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94685752 | 1 | /* |
2 | ||
3 | Class AliTPCtransformation: | |
4 | Should represent general non linear transformation. Currently tune for TPConly. | |
5 | To be used: | |
6 | 1. Simulation-Digitization | |
7 | 2. Reconstruction - AliTPCTransform | |
8 | 3. Calibration/Alignment (KalmanFilter, Milipedde) | |
9 | 4. Set of transformation to be stored/retrieved as OCDB entry | |
10 | ||
11 | Base functionality: | |
12 | ||
13 | 1. Double_t GetDeltaXYZ(Int_t coord, Int_t volID, Double_t param, Double_t x, Double_t y, Double_t z) | |
14 | Get correction - return the delta of coordinate coord dx or dy or dz for given volID for point at point (x,y,z) | |
15 | All coordinates are global | |
16 | ||
17 | 2. The transformation should work only for given volIDs and detector IDs | |
18 | Currently Bitmask is used for filtering | |
19 | ||
20 | ||
3649eec1 | 21 | Transformation - naming convention: |
22 | // | |
23 | XXX(local)YYYZZZ | |
24 | TPClocaldLxdGX | |
25 | XXX - detector if detector specific | |
26 | local - if local transforamtion | |
27 | YYY - type of transformation | |
28 | ZZZ - return type of transformation | |
94685752 | 29 | |
30 | */ | |
31 | ||
32 | #include <string.h> | |
33 | #include "TRandom.h" | |
34 | #include "TMath.h" | |
35 | #include "TBits.h" | |
36 | #include "TFormula.h" | |
37 | #include "TF1.h" | |
38 | #include "TLinearFitter.h" | |
39 | #include "TFile.h" | |
40 | #include "TObjString.h" | |
41 | ||
42 | #include "TTreeStream.h" | |
43 | #include "AliTrackPointArray.h" | |
44 | #include "AliLog.h" | |
45 | #include "AliTPCTransformation.h" | |
46 | ||
47 | ClassImp(AliTPCTransformation) | |
48 | ||
49 | ||
50 | AliTPCTransformation::GenFuncG AliTPCTransformation::fgFormulas[10000]; | |
51 | TObjArray* AliTPCTransformation::fgFormulasName = new TObjArray(10000); | |
52 | ||
53 | ||
54 | void AliTPCTransformation::RegisterFormula(const char * name, GenFuncG formula){ | |
55 | // | |
56 | // Add Formula to the list of formulas | |
57 | // | |
58 | Int_t last= fgFormulasName->GetEntries(); | |
59 | fgFormulasName->AddLast(new TObjString(name)); | |
60 | fgFormulas[last]=formula; | |
61 | } | |
62 | ||
63 | Int_t AliTPCTransformation::BuildBasicFormulas(){ | |
64 | // | |
6d438146 | 65 | |
66 | // | |
67 | //build list of basic TPC formulas - corrections | |
94685752 | 68 | // |
69 | RegisterFormula("TPCscalingRPol",(GenFuncG)(AliTPCTransformation::TPCscalingRPol)); | |
6d438146 | 70 | RegisterFormula("TPCscalingRIFC",(GenFuncG)(AliTPCTransformation::TPCscalingRIFC)); |
71 | RegisterFormula("TPCscalingROFC",(GenFuncG)(AliTPCTransformation::TPCscalingROFC)); | |
72 | // | |
94685752 | 73 | RegisterFormula("TPCscalingZDr",(GenFuncG)(AliTPCTransformation::TPCscalingZDr)); |
74 | RegisterFormula("TPCscalingPhiLocal",(GenFuncG)(AliTPCTransformation::TPCscalingPhiLocal)); | |
0e9efcbe | 75 | // |
3649eec1 | 76 | // TPC Local X and Y misalignment + rotation |
0e9efcbe | 77 | // |
78 | RegisterFormula("TPClocaldLxdGX",(GenFuncG)(AliTPCTransformation::TPClocaldLxdGX)); | |
79 | RegisterFormula("TPClocaldLxdGY",(GenFuncG)(AliTPCTransformation::TPClocaldLxdGY)); | |
80 | RegisterFormula("TPClocaldLydGX",(GenFuncG)(AliTPCTransformation::TPClocaldLydGX)); | |
81 | RegisterFormula("TPClocaldLydGY",(GenFuncG)(AliTPCTransformation::TPClocaldLydGY)); | |
3649eec1 | 82 | RegisterFormula("TPClocaldRzdGX",(GenFuncG)(AliTPCTransformation::TPClocaldRzdGX)); |
83 | RegisterFormula("TPClocaldRzdGY",(GenFuncG)(AliTPCTransformation::TPClocaldRzdGY)); | |
84 | ||
0e9efcbe | 85 | // |
86 | // Z offset | |
87 | // | |
88 | RegisterFormula("TPCDeltaZ",(GenFuncG)(AliTPCTransformation::TPCDeltaZ)); | |
89 | RegisterFormula("TPCDeltaZMediumLong",(GenFuncG)(AliTPCTransformation::TPCDeltaZMediumLong)); | |
90 | RegisterFormula("TPCTiltingZ",(GenFuncG)(AliTPCTransformation::TPCTiltingZ)); | |
94685752 | 91 | return 0; |
92 | } | |
93 | ||
94 | AliTPCTransformation::GenFuncG AliTPCTransformation::FindFormula(const char * name){ | |
95 | // | |
96 | // find formula - if registered | |
97 | // | |
98 | if (fgFormulasName->FindObject(name)==0) return 0; | |
99 | Int_t entries = fgFormulasName->GetEntries(); | |
100 | for (Int_t i=0;i<entries;i++){ | |
101 | if (strcmp(fgFormulasName->At(i)->GetName(), name)==0){ | |
102 | return fgFormulas[i]; | |
103 | } | |
104 | } | |
105 | return 0; | |
106 | } | |
107 | ||
108 | Double_t AliTPCTransformation::Eval(const char * name, const Double_t*x,const Double_t*par){ | |
109 | // | |
110 | // Only for test purposes - very slow | |
111 | // | |
112 | GenFuncG fun = FindFormula(name); | |
113 | if (!fun) return 0; | |
114 | return fun(x,par); | |
115 | } | |
116 | ||
117 | ||
118 | AliTPCTransformation::AliTPCTransformation(): | |
119 | TNamed(), | |
120 | fNameX(0), // x formula name | |
121 | fNameY(0), // y formula name | |
122 | fNameZ(0), // z formula name | |
123 | // | |
124 | fBitMask(0), // bitmaps - transformation only for specified volID | |
125 | fCoordSystem(0), // coord system of output deltas | |
126 | fParam(0), // free parameter of transformation | |
127 | fSigma(0), // uncertainty of the parameter | |
6d438146 | 128 | fSigma2Time(0), // change of the error in time - (For kalman filter) |
94685752 | 129 | fFixedParam(0), // fixed parameters of tranformation |
0e9efcbe | 130 | fIsActive(kTRUE), // swith - On/Off |
94685752 | 131 | // |
132 | fInit(kFALSE), // initialization flag - set to kTRUE if corresponding formulas found | |
133 | fFormulaX(0), // x formula - pointer to the function | |
134 | fFormulaY(0), // y formula - pointer to the function | |
135 | fFormulaZ(0) // z formula - pointer to the function | |
136 | // | |
137 | { | |
138 | // | |
139 | // default constructor | |
140 | // | |
141 | } | |
142 | ||
143 | ||
144 | ||
6d438146 | 145 | AliTPCTransformation::AliTPCTransformation(const char *name, TBits *mask, const char *fx, const char *fy, const char *fz, Int_t coordSystem): |
94685752 | 146 | TNamed(name,name), |
147 | fNameX(0), // x formula name | |
148 | fNameY(0), // y formula name | |
149 | fNameZ(0), // z formula name | |
150 | fBitMask(mask), // bitmaps - transformation only for specified volID | |
151 | fCoordSystem(coordSystem), // coordinate system of output deltas | |
6d438146 | 152 | fParam(0), // free parameter of transformation |
153 | fSigma(0), | |
154 | fSigma2Time(0), // change of sigma in time | |
94685752 | 155 | fFixedParam(0), // fixed parameters of tranformation |
0e9efcbe | 156 | fIsActive(kTRUE), // swith - On/Off |
94685752 | 157 | // |
158 | fInit(kFALSE), // initialization flag - set to kTRUE if corresponding formulas found | |
159 | fFormulaX(0), // x formula - pointer to the function | |
160 | fFormulaY(0), // y formula - pointer to the function | |
161 | fFormulaZ(0) // z formula - pointer to the function | |
162 | { | |
163 | // | |
164 | // non default constructor | |
165 | // | |
166 | if (fx) fNameX= new TString(fx); | |
167 | if (fy) fNameY= new TString(fy); | |
168 | if (fz) fNameZ= new TString(fz); | |
94685752 | 169 | Init(); |
170 | } | |
171 | ||
6d438146 | 172 | AliTPCTransformation::AliTPCTransformation(const AliTPCTransformation&trafo): |
173 | TNamed(trafo), | |
174 | fNameX(0), // x formula name | |
175 | fNameY(0), // y formula name | |
176 | fNameZ(0), // z formula name | |
177 | // | |
178 | fBitMask(0), // bitmaps - transformation only for specified volID | |
179 | fCoordSystem(0), // coord system of output deltas | |
180 | fParam(trafo.fParam), // free parameter of transformation | |
181 | fSigma(trafo.fSigma), // uncertainty of the parameter | |
182 | fSigma2Time(trafo.fSigma2Time), // change of the error in time - (For kalman filter) | |
e55e5512 | 183 | fFixedParam(0), // fixed parameters of tranformation |
184 | fIsActive(trafo.fIsActive), // swith - On/Off | |
6d438146 | 185 | // |
186 | fInit(kFALSE), // initialization flag - set to kTRUE if corresponding formulas found | |
187 | fFormulaX(0), // x formula - pointer to the function | |
188 | fFormulaY(0), // y formula - pointer to the function | |
189 | fFormulaZ(0) // z formula - pointer to the function | |
190 | { | |
191 | if (trafo.fNameX) fNameX = new TString(*(trafo.fNameX)); | |
192 | if (trafo.fNameY) fNameY = new TString(*(trafo.fNameY)); | |
193 | if (trafo.fNameZ) fNameZ = new TString(*(trafo.fNameZ)); | |
194 | if (trafo.fBitMask) fBitMask = new TBits(*(trafo.fBitMask)); | |
195 | } | |
196 | ||
197 | AliTPCTransformation::~AliTPCTransformation(){ | |
198 | // | |
199 | // destructor | |
200 | // | |
201 | delete fNameX; | |
202 | delete fNameY; | |
203 | delete fNameZ; | |
204 | delete fBitMask; | |
205 | delete fFixedParam; | |
206 | } | |
207 | void AliTPCTransformation::SetParams(Double_t param, Double_t sigma, Double_t sigma2Time, TVectorD* fixedParams){ | |
208 | // | |
209 | // Set parameters of transformation | |
210 | // | |
211 | fParam = param; | |
212 | fSigma = sigma; | |
213 | fSigma2Time = sigma2Time; | |
214 | if (fFixedParam) delete fFixedParam; | |
215 | fFixedParam = new TVectorD(*fixedParams); | |
216 | Init(); | |
217 | } | |
94685752 | 218 | |
219 | ||
220 | Bool_t AliTPCTransformation::Init(){ | |
221 | // | |
222 | // associate formulas with pointer to the function | |
223 | // | |
224 | Bool_t isOK=kTRUE; | |
225 | if (fNameX) { | |
226 | fFormulaX=FindFormula(fNameX->Data()); | |
227 | if (fFormulaX==0) isOK=kFALSE; | |
228 | } | |
229 | if (fNameY) { | |
230 | fFormulaY=FindFormula(fNameY->Data()); | |
231 | if (fFormulaY==0) isOK=kFALSE; | |
232 | } | |
233 | if (fNameZ) { | |
234 | fFormulaZ=FindFormula(fNameZ->Data()); | |
235 | if (!fFormulaZ) isOK=kFALSE; | |
236 | } | |
237 | return isOK; | |
238 | } | |
239 | ||
0e9efcbe | 240 | |
241 | ||
94685752 | 242 | TBits * AliTPCTransformation::BitsSide(Bool_t aside){ |
243 | // | |
244 | TBits * bits = new TBits(72); | |
245 | for (Int_t i=0; i<72;i++){ | |
246 | if (i%36<18 && aside) (*bits)[i]=kTRUE; | |
247 | if (i%36<18 && (!aside)) (*bits)[i]=kFALSE; | |
248 | if (i%36>=18 && aside) (*bits)[i]=kFALSE; | |
249 | if (i%36>=18 && (!aside)) (*bits)[i]=kTRUE; | |
250 | } | |
251 | return bits; | |
252 | } | |
253 | ||
254 | TBits * AliTPCTransformation::BitsAll(){ | |
255 | // | |
256 | // | |
257 | // | |
258 | TBits * bits = new TBits(72); | |
259 | for (Int_t i=0; i<72;i++){ | |
260 | (*bits)[i]=kTRUE; | |
261 | } | |
262 | return bits; | |
263 | } | |
264 | ||
265 | Double_t AliTPCTransformation::GetDeltaXYZ(Int_t coord, Int_t volID, Double_t param, Double_t x, Double_t y, Double_t z){ | |
266 | // | |
267 | // | |
3649eec1 | 268 | // coord - type of coordinate |
269 | // - 0 -X | |
270 | // 1 -Y | |
271 | // 2 -Z | |
272 | // 3 -R | |
273 | // 4 -RPhi | |
0e9efcbe | 274 | if (!fIsActive) return 0; |
94685752 | 275 | if (fBitMask && (!(*fBitMask)[volID])) return 0; |
0e9efcbe | 276 | Double_t xyz[5]={x,y,z, param,volID}; |
94685752 | 277 | if (fCoordSystem==0){ |
278 | // cartezian system | |
279 | if (coord==0 && fFormulaX) return fFormulaX(xyz,fFixedParam->GetMatrixArray()); | |
280 | if (coord==1 && fFormulaY) return fFormulaY(xyz,fFixedParam->GetMatrixArray()); | |
0e9efcbe | 281 | if (coord==2 && fFormulaZ) return fFormulaZ(xyz,fFixedParam->GetMatrixArray()); |
94685752 | 282 | } |
283 | if (fCoordSystem==1){ | |
284 | // cylindrical system | |
285 | if (coord==2) { | |
286 | if (fFormulaZ==0) return 0; | |
287 | return fFormulaZ(xyz,fFixedParam->GetMatrixArray()); | |
288 | } | |
289 | Double_t rrphiz[3]={0,0,0}; | |
290 | if (fFormulaX) rrphiz[0] = fFormulaX(xyz,fFixedParam->GetMatrixArray()); | |
291 | if (fFormulaY) rrphiz[1] = fFormulaY(xyz,fFixedParam->GetMatrixArray()); | |
292 | Double_t alpha = TMath::ATan2(y,x); | |
293 | Double_t ca = TMath::Cos(alpha); | |
294 | Double_t sa = TMath::Sin(alpha); | |
295 | if (coord==0) return ca*rrphiz[0]-sa*rrphiz[1]; | |
296 | if (coord==1) return sa*rrphiz[0]+ca*rrphiz[1]; | |
297 | } | |
298 | return 0; | |
299 | } | |
300 | ||
301 | Double_t AliTPCTransformation::TPCscalingRPol(Double_t *xyz, Double_t * param){ | |
302 | // | |
303 | // Scaling and shift of TPC radius | |
304 | // xyz[0..2] - global xyz of point | |
305 | // xyz[3] - scale parameter | |
6d438146 | 306 | // param[0] - radial scaling power |
307 | // param[1] - drift scaling power | |
308 | // radius from -1(at rInner) to 1 (rOuter) | |
309 | // driftM from -1(at 0 drift) to 1 (250 cm drift) | |
310 | ||
311 | Double_t rInner=78.8; | |
312 | Double_t rOuter=258.0; | |
313 | Double_t deltaR = rOuter-rInner; | |
314 | Double_t radius = (TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1])-rInner)*2./deltaR; | |
315 | Double_t driftM = (0.5 - TMath::Abs(xyz[2]/250.))*2.0; | |
316 | Double_t delta = TMath::Power(radius,param[0])*TMath::Power(driftM,param[1]); | |
317 | return delta*xyz[3]; | |
94685752 | 318 | } |
319 | ||
320 | ||
321 | Double_t AliTPCTransformation::TPCscalingZDr(Double_t *xyz, Double_t * param){ | |
322 | // | |
323 | // | |
324 | // Scaling and shift of TPC radius | |
325 | // xyz[0..2] - global xyz of point | |
326 | // xyz[3] - scale parameter | |
327 | Double_t driftP = TMath::Power(1. - TMath::Abs(xyz[2]/250.), param[0]); | |
328 | Double_t deltaZ = (xyz[2]>0) ? -driftP : driftP; | |
329 | return deltaZ*xyz[3]; | |
330 | } | |
331 | ||
332 | Double_t AliTPCTransformation::TPCscalingPhiLocal(Double_t *xyz, Double_t * param){ | |
333 | // | |
334 | // | |
335 | // Scaling if the local y -phi | |
336 | // xyz[0..2] - global xyz of point | |
337 | // xyz[3] - scale parameter | |
6d438146 | 338 | // value = 1 for ful drift length and parameter 1 |
94685752 | 339 | Double_t alpha = TMath::ATan2(xyz[1],xyz[0]); |
340 | Double_t sector = TMath::Nint(9*alpha/TMath::Pi()-0.5); | |
341 | Double_t localAlpha = (alpha-(sector+0.5)*TMath::Pi()/9.); | |
342 | Double_t radius = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1])/250.; | |
6d438146 | 343 | // |
344 | Double_t deltaAlpha = radius*TMath::Power(2.*9.*localAlpha/TMath::Pi(),param[0]); | |
94685752 | 345 | return deltaAlpha*xyz[3]; |
346 | } | |
347 | ||
348 | ||
6d438146 | 349 | Double_t AliTPCTransformation::TPCscalingRIFC(Double_t *xyz, Double_t * param){ |
350 | // | |
351 | // inner field cage r distorion - proportinal to 1 over distance to the IFC | |
352 | // param[0] - drift polynom order | |
353 | // distortion at first pad row - is normalized to | |
354 | Double_t rInner=78.8; | |
355 | Double_t rFirst=85.2; | |
356 | Double_t deltaR = rFirst-rInner; | |
357 | Double_t ndistR = (TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1])-rInner)/deltaR; | |
358 | Double_t driftM = (0.5 - TMath::Abs(xyz[2]/250.))*2.; | |
359 | Double_t value = TMath::Power(driftM,param[0])/ndistR; | |
360 | return xyz[3]*value; | |
361 | } | |
362 | ||
363 | Double_t AliTPCTransformation::TPCscalingROFC(Double_t *xyz, Double_t * param){ | |
364 | // | |
365 | // outer field cage r distorion - proportinal to 1 over distance to the OFC | |
366 | // param[0] - drift polynom order | |
367 | // driftM - from -1 to 1 | |
368 | // | |
369 | Double_t rLast=245.8; | |
370 | Double_t rOuter=258.0; | |
371 | Double_t deltaR = rOuter-rLast; | |
372 | Double_t ndistR = (rOuter-TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]))/deltaR; | |
373 | Double_t driftM = (0.5 - TMath::Abs(xyz[2]/250.))*2.; | |
374 | Double_t value = TMath::Power(driftM,param[0])/ndistR; | |
375 | return xyz[3]*value; | |
376 | } | |
0e9efcbe | 377 | |
378 | ||
379 | // | |
380 | // TPC sector local misalignment | |
381 | // | |
3649eec1 | 382 | // |
383 | // | |
384 | Double_t AliTPCTransformation:: TPClocaldLxdGX(Double_t *xyz, Double_t * param){ | |
0e9efcbe | 385 | // |
386 | // xyz - [0..2] - position | |
387 | // [3] - scale parameter | |
388 | // [4] - volID | |
3649eec1 | 389 | // param[0]= n - cos(n *alpha) |
390 | // param[1]= n - sin(n *alpha) | |
391 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 392 | // return delta in global coordiante system |
393 | // | |
394 | Int_t sector = TMath::Nint(xyz[4]); | |
395 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
396 | Double_t ca = TMath::Cos(alpha); | |
3649eec1 | 397 | // Double_t sa = TMath::Sin(alpha); |
398 | const Double_t xIROCOROC = 133.4; | |
399 | Double_t factor = xyz[3]; | |
400 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
401 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
402 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
403 | return ca*factor; | |
0e9efcbe | 404 | } |
405 | ||
3649eec1 | 406 | Double_t AliTPCTransformation::TPClocaldLxdGY(Double_t *xyz, Double_t * param){ |
0e9efcbe | 407 | // |
408 | // xyz - [0..2] - position | |
409 | // [3] - scale parameter | |
410 | // [4] - volID | |
3649eec1 | 411 | // param[0]= n - cos(n *alpha) |
412 | // param[1]= n - sin(n *alpha) | |
413 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 414 | // return delta in global coordiante system |
415 | // | |
416 | Int_t sector = TMath::Nint(xyz[4]); | |
417 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
418 | //Double_t ca = TMath::Cos(alpha); | |
419 | Double_t sa = TMath::Sin(alpha); | |
3649eec1 | 420 | const Double_t xIROCOROC = 133.4; |
421 | Double_t factor = xyz[3]; | |
422 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
423 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
424 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
425 | return sa*factor; | |
0e9efcbe | 426 | } |
427 | ||
3649eec1 | 428 | Double_t AliTPCTransformation:: TPClocaldLydGX(Double_t *xyz, Double_t * param){ |
0e9efcbe | 429 | // |
430 | // xyz - [0..2] - position | |
431 | // [3] - scale parameter | |
432 | // [4] - volID | |
3649eec1 | 433 | // param[0]= n - cos(n *alpha) |
434 | // param[1]= n - sin(n *alpha) | |
435 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 436 | // return delta in global coordiante system |
437 | // | |
438 | Int_t sector = TMath::Nint(xyz[4]); | |
439 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
440 | //Double_t ca = TMath::Cos(alpha); | |
441 | Double_t sa = TMath::Sin(alpha); | |
3649eec1 | 442 | const Double_t xIROCOROC = 133.4; |
443 | Double_t factor = xyz[3]; | |
444 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
445 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
446 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
447 | return -sa*factor; | |
0e9efcbe | 448 | } |
449 | ||
3649eec1 | 450 | Double_t AliTPCTransformation::TPClocaldLydGY(Double_t *xyz, Double_t * param){ |
0e9efcbe | 451 | // |
452 | // xyz - [0..2] - position | |
453 | // [3] - scale parameter | |
454 | // [4] - volID | |
3649eec1 | 455 | // param[0]= n - cos(n *alpha) |
456 | // param[1]= n - sin(n *alpha) | |
457 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 458 | // return delta in global coordiante system |
459 | // | |
460 | Int_t sector = TMath::Nint(xyz[4]); | |
461 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
462 | Double_t ca = TMath::Cos(alpha); | |
463 | //Double_t sa = TMath::Sin(alpha); | |
3649eec1 | 464 | const Double_t xIROCOROC = 133.4; |
465 | Double_t factor = xyz[3]; | |
466 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
467 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
468 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
469 | return ca*factor; | |
470 | } | |
471 | ||
472 | ||
473 | Double_t AliTPCTransformation::TPClocaldRzdGX(Double_t *xyz, Double_t * param){ | |
474 | // | |
475 | // xyz - [0..2] - position | |
476 | // [3] - scale parameter - rotation angle in mrad | |
477 | // [4] - volID | |
478 | // param[0]= n - cos(n *alpha) | |
479 | // param[1]= n - sin(n *alpha) | |
480 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
481 | // return delta in global coordiante system | |
482 | // | |
483 | Int_t sector = TMath::Nint(xyz[4]); | |
484 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
485 | Double_t ca = TMath::Cos(alpha); | |
486 | Double_t sa = TMath::Sin(alpha); | |
487 | Double_t lx = xyz[0]*ca + xyz[1]*sa; | |
488 | Double_t ly = -xyz[0]*sa + xyz[1]*ca; | |
489 | // | |
490 | const Double_t xIROCOROC = 133.4; | |
491 | lx-=xIROCOROC; | |
492 | Double_t rot = xyz[3]*0.001; // rotation in mrad | |
493 | if (param[0]>0) rot*=TMath::Cos(alpha*param[0]); | |
494 | if (param[1]>0) rot*=TMath::Sin(alpha*param[1]); | |
495 | if (param[2]>0.5 && lx>0) rot*=-1; | |
496 | // | |
497 | Double_t dlxR = - ly*rot; | |
498 | Double_t dlyR = lx*rot; | |
499 | Double_t dgxR = dlxR*ca - dlyR*sa; | |
500 | //Double_t dgyR = dlxR*sa + dlyR*ca; | |
501 | return dgxR; | |
502 | } | |
503 | ||
504 | Double_t AliTPCTransformation::TPClocaldRzdGY(Double_t *xyz, Double_t * param){ | |
505 | // | |
506 | // xyz - [0..2] - position | |
507 | // [3] - scale parameter - rotation angle in mrad | |
508 | // [4] - volID | |
509 | // param[0]= n - cos(n *alpha) | |
510 | // param[1]= n - sin(n *alpha) | |
511 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
512 | // return delta in global coordiante system | |
513 | // | |
514 | Int_t sector = TMath::Nint(xyz[4]); | |
515 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
516 | Double_t ca = TMath::Cos(alpha); | |
517 | Double_t sa = TMath::Sin(alpha); | |
518 | Double_t lx = xyz[0]*ca + xyz[1]*sa; | |
519 | Double_t ly = -xyz[0]*sa + xyz[1]*ca; | |
520 | // | |
521 | const Double_t xIROCOROC = 133.4; | |
522 | lx-=xIROCOROC; | |
523 | Double_t rot = xyz[3]*0.001; // rotation in mrad | |
524 | if (param[0]>0) rot*=TMath::Cos(alpha*param[0]); | |
525 | if (param[1]>0) rot*=TMath::Sin(alpha*param[1]); | |
526 | if (param[2]>0.5 && lx>0) rot*=-1; | |
527 | Double_t dlxR = - ly*rot; | |
528 | Double_t dlyR = lx*rot; | |
529 | //Double_t dgxR = dlxR*ca - dlyR*sa; | |
530 | Double_t dgyR = dlxR*sa + dlyR*ca; | |
531 | return dgyR; | |
0e9efcbe | 532 | } |
533 | ||
534 | ||
3649eec1 | 535 | Double_t AliTPCTransformation::TPCDeltaZ(Double_t *xyz, Double_t * param){ |
0e9efcbe | 536 | // |
537 | // xyz - [0..2] - position | |
538 | // [3] - scale parameter | |
539 | // [4] - volID | |
540 | // return delta in global coordiante system | |
541 | // | |
542 | Int_t sector = TMath::Nint(xyz[4]); | |
543 | Double_t signZ = (sector%36<18) ? 1: -1; // drift direction | |
544 | return signZ*xyz[3]; // IROC shift | |
545 | } | |
546 | ||
547 | Double_t AliTPCTransformation::TPCDeltaZMediumLong(Double_t *xyz, Double_t * /*param*/){ | |
548 | // | |
549 | // xyz - [0..2] - position | |
550 | // [3] - scale parameter | |
551 | // [4] - volID | |
552 | // return delta in global coordinate system | |
553 | // | |
554 | Int_t sector = TMath::Nint(xyz[4]); | |
555 | Double_t signZ = (sector%36<18) ? 1: -1; // drift direction | |
556 | if (sector<36) return 0; | |
557 | // | |
558 | Double_t radius = (TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1])); | |
559 | const Double_t radiusLong = 198.1; | |
560 | Double_t sign = (radius<radiusLong) ? 1:-1; | |
561 | return xyz[3]*sign*signZ; | |
562 | } | |
563 | ||
564 | Double_t AliTPCTransformation::TPCTiltingZ(Double_t *xyz, Double_t * param){ | |
565 | // xyz - [0..2] - position | |
566 | // [3] - scale parameter | |
567 | // [4] - volID | |
568 | // param[0] - n for cos | |
569 | // param[1] - n for sin | |
570 | // return delta in global coordinate system | |
571 | Double_t radius = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]); | |
572 | const Double_t rFirst=85.2; | |
573 | const Double_t rLast =245.8; | |
574 | Double_t radiusC = (rFirst+rLast)*0.5; | |
575 | Double_t deltaR = 2.0*(radius-radiusC)/(rLast-rFirst); | |
576 | Double_t alpha = TMath::ATan2(xyz[1],xyz[0]); | |
577 | ||
578 | if (param[0]>0) deltaR *= TMath::Cos(param[0]*alpha); | |
579 | if (param[1]>0) deltaR *= TMath::Sin(param[1]*alpha); | |
580 | return deltaR*xyz[3]; | |
581 | } | |
582 |