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