1 /**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
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 **************************************************************************/
18 //-------------------------------------------------------------------------
19 // Class AliMUONFastTracking
21 // Manager for the fast simulation of tracking in the muon spectrometer
22 // This class reads the lookup tables containing the parameterization
23 // of the deltap, deltatheta, deltaphi for different background levels
24 // and provides the related smeared parameters.
25 // Used by AliFastMuonTrackingEff, AliFastMuonTrackingAcc,
26 // AliFastMuonTrackingRes.
27 //-------------------------------------------------------------------------
33 #include <Riostream.h>
41 #include "AliMUONFastTracking.h"
42 #include "AliMUONFastTrackingEntry.h"
44 ClassImp(AliMUONFastTracking)
47 AliMUONFastTracking* AliMUONFastTracking::fgMUONFastTracking=NULL;
49 static Double_t FitP(Double_t *x, Double_t *par){
50 Double_t dx = x[0] - par[0];
51 Double_t dx2 = x[0] - par[4];
52 Double_t sigma = par[1] * ( 1 + par[2] * dx);
57 Double_t fasymm = TMath::Exp(-0.5 * dx * dx / (sigma * sigma));
58 Double_t sigma2 = par[1] * par[5];
59 Double_t fgauss = TMath::Exp(-0.5 * dx2 * dx2 / (sigma2 * sigma2));
60 Double_t value = fasymm + par[3] * fgauss;
61 return TMath::Abs(value);
64 AliMUONFastTracking::AliMUONFastTracking(const AliMUONFastTracking & ft):
69 fDeltaP((fPmax-fPmin)/fNbinp),
73 fDeltaTheta((fThetamax-fThetamin)/fNbintheta),
77 fDeltaPhi((fPhimax-fPhimin)/fNbinphi),
88 AliMUONFastTracking* AliMUONFastTracking::Instance()
90 // Set random number generator
91 if (fgMUONFastTracking) {
92 return fgMUONFastTracking;
94 fgMUONFastTracking = new AliMUONFastTracking();
95 return fgMUONFastTracking;
99 AliMUONFastTracking::AliMUONFastTracking():
103 fDeltaP((fPmax-fPmin)/fNbinp),
107 fDeltaTheta((fThetamax-fThetamin)/fNbintheta),
111 fDeltaPhi((fPhimax-fPhimin)/fNbinphi),
120 for (Int_t i = 0; i<20;i++) {
121 for (Int_t j = 0; j<20; j++) {
122 for (Int_t k = 0; k<20; k++) {
123 fFitp[i][j][k] = 0x0;
129 void AliMUONFastTracking::Init(Float_t bkg)
134 for (Int_t ip=0; ip< fNbinp; ip++){
135 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
136 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
137 fCurrentEntry[ip][itheta][iphi] = new AliMUONFastTrackingEntry;
138 for (Int_t ibkg=0; ibkg<4; ibkg++){
139 fEntry[ip][itheta][iphi][ibkg] = new AliMUONFastTrackingEntry;
146 if (fClusterFinder==kOld) sprintf (filename,"$(ALICE_ROOT)/FASTSIM/data/MUONtrackLUT.root");
147 else sprintf (filename,"$(ALICE_ROOT)/FASTSIM/data/MUONtrackLUT-AZ.root");
149 TFile *file = new TFile(filename);
156 void AliMUONFastTracking::ReadLUT(TFile* file)
159 // read the lookup tables from file
161 TH3F *heff[5][3], *hacc[5][3], *hmeanp, *hsigmap, *hsigma1p, *hchi2p;
162 TH3F *hnormg2, *hmeang2, *hsigmag2, *hmeantheta, *hsigmatheta, *hchi2theta;
163 TH3F *hmeanphi, *hsigmaphi, *hchi2phi;
164 char tag[40], tag2[40];
166 printf ("Reading parameters from LUT file %s...\n",file->GetName());
168 const Float_t kBkg[4] = {0, 0.5, 1, 2};
169 for (Int_t ibkg=0; ibkg<4; ibkg++) {
170 sprintf (tag,"BKG%g",kBkg[ibkg]);
172 for (Int_t isplp = 0; isplp<kSplitP; isplp++) {
173 for (Int_t ispltheta = 0; ispltheta<kSplitTheta; ispltheta++) {
174 sprintf (tag2,"heff[%d][%d]",isplp,ispltheta);
175 heff[isplp][ispltheta] = (TH3F*)gDirectory->Get(tag2);
176 sprintf (tag2,"hacc[%d][%d]",isplp,ispltheta);
177 hacc[isplp][ispltheta] = (TH3F*)gDirectory->Get(tag2);
180 hmeanp = (TH3F*)gDirectory->Get("hmeanp");
181 hsigmap = (TH3F*)gDirectory->Get("hsigmap");
182 hsigma1p = (TH3F*)gDirectory->Get("hsigma1p");
183 hchi2p = (TH3F*)gDirectory->Get("hchi2p");
184 hnormg2 = (TH3F*)gDirectory->Get("hnormg2");
185 hmeang2 = (TH3F*)gDirectory->Get("hmeang2");
186 hsigmag2 = (TH3F*)gDirectory->Get("hsigmag2");
187 hmeantheta = (TH3F*)gDirectory->Get("hmeantheta");
188 hsigmatheta = (TH3F*)gDirectory->Get("hsigmatheta");
189 hchi2theta = (TH3F*)gDirectory->Get("hchi2theta");
190 hmeanphi = (TH3F*)gDirectory->Get("hmeanphi");
191 hsigmaphi = (TH3F*)gDirectory->Get("hsigmaphi");
192 hchi2phi = (TH3F*)gDirectory->Get("hchi2phi");
194 for (Int_t ip=0; ip<fNbinp ;ip++) {
195 for (Int_t itheta=0; itheta<fNbintheta ;itheta++) {
196 for (Int_t iphi=0; iphi<fNbinphi ;iphi++) {
197 Float_t p = fPmin + fDeltaP * (ip + 0.5);
198 Float_t theta = fThetamin + fDeltaTheta * (itheta + 0.5);
199 Float_t phi = fPhimin + fDeltaPhi * (iphi + 0.5);
201 fEntry[ip][itheta][iphi][ibkg]->SetP(p);
202 fEntry[ip][itheta][iphi][ibkg]->SetMeanp(hmeanp->GetBinContent(ip+1,itheta+1,iphi+1));
203 fEntry[ip][itheta][iphi][ibkg]->SetSigmap(TMath::Abs(hsigmap->GetBinContent(ip+1,itheta+1,iphi+1)));
204 fEntry[ip][itheta][iphi][ibkg]->SetSigma1p(hsigma1p->GetBinContent(ip+1,itheta+1,iphi+1));
205 fEntry[ip][itheta][iphi][ibkg]->SetChi2p(hchi2p->GetBinContent(ip+1,itheta+1,iphi+1));
206 fEntry[ip][itheta][iphi][ibkg]->SetNormG2(hnormg2->GetBinContent(ip+1,itheta+1,iphi+1));
207 fEntry[ip][itheta][iphi][ibkg]->SetMeanG2(hmeang2->GetBinContent(ip+1,itheta+1,iphi+1));
208 if (ibkg == 0) fEntry[ip][itheta][iphi][ibkg]->SetSigmaG2(9999);
209 else fEntry[ip][itheta][iphi][ibkg]->SetSigmaG2(hsigmag2->GetBinContent(ip+1,itheta+1,iphi+1));
210 fEntry[ip][itheta][iphi][ibkg]->SetTheta(theta);
211 fEntry[ip][itheta][iphi][ibkg]->SetMeantheta(hmeantheta->GetBinContent(ip+1,itheta+1,iphi+1));
212 fEntry[ip][itheta][iphi][ibkg]->SetSigmatheta(TMath::Abs(hsigmatheta->GetBinContent(ip+1,itheta+1,iphi+1)));
213 fEntry[ip][itheta][iphi][ibkg]->SetChi2theta(hchi2theta->GetBinContent(ip+1,itheta+1,iphi+1));
214 fEntry[ip][itheta][iphi][ibkg]->SetPhi(phi);
215 fEntry[ip][itheta][iphi][ibkg]->SetMeanphi(hmeanphi->GetBinContent(ip+1,itheta+1,iphi+1));
216 fEntry[ip][itheta][iphi][ibkg]->SetSigmaphi(TMath::Abs(hsigmaphi->GetBinContent(ip+1,itheta+1,iphi+1)));
217 fEntry[ip][itheta][iphi][ibkg]->SetChi2phi(hchi2phi->GetBinContent(ip+1,itheta+1,iphi+1));
218 for (Int_t i=0; i<kSplitP; i++) {
219 for (Int_t j=0; j<kSplitTheta; j++) {
220 fEntry[ip][itheta][iphi][ibkg]->SetAcc(i,j,hacc[i][j]->GetBinContent(ip+1,itheta+1,iphi+1));
221 fEntry[ip][itheta][iphi][ibkg]->SetEff(i,j,heff[i][j]->GetBinContent(ip+1,itheta+1,iphi+1));
229 TGraph *graph = new TGraph(3);
230 TF1 *f = new TF1("f","[0]+[1]*x");
232 for (Int_t ip=0; ip< fNbinp; ip++){
233 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
234 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
235 graph->SetPoint(0,0.5,fEntry[ip][itheta][iphi][1]->GetSigmaG2());
236 graph->SetPoint(1,1,fEntry[ip][itheta][iphi][2]->GetSigmaG2());
237 graph->SetPoint(2,2,fEntry[ip][itheta][iphi][3]->GetSigmaG2());
239 fEntry[ip][itheta][iphi][0]->SetSigmaG2(f->Eval(0));
245 printf ("parameters read. \n");
248 void AliMUONFastTracking::GetBinning(Int_t &nbinp, Float_t &pmin, Float_t &pmax,
249 Int_t &nbintheta, Float_t &thetamin,
251 Int_t &nbinphi, Float_t &phimin, Float_t &phimax) const
254 // gets the binning for the discrete parametrizations in the lookup table
259 nbintheta = fNbintheta;
260 thetamin = fThetamin;
261 thetamax = fThetamax;
268 void AliMUONFastTracking::GetIpIthetaIphi(Float_t p, Float_t theta, Float_t phi,
269 Int_t charge, Int_t &ip, Int_t &itheta,
273 // gets the id of the cells in the LUT for a given (p,theta,phi, charge)
275 if (charge < 0) phi = -phi;
276 ip = Int_t (( p - fPmin ) / fDeltaP);
277 itheta = Int_t (( theta - fThetamin ) / fDeltaTheta);
278 iphi = Int_t (( phi - fPhimin ) / fDeltaPhi);
282 if (ip>= fNbinp) ip = fNbinp-1;
283 if (itheta< 0) itheta = 0;
284 if (itheta>= fNbintheta) itheta = fNbintheta-1;
286 if (iphi< 0) iphi = 0;
287 if (iphi>= fNbinphi) iphi = fNbinphi-1;
290 void AliMUONFastTracking::GetSplit(Int_t ip, Int_t itheta,
291 Int_t &nSplitP, Int_t &nSplitTheta) const
294 // the first cell is splitted in more bins for theta and momentum
295 // parameterizations. Get the number of divisions for the splitted bins
297 if (ip==0) nSplitP = 5;
299 if (itheta==0) nSplitTheta = 3;
300 else nSplitTheta = 1;
303 Float_t AliMUONFastTracking::Efficiency(Float_t p, Float_t theta,
304 Float_t phi, Int_t charge){
306 // gets the tracking efficiency
308 Int_t ip=0, itheta=0, iphi=0;
309 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
310 Int_t nSplitP, nSplitTheta;
311 GetSplit(ip,itheta,nSplitP,nSplitTheta);
313 Float_t dp = p - fPmin;
314 Int_t ibinp = Int_t(nSplitP*(dp - fDeltaP * Int_t(dp / fDeltaP))/fDeltaP);
315 Float_t dtheta = theta - fThetamin;
316 Int_t ibintheta = Int_t(nSplitTheta*(dtheta - fDeltaTheta * Int_t(dtheta / fDeltaTheta))/fDeltaTheta);
317 Float_t eff = fCurrentEntry[ip][itheta][iphi]->GetEff(ibinp,ibintheta);
321 Float_t AliMUONFastTracking::Acceptance(Float_t p, Float_t theta,
322 Float_t phi, Int_t charge){
324 // gets the geometrical acceptance
326 if (theta<fThetamin || theta>fThetamax) return 0;
328 Int_t ip=0, itheta=0, iphi=0;
329 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
330 Int_t nSplitP, nSplitTheta;
331 GetSplit(ip,itheta,nSplitP,nSplitTheta);
332 // central value and corrections with spline
334 Float_t dp = p - fPmin;
335 Int_t ibinp = Int_t(nSplitP*(dp - fDeltaP * Int_t(dp / fDeltaP))/fDeltaP);
336 Float_t dtheta = theta - fThetamin;
337 Int_t ibintheta = Int_t(nSplitTheta*(dtheta - fDeltaTheta * Int_t(dtheta / fDeltaTheta))/fDeltaTheta);
338 Float_t acc = fCurrentEntry[ip][itheta][iphi]->GetAcc(ibinp,ibintheta);
342 Float_t AliMUONFastTracking::MeanP(Float_t p, Float_t theta,
343 Float_t phi, Int_t charge) const
346 // gets the mean value of the prec-pgen distribution
348 Int_t ip=0, itheta=0, iphi=0;
349 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
350 return fCurrentEntry[ip][itheta][iphi]->GetMeanp();
353 Float_t AliMUONFastTracking::SigmaP(Float_t p, Float_t theta,
354 Float_t phi, Int_t charge) const
357 // gets the width of the prec-pgen distribution
359 Int_t ip=0, itheta=0, iphi=0;
361 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
362 // central value and corrections with spline
363 Float_t sigmap = fCurrentEntry[ip][itheta][iphi]->GetSigmap();
364 if (!fSpline) return sigmap;
365 // corrections vs p, theta, phi
366 index = iphi + fNbinphi * itheta;
367 Double_t xmin,ymin,xmax,ymax;
368 Float_t frac1 = fSplineSigmap[index][0]->Eval(p)/sigmap;
370 if (p>fPmax-fDeltaP/2.) {
371 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->GetSigmap();
372 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->GetSigmap();
373 Float_t s3 = fCurrentEntry[fNbinp-3][itheta][iphi]->GetSigmap();
374 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
375 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
376 Float_t p3 = fDeltaP * (fNbinp - 3 + 0.5) + fPmin;
377 Float_t p12 = p1 * p1, p22 = p2 * p2, p32 = p3 * p3;
378 Float_t d = p12*p2 + p1*p32 + p22*p3 - p32*p2 - p3*p12 - p22*p1;
379 Float_t a = (s1*p2 + p1*s3 + s2*p3 - s3*p2 - p3*s1 - s2*p1) / d;
380 Float_t b = (p12*s2 + s1*p32 + p22*s3 - p32*s2 - s3*p12 - p22*s1)/d;
381 Float_t c = (p12*p2*s3 + p1*p32*s2 + p22*p3*s1
382 - p32*p2*s1 - p3*p12*s2 - p22*p1*s3) / d;
383 Float_t sigma = a * p * p + b * p + c;
384 frac1 = sigma/sigmap;
386 index = iphi + fNbinphi * ip;
387 fSplineEff[index][1]->GetKnot(0,xmin,ymin);
388 fSplineEff[index][1]->GetKnot(9,xmax,ymax);
389 if (theta>xmax) theta = xmax;
390 Float_t frac2 = fSplineSigmap[index][1]->Eval(theta)/sigmap;
391 index = itheta + fNbintheta * ip;
392 fSplineEff[index][2]->GetKnot(0,xmin,ymin);
393 fSplineEff[index][2]->GetKnot(9,xmax,ymax);
394 if (phi>xmax) phi = xmax;
395 Float_t frac3 = fSplineSigmap[index][2]->Eval(phi)/sigmap;
396 Float_t sigmatot = sigmap * frac1 * frac2 * frac3;
397 if (sigmatot<0) sigmatot = sigmap;
401 Float_t AliMUONFastTracking::Sigma1P(Float_t p, Float_t theta,
402 Float_t phi, Int_t charge) const
405 // gets the width correction of the prec-pgen distribution (see FitP)
407 Int_t ip=0, itheta=0, iphi=0;
408 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
410 // linear extrapolation of sigmap for p out of range
411 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->GetSigma1p();
412 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->GetSigma1p();
413 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
414 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
415 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
418 else return fCurrentEntry[ip][itheta][iphi]->GetSigma1p();
421 Float_t AliMUONFastTracking::NormG2(Float_t p, Float_t theta,
422 Float_t phi, Int_t charge) const
425 // gets the relative normalization of the background
426 // (gaussian) component in the prec-pgen distribution
428 Int_t ip=0, itheta=0, iphi=0;
429 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
431 // linear extrapolation of sigmap for p out of range
432 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->GetNormG2();
433 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->GetNormG2();
434 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
435 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
436 Float_t norm = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
439 else return fCurrentEntry[ip][itheta][iphi]->GetNormG2();
442 Float_t AliMUONFastTracking::MeanG2(Float_t p, Float_t theta,
443 Float_t phi, Int_t charge) const
446 // gets the mean value of the background
447 // (gaussian) component in the prec-pgen distribution
449 Int_t ip=0, itheta=0, iphi=0;
450 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
452 // linear extrapolation of sigmap for p out of range
453 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->GetMeanG2();
454 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->GetMeanG2();
455 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
456 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
457 Float_t norm = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
460 else return fCurrentEntry[ip][itheta][iphi]->GetMeanG2();
463 Float_t AliMUONFastTracking::SigmaG2(Float_t p, Float_t theta,
464 Float_t phi, Int_t charge) const
467 // gets the width of the background
468 // (gaussian) component in the prec-pgen distribution
470 Int_t ip=0, itheta=0, iphi=0;
471 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
473 // linear extrapolation of sigmap for p out of range
474 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->GetSigmaG2();
475 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->GetSigmaG2();
476 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
477 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
478 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
481 else return fCurrentEntry[ip][itheta][iphi]->GetSigmaG2();
485 Float_t AliMUONFastTracking::MeanTheta(Float_t p, Float_t theta,
486 Float_t phi, Int_t charge) const
489 // gets the mean value of the thetarec-thetagen distribution
491 Int_t ip=0, itheta=0, iphi=0;
492 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
493 return fCurrentEntry[ip][itheta][iphi]->GetMeantheta();
496 Float_t AliMUONFastTracking::SigmaTheta(Float_t p, Float_t theta,
497 Float_t phi, Int_t charge) const
500 // gets the width of the thetarec-thetagen distribution
502 Int_t ip=0, itheta=0, iphi=0;
504 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
505 // central value and corrections with spline
506 Float_t sigmatheta = fCurrentEntry[ip][itheta][iphi]->GetSigmatheta();
507 if (!fSpline) return sigmatheta;
508 // corrections vs p, theta, phi
509 index = iphi + fNbinphi * itheta;
510 Double_t xmin,ymin,xmax,ymax;
511 Float_t frac1 = fSplineSigmatheta[index][0]->Eval(p)/sigmatheta;
512 if (p>fPmax-fDeltaP/2.) {
513 // linear extrapolation of sigmap for p out of range
514 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->GetSigmatheta();
515 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->GetSigmatheta();
516 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
517 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
518 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
519 frac1=sigma/sigmatheta;
521 index = iphi + fNbinphi * ip;
522 fSplineEff[index][1]->GetKnot(0,xmin,ymin);
523 fSplineEff[index][1]->GetKnot(9,xmax,ymax);
524 if (theta>xmax) theta = xmax;
525 Float_t frac2 = fSplineSigmatheta[index][1]->Eval(theta)/sigmatheta;
526 index = itheta + fNbintheta * ip;
527 fSplineEff[index][2]->GetKnot(0,xmin,ymin);
528 fSplineEff[index][2]->GetKnot(9,xmax,ymax);
529 if (phi>xmax) phi = xmax;
530 Float_t frac3 = fSplineSigmatheta[index][2]->Eval(phi)/sigmatheta;
531 return sigmatheta * frac1 * frac2 * frac3;
535 Float_t AliMUONFastTracking::MeanPhi(Float_t p, Float_t theta,
536 Float_t phi, Int_t charge) const
539 // gets the mean value of the phirec-phigen distribution
541 Int_t ip=0, itheta=0, iphi=0;
542 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
543 return fCurrentEntry[ip][itheta][iphi]->GetMeanphi();
546 Float_t AliMUONFastTracking::SigmaPhi(Float_t p, Float_t theta,
547 Float_t phi, Int_t charge){
549 // gets the width of the phirec-phigen distribution
551 Int_t ip=0, itheta=0, iphi=0;
553 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
554 // central value and corrections with spline
555 Float_t sigmaphi = fCurrentEntry[ip][itheta][iphi]->GetSigmaphi();
556 if (!fSpline) return sigmaphi;
557 // corrections vs p, theta, phi
558 index = iphi + fNbinphi * itheta;
559 Float_t frac1 = fSplineSigmaphi[index][0]->Eval(p)/sigmaphi;
560 Double_t xmin,ymin,xmax,ymax;
561 if (p>fPmax-fDeltaP/2.) {
562 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->GetSigmaphi();
563 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->GetSigmaphi();
564 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
565 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
566 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
567 frac1 = sigma/sigmaphi;
570 index = iphi + fNbinphi * ip;
571 fSplineEff[index][1]->GetKnot(0,xmin,ymin);
572 fSplineEff[index][1]->GetKnot(9,xmax,ymax);
573 if (theta>xmax) theta = xmax;
574 Float_t frac2 = fSplineSigmaphi[index][1]->Eval(theta)/sigmaphi;
575 index = itheta + fNbintheta * ip;
576 fSplineEff[index][2]->GetKnot(0,xmin,ymin);
577 fSplineEff[index][2]->GetKnot(9,xmax,ymax);
578 if (phi>xmax) phi = xmax;
579 Float_t frac3 = fSplineSigmaphi[index][2]->Eval(phi)/sigmaphi;
580 return sigmaphi * frac1 * frac2 * frac3;
583 void AliMUONFastTracking::SetSpline(){
585 // sets the spline functions for a smooth behaviour of the parameters
586 // when going from one cell to another
588 printf ("Setting spline functions...");
592 Int_t nbins[3] = {fNbinp, fNbintheta, fNbinphi};
593 Double_t xspl[20],yeff[50],ysigmap[20],ysigma1p[20];
594 Double_t yacc[50], ysigmatheta[20],ysigmaphi[20];
596 // let's calculate the x axis for p, theta, phi
598 Int_t i, ispline, ivar;
599 for (i=0; i< fNbinp; i++) x[i][0] = fPmin + fDeltaP * (i + 0.5);
600 for (i=0; i< fNbintheta; i++) x[i][1] = fThetamin + fDeltaTheta * (i + 0.5);
601 for (i=0; i< fNbinphi; i++) x[i][2] = fPhimin + fDeltaPhi * (i + 0.5);
603 for (i=0; i< 5 * fNbinp; i++) x2[i][0] = fPmin + fDeltaP * (i + 0.5)/5.;
604 for (i=0; i< 5 * fNbintheta; i++) x2[i][1] = fThetamin + fDeltaTheta * (i + 0.5)/5.;
605 for (i=0; i< 5 * fNbinphi; i++) x2[i][2] = fPhimin + fDeltaPhi * (i + 0.5)/5.;
609 for (i=0; i<nbins[ivar]; i++) xspl[i] = x[i][ivar];
610 for (i=0; i<5 * nbins[ivar]; i++) xsp2[i] = x2[i][ivar];
612 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
613 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
614 for (Int_t ip=0; ip<fNbinp; ip++) {
615 ysigmap[ip] = fCurrentEntry[ip][itheta][iphi]->GetSigmap();
616 ysigma1p[ip] = fCurrentEntry[ip][itheta][iphi]->GetSigma1p();
617 ysigmatheta[ip] = fCurrentEntry[ip][itheta][iphi]->GetSigmatheta();
618 ysigmaphi[ip] = fCurrentEntry[ip][itheta][iphi]->GetSigmaphi();
620 if (fPrintLevel>3) cout << " creating new spline " << splname << endl;
621 sprintf (splname,"fSplineEff[%d][%d]",ispline,ivar);
622 fSplineEff[ispline][ivar] = new TSpline3(splname,xsp2,yeff,5 * nbins[ivar]);
623 sprintf (splname,"fSplineAcc[%d][%d]",ispline,ivar);
624 fSplineAcc[ispline][ivar] = new TSpline3(splname,xsp2,yacc,5 * nbins[ivar]);
625 sprintf (splname,"fSplineSigmap[%d][%d]",ispline,ivar);
626 fSplineSigmap[ispline][ivar] = new TSpline3(splname,xspl,ysigmap,nbins[ivar]);
627 sprintf (splname,"fSplineSigma1p[%d][%d]",ispline,ivar);
628 fSplineSigma1p[ispline][ivar] = new TSpline3(splname,xspl,ysigma1p,nbins[ivar]);
629 sprintf (splname,"fSplineSigmatheta[%d][%d]",ispline,ivar);
630 fSplineSigmatheta[ispline][ivar] = new TSpline3(splname,xspl,ysigmatheta,nbins[ivar]);
631 sprintf (splname,"fSplineSigmaphi[%d][%d]",ispline,ivar);
632 fSplineSigmaphi[ispline][ivar] = new TSpline3(splname,xspl,ysigmaphi,nbins[ivar]);
638 for (i=0; i<nbins[ivar]; i++) xspl[i] = x[i][ivar];
640 for (Int_t ip=0; ip<fNbinp; ip++) {
641 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
642 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
643 // for efficiency and acceptance let's take the central value
644 ysigmap[itheta] = fCurrentEntry[ip][itheta][iphi]->GetSigmap();
645 ysigma1p[itheta] = fCurrentEntry[ip][itheta][iphi]->GetSigma1p();
646 ysigmatheta[itheta] = fCurrentEntry[ip][itheta][iphi]->GetSigmatheta();
647 ysigmaphi[itheta] = fCurrentEntry[ip][itheta][iphi]->GetSigmaphi();
649 if (fPrintLevel>3) cout << " creating new spline " << splname << endl;
650 sprintf (splname,"fSplineEff[%d][%d]",ispline,ivar);
651 fSplineEff[ispline][ivar] = new TSpline3(splname,xspl,yeff, nbins[ivar]);
652 sprintf (splname,"fSplineAcc[%d][%d]",ispline,ivar);
653 fSplineAcc[ispline][ivar] = new TSpline3(splname,xspl,yacc, nbins[ivar]);
654 sprintf (splname,"fSplineSigmap[%d][%d]",ispline,ivar);
655 fSplineSigmap[ispline][ivar] = new TSpline3(splname,xspl,ysigmap,nbins[ivar]);
656 sprintf (splname,"fSplineSigma1p[%d][%d]",ispline,ivar);
657 fSplineSigma1p[ispline][ivar] = new TSpline3(splname,xspl,ysigma1p,nbins[ivar]);
658 sprintf (splname,"fSplineSigmatheta[%d][%d]",ispline,ivar);
659 fSplineSigmatheta[ispline][ivar] = new TSpline3(splname,xspl,ysigmatheta,nbins[ivar]);
660 sprintf (splname,"fSplineSigmaphi[%d][%d]",ispline,ivar);
661 fSplineSigmaphi[ispline][ivar] = new TSpline3(splname,xspl,ysigmaphi,nbins[ivar]);
667 for (i=0; i<nbins[ivar]; i++) xspl[i] = x[i][ivar];
669 for (Int_t ip=0; ip<fNbinp; ip++) {
670 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
671 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
672 // for efficiency and acceptance let's take the central value
673 ysigmap[iphi] = fCurrentEntry[ip][itheta][iphi]->GetSigmap();
674 ysigma1p[iphi] = fCurrentEntry[ip][itheta][iphi]->GetSigma1p();
675 ysigmatheta[iphi] = fCurrentEntry[ip][itheta][iphi]->GetSigmatheta();
676 ysigmaphi[iphi] = fCurrentEntry[ip][itheta][iphi]->GetSigmaphi();
678 if (fPrintLevel>3) cout << " creating new spline " << splname << endl;
679 sprintf (splname,"fSplineEff[%d][%d]",ispline,ivar);
680 fSplineEff[ispline][ivar] = new TSpline3(splname,xspl,yeff, nbins[ivar]);
681 sprintf (splname,"fSplineAcc[%d][%d]",ispline,ivar);
682 fSplineAcc[ispline][ivar] = new TSpline3(splname,xspl,yacc, nbins[ivar]);
683 sprintf (splname,"fSplineSigmap[%d][%d]",ispline,ivar);
684 fSplineSigmap[ispline][ivar] = new TSpline3(splname,xspl,ysigmap,nbins[ivar]);
685 sprintf (splname,"fSplineSigma1p[%d][%d]",ispline,ivar);
686 fSplineSigma1p[ispline][ivar] = new TSpline3(splname,xspl,ysigma1p,nbins[ivar]);
687 sprintf (splname,"fSplineSigmatheta[%d][%d]",ispline,ivar);
688 fSplineSigmatheta[ispline][ivar] = new TSpline3(splname,xspl,ysigmatheta,nbins[ivar]);
689 sprintf (splname,"fSplineSigmaphi[%d][%d]",ispline,ivar);
690 fSplineSigmaphi[ispline][ivar] = new TSpline3(splname,xspl,ysigmaphi,nbins[ivar]);
694 printf ("...done\n");
697 void AliMUONFastTracking::SetBackground(Float_t bkg){
699 // linear interpolation of the parameters in the LUT between 2 values where
700 // the background has been actually calculated
702 if (bkg>2) printf ("WARNING: unsafe extrapolation!\n");
705 Float_t bkgLevel[4] = {0, 0.5, 1, 2}; // bkg values for which LUT is calculated
707 for (ibkg=0; ibkg<4; ibkg++) if ( bkg < bkgLevel[ibkg]) break;
708 if (ibkg == 4) ibkg--;
709 if (ibkg == 0) ibkg++;
711 Float_t x0 = bkgLevel[ibkg-1];
712 Float_t x1 = bkgLevel[ibkg];
713 Float_t x = (bkg - x0) / (x1 - x0);
717 for (Int_t ip=0; ip< fNbinp; ip++){
718 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
719 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
720 fCurrentEntry[ip][itheta][iphi]->SetP(fEntry[ip][itheta][iphi][ibkg]->GetP());
721 fCurrentEntry[ip][itheta][iphi]->SetTheta(fEntry[ip][itheta][iphi][ibkg]->GetTheta());
722 fCurrentEntry[ip][itheta][iphi]->SetPhi(fEntry[ip][itheta][iphi][ibkg]->GetPhi());
723 fCurrentEntry[ip][itheta][iphi]->SetChi2p(-1);
724 fCurrentEntry[ip][itheta][iphi]->SetChi2theta(-1);
725 fCurrentEntry[ip][itheta][iphi]->SetChi2phi(-1);
727 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetMeanp();
728 y1 = fEntry[ip][itheta][iphi][ibkg]->GetMeanp();
729 fCurrentEntry[ip][itheta][iphi] ->SetMeanp((y1 - y0) * x + y0);
730 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetMeantheta();
731 y1 = fEntry[ip][itheta][iphi][ibkg]->GetMeantheta();
732 fCurrentEntry[ip][itheta][iphi] ->SetMeantheta((y1 - y0) * x +y0);
733 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetMeanphi();
734 y1 = fEntry[ip][itheta][iphi][ibkg]->GetMeanphi();
735 fCurrentEntry[ip][itheta][iphi] ->SetMeanphi((y1 - y0) * x + y0);
736 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetSigmap();
737 y1 = fEntry[ip][itheta][iphi][ibkg]->GetSigmap();
738 fCurrentEntry[ip][itheta][iphi] ->SetSigmap((y1 - y0) * x + y0);
739 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetSigmatheta();
740 y1 = fEntry[ip][itheta][iphi][ibkg]->GetSigmatheta();
741 fCurrentEntry[ip][itheta][iphi] ->SetSigmatheta((y1 - y0) * x+y0);
742 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetSigmaphi();
743 y1 = fEntry[ip][itheta][iphi][ibkg]->GetSigmaphi();
744 fCurrentEntry[ip][itheta][iphi] ->SetSigmaphi((y1 - y0) * x + y0);
745 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetSigma1p();
746 y1 = fEntry[ip][itheta][iphi][ibkg]->GetSigma1p();
747 fCurrentEntry[ip][itheta][iphi] ->SetSigma1p((y1 - y0) * x + y0);
748 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetNormG2();
749 y1 = fEntry[ip][itheta][iphi][ibkg]->GetNormG2();
750 fCurrentEntry[ip][itheta][iphi] ->SetNormG2((y1 - y0) * x + y0);
751 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetMeanG2();
752 y1 = fEntry[ip][itheta][iphi][ibkg]->GetMeanG2();
753 fCurrentEntry[ip][itheta][iphi] ->SetMeanG2((y1 - y0) * x + y0);
755 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetSigmaG2();
756 y1 = fEntry[ip][itheta][iphi][ibkg]->GetSigmaG2();
757 fCurrentEntry[ip][itheta][iphi] ->SetSigmaG2((y1 - y0) * x + y0);
758 for (Int_t i=0; i<kSplitP; i++) {
759 for (Int_t j=0; j<kSplitTheta; j++) {
760 fCurrentEntry[ip][itheta][iphi]->SetAcc(i,j,fEntry[ip][itheta][iphi][ibkg]->GetAcc(i,j));
761 y0 = fEntry[ip][itheta][iphi][ibkg-1]->GetEff(i,j);
762 y1 = fEntry[ip][itheta][iphi][ibkg]->GetEff(i,j);
763 fCurrentEntry[ip][itheta][iphi]->SetEff(i,j, (y1 - y0) * x + y0);
772 TF1* AliMUONFastTracking::GetFitP(Int_t ip,Int_t itheta,Int_t iphi) {
773 // gets the correct prec-pgen distribution for a given LUT cell
774 if (!fFitp[ip][itheta][iphi]) {
776 sprintf(name, "fit_%d_%d_%d", ip, itheta, iphi);
777 fFitp[ip][itheta][iphi] = new TF1(name ,FitP,-20.,20.,6);
778 fFitp[ip][itheta][iphi]->SetNpx(500);
779 fFitp[ip][itheta][iphi]->SetParameters(0.,0.,0.,0.,0.,0.);
781 return fFitp[ip][itheta][iphi];
784 AliMUONFastTracking& AliMUONFastTracking::operator=(const AliMUONFastTracking& rhs)
786 // Assignment operator
791 void AliMUONFastTracking::Copy(TObject&) const
796 Fatal("Copy","Not implemented!\n");