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[u/mrichter/AliRoot.git] / MFT / AliMFTAnalysisTools.cxx
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bffc7f8c 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
16//====================================================================================================================================================
17//
18// Support class for various common operation on MFT objects
19//
20// Contact author: antonio.uras@cern.ch
21//
22//====================================================================================================================================================
23
24#include "AliMUONTrackParam.h"
25#include "AliMUONTrackExtrap.h"
26#include "AliAODTrack.h"
27#include "AliAODDimuon.h"
28#include "TLorentzVector.h"
29#include "AliMFTConstants.h"
30#include "TDatabasePDG.h"
31#include "TMath.h"
32#include "AliLog.h"
19393921 33#include "TObjArray.h"
bffc7f8c 34
35#include "AliMFTAnalysisTools.h"
36
37ClassImp(AliMFTAnalysisTools)
38
39//====================================================================================================================================================
40
41Bool_t AliMFTAnalysisTools::ExtrapAODMuonToZ(AliAODTrack *muon, Double_t z, Double_t xy[2]) {
42
43 if (!(muon->Pz()!=0)) return kFALSE;
44
45 AliMUONTrackParam *param = new AliMUONTrackParam();
46
47 param -> SetNonBendingCoor(muon->XAtDCA());
48 param -> SetBendingCoor(muon->YAtDCA());
49 param -> SetZ(AliMFTConstants::fZEvalKinem);
50 param -> SetNonBendingSlope(muon->Px()/muon->Pz());
51 param -> SetBendingSlope(muon->Py()/muon->Pz());
52 param -> SetInverseBendingMomentum( muon->Charge() * (1./muon->Pz()) / (TMath::Sqrt(1+TMath::Power(muon->Py()/muon->Pz(),2))) );
53
54 AliMUONTrackExtrap::ExtrapToZ(param, z);
55 xy[0] = param->GetNonBendingCoor();
56 xy[1] = param->GetBendingCoor();
57
58 delete param;
59
60 return kTRUE;
61
62}
63
64//====================================================================================================================================================
65
66Bool_t AliMFTAnalysisTools::ExtrapAODMuonToZ(AliAODTrack *muon, Double_t z, Double_t xy[2], TLorentzVector &kinem) {
67
68 if (!(muon->Pz()!=0)) return kFALSE;
69
70 AliMUONTrackParam *param = new AliMUONTrackParam();
71
72 param -> SetNonBendingCoor(muon->XAtDCA());
73 param -> SetBendingCoor(muon->YAtDCA());
74 param -> SetZ(AliMFTConstants::fZEvalKinem);
75 param -> SetNonBendingSlope(muon->Px()/muon->Pz());
76 param -> SetBendingSlope(muon->Py()/muon->Pz());
77 param -> SetInverseBendingMomentum( muon->Charge() * (1./muon->Pz()) / (TMath::Sqrt(1+TMath::Power(muon->Py()/muon->Pz(),2))) );
78
79 AliMUONTrackExtrap::ExtrapToZ(param, z);
80 xy[0] = param->GetNonBendingCoor();
81 xy[1] = param->GetBendingCoor();
82
83 Double_t massMu = TDatabasePDG::Instance()->GetParticle("mu-")->Mass();
84 Double_t energy = TMath::Sqrt(massMu*massMu + param->Px()*param->Px() + param->Py()*param->Py() + param->Pz()*param->Pz());
85
86 kinem.SetPxPyPzE(param->Px(), param->Py(), param->Pz(), energy);
87
88 delete param;
89
90 return kTRUE;
91
92}
93
94//====================================================================================================================================================
95
96Bool_t AliMFTAnalysisTools::ExtrapAODMuonToZ(AliAODTrack *muon, Double_t z, Double_t xy[2], TLorentzVector &kinem, TMatrixD &cov) {
97
98 if (!(muon->Pz()!=0)) return kFALSE;
99
100 AliMUONTrackParam *param = new AliMUONTrackParam();
101
102 param -> SetNonBendingCoor(muon->XAtDCA());
103 param -> SetBendingCoor(muon->YAtDCA());
104 param -> SetZ(AliMFTConstants::fZEvalKinem);
105 param -> SetNonBendingSlope(muon->Px()/muon->Pz());
106 param -> SetBendingSlope(muon->Py()/muon->Pz());
107 param -> SetInverseBendingMomentum( muon->Charge() * (1./muon->Pz()) / (TMath::Sqrt(1+TMath::Power(muon->Py()/muon->Pz(),2))) );
108
109 param -> SetCovariances(ConvertCovMatrixAOD2MUON(muon));
110
111 AliMUONTrackExtrap::ExtrapToZCov(param, z);
112 xy[0] = param->GetNonBendingCoor();
113 xy[1] = param->GetBendingCoor();
114
115 Double_t massMu = TDatabasePDG::Instance()->GetParticle("mu-")->Mass();
116 Double_t energy = TMath::Sqrt(massMu*massMu + param->Px()*param->Px() + param->Py()*param->Py() + param->Pz()*param->Pz());
117
118 kinem.SetPxPyPzE(param->Px(), param->Py(), param->Pz(), energy);
119
120 cov = param->GetCovariances();
121
122 delete param;
123
124 return kTRUE;
125
126}
127
128//====================================================================================================================================================
129
130Double_t AliMFTAnalysisTools::GetAODMuonOffset(AliAODTrack *muon, Double_t xv, Double_t yv, Double_t zv) {
131
132 Double_t xy[2] = {0};
133 ExtrapAODMuonToZ(muon, zv, xy);
134
135 return TMath::Sqrt((xv-xy[0])*(xv-xy[0]) + (yv-xy[1])*(yv-xy[1]));
136
137}
138
139//====================================================================================================================================================
140
141Double_t AliMFTAnalysisTools::GetAODMuonWeightedOffset(AliAODTrack *muon, Double_t xv, Double_t yv, Double_t zv) {
142
143 Double_t xy[2] = {0};
144 TLorentzVector kinem(0,0,0,0);
145 TMatrixD cov(5,5);
146
147 ExtrapAODMuonToZ(muon, zv, xy, kinem, cov);
148
149 TMatrixD covCoordinates(2,2);
150 covCoordinates(0,0) = cov(0,0);
151 covCoordinates(0,1) = cov(0,2);
152 covCoordinates(1,0) = cov(2,0);
153 covCoordinates(1,1) = cov(2,2);
154
155 TMatrixD covCoordinatesInverse = covCoordinates.Invert();
156
157 Double_t dX = xy[0] - xv;
158 Double_t dY = xy[1] - yv;
159
160 Double_t weightedOffset = TMath::Sqrt(0.5*(dX*dX*covCoordinatesInverse(0,0) +
161 dY*dY*covCoordinatesInverse(1,1) +
162 2.*dX*dY*covCoordinatesInverse(0,1)));
163
164 return weightedOffset;
165
166}
167
168//====================================================================================================================================================
169
170Double_t AliMFTAnalysisTools::GetPseudoProperDecayTimeXY(Double_t xVtx, Double_t yVtx,
171 Double_t xDimu, Double_t yDimu,
172 Double_t mDimu, Double_t ptDimu) {
173
174 // pseudo-proper decay time of a particle produced in the primary vertex and decaying into a dimuon (+ X)
175 // evaluated using the transverse degree of freedom of the decay topology
176
177 if (ptDimu != 0) {
178 Double_t decayLengthXY = TMath::Sqrt((xVtx-xDimu)*(xVtx-xDimu)+(yVtx-yDimu)*(yVtx-yDimu));
179 return (decayLengthXY * mDimu/ptDimu)/TMath::Ccgs()*1E12; // in ps
180 }
181
182 return -99999999;
183
184}
185
186//====================================================================================================================================================
187
188Double_t AliMFTAnalysisTools::GetPseudoProperDecayTimeZ(Double_t zVtx,
189 Double_t zDimu,
190 Double_t mDimu, Double_t pzDimu) {
191
192 // pseudo-proper decay time of a particle produced in the primary vertex and decaying into a dimuon (+ X)
193 // evaluated using the longitudinal degree of freedom of the decay topology
194
195 if (pzDimu != 0) {
196 Double_t decayLengthZ = zDimu - zVtx;
197 return (decayLengthZ * mDimu/pzDimu)/TMath::Ccgs()*1E12; // in ps
198 }
199
200 return -99999999;
201
202}
203
204//====================================================================================================================================================
205
19393921 206Bool_t AliMFTAnalysisTools::CalculatePCA(AliAODDimuon *dimuon, Double_t *pca, Double_t &pcaQuality, TLorentzVector &kinem) {
207
208 TObjArray *muons = new TObjArray();
209 muons -> Add(dimuon->GetMu(0));
210 muons -> Add(dimuon->GetMu(1));
211
212 return CalculatePCA(muons, pca, pcaQuality, kinem);
213
214}
215
216//====================================================================================================================================================
217
218Bool_t AliMFTAnalysisTools::CalculatePCA(TObjArray *muons, Double_t *pca, Double_t &pcaQuality, TLorentzVector &kinem) {
bffc7f8c 219
220 const Int_t nMuons = muons->GetEntriesFast();
221 if (nMuons<2 || nMuons>AliMFTConstants::fNMaxMuonsForPCA) {
222 printf("W-AliMFTAnalysisTools::CalculatePCA: number of muons not valid\n");
223 return kFALSE;
224 }
225
226 Double_t fXPointOfClosestApproach=0, fYPointOfClosestApproach=0, fZPointOfClosestApproach=0;
227
6ffd24bb 228 AliAODTrack *muon[AliMFTConstants::fNMaxMuonsForPCA] = {0};
229 AliMUONTrackParam *param[AliMFTConstants::fNMaxMuonsForPCA] = {0};
bffc7f8c 230
231 // Finding AliMUONTrackParam objects for each muon
232
233 for (Int_t iMu=0; iMu<nMuons; iMu++) {
234 muon[iMu] = (AliAODTrack*) muons->At(iMu);
235 if (TMath::Abs(muon[iMu]->Pz())<1.e-6) return kFALSE;
236 param[iMu] = new AliMUONTrackParam();
237 param[iMu] -> SetNonBendingCoor(muon[iMu]->XAtDCA());
238 param[iMu] -> SetBendingCoor(muon[iMu]->YAtDCA());
239 param[iMu] -> SetZ(0.);
240 param[iMu] -> SetNonBendingSlope(muon[iMu]->Px()/muon[iMu]->Pz());
241 param[iMu] -> SetBendingSlope(muon[iMu]->Py()/muon[iMu]->Pz());
242 param[iMu] -> SetInverseBendingMomentum( muon[iMu]->Charge() * (1./muon[iMu]->Pz()) / (TMath::Sqrt(1+TMath::Power(muon[iMu]->Py()/muon[iMu]->Pz(),2))) );
243 }
244
245 // here we want to understand in which direction we have to search the minimum...
246
247 Double_t step = 1.; // initial step, in cm
248 Double_t startPoint = 0.;
249
250 Double_t r[3]={0}, z[3]={startPoint, startPoint+step, startPoint+2*step};
251
6ffd24bb 252 TVector3 **points = new TVector3*[AliMFTConstants::fNMaxMuonsForPCA];
bffc7f8c 253
254 for (Int_t i=0; i<3; i++) {
255 for (Int_t iMu=0; iMu<nMuons; iMu++) {
256 AliMUONTrackExtrap::ExtrapToZ(param[iMu], z[i]);
257 points[iMu] = new TVector3(param[iMu]->GetNonBendingCoor(),param[iMu]->GetBendingCoor(),z[i]);
258 }
259 r[i] = GetDistanceBetweenPoints(points,nMuons);
260 }
261
262 Int_t researchDirection = 0;
263
264 if (r[0]>r[1] && r[1]>r[2]) researchDirection = +1; // towards z positive
265 else if (r[0]<r[1] && r[1]<r[2]) researchDirection = -1; // towards z negative
266 else if (r[0]<r[1] && r[1]>r[2]) {
267 printf("E-AliMFTAnalysisTools::CalculatePCA: Point of closest approach cannot be found for dimuon (no minima)\n");
268 return kFALSE;
269 }
270
271 while (TMath::Abs(researchDirection)>0.5) {
272
273 if (researchDirection>0) {
274 z[0] = z[1];
275 z[1] = z[2];
276 z[2] = z[1]+researchDirection*step;
277 }
278 else {
279 z[2] = z[1];
280 z[1] = z[0];
281 z[0] = z[1]+researchDirection*step;
282 }
283 if (TMath::Abs(z[0])>900.) {
284 printf("E-AliMFTAnalysisTools::CalculatePCA: Point of closest approach cannot be found for dimuon (no minima in the fiducial region)\n");
285 return kFALSE;
286 }
287
bffc7f8c 288 for (Int_t i=0; i<3; i++) {
289 for (Int_t iMu=0; iMu<nMuons; iMu++) {
290 AliMUONTrackExtrap::ExtrapToZ(param[iMu], z[i]);
291 points[iMu] = new TVector3(param[iMu]->GetNonBendingCoor(),param[iMu]->GetBendingCoor(),z[i]);
292 }
293 r[i] = GetDistanceBetweenPoints(points,nMuons);
294 }
295 researchDirection=0;
296 if (r[0]>r[1] && r[1]>r[2]) researchDirection = +1; // towards z positive
297 else if (r[0]<r[1] && r[1]<r[2]) researchDirection = -1; // towards z negative
298
299 }
300
563c075f 301 // now we know that the minimum is between z[0] and z[2] and we search for it
bffc7f8c 302
303 step *= 0.5;
304 while (step>AliMFTConstants::fPrecisionPointOfClosestApproach) {
305 z[0] = z[1]-step;
306 z[2] = z[1]+step;
307 for (Int_t i=0; i<3; i++) {
308 for (Int_t iMu=0; iMu<nMuons; iMu++) {
309 AliMUONTrackExtrap::ExtrapToZ(param[iMu], z[i]);
310 points[iMu] = new TVector3(param[iMu]->GetNonBendingCoor(),param[iMu]->GetBendingCoor(),z[i]);
311 }
312 r[i] = GetDistanceBetweenPoints(points,nMuons);
313 }
314 if (r[0]<r[1]) z[1] = z[0];
315 else if (r[2]<r[1]) z[1] = z[2];
316 else step *= 0.5;
317 }
318
563c075f 319 // for (Int_t iMuon=0; iMuon<AliMFTConstants::fNMaxMuonsForPCA; iMuon++) if (points[iMuon]) delete points[iMuon];
320 delete [] points;
bffc7f8c 321
322 // Once z of minimum is found, we evaluate the x and y coordinates by averaging over the contributing tracks
323
324 fZPointOfClosestApproach = z[1];
325 fXPointOfClosestApproach = 0.;
326 fYPointOfClosestApproach = 0.;
327 for (Int_t iMu=0; iMu<nMuons; iMu++) {
328 AliMUONTrackExtrap::ExtrapToZ(param[iMu], fZPointOfClosestApproach);
329 fXPointOfClosestApproach += param[iMu]->GetNonBendingCoor();
330 fYPointOfClosestApproach += param[iMu]->GetBendingCoor();
331 }
332 fXPointOfClosestApproach /= Double_t(nMuons);
333 fYPointOfClosestApproach /= Double_t(nMuons);
334
335 pca[0] = fXPointOfClosestApproach;
336 pca[1] = fYPointOfClosestApproach;
337 pca[2] = fZPointOfClosestApproach;
338
339 // Evaluating the kinematics of the N-muon
340
341 Double_t pTot[3] = {0};
342 Double_t ene = 0.;
343 Double_t massMu = TDatabasePDG::Instance()->GetParticle("mu-")->Mass();
344 for (Int_t iMu=0; iMu<nMuons; iMu++) {
345 pTot[0] += param[iMu]->Px();
346 pTot[1] += param[iMu]->Py();
347 pTot[2] += param[iMu]->Pz();
348 ene += TMath::Sqrt(massMu*massMu + param[iMu]->Px()*param[iMu]->Px() + param[iMu]->Py()*param[iMu]->Py() + param[iMu]->Pz()*param[iMu]->Pz());
349 }
350
351 kinem.SetPxPyPzE(pTot[0], pTot[1], pTot[2], ene);
352
353 // Evaluating the PCA quality of the N-muon
354
355 Double_t sum=0.,squareSum=0.;
356 for (Int_t iMu=0; iMu<nMuons; iMu++) {
357 Double_t wOffset = AliMFTAnalysisTools::GetAODMuonWeightedOffset(muon[iMu],fXPointOfClosestApproach, fYPointOfClosestApproach, fZPointOfClosestApproach);
358 Double_t f = TMath::Exp(-0.5 * wOffset);
359 sum += f;
360 squareSum += f*f;
361 }
362 if (sum > 0.) pcaQuality = (sum-squareSum/sum) / (nMuons-1);
363 else pcaQuality = 0.;
364
563c075f 365 for (Int_t iMu=0; iMu<AliMFTConstants::fNMaxMuonsForPCA; iMu++) if (param[iMu]) delete param[iMu];
366 // delete param;
367
bffc7f8c 368 return kTRUE;
369
370}
371
372//=========================================================================================================================
373
374Double_t AliMFTAnalysisTools::GetDistanceBetweenPoints(TVector3 **points, Int_t nPoints) {
375
376 if (nPoints>AliMFTConstants::fNMaxMuonsForPCA) {
377 printf("W-AliMFTAnalysisTools::GetDistanceBetweenPoints: number of points not valid\n");
378 return 1.e9;
379 }
380
381 if (nPoints<2) return 0.;
382 if (nPoints<3) return TMath::Sqrt( (points[0]->X()-points[1]->X()) * (points[0]->X()-points[1]->X()) +
383 (points[0]->Y()-points[1]->Y()) * (points[0]->Y()-points[1]->Y()) +
384 (points[0]->Z()-points[1]->Z()) * (points[0]->Z()-points[1]->Z()) );
385
386 const Int_t nEdgesMax = ((AliMFTConstants::fNMaxMuonsForPCA) * (AliMFTConstants::fNMaxMuonsForPCA - 1)) / 2;
387
388 Int_t startID[nEdgesMax] = {0};
389 Int_t stopID[nEdgesMax] = {0};
390 Double_t edgeLength[nEdgesMax] = {0};
391
392 Bool_t pointStatus[AliMFTConstants::fNMaxMuonsForPCA] = {0};
393
394 Int_t nEdges=0;
395 for (Int_t i=0; i<nPoints-1; i++) {
396 for (Int_t j=i+1; j<nPoints; j++) {
397 edgeLength[nEdges] = TMath::Sqrt( (points[i]->X()-points[j]->X()) * (points[i]->X()-points[j]->X()) +
398 (points[i]->Y()-points[j]->Y()) * (points[i]->Y()-points[j]->Y()) +
399 (points[i]->Z()-points[j]->Z()) * (points[i]->Z()-points[j]->Z()) );
400 stopID[nEdges] = i;
401 startID[nEdges] = j;
402 nEdges++;
403 }
404 }
405
406 // Order Edges
407
408 Double_t min = 0;
409 Int_t iMin = 0;
410
411 for (Int_t iEdge=0; iEdge<nEdges-1; iEdge++) {
412 min = edgeLength[iEdge];
413 iMin = iEdge;
414 for (Int_t j=iEdge+1; j<nEdges; j++) {
415 if (edgeLength[j]<min) {
416 min = edgeLength[j];
417 iMin = j;
418 }
419 }
420
421 if (iMin != iEdge) {
422
423 Double_t edgeLengthMin = edgeLength[iMin];
424 Int_t startIDmin = startID[iMin];
425 Int_t stopIDmin = stopID[iMin];
426
427 edgeLength[iMin] = edgeLength[iEdge];
428 startID[iMin] = startID[iEdge];
429 stopID[iMin] = stopID[iEdge];
430
431 edgeLength[iEdge] = edgeLengthMin;
432 startID[iEdge] = startIDmin;
433 stopID[iEdge] = stopIDmin;
434
435 }
436
437 }
438
439 // Connect
440
441 Double_t length = 0.;
442 for (Int_t i=0; i<nEdges; i++) {
443 if (!(pointStatus[startID[i]] && pointStatus[stopID[i]])) {
444 pointStatus[startID[i]] = kTRUE;
445 pointStatus[stopID[i]] = kTRUE;
446 length += edgeLength[i];
447 }
448 }
449
450 return length;
451
452}
453
454//====================================================================================================================================================
455
456void AliMFTAnalysisTools::ConvertCovMatrixMUON2AOD(const TMatrixD& covMUON, Double_t covAOD[21]) {
457
458 // Converts the cov matrix from the MUON format (TMatrixD) to the AOD one (Double_t[21])
459 //
460 // Cov(x,x) ... : cv[0]
461 // Cov(x,slopeX) ... : cv[1] cv[2]
462 // Cov(x,y) ... : cv[3] cv[4] cv[5]
463 // Cov(x,slopeY) ... : cv[6] cv[7] cv[8] cv[9]
464 // Cov(x,invP_yz) ... : cv[10] cv[11] cv[12] cv[13] cv[14]
465 // not-used ... : cv[15] cv[16] cv[17] cv[18] cv[19] cv[20]
466
467 covAOD[0] = covMUON(0,0);
468
469 covAOD[1] = covMUON(1,0);
470 covAOD[2] = covMUON(1,1);
471
472 covAOD[3] = covMUON(2,0);
473 covAOD[4] = covMUON(2,1);
474 covAOD[5] = covMUON(2,2);
475
476 covAOD[6] = covMUON(3,0);
477 covAOD[7] = covMUON(3,1);
478 covAOD[8] = covMUON(3,2);
479 covAOD[9] = covMUON(3,3);
480
481 covAOD[10] = covMUON(4,0);
482 covAOD[11] = covMUON(4,1);
483 covAOD[12] = covMUON(4,2);
484 covAOD[13] = covMUON(4,3);
485 covAOD[14] = covMUON(4,4);
486
487 covAOD[15] = 0;
488 covAOD[16] = 0;
489 covAOD[17] = 0;
490 covAOD[18] = 0;
491 covAOD[19] = 0;
492 covAOD[20] = 0;
493
494}
495
496//====================================================================================================================================================
497
498const TMatrixD AliMFTAnalysisTools::ConvertCovMatrixAOD2MUON(AliAODTrack *muon) {
499
500 Double_t covAOD[21] = {0};
501 muon -> GetCovarianceXYZPxPyPz(covAOD);
502
503 TMatrixD covMUON(5,5);
504
505 covMUON(0,0) = covAOD[0];
506
507 covMUON(1,0) = covAOD[1];
508 covMUON(1,1) = covAOD[2];
509
510 covMUON(2,0) = covAOD[3];
511 covMUON(2,1) = covAOD[4];
512 covMUON(2,2) = covAOD[5];
513
514 covMUON(3,0) = covAOD[6];
515 covMUON(3,1) = covAOD[7];
516 covMUON(3,2) = covAOD[8];
517 covMUON(3,3) = covAOD[9];
518
519 covMUON(4,0) = covAOD[10];
520 covMUON(4,1) = covAOD[11];
521 covMUON(4,2) = covAOD[12];
522 covMUON(4,3) = covAOD[13];
523 covMUON(4,4) = covAOD[14];
524
525 return covMUON;
526
527}
528
529//====================================================================================================================================================
530