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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 | ||
16 | /* | |
17 | $Log$ | |
d8cc8493 | 18 | Revision 1.8 2001/02/09 00:00:57 nilsen |
19 | Fixed compatibility problem with HP unix {ios::fmtflags -> Int_t}. Fixed | |
20 | bugs in iostream based streamers used to read and write .det files. Fixed | |
21 | some detector sizes. Fixed bugs in some default-special constructors. | |
22 | ||
31b8cd63 | 23 | Revision 1.7 2001/02/03 00:00:30 nilsen |
24 | New version of AliITSgeom and related files. Now uses automatic streamers, | |
25 | set up for new formatted .det file which includes detector information. | |
26 | Additional smaller modifications are still to come. | |
27 | ||
a8a6107b | 28 | Revision 1.5 2000/10/02 16:32:35 barbera |
29 | Forward declaration added | |
30 | ||
92c19c36 | 31 | Revision 1.1.2.6 2000/10/02 15:52:05 barbera |
32 | Forward declaration added | |
33 | ||
34 | Revision 1.4 2000/09/07 17:30:45 nilsen | |
35 | fixed a bug in SixAnglesFromMatrix. | |
36 | ||
3f616de1 | 37 | Revision 1.3 2000/09/05 14:25:50 nilsen |
38 | Made fixes for HP compiler. All function parameter default values placed | |
39 | in .h file. Fixed the usual problem with HP comilers and the "for(Int_t i..." | |
40 | business. Replaced casting (Double_t [3][3]) to (Double_t (*)[3]) for HP. | |
41 | Lastly removed all "const" before function parameters which were 2 dim. arrays, | |
42 | because on HP root generates some strange code (?). Thanks Peter for the | |
43 | changes. | |
44 | ||
d962cab4 | 45 | Revision 1.2 2000/08/29 20:16:50 nilsen |
46 | New class for ITS coordiante transformations used by AliITSgeom nearly | |
47 | exclusively. | |
48 | ||
df5240ea | 49 | Revision 1.1.2.1 2000/06/04 16:32:31 Nilsen |
50 | A new class to hold the matrix information needed by AliITSgeom. | |
51 | ||
52 | */ | |
53 | #include <iostream.h> | |
8253cd9a | 54 | #include <iomanip.h> |
df5240ea | 55 | #include <TMath.h> |
56 | #include <TBuffer.h> | |
d8cc8493 | 57 | #include <TClass.h> |
df5240ea | 58 | |
59 | #include "AliITSgeomMatrix.h" | |
60 | ||
61 | ClassImp(AliITSgeomMatrix) | |
62 | //---------------------------------------------------------------------- | |
63 | AliITSgeomMatrix::AliITSgeomMatrix(){ | |
64 | //////////////////////////////////////////////////////////////////////// | |
65 | // The Default constructor for the AliITSgeomMatrix class. By Default | |
66 | // the angles of rotations are set to zero, meaning that the rotation | |
67 | // matrix is the unit matrix. The translation vector is also set to zero | |
68 | // as are the module id number. The detector type is set to -1 (an undefined | |
69 | // value). The full rotation matrix is kept so that the evaluation | |
70 | // of a coordinate transformation can be done quickly and with a minimum | |
71 | // of CPU overhead. The basic coordinate systems are the ALICE global | |
72 | // coordinate system and the detector local coordinate system. In general | |
73 | // this structure is not limited to just those two coordinate systems. | |
74 | //Begin_Html | |
75 | /* | |
76 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
77 | */ | |
78 | //End_Html | |
79 | //////////////////////////////////////////////////////////////////////// | |
80 | Int_t i,j; | |
81 | ||
82 | fDetectorIndex = -1; // a value never defined. | |
83 | for(i=0;i<3;i++){ | |
84 | fid[i] = 0; | |
85 | frot[i] = ftran[i] = 0.0; | |
86 | for(j=0;j<3;j++) fm[i][j] = 0.0; | |
d8cc8493 | 87 | fCylR = fCylPhi = 0.0; |
df5240ea | 88 | }// end for i |
89 | fm[0][0] = fm[1][1] = fm[2][2] = 1.0; | |
90 | } | |
91 | //---------------------------------------------------------------------- | |
92 | AliITSgeomMatrix::AliITSgeomMatrix(const AliITSgeomMatrix &sourse){ | |
93 | //////////////////////////////////////////////////////////////////////// | |
94 | // The standard copy constructor. This make a full / proper copy of | |
95 | // this class. | |
96 | //////////////////////////////////////////////////////////////////////// | |
97 | Int_t i,j; | |
98 | ||
99 | this->fDetectorIndex = sourse.fDetectorIndex; | |
100 | for(i=0;i<3;i++){ | |
101 | this->fid[i] = sourse.fid[i]; | |
102 | this->frot[i] = sourse.frot[i]; | |
103 | this->ftran[i] = sourse.ftran[i]; | |
d8cc8493 | 104 | this->fCylR = sourse.fCylR; |
105 | this->fCylPhi = sourse.fCylPhi; | |
df5240ea | 106 | for(j=0;j<3;j++) this->fm[i][j] = sourse.fm[i][j]; |
107 | }// end for i | |
108 | } | |
109 | //---------------------------------------------------------------------- | |
110 | void AliITSgeomMatrix::operator=(const AliITSgeomMatrix &sourse){ | |
111 | //////////////////////////////////////////////////////////////////////// | |
112 | // The standard = operator. This make a full / proper copy of | |
113 | // this class. | |
114 | //////////////////////////////////////////////////////////////////////// | |
115 | Int_t i,j; | |
116 | ||
117 | this->fDetectorIndex = sourse.fDetectorIndex; | |
118 | for(i=0;i<3;i++){ | |
119 | this->fid[i] = sourse.fid[i]; | |
120 | this->frot[i] = sourse.frot[i]; | |
121 | this->ftran[i] = sourse.ftran[i]; | |
d8cc8493 | 122 | this->fCylR = sourse.fCylR; |
123 | this->fCylPhi = sourse.fCylPhi; | |
df5240ea | 124 | for(j=0;j<3;j++) this->fm[i][j] = sourse.fm[i][j]; |
125 | }// end for i | |
126 | } | |
127 | //---------------------------------------------------------------------- | |
128 | AliITSgeomMatrix::AliITSgeomMatrix(const Int_t idt,const Int_t id[3], | |
129 | const Double_t rot[3],const Double_t tran[3]){ | |
130 | //////////////////////////////////////////////////////////////////////// | |
131 | // This is a constructor for the AliITSgeomMatrix class. The matrix is | |
132 | // defined by 3 standard rotation angles [radians], and the translation | |
133 | // vector tran [cm]. In addition the layer, ladder, and detector number | |
134 | // for this particular module and the type of module must be given. | |
135 | // The full rotation matrix is kept so that the evaluation | |
136 | // of a coordinate transformation can be done quickly and with a minimum | |
137 | // of CPU overhead. The basic coordinate systems are the ALICE global | |
138 | // coordinate system and the detector local coordinate system. In general | |
139 | // this structure is not limited to just those two coordinate systems. | |
140 | //Begin_Html | |
141 | /* | |
142 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
143 | */ | |
144 | //End_Html | |
145 | //////////////////////////////////////////////////////////////////////// | |
d8cc8493 | 146 | Int_t i; |
df5240ea | 147 | |
d8cc8493 | 148 | fDetectorIndex = idt; // a value never defined. |
149 | for(i=0;i<3;i++){ | |
150 | fid[i] = id[i]; | |
151 | frot[i] = rot[i]; | |
152 | ftran[i] = tran[i]; | |
153 | }// end for i | |
154 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); | |
155 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
156 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
157 | this->MatrixFromAngle(); | |
df5240ea | 158 | } |
159 | //---------------------------------------------------------------------- | |
160 | AliITSgeomMatrix::AliITSgeomMatrix(const Int_t idt, const Int_t id[3], | |
d962cab4 | 161 | Double_t matrix[3][3], |
df5240ea | 162 | const Double_t tran[3]){ |
163 | //////////////////////////////////////////////////////////////////////// | |
164 | // This is a constructor for the AliITSgeomMatrix class. The rotation matrix | |
165 | // is given as one of the inputs, and the translation vector tran [cm]. In | |
166 | // addition the layer, ladder, and detector number for this particular | |
167 | // module and the type of module must be given. The full rotation matrix | |
168 | // is kept so that the evaluation of a coordinate transformation can be | |
169 | // done quickly and with a minimum of CPU overhead. The basic coordinate | |
170 | // systems are the ALICE global coordinate system and the detector local | |
171 | // coordinate system. In general this structure is not limited to just | |
172 | // those two coordinate systems. | |
173 | //Begin_Html | |
174 | /* | |
175 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
176 | */ | |
177 | //End_Html | |
178 | //////////////////////////////////////////////////////////////////////// | |
d8cc8493 | 179 | Int_t i,j; |
df5240ea | 180 | |
d8cc8493 | 181 | fDetectorIndex = idt; // a value never defined. |
182 | for(i=0;i<3;i++){ | |
183 | fid[i] = id[i]; | |
184 | ftran[i] = tran[i]; | |
185 | for(j=0;j<3;j++) fm[i][j] = matrix[i][j]; | |
186 | }// end for i | |
187 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); | |
188 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
189 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
190 | this->AngleFromMatrix(); | |
df5240ea | 191 | } |
192 | //---------------------------------------------------------------------- | |
193 | void AliITSgeomMatrix::SixAnglesFromMatrix(Double_t *ang){ | |
194 | //////////////////////////////////////////////////////////////////////// | |
195 | // This function returns the 6 GEANT 3.21 rotation angles [degrees] in | |
196 | // the array ang which must be at least [6] long. | |
197 | //////////////////////////////////////////////////////////////////////// | |
198 | Double_t si,c=180./TMath::Pi(); | |
199 | ||
200 | ang[1] = TMath::ATan2(fm[0][1],fm[0][0]); | |
201 | if(TMath::Cos(ang[1])!=0.0) si = fm[0][0]/TMath::Cos(ang[1]); | |
202 | else si = fm[0][1]/TMath::Sin(ang[1]); | |
203 | ang[0] = TMath::ATan2(si,fm[0][2]); | |
204 | ||
205 | ang[3] = TMath::ATan2(fm[1][1],fm[1][0]); | |
206 | if(TMath::Cos(ang[3])!=0.0) si = fm[1][0]/TMath::Cos(ang[3]); | |
207 | else si = fm[1][1]/TMath::Sin(ang[3]); | |
3f616de1 | 208 | ang[2] = TMath::ATan2(si,fm[1][2]); |
df5240ea | 209 | |
3f616de1 | 210 | ang[5] = TMath::ATan2(fm[2][1],fm[2][0]); |
211 | if(TMath::Cos(ang[5])!=0.0) si = fm[2][0]/TMath::Cos(ang[5]); | |
212 | else si = fm[2][1]/TMath::Sin(ang[5]); | |
213 | ang[4] = TMath::ATan2(si,fm[2][2]); | |
df5240ea | 214 | |
215 | for(Int_t i=0;i<6;i++) {ang[i] *= c; if(ang[i]<0.0) ang[i] += 360.;} | |
216 | } | |
217 | //---------------------------------------------------------------------- | |
218 | void AliITSgeomMatrix::MatrixFromSixAngles(const Double_t *ang){ | |
219 | //////////////////////////////////////////////////////////////////////// | |
220 | // Given the 6 GEANT 3.21 rotation angles [degree], this will compute and | |
221 | // set the rotations matrix and 3 standard rotation angles [radians]. | |
222 | // These angles and rotation matrix are overwrite the existing values in | |
223 | // this class. | |
224 | //////////////////////////////////////////////////////////////////////// | |
225 | Int_t i,j; | |
226 | Double_t si,lr[9],c=TMath::Pi()/180.; | |
227 | ||
228 | si = TMath::Sin(c*ang[0]); | |
229 | if(ang[0]== 90.0) si = +1.0; | |
230 | if(ang[0]==270.0) si = -1.0; | |
231 | if(ang[0]== 0.0||ang[0]==180.) si = 0.0; | |
232 | lr[0] = si * TMath::Cos(c*ang[1]); | |
233 | lr[1] = si * TMath::Sin(c*ang[1]); | |
234 | lr[2] = TMath::Cos(c*ang[0]); | |
235 | if(ang[0]== 90.0||ang[0]==270.) lr[2] = 0.0; | |
236 | if(ang[0]== 0.0) lr[2] = +1.0; | |
237 | if(ang[0]==180.0) lr[2] = -1.0; | |
238 | // | |
239 | si = TMath::Sin(c*ang[2]); | |
240 | if(ang[2]== 90.0) si = +1.0; | |
241 | if(ang[2]==270.0) si = -1.0; | |
242 | if(ang[2]== 0.0||ang[2]==180.) si = 0.0; | |
243 | lr[3] = si * TMath::Cos(c*ang[3]); | |
244 | lr[4] = si * TMath::Sin(c*ang[3]); | |
245 | lr[5] = TMath::Cos(c*ang[2]); | |
246 | if(ang[2]== 90.0||ang[2]==270.) lr[5] = 0.0; | |
247 | if(ang[2]== 0.0) lr[5] = +1.0; | |
248 | if(ang[2]==180.0) lr[5] = -1.0; | |
249 | // | |
250 | si = TMath::Sin(c*ang[4]); | |
251 | if(ang[4]== 90.0) si = +1.0; | |
252 | if(ang[4]==270.0) si = -1.0; | |
253 | if(ang[4]== 0.0||ang[4]==180.) si = 0.0; | |
254 | lr[6] = si * TMath::Cos(c*ang[5]); | |
255 | lr[7] = si * TMath::Sin(c*ang[5]); | |
256 | lr[8] = TMath::Cos(c*ang[4]); | |
257 | if(ang[4]== 90.0||ang[4]==270.0) lr[8] = 0.0; | |
258 | if(ang[4]== 0.0) lr[8] = +1.0; | |
259 | if(ang[4]==180.0) lr[8] = -1.0; | |
260 | // Normalize these elements and fill matrix fm. | |
261 | for(i=0;i<3;i++){// reuse si. | |
262 | si = 0.0; | |
263 | for(j=0;j<3;j++) si += lr[3*i+j]*lr[3*i+j]; | |
264 | si = TMath::Sqrt(1./si); | |
265 | for(j=0;j<3;j++) fm[i][j] = si*lr[3*i+j]; | |
266 | } // end for i | |
267 | this->AngleFromMatrix(); | |
268 | } | |
269 | //---------------------------------------------------------------------- | |
270 | AliITSgeomMatrix::AliITSgeomMatrix(const Double_t rotd[6]/*degrees*/, | |
271 | const Int_t idt,const Int_t id[3], | |
272 | const Double_t tran[3]){ | |
273 | //////////////////////////////////////////////////////////////////////// | |
274 | // This is a constructor for the AliITSgeomMatrix class. The matrix is | |
275 | // defined by the 6 GEANT 3.21 rotation angles [degrees], and the translation | |
276 | // vector tran [cm]. In addition the layer, ladder, and detector number | |
277 | // for this particular module and the type of module must be given. | |
278 | // The full rotation matrix is kept so that the evaluation | |
279 | // of a coordinate transformation can be done quickly and with a minimum | |
280 | // of CPU overhead. The basic coordinate systems are the ALICE global | |
281 | // coordinate system and the detector local coordinate system. In general | |
282 | // this structure is not limited to just those two coordinate systems. | |
283 | //Begin_Html | |
284 | /* | |
285 | <img src="picts/ITS/AliISgeomMatrix_L1.gif"> | |
286 | */ | |
287 | //End_Html | |
288 | //////////////////////////////////////////////////////////////////////// | |
289 | Int_t i; | |
290 | ||
291 | fDetectorIndex = idt; // a value never defined. | |
292 | for(i=0;i<3;i++){ | |
293 | fid[i] = id[i]; | |
294 | ftran[i] = tran[i]; | |
295 | }// end for i | |
d8cc8493 | 296 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); |
297 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
298 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
df5240ea | 299 | this->MatrixFromSixAngles(rotd); |
300 | } | |
301 | //---------------------------------------------------------------------- | |
302 | void AliITSgeomMatrix::AngleFromMatrix(){ | |
303 | //////////////////////////////////////////////////////////////////////// | |
304 | // Computes the angles from the rotation matrix up to a phase of 180 degrees. | |
305 | //////////////////////////////////////////////////////////////////////// | |
306 | Double_t rx,ry,rz; | |
307 | // get angles from matrix up to a phase of 180 degrees. | |
308 | ||
309 | rx = TMath::ATan2(fm[2][1],fm[2][2]);if(rx<0.0) rx += 2.0*TMath::Pi(); | |
310 | ry = TMath::ASin(fm[0][2]); if(ry<0.0) ry += 2.0*TMath::Pi(); | |
311 | rz = TMath::ATan2(fm[1][1],fm[0][0]);if(rz<0.0) rz += 2.0*TMath::Pi(); | |
312 | frot[0] = rx; | |
313 | frot[1] = ry; | |
314 | frot[2] = rz; | |
315 | return; | |
316 | } | |
317 | //---------------------------------------------------------------------- | |
318 | void AliITSgeomMatrix::MatrixFromAngle(){ | |
319 | //////////////////////////////////////////////////////////////////////// | |
320 | // Computes the Rotation matrix from the angles [radians] kept in this | |
321 | // class. | |
322 | //////////////////////////////////////////////////////////////////////// | |
323 | Double_t sx,sy,sz,cx,cy,cz; | |
324 | ||
325 | sx = TMath::Sin(frot[0]); cx = TMath::Cos(frot[0]); | |
326 | sy = TMath::Sin(frot[1]); cy = TMath::Cos(frot[1]); | |
327 | sz = TMath::Sin(frot[2]); cz = TMath::Cos(frot[2]); | |
328 | fm[0][0] = cz*cy; // fr[0] | |
329 | fm[0][1] = -cz*sy*sx - sz*cx; // fr[1] | |
330 | fm[0][2] = -cz*sy*cx + sz*sx; // fr[2] | |
331 | fm[1][0] = sz*cy; // fr[3] | |
332 | fm[1][1] = -sz*sy*sx + cz*cx; // fr[4] | |
333 | fm[1][2] = -sz*sy*cx - cz*sx; // fr[5] | |
334 | fm[2][0] = sy; // fr[6] | |
335 | fm[2][1] = cy*sx; // fr[7] | |
336 | fm[2][2] = cy*cx; // fr[8] | |
337 | ||
338 | } | |
339 | //---------------------------------------------------------------------- | |
340 | void AliITSgeomMatrix::GtoLPosition(const Double_t g0[3],Double_t l[3]){ | |
341 | //////////////////////////////////////////////////////////////////////// | |
342 | // Returns the local coordinates given the global coordinates [cm]. | |
343 | //////////////////////////////////////////////////////////////////////// | |
344 | Int_t i,j; | |
345 | Double_t g[3]; | |
346 | ||
347 | for(i=0;i<3;i++) g[i] = g0[i] - ftran[i]; | |
348 | for(i=0;i<3;i++){ | |
349 | l[i] = 0.0; | |
350 | for(j=0;j<3;j++) l[i] += fm[i][j]*g[j]; | |
351 | // g = R l + translation | |
352 | } // end for i | |
353 | return; | |
354 | } | |
355 | //---------------------------------------------------------------------- | |
356 | void AliITSgeomMatrix::LtoGPosition(const Double_t l[3],Double_t g[3]){ | |
357 | //////////////////////////////////////////////////////////////////////// | |
358 | // Returns the global coordinates given the local coordinates [cm]. | |
359 | //////////////////////////////////////////////////////////////////////// | |
360 | Int_t i,j; | |
361 | ||
362 | for(i=0;i<3;i++){ | |
363 | g[i] = 0.0; | |
364 | for(j=0;j<3;j++) g[i] += fm[j][i]*l[j]; | |
365 | g[i] += ftran[i]; | |
366 | // g = R^t l + translation | |
367 | } // end for i | |
368 | return; | |
369 | } | |
370 | //---------------------------------------------------------------------- | |
371 | void AliITSgeomMatrix::GtoLMomentum(const Double_t g[3],Double_t l[3]){ | |
372 | //////////////////////////////////////////////////////////////////////// | |
373 | // Returns the local coordinates of the momentum given the global | |
374 | // coordinates of the momentum. It transforms just like GtoLPosition | |
375 | // except that the translation vector is zero. | |
376 | //////////////////////////////////////////////////////////////////////// | |
377 | Int_t i,j; | |
378 | ||
379 | for(i=0;i<3;i++){ | |
380 | l[i] = 0.0; | |
381 | for(j=0;j<3;j++) l[i] += fm[i][j]*g[j]; | |
382 | // g = R l | |
383 | } // end for i | |
384 | return; | |
385 | } | |
386 | //---------------------------------------------------------------------- | |
387 | void AliITSgeomMatrix::LtoGMomentum(const Double_t l[3],Double_t g[3]){ | |
388 | //////////////////////////////////////////////////////////////////////// | |
389 | // Returns the Global coordinates of the momentum given the local | |
390 | // coordinates of the momentum. It transforms just like LtoGPosition | |
391 | // except that the translation vector is zero. | |
392 | //////////////////////////////////////////////////////////////////////// | |
393 | Int_t i,j; | |
394 | ||
395 | for(i=0;i<3;i++){ | |
396 | g[i] = 0.0; | |
397 | for(j=0;j<3;j++) g[i] += fm[j][i]*l[j]; | |
398 | // g = R^t l | |
399 | } // end for i | |
400 | return; | |
401 | } | |
402 | //---------------------------------------------------------------------- | |
d962cab4 | 403 | void AliITSgeomMatrix::GtoLPositionError(Double_t g[3][3], |
df5240ea | 404 | Double_t l[3][3]){ |
405 | //////////////////////////////////////////////////////////////////////// | |
406 | // Given an Uncertainty matrix in Global coordinates it is rotated so that | |
407 | // its representation in local coordinates can be returned. There is no | |
408 | // effect due to the translation vector or its uncertainty. | |
409 | //////////////////////////////////////////////////////////////////////// | |
410 | Int_t i,j,k,m; | |
411 | ||
412 | for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++)for(m=0;m<3;m++) | |
413 | l[i][m] = fm[j][i]*g[j][k]*fm[k][m]; | |
414 | // g = R^t l R | |
415 | return; | |
416 | } | |
417 | //---------------------------------------------------------------------- | |
d962cab4 | 418 | void AliITSgeomMatrix::LtoGPositionError(Double_t l[3][3], |
df5240ea | 419 | Double_t g[3][3]){ |
420 | //////////////////////////////////////////////////////////////////////// | |
421 | // Given an Uncertainty matrix in Local coordinates it is rotated so that | |
422 | // its representation in global coordinates can be returned. There is no | |
423 | // effect due to the translation vector or its uncertainty. | |
424 | //////////////////////////////////////////////////////////////////////// | |
425 | Int_t i,j,k,m; | |
426 | ||
427 | for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++)for(m=0;m<3;m++) | |
428 | g[i][m] = fm[i][j]*l[j][k]*fm[m][k]; | |
429 | // g = R l R^t | |
430 | return; | |
431 | } | |
432 | //---------------------------------------------------------------------- | |
433 | void AliITSgeomMatrix::GtoLPositionTracking(const Double_t g0[3], | |
434 | Double_t l[3]){ | |
435 | //////////////////////////////////////////////////////////////////////// | |
436 | // A slightly different coordinate system is used when tracking. | |
437 | // This coordinate system is only relevant when the geometry represents | |
438 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
439 | // alone but X -> -Y and Y -> X such that X always points out of the | |
440 | // ITS Cylinder for every layer including layer 1 (where the detector | |
441 | // are mounted upside down). | |
442 | //Begin_Html | |
443 | /* | |
444 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
445 | */ | |
446 | //End_Html | |
447 | //////////////////////////////////////////////////////////////////////// | |
448 | Double_t l0[3]; | |
449 | ||
450 | this->GtoLPosition(g0,l0); | |
451 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
452 | // with respect to the others. | |
453 | l[0] = +l0[1]; | |
454 | l[1] = -l0[0]; | |
455 | l[2] = +l0[2]; | |
456 | }else{ | |
457 | l[0] = -l0[1]; | |
458 | l[1] = +l0[0]; | |
459 | l[2] = +l0[2]; | |
460 | } // end if | |
461 | return; | |
462 | } | |
463 | //---------------------------------------------------------------------- | |
464 | void AliITSgeomMatrix::LtoGPositionTracking(const Double_t l[3], | |
465 | Double_t g[3]){ | |
466 | //////////////////////////////////////////////////////////////////////// | |
467 | // A slightly different coordinate system is used when tracking. | |
468 | // This coordinate system is only relevant when the geometry represents | |
469 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
470 | // alone but X -> -Y and Y -> X such that X always points out of the | |
471 | // ITS Cylinder for every layer including layer 1 (where the detector | |
472 | // are mounted upside down). | |
473 | //Begin_Html | |
474 | /* | |
475 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
476 | */ | |
477 | //End_Html | |
478 | //////////////////////////////////////////////////////////////////////// | |
479 | Double_t l0[3]; | |
480 | ||
481 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
482 | // with respect to the others. | |
483 | l0[0] = -l[1]; | |
484 | l0[1] = +l[0]; | |
485 | l0[2] = +l[2]; | |
486 | }else{ | |
487 | l0[0] = +l[1]; | |
488 | l0[1] = -l[0]; | |
489 | l0[2] = +l[2]; | |
490 | } // end if | |
491 | this->LtoGPosition(l0,g); | |
492 | return; | |
493 | } | |
494 | //---------------------------------------------------------------------- | |
495 | void AliITSgeomMatrix::GtoLMomentumTracking(const Double_t g[3], | |
496 | Double_t l[3]){ | |
497 | //////////////////////////////////////////////////////////////////////// | |
498 | // A slightly different coordinate system is used when tracking. | |
499 | // This coordinate system is only relevant when the geometry represents | |
500 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
501 | // alone but X -> -Y and Y -> X such that X always points out of the | |
502 | // ITS Cylinder for every layer including layer 1 (where the detector | |
503 | // are mounted upside down). | |
504 | //Begin_Html | |
505 | /* | |
506 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
507 | */ | |
508 | //End_Html | |
509 | //////////////////////////////////////////////////////////////////////// | |
510 | Double_t l0[3]; | |
511 | ||
512 | this->GtoLMomentum(g,l0); | |
513 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
514 | // with respect to the others. | |
515 | l[0] = +l0[1]; | |
516 | l[1] = -l0[0]; | |
517 | l[2] = +l0[2]; | |
518 | }else{ | |
519 | l[0] = -l0[1]; | |
520 | l[1] = +l0[0]; | |
521 | l[2] = +l0[2]; | |
522 | } // end if | |
523 | return; | |
524 | return; | |
525 | } | |
526 | //---------------------------------------------------------------------- | |
527 | void AliITSgeomMatrix::LtoGMomentumTracking(const Double_t l[3], | |
528 | Double_t g[3]){ | |
529 | //////////////////////////////////////////////////////////////////////// | |
530 | // A slightly different coordinate system is used when tracking. | |
531 | // This coordinate system is only relevant when the geometry represents | |
532 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
533 | // alone but X -> -Y and Y -> X such that X always points out of the | |
534 | // ITS Cylinder for every layer including layer 1 (where the detector | |
535 | // are mounted upside down). | |
536 | //Begin_Html | |
537 | /* | |
538 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
539 | */ | |
540 | //End_Html | |
541 | //////////////////////////////////////////////////////////////////////// | |
542 | Double_t l0[3]; | |
543 | ||
544 | if(fid[0]==1){ // for layer 1 the detector are flipped upside down | |
545 | // with respect to the others. | |
546 | l0[0] = -l[1]; | |
547 | l0[1] = +l[0]; | |
548 | l0[2] = +l[2]; | |
549 | }else{ | |
550 | l0[0] = +l[1]; | |
551 | l0[1] = -l[0]; | |
552 | l0[2] = +l[2]; | |
553 | } // end if | |
554 | this->LtoGMomentum(l0,g); | |
555 | return; | |
556 | } | |
557 | //---------------------------------------------------------------------- | |
d962cab4 | 558 | void AliITSgeomMatrix::GtoLPositionErrorTracking(Double_t g[3][3], |
df5240ea | 559 | Double_t l[3][3]){ |
560 | //////////////////////////////////////////////////////////////////////// | |
561 | // A slightly different coordinate system is used when tracking. | |
562 | // This coordinate system is only relevant when the geometry represents | |
563 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
564 | // alone but X -> -Y and Y -> X such that X always points out of the | |
565 | // ITS Cylinder for every layer including layer 1 (where the detector | |
566 | // are mounted upside down). | |
567 | //Begin_Html | |
568 | /* | |
569 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
570 | */ | |
571 | //End_Html | |
572 | //////////////////////////////////////////////////////////////////////// | |
573 | Int_t i,j,k,m; | |
574 | Double_t Rt[3][3]; | |
575 | Double_t A0[3][3] = {{0.,+1.,0.},{-1.,0.,0.},{0.,0.,+1.}}; | |
576 | Double_t A1[3][3] = {{0.,-1.,0.},{+1.,0.,0.},{0.,0.,+1.}}; | |
577 | ||
578 | if(fid[0]==1) for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) | |
579 | Rt[i][k] = A0[i][j]*fm[j][k]; | |
580 | else for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) | |
581 | Rt[i][k] = A1[i][j]*fm[j][k]; | |
582 | for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++)for(m=0;m<3;m++) | |
583 | l[i][m] = Rt[j][i]*g[j][k]*Rt[k][m]; | |
584 | // g = R^t l R | |
585 | return; | |
586 | } | |
587 | //---------------------------------------------------------------------- | |
d962cab4 | 588 | void AliITSgeomMatrix::LtoGPositionErrorTracking(Double_t l[3][3], |
df5240ea | 589 | Double_t g[3][3]){ |
590 | //////////////////////////////////////////////////////////////////////// | |
591 | // A slightly different coordinate system is used when tracking. | |
592 | // This coordinate system is only relevant when the geometry represents | |
593 | // the cylindrical ALICE ITS geometry. For tracking the Z axis is left | |
594 | // alone but X -> -Y and Y -> X such that X always points out of the | |
595 | // ITS Cylinder for every layer including layer 1 (where the detector | |
596 | // are mounted upside down). | |
597 | //Begin_Html | |
598 | /* | |
599 | <img src="picts/ITS/AliITSgeomMatrix_T1.gif"> | |
600 | */ | |
601 | //End_Html | |
602 | //////////////////////////////////////////////////////////////////////// | |
603 | Int_t i,j,k,m; | |
604 | Double_t Rt[3][3]; | |
605 | Double_t A0[3][3] = {{0.,+1.,0.},{-1.,0.,0.},{0.,0.,+1.}}; | |
606 | Double_t A1[3][3] = {{0.,-1.,0.},{+1.,0.,0.},{0.,0.,+1.}}; | |
607 | ||
608 | if(fid[0]==1) for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) | |
609 | Rt[i][k] = A0[i][j]*fm[j][k]; | |
610 | else for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++) | |
611 | Rt[i][k] = A1[i][j]*fm[j][k]; | |
612 | for(i=0;i<3;i++)for(j=0;j<3;j++)for(k=0;k<3;k++)for(m=0;m<3;m++) | |
613 | g[i][m] = Rt[i][j]*l[j][k]*Rt[m][k]; | |
614 | // g = R l R^t | |
615 | return; | |
616 | } | |
617 | //---------------------------------------------------------------------- | |
618 | void AliITSgeomMatrix::PrintTitles(ostream *os){ | |
619 | //////////////////////////////////////////////////////////////////////// | |
620 | // Standard output format for this class but it includes variable | |
621 | // names and formatting that makes it easer to read. | |
622 | //////////////////////////////////////////////////////////////////////// | |
623 | Int_t i,j; | |
624 | ||
625 | *os << "fDetectorIndex=" << fDetectorIndex << " fid[3]={"; | |
626 | for(i=0;i<3;i++) *os << fid[i] << " "; | |
627 | *os << "} frot[3]={"; | |
628 | for(i=0;i<3;i++) *os << frot[i] << " "; | |
629 | *os << "} ftran[3]={"; | |
630 | for(i=0;i<3;i++) *os << ftran[i] << " "; | |
631 | *os << "} fm[3][3]={"; | |
632 | for(i=0;i<3;i++){for(j=0;j<3;j++){ *os << fm[i][j] << " ";} *os <<"}{";} | |
633 | *os << "}" << endl; | |
634 | return; | |
635 | } | |
636 | //---------------------------------------------------------------------- | |
8253cd9a | 637 | void AliITSgeomMatrix::PrintComment(ostream *os){ |
638 | //////////////////////////////////////////////////////////////////////// | |
639 | // output format used by Print.. | |
640 | //////////////////////////////////////////////////////////////////////// | |
641 | *os << "fDetectorIndex fid[0] fid[1] fid[2] ftran[0] ftran[1] ftran[2] "; | |
642 | *os << "fm[0][0] fm[0][1] fm[0][2] fm[1][0] fm[1][1] fm[1][2] "; | |
643 | *os << "fm[2][0] fm[2][1] fm[2][2] "; | |
644 | return; | |
645 | } | |
646 | //---------------------------------------------------------------------- | |
647 | void AliITSgeomMatrix::Print(ostream *os){ | |
df5240ea | 648 | //////////////////////////////////////////////////////////////////////// |
649 | // Standard output format for this class. | |
650 | //////////////////////////////////////////////////////////////////////// | |
651 | Int_t i,j; | |
31b8cd63 | 652 | Int_t fmt; |
df5240ea | 653 | |
8253cd9a | 654 | fmt = os->setf(ios::scientific); // set scientific floating point output |
df5240ea | 655 | *os << fDetectorIndex << " "; |
656 | for(i=0;i<3;i++) *os << fid[i] << " "; | |
8253cd9a | 657 | // for(i=0;i<3;i++) *os << frot[i] << " "; // Redundant with fm[][]. |
658 | for(i=0;i<3;i++) *os << setprecision(16) << ftran[i] << " "; | |
659 | for(i=0;i<3;i++)for(j=0;j<3;j++) *os << setprecision(16) << | |
660 | fm[i][j] << " "; | |
df5240ea | 661 | *os << endl; |
8253cd9a | 662 | os->flags(fmt); // reset back to old formating. |
df5240ea | 663 | return; |
664 | } | |
665 | //---------------------------------------------------------------------- | |
8253cd9a | 666 | void AliITSgeomMatrix::Read(istream *is){ |
df5240ea | 667 | //////////////////////////////////////////////////////////////////////// |
668 | // Standard input format for this class. | |
669 | //////////////////////////////////////////////////////////////////////// | |
670 | Int_t i,j; | |
671 | ||
672 | *is >> fDetectorIndex; | |
673 | for(i=0;i<3;i++) *is >> fid[i]; | |
8253cd9a | 674 | // for(i=0;i<3;i++) *is >> frot[i]; // Redundant with fm[][]. |
df5240ea | 675 | for(i=0;i<3;i++) *is >> ftran[i]; |
676 | for(i=0;i<3;i++)for(j=0;j<3;j++) *is >> fm[i][j]; | |
8253cd9a | 677 | AngleFromMatrix(); // compute angles frot[]. |
d8cc8493 | 678 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); |
679 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
680 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
df5240ea | 681 | return; |
682 | } | |
d8cc8493 | 683 | //______________________________________________________________________ |
684 | void AliITSgeomMatrix::Streamer(TBuffer &R__b){ | |
685 | // Stream an object of class AliITSgeomMatrix. | |
686 | ||
687 | if (R__b.IsReading()) { | |
688 | AliITSgeomMatrix::Class()->ReadBuffer(R__b, this); | |
689 | fCylR = TMath::Sqrt(ftran[0]*ftran[0]+ftran[1]*ftran[1]); | |
690 | fCylPhi = TMath::ATan2(ftran[1],ftran[0]); | |
691 | this->AngleFromMatrix(); | |
692 | if(fCylPhi<0.0) fCylPhi += TMath::Pi(); | |
693 | } else { | |
694 | AliITSgeomMatrix::Class()->WriteBuffer(R__b, this); | |
695 | } | |
696 | } | |
df5240ea | 697 | //---------------------------------------------------------------------- |
698 | ostream &operator<<(ostream &os,AliITSgeomMatrix &p){ | |
699 | //////////////////////////////////////////////////////////////////////// | |
700 | // Standard output streaming function. | |
701 | //////////////////////////////////////////////////////////////////////// | |
702 | ||
8253cd9a | 703 | p.Print(&os); |
df5240ea | 704 | return os; |
705 | } | |
706 | //---------------------------------------------------------------------- | |
707 | istream &operator>>(istream &is,AliITSgeomMatrix &r){ | |
708 | //////////////////////////////////////////////////////////////////////// | |
709 | // Standard input streaming function. | |
710 | //////////////////////////////////////////////////////////////////////// | |
711 | ||
8253cd9a | 712 | r.Read(&is); |
df5240ea | 713 | return is; |
714 | } | |
8253cd9a | 715 | //---------------------------------------------------------------------- |