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0116859c | 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 | ||
b4caed64 | 16 | // _________________________________________________________________ |
17 | // | |
18 | // Begin_Html | |
19 | // <h2> AliTPCCorrection class </h2> | |
20 | // | |
21 | // The AliTPCCorrection class provides a general framework to deal with space point distortions. | |
22 | // An correction class which inherits from here is for example AliTPCExBBShape or AliTPCExBTwist. <br> | |
23 | // General virtual functions are (for example) CorrectPoint(x,roc) where x is the vector of initial | |
24 | // positions in cartesian coordinates and roc represents the read-out chamber number according to | |
25 | // the offline numbering convention. The vector x is overwritten with the corrected coordinates. <br> | |
26 | // An alternative usage would be CorrectPoint(x,roc,dx), which leaves the vector x untouched, but | |
27 | // returns the distortions via the vector dx. <br> | |
28 | // This class is normally used via the general class AliTPCComposedCorrection. | |
29 | // <p> | |
30 | // Furthermore, the class contains basic geometrical descriptions like field cage radii | |
31 | // (fgkIFCRadius, fgkOFCRadius) and length (fgkTPCZ0) plus the voltages. Also, the definitions | |
32 | // of size and widths of the fulcrums building the grid of the final look-up table, which is | |
33 | // then interpolated, is defined in kNX and fgkXList). | |
34 | // <p> | |
35 | // All physics-model classes below are derived from this class in order to not duplicate code | |
36 | // and to allow a uniform treatment of all physics models. | |
37 | // <p> | |
38 | // <h3> Poisson solver </h3> | |
39 | // A numerical solver of the Poisson equation (relaxation technique) is implemented for 2-dimensional | |
40 | // geometries (r,z) as well as for 3-dimensional problems (r,$\phi$,z). The corresponding function | |
41 | // names are PoissonRelaxation?D. The relevant function arguments are the arrays of the boundary and | |
42 | // initial conditions (ArrayofArrayV, ArrayofChargeDensities) as well as the grid granularity which | |
43 | // is used during the calculation. These inputs can be chosen according to the needs of the physical | |
44 | // effect which is supposed to be simulated. In the 3D version, different symmetry conditions can be set | |
45 | // in order to reduce the calculation time (used in AliTPCFCVoltError3D). | |
46 | // <p> | |
47 | // <h3> Unified plotting functionality </h3> | |
48 | // Generic plot functions were implemented. They return a histogram pointer in the chosen plane of | |
49 | // the TPC drift volume with a selectable grid granularity and the magnitude of the correction vector. | |
50 | // For example, the function CreateHistoDZinXY(z,nx,ny) returns a 2-dimensional histogram which contains | |
51 | // the longitudinal corrections $dz$ in the (x,y)-plane at the given z position with the granularity of | |
52 | // nx and ny. The magnitude of the corrections is defined by the class from which this function is called. | |
53 | // In the same manner, standard plots for the (r,$\phi$)-plane and for the other corrections like $dr$ and $rd\phi$ are available | |
54 | // <p> | |
55 | // Note: This class is normally used via the class AliTPCComposedCorrection | |
56 | // End_Html | |
57 | // | |
6a1caa6b | 58 | // Begin_Macro(source) |
b4caed64 | 59 | // { |
60 | // gROOT->SetStyle("Plain"); gStyle->SetPalette(1); | |
6a1caa6b | 61 | // TCanvas *c2 = new TCanvas("cAliTPCCorrection","cAliTPCCorrection",700,1050); c2->Divide(2,3); |
b4caed64 | 62 | // AliTPCROCVoltError3D roc; // EXAMPLE PLOTS - SEE BELOW |
63 | // roc.SetOmegaTauT1T2(0,1,1); // B=0 | |
64 | // Float_t z0 = 1; // at +1 cm -> A side | |
65 | // c2->cd(1); roc.CreateHistoDRinXY(1.,300,300)->Draw("cont4z"); | |
66 | // c2->cd(3);roc.CreateHistoDRPhiinXY(1.,300,300)->Draw("cont4z"); | |
67 | // c2->cd(5);roc.CreateHistoDZinXY(1.,300,300)->Draw("cont4z"); | |
68 | // Float_t phi0=0.5; | |
69 | // c2->cd(2);roc.CreateHistoDRinZR(phi0)->Draw("surf2"); | |
70 | // c2->cd(4);roc.CreateHistoDRPhiinZR(phi0)->Draw("surf2"); | |
71 | // c2->cd(6);roc.CreateHistoDZinZR(phi0)->Draw("surf2"); | |
72 | // return c2; | |
73 | // } | |
74 | // End_Macro | |
75 | // | |
76 | // Begin_Html | |
77 | // <p> | |
78 | // Date: 27/04/2010 <br> | |
79 | // Authors: Magnus Mager, Stefan Rossegger, Jim Thomas | |
80 | // End_Html | |
81 | // _________________________________________________________________ | |
82 | ||
83 | ||
be67055b | 84 | #include "Riostream.h" |
0116859c | 85 | |
86 | #include <TH2F.h> | |
87 | #include <TMath.h> | |
88 | #include <TROOT.h> | |
cf5b0aa0 | 89 | #include <TTreeStream.h> |
ffab0c37 | 90 | #include <TTree.h> |
91 | #include <TFile.h> | |
e527a1b9 | 92 | #include <TTimeStamp.h> |
ffab0c37 | 93 | #include <AliCDBStorage.h> |
94 | #include <AliCDBId.h> | |
95 | #include <AliCDBMetaData.h> | |
c9cbd2f2 | 96 | #include "TVectorD.h" |
97 | #include "AliTPCParamSR.h" | |
7f4cb119 | 98 | |
c9cbd2f2 | 99 | #include "AliTPCCorrection.h" |
100 | #include "AliLog.h" | |
1b923461 | 101 | |
1b923461 | 102 | #include "AliExternalTrackParam.h" |
103 | #include "AliTrackPointArray.h" | |
104 | #include "TDatabasePDG.h" | |
105 | #include "AliTrackerBase.h" | |
106 | #include "AliTPCROC.h" | |
107 | #include "THnSparse.h" | |
108 | ||
c9cbd2f2 | 109 | #include "AliTPCLaserTrack.h" |
110 | #include "AliESDVertex.h" | |
111 | #include "AliVertexerTracks.h" | |
112 | #include "TDatabasePDG.h" | |
113 | #include "TF1.h" | |
7f4cb119 | 114 | #include "TRandom.h" |
c9cbd2f2 | 115 | |
116 | #include "TDatabasePDG.h" | |
117 | ||
7f4cb119 | 118 | #include "AliTPCTransform.h" |
119 | #include "AliTPCcalibDB.h" | |
120 | #include "AliTPCExB.h" | |
cf5b0aa0 | 121 | |
c9cbd2f2 | 122 | #include "AliTPCRecoParam.h" |
fdbbc146 | 123 | #include "TLinearFitter.h" |
d9ef0909 | 124 | #include <AliSysInfo.h> |
0116859c | 125 | |
cf5b0aa0 | 126 | ClassImp(AliTPCCorrection) |
127 | ||
d9ef0909 | 128 | |
f1817479 | 129 | TObjArray *AliTPCCorrection::fgVisualCorrection=0; |
130 | // instance of correction for visualization | |
131 | ||
132 | ||
0116859c | 133 | // FIXME: the following values should come from the database |
c9cbd2f2 | 134 | const Double_t AliTPCCorrection::fgkTPCZ0 = 249.7; // nominal gating grid position |
2b68ab9c | 135 | const Double_t AliTPCCorrection::fgkIFCRadius= 83.5; // radius which renders the "18 rod manifold" best -> compare calc. of Jim Thomas |
136 | // compare gkIFCRadius= 83.05: Mean Radius of the Inner Field Cage ( 82.43 min, 83.70 max) (cm) | |
c9cbd2f2 | 137 | const Double_t AliTPCCorrection::fgkOFCRadius= 254.5; // Mean Radius of the Outer Field Cage (252.55 min, 256.45 max) (cm) |
138 | const Double_t AliTPCCorrection::fgkZOffSet = 0.2; // Offset from CE: calculate all distortions closer to CE as if at this point | |
139 | const Double_t AliTPCCorrection::fgkCathodeV = -100000.0; // Cathode Voltage (volts) | |
140 | const Double_t AliTPCCorrection::fgkGG = -70.0; // Gating Grid voltage (volts) | |
0116859c | 141 | |
c9cbd2f2 | 142 | const Double_t AliTPCCorrection::fgkdvdE = 0.0024; // [cm/V] drift velocity dependency on the E field (from Magboltz for NeCO2N2 at standard environment) |
0116859c | 143 | |
c9cbd2f2 | 144 | const Double_t AliTPCCorrection::fgkEM = -1.602176487e-19/9.10938215e-31; // charge/mass in [C/kg] |
145 | const Double_t AliTPCCorrection::fgke0 = 8.854187817e-12; // vacuum permittivity [A·s/(V·m)] | |
c9cbd2f2 | 146 | |
0116859c | 147 | |
148 | AliTPCCorrection::AliTPCCorrection() | |
d9ef0909 | 149 | : TNamed("correction_unity","unity"),fILow(0),fJLow(0),fKLow(0), fT1(1), fT2(1), fIsLocal(kFALSE) |
0116859c | 150 | { |
151 | // | |
152 | // default constructor | |
153 | // | |
f1817479 | 154 | if (!fgVisualCorrection) fgVisualCorrection= new TObjArray; |
c9cbd2f2 | 155 | |
35ae345f | 156 | InitLookUpfulcrums(); |
c9cbd2f2 | 157 | |
0116859c | 158 | } |
159 | ||
160 | AliTPCCorrection::AliTPCCorrection(const char *name,const char *title) | |
d9ef0909 | 161 | : TNamed(name,title),fILow(0),fJLow(0),fKLow(0), fT1(1), fT2(1), fIsLocal(kFALSE) |
0116859c | 162 | { |
163 | // | |
164 | // default constructor, that set the name and title | |
165 | // | |
f1817479 | 166 | if (!fgVisualCorrection) fgVisualCorrection= new TObjArray; |
c9cbd2f2 | 167 | |
35ae345f | 168 | InitLookUpfulcrums(); |
c9cbd2f2 | 169 | |
0116859c | 170 | } |
171 | ||
172 | AliTPCCorrection::~AliTPCCorrection() { | |
173 | // | |
174 | // virtual destructor | |
175 | // | |
176 | } | |
177 | ||
178 | void AliTPCCorrection::CorrectPoint(Float_t x[],const Short_t roc) { | |
179 | // | |
180 | // Corrects the initial coordinates x (cartesian coordinates) | |
181 | // according to the given effect (inherited classes) | |
182 | // roc represents the TPC read out chamber (offline numbering convention) | |
183 | // | |
184 | Float_t dx[3]; | |
185 | GetCorrection(x,roc,dx); | |
186 | for (Int_t j=0;j<3;++j) x[j]+=dx[j]; | |
187 | } | |
188 | ||
189 | void AliTPCCorrection::CorrectPoint(const Float_t x[],const Short_t roc,Float_t xp[]) { | |
190 | // | |
191 | // Corrects the initial coordinates x (cartesian coordinates) and stores the new | |
192 | // (distorted) coordinates in xp. The distortion is set according to the given effect (inherited classes) | |
193 | // roc represents the TPC read out chamber (offline numbering convention) | |
194 | // | |
195 | Float_t dx[3]; | |
196 | GetCorrection(x,roc,dx); | |
197 | for (Int_t j=0;j<3;++j) xp[j]=x[j]+dx[j]; | |
198 | } | |
199 | ||
200 | void AliTPCCorrection::DistortPoint(Float_t x[],const Short_t roc) { | |
201 | // | |
202 | // Distorts the initial coordinates x (cartesian coordinates) | |
203 | // according to the given effect (inherited classes) | |
204 | // roc represents the TPC read out chamber (offline numbering convention) | |
205 | // | |
206 | Float_t dx[3]; | |
207 | GetDistortion(x,roc,dx); | |
208 | for (Int_t j=0;j<3;++j) x[j]+=dx[j]; | |
209 | } | |
210 | ||
46e89793 | 211 | void AliTPCCorrection::DistortPointLocal(Float_t x[],const Short_t roc) { |
212 | // | |
213 | // Distorts the initial coordinates x (cartesian coordinates) | |
214 | // according to the given effect (inherited classes) | |
215 | // roc represents the TPC read out chamber (offline numbering convention) | |
216 | // | |
217 | Float_t gxyz[3]={0,0,0}; | |
218 | Double_t alpha = TMath::Pi()*(roc%18+0.5)/18; | |
219 | Double_t ca=TMath::Cos(alpha), sa= TMath::Sin(alpha); | |
220 | gxyz[0]= ca*x[0]+sa*x[1]; | |
221 | gxyz[1]= -sa*x[0]+ca*x[1]; | |
222 | gxyz[2]= x[2]; | |
223 | DistortPoint(gxyz,roc); | |
224 | x[0]= ca*gxyz[0]-sa*gxyz[1]; | |
225 | x[1]= +sa*gxyz[0]+ca*gxyz[1]; | |
226 | x[2]= gxyz[2]; | |
227 | } | |
228 | void AliTPCCorrection::CorrectPointLocal(Float_t x[],const Short_t roc) { | |
229 | // | |
230 | // Distorts the initial coordinates x (cartesian coordinates) | |
231 | // according to the given effect (inherited classes) | |
232 | // roc represents the TPC read out chamber (offline numbering convention) | |
233 | // | |
234 | Float_t gxyz[3]={0,0,0}; | |
235 | Double_t alpha = TMath::Pi()*(roc%18+0.5)/18; | |
236 | Double_t ca=TMath::Cos(alpha), sa= TMath::Sin(alpha); | |
237 | gxyz[0]= ca*x[0]+sa*x[1]; | |
238 | gxyz[1]= -sa*x[0]+ca*x[1]; | |
239 | gxyz[2]= x[2]; | |
240 | CorrectPoint(gxyz,roc); | |
241 | x[0]= ca*gxyz[0]-sa*gxyz[1]; | |
242 | x[1]= sa*gxyz[0]+ca*gxyz[1]; | |
243 | x[2]= gxyz[2]; | |
244 | } | |
245 | ||
0116859c | 246 | void AliTPCCorrection::DistortPoint(const Float_t x[],const Short_t roc,Float_t xp[]) { |
247 | // | |
248 | // Distorts the initial coordinates x (cartesian coordinates) and stores the new | |
249 | // (distorted) coordinates in xp. The distortion is set according to the given effect (inherited classes) | |
250 | // roc represents the TPC read out chamber (offline numbering convention) | |
251 | // | |
252 | Float_t dx[3]; | |
253 | GetDistortion(x,roc,dx); | |
254 | for (Int_t j=0;j<3;++j) xp[j]=x[j]+dx[j]; | |
255 | } | |
256 | ||
257 | void AliTPCCorrection::GetCorrection(const Float_t /*x*/[],const Short_t /*roc*/,Float_t dx[]) { | |
258 | // | |
259 | // This function delivers the correction values dx in respect to the inital coordinates x | |
260 | // roc represents the TPC read out chamber (offline numbering convention) | |
261 | // Note: The dx is overwritten by the inherited effectice class ... | |
262 | // | |
263 | for (Int_t j=0;j<3;++j) { dx[j]=0.; } | |
264 | } | |
265 | ||
266 | void AliTPCCorrection::GetDistortion(const Float_t x[],const Short_t roc,Float_t dx[]) { | |
267 | // | |
268 | // This function delivers the distortion values dx in respect to the inital coordinates x | |
269 | // roc represents the TPC read out chamber (offline numbering convention) | |
270 | // | |
271 | GetCorrection(x,roc,dx); | |
272 | for (Int_t j=0;j<3;++j) dx[j]=-dx[j]; | |
273 | } | |
274 | ||
fdbbc146 | 275 | void AliTPCCorrection::GetCorrectionDz(const Float_t x[],const Short_t roc,Float_t dx[], Float_t delta) { |
276 | // author: marian.ivanov@cern.ch | |
277 | // | |
278 | // In this (virtual)function calculates the dx'/dz, dy'/dz and dz'/dz at given point (x,y,z) | |
279 | // Generic implementation. Better precision can be acchieved knowing the internal structure | |
280 | // of underlying trasnformation. Derived classes can reimplement it. | |
281 | // To calculate correction is fitted in small neighberhood: | |
282 | // (x+-delta,y+-delta,z+-delta) where delta is an argument | |
283 | // | |
284 | // Input parameters: | |
285 | // x[] - space point corrdinate | |
286 | // roc - readout chamber identifier (important e.g to do not miss the side of detector) | |
287 | // delta - define the size of neighberhood | |
288 | // Output parameter: | |
289 | // dx[] - array {dx'/dz, dy'/dz , dz'/dz } | |
290 | ||
d9ef0909 | 291 | // if (fIsLocal){ //standard implemenation provides the correction/distortion integrated over full drift length |
292 | // | |
293 | // | |
294 | // GetCorrection(xyz,roc,dxyz); | |
295 | // } | |
fdbbc146 | 296 | static TLinearFitter fitx(2,"pol1"); |
297 | static TLinearFitter fity(2,"pol1"); | |
298 | static TLinearFitter fitz(2,"pol1"); | |
299 | fitx.ClearPoints(); | |
300 | fity.ClearPoints(); | |
301 | fitz.ClearPoints(); | |
2d4e971f | 302 | Int_t zmin=-2; |
303 | Int_t zmax=0; | |
7a8a504f | 304 | //adjust limits around CE to stay on one side |
305 | if ((roc%36)<18) { | |
306 | //A-Side | |
307 | if ((x[2]+zmin*delta)<0){ | |
308 | zmin=0; | |
309 | zmax=2; | |
310 | if ((x[2]-delta)>0){ | |
311 | zmin=-1; | |
312 | zmax=1; | |
313 | } | |
314 | } | |
315 | } else { | |
316 | //C-Side | |
2d4e971f | 317 | zmin=0; |
318 | zmax=2; | |
7a8a504f | 319 | if ((x[2]+zmax*delta)>0){ |
320 | zmin=-2; | |
321 | zmax=0; | |
322 | if ((x[2]+delta)<0){ | |
323 | zmin=-1; | |
324 | zmax=1; | |
325 | } | |
326 | } | |
2d4e971f | 327 | } |
7a8a504f | 328 | |
fdbbc146 | 329 | for (Int_t xdelta=-1; xdelta<=1; xdelta++) |
330 | for (Int_t ydelta=-1; ydelta<=1; ydelta++){ | |
2d4e971f | 331 | // for (Int_t zdelta=-1; zdelta<=1; zdelta++){ |
332 | // for (Int_t xdelta=-2; xdelta<=0; xdelta++) | |
333 | // for (Int_t ydelta=-2; ydelta<=0; ydelta++){ | |
334 | for (Int_t zdelta=zmin; zdelta<=zmax; zdelta++){ | |
335 | //TODO: what happens if x[2] is on the A-Side, but x[2]+zdelta*delta | |
336 | // will be on the C-Side? | |
fdbbc146 | 337 | Float_t xyz[3]={x[0]+xdelta*delta, x[1]+ydelta*delta, x[2]+zdelta*delta}; |
338 | Float_t dxyz[3]; | |
339 | GetCorrection(xyz,roc,dxyz); | |
340 | Double_t adelta=zdelta*delta; | |
341 | fitx.AddPoint(&adelta, dxyz[0]); | |
342 | fity.AddPoint(&adelta, dxyz[1]); | |
343 | fitz.AddPoint(&adelta, dxyz[2]); | |
344 | } | |
345 | } | |
346 | fitx.Eval(); | |
347 | fity.Eval(); | |
348 | fitz.Eval(); | |
349 | dx[0] = fitx.GetParameter(1); | |
350 | dx[1] = fity.GetParameter(1); | |
351 | dx[2] = fitz.GetParameter(1); | |
352 | } | |
353 | ||
2d4e971f | 354 | void AliTPCCorrection::GetDistortionDz(const Float_t x[],const Short_t roc,Float_t dx[], Float_t delta) { |
355 | // author: marian.ivanov@cern.ch | |
356 | // | |
357 | // In this (virtual)function calculates the dx'/dz, dy'/dz and dz'/dz at given point (x,y,z) | |
358 | // Generic implementation. Better precision can be acchieved knowing the internal structure | |
359 | // of underlying trasnformation. Derived classes can reimplement it. | |
360 | // To calculate distortion is fitted in small neighberhood: | |
361 | // (x+-delta,y+-delta,z+-delta) where delta is an argument | |
362 | // | |
363 | // Input parameters: | |
364 | // x[] - space point corrdinate | |
365 | // roc - readout chamber identifier (important e.g to do not miss the side of detector) | |
366 | // delta - define the size of neighberhood | |
367 | // Output parameter: | |
368 | // dx[] - array {dx'/dz, dy'/dz , dz'/dz } | |
369 | ||
370 | static TLinearFitter fitx(2,"pol1"); | |
371 | static TLinearFitter fity(2,"pol1"); | |
372 | static TLinearFitter fitz(2,"pol1"); | |
373 | fitx.ClearPoints(); | |
374 | fity.ClearPoints(); | |
375 | fitz.ClearPoints(); | |
7a8a504f | 376 | |
377 | Int_t zmin=-1; | |
378 | Int_t zmax=1; | |
379 | //adjust limits around CE to stay on one side | |
380 | if ((roc%36)<18) { | |
381 | //A-Side | |
382 | if ((x[2]+zmin*delta)<0){ | |
383 | zmin=0; | |
384 | zmax=2; | |
385 | } | |
386 | } else { | |
387 | //C-Side | |
388 | if ((x[2]+zmax*delta)>0){ | |
389 | zmin=-2; | |
390 | zmax=0; | |
391 | } | |
392 | } | |
393 | ||
2d4e971f | 394 | //TODO: in principle one shuld check that x[2]+zdelta*delta does not get 'out of' bounds, |
395 | // so close to the CE it doesn't change the sign, since then the corrections will be wrong ... | |
396 | for (Int_t xdelta=-1; xdelta<=1; xdelta++) | |
397 | for (Int_t ydelta=-1; ydelta<=1; ydelta++){ | |
7a8a504f | 398 | for (Int_t zdelta=zmin; zdelta<=zmax; zdelta++){ |
2d4e971f | 399 | //TODO: what happens if x[2] is on the A-Side, but x[2]+zdelta*delta |
400 | // will be on the C-Side? | |
401 | //TODO: For the C-Side, does this have the correct sign? | |
402 | Float_t xyz[3]={x[0]+xdelta*delta, x[1]+ydelta*delta, x[2]+zdelta*delta}; | |
403 | Float_t dxyz[3]; | |
404 | GetDistortion(xyz,roc,dxyz); | |
405 | Double_t adelta=zdelta*delta; | |
406 | fitx.AddPoint(&adelta, dxyz[0]); | |
407 | fity.AddPoint(&adelta, dxyz[1]); | |
408 | fitz.AddPoint(&adelta, dxyz[2]); | |
409 | } | |
410 | } | |
411 | fitx.Eval(); | |
412 | fity.Eval(); | |
413 | fitz.Eval(); | |
414 | dx[0] = fitx.GetParameter(1); | |
415 | dx[1] = fity.GetParameter(1); | |
416 | dx[2] = fitz.GetParameter(1); | |
417 | } | |
418 | ||
fdbbc146 | 419 | void AliTPCCorrection::GetCorrectionIntegralDz(const Float_t x[],const Short_t roc,Float_t dx[], Float_t delta){ |
420 | // | |
2d4e971f | 421 | // Integrate 3D distortion along drift lines starting from the roc plane |
422 | // to the expected z position of the point, this assumes that dz is small | |
423 | // and the error propagating to z' instead of the correct z is negligible | |
fdbbc146 | 424 | // To define the drift lines virtual function AliTPCCorrection::GetCorrectionDz is used |
425 | // | |
426 | // Input parameters: | |
427 | // x[] - space point corrdinate | |
428 | // roc - readout chamber identifier (important e.g to do not miss the side of detector) | |
429 | // delta - define the size of neighberhood | |
430 | // Output parameter: | |
431 | // dx[] - array { integral(dx'/dz), integral(dy'/dz) , integral(dz'/dz) } | |
432 | ||
433 | Float_t zroc= ((roc%36)<18) ? fgkTPCZ0:-fgkTPCZ0; | |
434 | Double_t zdrift = TMath::Abs(x[2]-zroc); | |
435 | Int_t nsteps = Int_t(zdrift/delta)+1; | |
436 | // | |
437 | // | |
2d4e971f | 438 | Float_t xyz[3]={x[0],x[1],zroc}; |
fdbbc146 | 439 | Float_t dxyz[3]={x[0],x[1],x[2]}; |
2d4e971f | 440 | Short_t side=(roc/18)%2; |
441 | Float_t sign=1-2*side; | |
fdbbc146 | 442 | Double_t sumdz=0; |
443 | for (Int_t i=0;i<nsteps; i++){ | |
2d4e971f | 444 | //propagate backwards, therefore opposite signs |
445 | Float_t deltaZ=delta*(-sign); | |
446 | // if (xyz[2]+deltaZ>fgkTPCZ0) deltaZ=TMath::Abs(xyz[2]-fgkTPCZ0); | |
447 | // if (xyz[2]-deltaZ<-fgkTPCZ0) deltaZ=TMath::Abs(xyz[2]-fgkTPCZ0); | |
448 | // protect again integrating through the CE | |
449 | if (side==0){ | |
450 | if (xyz[2]+deltaZ<0) deltaZ=-xyz[2]+1e-20; | |
451 | } else { | |
452 | if (xyz[2]+deltaZ>0) deltaZ=xyz[2]-+1e-20; | |
453 | } | |
454 | // since at larger drift (smaller z) the corrections are larger (absolute, but negative) | |
455 | // the slopes will be positive. | |
456 | // but since we chose deltaZ opposite sign the singn of the corretion should be fine | |
457 | ||
12c02f0f | 458 | Float_t xyz2[3]={xyz[0],xyz[1],xyz[2]+deltaZ/2.}; |
459 | GetCorrectionDz(xyz2,roc,dxyz,delta/2.); | |
2d4e971f | 460 | xyz[0]+=deltaZ*dxyz[0]; |
fdbbc146 | 461 | xyz[1]+=deltaZ*dxyz[1]; |
462 | xyz[2]+=deltaZ; // | |
463 | sumdz+=deltaZ*dxyz[2]; | |
464 | } | |
465 | // | |
2d4e971f | 466 | dx[0]=xyz[0]-x[0]; |
467 | dx[1]=xyz[1]-x[1]; | |
468 | dx[2]= sumdz; //TODO: is sumdz correct? | |
fdbbc146 | 469 | } |
470 | ||
05da1b4e | 471 | void AliTPCCorrection::GetDistortionIntegralDz(const Float_t x[],const Short_t roc,Float_t dx[], Float_t delta){ |
472 | // | |
473 | // Integrate 3D distortion along drift lines | |
474 | // To define the drift lines virtual function AliTPCCorrection::GetCorrectionDz is used | |
475 | // | |
476 | // Input parameters: | |
477 | // x[] - space point corrdinate | |
478 | // roc - readout chamber identifier (important e.g to do not miss the side of detector) | |
479 | // delta - define the size of neighberhood | |
480 | // Output parameter: | |
481 | // dx[] - array { integral(dx'/dz), integral(dy'/dz) , integral(dz'/dz) } | |
482 | ||
483 | Float_t zroc= ((roc%36)<18) ? fgkTPCZ0:-fgkTPCZ0; | |
484 | Double_t zdrift = TMath::Abs(x[2]-zroc); | |
485 | Int_t nsteps = Int_t(zdrift/delta)+1; | |
486 | // | |
487 | // | |
488 | Float_t xyz[3]={x[0],x[1],x[2]}; | |
489 | Float_t dxyz[3]={x[0],x[1],x[2]}; | |
490 | Float_t sign=((roc%36)<18) ? 1.:-1.; | |
491 | Double_t sumdz=0; | |
492 | for (Int_t i=0;i<nsteps; i++){ | |
493 | Float_t deltaZ=delta; | |
2d4e971f | 494 | if (xyz[2]+deltaZ>fgkTPCZ0) deltaZ=TMath::Abs(xyz[2]-zroc); |
495 | if (xyz[2]-deltaZ<-fgkTPCZ0) deltaZ=TMath::Abs(xyz[2]-zroc); | |
496 | // since at larger drift (smaller z) the distortions are larger | |
497 | // the slopes will be negative. | |
498 | // and since we are moving towards the read-out plane the deltaZ for | |
499 | // weighting the dK/dz should have the opposite sign | |
05da1b4e | 500 | deltaZ*=sign; |
12c02f0f | 501 | Float_t xyz2[3]={xyz[0],xyz[1],xyz[2]+deltaZ/2.}; |
502 | GetDistortionDz(xyz2,roc,dxyz,delta/2.); | |
2d4e971f | 503 | xyz[0]+=-deltaZ*dxyz[0]; |
504 | xyz[1]+=-deltaZ*dxyz[1]; | |
505 | xyz[2]+=deltaZ; //TODO: Should this also be corrected for the dxyz[2] | |
506 | sumdz+=-deltaZ*dxyz[2]; | |
05da1b4e | 507 | } |
508 | // | |
2d4e971f | 509 | dx[0]=xyz[0]-x[0]; |
510 | dx[1]=xyz[1]-x[1]; | |
511 | dx[2]= sumdz; //TODO: is sumdz correct? | |
05da1b4e | 512 | |
513 | } | |
fdbbc146 | 514 | |
515 | ||
0116859c | 516 | void AliTPCCorrection::Init() { |
517 | // | |
518 | // Initialization funtion (not used at the moment) | |
519 | // | |
520 | } | |
521 | ||
e527a1b9 | 522 | void AliTPCCorrection::Update(const TTimeStamp &/*timeStamp*/) { |
523 | // | |
524 | // Update function | |
525 | // | |
526 | } | |
527 | ||
0116859c | 528 | void AliTPCCorrection::Print(Option_t* /*option*/) const { |
529 | // | |
530 | // Print function to check which correction classes are used | |
531 | // option=="d" prints details regarding the setted magnitude | |
532 | // option=="a" prints the C0 and C1 coefficents for calibration purposes | |
533 | // | |
534 | printf("TPC spacepoint correction: \"%s\"\n",GetTitle()); | |
535 | } | |
536 | ||
534fd34a | 537 | void AliTPCCorrection:: SetOmegaTauT1T2(Float_t /*omegaTau*/,Float_t t1,Float_t t2) { |
0116859c | 538 | // |
539 | // Virtual funtion to pass the wt values (might become event dependent) to the inherited classes | |
540 | // t1 and t2 represent the "effective omegaTau" corrections and were measured in a dedicated | |
541 | // calibration run | |
542 | // | |
534fd34a | 543 | fT1=t1; |
544 | fT2=t2; | |
545 | //SetOmegaTauT1T2(omegaTau, t1, t2); | |
0116859c | 546 | } |
547 | ||
548 | TH2F* AliTPCCorrection::CreateHistoDRinXY(Float_t z,Int_t nx,Int_t ny) { | |
549 | // | |
550 | // Simple plot functionality. | |
551 | // Returns a 2d hisogram which represents the corrections in radial direction (dr) | |
552 | // in respect to position z within the XY plane. | |
553 | // The histogramm has nx times ny entries. | |
554 | // | |
c9cbd2f2 | 555 | AliTPCParam* tpcparam = new AliTPCParamSR; |
556 | ||
0116859c | 557 | TH2F *h=CreateTH2F("dr_xy",GetTitle(),"x [cm]","y [cm]","dr [cm]", |
558 | nx,-250.,250.,ny,-250.,250.); | |
559 | Float_t x[3],dx[3]; | |
560 | x[2]=z; | |
561 | Int_t roc=z>0.?0:18; // FIXME | |
562 | for (Int_t iy=1;iy<=ny;++iy) { | |
563 | x[1]=h->GetYaxis()->GetBinCenter(iy); | |
564 | for (Int_t ix=1;ix<=nx;++ix) { | |
565 | x[0]=h->GetXaxis()->GetBinCenter(ix); | |
566 | GetCorrection(x,roc,dx); | |
567 | Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] )); | |
c9cbd2f2 | 568 | if (tpcparam->GetPadRowRadii(0,0)<=r0 && r0<=tpcparam->GetPadRowRadii(36,95)) { |
0116859c | 569 | Float_t r1=TMath::Sqrt((x[0]+dx[0])*(x[0]+dx[0])+(x[1]+dx[1])*(x[1]+dx[1])); |
570 | h->SetBinContent(ix,iy,r1-r0); | |
571 | } | |
572 | else | |
573 | h->SetBinContent(ix,iy,0.); | |
574 | } | |
575 | } | |
c9cbd2f2 | 576 | delete tpcparam; |
0116859c | 577 | return h; |
578 | } | |
579 | ||
580 | TH2F* AliTPCCorrection::CreateHistoDRPhiinXY(Float_t z,Int_t nx,Int_t ny) { | |
581 | // | |
582 | // Simple plot functionality. | |
583 | // Returns a 2d hisogram which represents the corrections in rphi direction (drphi) | |
584 | // in respect to position z within the XY plane. | |
585 | // The histogramm has nx times ny entries. | |
586 | // | |
587 | ||
c9cbd2f2 | 588 | AliTPCParam* tpcparam = new AliTPCParamSR; |
589 | ||
0116859c | 590 | TH2F *h=CreateTH2F("drphi_xy",GetTitle(),"x [cm]","y [cm]","drphi [cm]", |
591 | nx,-250.,250.,ny,-250.,250.); | |
592 | Float_t x[3],dx[3]; | |
593 | x[2]=z; | |
594 | Int_t roc=z>0.?0:18; // FIXME | |
595 | for (Int_t iy=1;iy<=ny;++iy) { | |
596 | x[1]=h->GetYaxis()->GetBinCenter(iy); | |
597 | for (Int_t ix=1;ix<=nx;++ix) { | |
598 | x[0]=h->GetXaxis()->GetBinCenter(ix); | |
599 | GetCorrection(x,roc,dx); | |
600 | Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] )); | |
c9cbd2f2 | 601 | if (tpcparam->GetPadRowRadii(0,0)<=r0 && r0<=tpcparam->GetPadRowRadii(36,95)) { |
0116859c | 602 | Float_t phi0=TMath::ATan2(x[1] ,x[0] ); |
603 | Float_t phi1=TMath::ATan2(x[1]+dx[1],x[0]+dx[0]); | |
604 | ||
605 | Float_t dphi=phi1-phi0; | |
606 | if (dphi<TMath::Pi()) dphi+=TMath::TwoPi(); | |
607 | if (dphi>TMath::Pi()) dphi-=TMath::TwoPi(); | |
608 | ||
609 | h->SetBinContent(ix,iy,r0*dphi); | |
610 | } | |
611 | else | |
612 | h->SetBinContent(ix,iy,0.); | |
613 | } | |
614 | } | |
c9cbd2f2 | 615 | delete tpcparam; |
616 | return h; | |
617 | } | |
618 | ||
619 | TH2F* AliTPCCorrection::CreateHistoDZinXY(Float_t z,Int_t nx,Int_t ny) { | |
620 | // | |
621 | // Simple plot functionality. | |
622 | // Returns a 2d hisogram which represents the corrections in longitudinal direction (dz) | |
623 | // in respect to position z within the XY plane. | |
624 | // The histogramm has nx times ny entries. | |
625 | // | |
626 | ||
627 | AliTPCParam* tpcparam = new AliTPCParamSR; | |
628 | ||
629 | TH2F *h=CreateTH2F("dz_xy",GetTitle(),"x [cm]","y [cm]","dz [cm]", | |
630 | nx,-250.,250.,ny,-250.,250.); | |
631 | Float_t x[3],dx[3]; | |
632 | x[2]=z; | |
633 | Int_t roc=z>0.?0:18; // FIXME | |
634 | for (Int_t iy=1;iy<=ny;++iy) { | |
635 | x[1]=h->GetYaxis()->GetBinCenter(iy); | |
636 | for (Int_t ix=1;ix<=nx;++ix) { | |
637 | x[0]=h->GetXaxis()->GetBinCenter(ix); | |
638 | GetCorrection(x,roc,dx); | |
639 | Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] )); | |
640 | if (tpcparam->GetPadRowRadii(0,0)<=r0 && r0<=tpcparam->GetPadRowRadii(36,95)) { | |
641 | h->SetBinContent(ix,iy,dx[2]); | |
642 | } | |
643 | else | |
644 | h->SetBinContent(ix,iy,0.); | |
645 | } | |
646 | } | |
647 | delete tpcparam; | |
0116859c | 648 | return h; |
649 | } | |
650 | ||
651 | TH2F* AliTPCCorrection::CreateHistoDRinZR(Float_t phi,Int_t nz,Int_t nr) { | |
652 | // | |
653 | // Simple plot functionality. | |
654 | // Returns a 2d hisogram which represents the corrections in r direction (dr) | |
655 | // in respect to angle phi within the ZR plane. | |
656 | // The histogramm has nx times ny entries. | |
657 | // | |
658 | TH2F *h=CreateTH2F("dr_zr",GetTitle(),"z [cm]","r [cm]","dr [cm]", | |
659 | nz,-250.,250.,nr,85.,250.); | |
660 | Float_t x[3],dx[3]; | |
661 | for (Int_t ir=1;ir<=nr;++ir) { | |
662 | Float_t radius=h->GetYaxis()->GetBinCenter(ir); | |
663 | x[0]=radius*TMath::Cos(phi); | |
664 | x[1]=radius*TMath::Sin(phi); | |
665 | for (Int_t iz=1;iz<=nz;++iz) { | |
666 | x[2]=h->GetXaxis()->GetBinCenter(iz); | |
667 | Int_t roc=x[2]>0.?0:18; // FIXME | |
668 | GetCorrection(x,roc,dx); | |
669 | Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] )); | |
670 | Float_t r1=TMath::Sqrt((x[0]+dx[0])*(x[0]+dx[0])+(x[1]+dx[1])*(x[1]+dx[1])); | |
671 | h->SetBinContent(iz,ir,r1-r0); | |
672 | } | |
673 | } | |
0116859c | 674 | return h; |
675 | ||
676 | } | |
677 | ||
678 | TH2F* AliTPCCorrection::CreateHistoDRPhiinZR(Float_t phi,Int_t nz,Int_t nr) { | |
679 | // | |
680 | // Simple plot functionality. | |
681 | // Returns a 2d hisogram which represents the corrections in rphi direction (drphi) | |
682 | // in respect to angle phi within the ZR plane. | |
683 | // The histogramm has nx times ny entries. | |
684 | // | |
685 | TH2F *h=CreateTH2F("drphi_zr",GetTitle(),"z [cm]","r [cm]","drphi [cm]", | |
686 | nz,-250.,250.,nr,85.,250.); | |
687 | Float_t x[3],dx[3]; | |
688 | for (Int_t iz=1;iz<=nz;++iz) { | |
689 | x[2]=h->GetXaxis()->GetBinCenter(iz); | |
690 | Int_t roc=x[2]>0.?0:18; // FIXME | |
691 | for (Int_t ir=1;ir<=nr;++ir) { | |
692 | Float_t radius=h->GetYaxis()->GetBinCenter(ir); | |
693 | x[0]=radius*TMath::Cos(phi); | |
694 | x[1]=radius*TMath::Sin(phi); | |
695 | GetCorrection(x,roc,dx); | |
696 | Float_t r0=TMath::Sqrt((x[0] )*(x[0] )+(x[1] )*(x[1] )); | |
697 | Float_t phi0=TMath::ATan2(x[1] ,x[0] ); | |
698 | Float_t phi1=TMath::ATan2(x[1]+dx[1],x[0]+dx[0]); | |
699 | ||
700 | Float_t dphi=phi1-phi0; | |
701 | if (dphi<TMath::Pi()) dphi+=TMath::TwoPi(); | |
702 | if (dphi>TMath::Pi()) dphi-=TMath::TwoPi(); | |
703 | ||
704 | h->SetBinContent(iz,ir,r0*dphi); | |
705 | } | |
706 | } | |
707 | return h; | |
708 | } | |
709 | ||
c9cbd2f2 | 710 | TH2F* AliTPCCorrection::CreateHistoDZinZR(Float_t phi,Int_t nz,Int_t nr) { |
711 | // | |
712 | // Simple plot functionality. | |
713 | // Returns a 2d hisogram which represents the corrections in longitudinal direction (dz) | |
714 | // in respect to angle phi within the ZR plane. | |
715 | // The histogramm has nx times ny entries. | |
716 | // | |
717 | TH2F *h=CreateTH2F("dz_zr",GetTitle(),"z [cm]","r [cm]","dz [cm]", | |
718 | nz,-250.,250.,nr,85.,250.); | |
719 | Float_t x[3],dx[3]; | |
720 | for (Int_t ir=1;ir<=nr;++ir) { | |
721 | Float_t radius=h->GetYaxis()->GetBinCenter(ir); | |
722 | x[0]=radius*TMath::Cos(phi); | |
723 | x[1]=radius*TMath::Sin(phi); | |
724 | for (Int_t iz=1;iz<=nz;++iz) { | |
725 | x[2]=h->GetXaxis()->GetBinCenter(iz); | |
726 | Int_t roc=x[2]>0.?0:18; // FIXME | |
727 | GetCorrection(x,roc,dx); | |
728 | h->SetBinContent(iz,ir,dx[2]); | |
729 | } | |
730 | } | |
731 | return h; | |
732 | ||
733 | } | |
734 | ||
735 | ||
0116859c | 736 | TH2F* AliTPCCorrection::CreateTH2F(const char *name,const char *title, |
737 | const char *xlabel,const char *ylabel,const char *zlabel, | |
738 | Int_t nbinsx,Double_t xlow,Double_t xup, | |
739 | Int_t nbinsy,Double_t ylow,Double_t yup) { | |
740 | // | |
741 | // Helper function to create a 2d histogramm of given size | |
742 | // | |
743 | ||
744 | TString hname=name; | |
745 | Int_t i=0; | |
746 | if (gDirectory) { | |
747 | while (gDirectory->FindObject(hname.Data())) { | |
748 | hname =name; | |
749 | hname+="_"; | |
750 | hname+=i; | |
751 | ++i; | |
752 | } | |
753 | } | |
754 | TH2F *h=new TH2F(hname.Data(),title, | |
755 | nbinsx,xlow,xup, | |
756 | nbinsy,ylow,yup); | |
757 | h->GetXaxis()->SetTitle(xlabel); | |
758 | h->GetYaxis()->SetTitle(ylabel); | |
759 | h->GetZaxis()->SetTitle(zlabel); | |
760 | h->SetStats(0); | |
761 | return h; | |
762 | } | |
763 | ||
0116859c | 764 | // Simple Interpolation functions: e.g. with bi(tri)cubic interpolations (not yet in TH2 and TH3) |
765 | ||
766 | void AliTPCCorrection::Interpolate2DEdistortion( const Int_t order, const Double_t r, const Double_t z, | |
b1f0a2a5 | 767 | const Double_t er[kNZ][kNR], Double_t &erValue ) { |
0116859c | 768 | // |
769 | // Interpolate table - 2D interpolation | |
770 | // | |
25732bff | 771 | Double_t saveEr[5] = {0,0,0,0,0}; |
0116859c | 772 | |
773 | Search( kNZ, fgkZList, z, fJLow ) ; | |
774 | Search( kNR, fgkRList, r, fKLow ) ; | |
775 | if ( fJLow < 0 ) fJLow = 0 ; // check if out of range | |
776 | if ( fKLow < 0 ) fKLow = 0 ; | |
777 | if ( fJLow + order >= kNZ - 1 ) fJLow = kNZ - 1 - order ; | |
778 | if ( fKLow + order >= kNR - 1 ) fKLow = kNR - 1 - order ; | |
779 | ||
780 | for ( Int_t j = fJLow ; j < fJLow + order + 1 ; j++ ) { | |
b1f0a2a5 | 781 | saveEr[j-fJLow] = Interpolate( &fgkRList[fKLow], &er[j][fKLow], order, r ) ; |
0116859c | 782 | } |
b1f0a2a5 | 783 | erValue = Interpolate( &fgkZList[fJLow], saveEr, order, z ) ; |
0116859c | 784 | |
785 | } | |
786 | ||
c9cbd2f2 | 787 | void AliTPCCorrection::Interpolate3DEdistortion( const Int_t order, const Double_t r, const Float_t phi, const Double_t z, |
788 | const Double_t er[kNZ][kNPhi][kNR], const Double_t ephi[kNZ][kNPhi][kNR], const Double_t ez[kNZ][kNPhi][kNR], | |
789 | Double_t &erValue, Double_t &ephiValue, Double_t &ezValue) { | |
790 | // | |
791 | // Interpolate table - 3D interpolation | |
792 | // | |
793 | ||
25732bff | 794 | Double_t saveEr[5]= {0,0,0,0,0}; |
795 | Double_t savedEr[5]= {0,0,0,0,0} ; | |
796 | ||
797 | Double_t saveEphi[5]= {0,0,0,0,0}; | |
798 | Double_t savedEphi[5]= {0,0,0,0,0} ; | |
799 | ||
800 | Double_t saveEz[5]= {0,0,0,0,0}; | |
801 | Double_t savedEz[5]= {0,0,0,0,0} ; | |
c9cbd2f2 | 802 | |
803 | Search( kNZ, fgkZList, z, fILow ) ; | |
804 | Search( kNPhi, fgkPhiList, z, fJLow ) ; | |
805 | Search( kNR, fgkRList, r, fKLow ) ; | |
806 | ||
807 | if ( fILow < 0 ) fILow = 0 ; // check if out of range | |
808 | if ( fJLow < 0 ) fJLow = 0 ; | |
809 | if ( fKLow < 0 ) fKLow = 0 ; | |
810 | ||
811 | if ( fILow + order >= kNZ - 1 ) fILow = kNZ - 1 - order ; | |
812 | if ( fJLow + order >= kNPhi - 1 ) fJLow = kNPhi - 1 - order ; | |
813 | if ( fKLow + order >= kNR - 1 ) fKLow = kNR - 1 - order ; | |
814 | ||
815 | for ( Int_t i = fILow ; i < fILow + order + 1 ; i++ ) { | |
816 | for ( Int_t j = fJLow ; j < fJLow + order + 1 ; j++ ) { | |
817 | saveEr[j-fJLow] = Interpolate( &fgkRList[fKLow], &er[i][j][fKLow], order, r ) ; | |
818 | saveEphi[j-fJLow] = Interpolate( &fgkRList[fKLow], &ephi[i][j][fKLow], order, r ) ; | |
819 | saveEz[j-fJLow] = Interpolate( &fgkRList[fKLow], &ez[i][j][fKLow], order, r ) ; | |
820 | } | |
821 | savedEr[i-fILow] = Interpolate( &fgkPhiList[fJLow], saveEr, order, phi ) ; | |
822 | savedEphi[i-fILow] = Interpolate( &fgkPhiList[fJLow], saveEphi, order, phi ) ; | |
823 | savedEz[i-fILow] = Interpolate( &fgkPhiList[fJLow], saveEz, order, phi ) ; | |
824 | } | |
825 | erValue = Interpolate( &fgkZList[fILow], savedEr, order, z ) ; | |
826 | ephiValue = Interpolate( &fgkZList[fILow], savedEphi, order, z ) ; | |
827 | ezValue = Interpolate( &fgkZList[fILow], savedEz, order, z ) ; | |
828 | ||
829 | } | |
830 | ||
831 | Double_t AliTPCCorrection::Interpolate2DTable( const Int_t order, const Double_t x, const Double_t y, | |
832 | const Int_t nx, const Int_t ny, const Double_t xv[], const Double_t yv[], | |
833 | const TMatrixD &array ) { | |
834 | // | |
835 | // Interpolate table (TMatrix format) - 2D interpolation | |
836 | // | |
837 | ||
838 | static Int_t jlow = 0, klow = 0 ; | |
25732bff | 839 | Double_t saveArray[5] = {0,0,0,0,0} ; |
c9cbd2f2 | 840 | |
841 | Search( nx, xv, x, jlow ) ; | |
842 | Search( ny, yv, y, klow ) ; | |
843 | if ( jlow < 0 ) jlow = 0 ; // check if out of range | |
844 | if ( klow < 0 ) klow = 0 ; | |
845 | if ( jlow + order >= nx - 1 ) jlow = nx - 1 - order ; | |
846 | if ( klow + order >= ny - 1 ) klow = ny - 1 - order ; | |
847 | ||
848 | for ( Int_t j = jlow ; j < jlow + order + 1 ; j++ ) | |
849 | { | |
850 | Double_t *ajkl = &((TMatrixD&)array)(j,klow); | |
851 | saveArray[j-jlow] = Interpolate( &yv[klow], ajkl , order, y ) ; | |
852 | } | |
853 | ||
854 | return( Interpolate( &xv[jlow], saveArray, order, x ) ) ; | |
855 | ||
856 | } | |
857 | ||
858 | Double_t AliTPCCorrection::Interpolate3DTable( const Int_t order, const Double_t x, const Double_t y, const Double_t z, | |
859 | const Int_t nx, const Int_t ny, const Int_t nz, | |
860 | const Double_t xv[], const Double_t yv[], const Double_t zv[], | |
861 | TMatrixD **arrayofArrays ) { | |
862 | // | |
863 | // Interpolate table (TMatrix format) - 3D interpolation | |
864 | // | |
865 | ||
866 | static Int_t ilow = 0, jlow = 0, klow = 0 ; | |
25732bff | 867 | Double_t saveArray[5]= {0,0,0,0,0}; |
868 | Double_t savedArray[5]= {0,0,0,0,0} ; | |
c9cbd2f2 | 869 | |
870 | Search( nx, xv, x, ilow ) ; | |
871 | Search( ny, yv, y, jlow ) ; | |
872 | Search( nz, zv, z, klow ) ; | |
873 | ||
874 | if ( ilow < 0 ) ilow = 0 ; // check if out of range | |
875 | if ( jlow < 0 ) jlow = 0 ; | |
876 | if ( klow < 0 ) klow = 0 ; | |
877 | ||
878 | if ( ilow + order >= nx - 1 ) ilow = nx - 1 - order ; | |
879 | if ( jlow + order >= ny - 1 ) jlow = ny - 1 - order ; | |
880 | if ( klow + order >= nz - 1 ) klow = nz - 1 - order ; | |
881 | ||
882 | for ( Int_t k = klow ; k < klow + order + 1 ; k++ ) | |
883 | { | |
884 | TMatrixD &table = *arrayofArrays[k] ; | |
885 | for ( Int_t i = ilow ; i < ilow + order + 1 ; i++ ) | |
886 | { | |
887 | saveArray[i-ilow] = Interpolate( &yv[jlow], &table(i,jlow), order, y ) ; | |
888 | } | |
889 | savedArray[k-klow] = Interpolate( &xv[ilow], saveArray, order, x ) ; | |
890 | } | |
891 | return( Interpolate( &zv[klow], savedArray, order, z ) ) ; | |
892 | ||
893 | } | |
894 | ||
0116859c | 895 | Double_t AliTPCCorrection::Interpolate( const Double_t xArray[], const Double_t yArray[], |
b1f0a2a5 | 896 | const Int_t order, const Double_t x ) { |
0116859c | 897 | // |
898 | // Interpolate function Y(x) using linear (order=1) or quadratic (order=2) interpolation. | |
899 | // | |
900 | ||
901 | Double_t y ; | |
902 | if ( order == 2 ) { // Quadratic Interpolation = 2 | |
903 | y = (x-xArray[1]) * (x-xArray[2]) * yArray[0] / ( (xArray[0]-xArray[1]) * (xArray[0]-xArray[2]) ) ; | |
904 | y += (x-xArray[2]) * (x-xArray[0]) * yArray[1] / ( (xArray[1]-xArray[2]) * (xArray[1]-xArray[0]) ) ; | |
905 | y += (x-xArray[0]) * (x-xArray[1]) * yArray[2] / ( (xArray[2]-xArray[0]) * (xArray[2]-xArray[1]) ) ; | |
906 | } else { // Linear Interpolation = 1 | |
907 | y = yArray[0] + ( yArray[1]-yArray[0] ) * ( x-xArray[0] ) / ( xArray[1] - xArray[0] ) ; | |
908 | } | |
909 | ||
910 | return (y); | |
911 | ||
912 | } | |
913 | ||
2bf29b72 | 914 | Float_t AliTPCCorrection::Interpolate2DTable( const Int_t order, const Double_t x, const Double_t y, |
915 | const Int_t nx, const Int_t ny, const Double_t xv[], const Double_t yv[], | |
916 | const TMatrixF &array ) { | |
917 | // | |
918 | // Interpolate table (TMatrix format) - 2D interpolation | |
919 | // Float version (in order to decrease the OCDB size) | |
920 | // | |
921 | ||
922 | static Int_t jlow = 0, klow = 0 ; | |
923 | Float_t saveArray[5] = {0.,0.,0.,0.,0.} ; | |
924 | ||
925 | Search( nx, xv, x, jlow ) ; | |
926 | Search( ny, yv, y, klow ) ; | |
927 | if ( jlow < 0 ) jlow = 0 ; // check if out of range | |
928 | if ( klow < 0 ) klow = 0 ; | |
929 | if ( jlow + order >= nx - 1 ) jlow = nx - 1 - order ; | |
930 | if ( klow + order >= ny - 1 ) klow = ny - 1 - order ; | |
931 | ||
932 | for ( Int_t j = jlow ; j < jlow + order + 1 ; j++ ) | |
933 | { | |
934 | Float_t *ajkl = &((TMatrixF&)array)(j,klow); | |
935 | saveArray[j-jlow] = Interpolate( &yv[klow], ajkl , order, y ) ; | |
936 | } | |
937 | ||
938 | return( Interpolate( &xv[jlow], saveArray, order, x ) ) ; | |
939 | ||
940 | } | |
941 | ||
942 | Float_t AliTPCCorrection::Interpolate3DTable( const Int_t order, const Double_t x, const Double_t y, const Double_t z, | |
943 | const Int_t nx, const Int_t ny, const Int_t nz, | |
944 | const Double_t xv[], const Double_t yv[], const Double_t zv[], | |
945 | TMatrixF **arrayofArrays ) { | |
946 | // | |
947 | // Interpolate table (TMatrix format) - 3D interpolation | |
948 | // Float version (in order to decrease the OCDB size) | |
949 | // | |
950 | ||
951 | static Int_t ilow = 0, jlow = 0, klow = 0 ; | |
952 | Float_t saveArray[5]= {0.,0.,0.,0.,0.}; | |
953 | Float_t savedArray[5]= {0.,0.,0.,0.,0.} ; | |
954 | ||
955 | Search( nx, xv, x, ilow ) ; | |
956 | Search( ny, yv, y, jlow ) ; | |
957 | Search( nz, zv, z, klow ) ; | |
958 | ||
959 | if ( ilow < 0 ) ilow = 0 ; // check if out of range | |
960 | if ( jlow < 0 ) jlow = 0 ; | |
961 | if ( klow < 0 ) klow = 0 ; | |
962 | ||
963 | if ( ilow + order >= nx - 1 ) ilow = nx - 1 - order ; | |
964 | if ( jlow + order >= ny - 1 ) jlow = ny - 1 - order ; | |
965 | if ( klow + order >= nz - 1 ) klow = nz - 1 - order ; | |
966 | ||
967 | for ( Int_t k = klow ; k < klow + order + 1 ; k++ ) | |
968 | { | |
969 | TMatrixF &table = *arrayofArrays[k] ; | |
970 | for ( Int_t i = ilow ; i < ilow + order + 1 ; i++ ) | |
971 | { | |
972 | saveArray[i-ilow] = Interpolate( &yv[jlow], &table(i,jlow), order, y ) ; | |
973 | } | |
974 | savedArray[k-klow] = Interpolate( &xv[ilow], saveArray, order, x ) ; | |
975 | } | |
976 | return( Interpolate( &zv[klow], savedArray, order, z ) ) ; | |
977 | ||
978 | } | |
979 | Float_t AliTPCCorrection::Interpolate( const Double_t xArray[], const Float_t yArray[], | |
980 | const Int_t order, const Double_t x ) { | |
981 | // | |
982 | // Interpolate function Y(x) using linear (order=1) or quadratic (order=2) interpolation. | |
983 | // Float version (in order to decrease the OCDB size) | |
984 | // | |
985 | ||
986 | Float_t y ; | |
987 | if ( order == 2 ) { // Quadratic Interpolation = 2 | |
988 | y = (x-xArray[1]) * (x-xArray[2]) * yArray[0] / ( (xArray[0]-xArray[1]) * (xArray[0]-xArray[2]) ) ; | |
989 | y += (x-xArray[2]) * (x-xArray[0]) * yArray[1] / ( (xArray[1]-xArray[2]) * (xArray[1]-xArray[0]) ) ; | |
990 | y += (x-xArray[0]) * (x-xArray[1]) * yArray[2] / ( (xArray[2]-xArray[0]) * (xArray[2]-xArray[1]) ) ; | |
991 | } else { // Linear Interpolation = 1 | |
992 | y = yArray[0] + ( yArray[1]-yArray[0] ) * ( x-xArray[0] ) / ( xArray[1] - xArray[0] ) ; | |
993 | } | |
994 | ||
995 | return (y); | |
996 | ||
997 | } | |
998 | ||
999 | ||
0116859c | 1000 | |
b1f0a2a5 | 1001 | void AliTPCCorrection::Search( const Int_t n, const Double_t xArray[], const Double_t x, Int_t &low ) { |
0116859c | 1002 | // |
1003 | // Search an ordered table by starting at the most recently used point | |
1004 | // | |
1005 | ||
1006 | Long_t middle, high ; | |
1007 | Int_t ascend = 0, increment = 1 ; | |
1008 | ||
1009 | if ( xArray[n-1] >= xArray[0] ) ascend = 1 ; // Ascending ordered table if true | |
1010 | ||
1011 | if ( low < 0 || low > n-1 ) { | |
1012 | low = -1 ; high = n ; | |
1013 | } else { // Ordered Search phase | |
1014 | if ( (Int_t)( x >= xArray[low] ) == ascend ) { | |
1015 | if ( low == n-1 ) return ; | |
1016 | high = low + 1 ; | |
1017 | while ( (Int_t)( x >= xArray[high] ) == ascend ) { | |
1018 | low = high ; | |
1019 | increment *= 2 ; | |
1020 | high = low + increment ; | |
1021 | if ( high > n-1 ) { high = n ; break ; } | |
1022 | } | |
1023 | } else { | |
1024 | if ( low == 0 ) { low = -1 ; return ; } | |
1025 | high = low - 1 ; | |
1026 | while ( (Int_t)( x < xArray[low] ) == ascend ) { | |
1027 | high = low ; | |
1028 | increment *= 2 ; | |
1029 | if ( increment >= high ) { low = -1 ; break ; } | |
1030 | else low = high - increment ; | |
1031 | } | |
1032 | } | |
1033 | } | |
1034 | ||
1035 | while ( (high-low) != 1 ) { // Binary Search Phase | |
1036 | middle = ( high + low ) / 2 ; | |
1037 | if ( (Int_t)( x >= xArray[middle] ) == ascend ) | |
1038 | low = middle ; | |
1039 | else | |
1040 | high = middle ; | |
1041 | } | |
1042 | ||
1043 | if ( x == xArray[n-1] ) low = n-2 ; | |
1044 | if ( x == xArray[0] ) low = 0 ; | |
1045 | ||
1046 | } | |
1047 | ||
35ae345f | 1048 | void AliTPCCorrection::InitLookUpfulcrums() { |
1049 | // | |
1050 | // Initialization of interpolation points - for main look up table | |
1051 | // (course grid in the middle, fine grid on the borders) | |
1052 | // | |
1053 | ||
1054 | AliTPCROC * roc = AliTPCROC::Instance(); | |
1055 | const Double_t rLow = TMath::Floor(roc->GetPadRowRadii(0,0))-1; // first padRow plus some margin | |
1056 | ||
1057 | // fulcrums in R | |
1058 | fgkRList[0] = rLow; | |
1059 | for (Int_t i = 1; i<kNR; i++) { | |
1060 | fgkRList[i] = fgkRList[i-1] + 3.5; // 3.5 cm spacing | |
1061 | if (fgkRList[i]<90 ||fgkRList[i]>245) | |
1062 | fgkRList[i] = fgkRList[i-1] + 0.5; // 0.5 cm spacing | |
1063 | else if (fgkRList[i]<100 || fgkRList[i]>235) | |
1064 | fgkRList[i] = fgkRList[i-1] + 1.5; // 1.5 cm spacing | |
1065 | else if (fgkRList[i]<120 || fgkRList[i]>225) | |
1066 | fgkRList[i] = fgkRList[i-1] + 2.5; // 2.5 cm spacing | |
1067 | } | |
1068 | ||
1069 | // fulcrums in Z | |
1070 | fgkZList[0] = -249.5; | |
1071 | fgkZList[kNZ-1] = 249.5; | |
1072 | for (Int_t j = 1; j<kNZ/2; j++) { | |
1073 | fgkZList[j] = fgkZList[j-1]; | |
1074 | if (TMath::Abs(fgkZList[j])< 0.15) | |
1075 | fgkZList[j] = fgkZList[j-1] + 0.09; // 0.09 cm spacing | |
1076 | else if(TMath::Abs(fgkZList[j])< 0.6) | |
1077 | fgkZList[j] = fgkZList[j-1] + 0.4; // 0.4 cm spacing | |
1078 | else if (TMath::Abs(fgkZList[j])< 2.5 || TMath::Abs(fgkZList[j])>248) | |
1079 | fgkZList[j] = fgkZList[j-1] + 0.5; // 0.5 cm spacing | |
1080 | else if (TMath::Abs(fgkZList[j])<10 || TMath::Abs(fgkZList[j])>235) | |
1081 | fgkZList[j] = fgkZList[j-1] + 1.5; // 1.5 cm spacing | |
1082 | else if (TMath::Abs(fgkZList[j])<25 || TMath::Abs(fgkZList[j])>225) | |
1083 | fgkZList[j] = fgkZList[j-1] + 2.5; // 2.5 cm spacing | |
1084 | else | |
1085 | fgkZList[j] = fgkZList[j-1] + 4; // 4 cm spacing | |
1086 | ||
1087 | fgkZList[kNZ-j-1] = -fgkZList[j]; | |
1088 | } | |
1089 | ||
1090 | // fulcrums in phi | |
1091 | for (Int_t k = 0; k<kNPhi; k++) | |
1092 | fgkPhiList[k] = TMath::TwoPi()*k/(kNPhi-1); | |
1093 | ||
1094 | ||
1095 | } | |
1096 | ||
1097 | ||
c9cbd2f2 | 1098 | void AliTPCCorrection::PoissonRelaxation2D(TMatrixD &arrayV, TMatrixD &chargeDensity, |
1099 | TMatrixD &arrayErOverEz, TMatrixD &arrayDeltaEz, | |
1100 | const Int_t rows, const Int_t columns, const Int_t iterations, | |
1101 | const Bool_t rocDisplacement ) { | |
1b923461 | 1102 | // |
1103 | // Solve Poisson's Equation by Relaxation Technique in 2D (assuming cylindrical symmetry) | |
1104 | // | |
1105 | // Solve Poissons equation in a cylindrical coordinate system. The arrayV matrix must be filled with the | |
1106 | // boundary conditions on the first and last rows, and the first and last columns. The remainder of the | |
1107 | // array can be blank or contain a preliminary guess at the solution. The Charge density matrix contains | |
1108 | // the enclosed spacecharge density at each point. The charge density matrix can be full of zero's if | |
1109 | // you wish to solve Laplaces equation however it should not contain random numbers or you will get | |
1110 | // random numbers back as a solution. | |
1111 | // Poisson's equation is solved by iteratively relaxing the matrix to the final solution. In order to | |
1112 | // speed up the convergence to the best solution, this algorithm does a binary expansion of the solution | |
1113 | // space. First it solves the problem on a very sparse grid by skipping rows and columns in the original | |
1114 | // matrix. Then it doubles the number of points and solves the problem again. Then it doubles the | |
1115 | // number of points and solves the problem again. This happens several times until the maximum number | |
1116 | // of points has been included in the array. | |
1117 | // | |
1118 | // NOTE: In order for this algorithmto work, the number of rows and columns must be a power of 2 plus one. | |
1119 | // So rows == 2**M + 1 and columns == 2**N + 1. The number of rows and columns can be different. | |
1120 | // | |
c9cbd2f2 | 1121 | // NOTE: rocDisplacement is used to include (or ignore) the ROC misalignment in the dz calculation |
1122 | // | |
1b923461 | 1123 | // Original code by Jim Thomas (STAR TPC Collaboration) |
1124 | // | |
1125 | ||
1126 | Double_t ezField = (fgkCathodeV-fgkGG)/fgkTPCZ0; // = ALICE Electric Field (V/cm) Magnitude ~ -400 V/cm; | |
1127 | ||
1128 | const Float_t gridSizeR = (fgkOFCRadius-fgkIFCRadius) / (rows-1) ; | |
1129 | const Float_t gridSizeZ = fgkTPCZ0 / (columns-1) ; | |
1130 | const Float_t ratio = gridSizeR*gridSizeR / (gridSizeZ*gridSizeZ) ; | |
1131 | ||
1132 | TMatrixD arrayEr(rows,columns) ; | |
1133 | TMatrixD arrayEz(rows,columns) ; | |
1134 | ||
1135 | //Check that number of rows and columns is suitable for a binary expansion | |
1136 | ||
1137 | if ( !IsPowerOfTwo(rows-1) ) { | |
1138 | AliError("PoissonRelaxation - Error in the number of rows. Must be 2**M - 1"); | |
1139 | return; | |
1140 | } | |
1141 | if ( !IsPowerOfTwo(columns-1) ) { | |
1142 | AliError("PoissonRelaxation - Error in the number of columns. Must be 2**N - 1"); | |
1143 | return; | |
1144 | } | |
1145 | ||
1146 | // Solve Poisson's equation in cylindrical coordinates by relaxation technique | |
1147 | // Allow for different size grid spacing in R and Z directions | |
1148 | // Use a binary expansion of the size of the matrix to speed up the solution of the problem | |
1149 | ||
1150 | Int_t iOne = (rows-1)/4 ; | |
1151 | Int_t jOne = (columns-1)/4 ; | |
1152 | // Solve for N in 2**N, add one. | |
1153 | Int_t loops = 1 + (int) ( 0.5 + TMath::Log2( (double) TMath::Max(iOne,jOne) ) ) ; | |
1154 | ||
1155 | for ( Int_t count = 0 ; count < loops ; count++ ) { | |
1156 | // Loop while the matrix expands & the resolution increases. | |
1157 | ||
1158 | Float_t tempGridSizeR = gridSizeR * iOne ; | |
1159 | Float_t tempRatio = ratio * iOne * iOne / ( jOne * jOne ) ; | |
1160 | Float_t tempFourth = 1.0 / (2.0 + 2.0*tempRatio) ; | |
1161 | ||
1162 | // Do this the standard C++ way to avoid gcc extensions for Float_t coef1[rows] | |
1163 | std::vector<float> coef1(rows) ; | |
1164 | std::vector<float> coef2(rows) ; | |
1165 | ||
1166 | for ( Int_t i = iOne ; i < rows-1 ; i+=iOne ) { | |
1167 | Float_t radius = fgkIFCRadius + i*gridSizeR ; | |
1168 | coef1[i] = 1.0 + tempGridSizeR/(2*radius); | |
1169 | coef2[i] = 1.0 - tempGridSizeR/(2*radius); | |
1170 | } | |
1171 | ||
1172 | TMatrixD sumChargeDensity(rows,columns) ; | |
1173 | ||
1174 | for ( Int_t i = iOne ; i < rows-1 ; i += iOne ) { | |
1175 | Float_t radius = fgkIFCRadius + iOne*gridSizeR ; | |
1176 | for ( Int_t j = jOne ; j < columns-1 ; j += jOne ) { | |
1177 | if ( iOne == 1 && jOne == 1 ) sumChargeDensity(i,j) = chargeDensity(i,j) ; | |
1178 | else { | |
1179 | // Add up all enclosed charge density contributions within 1/2 unit in all directions | |
1180 | Float_t weight = 0.0 ; | |
1181 | Float_t sum = 0.0 ; | |
1182 | sumChargeDensity(i,j) = 0.0 ; | |
1183 | for ( Int_t ii = i-iOne/2 ; ii <= i+iOne/2 ; ii++ ) { | |
1184 | for ( Int_t jj = j-jOne/2 ; jj <= j+jOne/2 ; jj++ ) { | |
1185 | if ( ii == i-iOne/2 || ii == i+iOne/2 || jj == j-jOne/2 || jj == j+jOne/2 ) weight = 0.5 ; | |
1186 | else | |
1187 | weight = 1.0 ; | |
1188 | // Note that this is cylindrical geometry | |
1189 | sumChargeDensity(i,j) += chargeDensity(ii,jj)*weight*radius ; | |
1190 | sum += weight*radius ; | |
1191 | } | |
1192 | } | |
1193 | sumChargeDensity(i,j) /= sum ; | |
1194 | } | |
1195 | sumChargeDensity(i,j) *= tempGridSizeR*tempGridSizeR; // just saving a step later on | |
1196 | } | |
1197 | } | |
1198 | ||
1199 | for ( Int_t k = 1 ; k <= iterations; k++ ) { | |
1200 | // Solve Poisson's Equation | |
1201 | // Over-relaxation index, must be >= 1 but < 2. Arrange for it to evolve from 2 => 1 | |
1202 | // as interations increase. | |
1203 | Float_t overRelax = 1.0 + TMath::Sqrt( TMath::Cos( (k*TMath::PiOver2())/iterations ) ) ; | |
1204 | Float_t overRelaxM1 = overRelax - 1.0 ; | |
1205 | Float_t overRelaxtempFourth, overRelaxcoef5 ; | |
1206 | overRelaxtempFourth = overRelax * tempFourth ; | |
1207 | overRelaxcoef5 = overRelaxM1 / overRelaxtempFourth ; | |
1208 | ||
1209 | for ( Int_t i = iOne ; i < rows-1 ; i += iOne ) { | |
1210 | for ( Int_t j = jOne ; j < columns-1 ; j += jOne ) { | |
1211 | ||
1212 | arrayV(i,j) = ( coef2[i] * arrayV(i-iOne,j) | |
1213 | + tempRatio * ( arrayV(i,j-jOne) + arrayV(i,j+jOne) ) | |
1214 | - overRelaxcoef5 * arrayV(i,j) | |
1215 | + coef1[i] * arrayV(i+iOne,j) | |
1216 | + sumChargeDensity(i,j) | |
1217 | ) * overRelaxtempFourth; | |
1218 | } | |
1219 | } | |
1220 | ||
1221 | if ( k == iterations ) { | |
1222 | // After full solution is achieved, copy low resolution solution into higher res array | |
1223 | for ( Int_t i = iOne ; i < rows-1 ; i += iOne ) { | |
1224 | for ( Int_t j = jOne ; j < columns-1 ; j += jOne ) { | |
1225 | ||
1226 | if ( iOne > 1 ) { | |
1227 | arrayV(i+iOne/2,j) = ( arrayV(i+iOne,j) + arrayV(i,j) ) / 2 ; | |
1228 | if ( i == iOne ) arrayV(i-iOne/2,j) = ( arrayV(0,j) + arrayV(iOne,j) ) / 2 ; | |
1229 | } | |
1230 | if ( jOne > 1 ) { | |
1231 | arrayV(i,j+jOne/2) = ( arrayV(i,j+jOne) + arrayV(i,j) ) / 2 ; | |
1232 | if ( j == jOne ) arrayV(i,j-jOne/2) = ( arrayV(i,0) + arrayV(i,jOne) ) / 2 ; | |
1233 | } | |
1234 | if ( iOne > 1 && jOne > 1 ) { | |
1235 | arrayV(i+iOne/2,j+jOne/2) = ( arrayV(i+iOne,j+jOne) + arrayV(i,j) ) / 2 ; | |
1236 | if ( i == iOne ) arrayV(i-iOne/2,j-jOne/2) = ( arrayV(0,j-jOne) + arrayV(iOne,j) ) / 2 ; | |
1237 | if ( j == jOne ) arrayV(i-iOne/2,j-jOne/2) = ( arrayV(i-iOne,0) + arrayV(i,jOne) ) / 2 ; | |
1238 | // Note that this leaves a point at the upper left and lower right corners uninitialized. | |
1239 | // -> Not a big deal. | |
1240 | } | |
1241 | ||
1242 | } | |
1243 | } | |
1244 | } | |
1245 | ||
1246 | } | |
1247 | ||
1248 | iOne = iOne / 2 ; if ( iOne < 1 ) iOne = 1 ; | |
1249 | jOne = jOne / 2 ; if ( jOne < 1 ) jOne = 1 ; | |
1250 | ||
c9cbd2f2 | 1251 | sumChargeDensity.Clear(); |
1b923461 | 1252 | } |
1253 | ||
1254 | // Differentiate V(r) and solve for E(r) using special equations for the first and last rows | |
1255 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
1256 | for ( Int_t i = 1 ; i < rows-1 ; i++ ) arrayEr(i,j) = -1 * ( arrayV(i+1,j) - arrayV(i-1,j) ) / (2*gridSizeR) ; | |
1257 | arrayEr(0,j) = -1 * ( -0.5*arrayV(2,j) + 2.0*arrayV(1,j) - 1.5*arrayV(0,j) ) / gridSizeR ; | |
1258 | arrayEr(rows-1,j) = -1 * ( 1.5*arrayV(rows-1,j) - 2.0*arrayV(rows-2,j) + 0.5*arrayV(rows-3,j) ) / gridSizeR ; | |
1259 | } | |
1260 | ||
1261 | // Differentiate V(z) and solve for E(z) using special equations for the first and last columns | |
1262 | for ( Int_t i = 0 ; i < rows ; i++) { | |
1263 | for ( Int_t j = 1 ; j < columns-1 ; j++ ) arrayEz(i,j) = -1 * ( arrayV(i,j+1) - arrayV(i,j-1) ) / (2*gridSizeZ) ; | |
1264 | arrayEz(i,0) = -1 * ( -0.5*arrayV(i,2) + 2.0*arrayV(i,1) - 1.5*arrayV(i,0) ) / gridSizeZ ; | |
1265 | arrayEz(i,columns-1) = -1 * ( 1.5*arrayV(i,columns-1) - 2.0*arrayV(i,columns-2) + 0.5*arrayV(i,columns-3) ) / gridSizeZ ; | |
1266 | } | |
1267 | ||
1268 | for ( Int_t i = 0 ; i < rows ; i++) { | |
1269 | // Note: go back and compare to old version of this code. See notes below. | |
1270 | // JT Test ... attempt to divide by real Ez not Ez to first order | |
1271 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
1272 | arrayEz(i,j) += ezField; | |
1273 | // This adds back the overall Z gradient of the field (main E field component) | |
1274 | } | |
1275 | // Warning: (-=) assumes you are using an error potetial without the overall Field included | |
1276 | } | |
1277 | ||
1278 | // Integrate Er/Ez from Z to zero | |
1279 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
1280 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
c9cbd2f2 | 1281 | |
1b923461 | 1282 | Int_t index = 1 ; // Simpsons rule if N=odd. If N!=odd then add extra point by trapezoidal rule. |
1283 | arrayErOverEz(i,j) = 0.0 ; | |
c9cbd2f2 | 1284 | arrayDeltaEz(i,j) = 0.0 ; |
1285 | ||
1b923461 | 1286 | for ( Int_t k = j ; k < columns ; k++ ) { |
1287 | arrayErOverEz(i,j) += index*(gridSizeZ/3.0)*arrayEr(i,k)/arrayEz(i,k) ; | |
c9cbd2f2 | 1288 | arrayDeltaEz(i,j) += index*(gridSizeZ/3.0)*(arrayEz(i,k)-ezField) ; |
1b923461 | 1289 | if ( index != 4 ) index = 4; else index = 2 ; |
1290 | } | |
c9cbd2f2 | 1291 | if ( index == 4 ) { |
1292 | arrayErOverEz(i,j) -= (gridSizeZ/3.0)*arrayEr(i,columns-1)/arrayEz(i,columns-1) ; | |
1293 | arrayDeltaEz(i,j) -= (gridSizeZ/3.0)*(arrayEz(i,columns-1)-ezField) ; | |
1294 | } | |
1295 | if ( index == 2 ) { | |
1296 | arrayErOverEz(i,j) += (gridSizeZ/3.0) * ( 0.5*arrayEr(i,columns-2)/arrayEz(i,columns-2) | |
1297 | -2.5*arrayEr(i,columns-1)/arrayEz(i,columns-1)); | |
1298 | arrayDeltaEz(i,j) += (gridSizeZ/3.0) * ( 0.5*(arrayEz(i,columns-2)-ezField) | |
1299 | -2.5*(arrayEz(i,columns-1)-ezField)); | |
1300 | } | |
1301 | if ( j == columns-2 ) { | |
1302 | arrayErOverEz(i,j) = (gridSizeZ/3.0) * ( 1.5*arrayEr(i,columns-2)/arrayEz(i,columns-2) | |
1303 | +1.5*arrayEr(i,columns-1)/arrayEz(i,columns-1) ) ; | |
1304 | arrayDeltaEz(i,j) = (gridSizeZ/3.0) * ( 1.5*(arrayEz(i,columns-2)-ezField) | |
1305 | +1.5*(arrayEz(i,columns-1)-ezField) ) ; | |
1306 | } | |
1307 | if ( j == columns-1 ) { | |
1308 | arrayErOverEz(i,j) = 0.0 ; | |
1309 | arrayDeltaEz(i,j) = 0.0 ; | |
1310 | } | |
1b923461 | 1311 | } |
1312 | } | |
1313 | ||
c9cbd2f2 | 1314 | // calculate z distortion from the integrated Delta Ez residuals |
1315 | // and include the aquivalence (Volt to cm) of the ROC shift !! | |
1316 | ||
1317 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
1318 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1319 | ||
1320 | // Scale the Ez distortions with the drift velocity pertubation -> delivers cm | |
1321 | arrayDeltaEz(i,j) = arrayDeltaEz(i,j)*fgkdvdE; | |
1322 | ||
1323 | // ROC Potential in cm aquivalent | |
1324 | Double_t dzROCShift = arrayV(i, columns -1)/ezField; | |
1325 | if ( rocDisplacement ) arrayDeltaEz(i,j) = arrayDeltaEz(i,j) + dzROCShift; // add the ROC misaligment | |
1326 | ||
1327 | } | |
1328 | } | |
1329 | ||
1330 | arrayEr.Clear(); | |
1331 | arrayEz.Clear(); | |
1332 | ||
1b923461 | 1333 | } |
1334 | ||
c9cbd2f2 | 1335 | void AliTPCCorrection::PoissonRelaxation3D( TMatrixD**arrayofArrayV, TMatrixD**arrayofChargeDensities, |
1336 | TMatrixD**arrayofEroverEz, TMatrixD**arrayofEPhioverEz, TMatrixD**arrayofDeltaEz, | |
1337 | const Int_t rows, const Int_t columns, const Int_t phislices, | |
1338 | const Float_t deltaphi, const Int_t iterations, const Int_t symmetry, | |
1339 | Bool_t rocDisplacement ) { | |
1340 | // | |
1341 | // 3D - Solve Poisson's Equation in 3D by Relaxation Technique | |
1342 | // | |
1343 | // NOTE: In order for this algorith to work, the number of rows and columns must be a power of 2 plus one. | |
1344 | // The number of rows and COLUMNS can be different. | |
1345 | // | |
1346 | // ROWS == 2**M + 1 | |
1347 | // COLUMNS == 2**N + 1 | |
1348 | // PHISLICES == Arbitrary but greater than 3 | |
1349 | // | |
1350 | // DeltaPhi in Radians | |
1351 | // | |
1352 | // SYMMETRY = 0 if no phi symmetries, and no phi boundary conditions | |
1353 | // = 1 if we have reflection symmetry at the boundaries (eg. sector symmetry or half sector symmetries). | |
1354 | // | |
1355 | // NOTE: rocDisplacement is used to include (or ignore) the ROC misalignment in the dz calculation | |
1356 | ||
1357 | const Double_t ezField = (fgkCathodeV-fgkGG)/fgkTPCZ0; // = ALICE Electric Field (V/cm) Magnitude ~ -400 V/cm; | |
1358 | ||
1359 | const Float_t gridSizeR = (fgkOFCRadius-fgkIFCRadius) / (rows-1) ; | |
1360 | const Float_t gridSizePhi = deltaphi ; | |
1361 | const Float_t gridSizeZ = fgkTPCZ0 / (columns-1) ; | |
1362 | const Float_t ratioPhi = gridSizeR*gridSizeR / (gridSizePhi*gridSizePhi) ; | |
1363 | const Float_t ratioZ = gridSizeR*gridSizeR / (gridSizeZ*gridSizeZ) ; | |
1364 | ||
1365 | TMatrixD arrayE(rows,columns) ; | |
1366 | ||
1367 | // Check that the number of rows and columns is suitable for a binary expansion | |
1368 | if ( !IsPowerOfTwo((rows-1)) ) { | |
1369 | AliError("Poisson3DRelaxation - Error in the number of rows. Must be 2**M - 1"); | |
1370 | return; } | |
1371 | if ( !IsPowerOfTwo((columns-1)) ) { | |
1372 | AliError("Poisson3DRelaxation - Error in the number of columns. Must be 2**N - 1"); | |
1373 | return; } | |
1374 | if ( phislices <= 3 ) { | |
1375 | AliError("Poisson3DRelaxation - Error in the number of phislices. Must be larger than 3"); | |
1376 | return; } | |
1377 | if ( phislices > 1000 ) { | |
1378 | AliError("Poisson3D phislices > 1000 is not allowed (nor wise) "); | |
1379 | return; } | |
1380 | ||
1381 | // Solve Poisson's equation in cylindrical coordinates by relaxation technique | |
1382 | // Allow for different size grid spacing in R and Z directions | |
1383 | // Use a binary expansion of the matrix to speed up the solution of the problem | |
1384 | ||
1385 | Int_t loops, mplus, mminus, signplus, signminus ; | |
1386 | Int_t ione = (rows-1)/4 ; | |
1387 | Int_t jone = (columns-1)/4 ; | |
1388 | loops = TMath::Max(ione, jone) ; // Calculate the number of loops for the binary expansion | |
1389 | loops = 1 + (int) ( 0.5 + TMath::Log2((double)loops) ) ; // Solve for N in 2**N | |
1390 | ||
1391 | TMatrixD* arrayofSumChargeDensities[1000] ; // Create temporary arrays to store low resolution charge arrays | |
1392 | ||
1393 | for ( Int_t i = 0 ; i < phislices ; i++ ) { arrayofSumChargeDensities[i] = new TMatrixD(rows,columns) ; } | |
d9ef0909 | 1394 | AliSysInfo::AddStamp("3DInit", 10,0,0); |
c9cbd2f2 | 1395 | |
1396 | for ( Int_t count = 0 ; count < loops ; count++ ) { // START the master loop and do the binary expansion | |
d9ef0909 | 1397 | AliSysInfo::AddStamp("3Diter", 20,count,0); |
c9cbd2f2 | 1398 | |
1399 | Float_t tempgridSizeR = gridSizeR * ione ; | |
1400 | Float_t tempratioPhi = ratioPhi * ione * ione ; // Used tobe divided by ( m_one * m_one ) when m_one was != 1 | |
1401 | Float_t tempratioZ = ratioZ * ione * ione / ( jone * jone ) ; | |
1402 | ||
1403 | std::vector<float> coef1(rows) ; // Do this the standard C++ way to avoid gcc extensions for Float_t coef1[rows] | |
1404 | std::vector<float> coef2(rows) ; // Do this the standard C++ way to avoid gcc extensions for Float_t coef1[rows] | |
1405 | std::vector<float> coef3(rows) ; // Do this the standard C++ way to avoid gcc extensions for Float_t coef1[rows] | |
1406 | std::vector<float> coef4(rows) ; // Do this the standard C++ way to avoid gcc extensions for Float_t coef1[rows] | |
1407 | ||
1408 | for ( Int_t i = ione ; i < rows-1 ; i+=ione ) { | |
1409 | Float_t radius = fgkIFCRadius + i*gridSizeR ; | |
1410 | coef1[i] = 1.0 + tempgridSizeR/(2*radius); | |
1411 | coef2[i] = 1.0 - tempgridSizeR/(2*radius); | |
1412 | coef3[i] = tempratioPhi/(radius*radius); | |
1413 | coef4[i] = 0.5 / (1.0 + tempratioZ + coef3[i]); | |
1414 | } | |
1415 | ||
1416 | for ( Int_t m = 0 ; m < phislices ; m++ ) { | |
1417 | TMatrixD &chargeDensity = *arrayofChargeDensities[m] ; | |
1418 | TMatrixD &sumChargeDensity = *arrayofSumChargeDensities[m] ; | |
1419 | for ( Int_t i = ione ; i < rows-1 ; i += ione ) { | |
1420 | Float_t radius = fgkIFCRadius + i*gridSizeR ; | |
1421 | for ( Int_t j = jone ; j < columns-1 ; j += jone ) { | |
1422 | if ( ione == 1 && jone == 1 ) sumChargeDensity(i,j) = chargeDensity(i,j) ; | |
1423 | else { // Add up all enclosed charge density contributions within 1/2 unit in all directions | |
1424 | Float_t weight = 0.0 ; | |
1425 | Float_t sum = 0.0 ; | |
1426 | sumChargeDensity(i,j) = 0.0 ; | |
1427 | for ( Int_t ii = i-ione/2 ; ii <= i+ione/2 ; ii++ ) { | |
1428 | for ( Int_t jj = j-jone/2 ; jj <= j+jone/2 ; jj++ ) { | |
1429 | if ( ii == i-ione/2 || ii == i+ione/2 || jj == j-jone/2 || jj == j+jone/2 ) weight = 0.5 ; | |
1430 | else | |
1431 | weight = 1.0 ; | |
1432 | sumChargeDensity(i,j) += chargeDensity(ii,jj)*weight*radius ; | |
1433 | sum += weight*radius ; | |
1434 | } | |
1435 | } | |
1436 | sumChargeDensity(i,j) /= sum ; | |
1437 | } | |
1438 | sumChargeDensity(i,j) *= tempgridSizeR*tempgridSizeR; // just saving a step later on | |
1439 | } | |
1440 | } | |
1441 | } | |
1442 | ||
1443 | for ( Int_t k = 1 ; k <= iterations; k++ ) { | |
1444 | ||
1445 | // over-relaxation index, >= 1 but < 2 | |
1446 | Float_t overRelax = 1.0 + TMath::Sqrt( TMath::Cos( (k*TMath::PiOver2())/iterations ) ) ; | |
1447 | Float_t overRelaxM1 = overRelax - 1.0 ; | |
1448 | ||
1449 | std::vector<float> overRelaxcoef4(rows) ; // Do this the standard C++ way to avoid gcc extensions | |
1450 | std::vector<float> overRelaxcoef5(rows) ; // Do this the standard C++ way to avoid gcc extensions | |
1451 | ||
1452 | for ( Int_t i = ione ; i < rows-1 ; i+=ione ) { | |
1453 | overRelaxcoef4[i] = overRelax * coef4[i] ; | |
1454 | overRelaxcoef5[i] = overRelaxM1 / overRelaxcoef4[i] ; | |
1455 | } | |
1456 | ||
1457 | for ( Int_t m = 0 ; m < phislices ; m++ ) { | |
1458 | ||
1459 | mplus = m + 1; signplus = 1 ; | |
1460 | mminus = m - 1 ; signminus = 1 ; | |
1461 | if (symmetry==1) { // Reflection symmetry in phi (e.g. symmetry at sector boundaries, or half sectors, etc.) | |
1462 | if ( mplus > phislices-1 ) mplus = phislices - 2 ; | |
1463 | if ( mminus < 0 ) mminus = 1 ; | |
1464 | } | |
1465 | else if (symmetry==-1) { // Anti-symmetry in phi | |
1466 | if ( mplus > phislices-1 ) { mplus = phislices - 2 ; signplus = -1 ; } | |
1467 | if ( mminus < 0 ) { mminus = 1 ; signminus = -1 ; } | |
1468 | } | |
1469 | else { // No Symmetries in phi, no boundaries, the calculation is continuous across all phi | |
1470 | if ( mplus > phislices-1 ) mplus = m + 1 - phislices ; | |
1471 | if ( mminus < 0 ) mminus = m - 1 + phislices ; | |
1472 | } | |
1473 | TMatrixD& arrayV = *arrayofArrayV[m] ; | |
1474 | TMatrixD& arrayVP = *arrayofArrayV[mplus] ; | |
1475 | TMatrixD& arrayVM = *arrayofArrayV[mminus] ; | |
1476 | TMatrixD& sumChargeDensity = *arrayofSumChargeDensities[m] ; | |
d9ef0909 | 1477 | Double_t *arrayVfast = arrayV.GetMatrixArray(); |
1478 | Double_t *arrayVPfast = arrayVP.GetMatrixArray(); | |
1479 | Double_t *arrayVMfast = arrayVM.GetMatrixArray(); | |
1480 | Double_t *sumChargeDensityFast=sumChargeDensity.GetMatrixArray(); | |
c9cbd2f2 | 1481 | |
d9ef0909 | 1482 | if (0){ |
1483 | // slow implementation | |
1484 | for ( Int_t i = ione ; i < rows-1 ; i+=ione ) { | |
1485 | for ( Int_t j = jone ; j < columns-1 ; j+=jone ) { | |
1486 | ||
1487 | arrayV(i,j) = ( coef2[i] * arrayV(i-ione,j) | |
1488 | + tempratioZ * ( arrayV(i,j-jone) + arrayV(i,j+jone) ) | |
1489 | - overRelaxcoef5[i] * arrayV(i,j) | |
1490 | + coef1[i] * arrayV(i+ione,j) | |
1491 | + coef3[i] * ( signplus*arrayVP(i,j) + signminus*arrayVM(i,j) ) | |
1492 | + sumChargeDensity(i,j) | |
1493 | ) * overRelaxcoef4[i] ; | |
1494 | // Note: over-relax the solution at each step. This speeds up the convergance. | |
1495 | } | |
1496 | } | |
1497 | }else{ | |
1498 | for ( Int_t i = ione ; i < rows-1 ; i+=ione ) { | |
1499 | Double_t *arrayVfastI = &(arrayVfast[i*columns]); | |
1500 | Double_t *arrayVPfastI = &(arrayVPfast[i*columns]); | |
1501 | Double_t *arrayVMfastI = &(arrayVMfast[i*columns]); | |
1502 | Double_t *sumChargeDensityFastI=&(sumChargeDensityFast[i*columns]); | |
1503 | for ( Int_t j = jone ; j < columns-1 ; j+=jone ) { | |
1504 | Double_t resSlow,resFast; | |
1505 | // resSlow = ( coef2[i] * arrayV(i-ione,j) | |
1506 | // + tempratioZ * ( arrayV(i,j-jone) + arrayV(i,j+jone) ) | |
1507 | // - overRelaxcoef5[i] * arrayV(i,j) | |
1508 | // + coef1[i] * arrayV(i+ione,j) | |
1509 | // + coef3[i] * ( signplus*arrayVP(i,j) + signminus*arrayVM(i,j) ) | |
1510 | // + sumChargeDensity(i,j) | |
1511 | // ) * overRelaxcoef4[i] ; | |
1512 | resFast = ( coef2[i] * arrayVfastI[j-columns*ione] | |
1513 | + tempratioZ * ( arrayVfastI[j-jone] + arrayVfastI[j+jone] ) | |
1514 | - overRelaxcoef5[i] * arrayVfastI[j] | |
1515 | + coef1[i] * arrayVfastI[j+columns*ione] | |
1516 | + coef3[i] * ( signplus* arrayVPfastI[j] + signminus*arrayVMfastI[j]) | |
1517 | + sumChargeDensityFastI[j] | |
1518 | ) * overRelaxcoef4[i] ; | |
1519 | // if (resSlow!=resFast){ | |
1520 | // printf("problem\t%d\t%d\t%f\t%f\t%f\n",i,j,resFast,resSlow,resFast-resSlow); | |
1521 | // } | |
1522 | arrayVfastI[j]=resFast; | |
1523 | // Note: over-relax the solution at each step. This speeds up the convergance. | |
1524 | } | |
c9cbd2f2 | 1525 | } |
1526 | } | |
1527 | ||
1528 | if ( k == iterations ) { // After full solution is achieved, copy low resolution solution into higher res array | |
1529 | for ( Int_t i = ione ; i < rows-1 ; i+=ione ) { | |
1530 | for ( Int_t j = jone ; j < columns-1 ; j+=jone ) { | |
1531 | ||
1532 | if ( ione > 1 ) { | |
1533 | arrayV(i+ione/2,j) = ( arrayV(i+ione,j) + arrayV(i,j) ) / 2 ; | |
1534 | if ( i == ione ) arrayV(i-ione/2,j) = ( arrayV(0,j) + arrayV(ione,j) ) / 2 ; | |
1535 | } | |
1536 | if ( jone > 1 ) { | |
1537 | arrayV(i,j+jone/2) = ( arrayV(i,j+jone) + arrayV(i,j) ) / 2 ; | |
1538 | if ( j == jone ) arrayV(i,j-jone/2) = ( arrayV(i,0) + arrayV(i,jone) ) / 2 ; | |
1539 | } | |
1540 | if ( ione > 1 && jone > 1 ) { | |
1541 | arrayV(i+ione/2,j+jone/2) = ( arrayV(i+ione,j+jone) + arrayV(i,j) ) / 2 ; | |
1542 | if ( i == ione ) arrayV(i-ione/2,j-jone/2) = ( arrayV(0,j-jone) + arrayV(ione,j) ) / 2 ; | |
1543 | if ( j == jone ) arrayV(i-ione/2,j-jone/2) = ( arrayV(i-ione,0) + arrayV(i,jone) ) / 2 ; | |
1544 | // Note that this leaves a point at the upper left and lower right corners uninitialized. Not a big deal. | |
1545 | } | |
1546 | } | |
1547 | } | |
1548 | } | |
1549 | ||
1550 | } | |
1551 | } | |
1552 | ||
1553 | ione = ione / 2 ; if ( ione < 1 ) ione = 1 ; | |
1554 | jone = jone / 2 ; if ( jone < 1 ) jone = 1 ; | |
1555 | ||
1556 | } | |
1557 | ||
1558 | //Differentiate V(r) and solve for E(r) using special equations for the first and last row | |
1559 | //Integrate E(r)/E(z) from point of origin to pad plane | |
d9ef0909 | 1560 | AliSysInfo::AddStamp("CalcField", 100,0,0); |
c9cbd2f2 | 1561 | |
1562 | for ( Int_t m = 0 ; m < phislices ; m++ ) { | |
1563 | TMatrixD& arrayV = *arrayofArrayV[m] ; | |
1564 | TMatrixD& eroverEz = *arrayofEroverEz[m] ; | |
1565 | ||
1566 | for ( Int_t j = columns-1 ; j >= 0 ; j-- ) { // Count backwards to facilitate integration over Z | |
1567 | ||
1568 | // Differentiate in R | |
1569 | for ( Int_t i = 1 ; i < rows-1 ; i++ ) arrayE(i,j) = -1 * ( arrayV(i+1,j) - arrayV(i-1,j) ) / (2*gridSizeR) ; | |
1570 | arrayE(0,j) = -1 * ( -0.5*arrayV(2,j) + 2.0*arrayV(1,j) - 1.5*arrayV(0,j) ) / gridSizeR ; | |
1571 | arrayE(rows-1,j) = -1 * ( 1.5*arrayV(rows-1,j) - 2.0*arrayV(rows-2,j) + 0.5*arrayV(rows-3,j) ) / gridSizeR ; | |
1572 | // Integrate over Z | |
1573 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1574 | Int_t index = 1 ; // Simpsons rule if N=odd. If N!=odd then add extra point by trapezoidal rule. | |
1575 | eroverEz(i,j) = 0.0 ; | |
1576 | for ( Int_t k = j ; k < columns ; k++ ) { | |
1577 | ||
1578 | eroverEz(i,j) += index*(gridSizeZ/3.0)*arrayE(i,k)/(-1*ezField) ; | |
1579 | if ( index != 4 ) index = 4; else index = 2 ; | |
1580 | } | |
1581 | if ( index == 4 ) eroverEz(i,j) -= (gridSizeZ/3.0)*arrayE(i,columns-1)/ (-1*ezField) ; | |
1582 | if ( index == 2 ) eroverEz(i,j) += | |
1583 | (gridSizeZ/3.0)*(0.5*arrayE(i,columns-2)-2.5*arrayE(i,columns-1))/(-1*ezField) ; | |
1584 | if ( j == columns-2 ) eroverEz(i,j) = | |
1585 | (gridSizeZ/3.0)*(1.5*arrayE(i,columns-2)+1.5*arrayE(i,columns-1))/(-1*ezField) ; | |
1586 | if ( j == columns-1 ) eroverEz(i,j) = 0.0 ; | |
1587 | } | |
1588 | } | |
1589 | // if ( m == 0 ) { TCanvas* c1 = new TCanvas("erOverEz","erOverEz",50,50,840,600) ; c1 -> cd() ; | |
1590 | // eroverEz.Draw("surf") ; } // JT test | |
1591 | } | |
d9ef0909 | 1592 | AliSysInfo::AddStamp("IntegrateEr", 120,0,0); |
c9cbd2f2 | 1593 | |
1594 | //Differentiate V(r) and solve for E(phi) | |
1595 | //Integrate E(phi)/E(z) from point of origin to pad plane | |
1596 | ||
1597 | for ( Int_t m = 0 ; m < phislices ; m++ ) { | |
1598 | ||
1599 | mplus = m + 1; signplus = 1 ; | |
1600 | mminus = m - 1 ; signminus = 1 ; | |
1601 | if (symmetry==1) { // Reflection symmetry in phi (e.g. symmetry at sector boundaries, or half sectors, etc.) | |
1602 | if ( mplus > phislices-1 ) mplus = phislices - 2 ; | |
1603 | if ( mminus < 0 ) mminus = 1 ; | |
1604 | } | |
1605 | else if (symmetry==-1) { // Anti-symmetry in phi | |
1606 | if ( mplus > phislices-1 ) { mplus = phislices - 2 ; signplus = -1 ; } | |
1607 | if ( mminus < 0 ) { mminus = 1 ; signminus = -1 ; } | |
1608 | } | |
1609 | else { // No Symmetries in phi, no boundaries, the calculations is continuous across all phi | |
1610 | if ( mplus > phislices-1 ) mplus = m + 1 - phislices ; | |
1611 | if ( mminus < 0 ) mminus = m - 1 + phislices ; | |
1612 | } | |
1613 | TMatrixD &arrayVP = *arrayofArrayV[mplus] ; | |
1614 | TMatrixD &arrayVM = *arrayofArrayV[mminus] ; | |
1615 | TMatrixD &ePhioverEz = *arrayofEPhioverEz[m] ; | |
1616 | for ( Int_t j = columns-1 ; j >= 0 ; j-- ) { // Count backwards to facilitate integration over Z | |
1617 | // Differentiate in Phi | |
1618 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1619 | Float_t radius = fgkIFCRadius + i*gridSizeR ; | |
1620 | arrayE(i,j) = -1 * (signplus * arrayVP(i,j) - signminus * arrayVM(i,j) ) / (2*radius*gridSizePhi) ; | |
1621 | } | |
1622 | // Integrate over Z | |
1623 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1624 | Int_t index = 1 ; // Simpsons rule if N=odd. If N!=odd then add extra point by trapezoidal rule. | |
1625 | ePhioverEz(i,j) = 0.0 ; | |
1626 | for ( Int_t k = j ; k < columns ; k++ ) { | |
1627 | ||
1628 | ePhioverEz(i,j) += index*(gridSizeZ/3.0)*arrayE(i,k)/(-1*ezField) ; | |
1629 | if ( index != 4 ) index = 4; else index = 2 ; | |
1630 | } | |
1631 | if ( index == 4 ) ePhioverEz(i,j) -= (gridSizeZ/3.0)*arrayE(i,columns-1)/ (-1*ezField) ; | |
1632 | if ( index == 2 ) ePhioverEz(i,j) += | |
1633 | (gridSizeZ/3.0)*(0.5*arrayE(i,columns-2)-2.5*arrayE(i,columns-1))/(-1*ezField) ; | |
1634 | if ( j == columns-2 ) ePhioverEz(i,j) = | |
1635 | (gridSizeZ/3.0)*(1.5*arrayE(i,columns-2)+1.5*arrayE(i,columns-1))/(-1*ezField) ; | |
1636 | if ( j == columns-1 ) ePhioverEz(i,j) = 0.0 ; | |
1637 | } | |
1638 | } | |
1639 | // if ( m == 5 ) { TCanvas* c2 = new TCanvas("arrayE","arrayE",50,50,840,600) ; c2 -> cd() ; | |
1640 | // arrayE.Draw("surf") ; } // JT test | |
1641 | } | |
d9ef0909 | 1642 | AliSysInfo::AddStamp("IntegrateEphi", 130,0,0); |
c9cbd2f2 | 1643 | |
1644 | ||
1645 | // Differentiate V(r) and solve for E(z) using special equations for the first and last row | |
1646 | // Integrate (E(z)-Ezstd) from point of origin to pad plane | |
1647 | ||
1648 | for ( Int_t m = 0 ; m < phislices ; m++ ) { | |
1649 | TMatrixD& arrayV = *arrayofArrayV[m] ; | |
1650 | TMatrixD& deltaEz = *arrayofDeltaEz[m] ; | |
1651 | ||
1652 | // Differentiate V(z) and solve for E(z) using special equations for the first and last columns | |
1653 | for ( Int_t i = 0 ; i < rows ; i++) { | |
1654 | for ( Int_t j = 1 ; j < columns-1 ; j++ ) arrayE(i,j) = -1 * ( arrayV(i,j+1) - arrayV(i,j-1) ) / (2*gridSizeZ) ; | |
1655 | arrayE(i,0) = -1 * ( -0.5*arrayV(i,2) + 2.0*arrayV(i,1) - 1.5*arrayV(i,0) ) / gridSizeZ ; | |
1656 | arrayE(i,columns-1) = -1 * ( 1.5*arrayV(i,columns-1) - 2.0*arrayV(i,columns-2) + 0.5*arrayV(i,columns-3) ) / gridSizeZ ; | |
1657 | } | |
1658 | ||
1659 | for ( Int_t j = columns-1 ; j >= 0 ; j-- ) { // Count backwards to facilitate integration over Z | |
1660 | // Integrate over Z | |
1661 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1662 | Int_t index = 1 ; // Simpsons rule if N=odd. If N!=odd then add extra point by trapezoidal rule. | |
1663 | deltaEz(i,j) = 0.0 ; | |
1664 | for ( Int_t k = j ; k < columns ; k++ ) { | |
1665 | deltaEz(i,j) += index*(gridSizeZ/3.0)*arrayE(i,k) ; | |
1666 | if ( index != 4 ) index = 4; else index = 2 ; | |
1667 | } | |
1668 | if ( index == 4 ) deltaEz(i,j) -= (gridSizeZ/3.0)*arrayE(i,columns-1) ; | |
1669 | if ( index == 2 ) deltaEz(i,j) += | |
1670 | (gridSizeZ/3.0)*(0.5*arrayE(i,columns-2)-2.5*arrayE(i,columns-1)) ; | |
1671 | if ( j == columns-2 ) deltaEz(i,j) = | |
1672 | (gridSizeZ/3.0)*(1.5*arrayE(i,columns-2)+1.5*arrayE(i,columns-1)) ; | |
1673 | if ( j == columns-1 ) deltaEz(i,j) = 0.0 ; | |
1674 | } | |
1675 | } | |
d9ef0909 | 1676 | |
c9cbd2f2 | 1677 | // if ( m == 0 ) { TCanvas* c1 = new TCanvas("erOverEz","erOverEz",50,50,840,600) ; c1 -> cd() ; |
1678 | // eroverEz.Draw("surf") ; } // JT test | |
1679 | ||
1680 | // calculate z distortion from the integrated Delta Ez residuals | |
1681 | // and include the aquivalence (Volt to cm) of the ROC shift !! | |
1682 | ||
1683 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
1684 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1685 | ||
1686 | // Scale the Ez distortions with the drift velocity pertubation -> delivers cm | |
1687 | deltaEz(i,j) = deltaEz(i,j)*fgkdvdE; | |
1688 | ||
1689 | // ROC Potential in cm aquivalent | |
1690 | Double_t dzROCShift = arrayV(i, columns -1)/ezField; | |
1691 | if ( rocDisplacement ) deltaEz(i,j) = deltaEz(i,j) + dzROCShift; // add the ROC misaligment | |
1692 | ||
1693 | } | |
1694 | } | |
1695 | ||
d9ef0909 | 1696 | } // end loop over phi |
1697 | AliSysInfo::AddStamp("IntegrateEz", 140,0,0); | |
c9cbd2f2 | 1698 | |
1699 | ||
1700 | for ( Int_t k = 0 ; k < phislices ; k++ ) | |
1701 | { | |
1702 | arrayofSumChargeDensities[k]->Delete() ; | |
1703 | } | |
1704 | ||
1705 | ||
1706 | ||
1707 | arrayE.Clear(); | |
1708 | } | |
1b923461 | 1709 | |
1710 | ||
710bda39 | 1711 | Int_t AliTPCCorrection::IsPowerOfTwo(Int_t i) const { |
1b923461 | 1712 | // |
1713 | // Helperfunction: Check if integer is a power of 2 | |
1714 | // | |
1715 | Int_t j = 0; | |
1716 | while( i > 0 ) { j += (i&1) ; i = (i>>1) ; } | |
1717 | if ( j == 1 ) return(1) ; // True | |
1718 | return(0) ; // False | |
1719 | } | |
1720 | ||
cf5b0aa0 | 1721 | |
b1f0a2a5 | 1722 | AliExternalTrackParam * AliTPCCorrection::FitDistortedTrack(AliExternalTrackParam & trackIn, Double_t refX, Int_t dir, TTreeSRedirector * const pcstream){ |
cf5b0aa0 | 1723 | // |
1724 | // Fit the track parameters - without and with distortion | |
1725 | // 1. Space points in the TPC are simulated along the trajectory | |
1726 | // 2. Space points distorted | |
1727 | // 3. Fits the non distorted and distroted track to the reference plane at refX | |
1728 | // 4. For visualization and debugging purposes the space points and tracks can be stored in the tree - using the TTreeSRedirector functionality | |
1729 | // | |
1730 | // trackIn - input track parameters | |
1731 | // refX - reference X to fit the track | |
1732 | // dir - direction - out=1 or in=-1 | |
1733 | // pcstream - debug streamer to check the results | |
1734 | // | |
cad404e1 | 1735 | // see AliExternalTrackParam.h documentation: |
1736 | // track1.fP[0] - local y (rphi) | |
1737 | // track1.fP[1] - z | |
1738 | // track1.fP[2] - sinus of local inclination angle | |
1739 | // track1.fP[3] - tangent of deep angle | |
1740 | // track1.fP[4] - 1/pt | |
1b923461 | 1741 | |
cf5b0aa0 | 1742 | AliTPCROC * roc = AliTPCROC::Instance(); |
1743 | const Int_t npoints0=roc->GetNRows(0)+roc->GetNRows(36); | |
1744 | const Double_t kRTPC0 =roc->GetPadRowRadii(0,0); | |
1745 | const Double_t kRTPC1 =roc->GetPadRowRadii(36,roc->GetNRows(36)-1); | |
cf5b0aa0 | 1746 | const Double_t kMaxSnp = 0.85; |
1747 | const Double_t kSigmaY=0.1; | |
1748 | const Double_t kSigmaZ=0.1; | |
ca58ed4e | 1749 | const Double_t kMaxR=500; |
1750 | const Double_t kMaxZ=500; | |
46e89793 | 1751 | |
cfe2c39a | 1752 | const Double_t kMaxZ0=220; |
1753 | const Double_t kZcut=3; | |
cf5b0aa0 | 1754 | const Double_t kMass = TDatabasePDG::Instance()->GetParticle("pi+")->Mass(); |
ca58ed4e | 1755 | Int_t npoints1=0; |
1756 | Int_t npoints2=0; | |
cf5b0aa0 | 1757 | |
be67055b | 1758 | AliExternalTrackParam track(trackIn); // |
cf5b0aa0 | 1759 | // generate points |
1760 | AliTrackPointArray pointArray0(npoints0); | |
1761 | AliTrackPointArray pointArray1(npoints0); | |
1762 | Double_t xyz[3]; | |
cfe2c39a | 1763 | if (!AliTrackerBase::PropagateTrackTo(&track,kRTPC0,kMass,5,kTRUE,kMaxSnp)) return 0; |
cf5b0aa0 | 1764 | // |
1765 | // simulate the track | |
1766 | Int_t npoints=0; | |
1767 | Float_t covPoint[6]={0,0,0, kSigmaY*kSigmaY,0,kSigmaZ*kSigmaZ}; //covariance at the local frame | |
1768 | for (Double_t radius=kRTPC0; radius<kRTPC1; radius++){ | |
cfe2c39a | 1769 | if (!AliTrackerBase::PropagateTrackTo(&track,radius,kMass,5,kTRUE,kMaxSnp)) return 0; |
cf5b0aa0 | 1770 | track.GetXYZ(xyz); |
cfe2c39a | 1771 | xyz[0]+=gRandom->Gaus(0,0.000005); |
1772 | xyz[1]+=gRandom->Gaus(0,0.000005); | |
1773 | xyz[2]+=gRandom->Gaus(0,0.000005); | |
1774 | if (TMath::Abs(track.GetZ())>kMaxZ0) continue; | |
46e89793 | 1775 | if (TMath::Abs(track.GetX())<kRTPC0) continue; |
1776 | if (TMath::Abs(track.GetX())>kRTPC1) continue; | |
cf5b0aa0 | 1777 | AliTrackPoint pIn0; // space point |
1778 | AliTrackPoint pIn1; | |
ffab0c37 | 1779 | Int_t sector= (xyz[2]>0)? 0:18; |
cf5b0aa0 | 1780 | pointArray0.GetPoint(pIn0,npoints); |
1781 | pointArray1.GetPoint(pIn1,npoints); | |
1782 | Double_t alpha = TMath::ATan2(xyz[1],xyz[0]); | |
1783 | Float_t distPoint[3]={xyz[0],xyz[1],xyz[2]}; | |
ffab0c37 | 1784 | DistortPoint(distPoint, sector); |
cf5b0aa0 | 1785 | pIn0.SetXYZ(xyz[0], xyz[1],xyz[2]); |
1786 | pIn1.SetXYZ(distPoint[0], distPoint[1],distPoint[2]); | |
1787 | // | |
1788 | track.Rotate(alpha); | |
1789 | AliTrackPoint prot0 = pIn0.Rotate(alpha); // rotate to the local frame - non distoted point | |
1790 | AliTrackPoint prot1 = pIn1.Rotate(alpha); // rotate to the local frame - distorted point | |
1791 | prot0.SetXYZ(prot0.GetX(),prot0.GetY(), prot0.GetZ(),covPoint); | |
1792 | prot1.SetXYZ(prot1.GetX(),prot1.GetY(), prot1.GetZ(),covPoint); | |
1793 | pIn0=prot0.Rotate(-alpha); // rotate back to global frame | |
1794 | pIn1=prot1.Rotate(-alpha); // rotate back to global frame | |
1795 | pointArray0.AddPoint(npoints, &pIn0); | |
1796 | pointArray1.AddPoint(npoints, &pIn1); | |
1797 | npoints++; | |
1798 | if (npoints>=npoints0) break; | |
1799 | } | |
cfe2c39a | 1800 | if (npoints<npoints0/4.) return 0; |
cf5b0aa0 | 1801 | // |
1802 | // refit track | |
1803 | // | |
1804 | AliExternalTrackParam *track0=0; | |
1805 | AliExternalTrackParam *track1=0; | |
1806 | AliTrackPoint point1,point2,point3; | |
1807 | if (dir==1) { //make seed inner | |
1808 | pointArray0.GetPoint(point1,1); | |
cfe2c39a | 1809 | pointArray0.GetPoint(point2,11); |
1810 | pointArray0.GetPoint(point3,21); | |
cf5b0aa0 | 1811 | } |
1812 | if (dir==-1){ //make seed outer | |
cfe2c39a | 1813 | pointArray0.GetPoint(point1,npoints-21); |
1814 | pointArray0.GetPoint(point2,npoints-11); | |
cf5b0aa0 | 1815 | pointArray0.GetPoint(point3,npoints-1); |
46e89793 | 1816 | } |
1817 | if ((TMath::Abs(point1.GetX()-point3.GetX())+TMath::Abs(point1.GetY()-point3.GetY()))<10){ | |
1818 | printf("fit points not properly initialized\n"); | |
1819 | return 0; | |
1820 | } | |
cf5b0aa0 | 1821 | track0 = AliTrackerBase::MakeSeed(point1, point2, point3); |
1822 | track1 = AliTrackerBase::MakeSeed(point1, point2, point3); | |
cfe2c39a | 1823 | track0->ResetCovariance(10); |
1824 | track1->ResetCovariance(10); | |
1825 | if (TMath::Abs(AliTrackerBase::GetBz())<0.01){ | |
1826 | ((Double_t*)track0->GetParameter())[4]= trackIn.GetParameter()[4]; | |
1827 | ((Double_t*)track1->GetParameter())[4]= trackIn.GetParameter()[4]; | |
1828 | } | |
cf5b0aa0 | 1829 | for (Int_t jpoint=0; jpoint<npoints; jpoint++){ |
8b63d99c | 1830 | Int_t ipoint= (dir>0) ? jpoint: npoints-1-jpoint; |
cf5b0aa0 | 1831 | // |
1832 | AliTrackPoint pIn0; | |
1833 | AliTrackPoint pIn1; | |
1834 | pointArray0.GetPoint(pIn0,ipoint); | |
1835 | pointArray1.GetPoint(pIn1,ipoint); | |
1836 | AliTrackPoint prot0 = pIn0.Rotate(track0->GetAlpha()); // rotate to the local frame - non distoted point | |
1837 | AliTrackPoint prot1 = pIn1.Rotate(track1->GetAlpha()); // rotate to the local frame - distorted point | |
46e89793 | 1838 | if (TMath::Abs(prot0.GetX())<kRTPC0) continue; |
1839 | if (TMath::Abs(prot0.GetX())>kRTPC1) continue; | |
cf5b0aa0 | 1840 | // |
cfe2c39a | 1841 | if (!AliTrackerBase::PropagateTrackTo(track0,prot0.GetX(),kMass,5,kFALSE,kMaxSnp)) break; |
1842 | if (!AliTrackerBase::PropagateTrackTo(track1,prot0.GetX(),kMass,5,kFALSE,kMaxSnp)) break; | |
ca58ed4e | 1843 | if (TMath::Abs(track0->GetZ())>kMaxZ) break; |
1844 | if (TMath::Abs(track0->GetX())>kMaxR) break; | |
1845 | if (TMath::Abs(track1->GetZ())>kMaxZ) break; | |
1846 | if (TMath::Abs(track1->GetX())>kMaxR) break; | |
cfe2c39a | 1847 | if (dir>0 && track1->GetX()>refX) continue; |
1848 | if (dir<0 && track1->GetX()<refX) continue; | |
1849 | if (TMath::Abs(track1->GetZ())<kZcut)continue; | |
8b63d99c | 1850 | track.GetXYZ(xyz); // distorted track also propagated to the same reference radius |
cf5b0aa0 | 1851 | // |
1852 | Double_t pointPos[2]={0,0}; | |
1853 | Double_t pointCov[3]={0,0,0}; | |
1854 | pointPos[0]=prot0.GetY();//local y | |
1855 | pointPos[1]=prot0.GetZ();//local z | |
1856 | pointCov[0]=prot0.GetCov()[3];//simay^2 | |
1857 | pointCov[1]=prot0.GetCov()[4];//sigmayz | |
1858 | pointCov[2]=prot0.GetCov()[5];//sigmaz^2 | |
ca58ed4e | 1859 | if (!track0->Update(pointPos,pointCov)) break; |
cf5b0aa0 | 1860 | // |
8b63d99c | 1861 | Double_t deltaX=prot1.GetX()-prot0.GetX(); // delta X |
1862 | Double_t deltaYX=deltaX*TMath::Tan(TMath::ASin(track1->GetSnp())); // deltaY due delta X | |
1863 | Double_t deltaZX=deltaX*track1->GetTgl(); // deltaZ due delta X | |
1864 | ||
0b736a46 | 1865 | pointPos[0]=prot1.GetY()-deltaYX;//local y is sign correct? should be minus |
1866 | pointPos[1]=prot1.GetZ()-deltaZX;//local z is sign correct? should be minus | |
cf5b0aa0 | 1867 | pointCov[0]=prot1.GetCov()[3];//simay^2 |
1868 | pointCov[1]=prot1.GetCov()[4];//sigmayz | |
1869 | pointCov[2]=prot1.GetCov()[5];//sigmaz^2 | |
ca58ed4e | 1870 | if (!track1->Update(pointPos,pointCov)) break; |
1871 | npoints1++; | |
1872 | npoints2++; | |
cf5b0aa0 | 1873 | } |
cfe2c39a | 1874 | if (npoints2<npoints/4.) return 0; |
1875 | AliTrackerBase::PropagateTrackTo(track0,refX,kMass,5.,kTRUE,kMaxSnp); | |
1876 | AliTrackerBase::PropagateTrackTo(track0,refX,kMass,1.,kTRUE,kMaxSnp); | |
cf5b0aa0 | 1877 | track1->Rotate(track0->GetAlpha()); |
cfe2c39a | 1878 | AliTrackerBase::PropagateTrackTo(track1,track0->GetX(),kMass,5.,kFALSE,kMaxSnp); |
cf5b0aa0 | 1879 | |
cad404e1 | 1880 | if (pcstream) (*pcstream)<<Form("fitDistort%s",GetName())<< |
cf5b0aa0 | 1881 | "point0.="<<&pointArray0<< // points |
1882 | "point1.="<<&pointArray1<< // distorted points | |
1883 | "trackIn.="<<&track<< // original track | |
1884 | "track0.="<<track0<< // fitted track | |
1885 | "track1.="<<track1<< // fitted distorted track | |
1886 | "\n"; | |
be67055b | 1887 | new(&trackIn) AliExternalTrackParam(*track0); |
cf5b0aa0 | 1888 | delete track0; |
1889 | return track1; | |
1890 | } | |
1891 | ||
1892 | ||
ffab0c37 | 1893 | |
1894 | ||
1895 | ||
1896 | TTree* AliTPCCorrection::CreateDistortionTree(Double_t step){ | |
1897 | // | |
1898 | // create the distortion tree on a mesh with granularity given by step | |
1899 | // return the tree with distortions at given position | |
1900 | // Map is created on the mesh with given step size | |
1901 | // | |
1902 | TTreeSRedirector *pcstream = new TTreeSRedirector(Form("correction%s.root",GetName())); | |
1903 | Float_t xyz[3]; | |
1904 | for (Double_t x= -250; x<250; x+=step){ | |
1905 | for (Double_t y= -250; y<250; y+=step){ | |
1906 | Double_t r = TMath::Sqrt(x*x+y*y); | |
1907 | if (r<80) continue; | |
1908 | if (r>250) continue; | |
1909 | for (Double_t z= -250; z<250; z+=step){ | |
1910 | Int_t roc=(z>0)?0:18; | |
1911 | xyz[0]=x; | |
1912 | xyz[1]=y; | |
1913 | xyz[2]=z; | |
1914 | Double_t phi = TMath::ATan2(y,x); | |
1915 | DistortPoint(xyz,roc); | |
1916 | Double_t r1 = TMath::Sqrt(xyz[0]*xyz[0]+xyz[1]*xyz[1]); | |
1917 | Double_t phi1 = TMath::ATan2(xyz[1],xyz[0]); | |
1918 | if ((phi1-phi)>TMath::Pi()) phi1-=TMath::Pi(); | |
1919 | if ((phi1-phi)<-TMath::Pi()) phi1+=TMath::Pi(); | |
1920 | Double_t dx = xyz[0]-x; | |
1921 | Double_t dy = xyz[1]-y; | |
1922 | Double_t dz = xyz[2]-z; | |
1923 | Double_t dr=r1-r; | |
1924 | Double_t drphi=(phi1-phi)*r; | |
1925 | (*pcstream)<<"distortion"<< | |
1926 | "x="<<x<< // original position | |
1927 | "y="<<y<< | |
1928 | "z="<<z<< | |
1929 | "r="<<r<< | |
1930 | "phi="<<phi<< | |
1931 | "x1="<<xyz[0]<< // distorted position | |
1932 | "y1="<<xyz[1]<< | |
1933 | "z1="<<xyz[2]<< | |
1934 | "r1="<<r1<< | |
1935 | "phi1="<<phi1<< | |
1936 | // | |
1937 | "dx="<<dx<< // delta position | |
1938 | "dy="<<dy<< | |
1939 | "dz="<<dz<< | |
1940 | "dr="<<dr<< | |
1941 | "drphi="<<drphi<< | |
1942 | "\n"; | |
1943 | } | |
1944 | } | |
1945 | } | |
1946 | delete pcstream; | |
1947 | TFile f(Form("correction%s.root",GetName())); | |
1948 | TTree * tree = (TTree*)f.Get("distortion"); | |
1949 | TTree * tree2= tree->CopyTree("1"); | |
1950 | tree2->SetName(Form("dist%s",GetName())); | |
1951 | tree2->SetDirectory(0); | |
1952 | delete tree; | |
1953 | return tree2; | |
1954 | } | |
1955 | ||
1956 | ||
1957 | ||
be67055b | 1958 | |
46e89793 | 1959 | void AliTPCCorrection::MakeTrackDistortionTree(TTree *tinput, Int_t dtype, Int_t ptype, const TObjArray * corrArray, Int_t step, Int_t offset, Bool_t debug ){ |
be67055b | 1960 | // |
1961 | // Make a fit tree: | |
1962 | // For each partial correction (specified in array) and given track topology (phi, theta, snp, refX) | |
1963 | // calculates partial distortions | |
1964 | // Partial distortion is stored in the resulting tree | |
1965 | // Output is storred in the file distortion_<dettype>_<partype>.root | |
1966 | // Partial distortion is stored with the name given by correction name | |
1967 | // | |
1968 | // | |
1969 | // Parameters of function: | |
1970 | // input - input tree | |
cfe2c39a | 1971 | // dtype - distortion type 0 - ITSTPC, 1 -TPCTRD, 2 - TPCvertex , 3 - TPC-TOF, 4 - TPCTPC track crossing |
be67055b | 1972 | // ppype - parameter type |
1973 | // corrArray - array with partial corrections | |
1974 | // step - skipe entries - if 1 all entries processed - it is slow | |
1975 | // debug 0 if debug on also space points dumped - it is slow | |
c9cbd2f2 | 1976 | |
b322e06a | 1977 | const Double_t kMaxSnp = 0.85; |
cfe2c39a | 1978 | const Double_t kcutSnp=0.25; |
1979 | const Double_t kcutTheta=1.; | |
1980 | const Double_t kRadiusTPC=85; | |
1981 | // AliTPCROC *tpcRoc =AliTPCROC::Instance(); | |
1982 | // | |
b322e06a | 1983 | const Double_t kMass = TDatabasePDG::Instance()->GetParticle("pi+")->Mass(); |
1984 | // const Double_t kB2C=-0.299792458e-3; | |
46e89793 | 1985 | const Int_t kMinEntries=20; |
cfe2c39a | 1986 | Double_t phi,theta, snp, mean,rms, entries,sector,dsec; |
46e89793 | 1987 | Float_t refX; |
1988 | Int_t run; | |
1989 | tinput->SetBranchAddress("run",&run); | |
be67055b | 1990 | tinput->SetBranchAddress("theta",&theta); |
1991 | tinput->SetBranchAddress("phi", &phi); | |
1992 | tinput->SetBranchAddress("snp",&snp); | |
1993 | tinput->SetBranchAddress("mean",&mean); | |
1994 | tinput->SetBranchAddress("rms",&rms); | |
1995 | tinput->SetBranchAddress("entries",&entries); | |
cfe2c39a | 1996 | tinput->SetBranchAddress("sector",§or); |
1997 | tinput->SetBranchAddress("dsec",&dsec); | |
1998 | tinput->SetBranchAddress("refX",&refX); | |
46e89793 | 1999 | TTreeSRedirector *pcstream = new TTreeSRedirector(Form("distortion%d_%d_%d.root",dtype,ptype,offset)); |
be67055b | 2000 | // |
2001 | Int_t nentries=tinput->GetEntries(); | |
2002 | Int_t ncorr=corrArray->GetEntries(); | |
7f4cb119 | 2003 | Double_t corrections[100]={0}; // |
be67055b | 2004 | Double_t tPar[5]; |
2005 | Double_t cov[15]={0,0,0,0,0,0,0,0,0,0,0,0,0,0}; | |
be67055b | 2006 | Int_t dir=0; |
cfe2c39a | 2007 | if (dtype==5 || dtype==6) dtype=4; |
2008 | if (dtype==0) { dir=-1;} | |
2009 | if (dtype==1) { dir=1;} | |
2010 | if (dtype==2) { dir=-1;} | |
2011 | if (dtype==3) { dir=1;} | |
2012 | if (dtype==4) { dir=-1;} | |
be67055b | 2013 | // |
46e89793 | 2014 | for (Int_t ientry=offset; ientry<nentries; ientry+=step){ |
be67055b | 2015 | tinput->GetEntry(ientry); |
7f4cb119 | 2016 | if (TMath::Abs(snp)>kMaxSnp) continue; |
be67055b | 2017 | tPar[0]=0; |
2018 | tPar[1]=theta*refX; | |
cfe2c39a | 2019 | if (dtype==2) tPar[1]=theta*kRadiusTPC; |
be67055b | 2020 | tPar[2]=snp; |
2021 | tPar[3]=theta; | |
4486a91f | 2022 | tPar[4]=(gRandom->Rndm()-0.5)*0.02; // should be calculated - non equal to 0 |
cfe2c39a | 2023 | if (dtype==4){ |
2024 | // tracks crossing CE | |
2025 | tPar[1]=0; // track at the CE | |
2026 | //if (TMath::Abs(theta) <0.05) continue; // deep cross | |
2027 | } | |
2028 | ||
2029 | if (TMath::Abs(snp) >kcutSnp) continue; | |
2030 | if (TMath::Abs(theta) >kcutTheta) continue; | |
2031 | printf("%f\t%f\t%f\t%f\t%f\t%f\n",entries, sector,theta,snp, mean,rms); | |
8b63d99c | 2032 | Double_t bz=AliTrackerBase::GetBz(); |
cfe2c39a | 2033 | if (dtype !=4) { //exclude TPC - for TPC mainly non primary tracks |
2034 | if (dtype!=2 && TMath::Abs(bz)>0.1 ) tPar[4]=snp/(refX*bz*kB2C*2); | |
2035 | ||
2036 | if (dtype==2 && TMath::Abs(bz)>0.1 ) { | |
2037 | tPar[4]=snp/(kRadiusTPC*bz*kB2C*2);// | |
2038 | // snp at the TPC inner radius in case the vertex match used | |
2039 | } | |
2040 | } | |
2041 | // | |
4486a91f | 2042 | tPar[4]+=(gRandom->Rndm()-0.5)*0.02; |
7f4cb119 | 2043 | AliExternalTrackParam track(refX,phi,tPar,cov); |
2044 | Double_t xyz[3]; | |
2045 | track.GetXYZ(xyz); | |
2046 | Int_t id=0; | |
46e89793 | 2047 | Double_t pt=1./tPar[4]; |
7f4cb119 | 2048 | Double_t dRrec=0; // dummy value - needed for points - e.g for laser |
cfe2c39a | 2049 | //if (ptype==4 &&bz<0) mean*=-1; // interpret as curvature -- COMMENTED out - in lookup signed 1/pt used |
46e89793 | 2050 | Double_t refXD=refX; |
be67055b | 2051 | (*pcstream)<<"fit"<< |
46e89793 | 2052 | "run="<<run<< // run number |
8b63d99c | 2053 | "bz="<<bz<< // magnetic filed used |
be67055b | 2054 | "dtype="<<dtype<< // detector match type |
2055 | "ptype="<<ptype<< // parameter type | |
2056 | "theta="<<theta<< // theta | |
2057 | "phi="<<phi<< // phi | |
2058 | "snp="<<snp<< // snp | |
2059 | "mean="<<mean<< // mean dist value | |
2060 | "rms="<<rms<< // rms | |
cfe2c39a | 2061 | "sector="<<sector<< |
2062 | "dsec="<<dsec<< | |
46e89793 | 2063 | "refX="<<refXD<< // referece X as double |
7f4cb119 | 2064 | "gx="<<xyz[0]<< // global position at reference |
2065 | "gy="<<xyz[1]<< // global position at reference | |
2066 | "gz="<<xyz[2]<< // global position at reference | |
2067 | "dRrec="<<dRrec<< // delta Radius in reconstruction | |
46e89793 | 2068 | "pt="<<pt<< // pt |
7f4cb119 | 2069 | "id="<<id<< // track id |
be67055b | 2070 | "entries="<<entries;// number of entries in bin |
2071 | // | |
cfe2c39a | 2072 | Bool_t isOK=kTRUE; |
46e89793 | 2073 | if (entries<kMinEntries) isOK=kFALSE; |
2074 | // | |
cfe2c39a | 2075 | if (dtype!=4) for (Int_t icorr=0; icorr<ncorr; icorr++) { |
be67055b | 2076 | AliTPCCorrection *corr = (AliTPCCorrection*)corrArray->At(icorr); |
2077 | corrections[icorr]=0; | |
2078 | if (entries>kMinEntries){ | |
2079 | AliExternalTrackParam trackIn(refX,phi,tPar,cov); | |
2080 | AliExternalTrackParam *trackOut = 0; | |
2081 | if (debug) trackOut=corr->FitDistortedTrack(trackIn, refX, dir,pcstream); | |
2082 | if (!debug) trackOut=corr->FitDistortedTrack(trackIn, refX, dir,0); | |
cfe2c39a | 2083 | if (dtype==0) {dir= -1;} |
2084 | if (dtype==1) {dir= 1;} | |
2085 | if (dtype==2) {dir= -1;} | |
2086 | if (dtype==3) {dir= 1;} | |
b1f0a2a5 | 2087 | // |
7f4cb119 | 2088 | if (trackOut){ |
cfe2c39a | 2089 | if (!AliTrackerBase::PropagateTrackTo(&trackIn,refX,kMass,5,kTRUE,kMaxSnp)) isOK=kFALSE; |
2090 | if (!trackOut->Rotate(trackIn.GetAlpha())) isOK=kFALSE; | |
2091 | if (!AliTrackerBase::PropagateTrackTo(trackOut,trackIn.GetX(),kMass,5,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2092 | // trackOut->PropagateTo(trackIn.GetX(),AliTrackerBase::GetBz()); | |
2093 | // | |
7f4cb119 | 2094 | corrections[icorr]= trackOut->GetParameter()[ptype]-trackIn.GetParameter()[ptype]; |
2095 | delete trackOut; | |
2096 | }else{ | |
2097 | corrections[icorr]=0; | |
cfe2c39a | 2098 | isOK=kFALSE; |
7f4cb119 | 2099 | } |
cfe2c39a | 2100 | //if (ptype==4 &&bz<0) corrections[icorr]*=-1; // interpret as curvature - commented out |
be67055b | 2101 | } |
2102 | (*pcstream)<<"fit"<< | |
46e89793 | 2103 | Form("%s=",corr->GetName())<<corrections[icorr]; // dump correction value |
be67055b | 2104 | } |
cfe2c39a | 2105 | |
2106 | if (dtype==4) for (Int_t icorr=0; icorr<ncorr; icorr++) { | |
2107 | // | |
2108 | // special case of the TPC tracks crossing the CE | |
2109 | // | |
2110 | AliTPCCorrection *corr = (AliTPCCorrection*)corrArray->At(icorr); | |
2111 | corrections[icorr]=0; | |
2112 | if (entries>kMinEntries){ | |
46e89793 | 2113 | AliExternalTrackParam trackIn0(refX,phi,tPar,cov); //Outer - direction to vertex |
2114 | AliExternalTrackParam trackIn1(refX,phi,tPar,cov); //Inner - direction magnet | |
cfe2c39a | 2115 | AliExternalTrackParam *trackOut0 = 0; |
2116 | AliExternalTrackParam *trackOut1 = 0; | |
2117 | // | |
2118 | if (debug) trackOut0=corr->FitDistortedTrack(trackIn0, refX, dir,pcstream); | |
2119 | if (!debug) trackOut0=corr->FitDistortedTrack(trackIn0, refX, dir,0); | |
2120 | if (debug) trackOut1=corr->FitDistortedTrack(trackIn1, refX, -dir,pcstream); | |
2121 | if (!debug) trackOut1=corr->FitDistortedTrack(trackIn1, refX, -dir,0); | |
2122 | // | |
2123 | if (trackOut0 && trackOut1){ | |
2124 | if (!AliTrackerBase::PropagateTrackTo(&trackIn0,refX,kMass,5,kTRUE,kMaxSnp)) isOK=kFALSE; | |
2125 | if (!AliTrackerBase::PropagateTrackTo(&trackIn0,refX,kMass,1,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2126 | if (!trackOut0->Rotate(trackIn0.GetAlpha())) isOK=kFALSE; | |
2127 | if (!AliTrackerBase::PropagateTrackTo(trackOut0,trackIn0.GetX(),kMass,5,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2128 | // | |
2129 | if (!AliTrackerBase::PropagateTrackTo(&trackIn1,refX,kMass,5,kTRUE,kMaxSnp)) isOK=kFALSE; | |
2130 | if (!trackIn1.Rotate(trackIn0.GetAlpha())) isOK=kFALSE; | |
2131 | if (!AliTrackerBase::PropagateTrackTo(&trackIn1,trackIn0.GetX(),kMass,1,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2132 | if (!trackOut1->Rotate(trackIn1.GetAlpha())) isOK=kFALSE; | |
2133 | if (!AliTrackerBase::PropagateTrackTo(trackOut1,trackIn1.GetX(),kMass,5,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2134 | // | |
2135 | corrections[icorr] = (trackOut0->GetParameter()[ptype]-trackIn0.GetParameter()[ptype]); | |
2136 | corrections[icorr]-= (trackOut1->GetParameter()[ptype]-trackIn1.GetParameter()[ptype]); | |
46e89793 | 2137 | if (isOK) |
2138 | if ((TMath::Abs(trackOut0->GetX()-trackOut1->GetX())>0.1)|| | |
2139 | (TMath::Abs(trackOut0->GetX()-trackIn1.GetX())>0.1)|| | |
2140 | (TMath::Abs(trackOut0->GetAlpha()-trackOut1->GetAlpha())>0.00001)|| | |
2141 | (TMath::Abs(trackOut0->GetAlpha()-trackIn1.GetAlpha())>0.00001)|| | |
2142 | (TMath::Abs(trackIn0.GetTgl()-trackIn1.GetTgl())>0.0001)|| | |
2143 | (TMath::Abs(trackIn0.GetSnp()-trackIn1.GetSnp())>0.0001) | |
2144 | ){ | |
2145 | isOK=kFALSE; | |
2146 | } | |
cfe2c39a | 2147 | delete trackOut0; |
46e89793 | 2148 | delete trackOut1; |
cfe2c39a | 2149 | }else{ |
2150 | corrections[icorr]=0; | |
2151 | isOK=kFALSE; | |
2152 | } | |
2153 | // | |
2154 | //if (ptype==4 &&bz<0) corrections[icorr]*=-1; // interpret as curvature - commented out no in lookup | |
2155 | } | |
cfe2c39a | 2156 | (*pcstream)<<"fit"<< |
46e89793 | 2157 | Form("%s=",corr->GetName())<<corrections[icorr]; // dump correction value |
cfe2c39a | 2158 | } |
2159 | // | |
2160 | (*pcstream)<<"fit"<<"isOK="<<isOK<<"\n"; | |
be67055b | 2161 | } |
cfe2c39a | 2162 | |
2163 | ||
be67055b | 2164 | delete pcstream; |
2165 | } | |
2166 | ||
2167 | ||
2168 | ||
46e89793 | 2169 | void AliTPCCorrection::MakeSectorDistortionTree(TTree *tinput, Int_t dtype, Int_t ptype, const TObjArray * corrArray, Int_t step, Int_t offset, Bool_t debug ){ |
2170 | // | |
2171 | // Make a fit tree: | |
2172 | // For each partial correction (specified in array) and given track topology (phi, theta, snp, refX) | |
2173 | // calculates partial distortions | |
2174 | // Partial distortion is stored in the resulting tree | |
2175 | // Output is storred in the file distortion_<dettype>_<partype>.root | |
2176 | // Partial distortion is stored with the name given by correction name | |
2177 | // | |
2178 | // | |
2179 | // Parameters of function: | |
2180 | // input - input tree | |
2181 | // dtype - distortion type 10 - IROC-OROC | |
2182 | // ppype - parameter type | |
2183 | // corrArray - array with partial corrections | |
2184 | // step - skipe entries - if 1 all entries processed - it is slow | |
2185 | // debug 0 if debug on also space points dumped - it is slow | |
2186 | ||
2187 | const Double_t kMaxSnp = 0.8; | |
2188 | const Int_t kMinEntries=200; | |
2189 | // AliTPCROC *tpcRoc =AliTPCROC::Instance(); | |
2190 | // | |
2191 | const Double_t kMass = TDatabasePDG::Instance()->GetParticle("pi+")->Mass(); | |
2192 | // const Double_t kB2C=-0.299792458e-3; | |
2193 | Double_t phi,theta, snp, mean,rms, entries,sector,dsec,globalZ; | |
2194 | Int_t isec1, isec0; | |
2195 | Double_t refXD; | |
2196 | Float_t refX; | |
2197 | Int_t run; | |
2198 | tinput->SetBranchAddress("run",&run); | |
2199 | tinput->SetBranchAddress("theta",&theta); | |
2200 | tinput->SetBranchAddress("phi", &phi); | |
2201 | tinput->SetBranchAddress("snp",&snp); | |
2202 | tinput->SetBranchAddress("mean",&mean); | |
2203 | tinput->SetBranchAddress("rms",&rms); | |
2204 | tinput->SetBranchAddress("entries",&entries); | |
2205 | tinput->SetBranchAddress("sector",§or); | |
2206 | tinput->SetBranchAddress("dsec",&dsec); | |
2207 | tinput->SetBranchAddress("refX",&refXD); | |
2208 | tinput->SetBranchAddress("z",&globalZ); | |
2209 | tinput->SetBranchAddress("isec0",&isec0); | |
2210 | tinput->SetBranchAddress("isec1",&isec1); | |
2211 | TTreeSRedirector *pcstream = new TTreeSRedirector(Form("distortionSector%d_%d_%d.root",dtype,ptype,offset)); | |
2212 | // | |
2213 | Int_t nentries=tinput->GetEntries(); | |
2214 | Int_t ncorr=corrArray->GetEntries(); | |
2215 | Double_t corrections[100]={0}; // | |
2216 | Double_t tPar[5]; | |
2217 | Double_t cov[15]={0,0,0,0,0,0,0,0,0,0,0,0,0,0}; | |
2218 | Int_t dir=0; | |
2219 | // | |
2220 | for (Int_t ientry=offset; ientry<nentries; ientry+=step){ | |
2221 | tinput->GetEntry(ientry); | |
2222 | refX=refXD; | |
2223 | Int_t id=-1; | |
2224 | if (TMath::Abs(TMath::Abs(isec0%18)-TMath::Abs(isec1%18))==0) id=1; // IROC-OROC - opposite side | |
2225 | if (TMath::Abs(TMath::Abs(isec0%36)-TMath::Abs(isec1%36))==0) id=2; // IROC-OROC - same side | |
2226 | if (dtype==10 && id==-1) continue; | |
2227 | // | |
2228 | dir=-1; | |
2229 | tPar[0]=0; | |
2230 | tPar[1]=globalZ; | |
2231 | tPar[2]=snp; | |
2232 | tPar[3]=theta; | |
2233 | tPar[4]=(gRandom->Rndm()-0.1)*0.2; // | |
2234 | Double_t pt=1./tPar[4]; | |
2235 | // | |
2236 | printf("%f\t%f\t%f\t%f\t%f\t%f\n",entries, sector,theta,snp, mean,rms); | |
2237 | Double_t bz=AliTrackerBase::GetBz(); | |
2238 | AliExternalTrackParam track(refX,phi,tPar,cov); | |
2239 | Double_t xyz[3],xyzIn[3],xyzOut[3]; | |
2240 | track.GetXYZ(xyz); | |
2241 | track.GetXYZAt(85,bz,xyzIn); | |
2242 | track.GetXYZAt(245,bz,xyzOut); | |
2243 | Double_t phiIn = TMath::ATan2(xyzIn[1],xyzIn[0]); | |
2244 | Double_t phiOut = TMath::ATan2(xyzOut[1],xyzOut[0]); | |
2245 | Double_t phiRef = TMath::ATan2(xyz[1],xyz[0]); | |
2246 | Int_t sectorRef = TMath::Nint(9.*phiRef/TMath::Pi()-0.5); | |
2247 | Int_t sectorIn = TMath::Nint(9.*phiIn/TMath::Pi()-0.5); | |
2248 | Int_t sectorOut = TMath::Nint(9.*phiOut/TMath::Pi()-0.5); | |
2249 | // | |
2250 | Bool_t isOK=kTRUE; | |
2251 | if (sectorIn!=sectorOut) isOK=kFALSE; // requironment - cluster in the same sector | |
2252 | if (sectorIn!=sectorRef) isOK=kFALSE; // requironment - cluster in the same sector | |
2253 | if (entries<kMinEntries/(1+TMath::Abs(globalZ/100.))) isOK=kFALSE; // requironment - minimal amount of tracks in bin | |
2254 | // Do downscale | |
2255 | if (TMath::Abs(theta)>1) isOK=kFALSE; | |
2256 | // | |
2257 | Double_t dRrec=0; // dummy value - needed for points - e.g for laser | |
2258 | // | |
2259 | (*pcstream)<<"fit"<< | |
2260 | "run="<<run<< //run | |
2261 | "bz="<<bz<< // magnetic filed used | |
2262 | "dtype="<<dtype<< // detector match type | |
2263 | "ptype="<<ptype<< // parameter type | |
2264 | "theta="<<theta<< // theta | |
2265 | "phi="<<phi<< // phi | |
2266 | "snp="<<snp<< // snp | |
2267 | "mean="<<mean<< // mean dist value | |
2268 | "rms="<<rms<< // rms | |
2269 | "sector="<<sector<< | |
2270 | "dsec="<<dsec<< | |
2271 | "refX="<<refXD<< // referece X | |
2272 | "gx="<<xyz[0]<< // global position at reference | |
2273 | "gy="<<xyz[1]<< // global position at reference | |
2274 | "gz="<<xyz[2]<< // global position at reference | |
2275 | "dRrec="<<dRrec<< // delta Radius in reconstruction | |
2276 | "pt="<<pt<< //pt | |
2277 | "id="<<id<< // track id | |
2278 | "entries="<<entries;// number of entries in bin | |
2279 | // | |
2280 | AliExternalTrackParam *trackOut0 = 0; | |
2281 | AliExternalTrackParam *trackOut1 = 0; | |
2282 | AliExternalTrackParam *ptrackIn0 = 0; | |
2283 | AliExternalTrackParam *ptrackIn1 = 0; | |
2284 | ||
2285 | for (Int_t icorr=0; icorr<ncorr; icorr++) { | |
2286 | // | |
2287 | // special case of the TPC tracks crossing the CE | |
2288 | // | |
2289 | AliTPCCorrection *corr = (AliTPCCorrection*)corrArray->At(icorr); | |
2290 | corrections[icorr]=0; | |
2291 | if (entries>kMinEntries &&isOK){ | |
2292 | AliExternalTrackParam trackIn0(refX,phi,tPar,cov); | |
2293 | AliExternalTrackParam trackIn1(refX,phi,tPar,cov); | |
2294 | ptrackIn1=&trackIn0; | |
2295 | ptrackIn0=&trackIn1; | |
2296 | // | |
2297 | if (debug) trackOut0=corr->FitDistortedTrack(trackIn0, refX, dir,pcstream); | |
2298 | if (!debug) trackOut0=corr->FitDistortedTrack(trackIn0, refX, dir,0); | |
2299 | if (debug) trackOut1=corr->FitDistortedTrack(trackIn1, refX, -dir,pcstream); | |
2300 | if (!debug) trackOut1=corr->FitDistortedTrack(trackIn1, refX, -dir,0); | |
2301 | // | |
2302 | if (trackOut0 && trackOut1){ | |
2303 | // | |
2304 | if (!AliTrackerBase::PropagateTrackTo(&trackIn0,refX,kMass,1,kTRUE,kMaxSnp)) isOK=kFALSE; | |
2305 | if (!AliTrackerBase::PropagateTrackTo(&trackIn0,refX,kMass,1,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2306 | // rotate all tracks to the same frame | |
2307 | if (!trackOut0->Rotate(trackIn0.GetAlpha())) isOK=kFALSE; | |
2308 | if (!trackIn1.Rotate(trackIn0.GetAlpha())) isOK=kFALSE; | |
2309 | if (!trackOut1->Rotate(trackIn0.GetAlpha())) isOK=kFALSE; | |
2310 | // | |
2311 | if (!AliTrackerBase::PropagateTrackTo(trackOut0,refX,kMass,1,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2312 | if (!AliTrackerBase::PropagateTrackTo(&trackIn1,refX,kMass,1,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2313 | if (!AliTrackerBase::PropagateTrackTo(trackOut1,refX,kMass,1,kFALSE,kMaxSnp)) isOK=kFALSE; | |
2314 | // | |
2315 | corrections[icorr] = (trackOut0->GetParameter()[ptype]-trackIn0.GetParameter()[ptype]); | |
2316 | corrections[icorr]-= (trackOut1->GetParameter()[ptype]-trackIn1.GetParameter()[ptype]); | |
2317 | (*pcstream)<<"fitDebug"<< // just to debug the correction | |
2318 | "mean="<<mean<< | |
2319 | "pIn0.="<<ptrackIn0<< | |
2320 | "pIn1.="<<ptrackIn1<< | |
2321 | "pOut0.="<<trackOut0<< | |
2322 | "pOut1.="<<trackOut1<< | |
2323 | "refX="<<refXD<< | |
2324 | "\n"; | |
2325 | delete trackOut0; | |
2326 | delete trackOut1; | |
2327 | }else{ | |
2328 | corrections[icorr]=0; | |
2329 | isOK=kFALSE; | |
2330 | } | |
2331 | } | |
2332 | (*pcstream)<<"fit"<< | |
2333 | Form("%s=",corr->GetName())<<corrections[icorr]; // dump correction value | |
2334 | } | |
2335 | // | |
2336 | (*pcstream)<<"fit"<<"isOK="<<isOK<<"\n"; | |
2337 | } | |
2338 | delete pcstream; | |
2339 | } | |
2340 | ||
2341 | ||
2342 | ||
2343 | void AliTPCCorrection::MakeLaserDistortionTreeOld(TTree* tree, TObjArray *corrArray, Int_t itype){ | |
7f4cb119 | 2344 | // |
2345 | // Make a laser fit tree for global minimization | |
2346 | // | |
2347 | const Double_t cutErrY=0.1; | |
2348 | const Double_t cutErrZ=0.1; | |
2349 | const Double_t kEpsilon=0.00000001; | |
46e89793 | 2350 | const Double_t kMaxDist=1.; // max distance - space correction |
2351 | const Double_t kMaxRMS=0.05; // max distance -between point and local mean | |
7f4cb119 | 2352 | TVectorD *vecdY=0; |
2353 | TVectorD *vecdZ=0; | |
2354 | TVectorD *veceY=0; | |
2355 | TVectorD *veceZ=0; | |
2356 | AliTPCLaserTrack *ltr=0; | |
2357 | AliTPCLaserTrack::LoadTracks(); | |
2358 | tree->SetBranchAddress("dY.",&vecdY); | |
2359 | tree->SetBranchAddress("dZ.",&vecdZ); | |
2360 | tree->SetBranchAddress("eY.",&veceY); | |
2361 | tree->SetBranchAddress("eZ.",&veceZ); | |
2362 | tree->SetBranchAddress("LTr.",<r); | |
2363 | Int_t entries= tree->GetEntries(); | |
cfe2c39a | 2364 | TTreeSRedirector *pcstream= new TTreeSRedirector("distortionLaser_0.root"); |
7f4cb119 | 2365 | Double_t bz=AliTrackerBase::GetBz(); |
2366 | // | |
2367 | ||
2368 | for (Int_t ientry=0; ientry<entries; ientry++){ | |
2369 | tree->GetEntry(ientry); | |
2370 | if (!ltr->GetVecGX()){ | |
2371 | ltr->UpdatePoints(); | |
2372 | } | |
2373 | TVectorD * delta= (itype==0)? vecdY:vecdZ; | |
2374 | TVectorD * err= (itype==0)? veceY:veceZ; | |
46e89793 | 2375 | TLinearFitter fitter(2,"pol1"); |
2376 | for (Int_t iter=0; iter<2; iter++){ | |
2377 | Double_t kfit0=0, kfit1=0; | |
2378 | Int_t npoints=fitter.GetNpoints(); | |
2379 | if (npoints>80){ | |
2380 | fitter.Eval(); | |
2381 | kfit0=fitter.GetParameter(0); | |
2382 | kfit1=fitter.GetParameter(1); | |
2383 | } | |
2384 | for (Int_t irow=0; irow<159; irow++){ | |
2385 | Bool_t isOK=kTRUE; | |
2386 | Int_t isOKF=0; | |
2387 | Int_t nentries = 1000; | |
2388 | if (veceY->GetMatrixArray()[irow]>cutErrY||veceZ->GetMatrixArray()[irow]>cutErrZ) nentries=0; | |
2389 | if (veceY->GetMatrixArray()[irow]<kEpsilon||veceZ->GetMatrixArray()[irow]<kEpsilon) nentries=0; | |
2390 | Int_t dtype=5; | |
2391 | Double_t array[10]; | |
2392 | Int_t first3=TMath::Max(irow-3,0); | |
2393 | Int_t last3 =TMath::Min(irow+3,159); | |
2394 | Int_t counter=0; | |
2395 | if ((*ltr->GetVecSec())[irow]>=0 && err) { | |
2396 | for (Int_t jrow=first3; jrow<=last3; jrow++){ | |
2397 | if ((*ltr->GetVecSec())[irow]!= (*ltr->GetVecSec())[jrow]) continue; | |
2398 | if ((*err)[jrow]<kEpsilon) continue; | |
2399 | array[counter]=(*delta)[jrow]; | |
2400 | counter++; | |
2401 | } | |
2402 | } | |
2403 | Double_t rms3 = 0; | |
2404 | Double_t mean3 = 0; | |
2405 | if (counter>2){ | |
2406 | rms3 = TMath::RMS(counter,array); | |
2407 | mean3 = TMath::Mean(counter,array); | |
2408 | }else{ | |
2409 | isOK=kFALSE; | |
2410 | } | |
2411 | Double_t phi =(*ltr->GetVecPhi())[irow]; | |
2412 | Double_t theta =ltr->GetTgl(); | |
2413 | Double_t mean=delta->GetMatrixArray()[irow]; | |
2414 | Double_t gx=0,gy=0,gz=0; | |
2415 | Double_t snp = (*ltr->GetVecP2())[irow]; | |
2416 | Double_t dRrec=0; | |
2417 | // Double_t rms = err->GetMatrixArray()[irow]; | |
cfe2c39a | 2418 | // |
46e89793 | 2419 | gx = (*ltr->GetVecGX())[irow]; |
2420 | gy = (*ltr->GetVecGY())[irow]; | |
2421 | gz = (*ltr->GetVecGZ())[irow]; | |
2422 | // | |
2423 | // get delta R used in reconstruction | |
2424 | AliTPCcalibDB* calib=AliTPCcalibDB::Instance(); | |
2425 | AliTPCCorrection * correction = calib->GetTPCComposedCorrection(AliTrackerBase::GetBz()); | |
2426 | // const AliTPCRecoParam * recoParam = calib->GetTransform()->GetCurrentRecoParam(); | |
2427 | //Double_t xyz0[3]={gx,gy,gz}; | |
2428 | Double_t oldR=TMath::Sqrt(gx*gx+gy*gy); | |
2429 | Double_t fphi = TMath::ATan2(gy,gx); | |
2430 | Double_t fsector = 9.*fphi/TMath::Pi(); | |
2431 | if (fsector<0) fsector+=18; | |
2432 | Double_t dsec = fsector-Int_t(fsector)-0.5; | |
2433 | Double_t refX=0; | |
2434 | Int_t id= ltr->GetId(); | |
2435 | Double_t pt=0; | |
2436 | // | |
2437 | if (1 && oldR>1) { | |
2438 | Float_t xyz1[3]={gx,gy,gz}; | |
2439 | Int_t sector=(gz>0)?0:18; | |
2440 | correction->CorrectPoint(xyz1, sector); | |
2441 | refX=TMath::Sqrt(xyz1[0]*xyz1[0]+xyz1[1]*xyz1[1]); | |
2442 | dRrec=oldR-refX; | |
2443 | } | |
2444 | if (TMath::Abs(rms3)>kMaxRMS) isOK=kFALSE; | |
2445 | if (TMath::Abs(mean-mean3)>kMaxRMS) isOK=kFALSE; | |
2446 | if (counter<4) isOK=kFALSE; | |
2447 | if (npoints<90) isOK=kFALSE; | |
2448 | if (isOK){ | |
2449 | fitter.AddPoint(&refX,mean); | |
7f4cb119 | 2450 | } |
46e89793 | 2451 | Double_t deltaF=kfit0+kfit1*refX; |
2452 | if (iter==1){ | |
2453 | (*pcstream)<<"fitFull"<< // dumpe also intermediate results | |
2454 | "bz="<<bz<< // magnetic filed used | |
2455 | "dtype="<<dtype<< // detector match type | |
2456 | "ptype="<<itype<< // parameter type | |
2457 | "theta="<<theta<< // theta | |
2458 | "phi="<<phi<< // phi | |
2459 | "snp="<<snp<< // snp | |
2460 | "mean="<<mean3<< // mean dist value | |
2461 | "rms="<<rms3<< // rms | |
2462 | "deltaF="<<deltaF<< | |
2463 | "npoints="<<npoints<< //number of points | |
2464 | "mean3="<<mean3<< // mean dist value | |
2465 | "rms3="<<rms3<< // rms | |
2466 | "counter="<<counter<< | |
2467 | "sector="<<fsector<< | |
2468 | "dsec="<<dsec<< | |
2469 | // | |
2470 | "refX="<<refX<< // reference radius | |
2471 | "gx="<<gx<< // global position | |
2472 | "gy="<<gy<< // global position | |
2473 | "gz="<<gz<< // global position | |
2474 | "dRrec="<<dRrec<< // delta Radius in reconstruction | |
2475 | "id="<<id<< //bundle | |
2476 | "entries="<<nentries<<// number of entries in bin | |
2477 | "\n"; | |
2478 | } | |
2479 | if (iter==1) (*pcstream)<<"fit"<< // dump valus for fit | |
2480 | "bz="<<bz<< // magnetic filed used | |
2481 | "dtype="<<dtype<< // detector match type | |
2482 | "ptype="<<itype<< // parameter type | |
2483 | "theta="<<theta<< // theta | |
2484 | "phi="<<phi<< // phi | |
2485 | "snp="<<snp<< // snp | |
2486 | "mean="<<mean3<< // mean dist value | |
2487 | "rms="<<rms3<< // rms | |
2488 | "sector="<<fsector<< | |
2489 | "dsec="<<dsec<< | |
2490 | // | |
2491 | "refX="<<refX<< // reference radius | |
2492 | "gx="<<gx<< // global position | |
2493 | "gy="<<gy<< // global position | |
2494 | "gz="<<gz<< // global position | |
2495 | "dRrec="<<dRrec<< // delta Radius in reconstruction | |
2496 | "pt="<<pt<< //pt | |
2497 | "id="<<id<< //bundle | |
2498 | "entries="<<nentries;// number of entries in bin | |
2499 | // | |
2500 | // | |
2501 | Double_t ky = TMath::Tan(TMath::ASin(snp)); | |
2502 | Int_t ncorr = corrArray->GetEntries(); | |
2503 | Double_t r0 = TMath::Sqrt(gx*gx+gy*gy); | |
2504 | Double_t phi0 = TMath::ATan2(gy,gx); | |
2505 | Double_t distortions[1000]={0}; | |
2506 | Double_t distortionsR[1000]={0}; | |
2507 | if (iter==1){ | |
2508 | for (Int_t icorr=0; icorr<ncorr; icorr++) { | |
2509 | AliTPCCorrection *corr = (AliTPCCorrection*)corrArray->At(icorr); | |
2510 | Float_t distPoint[3]={gx,gy,gz}; | |
2511 | Int_t sector= (gz>0)? 0:18; | |
2512 | if (r0>80){ | |
2513 | corr->DistortPoint(distPoint, sector); | |
2514 | } | |
2515 | // Double_t value=distPoint[2]-gz; | |
2516 | if (itype==0 && r0>1){ | |
2517 | Double_t r1 = TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
2518 | Double_t phi1 = TMath::ATan2(distPoint[1],distPoint[0]); | |
2519 | Double_t drphi= r0*(phi1-phi0); | |
2520 | Double_t dr = r1-r0; | |
2521 | distortions[icorr] = drphi-ky*dr; | |
2522 | distortionsR[icorr] = dr; | |
2523 | } | |
2524 | if (TMath::Abs(distortions[icorr])>kMaxDist) {isOKF=icorr+1; isOK=kFALSE; } | |
2525 | if (TMath::Abs(distortionsR[icorr])>kMaxDist) {isOKF=icorr+1; isOK=kFALSE;} | |
2526 | (*pcstream)<<"fit"<< | |
2527 | Form("%s=",corr->GetName())<<distortions[icorr]; // dump correction value | |
2528 | } | |
2529 | (*pcstream)<<"fit"<<"isOK="<<isOK<<"\n"; | |
7f4cb119 | 2530 | } |
7f4cb119 | 2531 | } |
7f4cb119 | 2532 | } |
2533 | } | |
2534 | delete pcstream; | |
2535 | } | |
2536 | ||
2537 | ||
be67055b | 2538 | |
97d17739 | 2539 | void AliTPCCorrection::MakeDistortionMap(THnSparse * his0, TTreeSRedirector * const pcstream, const char* hname, Int_t run, Float_t refX, Int_t type, Int_t integ){ |
cfe2c39a | 2540 | // |
2541 | // make a distortion map out ou fthe residual histogram | |
2542 | // Results are written to the debug streamer - pcstream | |
2543 | // Parameters: | |
2544 | // his0 - input (4D) residual histogram | |
2545 | // pcstream - file to write the tree | |
2546 | // run - run number | |
2547 | // refX - track matching reference X | |
2548 | // type - 0- y 1-z,2 -snp, 3-theta, 4=1/pt | |
2549 | // THnSparse axes: | |
2550 | // OBJ: TAxis #Delta #Delta | |
2551 | // OBJ: TAxis tanTheta tan(#Theta) | |
2552 | // OBJ: TAxis phi #phi | |
2553 | // OBJ: TAxis snp snp | |
2554 | ||
2555 | // marian.ivanov@cern.ch | |
2556 | const Int_t kMinEntries=10; | |
2557 | Double_t bz=AliTrackerBase::GetBz(); | |
2558 | Int_t idim[4]={0,1,2,3}; | |
2559 | // | |
2560 | // | |
2561 | // | |
2562 | Int_t nbins3=his0->GetAxis(3)->GetNbins(); | |
2563 | Int_t first3=his0->GetAxis(3)->GetFirst(); | |
2564 | Int_t last3 =his0->GetAxis(3)->GetLast(); | |
2565 | // | |
2566 | for (Int_t ibin3=first3; ibin3<last3; ibin3+=1){ // axis 3 - local angle | |
97d17739 | 2567 | his0->GetAxis(3)->SetRange(TMath::Max(ibin3-integ,1),TMath::Min(ibin3+integ,nbins3)); |
cfe2c39a | 2568 | Double_t x3= his0->GetAxis(3)->GetBinCenter(ibin3); |
2569 | THnSparse * his3= his0->Projection(3,idim); //projected histogram according selection 3 | |
2570 | // | |
2571 | Int_t nbins2 = his3->GetAxis(2)->GetNbins(); | |
2572 | Int_t first2 = his3->GetAxis(2)->GetFirst(); | |
2573 | Int_t last2 = his3->GetAxis(2)->GetLast(); | |
2574 | // | |
2575 | for (Int_t ibin2=first2; ibin2<last2; ibin2+=1){ // axis 2 - phi | |
97d17739 | 2576 | his3->GetAxis(2)->SetRange(TMath::Max(ibin2-integ,1),TMath::Min(ibin2+integ,nbins2)); |
cfe2c39a | 2577 | Double_t x2= his3->GetAxis(2)->GetBinCenter(ibin2); |
2578 | THnSparse * his2= his3->Projection(2,idim); //projected histogram according selection 2 | |
2579 | Int_t nbins1 = his2->GetAxis(1)->GetNbins(); | |
2580 | Int_t first1 = his2->GetAxis(1)->GetFirst(); | |
2581 | Int_t last1 = his2->GetAxis(1)->GetLast(); | |
2582 | for (Int_t ibin1=first1; ibin1<last1; ibin1++){ //axis 1 - theta | |
2583 | // | |
2584 | Double_t x1= his2->GetAxis(1)->GetBinCenter(ibin1); | |
2585 | his2->GetAxis(1)->SetRange(TMath::Max(ibin1-1,1),TMath::Min(ibin1+1,nbins1)); | |
2586 | if (TMath::Abs(x1)<0.1){ | |
2587 | if (x1<0) his2->GetAxis(1)->SetRange(TMath::Max(ibin1-1,1),TMath::Min(ibin1,nbins1)); | |
2588 | if (x1>0) his2->GetAxis(1)->SetRange(TMath::Max(ibin1,1),TMath::Min(ibin1+1,nbins1)); | |
2589 | } | |
2590 | if (TMath::Abs(x1)<0.06){ | |
2591 | his2->GetAxis(1)->SetRange(TMath::Max(ibin1,1),TMath::Min(ibin1,nbins1)); | |
2592 | } | |
2593 | TH1 * hisDelta = his2->Projection(0); | |
2594 | // | |
2595 | Double_t entries = hisDelta->GetEntries(); | |
2596 | Double_t mean=0, rms=0; | |
2597 | if (entries>kMinEntries){ | |
2598 | mean = hisDelta->GetMean(); | |
2599 | rms = hisDelta->GetRMS(); | |
2600 | } | |
2601 | Double_t sector = 9.*x2/TMath::Pi(); | |
2602 | if (sector<0) sector+=18; | |
2603 | Double_t dsec = sector-Int_t(sector)-0.5; | |
2604 | Double_t z=refX*x1; | |
2605 | (*pcstream)<<hname<< | |
2606 | "run="<<run<< | |
2607 | "bz="<<bz<< | |
2608 | "theta="<<x1<< | |
2609 | "phi="<<x2<< | |
2610 | "z="<<z<< // dummy z | |
2611 | "snp="<<x3<< | |
2612 | "entries="<<entries<< | |
2613 | "mean="<<mean<< | |
2614 | "rms="<<rms<< | |
2615 | "refX="<<refX<< // track matching refernce plane | |
2616 | "type="<<type<< // | |
2617 | "sector="<<sector<< | |
2618 | "dsec="<<dsec<< | |
2619 | "\n"; | |
2620 | delete hisDelta; | |
02cd5ade | 2621 | //printf("%f\t%f\t%f\t%f\t%f\n",x3,x2,x1, entries,mean); |
cfe2c39a | 2622 | } |
2623 | delete his2; | |
2624 | } | |
2625 | delete his3; | |
2626 | } | |
2627 | } | |
2628 | ||
2629 | ||
2630 | ||
2631 | ||
2632 | void AliTPCCorrection::MakeDistortionMapCosmic(THnSparse * hisInput, TTreeSRedirector * const pcstream, const char* hname, Int_t run, Float_t refX, Int_t type){ | |
8b63d99c | 2633 | // |
2634 | // make a distortion map out ou fthe residual histogram | |
2635 | // Results are written to the debug streamer - pcstream | |
2636 | // Parameters: | |
2637 | // his0 - input (4D) residual histogram | |
2638 | // pcstream - file to write the tree | |
2639 | // run - run number | |
cfe2c39a | 2640 | // refX - track matching reference X |
2641 | // type - 0- y 1-z,2 -snp, 3-theta, 4=1/pt | |
8b63d99c | 2642 | // marian.ivanov@cern.ch |
cfe2c39a | 2643 | // |
2644 | // Histo axeses | |
2645 | // Collection name='TObjArray', class='TObjArray', size=16 | |
2646 | // 0. OBJ: TAxis #Delta #Delta | |
2647 | // 1. OBJ: TAxis N_{cl} N_{cl} | |
2648 | // 2. OBJ: TAxis dca_{r} (cm) dca_{r} (cm) | |
2649 | // 3. OBJ: TAxis z (cm) z (cm) | |
2650 | // 4. OBJ: TAxis sin(#phi) sin(#phi) | |
2651 | // 5. OBJ: TAxis tan(#theta) tan(#theta) | |
2652 | // 6. OBJ: TAxis 1/pt (1/GeV) 1/pt (1/GeV) | |
2653 | // 7. OBJ: TAxis pt (GeV) pt (GeV) | |
2654 | // 8. OBJ: TAxis alpha alpha | |
2655 | const Int_t kMinEntries=10; | |
2656 | // | |
2657 | // 1. make default selections | |
2658 | // | |
2659 | TH1 * hisDelta=0; | |
2660 | Int_t idim0[4]={0 , 5, 8, 3}; // delta, theta, alpha, z | |
2661 | hisInput->GetAxis(1)->SetRangeUser(110,190); //long tracks | |
2662 | hisInput->GetAxis(2)->SetRangeUser(-10,35); //tracks close to beam pipe | |
2663 | hisInput->GetAxis(4)->SetRangeUser(-0.3,0.3); //small snp at TPC entrance | |
2664 | hisInput->GetAxis(7)->SetRangeUser(3,100); //"high pt tracks" | |
2665 | hisDelta= hisInput->Projection(0); | |
2666 | hisInput->GetAxis(0)->SetRangeUser(-6.*hisDelta->GetRMS(), +6.*hisDelta->GetRMS()); | |
2667 | delete hisDelta; | |
2668 | THnSparse *his0= hisInput->Projection(4,idim0); | |
2669 | // | |
2670 | // 2. Get mean in diferent bins | |
2671 | // | |
8b63d99c | 2672 | Int_t nbins1=his0->GetAxis(1)->GetNbins(); |
2673 | Int_t first1=his0->GetAxis(1)->GetFirst(); | |
2674 | Int_t last1 =his0->GetAxis(1)->GetLast(); | |
2675 | // | |
2676 | Double_t bz=AliTrackerBase::GetBz(); | |
cfe2c39a | 2677 | Int_t idim[4]={0,1, 2, 3}; // delta, theta,alpha,z |
2678 | // | |
2679 | for (Int_t ibin1=first1; ibin1<=last1; ibin1++){ //axis 1 - theta | |
2680 | // | |
2681 | Double_t x1= his0->GetAxis(1)->GetBinCenter(ibin1); | |
2682 | his0->GetAxis(1)->SetRange(TMath::Max(ibin1-1,1),TMath::Min(ibin1+1,nbins1)); | |
8b63d99c | 2683 | // |
8b63d99c | 2684 | THnSparse * his1 = his0->Projection(4,idim); // projected histogram according range1 |
2685 | Int_t nbins3 = his1->GetAxis(3)->GetNbins(); | |
2686 | Int_t first3 = his1->GetAxis(3)->GetFirst(); | |
2687 | Int_t last3 = his1->GetAxis(3)->GetLast(); | |
2688 | // | |
cfe2c39a | 2689 | for (Int_t ibin3=first3-1; ibin3<=last3; ibin3+=1){ // axis 3 - z at "vertex" |
8b63d99c | 2690 | his1->GetAxis(3)->SetRange(TMath::Max(ibin3-1,1),TMath::Min(ibin3+1,nbins3)); |
2691 | Double_t x3= his1->GetAxis(3)->GetBinCenter(ibin3); | |
2692 | if (ibin3<first3) { | |
2693 | his1->GetAxis(3)->SetRangeUser(-1,1); | |
2694 | x3=0; | |
2695 | } | |
2696 | THnSparse * his3= his1->Projection(4,idim); //projected histogram according selection 3 | |
2697 | Int_t nbins2 = his3->GetAxis(2)->GetNbins(); | |
2698 | Int_t first2 = his3->GetAxis(2)->GetFirst(); | |
2699 | Int_t last2 = his3->GetAxis(2)->GetLast(); | |
2700 | // | |
cfe2c39a | 2701 | for (Int_t ibin2=first2; ibin2<=last2; ibin2+=1){ |
8b63d99c | 2702 | his3->GetAxis(2)->SetRange(TMath::Max(ibin2-1,1),TMath::Min(ibin2+1,nbins2)); |
2703 | Double_t x2= his3->GetAxis(2)->GetBinCenter(ibin2); | |
cfe2c39a | 2704 | hisDelta = his3->Projection(0); |
8b63d99c | 2705 | // |
2706 | Double_t entries = hisDelta->GetEntries(); | |
2707 | Double_t mean=0, rms=0; | |
2708 | if (entries>kMinEntries){ | |
2709 | mean = hisDelta->GetMean(); | |
2710 | rms = hisDelta->GetRMS(); | |
2711 | } | |
cfe2c39a | 2712 | Double_t sector = 9.*x2/TMath::Pi(); |
2713 | if (sector<0) sector+=18; | |
2714 | Double_t dsec = sector-Int_t(sector)-0.5; | |
2715 | Double_t snp=0; // dummy snp - equal 0 | |
8b63d99c | 2716 | (*pcstream)<<hname<< |
2717 | "run="<<run<< | |
cfe2c39a | 2718 | "bz="<<bz<< // magnetic field |
2719 | "theta="<<x1<< // theta | |
2720 | "phi="<<x2<< // phi (alpha) | |
2721 | "z="<<x3<< // z at "vertex" | |
2722 | "snp="<<snp<< // dummy snp | |
2723 | "entries="<<entries<< // entries in bin | |
2724 | "mean="<<mean<< // mean | |
8b63d99c | 2725 | "rms="<<rms<< |
cfe2c39a | 2726 | "refX="<<refX<< // track matching refernce plane |
2727 | "type="<<type<< // parameter type | |
2728 | "sector="<<sector<< // sector | |
2729 | "dsec="<<dsec<< // dummy delta sector | |
8b63d99c | 2730 | "\n"; |
2731 | delete hisDelta; | |
2732 | printf("%f\t%f\t%f\t%f\t%f\n",x1,x3,x2, entries,mean); | |
2733 | } | |
2734 | delete his3; | |
2735 | } | |
2736 | delete his1; | |
2737 | } | |
cfe2c39a | 2738 | delete his0; |
2739 | } | |
2740 | ||
2741 | ||
2742 | ||
2743 | void AliTPCCorrection::MakeDistortionMapSector(THnSparse * hisInput, TTreeSRedirector * const pcstream, const char* hname, Int_t run, Int_t type){ | |
2744 | // | |
2745 | // make a distortion map out of the residual histogram | |
2746 | // Results are written to the debug streamer - pcstream | |
2747 | // Parameters: | |
2748 | // his0 - input (4D) residual histogram | |
2749 | // pcstream - file to write the tree | |
2750 | // run - run number | |
2751 | // type - 0- y 1-z,2 -snp, 3-theta | |
2752 | // marian.ivanov@cern.ch | |
2753 | ||
2754 | //Collection name='TObjArray', class='TObjArray', size=16 | |
2755 | //0 OBJ: TAxis delta delta | |
2756 | //1 OBJ: TAxis phi phi | |
2757 | //2 OBJ: TAxis localX localX | |
2758 | //3 OBJ: TAxis kY kY | |
2759 | //4 OBJ: TAxis kZ kZ | |
2760 | //5 OBJ: TAxis is1 is1 | |
2761 | //6 OBJ: TAxis is0 is0 | |
2762 | //7. OBJ: TAxis z z | |
2763 | //8. OBJ: TAxis IsPrimary IsPrimary | |
2764 | ||
2765 | const Int_t kMinEntries=10; | |
2766 | THnSparse * hisSector0=0; | |
2767 | TH1 * htemp=0; // histogram to calculate mean value of parameter | |
2768 | Double_t bz=AliTrackerBase::GetBz(); | |
2769 | ||
2770 | // | |
2771 | // Loop over pair of sector: | |
2772 | // isPrim - 8 ==> 8 | |
2773 | // isec0 - 6 ==> 7 | |
2774 | // isec1 - 5 ==> 6 | |
2775 | // refX - 2 ==> 5 | |
2776 | // | |
2777 | // phi - 1 ==> 4 | |
2778 | // z - 7 ==> 3 | |
2779 | // snp - 3 ==> 2 | |
2780 | // theta- 4 ==> 1 | |
2781 | // 0 ==> 0; | |
2782 | for (Int_t isec0=0; isec0<72; isec0++){ | |
2783 | Int_t index0[9]={0, 4, 3, 7, 1, 2, 5, 6,8}; //regroup indeces | |
2784 | // | |
2785 | //hisInput->GetAxis(8)->SetRangeUser(-0.1,0.4); // select secondaries only ? - get out later ? | |
2786 | hisInput->GetAxis(6)->SetRangeUser(isec0-0.1,isec0+0.1); | |
2787 | hisSector0=hisInput->Projection(7,index0); | |
2788 | // | |
2789 | // | |
2790 | for (Int_t isec1=isec0+1; isec1<72; isec1++){ | |
2791 | //if (isec1!=isec0+36) continue; | |
2792 | if ( TMath::Abs((isec0%18)-(isec1%18))>1.5 && TMath::Abs((isec0%18)-(isec1%18))<16.5) continue; | |
2793 | printf("Sectors %d\t%d\n",isec1,isec0); | |
2794 | hisSector0->GetAxis(6)->SetRangeUser(isec1-0.1,isec1+0.1); | |
2795 | TH1 * hisX=hisSector0->Projection(5); | |
2796 | Double_t refX= hisX->GetMean(); | |
2797 | delete hisX; | |
2798 | TH1 *hisDelta=hisSector0->Projection(0); | |
2799 | Double_t dmean = hisDelta->GetMean(); | |
2800 | Double_t drms = hisDelta->GetRMS(); | |
2801 | hisSector0->GetAxis(0)->SetRangeUser(dmean-5.*drms, dmean+5.*drms); | |
2802 | delete hisDelta; | |
2803 | // | |
2804 | // 1. make default selections | |
2805 | // | |
2806 | Int_t idim0[5]={0 , 1, 2, 3, 4}; // {delta, theta, snp, z, phi } | |
2807 | THnSparse *hisSector1= hisSector0->Projection(5,idim0); | |
2808 | // | |
2809 | // 2. Get mean in diferent bins | |
2810 | // | |
2811 | Int_t idim[5]={0, 1, 2, 3, 4}; // {delta, theta-1,snp-2 ,z-3, phi-4} | |
2812 | // | |
2813 | // Int_t nbinsPhi=hisSector1->GetAxis(4)->GetNbins(); | |
2814 | Int_t firstPhi=hisSector1->GetAxis(4)->GetFirst(); | |
2815 | Int_t lastPhi =hisSector1->GetAxis(4)->GetLast(); | |
2816 | // | |
2817 | for (Int_t ibinPhi=firstPhi; ibinPhi<=lastPhi; ibinPhi+=1){ //axis 4 - phi | |
2818 | // | |
2819 | // Phi loop | |
2820 | // | |
2821 | Double_t xPhi= hisSector1->GetAxis(4)->GetBinCenter(ibinPhi); | |
2822 | Double_t psec = (9*xPhi/TMath::Pi()); | |
2823 | if (psec<0) psec+=18; | |
2824 | Bool_t isOK0=kFALSE; | |
2825 | Bool_t isOK1=kFALSE; | |
2826 | if (TMath::Abs(psec-isec0%18-0.5)<1. || TMath::Abs(psec-isec0%18-17.5)<1.) isOK0=kTRUE; | |
2827 | if (TMath::Abs(psec-isec1%18-0.5)<1. || TMath::Abs(psec-isec1%18-17.5)<1.) isOK1=kTRUE; | |
2828 | if (!isOK0) continue; | |
2829 | if (!isOK1) continue; | |
2830 | // | |
2831 | hisSector1->GetAxis(4)->SetRange(TMath::Max(ibinPhi-2,firstPhi),TMath::Min(ibinPhi+2,lastPhi)); | |
2832 | if (isec1!=isec0+36) { | |
2833 | hisSector1->GetAxis(4)->SetRange(TMath::Max(ibinPhi-3,firstPhi),TMath::Min(ibinPhi+3,lastPhi)); | |
2834 | } | |
2835 | // | |
2836 | htemp = hisSector1->Projection(4); | |
2837 | xPhi=htemp->GetMean(); | |
2838 | delete htemp; | |
2839 | THnSparse * hisPhi = hisSector1->Projection(4,idim); | |
2840 | //Int_t nbinsZ = hisPhi->GetAxis(3)->GetNbins(); | |
2841 | Int_t firstZ = hisPhi->GetAxis(3)->GetFirst(); | |
2842 | Int_t lastZ = hisPhi->GetAxis(3)->GetLast(); | |
2843 | // | |
2844 | for (Int_t ibinZ=firstZ; ibinZ<=lastZ; ibinZ+=1){ // axis 3 - z | |
2845 | // | |
2846 | // Z loop | |
2847 | // | |
2848 | hisPhi->GetAxis(3)->SetRange(TMath::Max(ibinZ,firstZ),TMath::Min(ibinZ,lastZ)); | |
2849 | if (isec1!=isec0+36) { | |
2850 | hisPhi->GetAxis(3)->SetRange(TMath::Max(ibinZ-1,firstZ),TMath::Min(ibinZ-1,lastZ)); | |
2851 | } | |
2852 | htemp = hisPhi->Projection(3); | |
2853 | Double_t xZ= htemp->GetMean(); | |
2854 | delete htemp; | |
2855 | THnSparse * hisZ= hisPhi->Projection(3,idim); | |
2856 | //projected histogram according selection 3 -z | |
2857 | // | |
2858 | // | |
2859 | //Int_t nbinsSnp = hisZ->GetAxis(2)->GetNbins(); | |
2860 | Int_t firstSnp = hisZ->GetAxis(2)->GetFirst(); | |
2861 | Int_t lastSnp = hisZ->GetAxis(2)->GetLast(); | |
2862 | for (Int_t ibinSnp=firstSnp; ibinSnp<=lastSnp; ibinSnp+=2){ // axis 2 - snp | |
2863 | // | |
2864 | // Snp loop | |
2865 | // | |
2866 | hisZ->GetAxis(2)->SetRange(TMath::Max(ibinSnp-1,firstSnp),TMath::Min(ibinSnp+1,lastSnp)); | |
2867 | if (isec1!=isec0+36) { | |
2868 | hisZ->GetAxis(2)->SetRange(TMath::Max(ibinSnp-2,firstSnp),TMath::Min(ibinSnp+2,lastSnp)); | |
2869 | } | |
2870 | htemp = hisZ->Projection(2); | |
2871 | Double_t xSnp= htemp->GetMean(); | |
2872 | delete htemp; | |
2873 | THnSparse * hisSnp= hisZ->Projection(2,idim); | |
2874 | //projected histogram according selection 2 - snp | |
2875 | ||
2876 | //Int_t nbinsTheta = hisSnp->GetAxis(1)->GetNbins(); | |
2877 | Int_t firstTheta = hisSnp->GetAxis(1)->GetFirst(); | |
2878 | Int_t lastTheta = hisSnp->GetAxis(1)->GetLast(); | |
2879 | // | |
2880 | for (Int_t ibinTheta=firstTheta; ibinTheta<=lastTheta; ibinTheta+=2){ // axis1 theta | |
2881 | ||
2882 | ||
2883 | hisSnp->GetAxis(1)->SetRange(TMath::Max(ibinTheta-2,firstTheta),TMath::Min(ibinTheta+2,lastTheta)); | |
2884 | if (isec1!=isec0+36) { | |
2885 | hisSnp->GetAxis(1)->SetRange(TMath::Max(ibinTheta-3,firstTheta),TMath::Min(ibinTheta+3,lastTheta)); | |
2886 | } | |
2887 | htemp = hisSnp->Projection(1); | |
2888 | Double_t xTheta=htemp->GetMean(); | |
2889 | delete htemp; | |
2890 | hisDelta = hisSnp->Projection(0); | |
2891 | // | |
2892 | Double_t entries = hisDelta->GetEntries(); | |
2893 | Double_t mean=0, rms=0; | |
2894 | if (entries>kMinEntries){ | |
2895 | mean = hisDelta->GetMean(); | |
2896 | rms = hisDelta->GetRMS(); | |
2897 | } | |
2898 | Double_t sector = 9.*xPhi/TMath::Pi(); | |
2899 | if (sector<0) sector+=18; | |
2900 | Double_t dsec = sector-Int_t(sector)-0.5; | |
2901 | Int_t dtype=1; // TPC alignment type | |
2902 | (*pcstream)<<hname<< | |
2903 | "run="<<run<< | |
2904 | "bz="<<bz<< // magnetic field | |
2905 | "ptype="<<type<< // parameter type | |
2906 | "dtype="<<dtype<< // parameter type | |
2907 | "isec0="<<isec0<< // sector 0 | |
2908 | "isec1="<<isec1<< // sector 1 | |
2909 | "sector="<<sector<< // sector as float | |
2910 | "dsec="<<dsec<< // delta sector | |
2911 | // | |
2912 | "theta="<<xTheta<< // theta | |
2913 | "phi="<<xPhi<< // phi (alpha) | |
2914 | "z="<<xZ<< // z | |
2915 | "snp="<<xSnp<< // snp | |
2916 | // | |
2917 | "entries="<<entries<< // entries in bin | |
2918 | "mean="<<mean<< // mean | |
2919 | "rms="<<rms<< // rms | |
2920 | "refX="<<refX<< // track matching reference plane | |
2921 | "\n"; | |
2922 | delete hisDelta; | |
2923 | printf("%d\t%d\t%f\t%f\t%f\t%f\t%f\t%f\n",isec0, isec1, xPhi,xZ,xSnp, xTheta, entries,mean); | |
2924 | // | |
2925 | }//ibinTheta | |
2926 | delete hisSnp; | |
2927 | } //ibinSnp | |
2928 | delete hisZ; | |
2929 | }//ibinZ | |
2930 | delete hisPhi; | |
2931 | }//ibinPhi | |
2932 | delete hisSector1; | |
2933 | }//isec1 | |
2934 | delete hisSector0; | |
2935 | }//isec0 | |
8b63d99c | 2936 | } |
2937 | ||
2938 | ||
2939 | ||
2940 | ||
2941 | ||
cfe2c39a | 2942 | |
2943 | ||
ffab0c37 | 2944 | void AliTPCCorrection::StoreInOCDB(Int_t startRun, Int_t endRun, const char *comment){ |
2945 | // | |
2946 | // Store object in the OCDB | |
2947 | // By default the object is stored in the current directory | |
2948 | // default comment consit of user name and the date | |
2949 | // | |
2950 | TString ocdbStorage=""; | |
2951 | ocdbStorage+="local://"+gSystem->GetFromPipe("pwd")+"/OCDB"; | |
2952 | AliCDBMetaData *metaData= new AliCDBMetaData(); | |
2953 | metaData->SetObjectClassName("AliTPCCorrection"); | |
2954 | metaData->SetResponsible("Marian Ivanov"); | |
2955 | metaData->SetBeamPeriod(1); | |
2956 | metaData->SetAliRootVersion("05-25-01"); //root version | |
2957 | TString userName=gSystem->GetFromPipe("echo $USER"); | |
2958 | TString date=gSystem->GetFromPipe("date"); | |
2959 | ||
2960 | if (!comment) metaData->SetComment(Form("Space point distortion calibration\n User: %s\n Data%s",userName.Data(),date.Data())); | |
2961 | if (comment) metaData->SetComment(comment); | |
2962 | AliCDBId* id1=NULL; | |
2963 | id1=new AliCDBId("TPC/Calib/Correction", startRun, endRun); | |
2964 | AliCDBStorage* gStorage = AliCDBManager::Instance()->GetStorage(ocdbStorage); | |
2965 | gStorage->Put(this, (*id1), metaData); | |
2966 | } | |
2967 | ||
ca58ed4e | 2968 | |
7d85e147 | 2969 | void AliTPCCorrection::FastSimDistortedVertex(Double_t orgVertex[3], Int_t nTracks, AliESDVertex &aV, AliESDVertex &avOrg, AliESDVertex &cV, AliESDVertex &cvOrg, TTreeSRedirector * const pcstream, Double_t etaCuts){ |
c9cbd2f2 | 2970 | // |
2971 | // Fast method to simulate the influence of the given distortion on the vertex reconstruction | |
2972 | // | |
ca58ed4e | 2973 | |
c9cbd2f2 | 2974 | AliMagF* magF= (AliMagF*)TGeoGlobalMagField::Instance()->GetField(); |
2975 | if (!magF) AliError("Magneticd field - not initialized"); | |
2976 | Double_t bz = magF->SolenoidField(); //field in kGauss | |
9f3b99e2 | 2977 | printf("bz: %f\n",bz); |
c9cbd2f2 | 2978 | AliVertexerTracks *vertexer = new AliVertexerTracks(bz); // bz in kGauss |
ca58ed4e | 2979 | |
c9cbd2f2 | 2980 | TObjArray aTrk; // Original Track array of Aside |
2981 | TObjArray daTrk; // Distorted Track array of A side | |
2982 | UShort_t *aId = new UShort_t[nTracks]; // A side Track ID | |
2983 | TObjArray cTrk; | |
2984 | TObjArray dcTrk; | |
2985 | UShort_t *cId = new UShort_t [nTracks]; | |
2986 | Int_t id=0; | |
ca58ed4e | 2987 | Double_t mass = TDatabasePDG::Instance()->GetParticle("pi+")->Mass(); |
7d85e147 | 2988 | TF1 fpt("fpt",Form("x*(1+(sqrt(x*x+%f^2)-%f)/([0]*[1]))^(-[0])",mass,mass),0.4,10); |
ca58ed4e | 2989 | fpt.SetParameters(7.24,0.120); |
2990 | fpt.SetNpx(10000); | |
2991 | for(Int_t nt=0; nt<nTracks; nt++){ | |
2992 | Double_t phi = gRandom->Uniform(0.0, 2*TMath::Pi()); | |
7d85e147 | 2993 | Double_t eta = gRandom->Uniform(-etaCuts, etaCuts); |
c9cbd2f2 | 2994 | Double_t pt = fpt.GetRandom(); // momentum for f1 |
2995 | // printf("phi %lf eta %lf pt %lf\n",phi,eta,pt); | |
ca58ed4e | 2996 | Short_t sign=1; |
2997 | if(gRandom->Rndm() < 0.5){ | |
2998 | sign =1; | |
2999 | }else{ | |
3000 | sign=-1; | |
3001 | } | |
3002 | ||
3003 | Double_t theta = 2*TMath::ATan(TMath::Exp(-eta))-TMath::Pi()/2.; | |
3004 | Double_t pxyz[3]; | |
3005 | pxyz[0]=pt*TMath::Cos(phi); | |
3006 | pxyz[1]=pt*TMath::Sin(phi); | |
3007 | pxyz[2]=pt*TMath::Tan(theta); | |
3008 | Double_t cv[21]={0}; | |
3009 | AliExternalTrackParam *t= new AliExternalTrackParam(orgVertex, pxyz, cv, sign); | |
3010 | ||
3011 | Double_t refX=1.; | |
3012 | Int_t dir=-1; | |
3013 | AliExternalTrackParam *td = FitDistortedTrack(*t, refX, dir, NULL); | |
3014 | if (!td) continue; | |
3015 | if (pcstream) (*pcstream)<<"track"<< | |
3016 | "eta="<<eta<< | |
3017 | "theta="<<theta<< | |
3018 | "tOrig.="<<t<< | |
3019 | "td.="<<td<< | |
3020 | "\n"; | |
7d85e147 | 3021 | if(( eta>0.07 )&&( eta<etaCuts )) { // - log(tan(0.5*theta)), theta = 0.5*pi - ATan(5.0/80.0) |
ca58ed4e | 3022 | if (td){ |
c9cbd2f2 | 3023 | daTrk.AddLast(td); |
3024 | aTrk.AddLast(t); | |
3025 | Int_t nn=aTrk.GetEntriesFast(); | |
3026 | aId[nn]=id; | |
ca58ed4e | 3027 | } |
7d85e147 | 3028 | }else if(( eta<-0.07 )&&( eta>-etaCuts )){ |
ca58ed4e | 3029 | if (td){ |
c9cbd2f2 | 3030 | dcTrk.AddLast(td); |
3031 | cTrk.AddLast(t); | |
3032 | Int_t nn=cTrk.GetEntriesFast(); | |
3033 | cId[nn]=id; | |
ca58ed4e | 3034 | } |
3035 | } | |
c9cbd2f2 | 3036 | id++; |
ca58ed4e | 3037 | }// end of track loop |
3038 | ||
3039 | vertexer->SetTPCMode(); | |
3040 | vertexer->SetConstraintOff(); | |
3041 | ||
c9cbd2f2 | 3042 | aV = *((AliESDVertex*)vertexer->FindPrimaryVertex(&daTrk,aId)); |
3043 | avOrg = *((AliESDVertex*)vertexer->FindPrimaryVertex(&aTrk,aId)); | |
3044 | cV = *((AliESDVertex*)vertexer->FindPrimaryVertex(&dcTrk,cId)); | |
3045 | cvOrg = *((AliESDVertex*)vertexer->FindPrimaryVertex(&cTrk,cId)); | |
ca58ed4e | 3046 | if (pcstream) (*pcstream)<<"vertex"<< |
3047 | "x="<<orgVertex[0]<< | |
3048 | "y="<<orgVertex[1]<< | |
3049 | "z="<<orgVertex[2]<< | |
3050 | "av.="<<&aV<< // distorted vertex A side | |
3051 | "cv.="<<&cV<< // distroted vertex C side | |
3052 | "avO.="<<&avOrg<< // original vertex A side | |
3053 | "cvO.="<<&cvOrg<< | |
3054 | "\n"; | |
c9cbd2f2 | 3055 | delete []aId; |
3056 | delete []cId; | |
ca58ed4e | 3057 | } |
f1817479 | 3058 | |
3059 | void AliTPCCorrection::AddVisualCorrection(AliTPCCorrection* corr, Int_t position){ | |
3060 | // | |
3061 | // make correction available for visualization using | |
3062 | // TFormula, TFX and TTree::Draw | |
3063 | // important in order to check corrections and also compute dervied variables | |
3064 | // e.g correction partial derivatives | |
3065 | // | |
3066 | // NOTE - class is not owner of correction | |
3067 | // | |
cfe2c39a | 3068 | if (!fgVisualCorrection) fgVisualCorrection=new TObjArray(10000); |
3069 | if (position>=fgVisualCorrection->GetEntriesFast()) | |
3070 | fgVisualCorrection->Expand((position+10)*2); | |
f1817479 | 3071 | fgVisualCorrection->AddAt(corr, position); |
3072 | } | |
3073 | ||
3074 | ||
3075 | ||
287fbdfa | 3076 | Double_t AliTPCCorrection::GetCorrSector(Double_t sector, Double_t r, Double_t kZ, Int_t axisType, Int_t corrType){ |
f1817479 | 3077 | // |
3078 | // calculate the correction at given position - check the geffCorr | |
3079 | // | |
cfe2c39a | 3080 | // corrType return values |
3081 | // 0 - delta R | |
3082 | // 1 - delta RPhi | |
3083 | // 2 - delta Z | |
3084 | // 3 - delta RPHI | |
3085 | // | |
f1817479 | 3086 | if (!fgVisualCorrection) return 0; |
3087 | AliTPCCorrection *corr = (AliTPCCorrection*)fgVisualCorrection->At(corrType); | |
3088 | if (!corr) return 0; | |
25732bff | 3089 | |
f1817479 | 3090 | Double_t phi=sector*TMath::Pi()/9.; |
287fbdfa | 3091 | Double_t gx = r*TMath::Cos(phi); |
3092 | Double_t gy = r*TMath::Sin(phi); | |
3093 | Double_t gz = r*kZ; | |
2d4e971f | 3094 | Int_t nsector=(gz>=0) ? 0:18; |
f1817479 | 3095 | // |
3096 | // | |
3097 | // | |
3098 | Float_t distPoint[3]={gx,gy,gz}; | |
3099 | corr->DistortPoint(distPoint, nsector); | |
3100 | Double_t r0=TMath::Sqrt(gx*gx+gy*gy); | |
3101 | Double_t r1=TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
3102 | Double_t phi0=TMath::ATan2(gy,gx); | |
3103 | Double_t phi1=TMath::ATan2(distPoint[1],distPoint[0]); | |
3104 | if (axisType==0) return r1-r0; | |
3105 | if (axisType==1) return (phi1-phi0)*r0; | |
3106 | if (axisType==2) return distPoint[2]-gz; | |
cfe2c39a | 3107 | if (axisType==3) return (TMath::Cos(phi)*(distPoint[0]-gx)+ TMath::Cos(phi)*(distPoint[1]-gy)); |
f1817479 | 3108 | return phi1-phi0; |
3109 | } | |
3110 | ||
3111 | Double_t AliTPCCorrection::GetCorrXYZ(Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType){ | |
3112 | // | |
3113 | // return correction at given x,y,z | |
3114 | // | |
3115 | if (!fgVisualCorrection) return 0; | |
3116 | AliTPCCorrection *corr = (AliTPCCorrection*)fgVisualCorrection->At(corrType); | |
3117 | if (!corr) return 0; | |
3118 | Double_t phi0= TMath::ATan2(gy,gx); | |
2d4e971f | 3119 | Int_t nsector=(gz>=0) ? 0:18; |
f1817479 | 3120 | Float_t distPoint[3]={gx,gy,gz}; |
2d4e971f | 3121 | corr->CorrectPoint(distPoint, nsector); |
f1817479 | 3122 | Double_t r0=TMath::Sqrt(gx*gx+gy*gy); |
3123 | Double_t r1=TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
3124 | Double_t phi1=TMath::ATan2(distPoint[1],distPoint[0]); | |
3125 | if (axisType==0) return r1-r0; | |
3126 | if (axisType==1) return (phi1-phi0)*r0; | |
3127 | if (axisType==2) return distPoint[2]-gz; | |
3128 | return phi1-phi0; | |
3129 | } | |
46e89793 | 3130 | |
fdbbc146 | 3131 | Double_t AliTPCCorrection::GetCorrXYZDz(Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType,Double_t delta){ |
3132 | // | |
3133 | // return correction at given x,y,z | |
3134 | // | |
3135 | if (!fgVisualCorrection) return 0; | |
3136 | AliTPCCorrection *corr = (AliTPCCorrection*)fgVisualCorrection->At(corrType); | |
3137 | if (!corr) return 0; | |
3138 | Double_t phi0= TMath::ATan2(gy,gx); | |
2d4e971f | 3139 | Int_t nsector=(gz>=0) ? 0:18; |
fdbbc146 | 3140 | Float_t distPoint[3]={gx,gy,gz}; |
3141 | Float_t dxyz[3]={gx,gy,gz}; | |
3142 | // | |
3143 | corr->GetCorrectionDz(distPoint, nsector,dxyz,delta); | |
2d4e971f | 3144 | distPoint[0]+=dxyz[0]; |
3145 | distPoint[1]+=dxyz[1]; | |
3146 | distPoint[2]+=dxyz[2]; | |
fdbbc146 | 3147 | Double_t r0=TMath::Sqrt(gx*gx+gy*gy); |
3148 | Double_t r1=TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
3149 | Double_t phi1=TMath::ATan2(distPoint[1],distPoint[0]); | |
3150 | if (axisType==0) return r1-r0; | |
3151 | if (axisType==1) return (phi1-phi0)*r0; | |
3152 | if (axisType==2) return distPoint[2]-gz; | |
3153 | return phi1-phi0; | |
3154 | } | |
3155 | ||
3156 | Double_t AliTPCCorrection::GetCorrXYZIntegrateZ(Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType,Double_t delta){ | |
3157 | // | |
3158 | // return correction at given x,y,z | |
3159 | // | |
3160 | if (!fgVisualCorrection) return 0; | |
3161 | AliTPCCorrection *corr = (AliTPCCorrection*)fgVisualCorrection->At(corrType); | |
3162 | if (!corr) return 0; | |
3163 | Double_t phi0= TMath::ATan2(gy,gx); | |
2d4e971f | 3164 | Int_t nsector=(gz>=0) ? 0:18; |
fdbbc146 | 3165 | Float_t distPoint[3]={gx,gy,gz}; |
3166 | Float_t dxyz[3]={gx,gy,gz}; | |
3167 | // | |
3168 | corr->GetCorrectionIntegralDz(distPoint, nsector,dxyz,delta); | |
2d4e971f | 3169 | distPoint[0]+=dxyz[0]; |
3170 | distPoint[1]+=dxyz[1]; | |
3171 | distPoint[2]+=dxyz[2]; | |
3172 | Double_t r0=TMath::Sqrt(gx*gx+gy*gy); | |
3173 | Double_t r1=TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
3174 | Double_t phi1=TMath::ATan2(distPoint[1],distPoint[0]); | |
3175 | if (axisType==0) return r1-r0; | |
3176 | if (axisType==1) return (phi1-phi0)*r0; | |
3177 | if (axisType==2) return distPoint[2]-gz; | |
3178 | return phi1-phi0; | |
3179 | } | |
3180 | ||
3181 | ||
3182 | Double_t AliTPCCorrection::GetDistXYZ(Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType){ | |
3183 | // | |
3184 | // return correction at given x,y,z | |
3185 | // | |
3186 | if (!fgVisualCorrection) return 0; | |
3187 | AliTPCCorrection *corr = (AliTPCCorrection*)fgVisualCorrection->At(corrType); | |
3188 | if (!corr) return 0; | |
3189 | Double_t phi0= TMath::ATan2(gy,gx); | |
3190 | Int_t nsector=(gz>=0) ? 0:18; | |
3191 | Float_t distPoint[3]={gx,gy,gz}; | |
3192 | corr->DistortPoint(distPoint, nsector); | |
fdbbc146 | 3193 | Double_t r0=TMath::Sqrt(gx*gx+gy*gy); |
3194 | Double_t r1=TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
3195 | Double_t phi1=TMath::ATan2(distPoint[1],distPoint[0]); | |
3196 | if (axisType==0) return r1-r0; | |
3197 | if (axisType==1) return (phi1-phi0)*r0; | |
3198 | if (axisType==2) return distPoint[2]-gz; | |
3199 | return phi1-phi0; | |
3200 | } | |
3201 | ||
2d4e971f | 3202 | Double_t AliTPCCorrection::GetDistXYZDz(Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType,Double_t delta){ |
3203 | // | |
3204 | // return correction at given x,y,z | |
3205 | // | |
3206 | if (!fgVisualCorrection) return 0; | |
3207 | AliTPCCorrection *corr = (AliTPCCorrection*)fgVisualCorrection->At(corrType); | |
3208 | if (!corr) return 0; | |
3209 | Double_t phi0= TMath::ATan2(gy,gx); | |
3210 | Int_t nsector=(gz>=0) ? 0:18; | |
3211 | Float_t distPoint[3]={gx,gy,gz}; | |
3212 | Float_t dxyz[3]={gx,gy,gz}; | |
3213 | // | |
3214 | corr->GetDistortionDz(distPoint, nsector,dxyz,delta); | |
3215 | distPoint[0]+=dxyz[0]; | |
3216 | distPoint[1]+=dxyz[1]; | |
3217 | distPoint[2]+=dxyz[2]; | |
3218 | Double_t r0=TMath::Sqrt(gx*gx+gy*gy); | |
3219 | Double_t r1=TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
3220 | Double_t phi1=TMath::ATan2(distPoint[1],distPoint[0]); | |
3221 | if (axisType==0) return r1-r0; | |
3222 | if (axisType==1) return (phi1-phi0)*r0; | |
3223 | if (axisType==2) return distPoint[2]-gz; | |
3224 | return phi1-phi0; | |
3225 | } | |
46e89793 | 3226 | |
2d4e971f | 3227 | Double_t AliTPCCorrection::GetDistXYZIntegrateZ(Double_t gx, Double_t gy, Double_t gz, Int_t axisType, Int_t corrType,Double_t delta){ |
3228 | // | |
3229 | // return correction at given x,y,z | |
3230 | // | |
3231 | if (!fgVisualCorrection) return 0; | |
3232 | AliTPCCorrection *corr = (AliTPCCorrection*)fgVisualCorrection->At(corrType); | |
3233 | if (!corr) return 0; | |
3234 | Double_t phi0= TMath::ATan2(gy,gx); | |
3235 | Int_t nsector=(gz>=0) ? 0:18; | |
3236 | Float_t distPoint[3]={gx,gy,gz}; | |
3237 | Float_t dxyz[3]={gx,gy,gz}; | |
3238 | // | |
3239 | corr->GetDistortionIntegralDz(distPoint, nsector,dxyz,delta); | |
3240 | distPoint[0]+=dxyz[0]; | |
3241 | distPoint[1]+=dxyz[1]; | |
3242 | distPoint[2]+=dxyz[2]; | |
3243 | Double_t r0=TMath::Sqrt(gx*gx+gy*gy); | |
3244 | Double_t r1=TMath::Sqrt(distPoint[0]*distPoint[0]+distPoint[1]*distPoint[1]); | |
3245 | Double_t phi1=TMath::ATan2(distPoint[1],distPoint[0]); | |
3246 | if (axisType==0) return r1-r0; | |
3247 | if (axisType==1) return (phi1-phi0)*r0; | |
3248 | if (axisType==2) return distPoint[2]-gz; | |
3249 | return phi1-phi0; | |
3250 | } | |
46e89793 | 3251 | |
3252 | ||
3253 | ||
284418bc | 3254 | void AliTPCCorrection::MakeLaserDistortionTree(TTree* tree, TObjArray */*corrArray*/, Int_t /*itype*/){ |
46e89793 | 3255 | // |
3256 | // Make a laser fit tree for global minimization | |
3257 | // | |
3258 | AliTPCcalibDB* calib=AliTPCcalibDB::Instance(); | |
3259 | AliTPCCorrection * correction = calib->GetTPCComposedCorrection(); | |
3260 | if (!correction) correction = calib->GetTPCComposedCorrection(AliTrackerBase::GetBz()); | |
3261 | correction->AddVisualCorrection(correction,0); //register correction | |
3262 | ||
284418bc | 3263 | // AliTPCTransform *transform = AliTPCcalibDB::Instance()->GetTransform() ; |
3264 | //AliTPCParam *param = AliTPCcalibDB::Instance()->GetParameters(); | |
46e89793 | 3265 | // |
3266 | const Double_t cutErrY=0.05; | |
3267 | const Double_t kSigmaCut=4; | |
3268 | // const Double_t cutErrZ=0.03; | |
3269 | const Double_t kEpsilon=0.00000001; | |
284418bc | 3270 | // const Double_t kMaxDist=1.; // max distance - space correction |
46e89793 | 3271 | TVectorD *vecdY=0; |
3272 | TVectorD *vecdZ=0; | |
3273 | TVectorD *veceY=0; | |
3274 | TVectorD *veceZ=0; | |
3275 | AliTPCLaserTrack *ltr=0; | |
3276 | AliTPCLaserTrack::LoadTracks(); | |
3277 | tree->SetBranchAddress("dY.",&vecdY); | |
3278 | tree->SetBranchAddress("dZ.",&vecdZ); | |
3279 | tree->SetBranchAddress("eY.",&veceY); | |
3280 | tree->SetBranchAddress("eZ.",&veceZ); | |
3281 | tree->SetBranchAddress("LTr.",<r); | |
3282 | Int_t entries= tree->GetEntries(); | |
3283 | TTreeSRedirector *pcstream= new TTreeSRedirector("distortionLaser_0.root"); | |
3284 | Double_t bz=AliTrackerBase::GetBz(); | |
3285 | // | |
284418bc | 3286 | // Double_t globalXYZ[3]; |
3287 | //Double_t globalXYZCorr[3]; | |
46e89793 | 3288 | for (Int_t ientry=0; ientry<entries; ientry++){ |
3289 | tree->GetEntry(ientry); | |
3290 | if (!ltr->GetVecGX()){ | |
3291 | ltr->UpdatePoints(); | |
3292 | } | |
3293 | // | |
3294 | TVectorD fit10(5); | |
3295 | TVectorD fit5(5); | |
3296 | printf("Entry\t%d\n",ientry); | |
3297 | for (Int_t irow0=0; irow0<158; irow0+=1){ | |
3298 | // | |
3299 | TLinearFitter fitter10(4,"hyp3"); | |
3300 | TLinearFitter fitter5(2,"hyp1"); | |
3301 | Int_t sector= (Int_t)(*ltr->GetVecSec())[irow0]; | |
3302 | if (sector<0) continue; | |
3303 | //if (TMath::Abs(vecdY->GetMatrixArray()[irow0])<kEpsilon) continue; | |
3304 | ||
3305 | Double_t refX= (*ltr->GetVecLX())[irow0]; | |
3306 | Int_t firstRow1 = TMath::Max(irow0-10,0); | |
3307 | Int_t lastRow1 = TMath::Min(irow0+10,158); | |
3308 | Double_t padWidth=(irow0<64)?0.4:0.6; | |
3309 | // make long range fit | |
3310 | for (Int_t irow1=firstRow1; irow1<=lastRow1; irow1++){ | |
3311 | if (TMath::Abs((*ltr->GetVecSec())[irow1]-sector)>kEpsilon) continue; | |
3312 | if (veceY->GetMatrixArray()[irow1]>cutErrY) continue; | |
3313 | if (TMath::Abs(vecdY->GetMatrixArray()[irow1])<kEpsilon) continue; | |
3314 | Double_t idealX= (*ltr->GetVecLX())[irow1]; | |
3315 | Double_t idealY= (*ltr->GetVecLY())[irow1]; | |
284418bc | 3316 | // Double_t idealZ= (*ltr->GetVecLZ())[irow1]; |
46e89793 | 3317 | Double_t gx= (*ltr->GetVecGX())[irow1]; |
3318 | Double_t gy= (*ltr->GetVecGY())[irow1]; | |
3319 | Double_t gz= (*ltr->GetVecGZ())[irow1]; | |
3320 | Double_t measY=(*vecdY)[irow1]+idealY; | |
3321 | Double_t deltaR = GetCorrXYZ(gx, gy, gz, 0,0); | |
3322 | // deltaR = R distorted -R ideal | |
3323 | Double_t xxx[4]={idealX+deltaR-refX,TMath::Cos(idealY/padWidth), TMath::Sin(idealY/padWidth)}; | |
3324 | fitter10.AddPoint(xxx,measY,1); | |
3325 | } | |
3326 | Bool_t isOK=kTRUE; | |
3327 | Double_t rms10=0;//TMath::Sqrt(fitter10.GetChisquare()/(fitter10.GetNpoints()-4)); | |
3328 | Double_t mean10 =0;// fitter10.GetParameter(0); | |
3329 | Double_t slope10 =0;// fitter10.GetParameter(0); | |
3330 | Double_t cosPart10 = 0;// fitter10.GetParameter(2); | |
3331 | Double_t sinPart10 =0;// fitter10.GetParameter(3); | |
3332 | ||
3333 | if (fitter10.GetNpoints()>10){ | |
3334 | fitter10.Eval(); | |
3335 | rms10=TMath::Sqrt(fitter10.GetChisquare()/(fitter10.GetNpoints()-4)); | |
3336 | mean10 = fitter10.GetParameter(0); | |
3337 | slope10 = fitter10.GetParameter(1); | |
3338 | cosPart10 = fitter10.GetParameter(2); | |
3339 | sinPart10 = fitter10.GetParameter(3); | |
3340 | // | |
3341 | // make short range fit | |
3342 | // | |
3343 | for (Int_t irow1=firstRow1+5; irow1<=lastRow1-5; irow1++){ | |
3344 | if (TMath::Abs((*ltr->GetVecSec())[irow1]-sector)>kEpsilon) continue; | |
3345 | if (veceY->GetMatrixArray()[irow1]>cutErrY) continue; | |
3346 | if (TMath::Abs(vecdY->GetMatrixArray()[irow1])<kEpsilon) continue; | |
3347 | Double_t idealX= (*ltr->GetVecLX())[irow1]; | |
3348 | Double_t idealY= (*ltr->GetVecLY())[irow1]; | |
284418bc | 3349 | // Double_t idealZ= (*ltr->GetVecLZ())[irow1]; |
46e89793 | 3350 | Double_t gx= (*ltr->GetVecGX())[irow1]; |
3351 | Double_t gy= (*ltr->GetVecGY())[irow1]; | |
3352 | Double_t gz= (*ltr->GetVecGZ())[irow1]; | |
3353 | Double_t measY=(*vecdY)[irow1]+idealY; | |
3354 | Double_t deltaR = GetCorrXYZ(gx, gy, gz, 0,0); | |
3355 | // deltaR = R distorted -R ideal | |
3356 | Double_t expY= mean10+slope10*(idealX+deltaR-refX); | |
3357 | if (TMath::Abs(measY-expY)>kSigmaCut*rms10) continue; | |
3358 | // | |
3359 | Double_t corr=cosPart10*TMath::Cos(idealY/padWidth)+sinPart10*TMath::Sin(idealY/padWidth); | |
3360 | Double_t xxx[4]={idealX+deltaR-refX,TMath::Cos(idealY/padWidth), TMath::Sin(idealY/padWidth)}; | |
3361 | fitter5.AddPoint(xxx,measY-corr,1); | |
3362 | } | |
3363 | }else{ | |
3364 | isOK=kFALSE; | |
3365 | } | |
3366 | if (fitter5.GetNpoints()<8) isOK=kFALSE; | |
3367 | ||
3368 | Double_t rms5=0;//TMath::Sqrt(fitter5.GetChisquare()/(fitter5.GetNpoints()-4)); | |
3369 | Double_t offset5 =0;// fitter5.GetParameter(0); | |
3370 | Double_t slope5 =0;// fitter5.GetParameter(0); | |
3371 | if (isOK){ | |
3372 | fitter5.Eval(); | |
3373 | rms5=TMath::Sqrt(fitter5.GetChisquare()/(fitter5.GetNpoints()-4)); | |
3374 | offset5 = fitter5.GetParameter(0); | |
3375 | slope5 = fitter5.GetParameter(0); | |
3376 | } | |
3377 | // | |
3378 | Double_t dtype=5; | |
3379 | Double_t ptype=0; | |
3380 | Double_t phi =(*ltr->GetVecPhi())[irow0]; | |
3381 | Double_t theta =ltr->GetTgl(); | |
3382 | Double_t mean=(vecdY)->GetMatrixArray()[irow0]; | |
3383 | Double_t gx=0,gy=0,gz=0; | |
3384 | Double_t snp = (*ltr->GetVecP2())[irow0]; | |
3385 | Int_t bundle= ltr->GetBundle(); | |
3386 | Int_t id= ltr->GetId(); | |
3387 | // Double_t rms = err->GetMatrixArray()[irow]; | |
3388 | // | |
3389 | gx = (*ltr->GetVecGX())[irow0]; | |
3390 | gy = (*ltr->GetVecGY())[irow0]; | |
3391 | gz = (*ltr->GetVecGZ())[irow0]; | |
3392 | Double_t dRrec = GetCorrXYZ(gx, gy, gz, 0,0); | |
3393 | fitter10.GetParameters(fit10); | |
3394 | fitter5.GetParameters(fit5); | |
3395 | Double_t idealY= (*ltr->GetVecLY())[irow0]; | |
3396 | Double_t measY=(*vecdY)[irow0]+idealY; | |
3397 | Double_t corr=cosPart10*TMath::Cos(idealY/padWidth)+sinPart10*TMath::Sin(idealY/padWidth); | |
3398 | if (TMath::Max(rms5,rms10)>0.06) isOK=kFALSE; | |
3399 | // | |
3400 | (*pcstream)<<"fitFull"<< // dumpe also intermediate results | |
3401 | "bz="<<bz<< // magnetic filed used | |
3402 | "dtype="<<dtype<< // detector match type | |
3403 | "ptype="<<ptype<< // parameter type | |
3404 | "theta="<<theta<< // theta | |
3405 | "phi="<<phi<< // phi | |
3406 | "snp="<<snp<< // snp | |
3407 | "sector="<<sector<< | |
3408 | "bundle="<<bundle<< | |
3409 | // // "dsec="<<dsec<< | |
3410 | "refX="<<refX<< // reference radius | |
3411 | "gx="<<gx<< // global position | |
3412 | "gy="<<gy<< // global position | |
3413 | "gz="<<gz<< // global position | |
3414 | "dRrec="<<dRrec<< // delta Radius in reconstruction | |
3415 | "id="<<id<< //bundle | |
3416 | "rms10="<<rms10<< | |
3417 | "rms5="<<rms5<< | |
3418 | "fit10.="<<&fit10<< | |
3419 | "fit5.="<<&fit5<< | |
3420 | "measY="<<measY<< | |
3421 | "mean="<<mean<< | |
3422 | "idealY="<<idealY<< | |
3423 | "corr="<<corr<< | |
3424 | "isOK="<<isOK<< | |
3425 | "\n"; | |
3426 | } | |
3427 | } | |
3428 | delete pcstream; | |
3429 | } |