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cc3e558a | 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> AliTPCSpaceCharge3D class </h2> | |
20 | // The class calculates the space point distortions due to an arbitrary space | |
21 | // charge distribution in 3D. | |
22 | // <p> | |
23 | // The method of calculation is based on the analytical solution for the Poisson | |
24 | // problem in 3D (cylindrical coordinates). The solution is used in form of | |
25 | // look up tables, where the pre calculated solutions for different voxel | |
26 | // positions are stored. These voxel solutions can be summed up according | |
27 | // to the weight of the position of the applied space charge distribution. | |
28 | // Further details can be found in \cite[chap.5]{PhD-thesis_S.Rossegger}. | |
29 | // <p> | |
30 | // The class also allows a simple scaling of the resulting distortions | |
31 | // via the function SetCorrectionFactor. This speeds up the calculation | |
32 | // time under the assumption, that the distortions scales linearly with the | |
33 | // magnitude of the space charge distribution $\rho(r,z)$ and the shape stays | |
34 | // the same at higher luminosities. | |
35 | // <p> | |
36 | // In contrast to the implementation in 2D (see the class AliTPCSpaceChargeabove), | |
37 | // the input charge distribution can be of arbitrary character. An example on how | |
38 | // to produce a corresponding charge distribution can be found in the function | |
39 | // WriteChargeDistributionToFile. In there, a $\rho(r,z) = (A-B\,z)/r^2$, | |
40 | // with slightly different magnitude on the A and C side (due to the muon absorber), | |
41 | // is superpositioned with a few leaking wires at arbitrary positions. | |
42 | // End_Html | |
43 | // | |
6a1caa6b | 44 | // Begin_Macro(source) |
b4caed64 | 45 | // { |
46 | // gROOT->SetStyle("Plain"); gStyle->SetPalette(1); | |
6a1caa6b | 47 | // TCanvas *c2 = new TCanvas("cAliTPCSpaceCharge3D","cAliTPCSpaceCharge3D",500,400); |
b4caed64 | 48 | // AliTPCSpaceCharge3D sc; |
49 | // sc.WriteChargeDistributionToFile("SC_zr2_GGleaks.root"); | |
50 | // sc.SetSCDataFileName("SC_zr2_GGleaks.root"); | |
51 | // sc.SetOmegaTauT1T2(0,1,1); // B=0 | |
52 | // sc.InitSpaceCharge3DDistortion(); | |
53 | // sc.CreateHistoDRinXY(15,300,300)->Draw("colz"); | |
54 | // return c2; | |
55 | // } | |
56 | // End_Macro | |
57 | // | |
58 | // Begin_Html | |
59 | // <p> | |
60 | // Date: 19/06/2010 <br> | |
61 | // Authors: Stefan Rossegger | |
62 | // End_Html | |
63 | // _________________________________________________________________ | |
64 | ||
cc3e558a | 65 | |
66 | #include "AliMagF.h" | |
67 | #include "TGeoGlobalMagField.h" | |
68 | #include "AliTPCcalibDB.h" | |
69 | #include "AliTPCParam.h" | |
70 | #include "AliLog.h" | |
71 | #include "TH2F.h" | |
72 | #include "TH3F.h" | |
73 | #include "TFile.h" | |
74 | #include "TVector.h" | |
75 | #include "TMatrix.h" | |
76 | #include "TMatrixD.h" | |
77 | ||
78 | #include "TMath.h" | |
79 | #include "AliTPCROC.h" | |
80 | #include "AliTPCSpaceCharge3D.h" | |
81 | ||
82 | ClassImp(AliTPCSpaceCharge3D) | |
83 | ||
84 | AliTPCSpaceCharge3D::AliTPCSpaceCharge3D() | |
85 | : AliTPCCorrection("SpaceCharge3D","Space Charge - 3D"), | |
86 | fC0(0.),fC1(0.), | |
87 | fCorrectionFactor(1.), | |
88 | fInitLookUp(kFALSE), | |
15687d71 | 89 | fSCDataFileName(""), |
90 | fSCLookUpPOCsFileName3D(""), | |
91 | fSCLookUpPOCsFileNameRZ(""), | |
92 | fSCLookUpPOCsFileNameRPhi(""), | |
93 | fSCdensityInRZ(0), | |
752b0cc7 | 94 | fSCdensityInRPhiA(0), |
15687d71 | 95 | fSCdensityInRPhiC(0) |
cc3e558a | 96 | { |
97 | // | |
98 | // default constructor | |
99 | // | |
100 | ||
101 | // Array which will contain the solution according to the setted charge density distribution | |
102 | // see InitSpaceCharge3DDistortion() function | |
103 | for ( Int_t k = 0 ; k < kNPhi ; k++ ) { | |
2bf29b72 | 104 | fLookUpErOverEz[k] = new TMatrixF(kNR,kNZ); |
105 | fLookUpEphiOverEz[k] = new TMatrixF(kNR,kNZ); | |
106 | fLookUpDeltaEz[k] = new TMatrixF(kNR,kNZ); | |
107 | fSCdensityDistribution[k] = new TMatrixF(kNR,kNZ); | |
cc3e558a | 108 | } |
15687d71 | 109 | fSCdensityInRZ = new TMatrixD(kNR,kNZ); |
110 | fSCdensityInRPhiA = new TMatrixD(kNR,kNPhi); | |
111 | fSCdensityInRPhiC = new TMatrixD(kNR,kNPhi); | |
112 | ||
113 | // location of the precalculated look up tables | |
114 | ||
115 | fSCLookUpPOCsFileName3D="$(ALICE_ROOT)/TPC/Calib/maps/sc_3D_raw_18-18-26_17p-18p-25p-MN30.root"; // rough estimate | |
116 | fSCLookUpPOCsFileNameRZ="$(ALICE_ROOT)/TPC/Calib/maps/sc_radSym_35-01-51_34p-01p-50p_MN60.root"; | |
752b0cc7 | 117 | fSCLookUpPOCsFileNameRPhi="$(ALICE_ROOT)/TPC/Calib/maps/sc_cChInZ_35-144-26_34p-18p-01p-MN30.root"; |
118 | // fSCLookUpPOCsFileNameRPhi="$(ALICE_ROOT)/TPC/Calib/maps/sc_cChInZ_35-36-26_34p-18p-01p-MN40.root"; | |
119 | ||
15687d71 | 120 | |
121 | ||
122 | // standard location of the space charge distibution ... can be changes | |
123 | fSCDataFileName="$(ALICE_ROOT)/TPC/Calib/maps/sc_3D_distribution_Sim.root"; | |
124 | ||
125 | // SetSCDataFileName(fSCDataFileName.Data()); // should be done by the user | |
cc3e558a | 126 | |
cc3e558a | 127 | |
128 | } | |
129 | ||
130 | AliTPCSpaceCharge3D::~AliTPCSpaceCharge3D() { | |
131 | // | |
132 | // default destructor | |
133 | // | |
134 | ||
135 | for ( Int_t k = 0 ; k < kNPhi ; k++ ) { | |
136 | delete fLookUpErOverEz[k]; | |
137 | delete fLookUpEphiOverEz[k]; | |
138 | delete fLookUpDeltaEz[k]; | |
139 | delete fSCdensityDistribution[k]; | |
140 | } | |
15687d71 | 141 | delete fSCdensityInRZ; |
142 | delete fSCdensityInRPhiA; | |
143 | delete fSCdensityInRPhiC; | |
cc3e558a | 144 | |
cc3e558a | 145 | } |
146 | ||
147 | ||
cc3e558a | 148 | void AliTPCSpaceCharge3D::Init() { |
149 | // | |
150 | // Initialization funtion | |
151 | // | |
152 | ||
153 | AliMagF* magF= (AliMagF*)TGeoGlobalMagField::Instance()->GetField(); | |
154 | if (!magF) AliError("Magneticd field - not initialized"); | |
155 | Double_t bzField = magF->SolenoidField()/10.; //field in T | |
156 | AliTPCParam *param= AliTPCcalibDB::Instance()->GetParameters(); | |
157 | if (!param) AliError("Parameters - not initialized"); | |
158 | Double_t vdrift = param->GetDriftV()/1000000.; // [cm/us] // From dataBase: to be updated: per second (ideally) | |
159 | Double_t ezField = 400; // [V/cm] // to be updated: never (hopefully) | |
160 | Double_t wt = -10.0 * (bzField*10) * vdrift / ezField ; | |
161 | // Correction Terms for effective omegaTau; obtained by a laser calibration run | |
162 | SetOmegaTauT1T2(wt,fT1,fT2); | |
163 | ||
164 | InitSpaceCharge3DDistortion(); // fill the look up table | |
165 | } | |
166 | ||
167 | void AliTPCSpaceCharge3D::Update(const TTimeStamp &/*timeStamp*/) { | |
168 | // | |
169 | // Update function | |
170 | // | |
171 | AliMagF* magF= (AliMagF*)TGeoGlobalMagField::Instance()->GetField(); | |
172 | if (!magF) AliError("Magneticd field - not initialized"); | |
173 | Double_t bzField = magF->SolenoidField()/10.; //field in T | |
174 | AliTPCParam *param= AliTPCcalibDB::Instance()->GetParameters(); | |
175 | if (!param) AliError("Parameters - not initialized"); | |
176 | Double_t vdrift = param->GetDriftV()/1000000.; // [cm/us] // From dataBase: to be updated: per second (ideally) | |
177 | Double_t ezField = 400; // [V/cm] // to be updated: never (hopefully) | |
178 | Double_t wt = -10.0 * (bzField*10) * vdrift / ezField ; | |
179 | // Correction Terms for effective omegaTau; obtained by a laser calibration run | |
180 | SetOmegaTauT1T2(wt,fT1,fT2); | |
181 | ||
182 | // SetCorrectionFactor(1.); // should come from some database | |
183 | ||
184 | } | |
185 | ||
186 | ||
cc3e558a | 187 | void AliTPCSpaceCharge3D::GetCorrection(const Float_t x[],const Short_t roc,Float_t dx[]) { |
188 | // | |
189 | // Calculates the correction due the Space Charge effect within the TPC drift volume | |
190 | // | |
191 | ||
192 | if (!fInitLookUp) { | |
193 | AliInfo("Lookup table was not initialized! Performing the inizialisation now ..."); | |
194 | InitSpaceCharge3DDistortion(); | |
195 | } | |
196 | ||
197 | Int_t order = 1 ; // FIXME: hardcoded? Linear interpolation = 1, Quadratic = 2 | |
198 | ||
2bf29b72 | 199 | Float_t intEr, intEphi, intdEz ; |
cc3e558a | 200 | Double_t r, phi, z ; |
201 | Int_t sign; | |
202 | ||
203 | r = TMath::Sqrt( x[0]*x[0] + x[1]*x[1] ) ; | |
204 | phi = TMath::ATan2(x[1],x[0]) ; | |
205 | if ( phi < 0 ) phi += TMath::TwoPi() ; // Table uses phi from 0 to 2*Pi | |
206 | z = x[2] ; // Create temporary copy of x[2] | |
207 | ||
208 | if ( (roc%36) < 18 ) { | |
209 | sign = 1; // (TPC A side) | |
210 | } else { | |
211 | sign = -1; // (TPC C side) | |
212 | } | |
213 | ||
214 | if ( sign==1 && z < fgkZOffSet ) z = fgkZOffSet; // Protect against discontinuity at CE | |
215 | if ( sign==-1 && z > -fgkZOffSet ) z = -fgkZOffSet; // Protect against discontinuity at CE | |
216 | ||
217 | ||
218 | if ( (sign==1 && z<0) || (sign==-1 && z>0) ) // just a consistency check | |
219 | AliError("ROC number does not correspond to z coordinate! Calculation of distortions is most likely wrong!"); | |
220 | ||
221 | // Get the Er and Ephi field integrals plus the integral over DeltaEz | |
222 | intEr = Interpolate3DTable(order, r, z, phi, kNR, kNZ, kNPhi, | |
223 | fgkRList, fgkZList, fgkPhiList, fLookUpErOverEz ); | |
224 | intEphi = Interpolate3DTable(order, r, z, phi, kNR, kNZ, kNPhi, | |
225 | fgkRList, fgkZList, fgkPhiList, fLookUpEphiOverEz); | |
226 | intdEz = Interpolate3DTable(order, r, z, phi, kNR, kNZ, kNPhi, | |
227 | fgkRList, fgkZList, fgkPhiList, fLookUpDeltaEz ); | |
228 | ||
229 | // Calculate distorted position | |
230 | if ( r > 0.0 ) { | |
231 | phi = phi + fCorrectionFactor *( fC0*intEphi - fC1*intEr ) / r; | |
232 | r = r + fCorrectionFactor *( fC0*intEr + fC1*intEphi ); | |
233 | } | |
234 | Double_t dz = intdEz * fCorrectionFactor * fgkdvdE; | |
235 | ||
236 | // Calculate correction in cartesian coordinates | |
752b0cc7 | 237 | dx[0] = - (r * TMath::Cos(phi) - x[0]); |
238 | dx[1] = - (r * TMath::Sin(phi) - x[1]); | |
239 | dx[2] = - dz; // z distortion - (scaled with driftvelocity dependency on the Ez field and the overall scaling factor) | |
cc3e558a | 240 | |
241 | } | |
242 | ||
cc3e558a | 243 | void AliTPCSpaceCharge3D::InitSpaceCharge3DDistortion() { |
15687d71 | 244 | // |
245 | // Initialization of the Lookup table which contains the solutions of the | |
246 | // "space charge" (poisson) problem - Faster and more accureate | |
247 | // | |
248 | // Method: Weighted sum-up of the different fields within the look up table | |
249 | // but using two lookup tables with higher granularity in the (r,z) and the (rphi)- plane to emulate | |
250 | // more realistic space charges. (r,z) from primary ionisation. (rphi) for possible Gating leaks | |
251 | ||
252 | if (fInitLookUp) { | |
253 | AliInfo("Lookup table was already initialized! Doing it again anyway ..."); | |
254 | // return; | |
255 | } | |
256 | ||
257 | // ------------------------------------------------------------------------------------------------------ | |
258 | // step 1: lookup table in rz, fine grid, radial symetric, to emulate primary ionization | |
259 | ||
260 | AliInfo("Step 1: Preparation of the weighted look-up tables."); | |
261 | ||
262 | // lookup table in rz, fine grid | |
263 | ||
264 | TFile *fZR = new TFile(fSCLookUpPOCsFileNameRZ.Data(),"READ"); | |
265 | if ( !fZR ) { | |
266 | AliError("Precalculated POC-looup-table in ZR could not be found"); | |
267 | return; | |
268 | } | |
269 | ||
270 | // units are in [m] | |
271 | TVector *gridf1 = (TVector*) fZR->Get("constants"); | |
272 | TVector &grid1 = *gridf1; | |
273 | TMatrix *coordf1 = (TMatrix*) fZR->Get("coordinates"); | |
274 | TMatrix &coord1 = *coordf1; | |
275 | TMatrix *coordPOCf1 = (TMatrix*) fZR->Get("POCcoord"); | |
276 | TMatrix &coordPOC1 = *coordPOCf1; | |
277 | ||
278 | Int_t rows = (Int_t)grid1(0); // number of points in r direction - from RZ or RPhi table | |
279 | Int_t phiSlices = (Int_t)grid1(1); // number of points in phi - from RPhi table | |
280 | Int_t columns = (Int_t)grid1(2); // number of points in z direction - from RZ table | |
281 | ||
282 | Float_t gridSizeR = (fgkOFCRadius-fgkIFCRadius)/(rows-1); // unit in [cm] | |
283 | Float_t gridSizeZ = fgkTPCZ0/(columns-1); // unit in [cm] | |
284 | ||
285 | // temporary matrices needed for the calculation // for rotational symmetric RZ table, phislices is 1 | |
9f3b99e2 | 286 | |
287 | TMatrixD *arrayofErA[kNPhiSlices], *arrayofdEzA[kNPhiSlices]; | |
288 | TMatrixD *arrayofErC[kNPhiSlices], *arrayofdEzC[kNPhiSlices]; | |
15687d71 | 289 | |
9f3b99e2 | 290 | TMatrixD *arrayofEroverEzA[kNPhiSlices], *arrayofDeltaEzA[kNPhiSlices]; |
291 | TMatrixD *arrayofEroverEzC[kNPhiSlices], *arrayofDeltaEzC[kNPhiSlices]; | |
15687d71 | 292 | |
293 | ||
294 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
295 | ||
296 | arrayofErA[k] = new TMatrixD(rows,columns) ; | |
297 | arrayofdEzA[k] = new TMatrixD(rows,columns) ; | |
298 | arrayofErC[k] = new TMatrixD(rows,columns) ; | |
299 | arrayofdEzC[k] = new TMatrixD(rows,columns) ; | |
300 | ||
301 | arrayofEroverEzA[k] = new TMatrixD(rows,columns) ; | |
302 | arrayofDeltaEzA[k] = new TMatrixD(rows,columns) ; | |
303 | arrayofEroverEzC[k] = new TMatrixD(rows,columns) ; | |
304 | arrayofDeltaEzC[k] = new TMatrixD(rows,columns) ; | |
305 | ||
306 | // zero initialization not necessary, it is done in the constructor of TMatrix | |
307 | ||
308 | } | |
309 | ||
310 | // list of points as used during sum up | |
9f3b99e2 | 311 | Double_t rlist1[kNRows], zedlist1[kNColumns];// , philist1[phiSlices]; |
15687d71 | 312 | for ( Int_t i = 0 ; i < rows ; i++ ) { |
313 | rlist1[i] = fgkIFCRadius + i*gridSizeR ; | |
314 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
315 | zedlist1[j] = j * gridSizeZ ; | |
316 | } | |
317 | } | |
318 | ||
319 | TTree *treePOC = (TTree*)fZR->Get("POCall"); | |
320 | ||
321 | TVector *bEr = 0; //TVector *bEphi= 0; | |
322 | TVector *bEz = 0; | |
323 | ||
324 | treePOC->SetBranchAddress("Er",&bEr); | |
325 | treePOC->SetBranchAddress("Ez",&bEz); | |
326 | ||
327 | ||
328 | // Read the complete tree and do a weighted sum-up over the POC configurations | |
329 | // +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
330 | ||
331 | Int_t treeNumPOC = (Int_t)treePOC->GetEntries(); // Number of POC conf. in the look-up table | |
332 | Int_t ipC = 0; // POC Conf. counter (note: different to the POC number in the tree!) | |
333 | ||
334 | for (Int_t itreepC=0; itreepC<treeNumPOC; itreepC++) { // ------------- loop over POC configurations in tree | |
335 | ||
336 | treePOC->GetEntry(itreepC); | |
337 | ||
338 | // center of the POC voxel in [meter] | |
339 | Double_t r0 = coordPOC1(ipC,0); | |
340 | Double_t phi0 = coordPOC1(ipC,1); | |
341 | Double_t z0 = coordPOC1(ipC,2); | |
342 | ||
343 | ipC++; // POC configuration counter | |
344 | ||
345 | // weights (charge density) at POC position on the A and C side (in C/m^3/e0) | |
346 | // note: coordinates are in [cm] | |
347 | Double_t weightA = GetSpaceChargeDensity(r0*100,phi0, z0*100, 1); // partial load in r,z | |
348 | Double_t weightC = GetSpaceChargeDensity(r0*100,phi0,-z0*100, 1); // partial load in r,z | |
349 | ||
350 | // Summing up the vector components according to their weight | |
351 | ||
352 | Int_t ip = 0; | |
353 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
354 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
355 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
356 | ||
357 | // check wether the coordinates were screwed | |
358 | if (TMath::Abs((coord1(0,ip)*100-rlist1[i]))>1 || | |
359 | TMath::Abs((coord1(2,ip)*100-zedlist1[j])>1)) { | |
360 | AliError("internal error: coordinate system was screwed during the sum-up"); | |
9f3b99e2 | 361 | printf("sum-up: (r,z)=(%f,%f)\n",rlist1[i],zedlist1[j]); |
362 | printf("lookup: (r,z)=(%f,%f)\n",coord1(0,ip)*100,coord1(2,ip)*100); | |
15687d71 | 363 | AliError("Don't trust the results of the space charge calculation!"); |
364 | } | |
365 | ||
366 | // unfortunately, the lookup tables were produced to be faster for phi symmetric charges | |
367 | // This will be the most frequent usage (hopefully) | |
368 | // That's why we have to do this here ... | |
369 | ||
370 | TMatrixD &erA = *arrayofErA[k] ; | |
371 | TMatrixD &dEzA = *arrayofdEzA[k] ; | |
372 | ||
373 | TMatrixD &erC = *arrayofErC[k] ; | |
374 | TMatrixD &dEzC = *arrayofdEzC[k] ; | |
375 | ||
376 | // Sum up - Efield values in [V/m] -> transition to [V/cm] | |
377 | erA(i,j) += ((*bEr)(ip)) * weightA /100; | |
378 | erC(i,j) += ((*bEr)(ip)) * weightC /100; | |
379 | dEzA(i,j) += ((*bEz)(ip)) * weightA /100; | |
380 | dEzC(i,j) += ((*bEz)(ip)) * weightC /100; | |
381 | ||
382 | // increase the counter | |
383 | ip++; | |
384 | } | |
385 | } | |
386 | } // end coordinate loop | |
387 | } // end POC loop | |
388 | ||
389 | ||
390 | // ------------------------------------------------------------------------------- | |
391 | // Division by the Ez (drift) field and integration along z | |
392 | ||
393 | // AliInfo("Step 1: Division and integration"); | |
394 | ||
395 | Double_t ezField = (fgkCathodeV-fgkGG)/fgkTPCZ0; // = Electric Field (V/cm) Magnitude ~ -400 V/cm; | |
396 | ||
397 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { // phi loop | |
398 | ||
399 | // matrices holding the solution - summation of POC charges // see above | |
400 | TMatrixD &erA = *arrayofErA[k] ; | |
401 | TMatrixD &dezA = *arrayofdEzA[k] ; | |
402 | TMatrixD &erC = *arrayofErC[k] ; | |
403 | TMatrixD &dezC = *arrayofdEzC[k] ; | |
404 | ||
405 | // matrices which will contain the integrated fields (divided by the drift field) | |
406 | TMatrixD &erOverEzA = *arrayofEroverEzA[k] ; | |
407 | TMatrixD &deltaEzA = *arrayofDeltaEzA[k]; | |
408 | TMatrixD &erOverEzC = *arrayofEroverEzC[k] ; | |
409 | TMatrixD &deltaEzC = *arrayofDeltaEzC[k]; | |
410 | ||
411 | for ( Int_t i = 0 ; i < rows ; i++ ) { // r loop | |
412 | for ( Int_t j = columns-1 ; j >= 0 ; j-- ) {// z loop | |
413 | // Count backwards to facilitate integration over Z | |
414 | ||
415 | Int_t index = 1 ; // Simpsons rule if N=odd.If N!=odd then add extra point | |
416 | // by trapezoidal rule. | |
417 | ||
418 | erOverEzA(i,j) = 0; //ephiOverEzA(i,j) = 0; | |
419 | deltaEzA(i,j) = 0; | |
420 | erOverEzC(i,j) = 0; //ephiOverEzC(i,j) = 0; | |
421 | deltaEzC(i,j) = 0; | |
422 | ||
423 | for ( Int_t m = j ; m < columns ; m++ ) { // integration | |
424 | ||
425 | erOverEzA(i,j) += index*(gridSizeZ/3.0)*erA(i,m)/(-1*ezField) ; | |
426 | erOverEzC(i,j) += index*(gridSizeZ/3.0)*erC(i,m)/(-1*ezField) ; | |
427 | deltaEzA(i,j) += index*(gridSizeZ/3.0)*dezA(i,m)/(-1) ; | |
428 | deltaEzC(i,j) += index*(gridSizeZ/3.0)*dezC(i,m)/(-1) ; | |
429 | ||
430 | if ( index != 4 ) index = 4; else index = 2 ; | |
431 | ||
432 | } | |
433 | ||
434 | if ( index == 4 ) { | |
435 | erOverEzA(i,j) -= (gridSizeZ/3.0)*erA(i,columns-1)/(-1*ezField) ; | |
436 | erOverEzC(i,j) -= (gridSizeZ/3.0)*erC(i,columns-1)/(-1*ezField) ; | |
437 | deltaEzA(i,j) -= (gridSizeZ/3.0)*dezA(i,columns-1)/(-1) ; | |
438 | deltaEzC(i,j) -= (gridSizeZ/3.0)*dezC(i,columns-1)/(-1) ; | |
439 | } | |
440 | if ( index == 2 ) { | |
441 | erOverEzA(i,j) += (gridSizeZ/3.0)*(0.5*erA(i,columns-2)-2.5*erA(i,columns-1))/(-1*ezField) ; | |
442 | erOverEzC(i,j) += (gridSizeZ/3.0)*(0.5*erC(i,columns-2)-2.5*erC(i,columns-1))/(-1*ezField) ; | |
443 | deltaEzA(i,j) += (gridSizeZ/3.0)*(0.5*dezA(i,columns-2)-2.5*dezA(i,columns-1))/(-1) ; | |
444 | deltaEzC(i,j) += (gridSizeZ/3.0)*(0.5*dezC(i,columns-2)-2.5*dezC(i,columns-1))/(-1) ; | |
445 | } | |
446 | if ( j == columns-2 ) { | |
447 | erOverEzA(i,j) = (gridSizeZ/3.0)*(1.5*erA(i,columns-2)+1.5*erA(i,columns-1))/(-1*ezField) ; | |
448 | erOverEzC(i,j) = (gridSizeZ/3.0)*(1.5*erC(i,columns-2)+1.5*erC(i,columns-1))/(-1*ezField) ; | |
449 | deltaEzA(i,j) = (gridSizeZ/3.0)*(1.5*dezA(i,columns-2)+1.5*dezA(i,columns-1))/(-1) ; | |
450 | deltaEzC(i,j) = (gridSizeZ/3.0)*(1.5*dezC(i,columns-2)+1.5*dezC(i,columns-1))/(-1) ; | |
451 | } | |
452 | if ( j == columns-1 ) { | |
453 | erOverEzA(i,j) = 0; | |
454 | erOverEzC(i,j) = 0; | |
455 | deltaEzA(i,j) = 0; | |
456 | deltaEzC(i,j) = 0; | |
457 | } | |
458 | } | |
459 | } | |
460 | ||
461 | } | |
462 | ||
463 | // AliInfo("Step 1: Interpolation to Standard grid"); | |
464 | ||
465 | // ------------------------------------------------------------------------------- | |
466 | // Interpolate results onto the standard grid which is used for all AliTPCCorrections classes | |
467 | ||
468 | const Int_t order = 1 ; // Linear interpolation = 1, Quadratic = 2 | |
469 | ||
470 | Double_t r, z;//phi, z ; | |
471 | for ( Int_t k = 0 ; k < kNPhi ; k++ ) { | |
472 | // phi = fgkPhiList[k] ; | |
473 | ||
474 | // final lookup table | |
2bf29b72 | 475 | TMatrixF &erOverEzFinal = *fLookUpErOverEz[k] ; |
476 | TMatrixF &deltaEzFinal = *fLookUpDeltaEz[k] ; | |
15687d71 | 477 | |
478 | // calculated and integrated tables - just one phi slice | |
479 | TMatrixD &erOverEzA = *arrayofEroverEzA[0] ; | |
480 | TMatrixD &deltaEzA = *arrayofDeltaEzA[0]; | |
481 | TMatrixD &erOverEzC = *arrayofEroverEzC[0] ; | |
482 | TMatrixD &deltaEzC = *arrayofDeltaEzC[0]; | |
483 | ||
484 | ||
485 | for ( Int_t j = 0 ; j < kNZ ; j++ ) { | |
486 | ||
487 | z = TMath::Abs(fgkZList[j]) ; // z position is symmetric | |
488 | ||
489 | for ( Int_t i = 0 ; i < kNR ; i++ ) { | |
490 | r = fgkRList[i] ; | |
491 | ||
492 | // Interpolate Lookup tables onto standard grid | |
493 | if (fgkZList[j]>0) { | |
494 | erOverEzFinal(i,j) = Interpolate2DTable(order, r, z, rows, columns, rlist1, zedlist1, erOverEzA ); | |
495 | deltaEzFinal(i,j) = Interpolate2DTable(order, r, z, rows, columns, rlist1, zedlist1, deltaEzA ); | |
496 | } else { | |
497 | erOverEzFinal(i,j) = Interpolate2DTable(order, r, z, rows, columns, rlist1, zedlist1, erOverEzC ); | |
498 | deltaEzFinal(i,j) = - Interpolate2DTable(order, r, z, rows, columns, rlist1, zedlist1, deltaEzC ); | |
499 | // negative coordinate system on C side | |
500 | } | |
501 | ||
502 | } // end r loop | |
503 | } // end z loop | |
504 | } // end phi loop | |
505 | ||
506 | ||
507 | // clear the temporary arrays lists | |
508 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
509 | ||
510 | delete arrayofErA[k]; | |
511 | delete arrayofdEzA[k]; | |
512 | delete arrayofErC[k]; | |
513 | delete arrayofdEzC[k]; | |
514 | ||
515 | delete arrayofEroverEzA[k]; | |
516 | delete arrayofDeltaEzA[k]; | |
517 | delete arrayofEroverEzC[k]; | |
518 | delete arrayofDeltaEzC[k]; | |
519 | ||
520 | } | |
521 | ||
522 | fZR->Close(); | |
523 | ||
524 | // ------------------------------------------------------------------------------------------------------ | |
525 | // Step 2: Load and sum up lookup table in rphi, fine grid, to emulate for example a GG leak | |
526 | ||
527 | // AliInfo("Step 2: Preparation of the weighted look-up table"); | |
528 | ||
529 | TFile *fRPhi = new TFile(fSCLookUpPOCsFileNameRPhi.Data(),"READ"); | |
530 | if ( !fRPhi ) { | |
531 | AliError("Precalculated POC-looup-table in RPhi could not be found"); | |
532 | return; | |
533 | } | |
534 | ||
535 | // units are in [m] | |
536 | TVector *gridf2 = (TVector*) fRPhi->Get("constants"); | |
537 | TVector &grid2 = *gridf2; | |
538 | TMatrix *coordf2 = (TMatrix*) fRPhi->Get("coordinates"); | |
539 | TMatrix &coord2 = *coordf2; | |
540 | TMatrix *coordPOCf2 = (TMatrix*) fRPhi->Get("POCcoord"); | |
541 | TMatrix &coordPOC2 = *coordPOCf2; | |
542 | ||
543 | rows = (Int_t)grid2(0); // number of points in r direction | |
544 | phiSlices = (Int_t)grid2(1); // number of points in phi | |
545 | columns = (Int_t)grid2(2); // number of points in z direction | |
546 | ||
547 | gridSizeR = (fgkOFCRadius-fgkIFCRadius)/(rows-1); // unit in [cm] | |
548 | Float_t gridSizePhi = TMath::TwoPi()/phiSlices; // unit in [rad] | |
549 | gridSizeZ = fgkTPCZ0/(columns-1); // unit in [cm] | |
550 | ||
551 | // list of points as used during sum up | |
9f3b99e2 | 552 | Double_t rlist2[kNRows], philist2[kNPhiSlices], zedlist2[kNColumns]; |
15687d71 | 553 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { |
554 | philist2[k] = gridSizePhi * k; | |
555 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
556 | rlist2[i] = fgkIFCRadius + i*gridSizeR ; | |
557 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
558 | zedlist2[j] = j * gridSizeZ ; | |
559 | } | |
560 | } | |
561 | } // only done once | |
562 | ||
563 | // temporary matrices needed for the calculation | |
564 | ||
9f3b99e2 | 565 | TMatrixD *arrayofErA2[kNPhiSlices], *arrayofEphiA2[kNPhiSlices], *arrayofdEzA2[kNPhiSlices]; |
566 | TMatrixD *arrayofErC2[kNPhiSlices], *arrayofEphiC2[kNPhiSlices], *arrayofdEzC2[kNPhiSlices]; | |
15687d71 | 567 | |
9f3b99e2 | 568 | TMatrixD *arrayofEroverEzA2[kNPhiSlices], *arrayofEphioverEzA2[kNPhiSlices], *arrayofDeltaEzA2[kNPhiSlices]; |
569 | TMatrixD *arrayofEroverEzC2[kNPhiSlices], *arrayofEphioverEzC2[kNPhiSlices], *arrayofDeltaEzC2[kNPhiSlices]; | |
15687d71 | 570 | |
571 | ||
572 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
573 | ||
574 | arrayofErA2[k] = new TMatrixD(rows,columns) ; | |
575 | arrayofEphiA2[k] = new TMatrixD(rows,columns) ; | |
576 | arrayofdEzA2[k] = new TMatrixD(rows,columns) ; | |
577 | arrayofErC2[k] = new TMatrixD(rows,columns) ; | |
578 | arrayofEphiC2[k] = new TMatrixD(rows,columns) ; | |
579 | arrayofdEzC2[k] = new TMatrixD(rows,columns) ; | |
580 | ||
581 | arrayofEroverEzA2[k] = new TMatrixD(rows,columns) ; | |
582 | arrayofEphioverEzA2[k] = new TMatrixD(rows,columns) ; | |
583 | arrayofDeltaEzA2[k] = new TMatrixD(rows,columns) ; | |
584 | arrayofEroverEzC2[k] = new TMatrixD(rows,columns) ; | |
585 | arrayofEphioverEzC2[k] = new TMatrixD(rows,columns) ; | |
586 | arrayofDeltaEzC2[k] = new TMatrixD(rows,columns) ; | |
587 | ||
588 | // zero initialization not necessary, it is done in the constructor of TMatrix | |
589 | ||
590 | } | |
591 | ||
592 | ||
593 | treePOC = (TTree*)fRPhi->Get("POCall"); | |
594 | ||
595 | // TVector *bEr = 0; // done above | |
596 | TVector *bEphi= 0; | |
597 | // TVector *bEz = 0; // done above | |
598 | ||
599 | treePOC->SetBranchAddress("Er",&bEr); | |
600 | treePOC->SetBranchAddress("Ephi",&bEphi); | |
601 | treePOC->SetBranchAddress("Ez",&bEz); | |
602 | ||
603 | // Read the complete tree and do a weighted sum-up over the POC configurations | |
604 | // +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
605 | ||
606 | treeNumPOC = (Int_t)treePOC->GetEntries(); // Number of POC conf. in the look-up table | |
607 | ipC = 0; // POC Conf. counter (note: different to the POC number in the tree!) | |
608 | ||
609 | for (Int_t itreepC=0; itreepC<treeNumPOC; itreepC++) { // ------------- loop over POC configurations in tree | |
610 | ||
611 | treePOC->GetEntry(itreepC); | |
612 | ||
613 | // center of the POC voxel in [meter] | |
614 | Double_t r0 = coordPOC2(ipC,0); | |
615 | Double_t phi0 = coordPOC2(ipC,1); | |
616 | // Double_t z0 = coordPOC2(ipC,2); | |
617 | ||
618 | // weights (charge density) at POC position on the A and C side (in C/m^3/e0) | |
619 | // note: coordinates are in [cm] | |
620 | Double_t weightA = GetSpaceChargeDensity(r0*100,phi0, 0.499, 2); // partial load in r,phi | |
621 | Double_t weightC = GetSpaceChargeDensity(r0*100,phi0,-0.499, 2); // partial load in r,phi | |
622 | ||
9f3b99e2 | 623 | // printf("-----\n%f %f : %e %e\n",r0,phi0,weightA,weightC); |
15687d71 | 624 | |
625 | // Summing up the vector components according to their weight | |
626 | ||
627 | Int_t ip = 0; | |
628 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
629 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
630 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
631 | ||
632 | // check wether the coordinates were screwed | |
633 | if (TMath::Abs((coord2(0,ip)*100-rlist2[i]))>1 || | |
634 | TMath::Abs((coord2(1,ip)-philist2[k]))>1 || | |
635 | TMath::Abs((coord2(2,ip)*100-zedlist2[j]))>1) { | |
636 | AliError("internal error: coordinate system was screwed during the sum-up"); | |
9f3b99e2 | 637 | printf("lookup: (r,phi,z)=(%f,%f,%f)\n",coord2(0,ip)*100,coord2(1,ip),coord2(2,ip)*100); |
638 | printf("sum-up: (r,phi,z)=(%f,%f,%f)\n",rlist2[i],philist2[k],zedlist2[j]); | |
15687d71 | 639 | AliError("Don't trust the results of the space charge calculation!"); |
640 | } | |
641 | ||
642 | // unfortunately, the lookup tables were produced to be faster for phi symmetric charges | |
643 | // This will be the most frequent usage (hopefully) | |
644 | // That's why we have to do this here ... | |
645 | ||
646 | TMatrixD &erA = *arrayofErA2[k] ; | |
647 | TMatrixD &ephiA = *arrayofEphiA2[k]; | |
648 | TMatrixD &dEzA = *arrayofdEzA2[k] ; | |
649 | ||
650 | TMatrixD &erC = *arrayofErC2[k] ; | |
651 | TMatrixD &ephiC = *arrayofEphiC2[k]; | |
652 | TMatrixD &dEzC = *arrayofdEzC2[k] ; | |
653 | ||
654 | // Sum up - Efield values in [V/m] -> transition to [V/cm] | |
655 | erA(i,j) += ((*bEr)(ip)) * weightA /100; | |
656 | erC(i,j) += ((*bEr)(ip)) * weightC /100; | |
657 | ephiA(i,j) += ((*bEphi)(ip)) * weightA/100; // [V/rad] | |
658 | ephiC(i,j) += ((*bEphi)(ip)) * weightC/100; // [V/rad] | |
659 | dEzA(i,j) += ((*bEz)(ip)) * weightA /100; | |
660 | dEzC(i,j) += ((*bEz)(ip)) * weightC /100; | |
661 | ||
662 | // increase the counter | |
663 | ip++; | |
664 | } | |
665 | } | |
666 | } // end coordinate loop | |
667 | ||
668 | ||
669 | // Rotation and summation in the rest of the dPhiSteps | |
670 | // which were not stored in the this tree due to storage & symmetry reasons | |
671 | ||
672 | ||
673 | Int_t phiPoints = (Int_t) grid2(1); | |
674 | Int_t phiPOC = (Int_t) grid2(4); | |
675 | ||
676 | // printf("%d %d\n",phiPOC,flagRadSym); | |
677 | ||
678 | for (Int_t phiiC = 1; phiiC<phiPOC; phiiC++) { // just used for non-radial symetric table | |
679 | ||
680 | Double_t phi0R = phiiC*phi0*2 + phi0; // rotate further | |
681 | ||
682 | // weights (charge density) at POC position on the A and C side (in C/m^3/e0) | |
683 | // note: coordinates are in [cm] // ecxept z | |
684 | weightA = GetSpaceChargeDensity(r0*100,phi0R, 0.499, 2); // partial load in r,phi | |
685 | weightC = GetSpaceChargeDensity(r0*100,phi0R,-0.499, 2); // partial load in r,phi | |
686 | ||
9f3b99e2 | 687 | // printf("%f %f : %e %e\n",r0,phi0R,weightA,weightC); |
15687d71 | 688 | |
689 | // Summing up the vector components according to their weight | |
690 | ip = 0; | |
691 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
692 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
693 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
694 | ||
695 | // Note: rotating the coordinated during the sum up | |
696 | ||
697 | Int_t rotVal = (phiPoints/phiPOC)*phiiC; | |
698 | Int_t ipR = -1; | |
699 | ||
700 | if ((ip%phiPoints)>=rotVal) { | |
701 | ipR = ip-rotVal; | |
702 | } else { | |
703 | ipR = ip+(phiPoints-rotVal); | |
704 | } | |
705 | ||
706 | // unfortunately, the lookup tables were produced to be faster for phi symmetric charges | |
707 | // This will be the most frequent usage | |
708 | // That's why we have to do this here and not outside the loop ... | |
709 | ||
710 | TMatrixD &erA = *arrayofErA2[k] ; | |
711 | TMatrixD &ephiA = *arrayofEphiA2[k]; | |
712 | TMatrixD &dEzA = *arrayofdEzA2[k] ; | |
713 | ||
714 | TMatrixD &erC = *arrayofErC2[k] ; | |
715 | TMatrixD &ephiC = *arrayofEphiC2[k]; | |
716 | TMatrixD &dEzC = *arrayofdEzC2[k] ; | |
717 | ||
718 | // Sum up - Efield values in [V/m] -> transition to [V/cm] | |
719 | erA(i,j) += ((*bEr)(ipR)) * weightA /100; | |
720 | erC(i,j) += ((*bEr)(ipR)) * weightC /100; | |
721 | ephiA(i,j) += ((*bEphi)(ipR)) * weightA/100; // [V/rad] | |
722 | ephiC(i,j) += ((*bEphi)(ipR)) * weightC/100; // [V/rad] | |
723 | dEzA(i,j) += ((*bEz)(ipR)) * weightA /100; | |
724 | dEzC(i,j) += ((*bEz)(ipR)) * weightC /100; | |
725 | ||
726 | // increase the counter | |
727 | ip++; | |
728 | } | |
729 | } | |
730 | } // end coordinate loop | |
731 | ||
732 | } // end phi-POC summation (phiiC) | |
733 | ||
734 | ipC++; // POC configuration counter | |
735 | ||
9f3b99e2 | 736 | // printf("POC: (r,phi,z) = (%f %f %f) | weight(A,C): %03.1lf %03.1lf\n",r0,phi0,z0, weightA, weightC); |
15687d71 | 737 | |
738 | } | |
739 | ||
740 | ||
741 | ||
742 | ||
743 | // ------------------------------------------------------------------------------- | |
744 | // Division by the Ez (drift) field and integration along z | |
745 | ||
746 | // AliInfo("Step 2: Division and integration"); | |
747 | ||
748 | ||
749 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { // phi loop | |
750 | ||
751 | // matrices holding the solution - summation of POC charges // see above | |
752 | TMatrixD &erA = *arrayofErA2[k] ; | |
753 | TMatrixD &ephiA = *arrayofEphiA2[k]; | |
754 | TMatrixD &dezA = *arrayofdEzA2[k] ; | |
755 | TMatrixD &erC = *arrayofErC2[k] ; | |
756 | TMatrixD &ephiC = *arrayofEphiC2[k]; | |
757 | TMatrixD &dezC = *arrayofdEzC2[k] ; | |
758 | ||
759 | // matrices which will contain the integrated fields (divided by the drift field) | |
760 | TMatrixD &erOverEzA = *arrayofEroverEzA2[k] ; | |
761 | TMatrixD &ephiOverEzA = *arrayofEphioverEzA2[k]; | |
762 | TMatrixD &deltaEzA = *arrayofDeltaEzA2[k]; | |
763 | TMatrixD &erOverEzC = *arrayofEroverEzC2[k] ; | |
764 | TMatrixD &ephiOverEzC = *arrayofEphioverEzC2[k]; | |
765 | TMatrixD &deltaEzC = *arrayofDeltaEzC2[k]; | |
766 | ||
767 | for ( Int_t i = 0 ; i < rows ; i++ ) { // r loop | |
768 | for ( Int_t j = columns-1 ; j >= 0 ; j-- ) {// z loop | |
769 | // Count backwards to facilitate integration over Z | |
770 | ||
771 | Int_t index = 1 ; // Simpsons rule if N=odd.If N!=odd then add extra point by trapezoidal rule. | |
772 | ||
773 | erOverEzA(i,j) = 0; | |
774 | ephiOverEzA(i,j) = 0; | |
775 | deltaEzA(i,j) = 0; | |
776 | erOverEzC(i,j) = 0; | |
777 | ephiOverEzC(i,j) = 0; | |
778 | deltaEzC(i,j) = 0; | |
779 | ||
780 | for ( Int_t m = j ; m < columns ; m++ ) { // integration | |
781 | ||
782 | erOverEzA(i,j) += index*(gridSizeZ/3.0)*erA(i,m)/(-1*ezField) ; | |
783 | erOverEzC(i,j) += index*(gridSizeZ/3.0)*erC(i,m)/(-1*ezField) ; | |
784 | ephiOverEzA(i,j) += index*(gridSizeZ/3.0)*ephiA(i,m)/(-1*ezField) ; | |
785 | ephiOverEzC(i,j) += index*(gridSizeZ/3.0)*ephiC(i,m)/(-1*ezField) ; | |
786 | deltaEzA(i,j) += index*(gridSizeZ/3.0)*dezA(i,m)/(-1) ; | |
787 | deltaEzC(i,j) += index*(gridSizeZ/3.0)*dezC(i,m)/(-1) ; | |
788 | ||
789 | if ( index != 4 ) index = 4; else index = 2 ; | |
790 | ||
791 | } | |
792 | ||
793 | if ( index == 4 ) { | |
794 | erOverEzA(i,j) -= (gridSizeZ/3.0)*erA(i,columns-1)/(-1*ezField) ; | |
795 | erOverEzC(i,j) -= (gridSizeZ/3.0)*erC(i,columns-1)/(-1*ezField) ; | |
796 | ephiOverEzA(i,j) -= (gridSizeZ/3.0)*ephiA(i,columns-1)/(-1*ezField) ; | |
797 | ephiOverEzC(i,j) -= (gridSizeZ/3.0)*ephiC(i,columns-1)/(-1*ezField) ; | |
798 | deltaEzA(i,j) -= (gridSizeZ/3.0)*dezA(i,columns-1)/(-1) ; | |
799 | deltaEzC(i,j) -= (gridSizeZ/3.0)*dezC(i,columns-1)/(-1) ; | |
800 | } | |
801 | if ( index == 2 ) { | |
802 | erOverEzA(i,j) += (gridSizeZ/3.0)*(0.5*erA(i,columns-2)-2.5*erA(i,columns-1))/(-1*ezField) ; | |
803 | erOverEzC(i,j) += (gridSizeZ/3.0)*(0.5*erC(i,columns-2)-2.5*erC(i,columns-1))/(-1*ezField) ; | |
804 | ephiOverEzA(i,j) += (gridSizeZ/3.0)*(0.5*ephiA(i,columns-2)-2.5*ephiA(i,columns-1))/(-1*ezField) ; | |
805 | ephiOverEzC(i,j) += (gridSizeZ/3.0)*(0.5*ephiC(i,columns-2)-2.5*ephiC(i,columns-1))/(-1*ezField) ; | |
806 | deltaEzA(i,j) += (gridSizeZ/3.0)*(0.5*dezA(i,columns-2)-2.5*dezA(i,columns-1))/(-1) ; | |
807 | deltaEzC(i,j) += (gridSizeZ/3.0)*(0.5*dezC(i,columns-2)-2.5*dezC(i,columns-1))/(-1) ; | |
808 | } | |
809 | if ( j == columns-2 ) { | |
810 | erOverEzA(i,j) = (gridSizeZ/3.0)*(1.5*erA(i,columns-2)+1.5*erA(i,columns-1))/(-1*ezField) ; | |
811 | erOverEzC(i,j) = (gridSizeZ/3.0)*(1.5*erC(i,columns-2)+1.5*erC(i,columns-1))/(-1*ezField) ; | |
812 | ephiOverEzA(i,j) = (gridSizeZ/3.0)*(1.5*ephiA(i,columns-2)+1.5*ephiA(i,columns-1))/(-1*ezField) ; | |
813 | ephiOverEzC(i,j) = (gridSizeZ/3.0)*(1.5*ephiC(i,columns-2)+1.5*ephiC(i,columns-1))/(-1*ezField) ; | |
814 | deltaEzA(i,j) = (gridSizeZ/3.0)*(1.5*dezA(i,columns-2)+1.5*dezA(i,columns-1))/(-1) ; | |
815 | deltaEzC(i,j) = (gridSizeZ/3.0)*(1.5*dezC(i,columns-2)+1.5*dezC(i,columns-1))/(-1) ; | |
816 | } | |
817 | if ( j == columns-1 ) { | |
818 | erOverEzA(i,j) = 0; | |
819 | erOverEzC(i,j) = 0; | |
820 | ephiOverEzA(i,j) = 0; | |
821 | ephiOverEzC(i,j) = 0; | |
822 | deltaEzA(i,j) = 0; | |
823 | deltaEzC(i,j) = 0; | |
824 | } | |
825 | } | |
826 | } | |
827 | ||
828 | } | |
829 | ||
830 | AliInfo("Step 2: Interpolation to Standard grid"); | |
831 | ||
832 | // ------------------------------------------------------------------------------- | |
833 | // Interpolate results onto the standard grid which is used for all AliTPCCorrections classes | |
834 | ||
835 | ||
836 | for ( Int_t k = 0 ; k < kNPhi ; k++ ) { | |
837 | Double_t phi = fgkPhiList[k] ; | |
838 | ||
839 | // final lookup table | |
2bf29b72 | 840 | TMatrixF &erOverEzFinal = *fLookUpErOverEz[k] ; |
841 | TMatrixF &ephiOverEzFinal = *fLookUpEphiOverEz[k]; | |
842 | TMatrixF &deltaEzFinal = *fLookUpDeltaEz[k] ; | |
15687d71 | 843 | |
844 | for ( Int_t j = 0 ; j < kNZ ; j++ ) { | |
845 | ||
846 | z = TMath::Abs(fgkZList[j]) ; // z position is symmetric | |
847 | ||
848 | for ( Int_t i = 0 ; i < kNR ; i++ ) { | |
849 | r = fgkRList[i] ; | |
850 | ||
851 | // Interpolate Lookup tables onto standard grid | |
852 | if (fgkZList[j]>0) { | |
853 | erOverEzFinal(i,j) += Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
854 | rlist2, zedlist2, philist2, arrayofEroverEzA2 ); | |
855 | ephiOverEzFinal(i,j) += Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
856 | rlist2, zedlist2, philist2, arrayofEphioverEzA2); | |
857 | deltaEzFinal(i,j) += Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
858 | rlist2, zedlist2, philist2, arrayofDeltaEzA2 ); | |
859 | } else { | |
860 | erOverEzFinal(i,j) += Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
861 | rlist2, zedlist2, philist2, arrayofEroverEzC2 ); | |
862 | ephiOverEzFinal(i,j) += Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
863 | rlist2, zedlist2, philist2, arrayofEphioverEzC2); | |
864 | deltaEzFinal(i,j) -= Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
865 | rlist2, zedlist2, philist2, arrayofDeltaEzC2 ); | |
866 | } | |
867 | ||
868 | } // end r loop | |
869 | } // end z loop | |
870 | } // end phi loop | |
871 | ||
872 | ||
873 | // clear the temporary arrays lists | |
874 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
875 | ||
876 | delete arrayofErA2[k]; | |
877 | delete arrayofEphiA2[k]; | |
878 | delete arrayofdEzA2[k]; | |
879 | delete arrayofErC2[k]; | |
880 | delete arrayofEphiC2[k]; | |
881 | delete arrayofdEzC2[k]; | |
882 | ||
883 | delete arrayofEroverEzA2[k]; | |
884 | delete arrayofEphioverEzA2[k]; | |
885 | delete arrayofDeltaEzA2[k]; | |
886 | delete arrayofEroverEzC2[k]; | |
887 | delete arrayofEphioverEzC2[k]; | |
888 | delete arrayofDeltaEzC2[k]; | |
889 | ||
890 | } | |
891 | ||
892 | fRPhi->Close(); | |
893 | ||
894 | // FINISHED | |
895 | ||
896 | fInitLookUp = kTRUE; | |
897 | ||
898 | } | |
899 | ||
900 | void AliTPCSpaceCharge3D::InitSpaceCharge3DDistortionCourse() { | |
cc3e558a | 901 | // |
902 | // Initialization of the Lookup table which contains the solutions of the | |
903 | // "space charge" (poisson) problem | |
904 | // | |
905 | // The sum-up uses a look-up table which contains different discretized Space charge fields | |
906 | // in order to calculate the corresponding field deviations due to a given (discretized) | |
907 | // space charge distribution .... | |
908 | // | |
15687d71 | 909 | // Method of calculation: Weighted sum-up of the different fields within the look up table |
910 | // Note: Full 3d version: Course and slow ... | |
cc3e558a | 911 | |
912 | if (fInitLookUp) { | |
913 | AliInfo("Lookup table was already initialized!"); | |
914 | // return; | |
915 | } | |
916 | ||
917 | AliInfo("Preparation of the weighted look-up table"); | |
918 | ||
15687d71 | 919 | TFile *f = new TFile(fSCLookUpPOCsFileName3D.Data(),"READ"); |
920 | if ( !f ) { | |
cc3e558a | 921 | AliError("Precalculated POC-looup-table could not be found"); |
922 | return; | |
923 | } | |
924 | ||
925 | // units are in [m] | |
926 | TVector *gridf = (TVector*) f->Get("constants"); | |
927 | TVector &grid = *gridf; | |
928 | TMatrix *coordf = (TMatrix*) f->Get("coordinates"); | |
929 | TMatrix &coord = *coordf; | |
930 | TMatrix *coordPOCf = (TMatrix*) f->Get("POCcoord"); | |
931 | TMatrix &coordPOC = *coordPOCf; | |
932 | ||
933 | Bool_t flagRadSym = 0; | |
934 | if (grid(1)==1 && grid(4)==1) { | |
15687d71 | 935 | // AliInfo("LOOK UP TABLE IS RADIAL SYMETTRIC - Field in Phi is ZERO"); |
cc3e558a | 936 | flagRadSym=1; |
937 | } | |
938 | ||
939 | Int_t rows = (Int_t)grid(0); // number of points in r direction | |
940 | Int_t phiSlices = (Int_t)grid(1); // number of points in phi | |
941 | Int_t columns = (Int_t)grid(2); // number of points in z direction | |
942 | ||
15687d71 | 943 | const Float_t gridSizeR = (fgkOFCRadius-fgkIFCRadius)/(rows-1); // unit in [cm] |
944 | const Float_t gridSizePhi = TMath::TwoPi()/phiSlices; // unit in [rad] | |
945 | const Float_t gridSizeZ = fgkTPCZ0/(columns-1); // unit in [cm] | |
cc3e558a | 946 | |
947 | // temporary matrices needed for the calculation | |
9f3b99e2 | 948 | TMatrixD *arrayofErA[kNPhiSlices], *arrayofEphiA[kNPhiSlices], *arrayofdEzA[kNPhiSlices]; |
949 | TMatrixD *arrayofErC[kNPhiSlices], *arrayofEphiC[kNPhiSlices], *arrayofdEzC[kNPhiSlices]; | |
cc3e558a | 950 | |
9f3b99e2 | 951 | TMatrixD *arrayofEroverEzA[kNPhiSlices], *arrayofEphioverEzA[kNPhiSlices], *arrayofDeltaEzA[kNPhiSlices]; |
952 | TMatrixD *arrayofEroverEzC[kNPhiSlices], *arrayofEphioverEzC[kNPhiSlices], *arrayofDeltaEzC[kNPhiSlices]; | |
cc3e558a | 953 | |
954 | ||
955 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
956 | ||
957 | arrayofErA[k] = new TMatrixD(rows,columns) ; | |
958 | arrayofEphiA[k] = new TMatrixD(rows,columns) ; // zero if radial symmetric | |
959 | arrayofdEzA[k] = new TMatrixD(rows,columns) ; | |
960 | arrayofErC[k] = new TMatrixD(rows,columns) ; | |
961 | arrayofEphiC[k] = new TMatrixD(rows,columns) ; // zero if radial symmetric | |
962 | arrayofdEzC[k] = new TMatrixD(rows,columns) ; | |
963 | ||
964 | arrayofEroverEzA[k] = new TMatrixD(rows,columns) ; | |
965 | arrayofEphioverEzA[k] = new TMatrixD(rows,columns) ; // zero if radial symmetric | |
966 | arrayofDeltaEzA[k] = new TMatrixD(rows,columns) ; | |
967 | arrayofEroverEzC[k] = new TMatrixD(rows,columns) ; | |
968 | arrayofEphioverEzC[k] = new TMatrixD(rows,columns) ; // zero if radial symmetric | |
969 | arrayofDeltaEzC[k] = new TMatrixD(rows,columns) ; | |
970 | ||
971 | // Set the values to zero the lookup tables | |
972 | // not necessary, it is done in the constructor of TMatrix - code deleted | |
973 | ||
974 | } | |
975 | ||
976 | // list of points as used in the interpolation (during sum up) | |
9f3b99e2 | 977 | Double_t rlist[kNRows], zedlist[kNColumns] , philist[kNPhiSlices]; |
cc3e558a | 978 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { |
979 | philist[k] = gridSizePhi * k; | |
980 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
981 | rlist[i] = fgkIFCRadius + i*gridSizeR ; | |
982 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
983 | zedlist[j] = j * gridSizeZ ; | |
984 | } | |
985 | } | |
986 | } // only done once | |
987 | ||
988 | ||
cc3e558a | 989 | TTree *treePOC = (TTree*)f->Get("POCall"); |
990 | ||
991 | TVector *bEr = 0; TVector *bEphi= 0; TVector *bEz = 0; | |
992 | ||
993 | treePOC->SetBranchAddress("Er",&bEr); | |
994 | if (!flagRadSym) treePOC->SetBranchAddress("Ephi",&bEphi); | |
995 | treePOC->SetBranchAddress("Ez",&bEz); | |
996 | ||
cc3e558a | 997 | |
998 | // Read the complete tree and do a weighted sum-up over the POC configurations | |
999 | // +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
1000 | ||
1001 | Int_t treeNumPOC = (Int_t)treePOC->GetEntries(); // Number of POC conf. in the look-up table | |
1002 | Int_t ipC = 0; // POC Conf. counter (note: different to the POC number in the tree!) | |
1003 | ||
15687d71 | 1004 | for (Int_t itreepC=0; itreepC<treeNumPOC; itreepC++) { // ------------- loop over POC configurations in tree |
cc3e558a | 1005 | |
cc3e558a | 1006 | treePOC->GetEntry(itreepC); |
1007 | ||
cc3e558a | 1008 | // center of the POC voxel in [meter] |
1009 | Double_t r0 = coordPOC(ipC,0); | |
1010 | Double_t phi0 = coordPOC(ipC,1); | |
1011 | Double_t z0 = coordPOC(ipC,2); | |
1012 | ||
15687d71 | 1013 | ipC++; // POC configuration counter |
cc3e558a | 1014 | |
1015 | // weights (charge density) at POC position on the A and C side (in C/m^3/e0) | |
1016 | // note: coordinates are in [cm] | |
15687d71 | 1017 | Double_t weightA = GetSpaceChargeDensity(r0*100,phi0, z0*100); |
cc3e558a | 1018 | Double_t weightC = GetSpaceChargeDensity(r0*100,phi0,-z0*100); |
1019 | ||
1020 | // Summing up the vector components according to their weight | |
1021 | ||
1022 | Int_t ip = 0; | |
1023 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
1024 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1025 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
1026 | ||
1027 | // check wether the coordinates were screwed | |
15687d71 | 1028 | if (TMath::Abs((coord(0,ip)*100-rlist[i]))>1 || |
1029 | TMath::Abs((coord(1,ip)-philist[k]))>1 || | |
1030 | TMath::Abs((coord(2,ip)*100-zedlist[j]))>1) { | |
cc3e558a | 1031 | AliError("internal error: coordinate system was screwed during the sum-up"); |
9f3b99e2 | 1032 | printf("lookup: (r,phi,z)=(%f,%f,%f)\n",coord(0,ip)*100,coord(1,ip),coord(2,ip)*100); |
1033 | printf("sum-up: (r,phi,z)=(%f,%f,%f)\n",rlist[i],philist[k],zedlist[j]); | |
15687d71 | 1034 | AliError("Don't trust the results of the space charge calculation!"); |
cc3e558a | 1035 | } |
1036 | ||
1037 | // unfortunately, the lookup tables were produced to be faster for phi symmetric charges | |
1038 | // This will be the most frequent usage (hopefully) | |
1039 | // That's why we have to do this here ... | |
1040 | ||
1041 | TMatrixD &erA = *arrayofErA[k] ; | |
1042 | TMatrixD &ephiA = *arrayofEphiA[k]; | |
15687d71 | 1043 | TMatrixD &dEzA = *arrayofdEzA[k] ; |
cc3e558a | 1044 | |
1045 | TMatrixD &erC = *arrayofErC[k] ; | |
1046 | TMatrixD &ephiC = *arrayofEphiC[k]; | |
15687d71 | 1047 | TMatrixD &dEzC = *arrayofdEzC[k] ; |
cc3e558a | 1048 | |
1049 | // Sum up - Efield values in [V/m] -> transition to [V/cm] | |
1050 | erA(i,j) += ((*bEr)(ip)) * weightA /100; | |
1051 | erC(i,j) += ((*bEr)(ip)) * weightC /100; | |
1052 | if (!flagRadSym) { | |
15687d71 | 1053 | ephiA(i,j) += ((*bEphi)(ip)) * weightA/100; // [V/rad] |
1054 | ephiC(i,j) += ((*bEphi)(ip)) * weightC/100; // [V/rad] | |
cc3e558a | 1055 | } |
1056 | dEzA(i,j) += ((*bEz)(ip)) * weightA /100; | |
1057 | dEzC(i,j) += ((*bEz)(ip)) * weightC /100; | |
1058 | ||
1059 | // increase the counter | |
1060 | ip++; | |
1061 | } | |
1062 | } | |
15687d71 | 1063 | } // end coordinate loop |
1064 | ||
cc3e558a | 1065 | |
1066 | // Rotation and summation in the rest of the dPhiSteps | |
15687d71 | 1067 | // which were not stored in the this tree due to storage & symmetry reasons |
cc3e558a | 1068 | |
1069 | Int_t phiPoints = (Int_t) grid(1); | |
1070 | Int_t phiPOC = (Int_t) grid(4); | |
1071 | ||
15687d71 | 1072 | // printf("%d %d\n",phiPOC,flagRadSym); |
cc3e558a | 1073 | |
15687d71 | 1074 | for (Int_t phiiC = 1; phiiC<phiPOC; phiiC++) { // just used for non-radial symetric table |
cc3e558a | 1075 | |
1076 | r0 = coordPOC(ipC,0); | |
1077 | phi0 = coordPOC(ipC,1); | |
1078 | z0 = coordPOC(ipC,2); | |
1079 | ||
1080 | ipC++; // POC conf. counter | |
1081 | ||
1082 | // weights (charge density) at POC position on the A and C side (in C/m^3/e0) | |
1083 | // note: coordinates are in [cm] | |
1084 | weightA = GetSpaceChargeDensity(r0*100,phi0, z0*100); | |
1085 | weightC = GetSpaceChargeDensity(r0*100,phi0,-z0*100); | |
1086 | ||
9f3b99e2 | 1087 | // printf("%f %f %f: %e %e\n",r0,phi0,z0,weightA,weightC); |
15687d71 | 1088 | |
cc3e558a | 1089 | // Summing up the vector components according to their weight |
1090 | ip = 0; | |
1091 | for ( Int_t j = 0 ; j < columns ; j++ ) { | |
1092 | for ( Int_t i = 0 ; i < rows ; i++ ) { | |
1093 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
1094 | ||
1095 | // Note: rotating the coordinated during the sum up | |
1096 | ||
1097 | Int_t rotVal = (phiPoints/phiPOC)*phiiC; | |
1098 | Int_t ipR = -1; | |
1099 | ||
1100 | if ((ip%phiPoints)>=rotVal) { | |
1101 | ipR = ip-rotVal; | |
1102 | } else { | |
1103 | ipR = ip+(phiPoints-rotVal); | |
1104 | } | |
1105 | ||
1106 | // unfortunately, the lookup tables were produced to be faster for phi symmetric charges | |
15687d71 | 1107 | // This will be the most frequent usage |
cc3e558a | 1108 | // That's why we have to do this here and not outside the loop ... |
1109 | ||
1110 | TMatrixD &erA = *arrayofErA[k] ; | |
1111 | TMatrixD &ephiA = *arrayofEphiA[k]; | |
1112 | TMatrixD &dEzA = *arrayofdEzA[k] ; | |
1113 | ||
1114 | TMatrixD &erC = *arrayofErC[k] ; | |
1115 | TMatrixD &ephiC = *arrayofEphiC[k]; | |
1116 | TMatrixD &dEzC = *arrayofdEzC[k] ; | |
1117 | ||
1118 | // Sum up - Efield values in [V/m] -> transition to [V/cm] | |
1119 | erA(i,j) += ((*bEr)(ipR)) * weightA /100; | |
1120 | erC(i,j) += ((*bEr)(ipR)) * weightC /100; | |
1121 | if (!flagRadSym) { | |
15687d71 | 1122 | ephiA(i,j) += ((*bEphi)(ipR)) * weightA/100; // [V/rad] |
1123 | ephiC(i,j) += ((*bEphi)(ipR)) * weightC/100; // [V/rad] | |
cc3e558a | 1124 | } |
1125 | dEzA(i,j) += ((*bEz)(ipR)) * weightA /100; | |
1126 | dEzC(i,j) += ((*bEz)(ipR)) * weightC /100; | |
1127 | ||
1128 | // increase the counter | |
1129 | ip++; | |
1130 | } | |
1131 | } | |
1132 | } // end coordinate loop | |
1133 | ||
1134 | } // end phi-POC summation (phiiC) | |
1135 | ||
1136 | ||
9f3b99e2 | 1137 | // printf("POC: (r,phi,z) = (%f %f %f) | weight(A,C): %03.1lf %03.1lf\n",r0,phi0,z0, weightA, weightC); |
15687d71 | 1138 | |
1139 | } | |
1140 | ||
cc3e558a | 1141 | |
cc3e558a | 1142 | |
1143 | // ------------------------------------------------------------------------------- | |
1144 | // Division by the Ez (drift) field and integration along z | |
1145 | ||
15687d71 | 1146 | AliInfo("Division and integration"); |
1147 | ||
cc3e558a | 1148 | Double_t ezField = (fgkCathodeV-fgkGG)/fgkTPCZ0; // = Electric Field (V/cm) Magnitude ~ -400 V/cm; |
1149 | ||
1150 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { // phi loop | |
1151 | ||
15687d71 | 1152 | // matrices holding the solution - summation of POC charges // see above |
cc3e558a | 1153 | TMatrixD &erA = *arrayofErA[k] ; |
1154 | TMatrixD &ephiA = *arrayofEphiA[k]; | |
1155 | TMatrixD &dezA = *arrayofdEzA[k] ; | |
1156 | TMatrixD &erC = *arrayofErC[k] ; | |
1157 | TMatrixD &ephiC = *arrayofEphiC[k]; | |
1158 | TMatrixD &dezC = *arrayofdEzC[k] ; | |
1159 | ||
15687d71 | 1160 | // matrices which will contain the integrated fields (divided by the drift field) |
cc3e558a | 1161 | TMatrixD &erOverEzA = *arrayofEroverEzA[k] ; |
1162 | TMatrixD &ephiOverEzA = *arrayofEphioverEzA[k]; | |
1163 | TMatrixD &deltaEzA = *arrayofDeltaEzA[k]; | |
1164 | TMatrixD &erOverEzC = *arrayofEroverEzC[k] ; | |
1165 | TMatrixD &ephiOverEzC = *arrayofEphioverEzC[k]; | |
1166 | TMatrixD &deltaEzC = *arrayofDeltaEzC[k]; | |
1167 | ||
1168 | for ( Int_t i = 0 ; i < rows ; i++ ) { // r loop | |
1169 | for ( Int_t j = columns-1 ; j >= 0 ; j-- ) {// z loop | |
1170 | // Count backwards to facilitate integration over Z | |
1171 | ||
1172 | Int_t index = 1 ; // Simpsons rule if N=odd.If N!=odd then add extra point by trapezoidal rule. | |
1173 | ||
1174 | erOverEzA(i,j) = 0; ephiOverEzA(i,j) = 0; deltaEzA(i,j) = 0; | |
1175 | erOverEzC(i,j) = 0; ephiOverEzC(i,j) = 0; deltaEzC(i,j) = 0; | |
1176 | ||
1177 | for ( Int_t m = j ; m < columns ; m++ ) { // integration | |
1178 | ||
1179 | erOverEzA(i,j) += index*(gridSizeZ/3.0)*erA(i,m)/(-1*ezField) ; | |
1180 | erOverEzC(i,j) += index*(gridSizeZ/3.0)*erC(i,m)/(-1*ezField) ; | |
1181 | if (!flagRadSym) { | |
1182 | ephiOverEzA(i,j) += index*(gridSizeZ/3.0)*ephiA(i,m)/(-1*ezField) ; | |
1183 | ephiOverEzC(i,j) += index*(gridSizeZ/3.0)*ephiC(i,m)/(-1*ezField) ; | |
1184 | } | |
15687d71 | 1185 | deltaEzA(i,j) += index*(gridSizeZ/3.0)*dezA(i,m)/(-1) ; |
1186 | deltaEzC(i,j) += index*(gridSizeZ/3.0)*dezC(i,m)/(-1) ; | |
cc3e558a | 1187 | |
1188 | if ( index != 4 ) index = 4; else index = 2 ; | |
1189 | ||
1190 | } | |
1191 | ||
1192 | if ( index == 4 ) { | |
1193 | erOverEzA(i,j) -= (gridSizeZ/3.0)*erA(i,columns-1)/(-1*ezField) ; | |
1194 | erOverEzC(i,j) -= (gridSizeZ/3.0)*erC(i,columns-1)/(-1*ezField) ; | |
1195 | if (!flagRadSym) { | |
1196 | ephiOverEzA(i,j) -= (gridSizeZ/3.0)*ephiA(i,columns-1)/(-1*ezField) ; | |
1197 | ephiOverEzC(i,j) -= (gridSizeZ/3.0)*ephiC(i,columns-1)/(-1*ezField) ; | |
1198 | } | |
15687d71 | 1199 | deltaEzA(i,j) -= (gridSizeZ/3.0)*dezA(i,columns-1)/(-1) ; |
1200 | deltaEzC(i,j) -= (gridSizeZ/3.0)*dezC(i,columns-1)/(-1) ; | |
cc3e558a | 1201 | } |
1202 | if ( index == 2 ) { | |
1203 | erOverEzA(i,j) += (gridSizeZ/3.0)*(0.5*erA(i,columns-2)-2.5*erA(i,columns-1))/(-1*ezField) ; | |
1204 | erOverEzC(i,j) += (gridSizeZ/3.0)*(0.5*erC(i,columns-2)-2.5*erC(i,columns-1))/(-1*ezField) ; | |
1205 | if (!flagRadSym) { | |
1206 | ephiOverEzA(i,j) += (gridSizeZ/3.0)*(0.5*ephiA(i,columns-2)-2.5*ephiA(i,columns-1))/(-1*ezField) ; | |
1207 | ephiOverEzC(i,j) += (gridSizeZ/3.0)*(0.5*ephiC(i,columns-2)-2.5*ephiC(i,columns-1))/(-1*ezField) ; | |
1208 | } | |
15687d71 | 1209 | deltaEzA(i,j) += (gridSizeZ/3.0)*(0.5*dezA(i,columns-2)-2.5*dezA(i,columns-1))/(-1) ; |
1210 | deltaEzC(i,j) += (gridSizeZ/3.0)*(0.5*dezC(i,columns-2)-2.5*dezC(i,columns-1))/(-1) ; | |
cc3e558a | 1211 | } |
1212 | if ( j == columns-2 ) { | |
1213 | erOverEzA(i,j) = (gridSizeZ/3.0)*(1.5*erA(i,columns-2)+1.5*erA(i,columns-1))/(-1*ezField) ; | |
1214 | erOverEzC(i,j) = (gridSizeZ/3.0)*(1.5*erC(i,columns-2)+1.5*erC(i,columns-1))/(-1*ezField) ; | |
1215 | if (!flagRadSym) { | |
1216 | ephiOverEzA(i,j) = (gridSizeZ/3.0)*(1.5*ephiA(i,columns-2)+1.5*ephiA(i,columns-1))/(-1*ezField) ; | |
1217 | ephiOverEzC(i,j) = (gridSizeZ/3.0)*(1.5*ephiC(i,columns-2)+1.5*ephiC(i,columns-1))/(-1*ezField) ; | |
1218 | } | |
15687d71 | 1219 | deltaEzA(i,j) = (gridSizeZ/3.0)*(1.5*dezA(i,columns-2)+1.5*dezA(i,columns-1))/(-1) ; |
1220 | deltaEzC(i,j) = (gridSizeZ/3.0)*(1.5*dezC(i,columns-2)+1.5*dezC(i,columns-1))/(-1) ; | |
cc3e558a | 1221 | } |
1222 | if ( j == columns-1 ) { | |
15687d71 | 1223 | erOverEzA(i,j) = 0; |
1224 | erOverEzC(i,j) = 0; | |
cc3e558a | 1225 | if (!flagRadSym) { |
15687d71 | 1226 | ephiOverEzA(i,j) = 0; |
1227 | ephiOverEzC(i,j) = 0; | |
cc3e558a | 1228 | } |
15687d71 | 1229 | deltaEzA(i,j) = 0; |
1230 | deltaEzC(i,j) = 0; | |
cc3e558a | 1231 | } |
1232 | } | |
1233 | } | |
1234 | ||
1235 | } | |
1236 | ||
15687d71 | 1237 | |
1238 | ||
cc3e558a | 1239 | AliInfo("Interpolation to Standard grid"); |
1240 | ||
1241 | // ------------------------------------------------------------------------------- | |
15687d71 | 1242 | // Interpolate results onto the standard grid which is used for all AliTPCCorrections classes |
cc3e558a | 1243 | |
1244 | const Int_t order = 1 ; // Linear interpolation = 1, Quadratic = 2 | |
1245 | ||
1246 | Double_t r, phi, z ; | |
1247 | for ( Int_t k = 0 ; k < kNPhi ; k++ ) { | |
1248 | phi = fgkPhiList[k] ; | |
1249 | ||
2bf29b72 | 1250 | TMatrixF &erOverEz = *fLookUpErOverEz[k] ; |
1251 | TMatrixF &ephiOverEz = *fLookUpEphiOverEz[k]; | |
1252 | TMatrixF &deltaEz = *fLookUpDeltaEz[k] ; | |
cc3e558a | 1253 | |
1254 | for ( Int_t j = 0 ; j < kNZ ; j++ ) { | |
1255 | ||
1256 | z = TMath::Abs(fgkZList[j]) ; // z position is symmetric | |
1257 | ||
1258 | for ( Int_t i = 0 ; i < kNR ; i++ ) { | |
1259 | r = fgkRList[i] ; | |
1260 | ||
1261 | // Interpolate Lookup tables onto standard grid | |
1262 | if (fgkZList[j]>0) { | |
1263 | erOverEz(i,j) = Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
1264 | rlist, zedlist, philist, arrayofEroverEzA ); | |
1265 | ephiOverEz(i,j) = Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
1266 | rlist, zedlist, philist, arrayofEphioverEzA); | |
1267 | deltaEz(i,j) = Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
1268 | rlist, zedlist, philist, arrayofDeltaEzA ); | |
1269 | } else { | |
1270 | erOverEz(i,j) = Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
1271 | rlist, zedlist, philist, arrayofEroverEzC ); | |
1272 | ephiOverEz(i,j) = Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
1273 | rlist, zedlist, philist, arrayofEphioverEzC); | |
1274 | deltaEz(i,j) = - Interpolate3DTable(order, r, z, phi, rows, columns, phiSlices, | |
1275 | rlist, zedlist, philist, arrayofDeltaEzC ); | |
1276 | // negative coordinate system on C side | |
1277 | } | |
1278 | ||
1279 | } // end r loop | |
1280 | } // end z loop | |
1281 | } // end phi loop | |
1282 | ||
15687d71 | 1283 | |
cc3e558a | 1284 | // clear the temporary arrays lists |
1285 | for ( Int_t k = 0 ; k < phiSlices ; k++ ) { | |
1286 | ||
1287 | delete arrayofErA[k]; | |
1288 | delete arrayofEphiA[k]; | |
1289 | delete arrayofdEzA[k]; | |
1290 | delete arrayofErC[k]; | |
1291 | delete arrayofEphiC[k]; | |
1292 | delete arrayofdEzC[k]; | |
1293 | ||
1294 | delete arrayofEroverEzA[k]; | |
1295 | delete arrayofEphioverEzA[k]; | |
1296 | delete arrayofDeltaEzA[k]; | |
1297 | delete arrayofEroverEzC[k]; | |
1298 | delete arrayofEphioverEzC[k]; | |
1299 | delete arrayofDeltaEzC[k]; | |
1300 | ||
1301 | } | |
1302 | ||
cc3e558a | 1303 | fInitLookUp = kTRUE; |
1304 | ||
1305 | } | |
1306 | ||
1307 | ||
15687d71 | 1308 | void AliTPCSpaceCharge3D::SetSCDataFileName(TString fname) { |
cc3e558a | 1309 | // |
1310 | // Set & load the Space charge density distribution from a file | |
1311 | // (linear interpolation onto a standard grid) | |
1312 | // | |
1313 | ||
15687d71 | 1314 | |
cc3e558a | 1315 | fSCDataFileName = fname; |
1316 | ||
15687d71 | 1317 | TFile *f = new TFile(fSCDataFileName.Data(),"READ"); |
cc3e558a | 1318 | if (!f) { |
1319 | AliError(Form("File %s, which should contain the space charge distribution, could not be found", | |
15687d71 | 1320 | fSCDataFileName.Data())); |
cc3e558a | 1321 | return; |
1322 | } | |
1323 | ||
15687d71 | 1324 | TH2F *densityRZ = (TH2F*) f->Get("SpaceChargeInRZ"); |
1325 | if (!densityRZ) { | |
cc3e558a | 1326 | AliError(Form("The indicated file (%s) does not contain a histogram called %s", |
15687d71 | 1327 | fSCDataFileName.Data(),"SpaceChargeInRZ")); |
1328 | return; | |
1329 | } | |
1330 | ||
1331 | TH3F *densityRPhi = (TH3F*) f->Get("SpaceChargeInRPhi"); | |
1332 | if (!densityRPhi) { | |
1333 | AliError(Form("The indicated file (%s) does not contain a histogram called %s", | |
1334 | fSCDataFileName.Data(),"SpaceChargeInRPhi")); | |
cc3e558a | 1335 | return; |
1336 | } | |
1337 | ||
1338 | ||
1339 | Double_t r, phi, z ; | |
15687d71 | 1340 | |
1341 | TMatrixD &scDensityInRZ = *fSCdensityInRZ; | |
1342 | TMatrixD &scDensityInRPhiA = *fSCdensityInRPhiA; | |
1343 | TMatrixD &scDensityInRPhiC = *fSCdensityInRPhiC; | |
cc3e558a | 1344 | for ( Int_t k = 0 ; k < kNPhi ; k++ ) { |
1345 | phi = fgkPhiList[k] ; | |
2bf29b72 | 1346 | TMatrixF &scDensity = *fSCdensityDistribution[k] ; |
cc3e558a | 1347 | for ( Int_t j = 0 ; j < kNZ ; j++ ) { |
15687d71 | 1348 | z = fgkZList[j] ; |
cc3e558a | 1349 | for ( Int_t i = 0 ; i < kNR ; i++ ) { |
1350 | r = fgkRList[i] ; | |
15687d71 | 1351 | |
1352 | // partial load in (r,z) | |
1353 | if (k==0) // do just once | |
1354 | scDensityInRZ(i,j) = densityRZ->Interpolate(r,z); | |
1355 | ||
1356 | // partial load in (r,phi) | |
1357 | if ( j==0 || j == kNZ/2 ) { | |
1358 | if (z>0) | |
1359 | scDensityInRPhiA(i,k) = densityRPhi->Interpolate(r,phi,0.499); // A side | |
1360 | else | |
1361 | scDensityInRPhiC(i,k) = densityRPhi->Interpolate(r,phi,-0.499); // C side | |
1362 | } | |
1363 | ||
1364 | // Full 3D configuration ... | |
1365 | if (z>0) | |
1366 | scDensity(i,j) = scDensityInRZ(i,j) + scDensityInRPhiA(i,k); | |
1367 | else | |
1368 | scDensity(i,j) = scDensityInRZ(i,j) + scDensityInRPhiC(i,k); | |
cc3e558a | 1369 | } |
1370 | } | |
1371 | } | |
1372 | ||
cc3e558a | 1373 | f->Close(); |
1374 | ||
1375 | fInitLookUp = kFALSE; | |
1376 | ||
1377 | ||
1378 | } | |
1379 | ||
1380 | ||
15687d71 | 1381 | Float_t AliTPCSpaceCharge3D::GetSpaceChargeDensity(Float_t r, Float_t phi, Float_t z, Int_t mode) { |
cc3e558a | 1382 | // |
1383 | // returns the (input) space charge density at a given point according | |
1384 | // Note: input in [cm], output in [C/m^3/e0] !! | |
1385 | // | |
1386 | ||
cc3e558a | 1387 | while (phi<0) phi += TMath::TwoPi(); |
1388 | while (phi>TMath::TwoPi()) phi -= TMath::TwoPi(); | |
1389 | ||
1390 | ||
1391 | // Float_t sc =fSCdensityDistribution->Interpolate(r0,phi0,z0); | |
1392 | Int_t order = 1; // | |
15687d71 | 1393 | Float_t sc = 0; |
cc3e558a | 1394 | |
15687d71 | 1395 | if (mode == 0) { // return full load |
1396 | sc = Interpolate3DTable(order, r, z, phi, kNR, kNZ, kNPhi, | |
1397 | fgkRList, fgkZList, fgkPhiList, fSCdensityDistribution ); | |
1398 | ||
1399 | } else if (mode == 1) { // return partial load in (r,z) | |
1400 | TMatrixD &scDensityInRZ = *fSCdensityInRZ; | |
1401 | sc = Interpolate2DTable(order, r, z, kNR, kNZ, fgkRList, fgkZList, scDensityInRZ ); | |
1402 | ||
1403 | } else if (mode == 2) { // return partial load in (r,phi) | |
1404 | ||
1405 | if (z>0) { | |
1406 | TMatrixD &scDensityInRPhi = *fSCdensityInRPhiA; | |
1407 | sc = Interpolate2DTable(order, r, phi, kNR, kNPhi, fgkRList, fgkPhiList, scDensityInRPhi ); | |
1408 | } else { | |
1409 | TMatrixD &scDensityInRPhi = *fSCdensityInRPhiC; | |
1410 | sc = Interpolate2DTable(order, r, phi, kNR, kNPhi, fgkRList, fgkPhiList, scDensityInRPhi ); | |
1411 | } | |
1412 | ||
1413 | } else { | |
1414 | // should i give a warning? | |
1415 | sc = 0; | |
1416 | } | |
1417 | ||
9f3b99e2 | 1418 | // printf("%f %f %f: %f\n",r,phi,z,sc); |
cc3e558a | 1419 | |
1420 | return sc; | |
1421 | } | |
1422 | ||
1423 | ||
15687d71 | 1424 | TH2F * AliTPCSpaceCharge3D::CreateHistoSCinXY(Float_t z, Int_t nx, Int_t ny, Int_t mode) { |
cc3e558a | 1425 | // |
1426 | // return a simple histogramm containing the space charge distribution (input for the calculation) | |
1427 | // | |
1428 | ||
1429 | TH2F *h=CreateTH2F("spaceCharge",GetTitle(),"x [cm]","y [cm]","#rho_{sc} [C/m^{3}/e_{0}]", | |
1430 | nx,-250.,250.,ny,-250.,250.); | |
1431 | ||
1432 | for (Int_t iy=1;iy<=ny;++iy) { | |
1433 | Double_t yp = h->GetYaxis()->GetBinCenter(iy); | |
1434 | for (Int_t ix=1;ix<=nx;++ix) { | |
1435 | Double_t xp = h->GetXaxis()->GetBinCenter(ix); | |
1436 | ||
1437 | Float_t r = TMath::Sqrt(xp*xp+yp*yp); | |
1438 | Float_t phi = TMath::ATan2(yp,xp); | |
1439 | ||
1440 | if (85.<=r && r<=250.) { | |
15687d71 | 1441 | Float_t sc = GetSpaceChargeDensity(r,phi,z,mode)/fgke0; // in [C/m^3/e0] |
cc3e558a | 1442 | h->SetBinContent(ix,iy,sc); |
1443 | } else { | |
1444 | h->SetBinContent(ix,iy,0.); | |
1445 | } | |
1446 | } | |
1447 | } | |
1448 | ||
1449 | return h; | |
1450 | } | |
1451 | ||
15687d71 | 1452 | TH2F * AliTPCSpaceCharge3D::CreateHistoSCinZR(Float_t phi, Int_t nz, Int_t nr,Int_t mode ) { |
cc3e558a | 1453 | // |
1454 | // return a simple histogramm containing the space charge distribution (input for the calculation) | |
1455 | // | |
1456 | ||
1457 | TH2F *h=CreateTH2F("spaceCharge",GetTitle(),"z [cm]","r [cm]","#rho_{sc} [C/m^{3}/e_{0}]", | |
1458 | nz,-250.,250.,nr,85.,250.); | |
1459 | ||
1460 | for (Int_t ir=1;ir<=nr;++ir) { | |
1461 | Float_t r = h->GetYaxis()->GetBinCenter(ir); | |
1462 | for (Int_t iz=1;iz<=nz;++iz) { | |
1463 | Float_t z = h->GetXaxis()->GetBinCenter(iz); | |
15687d71 | 1464 | Float_t sc = GetSpaceChargeDensity(r,phi,z,mode)/fgke0; // in [C/m^3/e0] |
cc3e558a | 1465 | h->SetBinContent(iz,ir,sc); |
1466 | } | |
1467 | } | |
1468 | ||
1469 | return h; | |
1470 | } | |
1471 | ||
1472 | void AliTPCSpaceCharge3D::WriteChargeDistributionToFile(const char* fname) { | |
1473 | // | |
1474 | // Example on how to write a Space charge distribution into a File | |
1475 | // (see below: estimate from scaling STAR measurements to Alice) | |
15687d71 | 1476 | // Charge distribution is splitted into two (RZ and RPHI) in order to speed up |
1477 | // the needed calculation time | |
cc3e558a | 1478 | // |
1479 | ||
1480 | TFile *f = new TFile(fname,"RECREATE"); | |
15687d71 | 1481 | |
cc3e558a | 1482 | // some grid, not too course |
15687d71 | 1483 | Int_t nr = 350; |
cc3e558a | 1484 | Int_t nphi = 180; |
15687d71 | 1485 | Int_t nz = 500; |
cc3e558a | 1486 | |
1487 | Double_t dr = (fgkOFCRadius-fgkIFCRadius)/(nr+1); | |
1488 | Double_t dphi = TMath::TwoPi()/(nphi+1); | |
1489 | Double_t dz = 500./(nz+1); | |
1490 | Double_t safty = 0.; // due to a root bug which does not interpolate the boundary (first and last bin) correctly | |
1491 | ||
15687d71 | 1492 | |
1493 | // Charge distribution in ZR (rotational symmetric) ------------------ | |
1494 | ||
1495 | TH2F *histoZR = new TH2F("chargeZR","chargeZR", | |
1496 | nr,fgkIFCRadius-dr-safty,fgkOFCRadius+dr+safty, | |
1497 | nz,-250-dz-safty,250+dz+safty); | |
cc3e558a | 1498 | |
1499 | for (Int_t ir=1;ir<=nr;++ir) { | |
15687d71 | 1500 | Double_t rp = histoZR->GetXaxis()->GetBinCenter(ir); |
1501 | for (Int_t iz=1;iz<=nz;++iz) { | |
1502 | Double_t zp = histoZR->GetYaxis()->GetBinCenter(iz); | |
1503 | ||
1504 | // recalculation to meter | |
1505 | Double_t lZ = 2.5; // approx. TPC drift length | |
1506 | Double_t rpM = rp/100.; // in [m] | |
1507 | Double_t zpM = TMath::Abs(zp/100.); // in [m] | |
1508 | ||
1509 | // setting of mb multiplicity and Interaction rate | |
1510 | Double_t multiplicity = 950; | |
1511 | Double_t intRate = 7800; | |
cc3e558a | 1512 | |
15687d71 | 1513 | // calculation of "scaled" parameters |
1514 | Double_t a = multiplicity*intRate/79175; | |
1515 | Double_t b = a/lZ; | |
1516 | ||
1517 | Double_t charge = (a - b*zpM)/(rpM*rpM); // charge in [C/m^3/e0] | |
cc3e558a | 1518 | |
15687d71 | 1519 | charge = charge*fgke0; // [C/m^3] |
cc3e558a | 1520 | |
15687d71 | 1521 | if (zp<0) charge *= 0.9; // e.g. slightly less on C side due to front absorber |
cc3e558a | 1522 | |
15687d71 | 1523 | // charge = 0; // for tests |
1524 | histoZR->SetBinContent(ir,iz,charge); | |
1525 | } | |
1526 | } | |
1527 | ||
1528 | histoZR->Write("SpaceChargeInRZ"); | |
1529 | ||
1530 | ||
1531 | // Charge distribution in RPhi (e.g. Floating GG wire) ------------ | |
1532 | ||
1533 | TH3F *histoRPhi = new TH3F("chargeRPhi","chargeRPhi", | |
1534 | nr,fgkIFCRadius-dr-safty,fgkOFCRadius+dr+safty, | |
1535 | nphi,0-dphi-safty,TMath::TwoPi()+dphi+safty, | |
1536 | 2,-1,1); // z part - to allow A and C side differences | |
1537 | ||
1538 | // some 'arbitrary' GG leaks | |
1539 | Int_t nGGleaks = 5; | |
1540 | Double_t secPosA[5] = {3,6,6,11,13}; // sector | |
752b0cc7 | 1541 | Double_t radialPosA[5] = {125,100,160,200,230}; // radius in cm |
1542 | Double_t secPosC[5] = {1,8,12,15,15}; // sector | |
1543 | Double_t radialPosC[5] = {245,120,140,120,190}; // radius in cm | |
15687d71 | 1544 | |
1545 | for (Int_t ir=1;ir<=nr;++ir) { | |
1546 | Double_t rp = histoRPhi->GetXaxis()->GetBinCenter(ir); | |
1547 | for (Int_t iphi=1;iphi<=nphi;++iphi) { | |
1548 | Double_t phip = histoRPhi->GetYaxis()->GetBinCenter(iphi); | |
1549 | for (Int_t iz=1;iz<=2;++iz) { | |
1550 | Double_t zp = histoRPhi->GetZaxis()->GetBinCenter(iz); | |
cc3e558a | 1551 | |
15687d71 | 1552 | Double_t charge = 0; |
1553 | ||
1554 | for (Int_t igg = 0; igg<nGGleaks; igg++) { // loop over GG leaks | |
1555 | ||
1556 | // A side | |
1557 | Double_t secPos = secPosA[igg]; | |
1558 | Double_t radialPos = radialPosA[igg]; | |
1559 | ||
1560 | if (zp<0) { // C side | |
1561 | secPos = secPosC[igg]; | |
1562 | radialPos = radialPosC[igg]; | |
1563 | } | |
1564 | ||
1565 | // some 'arbitrary' GG leaks | |
1566 | if ( (phip<(TMath::Pi()/9*(secPos+1)) && phip>(TMath::Pi()/9*secPos) ) ) { // sector slice | |
1567 | if ( rp>(radialPos-2.5) && rp<(radialPos+2.5)) // 5 cm slice | |
1568 | charge = 300; | |
1569 | } | |
1570 | ||
1571 | } | |
cc3e558a | 1572 | |
cc3e558a | 1573 | charge = charge*fgke0; // [C/m^3] |
1574 | ||
15687d71 | 1575 | histoRPhi->SetBinContent(ir,iphi,iz,charge); |
cc3e558a | 1576 | } |
1577 | } | |
1578 | } | |
1579 | ||
15687d71 | 1580 | histoRPhi->Write("SpaceChargeInRPhi"); |
cc3e558a | 1581 | |
cc3e558a | 1582 | f->Close(); |
1583 | ||
1584 | } | |
1585 | ||
1586 | ||
1587 | void AliTPCSpaceCharge3D::Print(const Option_t* option) const { | |
1588 | // | |
1589 | // Print function to check the settings of the boundary vectors | |
1590 | // option=="a" prints the C0 and C1 coefficents for calibration purposes | |
1591 | // | |
1592 | ||
1593 | TString opt = option; opt.ToLower(); | |
1594 | printf("%s\n",GetTitle()); | |
1595 | printf(" - Space Charge effect with arbitrary 3D charge density (as input).\n"); | |
1596 | printf(" SC correction factor: %f \n",fCorrectionFactor); | |
1597 | ||
1598 | if (opt.Contains("a")) { // Print all details | |
1599 | printf(" - T1: %1.4f, T2: %1.4f \n",fT1,fT2); | |
1600 | printf(" - C1: %1.4f, C0: %1.4f \n",fC1,fC0); | |
1601 | } | |
1602 | ||
1603 | if (!fInitLookUp) AliError("Lookup table was not initialized! You should do InitSpaceCharge3DDistortion() ..."); | |
1604 | ||
1605 | } |