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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)); |
ddf81107 | 74 | RegisterFormula("TPCscalingZDrGy",(GenFuncG)(AliTPCTransformation::TPCscalingZDrGy)); |
94685752 | 75 | RegisterFormula("TPCscalingPhiLocal",(GenFuncG)(AliTPCTransformation::TPCscalingPhiLocal)); |
0e9efcbe | 76 | // |
3649eec1 | 77 | // TPC Local X and Y misalignment + rotation |
0e9efcbe | 78 | // |
79 | RegisterFormula("TPClocaldLxdGX",(GenFuncG)(AliTPCTransformation::TPClocaldLxdGX)); | |
80 | RegisterFormula("TPClocaldLxdGY",(GenFuncG)(AliTPCTransformation::TPClocaldLxdGY)); | |
81 | RegisterFormula("TPClocaldLydGX",(GenFuncG)(AliTPCTransformation::TPClocaldLydGX)); | |
82 | RegisterFormula("TPClocaldLydGY",(GenFuncG)(AliTPCTransformation::TPClocaldLydGY)); | |
3649eec1 | 83 | RegisterFormula("TPClocaldRzdGX",(GenFuncG)(AliTPCTransformation::TPClocaldRzdGX)); |
84 | RegisterFormula("TPClocaldRzdGY",(GenFuncG)(AliTPCTransformation::TPClocaldRzdGY)); | |
85 | ||
0e9efcbe | 86 | // |
87 | // Z offset | |
88 | // | |
89 | RegisterFormula("TPCDeltaZ",(GenFuncG)(AliTPCTransformation::TPCDeltaZ)); | |
90 | RegisterFormula("TPCDeltaZMediumLong",(GenFuncG)(AliTPCTransformation::TPCDeltaZMediumLong)); | |
91 | RegisterFormula("TPCTiltingZ",(GenFuncG)(AliTPCTransformation::TPCTiltingZ)); | |
94685752 | 92 | return 0; |
93 | } | |
94 | ||
95 | AliTPCTransformation::GenFuncG AliTPCTransformation::FindFormula(const char * name){ | |
96 | // | |
97 | // find formula - if registered | |
98 | // | |
99 | if (fgFormulasName->FindObject(name)==0) return 0; | |
100 | Int_t entries = fgFormulasName->GetEntries(); | |
101 | for (Int_t i=0;i<entries;i++){ | |
102 | if (strcmp(fgFormulasName->At(i)->GetName(), name)==0){ | |
103 | return fgFormulas[i]; | |
104 | } | |
105 | } | |
106 | return 0; | |
107 | } | |
108 | ||
109 | Double_t AliTPCTransformation::Eval(const char * name, const Double_t*x,const Double_t*par){ | |
110 | // | |
111 | // Only for test purposes - very slow | |
112 | // | |
113 | GenFuncG fun = FindFormula(name); | |
114 | if (!fun) return 0; | |
115 | return fun(x,par); | |
116 | } | |
117 | ||
118 | ||
119 | AliTPCTransformation::AliTPCTransformation(): | |
120 | TNamed(), | |
121 | fNameX(0), // x formula name | |
122 | fNameY(0), // y formula name | |
123 | fNameZ(0), // z formula name | |
124 | // | |
125 | fBitMask(0), // bitmaps - transformation only for specified volID | |
126 | fCoordSystem(0), // coord system of output deltas | |
127 | fParam(0), // free parameter of transformation | |
128 | fSigma(0), // uncertainty of the parameter | |
6d438146 | 129 | fSigma2Time(0), // change of the error in time - (For kalman filter) |
94685752 | 130 | fFixedParam(0), // fixed parameters of tranformation |
0e9efcbe | 131 | fIsActive(kTRUE), // swith - On/Off |
94685752 | 132 | // |
133 | fInit(kFALSE), // initialization flag - set to kTRUE if corresponding formulas found | |
134 | fFormulaX(0), // x formula - pointer to the function | |
135 | fFormulaY(0), // y formula - pointer to the function | |
136 | fFormulaZ(0) // z formula - pointer to the function | |
137 | // | |
138 | { | |
139 | // | |
140 | // default constructor | |
141 | // | |
142 | } | |
143 | ||
144 | ||
145 | ||
6d438146 | 146 | AliTPCTransformation::AliTPCTransformation(const char *name, TBits *mask, const char *fx, const char *fy, const char *fz, Int_t coordSystem): |
94685752 | 147 | TNamed(name,name), |
148 | fNameX(0), // x formula name | |
149 | fNameY(0), // y formula name | |
150 | fNameZ(0), // z formula name | |
151 | fBitMask(mask), // bitmaps - transformation only for specified volID | |
152 | fCoordSystem(coordSystem), // coordinate system of output deltas | |
6d438146 | 153 | fParam(0), // free parameter of transformation |
154 | fSigma(0), | |
155 | fSigma2Time(0), // change of sigma in time | |
94685752 | 156 | fFixedParam(0), // fixed parameters of tranformation |
0e9efcbe | 157 | fIsActive(kTRUE), // swith - On/Off |
94685752 | 158 | // |
159 | fInit(kFALSE), // initialization flag - set to kTRUE if corresponding formulas found | |
160 | fFormulaX(0), // x formula - pointer to the function | |
161 | fFormulaY(0), // y formula - pointer to the function | |
162 | fFormulaZ(0) // z formula - pointer to the function | |
163 | { | |
164 | // | |
165 | // non default constructor | |
166 | // | |
167 | if (fx) fNameX= new TString(fx); | |
168 | if (fy) fNameY= new TString(fy); | |
169 | if (fz) fNameZ= new TString(fz); | |
94685752 | 170 | Init(); |
171 | } | |
172 | ||
6d438146 | 173 | AliTPCTransformation::AliTPCTransformation(const AliTPCTransformation&trafo): |
174 | TNamed(trafo), | |
175 | fNameX(0), // x formula name | |
176 | fNameY(0), // y formula name | |
177 | fNameZ(0), // z formula name | |
178 | // | |
179 | fBitMask(0), // bitmaps - transformation only for specified volID | |
180 | fCoordSystem(0), // coord system of output deltas | |
181 | fParam(trafo.fParam), // free parameter of transformation | |
182 | fSigma(trafo.fSigma), // uncertainty of the parameter | |
183 | fSigma2Time(trafo.fSigma2Time), // change of the error in time - (For kalman filter) | |
e55e5512 | 184 | fFixedParam(0), // fixed parameters of tranformation |
185 | fIsActive(trafo.fIsActive), // swith - On/Off | |
6d438146 | 186 | // |
187 | fInit(kFALSE), // initialization flag - set to kTRUE if corresponding formulas found | |
188 | fFormulaX(0), // x formula - pointer to the function | |
189 | fFormulaY(0), // y formula - pointer to the function | |
190 | fFormulaZ(0) // z formula - pointer to the function | |
191 | { | |
192 | if (trafo.fNameX) fNameX = new TString(*(trafo.fNameX)); | |
193 | if (trafo.fNameY) fNameY = new TString(*(trafo.fNameY)); | |
194 | if (trafo.fNameZ) fNameZ = new TString(*(trafo.fNameZ)); | |
195 | if (trafo.fBitMask) fBitMask = new TBits(*(trafo.fBitMask)); | |
196 | } | |
197 | ||
198 | AliTPCTransformation::~AliTPCTransformation(){ | |
199 | // | |
200 | // destructor | |
201 | // | |
202 | delete fNameX; | |
203 | delete fNameY; | |
204 | delete fNameZ; | |
205 | delete fBitMask; | |
206 | delete fFixedParam; | |
207 | } | |
208 | void AliTPCTransformation::SetParams(Double_t param, Double_t sigma, Double_t sigma2Time, TVectorD* fixedParams){ | |
209 | // | |
210 | // Set parameters of transformation | |
211 | // | |
212 | fParam = param; | |
213 | fSigma = sigma; | |
214 | fSigma2Time = sigma2Time; | |
215 | if (fFixedParam) delete fFixedParam; | |
216 | fFixedParam = new TVectorD(*fixedParams); | |
217 | Init(); | |
218 | } | |
94685752 | 219 | |
220 | ||
221 | Bool_t AliTPCTransformation::Init(){ | |
222 | // | |
223 | // associate formulas with pointer to the function | |
224 | // | |
225 | Bool_t isOK=kTRUE; | |
226 | if (fNameX) { | |
227 | fFormulaX=FindFormula(fNameX->Data()); | |
228 | if (fFormulaX==0) isOK=kFALSE; | |
229 | } | |
230 | if (fNameY) { | |
231 | fFormulaY=FindFormula(fNameY->Data()); | |
232 | if (fFormulaY==0) isOK=kFALSE; | |
233 | } | |
234 | if (fNameZ) { | |
235 | fFormulaZ=FindFormula(fNameZ->Data()); | |
236 | if (!fFormulaZ) isOK=kFALSE; | |
237 | } | |
238 | return isOK; | |
239 | } | |
240 | ||
0e9efcbe | 241 | |
242 | ||
94685752 | 243 | TBits * AliTPCTransformation::BitsSide(Bool_t aside){ |
244 | // | |
245 | TBits * bits = new TBits(72); | |
246 | for (Int_t i=0; i<72;i++){ | |
247 | if (i%36<18 && aside) (*bits)[i]=kTRUE; | |
248 | if (i%36<18 && (!aside)) (*bits)[i]=kFALSE; | |
249 | if (i%36>=18 && aside) (*bits)[i]=kFALSE; | |
250 | if (i%36>=18 && (!aside)) (*bits)[i]=kTRUE; | |
251 | } | |
252 | return bits; | |
253 | } | |
254 | ||
255 | TBits * AliTPCTransformation::BitsAll(){ | |
256 | // | |
257 | // | |
258 | // | |
259 | TBits * bits = new TBits(72); | |
260 | for (Int_t i=0; i<72;i++){ | |
261 | (*bits)[i]=kTRUE; | |
262 | } | |
263 | return bits; | |
264 | } | |
265 | ||
266 | Double_t AliTPCTransformation::GetDeltaXYZ(Int_t coord, Int_t volID, Double_t param, Double_t x, Double_t y, Double_t z){ | |
267 | // | |
268 | // | |
3649eec1 | 269 | // coord - type of coordinate |
270 | // - 0 -X | |
271 | // 1 -Y | |
272 | // 2 -Z | |
273 | // 3 -R | |
274 | // 4 -RPhi | |
0e9efcbe | 275 | if (!fIsActive) return 0; |
94685752 | 276 | if (fBitMask && (!(*fBitMask)[volID])) return 0; |
0e9efcbe | 277 | Double_t xyz[5]={x,y,z, param,volID}; |
94685752 | 278 | if (fCoordSystem==0){ |
279 | // cartezian system | |
280 | if (coord==0 && fFormulaX) return fFormulaX(xyz,fFixedParam->GetMatrixArray()); | |
281 | if (coord==1 && fFormulaY) return fFormulaY(xyz,fFixedParam->GetMatrixArray()); | |
0e9efcbe | 282 | if (coord==2 && fFormulaZ) return fFormulaZ(xyz,fFixedParam->GetMatrixArray()); |
94685752 | 283 | } |
284 | if (fCoordSystem==1){ | |
285 | // cylindrical system | |
286 | if (coord==2) { | |
287 | if (fFormulaZ==0) return 0; | |
288 | return fFormulaZ(xyz,fFixedParam->GetMatrixArray()); | |
289 | } | |
290 | Double_t rrphiz[3]={0,0,0}; | |
291 | if (fFormulaX) rrphiz[0] = fFormulaX(xyz,fFixedParam->GetMatrixArray()); | |
292 | if (fFormulaY) rrphiz[1] = fFormulaY(xyz,fFixedParam->GetMatrixArray()); | |
293 | Double_t alpha = TMath::ATan2(y,x); | |
294 | Double_t ca = TMath::Cos(alpha); | |
295 | Double_t sa = TMath::Sin(alpha); | |
296 | if (coord==0) return ca*rrphiz[0]-sa*rrphiz[1]; | |
297 | if (coord==1) return sa*rrphiz[0]+ca*rrphiz[1]; | |
298 | } | |
299 | return 0; | |
300 | } | |
301 | ||
302 | Double_t AliTPCTransformation::TPCscalingRPol(Double_t *xyz, Double_t * param){ | |
303 | // | |
304 | // Scaling and shift of TPC radius | |
305 | // xyz[0..2] - global xyz of point | |
306 | // xyz[3] - scale parameter | |
6d438146 | 307 | // param[0] - radial scaling power |
308 | // param[1] - drift scaling power | |
309 | // radius from -1(at rInner) to 1 (rOuter) | |
310 | // driftM from -1(at 0 drift) to 1 (250 cm drift) | |
311 | ||
312 | Double_t rInner=78.8; | |
313 | Double_t rOuter=258.0; | |
314 | Double_t deltaR = rOuter-rInner; | |
315 | Double_t radius = (TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1])-rInner)*2./deltaR; | |
316 | Double_t driftM = (0.5 - TMath::Abs(xyz[2]/250.))*2.0; | |
317 | Double_t delta = TMath::Power(radius,param[0])*TMath::Power(driftM,param[1]); | |
318 | return delta*xyz[3]; | |
94685752 | 319 | } |
320 | ||
321 | ||
322 | Double_t AliTPCTransformation::TPCscalingZDr(Double_t *xyz, Double_t * param){ | |
323 | // | |
324 | // | |
325 | // Scaling and shift of TPC radius | |
326 | // xyz[0..2] - global xyz of point | |
327 | // xyz[3] - scale parameter | |
328 | Double_t driftP = TMath::Power(1. - TMath::Abs(xyz[2]/250.), param[0]); | |
329 | Double_t deltaZ = (xyz[2]>0) ? -driftP : driftP; | |
330 | return deltaZ*xyz[3]; | |
331 | } | |
332 | ||
ddf81107 | 333 | |
334 | Double_t AliTPCTransformation::TPCscalingZDrGy(Double_t *xyz, Double_t * param){ | |
335 | // | |
336 | // | |
337 | // Scaling and shift of TPC radius | |
338 | // xyz[0..2] - global xyz of point | |
339 | // xyz[3] - scale parameter | |
340 | Double_t driftP = TMath::Power(1. - TMath::Abs(xyz[2]/250.), param[0]); | |
341 | Double_t gy = xyz[1]/250.; | |
342 | Double_t deltaZ = (xyz[2]>0) ? -driftP : driftP; | |
343 | return deltaZ*xyz[3]*gy; | |
344 | } | |
345 | ||
346 | ||
347 | ||
94685752 | 348 | Double_t AliTPCTransformation::TPCscalingPhiLocal(Double_t *xyz, Double_t * param){ |
349 | // | |
350 | // | |
351 | // Scaling if the local y -phi | |
352 | // xyz[0..2] - global xyz of point | |
353 | // xyz[3] - scale parameter | |
6d438146 | 354 | // value = 1 for ful drift length and parameter 1 |
94685752 | 355 | Double_t alpha = TMath::ATan2(xyz[1],xyz[0]); |
356 | Double_t sector = TMath::Nint(9*alpha/TMath::Pi()-0.5); | |
357 | Double_t localAlpha = (alpha-(sector+0.5)*TMath::Pi()/9.); | |
358 | Double_t radius = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1])/250.; | |
6d438146 | 359 | // |
360 | Double_t deltaAlpha = radius*TMath::Power(2.*9.*localAlpha/TMath::Pi(),param[0]); | |
94685752 | 361 | return deltaAlpha*xyz[3]; |
362 | } | |
363 | ||
364 | ||
6d438146 | 365 | Double_t AliTPCTransformation::TPCscalingRIFC(Double_t *xyz, Double_t * param){ |
366 | // | |
367 | // inner field cage r distorion - proportinal to 1 over distance to the IFC | |
368 | // param[0] - drift polynom order | |
369 | // distortion at first pad row - is normalized to | |
370 | Double_t rInner=78.8; | |
371 | Double_t rFirst=85.2; | |
372 | Double_t deltaR = rFirst-rInner; | |
373 | Double_t ndistR = (TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1])-rInner)/deltaR; | |
374 | Double_t driftM = (0.5 - TMath::Abs(xyz[2]/250.))*2.; | |
375 | Double_t value = TMath::Power(driftM,param[0])/ndistR; | |
376 | return xyz[3]*value; | |
377 | } | |
378 | ||
379 | Double_t AliTPCTransformation::TPCscalingROFC(Double_t *xyz, Double_t * param){ | |
380 | // | |
381 | // outer field cage r distorion - proportinal to 1 over distance to the OFC | |
382 | // param[0] - drift polynom order | |
383 | // driftM - from -1 to 1 | |
384 | // | |
385 | Double_t rLast=245.8; | |
386 | Double_t rOuter=258.0; | |
387 | Double_t deltaR = rOuter-rLast; | |
388 | Double_t ndistR = (rOuter-TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]))/deltaR; | |
389 | Double_t driftM = (0.5 - TMath::Abs(xyz[2]/250.))*2.; | |
390 | Double_t value = TMath::Power(driftM,param[0])/ndistR; | |
391 | return xyz[3]*value; | |
392 | } | |
0e9efcbe | 393 | |
394 | ||
395 | // | |
396 | // TPC sector local misalignment | |
397 | // | |
3649eec1 | 398 | // |
399 | // | |
400 | Double_t AliTPCTransformation:: TPClocaldLxdGX(Double_t *xyz, Double_t * param){ | |
0e9efcbe | 401 | // |
402 | // xyz - [0..2] - position | |
403 | // [3] - scale parameter | |
404 | // [4] - volID | |
3649eec1 | 405 | // param[0]= n - cos(n *alpha) |
406 | // param[1]= n - sin(n *alpha) | |
407 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 408 | // return delta in global coordiante system |
409 | // | |
410 | Int_t sector = TMath::Nint(xyz[4]); | |
411 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
412 | Double_t ca = TMath::Cos(alpha); | |
3649eec1 | 413 | // Double_t sa = TMath::Sin(alpha); |
414 | const Double_t xIROCOROC = 133.4; | |
415 | Double_t factor = xyz[3]; | |
416 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
417 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
418 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
419 | return ca*factor; | |
0e9efcbe | 420 | } |
421 | ||
3649eec1 | 422 | Double_t AliTPCTransformation::TPClocaldLxdGY(Double_t *xyz, Double_t * param){ |
0e9efcbe | 423 | // |
424 | // xyz - [0..2] - position | |
425 | // [3] - scale parameter | |
426 | // [4] - volID | |
3649eec1 | 427 | // param[0]= n - cos(n *alpha) |
428 | // param[1]= n - sin(n *alpha) | |
429 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 430 | // return delta in global coordiante system |
431 | // | |
432 | Int_t sector = TMath::Nint(xyz[4]); | |
433 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
434 | //Double_t ca = TMath::Cos(alpha); | |
435 | Double_t sa = TMath::Sin(alpha); | |
3649eec1 | 436 | const Double_t xIROCOROC = 133.4; |
437 | Double_t factor = xyz[3]; | |
438 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
439 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
440 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
441 | return sa*factor; | |
0e9efcbe | 442 | } |
443 | ||
3649eec1 | 444 | Double_t AliTPCTransformation:: TPClocaldLydGX(Double_t *xyz, Double_t * param){ |
0e9efcbe | 445 | // |
446 | // xyz - [0..2] - position | |
447 | // [3] - scale parameter | |
448 | // [4] - volID | |
3649eec1 | 449 | // param[0]= n - cos(n *alpha) |
450 | // param[1]= n - sin(n *alpha) | |
451 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 452 | // return delta in global coordiante system |
453 | // | |
454 | Int_t sector = TMath::Nint(xyz[4]); | |
455 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
456 | //Double_t ca = TMath::Cos(alpha); | |
457 | Double_t sa = TMath::Sin(alpha); | |
3649eec1 | 458 | const Double_t xIROCOROC = 133.4; |
459 | Double_t factor = xyz[3]; | |
460 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
461 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
462 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
463 | return -sa*factor; | |
0e9efcbe | 464 | } |
465 | ||
3649eec1 | 466 | Double_t AliTPCTransformation::TPClocaldLydGY(Double_t *xyz, Double_t * param){ |
0e9efcbe | 467 | // |
468 | // xyz - [0..2] - position | |
469 | // [3] - scale parameter | |
470 | // [4] - volID | |
3649eec1 | 471 | // param[0]= n - cos(n *alpha) |
472 | // param[1]= n - sin(n *alpha) | |
473 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
0e9efcbe | 474 | // return delta in global coordiante system |
475 | // | |
476 | Int_t sector = TMath::Nint(xyz[4]); | |
477 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
478 | Double_t ca = TMath::Cos(alpha); | |
479 | //Double_t sa = TMath::Sin(alpha); | |
3649eec1 | 480 | const Double_t xIROCOROC = 133.4; |
481 | Double_t factor = xyz[3]; | |
482 | if (param[0]>0) factor*=TMath::Cos(alpha*param[0]); | |
483 | if (param[1]>0) factor*=TMath::Sin(alpha*param[1]); | |
484 | if (param[2]>0.5 && TMath::Sqrt(xyz[1]*xyz[1]+xyz[0]*xyz[0])>xIROCOROC) factor*=-1; | |
485 | return ca*factor; | |
486 | } | |
487 | ||
488 | ||
489 | Double_t AliTPCTransformation::TPClocaldRzdGX(Double_t *xyz, Double_t * param){ | |
490 | // | |
491 | // xyz - [0..2] - position | |
492 | // [3] - scale parameter - rotation angle in mrad | |
493 | // [4] - volID | |
494 | // param[0]= n - cos(n *alpha) | |
495 | // param[1]= n - sin(n *alpha) | |
496 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
497 | // return delta in global coordiante system | |
498 | // | |
499 | Int_t sector = TMath::Nint(xyz[4]); | |
500 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
501 | Double_t ca = TMath::Cos(alpha); | |
502 | Double_t sa = TMath::Sin(alpha); | |
503 | Double_t lx = xyz[0]*ca + xyz[1]*sa; | |
504 | Double_t ly = -xyz[0]*sa + xyz[1]*ca; | |
505 | // | |
506 | const Double_t xIROCOROC = 133.4; | |
507 | lx-=xIROCOROC; | |
508 | Double_t rot = xyz[3]*0.001; // rotation in mrad | |
509 | if (param[0]>0) rot*=TMath::Cos(alpha*param[0]); | |
510 | if (param[1]>0) rot*=TMath::Sin(alpha*param[1]); | |
511 | if (param[2]>0.5 && lx>0) rot*=-1; | |
512 | // | |
513 | Double_t dlxR = - ly*rot; | |
514 | Double_t dlyR = lx*rot; | |
515 | Double_t dgxR = dlxR*ca - dlyR*sa; | |
516 | //Double_t dgyR = dlxR*sa + dlyR*ca; | |
517 | return dgxR; | |
518 | } | |
519 | ||
520 | Double_t AliTPCTransformation::TPClocaldRzdGY(Double_t *xyz, Double_t * param){ | |
521 | // | |
522 | // xyz - [0..2] - position | |
523 | // [3] - scale parameter - rotation angle in mrad | |
524 | // [4] - volID | |
525 | // param[0]= n - cos(n *alpha) | |
526 | // param[1]= n - sin(n *alpha) | |
527 | // param[2] - indication - 0 - the same for IROC OROC 1 - opposite | |
528 | // return delta in global coordiante system | |
529 | // | |
530 | Int_t sector = TMath::Nint(xyz[4]); | |
531 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
532 | Double_t ca = TMath::Cos(alpha); | |
533 | Double_t sa = TMath::Sin(alpha); | |
534 | Double_t lx = xyz[0]*ca + xyz[1]*sa; | |
535 | Double_t ly = -xyz[0]*sa + xyz[1]*ca; | |
536 | // | |
537 | const Double_t xIROCOROC = 133.4; | |
538 | lx-=xIROCOROC; | |
539 | Double_t rot = xyz[3]*0.001; // rotation in mrad | |
540 | if (param[0]>0) rot*=TMath::Cos(alpha*param[0]); | |
541 | if (param[1]>0) rot*=TMath::Sin(alpha*param[1]); | |
542 | if (param[2]>0.5 && lx>0) rot*=-1; | |
543 | Double_t dlxR = - ly*rot; | |
544 | Double_t dlyR = lx*rot; | |
545 | //Double_t dgxR = dlxR*ca - dlyR*sa; | |
546 | Double_t dgyR = dlxR*sa + dlyR*ca; | |
547 | return dgyR; | |
0e9efcbe | 548 | } |
549 | ||
550 | ||
ddf81107 | 551 | |
552 | Double_t AliTPCTransformation::TPCDeltaZMediumLong(Double_t *xyz, Double_t * /*param*/){ | |
0e9efcbe | 553 | // |
554 | // xyz - [0..2] - position | |
555 | // [3] - scale parameter | |
556 | // [4] - volID | |
ddf81107 | 557 | // return delta in global coordinate system |
0e9efcbe | 558 | // |
559 | Int_t sector = TMath::Nint(xyz[4]); | |
560 | Double_t signZ = (sector%36<18) ? 1: -1; // drift direction | |
ddf81107 | 561 | if (sector<36) return 0; |
562 | // | |
563 | const Double_t radiusLong = 198.1; | |
564 | // | |
565 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
566 | Double_t ca = TMath::Cos(alpha); | |
567 | Double_t sa = TMath::Sin(alpha); | |
568 | Double_t lx = xyz[0]*ca + xyz[1]*sa; | |
569 | Double_t sign = (lx<radiusLong) ? 1:-1; | |
570 | return xyz[3]*sign*signZ; | |
0e9efcbe | 571 | } |
572 | ||
ddf81107 | 573 | Double_t AliTPCTransformation::TPCDeltaZ(Double_t *xyz, Double_t * param){ |
0e9efcbe | 574 | // |
575 | // xyz - [0..2] - position | |
576 | // [3] - scale parameter | |
577 | // [4] - volID | |
ddf81107 | 578 | // return delta in global coordiante system |
0e9efcbe | 579 | // |
580 | Int_t sector = TMath::Nint(xyz[4]); | |
ddf81107 | 581 | Double_t delta = (sector%36<18) ? 1: -1; // drift direction |
582 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
583 | Double_t ca = TMath::Cos(alpha); | |
584 | Double_t sa = TMath::Sin(alpha); | |
585 | Double_t lx = xyz[0]*ca + xyz[1]*sa; | |
0e9efcbe | 586 | // |
ddf81107 | 587 | const Double_t xIROCOROC = 133.4; |
588 | if (param[0]>0) delta *= TMath::Cos(param[0]*alpha); | |
589 | if (param[1]>0) delta *= TMath::Sin(param[1]*alpha); | |
590 | if (param[2]>0.5 && lx >xIROCOROC) delta *=-1; | |
591 | return delta*xyz[3]; // IROC shift | |
0e9efcbe | 592 | } |
593 | ||
ddf81107 | 594 | |
0e9efcbe | 595 | Double_t AliTPCTransformation::TPCTiltingZ(Double_t *xyz, Double_t * param){ |
596 | // xyz - [0..2] - position | |
597 | // [3] - scale parameter | |
598 | // [4] - volID | |
599 | // param[0] - n for cos | |
600 | // param[1] - n for sin | |
ddf81107 | 601 | // param[2] - IROC-ORC relative (if >0.5 ) |
0e9efcbe | 602 | // return delta in global coordinate system |
0e9efcbe | 603 | const Double_t rFirst=85.2; |
604 | const Double_t rLast =245.8; | |
ddf81107 | 605 | const Double_t xIROCOROC = 133.4; |
606 | // | |
607 | Int_t sector = TMath::Nint(xyz[4]); | |
608 | Double_t alpha = TMath::Pi()*(sector+0.5)/9; | |
609 | Double_t ca = TMath::Cos(alpha); | |
610 | Double_t sa = TMath::Sin(alpha); | |
611 | Double_t lx = xyz[0]*ca + xyz[1]*sa; | |
612 | Double_t deltaR = 2.0*(lx-xIROCOROC)/(rLast-rFirst); | |
0e9efcbe | 613 | if (param[0]>0) deltaR *= TMath::Cos(param[0]*alpha); |
614 | if (param[1]>0) deltaR *= TMath::Sin(param[1]*alpha); | |
ddf81107 | 615 | if (param[2]>0.5 && lx >xIROCOROC) deltaR *=-1; |
0e9efcbe | 616 | return deltaR*xyz[3]; |
617 | } | |
618 |