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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 /// \ingroup macros
19 /// \file MUONChamberMaterialBudget.C
20 /// \brief Utility macro to check tracking chamber material properties. 
21 ///
22 /// \author Philippe Pillot, Subatech, Oct. 2009  
23
24 #if !defined(__CINT__) || defined(__MAKECINT__)
25
26 #include <Riostream.h>
27 #include <TH2F.h>
28 #include <TFile.h>
29 #include <TStyle.h>
30 #include <TBox.h>
31 #include <TString.h>
32 #include <TMath.h>
33 #include <TGeoManager.h>
34 #include <TGeoNode.h>
35 #include <TGeoMaterial.h>
36 #include <TGeoShape.h>
37
38 #endif
39
40 void MUONChamberMaterialBudget(const char* geoFilename = "geometry.root", Int_t segmentationLevel = 1)
41 {
42   /// Draw the local chamber thickness over x0 (x/x0) used in the computation of Multiple Coulomb Scattering effets.
43   /// Compute <x> and <x/x0> in a limited area (displayed on the histograms) to avoid edge effets.
44   /// The resolution can be changed by changing the sementation level: resolution = 1 cm / segmentationLevel.
45   
46   const char* chamberName[10] = {"SC01", "SC02", "SC03", "SC04", "SC05", "SC06", "SC07", "SC08", "SC09", "SC10"};
47   Double_t OneOverX0MeanCh[10] = {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
48   Double_t totalLengthCh[10] = {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
49   Double_t OneOverX0Mean = 0.;
50   Double_t totalLength = 0.;
51   
52   // Import TGeo geometry
53   if (!gGeoManager) {
54     TGeoManager::Import(geoFilename);
55     if (!gGeoManager) {
56       cout<<"getting geometry from file geometry.root failed"<<endl;
57       return;
58     }
59   }
60   
61   // z intervals where to find the stations
62   Double_t zIn[5] =  {-510., -600.,  -800., -1150., -1350.};
63   Double_t zOut[5] = {-600., -800., -1150., -1350., -1470.};
64   
65   // transverse area where to compute locally x and x/x0
66   Double_t xIn0[5] = {0., 0., 0., 0., 0.};
67   Double_t yIn0[5] = {0., 0., 0., 0., 0.};
68   Int_t ixMax[5] = {90, 120, 165, 250, 260};
69   Int_t iyMax[5] = {90, 120, 180, 250, 270};
70   
71   // transverse area where to compute <x> and <x/x0> for each chamber
72   Double_t xIn0ForMean[5] = { 5.,  5.,  35.,  40.,  40.};
73   Double_t yIn0ForMean[5] = {20., 25.,   0.,   0.,   0.};
74   Int_t ixMaxForMean[5] = {  50,  65,   85,  120,  160 };
75   Int_t iyMaxForMean[5] = {  60,  70,  110,  150,  150 };
76   
77   // define output histograms
78   gStyle->SetPalette(1);
79   TFile *f = TFile::Open("MaterialBudget.root","RECREATE");
80   TH2F* hXOverX0[10];
81   TBox* bXOverX0[10];
82   for (Int_t i=0; i<10; i++) {
83     Int_t st = i/2;
84     hXOverX0[i] = new TH2F(Form("hXOverX0_%d",i+1), Form("x/x0 on ch %d (%%)",i+1),
85                            segmentationLevel*ixMax[st], xIn0[st], xIn0[st]+ixMax[st],
86                            segmentationLevel*iyMax[st], yIn0[st], yIn0[st]+iyMax[st]);
87     hXOverX0[i]->SetOption("COLZ");
88     hXOverX0[i]->SetStats(kFALSE);
89     bXOverX0[i] = new TBox(xIn0ForMean[st], yIn0ForMean[st],
90                            xIn0ForMean[st]+ixMaxForMean[st], yIn0ForMean[st]+iyMaxForMean[st]);
91     bXOverX0[i]->SetLineStyle(2);
92     bXOverX0[i]->SetLineWidth(2);
93     bXOverX0[i]->SetFillStyle(0);
94     hXOverX0[i]->GetListOfFunctions()->Add(bXOverX0[i]);
95   }
96   
97   // loop over stations
98   for (Int_t ist=0; ist<5; ist++) {
99     
100     Int_t nPoints = 0;
101     
102     // loop over position in non bending direction (by step of 1cm)
103     for (Int_t ix=0; ix<segmentationLevel*ixMax[ist]; ix++) {
104       
105       Double_t xIn = xIn0[ist] + ((Double_t)ix+0.5) / ((Double_t)segmentationLevel);
106       
107       // loop over position in bending direction (by step of 1cm)
108       for (Int_t iy=0; iy<segmentationLevel*iyMax[ist]; iy++) {
109         Int_t permilDone = 1000 * (ix * segmentationLevel*iyMax[ist] + iy + 1) /
110                            (segmentationLevel*segmentationLevel*ixMax[ist]*iyMax[ist]);
111         if (permilDone%10 == 0) cout<<"\rStation "<<ist+1<<": processing... "<<permilDone/10<<"%"<<flush;
112         
113         Double_t yIn = yIn0[ist] + ((Double_t)iy+0.5) / ((Double_t)segmentationLevel);
114         
115         // Initialize starting point and direction
116         Double_t trackXYZIn[3] = {xIn, yIn, zIn[ist]};
117         Double_t trackXYZOut[3] = {1.000001*xIn, 1.000001*yIn, zOut[ist]};
118         Double_t pathLength = TMath::Sqrt((trackXYZOut[0] - trackXYZIn[0])*(trackXYZOut[0] - trackXYZIn[0])+
119                                           (trackXYZOut[1] - trackXYZIn[1])*(trackXYZOut[1] - trackXYZIn[1])+
120                                           (trackXYZOut[2] - trackXYZIn[2])*(trackXYZOut[2] - trackXYZIn[2]));
121         Double_t b[3];
122         b[0] = (trackXYZOut[0] - trackXYZIn[0]) / pathLength;
123         b[1] = (trackXYZOut[1] - trackXYZIn[1]) / pathLength;
124         b[2] = (trackXYZOut[2] - trackXYZIn[2]) / pathLength;
125         TGeoNode *currentnode = gGeoManager->InitTrack(trackXYZIn, b);
126         if (!currentnode) break;
127         
128         Bool_t OK = kTRUE;
129         Double_t x0 = 0.;  // radiation-length (cm-1)
130         Double_t localOneOverX0MeanCh[10] = {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
131         Double_t localTotalLengthCh[10] = {0.,0.,0.,0.,0.,0.,0.,0.,0.,0.};
132         Double_t localPathLength = 0.;
133         Double_t remainingPathLength = pathLength;
134         do {
135           // Get material properties
136           TGeoMaterial *material = currentnode->GetVolume()->GetMedium()->GetMaterial();
137           TString currentNodePath(gGeoManager->GetPath());
138           x0 = material->GetRadLen();
139           
140           // Get path length within this material
141           gGeoManager->FindNextBoundary(remainingPathLength);
142           localPathLength = gGeoManager->GetStep() + 1.e-6;
143           
144           // Check if boundary within remaining path length.
145           // If so, make sure to cross the boundary to prepare the next step
146           if (localPathLength >= remainingPathLength) localPathLength = remainingPathLength;
147           else {
148             currentnode = gGeoManager->Step();
149             if (!currentnode) { OK = kFALSE; break; }
150             if (!gGeoManager->IsEntering()) {
151               // make another small step to try to enter in new slice
152               gGeoManager->SetStep(0.001);
153               currentnode = gGeoManager->Step();
154               if (!gGeoManager->IsEntering() || !currentnode) { OK = kFALSE; break; }
155               localPathLength += 0.001;
156             }
157           }
158           remainingPathLength -= localPathLength;
159
160           // check if entering a chamber of the current station or go to next step
161           Int_t chId;
162           if (currentNodePath.Contains(chamberName[2*ist])) chId = 2*ist;
163           else if (currentNodePath.Contains(chamberName[2*ist+1])) chId = 2*ist+1;
164           else continue;
165           
166           // add current material budget
167           localOneOverX0MeanCh[chId] += localPathLength / x0;
168           localTotalLengthCh[chId] += localPathLength;
169           
170         } while (remainingPathLength > TGeoShape::Tolerance());
171         
172         // account for the local material characteristic if computed successfully
173         if (OK) {
174           
175           // fill histograms in the full space
176           hXOverX0[2*ist]->Fill(xIn,yIn,100.*localOneOverX0MeanCh[2*ist]);
177           hXOverX0[2*ist+1]->Fill(xIn,yIn,100.*localOneOverX0MeanCh[2*ist+1]);
178           
179           // computation of <x> and <x/x0> in a limited chamber region
180           if (xIn > xIn0ForMean[ist] && xIn < xIn0ForMean[ist]+1.*ixMaxForMean[ist] &&
181               yIn > yIn0ForMean[ist] && yIn < yIn0ForMean[ist]+1.*iyMaxForMean[ist]) {
182             nPoints++;
183             OneOverX0MeanCh[2*ist] += localOneOverX0MeanCh[2*ist];
184             OneOverX0MeanCh[2*ist+1] += localOneOverX0MeanCh[2*ist+1];
185             totalLengthCh[2*ist] += localTotalLengthCh[2*ist];
186             totalLengthCh[2*ist+1] += localTotalLengthCh[2*ist+1];
187           }
188           
189         }
190         
191       }
192       
193     }
194     cout<<"\rStation "<<ist+1<<": processing... 100%"<<endl;
195     
196     // normalize <x> and <x/x0> to the number of data points
197     for (Int_t i=2*ist; i<=2*ist+1; i++) {
198       OneOverX0MeanCh[i] /= (Double_t) nPoints;
199       totalLengthCh[i] /= (Double_t) nPoints;
200     }
201     
202   }
203   
204   // print results
205   cout<<endl<<endl;
206   cout<<"chamber   thickness (cm)    x/x0 (%)"<<endl;
207   cout<<"------------------------------------"<<endl;
208   for (Int_t i=0; i<10; i++) {
209     printf("  %2d          %4.2f            %4.2f\n",i+1,totalLengthCh[i],100.*OneOverX0MeanCh[i]);
210     totalLength += totalLengthCh[i];
211     OneOverX0Mean += OneOverX0MeanCh[i];
212   }
213   cout<<"------------------------------------"<<endl;
214   printf("  tot         %4.1f            %4.1f\n",totalLength,100.*OneOverX0Mean);
215   cout<<endl;
216   
217   // save histograms
218   f->Write();
219   f->Close();
220   
221 }
222