Int_t i,j,k,m; | |
85f1e34a | 553 | Double_t rt[3][3]; |
554 | Double_t a0[3][3] = {{0.,+1.,0.},{-1.,0.,0.},{0.,0.,+1.}}; | |
555 | Double_t a1[3][3] = {{0.,-1.,0.},{+1.,0.,0.},{0.,0.,+1.}}; | |
df5240ea | 556 | |
557 | if(fid[0]==1) for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) | |
85f1e34a | 558 | rt[i][k] = a0[i][j]*fm[j][k]; |
df5240ea | 559 | else for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) |
85f1e34a | 560 | rt[i][k] = a1[i][j]*fm[j][k]; |
ecb0c8bc | 561 | for(i=0;i<3;i++)for(m=0;m<3;m++){ |
562 | l[i][m] = 0.0; | |
563 | for(j=0;j<3;j++)for(k=0;k<3;k++) | |
564 | l[i][m] += rt[j][i]*g[j][k]*rt[k][m]; | |
565 | } // end for i,m | |
566 | // g = R^t l R | |
df5240ea | 567 | return; |
568 | } | |
569 | //---------------------------------------------------------------------- | |
8d5bd3f9 | 570 | void AliITSgeomMatrix::LtoGPositionErrorTracking( Double_t l[3][3], |
df5240ea | 571 | Double_t g[3][3]){ |
572 | //////////////////////////////////////////////////////////////////////// | |
573 | // A slightly different coordinate system is used when tracking. | |
574 | // This coordinate system is only relevant when the geometry represents | |
575 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
576 | // alone but X -> -Y and Y -> X such that X always points out of the | |
577 | // ITS Cylinder for every layer including layer 1 (where the detector | |
578 | // are mounted upside down). | |
579 | //Begin_Html | |
580 | /* | |
581 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
582 | */ | |
583 | //End_Html | |
584 | //////////////////////////////////////////////////////////////////////// | |
585 | Int_t i,j,k,m; | |
85f1e34a | 586 | Double_t rt[3][3]; |
587 | Double_t a0[3][3] = {{0.,+1.,0.},{-1.,0.,0.},{0.,0.,+1.}}; | |
588 | Double_t a1[3][3] = {{0.,-1.,0.},{+1.,0.,0.},{0.,0.,+1.}}; | |
df5240ea | 589 | |
590 | if(fid[0]==1) for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) | |
85f1e34a | 591 | rt[i][k] = a0[i][j]*fm[j][k]; |
df5240ea | 592 | else for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) |
85f1e34a | 593 | rt[i][k] = a1[i][j]*fm[j][k]; |
ecb0c8bc | 594 | for(i=0;i<3;i++)for(m=0;m<3;m++){ |
595 | g[i][m] = 0.0; | |
596 | for(j=0;j<3;j++)for(k=0;k<3;k++) | |
597 | g[i][m] += rt[i][j]*l[j][k]*rt[m][k]; | |
598 | } // end for i,m | |
599 | // g = R l R^t | |
df5240ea | 600 | return; |
601 | } | |
602 | //---------------------------------------------------------------------- | |
603 | void AliITSgeomMatrix::PrintTitles(ostream *os){ | |
604 | //////////////////////////////////////////////////////////////////////// | |
605 | // Standard output format for this class but it includes variable | |
606 | // names and formatting that makes it easer to read. | |
607 | //////////////////////////////////////////////////////////////////////// | |
608 | Int_t i,j; | |
609 | ||
610 | *os << "fDetectorIndex=" << fDetectorIndex << " fid[3]={"; | |
611 | for(i=0;i<3;i++) *os << fid[i] << " "; | |
612 | *os << "} frot[3]={"; | |
613 | for(i=0;i<3;i++) *os << frot[i] << " "; | |
614 | *os << "} ftran[3]={"; | |
615 | for(i=0;i<3;i++) *os << ftran[i] << " "; | |
616 | *os << "} fm[3][3]={"; | |
617 | for(i=0;i<3;i++){for(j=0;j<3;j++){ *os << fm[i][j] << " ";} *os <<"}{";} | |
618 | *os << "}" << endl; | |
619 | return; | |
620 | } | |
621 | //---------------------------------------------------------------------- | |
8253cd9a | 622 | void AliITSgeomMatrix::PrintComment(ostream *os){ |
623 | //////////////////////////////////////////////////////////////////////// | |
624 | // output format used by Print.. | |
625 | //////////////////////////////////////////////////////////////////////// | |
626 | *os << "fDetectorIndex fid[0] fid[1] fid[2] ftran[0] ftran[1] ftran[2] "; | |
627 | *os << "fm[0][0] fm[0][1] fm[0][2] fm[1][0] fm[1][1] fm[1][2] "; | |
628 | *os << "fm[2][0] fm[2][1] fm[2][2] "; | |
629 | return; | |
630 | } | |
631 | //---------------------------------------------------------------------- | |
632 | void AliITSgeomMatrix::Print(ostream *os){ | |
df5240ea | 633 | //////////////////////////////////////////////////////////////////////// |
634 | // Standard output format for this class. | |
635 | //////////////////////////////////////////////////////////////////////// | |
636 | Int_t i,j; | |
431a7819 | 637 | #if defined __GNUC__ |
638 | #if __GNUC__ > 2 | |
639 | ios::fmtflags fmt; | |
640 | #else | |
641 | Int_t fmt; | |
642 | #endif | |
94831058 | 643 | #else |
d9f43611 | 644 | #if defined __ICC || defined __ECC |
94831058 | 645 | ios::fmtflags fmt; |
431a7819 | 646 | #else |
31b8cd63 | 647 | Int_t fmt; |
94831058 | 648 | #endif |
431a7819 | 649 | #endif |
df5240ea | 650 | |
8253cd9a | 651 | fmt = os->setf(ios::scientific); // set scientific floating point output |
df5240ea | 652 | *os << fDetectorIndex << " "; |
653 | for(i=0;i<3;i++) *os << fid[i] << " "; | |
8253cd9a | 654 | // for(i=0;i<3;i++) *os << frot[i] << " "; // Redundant with fm[][]. |
655 | for(i=0;i<3;i++) *os << setprecision(16) << ftran[i] << " "; | |
656 | for(i=0;i<3;i++)for(j=0;j<3;j++) *os << setprecision(16) << | |
657 | fm[i][j] << " "; | |
df5240ea | 658 | *os << endl; |
8253cd9a | 659 | os->flags(fmt); // reset back to old formating. |
df5240ea | 660 | return; |
661 | } | |
662 | //---------------------------------------------------------------------- | |
8253cd9a | 663 | void AliITSgeomMatrix::Read(istream *is){ |
df5240ea | 664 | //////////////////////////////////////////////////////////////////////// |
665 | // Standard input format for this class. | |
666 | //////////////////////////////////////////////////////////////////////// | |
667 | Int_t i,j; | |
668 | ||
669 | *is >> fDetectorIndex; | |
670 | for(i=0;i<3;i++) *is >> fid[i]; | |
8253cd9a | 671 | // for(i=0;i<3;i++) *is >> frot[i]; // Redundant with fm[][]. |
df5240ea | 672 | for(i=0;i<3;i++) *is >> ftran[i]; |
673 | for(i=0;i<3;i++)for(j=0;j<3;j++) *is >> fm[i][j]; | |
8253cd9a | 674 | AngleFromMatrix(); // compute angles frot[]. |
d8cc8493 | 675 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); |
676 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
677 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
df5240ea | 678 | return; |
679 | } | |
d8cc8493 | 680 | //______________________________________________________________________ |
681 | void AliITSgeomMatrix::Streamer(TBuffer &R__b){ | |
682 | // Stream an object of class AliITSgeomMatrix. | |
683 | ||
684 | if (R__b.IsReading()) { | |
685 | AliITSgeomMatrix::Class()->ReadBuffer(R__b, this); | |
686 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); | |
687 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
688 | this->AngleFromMatrix(); | |
689 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
690 | } else { | |
691 | AliITSgeomMatrix::Class()->WriteBuffer(R__b, this); | |
692 | } | |
693 | } | |
df5240ea | 694 | //---------------------------------------------------------------------- |
695 | ostream &operator<<(ostream &os,AliITSgeomMatrix &p){ | |
696 | //////////////////////////////////////////////////////////////////////// | |
697 | // Standard output streaming function. | |
698 | //////////////////////////////////////////////////////////////////////// | |
699 | ||
8253cd9a | 700 | p.Print(&os); |
df5240ea | 701 | return os; |
702 | } | |
703 | //---------------------------------------------------------------------- | |
704 | istream &operator>>(istream &is,AliITSgeomMatrix &r){ | |
705 | //////////////////////////////////////////////////////////////////////// | |
706 | // Standard input streaming function. | |
707 | //////////////////////////////////////////////////////////////////////// | |
708 | ||
8253cd9a | 709 | r.Read(&is); |
df5240ea | 710 | return is; |
711 | } | |
8253cd9a | 712 | //---------------------------------------------------------------------- |