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6255180c 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
d53fc881 16/*
17$Log$
041f7f97 18Revision 1.6 2003/08/12 15:16:25 morsch
19Saver initialisation of fFitp array. (Lenaic COUEDEL)
20
1e68a0c5 21Revision 1.5 2003/08/05 16:14:20 morsch
22Some problems with too big fluctuations corrected. (A. de Falco)
23
d53fc881 24Revision 1.2 2003/01/08 10:29:33 morsch
25Path to data file changed.
26
27Revision 1.1 2003/01/06 10:13:33 morsch
28First commit.
29
30*/
6255180c 31
041f7f97 32//-------------------------------------------------------------------------
33// Class AliMUONFastTracking
34//
35// Manager for the fast simulation of tracking in the muon spectrometer
36// This class reads the lookup tables containing the parameterization
37// of the deltap, deltatheta, deltaphi for different background levels
38// and provides the related smeared parameters.
39// Used by AliFastMuonTrackingEff, AliFastMuonTrackingAcc,
40// AliFastMuonTrackingRes.
41//-------------------------------------------------------------------------
42
6255180c 43#include "AliMUONFastTracking.h"
44#include "AliMUONFastTrackingEntry.h"
6255180c 45#include <TSpline.h>
46#include <TFile.h>
6255180c 47#include <TH3.h>
48#include <TF1.h>
49#include <TRandom.h>
50#include <stdlib.h>
51#include <stdio.h>
52#include <string.h>
53#include <Riostream.h>
54
55ClassImp(AliMUONFastTracking)
56
041f7f97 57
6255180c 58AliMUONFastTracking* AliMUONFastTracking::fgMUONFastTracking=NULL;
59
60static Double_t FitP(Double_t *x, Double_t *par){
61 Double_t dx = x[0] - par[0];
62 Double_t dx2 = x[0] - par[4];
63 Double_t sigma = par[1] * ( 1 + par[2] * dx);
64 if (sigma == 0) {
65
66 return 0.;
67 }
68 Double_t fasymm = TMath::Exp(-0.5 * dx * dx / (sigma * sigma));
69 Double_t sigma2 = par[1] * par[5];
70 Double_t fgauss = TMath::Exp(-0.5 * dx2 * dx2 / (sigma2 * sigma2));
d53fc881 71 Double_t value = fasymm + par[3] * fgauss;
72 return value;
6255180c 73}
74
041f7f97 75AliMUONFastTracking::AliMUONFastTracking(const AliMUONFastTracking & ft):TObject()
76{
77// Copy constructor
78 ft.Copy(*this);
79}
80
81
6255180c 82AliMUONFastTracking* AliMUONFastTracking::Instance()
83{
84// Set random number generator
85 if (fgMUONFastTracking) {
86 return fgMUONFastTracking;
87 } else {
88 fgMUONFastTracking = new AliMUONFastTracking();
89 return fgMUONFastTracking;
90 }
91}
92
93AliMUONFastTracking::AliMUONFastTracking()
94{
041f7f97 95//
96// constructor
97//
1e68a0c5 98 for (Int_t i = 0; i<20;i++) {
99 for (Int_t j = 0; j<20; j++) {
100 for (Int_t k = 0; k<20; k++) {
101 fFitp[i][j][k] = 0x0;
102 }
103 }
104 }
105
d53fc881 106 fClusterFinder = kOld;
6255180c 107 fPrintLevel = 1;
108 // read binning; temporarily put by hand
109 Float_t pmin = 0, pmax = 200;
110 Int_t nbinp = 10;
111 Float_t thetamin = 2, thetamax = 9;
112 Int_t nbintheta=10;
113 Float_t phimin = -180, phimax =180;
114 Int_t nbinphi=10;
115 //--------------------------------------
116
117 fNbinp = nbinp;
118 fPmin = pmin;
119 fPmax = pmax;
120
121 fNbintheta = nbintheta;
122 fThetamin = thetamin;
123 fThetamax = thetamax;
124
125 fNbinphi = nbinphi;
126 fPhimin = phimin;
127 fPhimax = phimax;
128
129 fDeltaP = (fPmax-fPmin)/fNbinp;
130 fDeltaTheta = (fThetamax-fThetamin)/fNbintheta;
131 fDeltaPhi = (fPhimax-fPhimin)/fNbinphi;
132}
133
134void AliMUONFastTracking::Init(Float_t bkg)
135{
136 //
137 // Initialization
138 //
139 for (Int_t ip=0; ip< fNbinp; ip++){
140 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
141 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
142 fCurrentEntry[ip][itheta][iphi] = new AliMUONFastTrackingEntry;
143 for (Int_t ibkg=0; ibkg<4; ibkg++){
144 fEntry[ip][itheta][iphi][ibkg] = new AliMUONFastTrackingEntry;
145 }
146 }
147 }
148 }
149
150 char filename [100];
d53fc881 151 if (fClusterFinder==kOld) sprintf (filename,"$(ALICE_ROOT)/FASTSIM/data/MUONtrackLUT.root");
041f7f97 152 else sprintf (filename,"$(ALICE_ROOT)/FASTSIM/data/MUONtrackLUT-AZ.root");
d53fc881 153
6255180c 154 TFile *file = new TFile(filename);
155 ReadLUT(file);
156 SetBackground(bkg);
d53fc881 157 UseSpline(0);
6255180c 158}
159
160
161void AliMUONFastTracking::ReadLUT(TFile* file)
162{
041f7f97 163 //
164 // read the lookup tables from file
165 //
6255180c 166 TH3F *heff[5][3], *hacc[5][3], *hmeanp, *hsigmap, *hsigma1p, *hchi2p;
167 TH3F *hnormg2, *hmeang2, *hsigmag2, *hmeantheta, *hsigmatheta, *hchi2theta;
168 TH3F *hmeanphi, *hsigmaphi, *hchi2phi;
169 char tag[40], tag2[40];
170
d53fc881 171 printf ("Reading parameters from LUT file %s...\n",file->GetName());
172
041f7f97 173 const Float_t kBkg[4] = {0, 0.5, 1, 2};
6255180c 174 for (Int_t ibkg=0; ibkg<4; ibkg++) {
041f7f97 175 sprintf (tag,"BKG%g",kBkg[ibkg]);
6255180c 176 file->cd(tag);
177 for (Int_t isplp = 0; isplp<kSplitP; isplp++) {
178 for (Int_t ispltheta = 0; ispltheta<kSplitTheta; ispltheta++) {
179 sprintf (tag2,"heff[%d][%d]",isplp,ispltheta);
180 heff[isplp][ispltheta] = (TH3F*)gDirectory->Get(tag2);
181 sprintf (tag2,"hacc[%d][%d]",isplp,ispltheta);
182 hacc[isplp][ispltheta] = (TH3F*)gDirectory->Get(tag2);
183 }
184 }
185 hmeanp = (TH3F*)gDirectory->Get("hmeanp");
186 hsigmap = (TH3F*)gDirectory->Get("hsigmap");
187 hsigma1p = (TH3F*)gDirectory->Get("hsigma1p");
188 hchi2p = (TH3F*)gDirectory->Get("hchi2p");
189 hnormg2 = (TH3F*)gDirectory->Get("hnormg2");
190 hmeang2 = (TH3F*)gDirectory->Get("hmeang2");
191 hsigmag2 = (TH3F*)gDirectory->Get("hsigmag2");
192 hmeantheta = (TH3F*)gDirectory->Get("hmeantheta");
193 hsigmatheta = (TH3F*)gDirectory->Get("hsigmatheta");
194 hchi2theta = (TH3F*)gDirectory->Get("hchi2theta");
195 hmeanphi = (TH3F*)gDirectory->Get("hmeanphi");
196 hsigmaphi = (TH3F*)gDirectory->Get("hsigmaphi");
197 hchi2phi = (TH3F*)gDirectory->Get("hchi2phi");
198
6255180c 199 for (Int_t ip=0; ip<fNbinp ;ip++) {
200 for (Int_t itheta=0; itheta<fNbintheta ;itheta++) {
201 for (Int_t iphi=0; iphi<fNbinphi ;iphi++) {
202 Float_t p = fPmin + fDeltaP * (ip + 0.5);
203 Float_t theta = fThetamin + fDeltaTheta * (itheta + 0.5);
204 Float_t phi = fPhimin + fDeltaPhi * (iphi + 0.5);
205
206 fEntry[ip][itheta][iphi][ibkg]->fP = p;
207 fEntry[ip][itheta][iphi][ibkg]->fMeanp =
208 hmeanp->GetBinContent(ip+1,itheta+1,iphi+1);
209 fEntry[ip][itheta][iphi][ibkg]->fSigmap =
210 TMath::Abs(hsigmap->GetBinContent(ip+1,itheta+1,iphi+1));
211 fEntry[ip][itheta][iphi][ibkg]->fSigma1p =
212 hsigma1p->GetBinContent(ip+1,itheta+1,iphi+1);
213 fEntry[ip][itheta][iphi][ibkg]->fChi2p =
214 hchi2p->GetBinContent(ip+1,itheta+1,iphi+1);
215 fEntry[ip][itheta][iphi][ibkg]->fNormG2 =
216 hnormg2->GetBinContent(ip+1,itheta+1,iphi+1);
217 fEntry[ip][itheta][iphi][ibkg]->fMeanG2 =
218 hmeang2->GetBinContent(ip+1,itheta+1,iphi+1);
219 if (ibkg == 0) fEntry[ip][itheta][iphi][ibkg]->fSigmaG2 = 9999;
220 else fEntry[ip][itheta][iphi][ibkg]->fSigmaG2 =
221 hsigmag2->GetBinContent(ip+1,itheta+1,iphi+1);
222 fEntry[ip][itheta][iphi][ibkg]->fTheta = theta;
223 fEntry[ip][itheta][iphi][ibkg]->fMeantheta =
224 hmeantheta->GetBinContent(ip+1,itheta+1,iphi+1);
225 fEntry[ip][itheta][iphi][ibkg]->fSigmatheta =
226 TMath::Abs(hsigmatheta->GetBinContent(ip+1,itheta+1,iphi+1));
227 fEntry[ip][itheta][iphi][ibkg]->fChi2theta =
228 hchi2theta->GetBinContent(ip+1,itheta+1,iphi+1);
229 fEntry[ip][itheta][iphi][ibkg]->fPhi = phi;
230 fEntry[ip][itheta][iphi][ibkg]->fMeanphi =
231 hmeanphi->GetBinContent(ip+1,itheta+1,iphi+1);
232 fEntry[ip][itheta][iphi][ibkg]->fSigmaphi =
233 TMath::Abs(hsigmaphi->GetBinContent(ip+1,itheta+1,iphi+1));
234 fEntry[ip][itheta][iphi][ibkg]->fChi2phi =
235 hchi2phi->GetBinContent(ip+1,itheta+1,iphi+1);
236 for (Int_t i=0; i<kSplitP; i++) {
237 for (Int_t j=0; j<kSplitTheta; j++) {
238 fEntry[ip][itheta][iphi][ibkg]->fAcc[i][j] =
239 hacc[i][j]->GetBinContent(ip+1,itheta+1,iphi+1);
240 fEntry[ip][itheta][iphi][ibkg]->fEff[i][j] =
241 heff[i][j]->GetBinContent(ip+1,itheta+1,iphi+1);
242 }
243 }
244 } // iphi
245 } // itheta
246 } // ip
247 } // ibkg
248
249 TGraph *graph = new TGraph(3);
250 TF1 *f = new TF1("f","[0]+[1]*x");
251
252 for (Int_t ip=0; ip< fNbinp; ip++){
253 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
254 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
255 graph->SetPoint(0,0.5,fEntry[ip][itheta][iphi][1]->fSigmaG2);
256 graph->SetPoint(1,1,fEntry[ip][itheta][iphi][2]->fSigmaG2);
257 graph->SetPoint(2,2,fEntry[ip][itheta][iphi][3]->fSigmaG2);
258 graph->Fit("f","q");
259 fEntry[ip][itheta][iphi][0]->fSigmaG2 = f->Eval(0);
260 }
261 }
262 }
263 f->Delete();
264 graph->Delete();
265 printf ("parameters read. \n");
266}
267
268void AliMUONFastTracking::GetBinning(Int_t &nbinp, Float_t &pmin, Float_t &pmax,
269 Int_t &nbintheta, Float_t &thetamin,
270 Float_t &thetamax,
041f7f97 271 Int_t &nbinphi, Float_t &phimin, Float_t &phimax) const
6255180c 272{
041f7f97 273 //
274 // gets the binning for the discrete parametrizations in the lookup table
275 //
6255180c 276 nbinp = fNbinp;
277 pmin = fPmin;
278 pmax = fPmax;
279 nbintheta = fNbintheta;
280 thetamin = fThetamin;
281 thetamax = fThetamax;
282 nbinphi = fNbinphi;
283 phimin = fPhimin;
284 phimax = fPhimax;
285}
286
287
288void AliMUONFastTracking::GetIpIthetaIphi(Float_t p, Float_t theta, Float_t phi,
289 Int_t charge, Int_t &ip, Int_t &itheta,
041f7f97 290 Int_t &iphi) const
6255180c 291{
041f7f97 292 //
293 // gets the id of the cells in the LUT for a given (p,theta,phi, charge)
294 //
6255180c 295 if (charge < 0) phi = -phi;
296 ip = Int_t (( p - fPmin ) / fDeltaP);
297 itheta = Int_t (( theta - fThetamin ) / fDeltaTheta);
298 iphi = Int_t (( phi - fPhimin ) / fDeltaPhi);
299
1e68a0c5 300
d53fc881 301 if (ip< 0) ip = 0;
302 if (ip>= fNbinp) ip = fNbinp-1;
303 if (itheta< 0) itheta = 0;
304 if (itheta>= fNbintheta) itheta = fNbintheta-1;
6255180c 305
d53fc881 306 if (iphi< 0) iphi = 0;
307 if (iphi>= fNbinphi) iphi = fNbinphi-1;
6255180c 308}
309
310void AliMUONFastTracking::GetSplit(Int_t ip, Int_t itheta,
041f7f97 311 Int_t &nSplitP, Int_t &nSplitTheta) const
312{
313 //
314 // the first cell is splitted in more bins for theta and momentum
315 // parameterizations. Get the number of divisions for the splitted bins
316 //
6255180c 317 if (ip==0) nSplitP = 5;
318 else nSplitP = 2;
319 if (itheta==0) nSplitTheta = 3;
320 else nSplitTheta = 1;
321}
322
323Float_t AliMUONFastTracking::Efficiency(Float_t p, Float_t theta,
324 Float_t phi, Int_t charge){
041f7f97 325 //
326 // gets the tracking efficiency
327 //
6255180c 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
333 Float_t dp = p - fPmin;
334 Int_t ibinp = Int_t(nSplitP*(dp - fDeltaP * Int_t(dp / fDeltaP))/fDeltaP);
335 Float_t dtheta = theta - fThetamin;
336 Int_t ibintheta = Int_t(nSplitTheta*(dtheta - fDeltaTheta * Int_t(dtheta / fDeltaTheta))/fDeltaTheta);
337 Float_t eff = fCurrentEntry[ip][itheta][iphi]->fEff[ibinp][ibintheta];
338 return eff;
339}
340
341Float_t AliMUONFastTracking::Acceptance(Float_t p, Float_t theta,
342 Float_t phi, Int_t charge){
041f7f97 343 //
344 // gets the geometrical acceptance
345 //
6255180c 346 if (theta<fThetamin || theta>fThetamax) return 0;
347
348 Int_t ip=0, itheta=0, iphi=0;
349 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
350 Int_t nSplitP, nSplitTheta;
351 GetSplit(ip,itheta,nSplitP,nSplitTheta);
352 // central value and corrections with spline
353
354 Float_t dp = p - fPmin;
355 Int_t ibinp = Int_t(nSplitP*(dp - fDeltaP * Int_t(dp / fDeltaP))/fDeltaP);
356 Float_t dtheta = theta - fThetamin;
357 Int_t ibintheta = Int_t(nSplitTheta*(dtheta - fDeltaTheta * Int_t(dtheta / fDeltaTheta))/fDeltaTheta);
358 Float_t acc = fCurrentEntry[ip][itheta][iphi]->fAcc[ibinp][ibintheta];
359 return acc;
360}
361
362Float_t AliMUONFastTracking::MeanP(Float_t p, Float_t theta,
041f7f97 363 Float_t phi, Int_t charge) const
6255180c 364{
041f7f97 365 //
366 // gets the mean value of the prec-pgen distribution
367 //
6255180c 368 Int_t ip=0, itheta=0, iphi=0;
369 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
370 return fCurrentEntry[ip][itheta][iphi]->fMeanp;
371}
372
373Float_t AliMUONFastTracking::SigmaP(Float_t p, Float_t theta,
041f7f97 374 Float_t phi, Int_t charge) const
6255180c 375{
041f7f97 376 //
377 // gets the width of the prec-pgen distribution
378 //
6255180c 379 Int_t ip=0, itheta=0, iphi=0;
380 Int_t index;
381 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
382 // central value and corrections with spline
383 Float_t sigmap = fCurrentEntry[ip][itheta][iphi]->fSigmap;
384 if (!fSpline) return sigmap;
385 // corrections vs p, theta, phi
386 index = iphi + fNbinphi * itheta;
387 Double_t xmin,ymin,xmax,ymax;
388 Float_t frac1 = fSplineSigmap[index][0]->Eval(p)/sigmap;
389
390 if (p>fPmax-fDeltaP/2.) {
391 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->fSigmap;
392 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->fSigmap;
393 Float_t s3 = fCurrentEntry[fNbinp-3][itheta][iphi]->fSigmap;
394 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
395 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
396 Float_t p3 = fDeltaP * (fNbinp - 3 + 0.5) + fPmin;
397 Float_t p12 = p1 * p1, p22 = p2 * p2, p32 = p3 * p3;
398 Float_t d = p12*p2 + p1*p32 + p22*p3 - p32*p2 - p3*p12 - p22*p1;
399 Float_t a = (s1*p2 + p1*s3 + s2*p3 - s3*p2 - p3*s1 - s2*p1) / d;
400 Float_t b = (p12*s2 + s1*p32 + p22*s3 - p32*s2 - s3*p12 - p22*s1)/d;
401 Float_t c = (p12*p2*s3 + p1*p32*s2 + p22*p3*s1
402 - p32*p2*s1 - p3*p12*s2 - p22*p1*s3) / d;
403 Float_t sigma = a * p * p + b * p + c;
404 frac1 = sigma/sigmap;
405 }
406 index = iphi + fNbinphi * ip;
407 fSplineEff[index][1]->GetKnot(0,xmin,ymin);
408 fSplineEff[index][1]->GetKnot(9,xmax,ymax);
409 if (theta>xmax) theta = xmax;
410 Float_t frac2 = fSplineSigmap[index][1]->Eval(theta)/sigmap;
411 index = itheta + fNbintheta * ip;
412 fSplineEff[index][2]->GetKnot(0,xmin,ymin);
413 fSplineEff[index][2]->GetKnot(9,xmax,ymax);
414 if (phi>xmax) phi = xmax;
415 Float_t frac3 = fSplineSigmap[index][2]->Eval(phi)/sigmap;
416 Float_t sigmatot = sigmap * frac1 * frac2 * frac3;
417 if (sigmatot<0) sigmatot = sigmap;
418 return sigmatot;
419}
420
421Float_t AliMUONFastTracking::Sigma1P(Float_t p, Float_t theta,
041f7f97 422 Float_t phi, Int_t charge) const
6255180c 423{
041f7f97 424 //
425 // gets the width correction of the prec-pgen distribution (see FitP)
426 //
6255180c 427 Int_t ip=0, itheta=0, iphi=0;
428 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
429 if (p>fPmax) {
430 // linear extrapolation of sigmap for p out of range
431 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->fSigma1p;
432 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->fSigma1p;
433 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
434 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
435 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
436 return sigma;
437 }
438 else return fCurrentEntry[ip][itheta][iphi]->fSigma1p;
439}
440
441Float_t AliMUONFastTracking::NormG2(Float_t p, Float_t theta,
041f7f97 442 Float_t phi, Int_t charge) const
6255180c 443{
041f7f97 444 //
445 // gets the relative normalization of the background
446 // (gaussian) component in the prec-pgen distribution
447 //
6255180c 448 Int_t ip=0, itheta=0, iphi=0;
449 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
450 if (p>fPmax) {
451 // linear extrapolation of sigmap for p out of range
452 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->fNormG2;
453 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->fNormG2;
454 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
455 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
456 Float_t norm = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
457 return norm;
458 }
459 else return fCurrentEntry[ip][itheta][iphi]->fNormG2;
460}
461
462Float_t AliMUONFastTracking::MeanG2(Float_t p, Float_t theta,
041f7f97 463 Float_t phi, Int_t charge) const
6255180c 464{
041f7f97 465 //
466 // gets the mean value of the background
467 // (gaussian) component in the prec-pgen distribution
468 //
6255180c 469 Int_t ip=0, itheta=0, iphi=0;
470 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
471 if (p>fPmax) {
472 // linear extrapolation of sigmap for p out of range
473 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->fMeanG2;
474 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->fMeanG2;
475 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
476 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
477 Float_t norm = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
478 return norm;
479 }
480 else return fCurrentEntry[ip][itheta][iphi]->fMeanG2;
481}
482
483Float_t AliMUONFastTracking::SigmaG2(Float_t p, Float_t theta,
041f7f97 484 Float_t phi, Int_t charge) const
6255180c 485{
041f7f97 486 //
487 // gets the width of the background
488 // (gaussian) component in the prec-pgen distribution
489 //
6255180c 490 Int_t ip=0, itheta=0, iphi=0;
491 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
492 if (p>fPmax) {
493 // linear extrapolation of sigmap for p out of range
494 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->fSigmaG2;
495 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->fSigmaG2;
496 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
497 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
498 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
499 return sigma;
500 }
501 else return fCurrentEntry[ip][itheta][iphi]->fSigmaG2;
502}
503
504
505Float_t AliMUONFastTracking::MeanTheta(Float_t p, Float_t theta,
041f7f97 506 Float_t phi, Int_t charge) const
6255180c 507{
041f7f97 508 //
509 // gets the mean value of the thetarec-thetagen distribution
510 //
6255180c 511 Int_t ip=0, itheta=0, iphi=0;
512 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
513 return fCurrentEntry[ip][itheta][iphi]->fMeantheta;
514}
515
041f7f97 516Float_t AliMUONFastTracking::SigmaTheta(Float_t p, Float_t theta,
517 Float_t phi, Int_t charge) const
518{
519 //
520 // gets the width of the thetarec-thetagen distribution
521 //
6255180c 522 Int_t ip=0, itheta=0, iphi=0;
523 Int_t index;
524 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
525 // central value and corrections with spline
526 Float_t sigmatheta = fCurrentEntry[ip][itheta][iphi]->fSigmatheta;
527 if (!fSpline) return sigmatheta;
528 // corrections vs p, theta, phi
529 index = iphi + fNbinphi * itheta;
530 Double_t xmin,ymin,xmax,ymax;
531 Float_t frac1 = fSplineSigmatheta[index][0]->Eval(p)/sigmatheta;
532 if (p>fPmax-fDeltaP/2.) {
533 // linear extrapolation of sigmap for p out of range
534 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->fSigmatheta;
535 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->fSigmatheta;
536 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
537 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
538 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
539 frac1=sigma/sigmatheta;
540 }
541 index = iphi + fNbinphi * ip;
542 fSplineEff[index][1]->GetKnot(0,xmin,ymin);
543 fSplineEff[index][1]->GetKnot(9,xmax,ymax);
544 if (theta>xmax) theta = xmax;
545 Float_t frac2 = fSplineSigmatheta[index][1]->Eval(theta)/sigmatheta;
546 index = itheta + fNbintheta * ip;
547 fSplineEff[index][2]->GetKnot(0,xmin,ymin);
548 fSplineEff[index][2]->GetKnot(9,xmax,ymax);
549 if (phi>xmax) phi = xmax;
550 Float_t frac3 = fSplineSigmatheta[index][2]->Eval(phi)/sigmatheta;
551 return sigmatheta * frac1 * frac2 * frac3;
552}
553
554
555Float_t AliMUONFastTracking::MeanPhi(Float_t p, Float_t theta,
041f7f97 556 Float_t phi, Int_t charge) const
557{
558 //
559 // gets the mean value of the phirec-phigen distribution
560 //
6255180c 561 Int_t ip=0, itheta=0, iphi=0;
562 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
563 return fCurrentEntry[ip][itheta][iphi]->fMeanphi;
564}
565
566Float_t AliMUONFastTracking::SigmaPhi(Float_t p, Float_t theta,
567 Float_t phi, Int_t charge){
041f7f97 568 //
569 // gets the width of the phirec-phigen distribution
570 //
6255180c 571 Int_t ip=0, itheta=0, iphi=0;
572 Int_t index;
573 GetIpIthetaIphi(p,theta,phi,charge,ip,itheta,iphi);
574 // central value and corrections with spline
575 Float_t sigmaphi = fCurrentEntry[ip][itheta][iphi]->fSigmaphi;
576 if (!fSpline) return sigmaphi;
577 // corrections vs p, theta, phi
578 index = iphi + fNbinphi * itheta;
579 Float_t frac1 = fSplineSigmaphi[index][0]->Eval(p)/sigmaphi;
580 Double_t xmin,ymin,xmax,ymax;
581 if (p>fPmax-fDeltaP/2.) {
582 Float_t s1 = fCurrentEntry[fNbinp-1][itheta][iphi]->fSigmaphi;
583 Float_t s2 = fCurrentEntry[fNbinp-2][itheta][iphi]->fSigmaphi;
584 Float_t p1 = fDeltaP * (fNbinp - 1 + 0.5) + fPmin;
585 Float_t p2 = fDeltaP * (fNbinp - 2 + 0.5) + fPmin;
586 Float_t sigma = 1./(p1-p2) * ( (s1-s2)*p + (s2-s1)*p1 + s1*(p1-p2) );
587 frac1 = sigma/sigmaphi;
588 }
589
590 index = iphi + fNbinphi * ip;
591 fSplineEff[index][1]->GetKnot(0,xmin,ymin);
592 fSplineEff[index][1]->GetKnot(9,xmax,ymax);
593 if (theta>xmax) theta = xmax;
594 Float_t frac2 = fSplineSigmaphi[index][1]->Eval(theta)/sigmaphi;
595 index = itheta + fNbintheta * ip;
596 fSplineEff[index][2]->GetKnot(0,xmin,ymin);
597 fSplineEff[index][2]->GetKnot(9,xmax,ymax);
598 if (phi>xmax) phi = xmax;
599 Float_t frac3 = fSplineSigmaphi[index][2]->Eval(phi)/sigmaphi;
600 return sigmaphi * frac1 * frac2 * frac3;
601}
602
603void AliMUONFastTracking::SetSpline(){
041f7f97 604 //
605 // sets the spline functions for a smooth behaviour of the parameters
606 // when going from one cell to another
607 //
6255180c 608 printf ("Setting spline functions...");
609 char splname[40];
610 Double_t x[20][3];
611 Double_t x2[50][3];
612 Int_t nbins[3] = {fNbinp, fNbintheta, fNbinphi};
613 Double_t xspl[20],yeff[50],ysigmap[20],ysigma1p[20];
614 Double_t yacc[50], ysigmatheta[20],ysigmaphi[20];
615 Double_t xsp2[50];
616 // let's calculate the x axis for p, theta, phi
617
618 Int_t i, ispline, ivar;
619 for (i=0; i< fNbinp; i++) x[i][0] = fPmin + fDeltaP * (i + 0.5);
620 for (i=0; i< fNbintheta; i++) x[i][1] = fThetamin + fDeltaTheta * (i + 0.5);
621 for (i=0; i< fNbinphi; i++) x[i][2] = fPhimin + fDeltaPhi * (i + 0.5);
622
623 for (i=0; i< 5 * fNbinp; i++) x2[i][0] = fPmin + fDeltaP * (i + 0.5)/5.;
624 for (i=0; i< 5 * fNbintheta; i++) x2[i][1] = fThetamin + fDeltaTheta * (i + 0.5)/5.;
625 for (i=0; i< 5 * fNbinphi; i++) x2[i][2] = fPhimin + fDeltaPhi * (i + 0.5)/5.;
626
627 // splines in p
628 ivar = 0;
629 for (i=0; i<nbins[ivar]; i++) xspl[i] = x[i][ivar];
630 for (i=0; i<5 * nbins[ivar]; i++) xsp2[i] = x2[i][ivar];
631 ispline=0;
632 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
633 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
634 for (Int_t ip=0; ip<fNbinp; ip++) {
635 // for (Int_t i=0; i<5; i++) {
636 // yeff[5 * ip + i] = fCurrentEntry[ip][itheta][iphi]->fEff[i];
637 // yacc[5 * ip + i] = fCurrentEntry[ip][itheta][iphi]->fAcc[i];
638 // }
639 ysigmap[ip] = fCurrentEntry[ip][itheta][iphi]->fSigmap;
640 ysigma1p[ip] = fCurrentEntry[ip][itheta][iphi]->fSigma1p;
641 ysigmatheta[ip] = fCurrentEntry[ip][itheta][iphi]->fSigmatheta;
642 ysigmaphi[ip] = fCurrentEntry[ip][itheta][iphi]->fSigmaphi;
643 }
644 if (fPrintLevel>3) cout << " creating new spline " << splname << endl;
645 sprintf (splname,"fSplineEff[%d][%d]",ispline,ivar);
646 fSplineEff[ispline][ivar] = new TSpline3(splname,xsp2,yeff,5 * nbins[ivar]);
647 sprintf (splname,"fSplineAcc[%d][%d]",ispline,ivar);
648 fSplineAcc[ispline][ivar] = new TSpline3(splname,xsp2,yacc,5 * nbins[ivar]);
649 sprintf (splname,"fSplineSigmap[%d][%d]",ispline,ivar);
650 fSplineSigmap[ispline][ivar] = new TSpline3(splname,xspl,ysigmap,nbins[ivar]);
651 sprintf (splname,"fSplineSigma1p[%d][%d]",ispline,ivar);
652 fSplineSigma1p[ispline][ivar] = new TSpline3(splname,xspl,ysigma1p,nbins[ivar]);
653 sprintf (splname,"fSplineSigmatheta[%d][%d]",ispline,ivar);
654 fSplineSigmatheta[ispline][ivar] = new TSpline3(splname,xspl,ysigmatheta,nbins[ivar]);
655 sprintf (splname,"fSplineSigmaphi[%d][%d]",ispline,ivar);
656 fSplineSigmaphi[ispline][ivar] = new TSpline3(splname,xspl,ysigmaphi,nbins[ivar]);
657 ispline++;
658 }
659 }
660
661 ivar = 1;
662 for (i=0; i<nbins[ivar]; i++) xspl[i] = x[i][ivar];
663 ispline=0;
664 for (Int_t ip=0; ip<fNbinp; ip++) {
665 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
666 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
667 // for efficiency and acceptance let's take the central value
668 // yeff[itheta] = fCurrentEntry[ip][itheta][iphi]->fEff[2];
669 // yacc[itheta] = fCurrentEntry[ip][itheta][iphi]->fAcc[2];
670 ysigmap[itheta] = fCurrentEntry[ip][itheta][iphi]->fSigmap;
671 ysigma1p[itheta] = fCurrentEntry[ip][itheta][iphi]->fSigma1p;
672 ysigmatheta[itheta] = fCurrentEntry[ip][itheta][iphi]->fSigmatheta;
673 ysigmaphi[itheta] = fCurrentEntry[ip][itheta][iphi]->fSigmaphi;
674 }
675 if (fPrintLevel>3) cout << " creating new spline " << splname << endl;
676 sprintf (splname,"fSplineEff[%d][%d]",ispline,ivar);
677 fSplineEff[ispline][ivar] = new TSpline3(splname,xspl,yeff, nbins[ivar]);
678 sprintf (splname,"fSplineAcc[%d][%d]",ispline,ivar);
679 fSplineAcc[ispline][ivar] = new TSpline3(splname,xspl,yacc, nbins[ivar]);
680 sprintf (splname,"fSplineSigmap[%d][%d]",ispline,ivar);
681 fSplineSigmap[ispline][ivar] = new TSpline3(splname,xspl,ysigmap,nbins[ivar]);
682 sprintf (splname,"fSplineSigma1p[%d][%d]",ispline,ivar);
683 fSplineSigma1p[ispline][ivar] = new TSpline3(splname,xspl,ysigma1p,nbins[ivar]);
684 sprintf (splname,"fSplineSigmatheta[%d][%d]",ispline,ivar);
685 fSplineSigmatheta[ispline][ivar] = new TSpline3(splname,xspl,ysigmatheta,nbins[ivar]);
686 sprintf (splname,"fSplineSigmaphi[%d][%d]",ispline,ivar);
687 fSplineSigmaphi[ispline][ivar] = new TSpline3(splname,xspl,ysigmaphi,nbins[ivar]);
688 ispline++;
689 }
690 }
691
692 ivar = 2;
693 for (i=0; i<nbins[ivar]; i++) xspl[i] = x[i][ivar];
694 ispline=0;
695 for (Int_t ip=0; ip<fNbinp; ip++) {
696 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
697 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
698 // for efficiency and acceptance let's take the central value
699 // yeff[iphi] = fCurrentEntry[ip][itheta][iphi]->fEff[2];
700 // yacc[iphi] = fCurrentEntry[ip][itheta][iphi]->fAcc[2];
701 ysigmap[iphi] = fCurrentEntry[ip][itheta][iphi]->fSigmap;
702 ysigma1p[iphi] = fCurrentEntry[ip][itheta][iphi]->fSigma1p;
703 ysigmatheta[iphi] = fCurrentEntry[ip][itheta][iphi]->fSigmatheta;
704 ysigmaphi[iphi] = fCurrentEntry[ip][itheta][iphi]->fSigmaphi;
705 }
706 if (fPrintLevel>3) cout << " creating new spline " << splname << endl;
707 sprintf (splname,"fSplineEff[%d][%d]",ispline,ivar);
708 fSplineEff[ispline][ivar] = new TSpline3(splname,xspl,yeff, nbins[ivar]);
709 sprintf (splname,"fSplineAcc[%d][%d]",ispline,ivar);
710 fSplineAcc[ispline][ivar] = new TSpline3(splname,xspl,yacc, nbins[ivar]);
711 sprintf (splname,"fSplineSigmap[%d][%d]",ispline,ivar);
712 fSplineSigmap[ispline][ivar] = new TSpline3(splname,xspl,ysigmap,nbins[ivar]);
713 sprintf (splname,"fSplineSigma1p[%d][%d]",ispline,ivar);
714 fSplineSigma1p[ispline][ivar] = new TSpline3(splname,xspl,ysigma1p,nbins[ivar]);
715 sprintf (splname,"fSplineSigmatheta[%d][%d]",ispline,ivar);
716 fSplineSigmatheta[ispline][ivar] = new TSpline3(splname,xspl,ysigmatheta,nbins[ivar]);
717 sprintf (splname,"fSplineSigmaphi[%d][%d]",ispline,ivar);
718 fSplineSigmaphi[ispline][ivar] = new TSpline3(splname,xspl,ysigmaphi,nbins[ivar]);
719 ispline++;
720 }
721 }
722 printf ("...done\n");
723}
724
6255180c 725void AliMUONFastTracking::SetBackground(Float_t bkg){
041f7f97 726 //
6255180c 727 // linear interpolation of the parameters in the LUT between 2 values where
728 // the background has been actually calculated
041f7f97 729 //
6255180c 730 if (bkg>2) printf ("WARNING: unsafe extrapolation!\n");
731 fBkg = bkg;
732
041f7f97 733 Float_t bkgLevel[4] = {0, 0.5, 1, 2}; // bkg values for which LUT is calculated
6255180c 734 Int_t ibkg;
041f7f97 735 for (ibkg=0; ibkg<4; ibkg++) if ( bkg < bkgLevel[ibkg]) break;
6255180c 736 if (ibkg == 4) ibkg--;
737 if (ibkg == 0) ibkg++;
738
041f7f97 739 Float_t x0 = bkgLevel[ibkg-1];
740 Float_t x1 = bkgLevel[ibkg];
6255180c 741 Float_t x = (bkg - x0) / (x1 - x0);
742
743 Float_t y0, y1;
744
745 for (Int_t ip=0; ip< fNbinp; ip++){
746 for (Int_t itheta=0; itheta< fNbintheta; itheta++){
747 for (Int_t iphi=0; iphi< fNbinphi; iphi++){
748 fCurrentEntry[ip][itheta][iphi]->fP = fEntry[ip][itheta][iphi][ibkg]->fP;
749 fCurrentEntry[ip][itheta][iphi]->fTheta = fEntry[ip][itheta][iphi][ibkg]->fTheta;
750 fCurrentEntry[ip][itheta][iphi]->fPhi = fEntry[ip][itheta][iphi][ibkg]->fPhi;
751 fCurrentEntry[ip][itheta][iphi]->fChi2p = -1;
752 fCurrentEntry[ip][itheta][iphi]->fChi2theta = -1;
753 fCurrentEntry[ip][itheta][iphi]->fChi2phi = -1;
754
755 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fMeanp;
756 y1 = fEntry[ip][itheta][iphi][ibkg]->fMeanp;
757 fCurrentEntry[ip][itheta][iphi] ->fMeanp = (y1 - y0) * x + y0;
758 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fMeantheta;
759 y1 = fEntry[ip][itheta][iphi][ibkg]->fMeantheta;
760 fCurrentEntry[ip][itheta][iphi] ->fMeantheta = (y1 - y0) * x + y0;
761 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fMeanphi;
762 y1 = fEntry[ip][itheta][iphi][ibkg]->fMeanphi;
763 fCurrentEntry[ip][itheta][iphi] ->fMeanphi = (y1 - y0) * x + y0;
764 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fSigmap;
765 y1 = fEntry[ip][itheta][iphi][ibkg]->fSigmap;
766 fCurrentEntry[ip][itheta][iphi] ->fSigmap = (y1 - y0) * x + y0;
767 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fSigmatheta;
768 y1 = fEntry[ip][itheta][iphi][ibkg]->fSigmatheta;
769 fCurrentEntry[ip][itheta][iphi] ->fSigmatheta = (y1 - y0) * x + y0;
770 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fSigmaphi;
771 y1 = fEntry[ip][itheta][iphi][ibkg]->fSigmaphi;
772 fCurrentEntry[ip][itheta][iphi] ->fSigmaphi = (y1 - y0) * x + y0;
773 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fSigma1p;
774 y1 = fEntry[ip][itheta][iphi][ibkg]->fSigma1p;
775 fCurrentEntry[ip][itheta][iphi] ->fSigma1p = (y1 - y0) * x + y0;
776 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fNormG2;
777 y1 = fEntry[ip][itheta][iphi][ibkg]->fNormG2;
778 fCurrentEntry[ip][itheta][iphi] ->fNormG2 = (y1 - y0) * x + y0;
779 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fMeanG2;
780 y1 = fEntry[ip][itheta][iphi][ibkg]->fMeanG2;
781 fCurrentEntry[ip][itheta][iphi] ->fMeanG2 = (y1 - y0) * x + y0;
782
783 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fSigmaG2;
784 y1 = fEntry[ip][itheta][iphi][ibkg]->fSigmaG2;
785 fCurrentEntry[ip][itheta][iphi] ->fSigmaG2 = (y1 - y0) * x + y0;
786 for (Int_t i=0; i<kSplitP; i++) {
787 for (Int_t j=0; j<kSplitTheta; j++) {
788 fCurrentEntry[ip][itheta][iphi]->fAcc[i][j] = fEntry[ip][itheta][iphi][ibkg]->fAcc[i][j];
789 y0 = fEntry[ip][itheta][iphi][ibkg-1]->fEff[i][j];
790 y1 = fEntry[ip][itheta][iphi][ibkg]->fEff[i][j];
791 fCurrentEntry[ip][itheta][iphi]->fEff[i][j] = (y1 - y0) * x + y0;
792 }
793 }
794 }
795 }
796 }
797 SetSpline();
798}
799
d53fc881 800TF1* AliMUONFastTracking::GetFitP(Int_t ip,Int_t itheta,Int_t iphi) {
041f7f97 801 // gets the correct prec-pgen distribution for a given LUT cell
d53fc881 802 if (!fFitp[ip][itheta][iphi]) {
803 fFitp[ip][itheta][iphi] = new TF1("fit1",FitP,-20.,20.,6);
804 fFitp[ip][itheta][iphi]->SetNpx(500);
1e68a0c5 805 fFitp[ip][itheta][iphi]->SetParameters(0.,0.,0.,0.,0.,0.);
d53fc881 806 }
807 return fFitp[ip][itheta][iphi];
808}
6255180c 809
041f7f97 810AliMUONFastTracking& AliMUONFastTracking::operator=(const AliMUONFastTracking& rhs)
811{
812// Assignment operator
813 rhs.Copy(*this);
814 return *this;
815}
816
817void AliMUONFastTracking::Copy(AliMUONFastTracking&) const
818{
819 //
820 // Copy
821 //
822 Fatal("Copy","Not implemented!\n");
823}
6255180c 824
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