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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 | /* $Id$ */ | |
17 | ||
18 | /////////////////////////////////////////////////// | |
19 | // | |
20 | // Reconstructed track | |
21 | // in | |
22 | // ALICE | |
23 | // dimuon | |
24 | // spectrometer | |
25 | // | |
26 | /////////////////////////////////////////////////// | |
27 | ||
28 | #include <stdlib.h> // for exit() | |
29 | ||
30 | #include <Riostream.h> // for cout | |
31 | #include <TMath.h> | |
32 | #include <TMatrixD.h> | |
33 | #include <TObjArray.h> | |
34 | #include <TVirtualFitter.h> | |
35 | ||
36 | #include "AliMUONEventReconstructor.h" | |
37 | #include "AliMUONHitForRec.h" | |
38 | #include "AliMUONSegment.h" | |
39 | #include "AliMUONTrack.h" | |
40 | #include "AliMUONTrackHit.h" | |
41 | #include "AliMUONTriggerTrack.h" | |
42 | #include "AliMUONConstants.h" | |
43 | ||
44 | // Functions to be minimized with Minuit | |
45 | void TrackChi2(Int_t &NParam, Double_t *Gradient, Double_t &Chi2, Double_t *Param, Int_t Flag); | |
46 | void TrackChi2MCS(Int_t &NParam, Double_t *Gradient, Double_t &Chi2, Double_t *Param, Int_t Flag); | |
47 | ||
48 | void mnvertLocal(Double_t* a, Int_t l, Int_t m, Int_t n, Int_t& ifail); | |
49 | ||
50 | Double_t MultipleScatteringAngle2(AliMUONTrackHit *TrackHit); | |
51 | ||
52 | ClassImp(AliMUONTrack) // Class implementation in ROOT context | |
53 | ||
54 | TVirtualFitter* AliMUONTrack::fgFitter = NULL; | |
55 | ||
56 | //__________________________________________________________________________ | |
57 | AliMUONTrack::AliMUONTrack() | |
58 | : TObject() | |
59 | { | |
60 | // Default constructor | |
61 | fgFitter = 0; | |
62 | fEventReconstructor = 0; | |
63 | fTrackHitsPtr = new TObjArray(10); | |
64 | fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10); | |
65 | fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10); | |
66 | fTrackID = 0; | |
67 | } | |
68 | ||
69 | //__________________________________________________________________________ | |
70 | AliMUONTrack::AliMUONTrack(AliMUONSegment* BegSegment, AliMUONSegment* EndSegment, AliMUONEventReconstructor* EventReconstructor) | |
71 | : TObject() | |
72 | { | |
73 | // Constructor from two Segment's | |
74 | fEventReconstructor = EventReconstructor; // link back to EventReconstructor | |
75 | // memory allocation for the TObjArray of pointers to reconstructed TrackHit's | |
76 | fTrackHitsPtr = new TObjArray(10); | |
77 | fNTrackHits = 0; | |
78 | AddSegment(BegSegment); // add hits from BegSegment | |
79 | AddSegment(EndSegment); // add hits from EndSegment | |
80 | fTrackHitsPtr->Sort(); // sort TrackHits according to increasing Z | |
81 | SetTrackParamAtVertex(); // set track parameters at vertex | |
82 | fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10); | |
83 | fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10); | |
84 | // set fit conditions... | |
85 | fFitMCS = 0; | |
86 | fFitNParam = 3; | |
87 | fFitStart = 1; | |
88 | fFitFMin = -1.0; | |
89 | fMatchTrigger = kFALSE; | |
90 | fChi2MatchTrigger = 0; | |
91 | fTrackID = 0; | |
92 | return; | |
93 | } | |
94 | ||
95 | //__________________________________________________________________________ | |
96 | AliMUONTrack::AliMUONTrack(AliMUONSegment* Segment, AliMUONHitForRec* HitForRec, AliMUONEventReconstructor* EventReconstructor) | |
97 | : TObject() | |
98 | { | |
99 | // Constructor from one Segment and one HitForRec | |
100 | fEventReconstructor = EventReconstructor; // link back to EventReconstructor | |
101 | // memory allocation for the TObjArray of pointers to reconstructed TrackHit's | |
102 | fTrackHitsPtr = new TObjArray(10); | |
103 | fNTrackHits = 0; | |
104 | AddSegment(Segment); // add hits from Segment | |
105 | AddHitForRec(HitForRec); // add HitForRec | |
106 | fTrackHitsPtr->Sort(); // sort TrackHits according to increasing Z | |
107 | SetTrackParamAtVertex(); // set track parameters at vertex | |
108 | fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10); | |
109 | fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10); | |
110 | // set fit conditions... | |
111 | fFitMCS = 0; | |
112 | fFitNParam = 3; | |
113 | fFitStart = 1; | |
114 | fFitFMin = -1.0; | |
115 | fMatchTrigger = kFALSE; | |
116 | fChi2MatchTrigger = 0; | |
117 | fTrackID = 0; | |
118 | return; | |
119 | } | |
120 | ||
121 | //__________________________________________________________________________ | |
122 | AliMUONTrack::~AliMUONTrack() | |
123 | { | |
124 | // Destructor | |
125 | if (fTrackHitsPtr) { | |
126 | fTrackHitsPtr->Clear(); | |
127 | delete fTrackHitsPtr; // delete the TObjArray of pointers to TrackHit's | |
128 | fTrackHitsPtr = NULL; | |
129 | } | |
130 | ||
131 | if (fTrackParamAtHit) { | |
132 | // delete the TClonesArray of pointers to TrackParam | |
133 | fTrackParamAtHit->Clear(); | |
134 | delete fTrackParamAtHit; | |
135 | fTrackParamAtHit = NULL; | |
136 | } | |
137 | ||
138 | if (fHitForRecAtHit) { | |
139 | // delete the TClonesArray of pointers to HitForRec | |
140 | fHitForRecAtHit->Clear(); | |
141 | delete fHitForRecAtHit; | |
142 | fHitForRecAtHit = NULL; | |
143 | } | |
144 | } | |
145 | ||
146 | //__________________________________________________________________________ | |
147 | AliMUONTrack::AliMUONTrack (const AliMUONTrack& theMUONTrack) | |
148 | : TObject(theMUONTrack) | |
149 | { | |
150 | //fEventReconstructor = new AliMUONEventReconstructor(*MUONTrack.fEventReconstructor); | |
151 | // is it right ? | |
152 | // NO, because it would use dummy copy constructor | |
153 | // and AliMUONTrack is not the owner of its EventReconstructor | |
154 | fEventReconstructor = theMUONTrack.fEventReconstructor; | |
155 | fTrackParamAtVertex = theMUONTrack.fTrackParamAtVertex; | |
156 | ||
157 | // necessary to make a copy of the objects and not only the pointers in TObjArray. | |
158 | fTrackHitsPtr = new TObjArray(10); | |
159 | for (Int_t index = 0; index < (theMUONTrack.fTrackHitsPtr)->GetEntriesFast(); index++) { | |
160 | AliMUONTrackHit *trackHit = new AliMUONTrackHit(*(AliMUONTrackHit*)(theMUONTrack.fTrackHitsPtr)->At(index)); | |
161 | fTrackHitsPtr->Add(trackHit); | |
162 | } | |
163 | ||
164 | // necessary to make a copy of the objects and not only the pointers in TClonesArray. | |
165 | fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10); | |
166 | for (Int_t index = 0; index < (theMUONTrack.fTrackParamAtHit)->GetEntriesFast(); index++) { | |
167 | {new ((*fTrackParamAtHit)[fTrackParamAtHit->GetEntriesFast()]) | |
168 | AliMUONTrackParam(*(AliMUONTrackParam*)(theMUONTrack.fTrackParamAtHit)->At(index));} | |
169 | } | |
170 | ||
171 | // necessary to make a copy of the objects and not only the pointers in TClonesArray. | |
172 | fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10); | |
173 | for (Int_t index = 0; index < (theMUONTrack.fHitForRecAtHit)->GetEntriesFast(); index++) { | |
174 | {new ((*fHitForRecAtHit)[fHitForRecAtHit->GetEntriesFast()]) | |
175 | AliMUONHitForRec(*(AliMUONHitForRec*)(theMUONTrack.fHitForRecAtHit)->At(index));} | |
176 | } | |
177 | ||
178 | fNTrackHits = theMUONTrack.fNTrackHits; | |
179 | fFitMCS = theMUONTrack.fFitMCS; | |
180 | fFitNParam = theMUONTrack.fFitNParam; | |
181 | fFitFMin = theMUONTrack.fFitFMin; | |
182 | fFitStart = theMUONTrack.fFitStart; | |
183 | fMatchTrigger = theMUONTrack.fMatchTrigger; | |
184 | fChi2MatchTrigger = theMUONTrack.fChi2MatchTrigger; | |
185 | fTrackID = theMUONTrack.fTrackID; | |
186 | } | |
187 | ||
188 | //__________________________________________________________________________ | |
189 | AliMUONTrack & AliMUONTrack::operator=(const AliMUONTrack& theMUONTrack) | |
190 | { | |
191 | ||
192 | // check assignement to self | |
193 | if (this == &theMUONTrack) | |
194 | return *this; | |
195 | ||
196 | // base class assignement | |
197 | TObject::operator=(theMUONTrack); | |
198 | ||
199 | // fEventReconstructor = new AliMUONEventReconstructor(*MUONTrack.fEventReconstructor); // is it right ? | |
200 | // is it right ? NO because it would use dummy copy constructor | |
201 | fEventReconstructor = theMUONTrack.fEventReconstructor; | |
202 | fTrackParamAtVertex = theMUONTrack.fTrackParamAtVertex; | |
203 | ||
204 | // necessary to make a copy of the objects and not only the pointers in TObjArray. | |
205 | fTrackHitsPtr = new TObjArray(10); | |
206 | for (Int_t index = 0; index < (theMUONTrack.fTrackHitsPtr)->GetEntriesFast(); index++) { | |
207 | AliMUONTrackHit *trackHit = new AliMUONTrackHit(*(AliMUONTrackHit*)(theMUONTrack.fTrackHitsPtr)->At(index)); | |
208 | fTrackHitsPtr->Add(trackHit); | |
209 | } | |
210 | ||
211 | // necessary to make a copy of the objects and not only the pointers in TClonesArray. | |
212 | fTrackParamAtHit = new TClonesArray("AliMUONTrackParam",10); | |
213 | for (Int_t index = 0; index < (theMUONTrack.fTrackParamAtHit)->GetEntriesFast(); index++) { | |
214 | {new ((*fTrackParamAtHit)[fTrackParamAtHit->GetEntriesFast()]) | |
215 | AliMUONTrackParam(*(AliMUONTrackParam*)(theMUONTrack.fTrackParamAtHit)->At(index));} | |
216 | } | |
217 | ||
218 | // necessary to make a copy of the objects and not only the pointers in TClonesArray. | |
219 | fHitForRecAtHit = new TClonesArray("AliMUONHitForRec",10); | |
220 | for (Int_t index = 0; index < (theMUONTrack.fHitForRecAtHit)->GetEntriesFast(); index++) { | |
221 | {new ((*fHitForRecAtHit)[fHitForRecAtHit->GetEntriesFast()]) | |
222 | AliMUONHitForRec(*(AliMUONHitForRec*)(theMUONTrack.fHitForRecAtHit)->At(index));} | |
223 | } | |
224 | ||
225 | fNTrackHits = theMUONTrack.fNTrackHits; | |
226 | fFitMCS = theMUONTrack.fFitMCS; | |
227 | fFitNParam = theMUONTrack.fFitNParam; | |
228 | fFitFMin = theMUONTrack.fFitFMin; | |
229 | fFitStart = theMUONTrack.fFitStart; | |
230 | fMatchTrigger = theMUONTrack.fMatchTrigger; | |
231 | fChi2MatchTrigger = theMUONTrack.fChi2MatchTrigger; | |
232 | fTrackID = theMUONTrack.fTrackID; | |
233 | ||
234 | return *this; | |
235 | } | |
236 | ||
237 | //__________________________________________________________________________ | |
238 | void AliMUONTrack::Remove() | |
239 | { | |
240 | // Remove current track from array of tracks, | |
241 | // and corresponding track hits from array of track hits. | |
242 | // Compress the TClonesArray it belongs to. | |
243 | AliMUONTrackHit *nextTrackHit; | |
244 | AliMUONEventReconstructor *eventRec = this->fEventReconstructor; | |
245 | TClonesArray *trackHitsPtr = eventRec->GetRecTrackHitsPtr(); | |
246 | // Loop over all track hits of track | |
247 | AliMUONTrackHit *trackHit = (AliMUONTrackHit*) fTrackHitsPtr->First(); | |
248 | while (trackHit) { | |
249 | nextTrackHit = (AliMUONTrackHit*) fTrackHitsPtr->After(trackHit); | |
250 | // Remove TrackHit from event TClonesArray. | |
251 | // Destructor is called, | |
252 | // hence links between HitForRec's and TrackHit's are updated | |
253 | trackHitsPtr->Remove(trackHit); | |
254 | trackHit = nextTrackHit; | |
255 | } | |
256 | // Remove the track from event TClonesArray | |
257 | // Destructor is called, | |
258 | // hence space for TObjArray of pointers to TrackHit's is freed | |
259 | eventRec->GetRecTracksPtr()->Remove(this); | |
260 | // Number of tracks decreased by 1 | |
261 | eventRec->SetNRecTracks(eventRec->GetNRecTracks() - 1); | |
262 | // Compress event TClonesArray of Track's: | |
263 | // this is essential to retrieve the TClonesArray afterwards | |
264 | eventRec->GetRecTracksPtr()->Compress(); | |
265 | // Compress event TClonesArray of TrackHit's: | |
266 | // this is probably also essential to retrieve the TClonesArray afterwards | |
267 | trackHitsPtr->Compress(); | |
268 | } | |
269 | ||
270 | //__________________________________________________________________________ | |
271 | void AliMUONTrack::SetFitMCS(Int_t FitMCS) | |
272 | { | |
273 | // Set multiple Coulomb scattering option for track fit "fFitMCS" | |
274 | // from "FitMCS" argument: 0 without, 1 with | |
275 | if ((FitMCS == 0) || (FitMCS == 1)) fFitMCS = FitMCS; | |
276 | // better implementation with enum(with, without) ???? | |
277 | else { | |
278 | cout << "ERROR in AliMUONTrack::SetFitMCS(FitMCS)" << endl; | |
279 | cout << "FitMCS = " << FitMCS << " is neither 0 nor 1" << endl; | |
280 | exit(0); | |
281 | } | |
282 | return; | |
283 | } | |
284 | ||
285 | //__________________________________________________________________________ | |
286 | void AliMUONTrack::SetFitNParam(Int_t FitNParam) | |
287 | { | |
288 | // Set number of parameters for track fit "fFitNParam" from "FitNParam": | |
289 | // 3 for momentum, 5 for momentum and position | |
290 | if ((FitNParam == 3) || (FitNParam == 5)) fFitNParam = FitNParam; | |
291 | else { | |
292 | cout << "ERROR in AliMUONTrack::SetFitNParam(FitNParam)" << endl; | |
293 | cout << "FitNParam = " << FitNParam << " is neither 3 nor 5" << endl; | |
294 | exit(0); | |
295 | } | |
296 | return; | |
297 | } | |
298 | ||
299 | //__________________________________________________________________________ | |
300 | void AliMUONTrack::SetFitStart(Int_t FitStart) | |
301 | { | |
302 | // Set multiple Coulomb scattering option for track fit "fFitStart" | |
303 | // from "FitStart" argument: 0 without, 1 with | |
304 | if ((FitStart == 0) || (FitStart == 1)) fFitStart = FitStart; | |
305 | // better implementation with enum(vertex, firstHit) ???? | |
306 | else { | |
307 | cout << "ERROR in AliMUONTrack::SetFitStart(FitStart)" << endl; | |
308 | cout << "FitStart = " << FitStart << " is neither 0 nor 1" << endl; | |
309 | exit(0); | |
310 | } | |
311 | return; | |
312 | } | |
313 | ||
314 | //__________________________________________________________________________ | |
315 | AliMUONTrackParam* AliMUONTrack::GetTrackParamAtFirstHit(void) const { | |
316 | // Get pointer to TrackParamAtFirstHit | |
317 | return ((AliMUONTrackHit*) (fTrackHitsPtr->First()))->GetTrackParam();} | |
318 | ||
319 | //__________________________________________________________________________ | |
320 | void AliMUONTrack::RecursiveDump(void) const | |
321 | { | |
322 | // Recursive dump of AliMUONTrack, i.e. with dump of TrackHit's and HitForRec's | |
323 | AliMUONTrackHit *trackHit; | |
324 | AliMUONHitForRec *hitForRec; | |
325 | cout << "Recursive dump of Track: " << this << endl; | |
326 | // Track | |
327 | this->Dump(); | |
328 | for (Int_t trackHitIndex = 0; trackHitIndex < fNTrackHits; trackHitIndex++) { | |
329 | trackHit = (AliMUONTrackHit*) ((*fTrackHitsPtr)[trackHitIndex]); | |
330 | // TrackHit | |
331 | cout << "TrackHit: " << trackHit << " (index: " << trackHitIndex << ")" << endl; | |
332 | trackHit->Dump(); | |
333 | hitForRec = trackHit->GetHitForRecPtr(); | |
334 | // HitForRec | |
335 | cout << "HitForRec: " << hitForRec << endl; | |
336 | hitForRec->Dump(); | |
337 | } | |
338 | return; | |
339 | } | |
340 | ||
341 | //__________________________________________________________________________ | |
342 | Bool_t* AliMUONTrack::CompatibleTrack(AliMUONTrack * Track, Double_t Sigma2Cut) const | |
343 | { | |
344 | // Return kTRUE/kFALSE for each chamber if hit is compatible or not | |
345 | TClonesArray *hitArray, *thisHitArray; | |
346 | AliMUONHitForRec *hit, *thisHit; | |
347 | Int_t chamberNumber; | |
348 | Float_t deltaZ; | |
349 | Float_t deltaZMax = 1.; // 1 cm | |
350 | Float_t chi2 = 0; | |
351 | Bool_t *nCompHit = new Bool_t[AliMUONConstants::NTrackingCh()]; | |
352 | ||
353 | for ( Int_t ch = 0; ch < AliMUONConstants::NTrackingCh(); ch++) { | |
354 | nCompHit[ch] = kFALSE; | |
355 | } | |
356 | ||
357 | thisHitArray = this->GetHitForRecAtHit(); | |
358 | ||
359 | hitArray = Track->GetHitForRecAtHit(); | |
360 | ||
361 | for (Int_t iHthis = 0; iHthis < thisHitArray->GetEntriesFast(); iHthis++) { | |
362 | thisHit = (AliMUONHitForRec*) thisHitArray->At(iHthis); | |
363 | chamberNumber = thisHit->GetChamberNumber(); | |
364 | if (chamberNumber < 0 || chamberNumber > AliMUONConstants::NTrackingCh()) continue; | |
365 | nCompHit[chamberNumber] = kFALSE; | |
366 | for (Int_t iH = 0; iH < hitArray->GetEntriesFast(); iH++) { | |
367 | hit = (AliMUONHitForRec*) hitArray->At(iH); | |
368 | deltaZ = TMath::Abs(thisHit->GetZ() - hit->GetZ()); | |
369 | chi2 = thisHit->NormalizedChi2WithHitForRec(hit,Sigma2Cut); // set cut to 4 sigmas | |
370 | if (chi2 < 3. && deltaZ < deltaZMax) { | |
371 | nCompHit[chamberNumber] = kTRUE; | |
372 | break; | |
373 | } | |
374 | } | |
375 | } | |
376 | ||
377 | return nCompHit; | |
378 | } | |
379 | ||
380 | //__________________________________________________________________________ | |
381 | Int_t AliMUONTrack::HitsInCommon(AliMUONTrack* Track) const | |
382 | { | |
383 | // Returns the number of hits in common | |
384 | // between the current track ("this") | |
385 | // and the track pointed to by "Track". | |
386 | Int_t hitsInCommon = 0; | |
387 | AliMUONTrackHit *trackHit1, *trackHit2; | |
388 | // Loop over hits of first track | |
389 | trackHit1 = (AliMUONTrackHit*) this->GetTrackHitsPtr()->First(); | |
390 | while (trackHit1) { | |
391 | // Loop over hits of second track | |
392 | trackHit2 = (AliMUONTrackHit*) Track->GetTrackHitsPtr()->First(); | |
393 | while (trackHit2) { | |
394 | // Increment "hitsInCommon" if both TrackHits point to the same HitForRec | |
395 | if ( (trackHit1->GetHitForRecPtr()) == | |
396 | (trackHit2->GetHitForRecPtr()) ) hitsInCommon++; | |
397 | trackHit2 = (AliMUONTrackHit*) Track->GetTrackHitsPtr()->After(trackHit2); | |
398 | } // trackHit2 | |
399 | trackHit1 = (AliMUONTrackHit*) this->GetTrackHitsPtr()->After(trackHit1); | |
400 | } // trackHit1 | |
401 | return hitsInCommon; | |
402 | } | |
403 | ||
404 | //__________________________________________________________________________ | |
405 | void AliMUONTrack::MatchTriggerTrack(TClonesArray *triggerTrackArray) | |
406 | { | |
407 | // Match this track with one trigger track if possible | |
408 | AliMUONTrackParam trackParam; | |
409 | AliMUONTriggerTrack *triggerTrack; | |
410 | Double_t xTrack, yTrack, ySlopeTrack, dTrigTrackMin2, dTrigTrack2; | |
411 | Double_t nSigmaCut2; | |
412 | ||
413 | Double_t distSigma[3]={1,1,0.02}; // sigma of distributions (trigger-track) X,Y,slopeY | |
414 | Double_t distTriggerTrack[3] = {0,0,0}; | |
415 | ||
416 | fMatchTrigger = kFALSE; | |
417 | fChi2MatchTrigger = 0; | |
418 | ||
419 | trackParam = *((AliMUONTrackParam*) fTrackParamAtHit->Last()); | |
420 | trackParam.ExtrapToZ(AliMUONConstants::DefaultChamberZ(10)); // extrap to 1st trigger chamber | |
421 | ||
422 | nSigmaCut2 = fEventReconstructor->GetMaxSigma2Distance(); // nb of sigma**2 for cut | |
423 | xTrack = trackParam.GetNonBendingCoor(); | |
424 | yTrack = trackParam.GetBendingCoor(); | |
425 | ySlopeTrack = trackParam.GetBendingSlope(); | |
426 | dTrigTrackMin2 = 999; | |
427 | ||
428 | triggerTrack = (AliMUONTriggerTrack*) triggerTrackArray->First(); | |
429 | while(triggerTrack){ | |
430 | distTriggerTrack[0] = (triggerTrack->GetX11()-xTrack)/distSigma[0]; | |
431 | distTriggerTrack[1] = (triggerTrack->GetY11()-yTrack)/distSigma[1]; | |
432 | distTriggerTrack[2] = (TMath::Tan(triggerTrack->GetThetay())-ySlopeTrack)/distSigma[2]; | |
433 | dTrigTrack2 = 0; | |
434 | for (Int_t iVar = 0; iVar < 3; iVar++) | |
435 | dTrigTrack2 += distTriggerTrack[iVar]*distTriggerTrack[iVar]; | |
436 | if (dTrigTrack2 < dTrigTrackMin2 && dTrigTrack2 < nSigmaCut2) { | |
437 | dTrigTrackMin2 = dTrigTrack2; | |
438 | fMatchTrigger = kTRUE; | |
439 | fChi2MatchTrigger = dTrigTrack2/3.; // Normalized Chi2, 3 variables (X,Y,slopeY) | |
440 | } | |
441 | triggerTrack = (AliMUONTriggerTrack*) triggerTrackArray->After(triggerTrack); | |
442 | } | |
443 | ||
444 | } | |
445 | //__________________________________________________________________________ | |
446 | void AliMUONTrack::Fit() | |
447 | { | |
448 | // Fit the current track ("this"), | |
449 | // with or without multiple Coulomb scattering according to "fFitMCS", | |
450 | // with the number of parameters given by "fFitNParam" | |
451 | // (3 if one keeps X and Y fixed in "TrackParam", 5 if one lets them vary), | |
452 | // starting, according to "fFitStart", | |
453 | // with track parameters at vertex or at the first TrackHit. | |
454 | // "fFitMCS", "fFitNParam" and "fFitStart" have to be set before | |
455 | // by calling the corresponding Set methods. | |
456 | Double_t arg[1], benC, errorParam, invBenP, lower, nonBenC, upper, x, y; | |
457 | char parName[50]; | |
458 | AliMUONTrackParam *trackParam; | |
459 | // Check if Minuit is initialized... | |
460 | fgFitter = TVirtualFitter::Fitter(this); // add 3 or 5 for the maximum number of parameters ??? | |
461 | fgFitter->Clear(); // necessary ???? probably yes | |
462 | // how to reset the printout number at every fit ???? | |
463 | // is there any risk to leave it like that ???? | |
464 | // how to go faster ???? choice of Minuit parameters like EDM ???? | |
465 | // choice of function to be minimized according to fFitMCS | |
466 | if (fFitMCS == 0) fgFitter->SetFCN(TrackChi2); | |
467 | else fgFitter->SetFCN(TrackChi2MCS); | |
468 | // Switch off printout | |
469 | arg[0] = -1; | |
470 | fgFitter->ExecuteCommand("SET PRINT", arg, 1); // More printing !!!! | |
471 | // No warnings | |
472 | fgFitter->ExecuteCommand("SET NOW", arg, 0); | |
473 | // Parameters according to "fFitStart" | |
474 | // (should be a function to be used at every place where needed ????) | |
475 | if (fFitStart == 0) trackParam = &fTrackParamAtVertex; | |
476 | else trackParam = this->GetTrackParamAtFirstHit(); | |
477 | // set first 3 Minuit parameters | |
478 | // could be tried with no limits for the search (min=max=0) ???? | |
479 | fgFitter->SetParameter(0, "InvBenP", | |
480 | trackParam->GetInverseBendingMomentum(), | |
481 | 0.003, -0.4, 0.4); | |
482 | fgFitter->SetParameter(1, "BenS", | |
483 | trackParam->GetBendingSlope(), | |
484 | 0.001, -0.5, 0.5); | |
485 | fgFitter->SetParameter(2, "NonBenS", | |
486 | trackParam->GetNonBendingSlope(), | |
487 | 0.001, -0.5, 0.5); | |
488 | if (fFitNParam == 5) { | |
489 | // set last 2 Minuit parameters | |
490 | // mandatory limits in Bending to avoid NaN values of parameters | |
491 | fgFitter->SetParameter(3, "X", | |
492 | trackParam->GetNonBendingCoor(), | |
493 | 0.03, -500.0, 500.0); | |
494 | // mandatory limits in non Bending to avoid NaN values of parameters | |
495 | fgFitter->SetParameter(4, "Y", | |
496 | trackParam->GetBendingCoor(), | |
497 | 0.10, -500.0, 500.0); | |
498 | } | |
499 | // search without gradient calculation in the function | |
500 | fgFitter->ExecuteCommand("SET NOGRADIENT", arg, 0); | |
501 | // minimization | |
502 | fgFitter->ExecuteCommand("MINIMIZE", arg, 0); | |
503 | // exit from Minuit | |
504 | // fgFitter->ExecuteCommand("EXIT", arg, 0); // necessary ???? | |
505 | // get results into "invBenP", "benC", "nonBenC" ("x", "y") | |
506 | fgFitter->GetParameter(0, parName, invBenP, errorParam, lower, upper); | |
507 | fgFitter->GetParameter(1, parName, benC, errorParam, lower, upper); | |
508 | fgFitter->GetParameter(2, parName, nonBenC, errorParam, lower, upper); | |
509 | if (fFitNParam == 5) { | |
510 | fgFitter->GetParameter(3, parName, x, errorParam, lower, upper); | |
511 | fgFitter->GetParameter(4, parName, y, errorParam, lower, upper); | |
512 | } | |
513 | // result of the fit into track parameters | |
514 | trackParam->SetInverseBendingMomentum(invBenP); | |
515 | trackParam->SetBendingSlope(benC); | |
516 | trackParam->SetNonBendingSlope(nonBenC); | |
517 | if (fFitNParam == 5) { | |
518 | trackParam->SetNonBendingCoor(x); | |
519 | trackParam->SetBendingCoor(y); | |
520 | } | |
521 | // global result of the fit | |
522 | Double_t fedm, errdef; | |
523 | Int_t npari, nparx; | |
524 | fgFitter->GetStats(fFitFMin, fedm, errdef, npari, nparx); | |
525 | } | |
526 | ||
527 | //__________________________________________________________________________ | |
528 | void AliMUONTrack::AddSegment(AliMUONSegment* Segment) | |
529 | { | |
530 | // Add Segment to the track | |
531 | AddHitForRec(Segment->GetHitForRec1()); // 1st hit | |
532 | AddHitForRec(Segment->GetHitForRec2()); // 2nd hit | |
533 | } | |
534 | ||
535 | //__________________________________________________________________________ | |
536 | void AliMUONTrack::AddHitForRec(AliMUONHitForRec* HitForRec) | |
537 | { | |
538 | // Add HitForRec to the track: | |
539 | // actual TrackHit into TClonesArray of TrackHit's for the event; | |
540 | // pointer to actual TrackHit in TObjArray of pointers to TrackHit's for the track | |
541 | TClonesArray *recTrackHitsPtr = this->fEventReconstructor->GetRecTrackHitsPtr(); | |
542 | Int_t eventTrackHits = this->fEventReconstructor->GetNRecTrackHits(); | |
543 | // event | |
544 | AliMUONTrackHit* trackHit = | |
545 | new ((*recTrackHitsPtr)[eventTrackHits]) AliMUONTrackHit(HitForRec); | |
546 | this->fEventReconstructor->SetNRecTrackHits(eventTrackHits + 1); | |
547 | // track | |
548 | fTrackHitsPtr->Add(trackHit); | |
549 | fNTrackHits++; | |
550 | } | |
551 | ||
552 | //__________________________________________________________________________ | |
553 | void AliMUONTrack::SetTrackParamAtHit(Int_t indexHit, AliMUONTrackParam *TrackParam) const | |
554 | { | |
555 | // Set track parameters at TrackHit with index "indexHit" | |
556 | // from the track parameters pointed to by "TrackParam". | |
557 | //PH AliMUONTrackHit* trackHit = (AliMUONTrackHit*) ((*fTrackHitsPtr)[indexHit]); | |
558 | AliMUONTrackHit* trackHit = (AliMUONTrackHit*) (fTrackHitsPtr->At(indexHit)); | |
559 | trackHit->SetTrackParam(TrackParam); | |
560 | } | |
561 | ||
562 | //__________________________________________________________________________ | |
563 | void AliMUONTrack::SetTrackParamAtVertex() | |
564 | { | |
565 | // Set track parameters at vertex. | |
566 | // TrackHit's are assumed to be only in stations(1..) 4 and 5, | |
567 | // and sorted according to increasing Z.. | |
568 | // Parameters are calculated from information in HitForRec's | |
569 | // of first and last TrackHit's. | |
570 | AliMUONTrackParam *trackParam = | |
571 | &fTrackParamAtVertex; // pointer to track parameters | |
572 | // Pointer to HitForRec of first TrackHit | |
573 | AliMUONHitForRec *firstHit = | |
574 | ((AliMUONTrackHit*) (fTrackHitsPtr->First()))->GetHitForRecPtr(); | |
575 | // Pointer to HitForRec of last TrackHit | |
576 | AliMUONHitForRec *lastHit = | |
577 | ((AliMUONTrackHit*) (fTrackHitsPtr->Last()))->GetHitForRecPtr(); | |
578 | // Z difference between first and last hits | |
579 | Double_t deltaZ = firstHit->GetZ() - lastHit->GetZ(); | |
580 | // bending slope in stations(1..) 4 and 5 | |
581 | Double_t bendingSlope = | |
582 | (firstHit->GetBendingCoor() - lastHit->GetBendingCoor()) / deltaZ; | |
583 | trackParam->SetBendingSlope(bendingSlope); | |
584 | // impact parameter | |
585 | Double_t impactParam = | |
586 | firstHit->GetBendingCoor() - bendingSlope * firstHit->GetZ(); // same if from firstHit and lastHit ???? | |
587 | // signed bending momentum | |
588 | Double_t signedBendingMomentum = | |
589 | fEventReconstructor->GetBendingMomentumFromImpactParam(impactParam); | |
590 | trackParam->SetInverseBendingMomentum(1.0 / signedBendingMomentum); | |
591 | // bending slope at vertex | |
592 | trackParam-> | |
593 | SetBendingSlope(bendingSlope + | |
594 | impactParam / fEventReconstructor->GetSimpleBPosition()); | |
595 | // non bending slope | |
596 | Double_t nonBendingSlope = | |
597 | (firstHit->GetNonBendingCoor() - lastHit->GetNonBendingCoor()) / deltaZ; | |
598 | trackParam->SetNonBendingSlope(nonBendingSlope); | |
599 | // vertex coordinates at (0,0,0) | |
600 | trackParam->SetZ(0.0); | |
601 | trackParam->SetBendingCoor(0.0); | |
602 | trackParam->SetNonBendingCoor(0.0); | |
603 | } | |
604 | ||
605 | //__________________________________________________________________________ | |
606 | void TrackChi2(Int_t &NParam, Double_t * /*Gradient*/, Double_t &Chi2, Double_t *Param, Int_t /*Flag*/) | |
607 | { | |
608 | // Return the "Chi2" to be minimized with Minuit for track fitting, | |
609 | // with "NParam" parameters | |
610 | // and their current values in array pointed to by "Param". | |
611 | // Assumes that the track hits are sorted according to increasing Z. | |
612 | // Track parameters at each TrackHit are updated accordingly. | |
613 | // Multiple Coulomb scattering is not taken into account | |
614 | AliMUONTrack *trackBeingFitted; | |
615 | AliMUONTrackHit* hit; | |
616 | AliMUONTrackParam param1; | |
617 | Int_t hitNumber; | |
618 | Double_t zHit; | |
619 | Chi2 = 0.0; // initialize Chi2 | |
620 | // copy of track parameters to be fitted | |
621 | trackBeingFitted = (AliMUONTrack*) AliMUONTrack::Fitter()->GetObjectFit(); | |
622 | if (trackBeingFitted->GetFitStart() == 0) | |
623 | param1 = *(trackBeingFitted->GetTrackParamAtVertex()); | |
624 | else param1 = *(trackBeingFitted->GetTrackParamAtFirstHit()); | |
625 | // Minuit parameters to be fitted into this copy | |
626 | param1.SetInverseBendingMomentum(Param[0]); | |
627 | param1.SetBendingSlope(Param[1]); | |
628 | param1.SetNonBendingSlope(Param[2]); | |
629 | if (NParam == 5) { | |
630 | param1.SetNonBendingCoor(Param[3]); | |
631 | param1.SetBendingCoor(Param[4]); | |
632 | } | |
633 | // Follow track through all planes of track hits | |
634 | for (hitNumber = 0; hitNumber < trackBeingFitted->GetNTrackHits(); hitNumber++) { | |
635 | hit = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber]; | |
636 | zHit = hit->GetHitForRecPtr()->GetZ(); | |
637 | // do something special if 2 hits with same Z ???? | |
638 | // security against infinite loop ???? | |
639 | (¶m1)->ExtrapToZ(zHit); // extrapolation | |
640 | hit->SetTrackParam(¶m1); | |
641 | // Increment Chi2 | |
642 | // done hit per hit, with hit resolution, | |
643 | // and not with point and angle like in "reco_muon.F" !!!! | |
644 | // Needs to add multiple scattering contribution ???? | |
645 | Double_t dX = | |
646 | hit->GetHitForRecPtr()->GetNonBendingCoor() - (¶m1)->GetNonBendingCoor(); | |
647 | Double_t dY = | |
648 | hit->GetHitForRecPtr()->GetBendingCoor() - (¶m1)->GetBendingCoor(); | |
649 | Chi2 = | |
650 | Chi2 + | |
651 | dX * dX / hit->GetHitForRecPtr()->GetNonBendingReso2() + | |
652 | dY * dY / hit->GetHitForRecPtr()->GetBendingReso2(); | |
653 | } | |
654 | } | |
655 | ||
656 | //__________________________________________________________________________ | |
657 | void TrackChi2MCS(Int_t &NParam, Double_t * /*Gradient*/, Double_t &Chi2, Double_t *Param, Int_t /*Flag*/) | |
658 | { | |
659 | // Return the "Chi2" to be minimized with Minuit for track fitting, | |
660 | // with "NParam" parameters | |
661 | // and their current values in array pointed to by "Param". | |
662 | // Assumes that the track hits are sorted according to increasing Z. | |
663 | // Track parameters at each TrackHit are updated accordingly. | |
664 | // Multiple Coulomb scattering is taken into account with covariance matrix. | |
665 | AliMUONTrack *trackBeingFitted; | |
666 | AliMUONTrackParam param1; | |
667 | Chi2 = 0.0; // initialize Chi2 | |
668 | // copy of track parameters to be fitted | |
669 | trackBeingFitted = (AliMUONTrack*) AliMUONTrack::Fitter()->GetObjectFit(); | |
670 | if (trackBeingFitted->GetFitStart() == 0) | |
671 | param1 = *(trackBeingFitted->GetTrackParamAtVertex()); | |
672 | else param1 = *(trackBeingFitted->GetTrackParamAtFirstHit()); | |
673 | // Minuit parameters to be fitted into this copy | |
674 | param1.SetInverseBendingMomentum(Param[0]); | |
675 | param1.SetBendingSlope(Param[1]); | |
676 | param1.SetNonBendingSlope(Param[2]); | |
677 | if (NParam == 5) { | |
678 | param1.SetNonBendingCoor(Param[3]); | |
679 | param1.SetBendingCoor(Param[4]); | |
680 | } | |
681 | ||
682 | AliMUONTrackHit *hit; | |
683 | Int_t chCurrent, chPrev = 0, hitNumber, hitNumber1, hitNumber2, hitNumber3; | |
684 | Double_t z, z1, z2, z3; | |
685 | AliMUONTrackHit *hit1, *hit2, *hit3; | |
686 | Double_t hbc1, hbc2, pbc1, pbc2; | |
687 | Double_t hnbc1, hnbc2, pnbc1, pnbc2; | |
688 | Int_t numberOfHit = trackBeingFitted->GetNTrackHits(); | |
689 | TMatrixD *covBending = new TMatrixD(numberOfHit, numberOfHit); | |
690 | TMatrixD *covNonBending = new TMatrixD(numberOfHit, numberOfHit); | |
691 | Double_t *msa2 = new Double_t[numberOfHit]; | |
692 | ||
693 | // Predicted coordinates and multiple scattering angles are first calculated | |
694 | for (hitNumber = 0; hitNumber < numberOfHit; hitNumber++) { | |
695 | hit = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber]; | |
696 | z = hit->GetHitForRecPtr()->GetZ(); | |
697 | // do something special if 2 hits with same Z ???? | |
698 | // security against infinite loop ???? | |
699 | (¶m1)->ExtrapToZ(z); // extrapolation | |
700 | hit->SetTrackParam(¶m1); | |
701 | // square of multiple scattering angle at current hit, with one chamber | |
702 | msa2[hitNumber] = MultipleScatteringAngle2(hit); | |
703 | // correction for eventual missing hits or multiple hits in a chamber, | |
704 | // according to the number of chambers | |
705 | // between the current hit and the previous one | |
706 | chCurrent = hit->GetHitForRecPtr()->GetChamberNumber(); | |
707 | if (hitNumber > 0) msa2[hitNumber] = msa2[hitNumber] * (chCurrent - chPrev); | |
708 | chPrev = chCurrent; | |
709 | } | |
710 | ||
711 | // Calculates the covariance matrix | |
712 | for (hitNumber1 = 0; hitNumber1 < numberOfHit; hitNumber1++) { | |
713 | hit1 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber1]; | |
714 | z1 = hit1->GetHitForRecPtr()->GetZ(); | |
715 | for (hitNumber2 = hitNumber1; hitNumber2 < numberOfHit; hitNumber2++) { | |
716 | hit2 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber2]; | |
717 | z2 = hit2->GetHitForRecPtr()->GetZ(); | |
718 | // initialization to 0 (diagonal plus upper triangular part) | |
719 | (*covBending)(hitNumber2, hitNumber1) = 0.0; | |
720 | // contribution from multiple scattering in bending plane: | |
721 | // loop over upstream hits | |
722 | for (hitNumber3 = 0; hitNumber3 < hitNumber1; hitNumber3++) { | |
723 | hit3 = (AliMUONTrackHit*) | |
724 | (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber3]; | |
725 | z3 = hit3->GetHitForRecPtr()->GetZ(); | |
726 | (*covBending)(hitNumber2, hitNumber1) = | |
727 | (*covBending)(hitNumber2, hitNumber1) + | |
728 | ((z1 - z3) * (z2 - z3) * msa2[hitNumber3]); | |
729 | } | |
730 | // equal contribution from multiple scattering in non bending plane | |
731 | (*covNonBending)(hitNumber2, hitNumber1) = | |
732 | (*covBending)(hitNumber2, hitNumber1); | |
733 | if (hitNumber1 == hitNumber2) { | |
734 | // Diagonal elements: add contribution from position measurements | |
735 | // in bending plane | |
736 | (*covBending)(hitNumber2, hitNumber1) = | |
737 | (*covBending)(hitNumber2, hitNumber1) + | |
738 | hit1->GetHitForRecPtr()->GetBendingReso2(); | |
739 | // and in non bending plane | |
740 | (*covNonBending)(hitNumber2, hitNumber1) = | |
741 | (*covNonBending)(hitNumber2, hitNumber1) + | |
742 | hit1->GetHitForRecPtr()->GetNonBendingReso2(); | |
743 | } | |
744 | else { | |
745 | // Non diagonal elements: symmetrization | |
746 | // for bending plane | |
747 | (*covBending)(hitNumber1, hitNumber2) = | |
748 | (*covBending)(hitNumber2, hitNumber1); | |
749 | // and non bending plane | |
750 | (*covNonBending)(hitNumber1, hitNumber2) = | |
751 | (*covNonBending)(hitNumber2, hitNumber1); | |
752 | } | |
753 | } // for (hitNumber2 = hitNumber1;... | |
754 | } // for (hitNumber1 = 0;... | |
755 | ||
756 | // Inversion of covariance matrices | |
757 | // with "mnvertLocal", local "mnvert" function of Minuit. | |
758 | // One cannot use directly "mnvert" since "TVirtualFitter" does not know it. | |
759 | // One will have to replace this local function by the right inversion function | |
760 | // from a specialized Root package for symmetric positive definite matrices, | |
761 | // when available!!!! | |
762 | Int_t ifailBending; | |
763 | mnvertLocal(&((*covBending)(0,0)), numberOfHit, numberOfHit, numberOfHit, | |
764 | ifailBending); | |
765 | Int_t ifailNonBending; | |
766 | mnvertLocal(&((*covNonBending)(0,0)), numberOfHit, numberOfHit, numberOfHit, | |
767 | ifailNonBending); | |
768 | ||
769 | // It would be worth trying to calculate the inverse of the covariance matrix | |
770 | // only once per fit, since it cannot change much in principle, | |
771 | // and it would save a lot of computing time !!!! | |
772 | ||
773 | // Calculates Chi2 | |
774 | if ((ifailBending == 0) && (ifailNonBending == 0)) { | |
775 | // with Multiple Scattering if inversion correct | |
776 | for (hitNumber1 = 0; hitNumber1 < numberOfHit ; hitNumber1++) { | |
777 | hit1 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber1]; | |
778 | hbc1 = hit1->GetHitForRecPtr()->GetBendingCoor(); | |
779 | pbc1 = hit1->GetTrackParam()->GetBendingCoor(); | |
780 | hnbc1 = hit1->GetHitForRecPtr()->GetNonBendingCoor(); | |
781 | pnbc1 = hit1->GetTrackParam()->GetNonBendingCoor(); | |
782 | for (hitNumber2 = 0; hitNumber2 < numberOfHit; hitNumber2++) { | |
783 | hit2 = (AliMUONTrackHit*) | |
784 | (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber2]; | |
785 | hbc2 = hit2->GetHitForRecPtr()->GetBendingCoor(); | |
786 | pbc2 = hit2->GetTrackParam()->GetBendingCoor(); | |
787 | hnbc2 = hit2->GetHitForRecPtr()->GetNonBendingCoor(); | |
788 | pnbc2 = hit2->GetTrackParam()->GetNonBendingCoor(); | |
789 | Chi2 = Chi2 + | |
790 | ((*covBending)(hitNumber2, hitNumber1) * | |
791 | (hbc1 - pbc1) * (hbc2 - pbc2)) + | |
792 | ((*covNonBending)(hitNumber2, hitNumber1) * | |
793 | (hnbc1 - pnbc1) * (hnbc2 - pnbc2)); | |
794 | } | |
795 | } | |
796 | } else { | |
797 | // without Multiple Scattering if inversion impossible | |
798 | for (hitNumber1 = 0; hitNumber1 < numberOfHit ; hitNumber1++) { | |
799 | hit1 = (AliMUONTrackHit*) (*(trackBeingFitted->GetTrackHitsPtr()))[hitNumber1]; | |
800 | hbc1 = hit1->GetHitForRecPtr()->GetBendingCoor(); | |
801 | pbc1 = hit1->GetTrackParam()->GetBendingCoor(); | |
802 | hnbc1 = hit1->GetHitForRecPtr()->GetNonBendingCoor(); | |
803 | pnbc1 = hit1->GetTrackParam()->GetNonBendingCoor(); | |
804 | Chi2 = Chi2 + | |
805 | ((hbc1 - pbc1) * (hbc1 - pbc1) / | |
806 | hit1->GetHitForRecPtr()->GetBendingReso2()) + | |
807 | ((hnbc1 - pnbc1) * (hnbc1 - pnbc1) / | |
808 | hit1->GetHitForRecPtr()->GetNonBendingReso2()); | |
809 | } | |
810 | } | |
811 | ||
812 | delete covBending; | |
813 | delete covNonBending; | |
814 | delete [] msa2; | |
815 | } | |
816 | ||
817 | Double_t MultipleScatteringAngle2(AliMUONTrackHit *TrackHit) | |
818 | { | |
819 | // Returns square of multiple Coulomb scattering angle | |
820 | // at TrackHit pointed to by "TrackHit" | |
821 | Double_t slopeBending, slopeNonBending, radiationLength, inverseBendingMomentum2, inverseTotalMomentum2; | |
822 | Double_t varMultipleScatteringAngle; | |
823 | AliMUONTrack *trackBeingFitted = (AliMUONTrack*) AliMUONTrack::Fitter()->GetObjectFit(); | |
824 | AliMUONTrackParam *param = TrackHit->GetTrackParam(); | |
825 | // Better implementation in AliMUONTrack class ???? | |
826 | slopeBending = param->GetBendingSlope(); | |
827 | slopeNonBending = param->GetNonBendingSlope(); | |
828 | // thickness in radiation length for the current track, | |
829 | // taking local angle into account | |
830 | radiationLength = | |
831 | trackBeingFitted->GetEventReconstructor()->GetChamberThicknessInX0() * | |
832 | TMath::Sqrt(1.0 + | |
833 | slopeBending * slopeBending + slopeNonBending * slopeNonBending); | |
834 | inverseBendingMomentum2 = | |
835 | param->GetInverseBendingMomentum() * param->GetInverseBendingMomentum(); | |
836 | inverseTotalMomentum2 = | |
837 | inverseBendingMomentum2 * (1.0 + slopeBending * slopeBending) / | |
838 | (1.0 + slopeBending *slopeBending + slopeNonBending * slopeNonBending); | |
839 | varMultipleScatteringAngle = 0.0136 * (1.0 + 0.038 * TMath::Log(radiationLength)); | |
840 | // The velocity is assumed to be 1 !!!! | |
841 | varMultipleScatteringAngle = inverseTotalMomentum2 * radiationLength * | |
842 | varMultipleScatteringAngle * varMultipleScatteringAngle; | |
843 | return varMultipleScatteringAngle; | |
844 | } | |
845 | ||
846 | //______________________________________________________________________________ | |
847 | void mnvertLocal(Double_t *a, Int_t l, Int_t, Int_t n, Int_t &ifail) | |
848 | { | |
849 | //*-*-*-*-*-*-*-*-*-*-*-*Inverts a symmetric matrix*-*-*-*-*-*-*-*-*-*-*-*-* | |
850 | //*-* ========================== | |
851 | //*-* inverts a symmetric matrix. matrix is first scaled to | |
852 | //*-* have all ones on the diagonal (equivalent to change of units) | |
853 | //*-* but no pivoting is done since matrix is positive-definite. | |
854 | //*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-*-* | |
855 | ||
856 | // taken from TMinuit package of Root (l>=n) | |
857 | // fVERTs, fVERTq and fVERTpp changed to localVERTs, localVERTq and localVERTpp | |
858 | // Double_t localVERTs[n], localVERTq[n], localVERTpp[n]; | |
859 | Double_t * localVERTs = new Double_t[n]; | |
860 | Double_t * localVERTq = new Double_t[n]; | |
861 | Double_t * localVERTpp = new Double_t[n]; | |
862 | // fMaxint changed to localMaxint | |
863 | Int_t localMaxint = n; | |
864 | ||
865 | /* System generated locals */ | |
866 | Int_t aOffset; | |
867 | ||
868 | /* Local variables */ | |
869 | Double_t si; | |
870 | Int_t i, j, k, kp1, km1; | |
871 | ||
872 | /* Parameter adjustments */ | |
873 | aOffset = l + 1; | |
874 | a -= aOffset; | |
875 | ||
876 | /* Function Body */ | |
877 | ifail = 0; | |
878 | if (n < 1) goto L100; | |
879 | if (n > localMaxint) goto L100; | |
880 | //*-*- scale matrix by sqrt of diag elements | |
881 | for (i = 1; i <= n; ++i) { | |
882 | si = a[i + i*l]; | |
883 | if (si <= 0) goto L100; | |
884 | localVERTs[i-1] = 1 / TMath::Sqrt(si); | |
885 | } | |
886 | for (i = 1; i <= n; ++i) { | |
887 | for (j = 1; j <= n; ++j) { | |
888 | a[i + j*l] = a[i + j*l]*localVERTs[i-1]*localVERTs[j-1]; | |
889 | } | |
890 | } | |
891 | //*-*- . . . start main loop . . . . | |
892 | for (i = 1; i <= n; ++i) { | |
893 | k = i; | |
894 | //*-*- preparation for elimination step1 | |
895 | if (a[k + k*l] != 0) localVERTq[k-1] = 1 / a[k + k*l]; | |
896 | else goto L100; | |
897 | localVERTpp[k-1] = 1; | |
898 | a[k + k*l] = 0; | |
899 | kp1 = k + 1; | |
900 | km1 = k - 1; | |
901 | if (km1 < 0) goto L100; | |
902 | else if (km1 == 0) goto L50; | |
903 | else goto L40; | |
904 | L40: | |
905 | for (j = 1; j <= km1; ++j) { | |
906 | localVERTpp[j-1] = a[j + k*l]; | |
907 | localVERTq[j-1] = a[j + k*l]*localVERTq[k-1]; | |
908 | a[j + k*l] = 0; | |
909 | } | |
910 | L50: | |
911 | if (k - n < 0) goto L51; | |
912 | else if (k - n == 0) goto L60; | |
913 | else goto L100; | |
914 | L51: | |
915 | for (j = kp1; j <= n; ++j) { | |
916 | localVERTpp[j-1] = a[k + j*l]; | |
917 | localVERTq[j-1] = -a[k + j*l]*localVERTq[k-1]; | |
918 | a[k + j*l] = 0; | |
919 | } | |
920 | //*-*- elimination proper | |
921 | L60: | |
922 | for (j = 1; j <= n; ++j) { | |
923 | for (k = j; k <= n; ++k) { a[j + k*l] += localVERTpp[j-1]*localVERTq[k-1]; } | |
924 | } | |
925 | } | |
926 | //*-*- elements of left diagonal and unscaling | |
927 | for (j = 1; j <= n; ++j) { | |
928 | for (k = 1; k <= j; ++k) { | |
929 | a[k + j*l] = a[k + j*l]*localVERTs[k-1]*localVERTs[j-1]; | |
930 | a[j + k*l] = a[k + j*l]; | |
931 | } | |
932 | } | |
933 | delete [] localVERTs; | |
934 | delete [] localVERTq; | |
935 | delete [] localVERTpp; | |
936 | return; | |
937 | //*-*- failure return | |
938 | L100: | |
939 | delete [] localVERTs; | |
940 | delete [] localVERTq; | |
941 | delete [] localVERTpp; | |
942 | ifail = 1; | |
943 | } /* mnvertLocal */ | |
944 |