TPC/CalibMacros/DriftKalman.C

   1
   2 // See http://en.wikipedia.org/wiki/Kalman_filter
   3 //
   4 /*
   5 .x ~/UliStyle.C
   6 gSystem->AddIncludePath("-I$ALICE_ROOT/STAT");
   7 gSystem->AddIncludePath("-I$ALICE_ROOT/TPC/macros");
   8 gSystem->AddIncludePath("-I$ALICE_ROOT/TPC");
   9 gROOT->LoadMacro("$ALICE_ROOT/TPC/macros/AliXRDPROOFtoolkit.cxx+")
  10 gSystem->Load("libSTAT.so");
  11
  12 .L $ALICE_ROOT/TPC/CalibMacros/DriftKalman.C++
  13   //
  14   //
  15   //
  16   TFile fgoofie("goofieTree.root");
  17   TTree *chainTime = (TTree*)fgoofie.Get("drift");
  18   chainTime->SetAlias("mcut","abs(areaF/areaN-1.117)<0.1");
  19   chainTime->SetAlias("atpcor","(1000*press/(3.329*(tempF)))-1");
  20   chainTime->SetAlias("dvdrift","(((vdrift/2.636)-1))");
  21   chainTime->SetAlias("trCorr","0");
  22
  23   Int_t npoints= chainTime->Draw("time:(dvdrift)-trCorr:(atpcor)","mcut");
  24   Double_t *timeV = new Double_t[npoints];
  25   Double_t *vdriftV = new Double_t[npoints];
  26   Double_t *cPTV = new Double_t[npoints];
  27   memcpy(timeV,chainTime->GetV1(),npoints*sizeof(Double_t));
  28   memcpy(vdriftV,chainTime->GetV2(),npoints*sizeof(Double_t));
  29   memcpy(cPTV,chainTime->GetV3(),npoints*sizeof(Double_t));
  30
  31   Double_t rms=0.006, corr;
  32   covXk(0,0)=0.01; covXk(1,1)=0.1; covXk(2,2)=0.1; covXk(1,0)=0; covXk(0,1)=0;
  33   vecXk(0,0)=0; vecXk(1,0)=1; vecXk(2,0)=0;          //initial stat
  34
  35   recVDriftSort(npoints,timeV,vdriftV,cPTV,rms,10/(250*24*60*60.),kFALSE);
  36   recVDriftSort(npoints,timeV,vdriftV,cPTV,rms,10/(250*24*60*60.),kTRUE);
  37   TFile f("realvdrift.root");
  38   drift->Draw("vecXk.fElements[1]:time","isOK","")
  39
  40
  41   //
  42   // Real data test usage
  43   //
  44
  45   AliXRDPROOFtoolkit tool;
  46   TChain * chainTime = tool.MakeChain("time.txt","timeInfo",0,10200);
  47   chainTime->Lookup();
  48   //
  49
  50   Double_t rms, corr;
  51   chainTime->SetAlias("atpcorP","press0/(3.329*(temp0+273.15))-1");
  52   chainTime->SetAlias("mcutP","press0>0");
  53   chainTime->SetAlias("ncutP","press0<1");
  54   chainTime->SetAlias("atpcorG","temp1.fElements[14]/(0.003378*(temp0+273.15))-1");
  55   chainTime->SetAlias("mcutG","temp1.fElements[14]>0");
  56
  57   chainTime->SetAlias("atpcor","(mcutP*atpcorP+(ncutP)*atpcorG)");
  58   chainTime->SetAlias("mcut","temp1.fElements[14]>0");
  59   chainTime->SetAlias("dvdrift","(fDz/500)");
  60
  61   fitLinear(chainTime, rms,corr);
  62
  63
  64   Int_t npoints= chainTime->Draw("time:(dvdrift)-trCorr:(atpcor)","mcut&&abs(fDz-500*driftG)<1");
  65   Double_t *timeV = new Double_t[npoints];
  66   Double_t *vdriftV = new Double_t[npoints];
  67   Double_t *cPTV = new Double_t[npoints];
  68   memcpy(timeV,chainTime->GetV1(),npoints*sizeof(Double_t));
  69   memcpy(vdriftV,chainTime->GetV2(),npoints*sizeof(Double_t));
  70   memcpy(cPTV,chainTime->GetV3(),npoints*sizeof(Double_t));
  71
  72
  73   kalmanTime.Init(0,0,-1,0.01,0.01);
  74
  75   recVDriftSort(npoints,timeV,vdriftV,cPTV,rms,1/(250*24*60*60.),kFALSE);
  76   recVDriftSort(npoints,timeV,vdriftV,cPTV,rms,1/(250*24*60*60.),kTRUE);
  77
  78   TFile f("realvdrift.root");
  79   drift->Draw("k.fState.fElements[0]:time","isOK","");
  80 */
  81
  82 #include "TMatrixD.h"
  83 #include "TRandom.h"
  84 #include "TTreeStream.h"
  85 #include "TMath.h"
  86 #include "TString.h"
  87 #include "TChain.h"
  88 #include "TStatToolkit.h"
  89 #include "AliTPCkalmanTime.h"
  90
  91
  92 Double_t cshift  = 0;
  93 Double_t cPT     = 0;
  94 Double_t floatS  = 0.00005;   //
  95 Double_t floatTP = 0.0005;    //
  96 Double_t noiseV  = 0.3/250.;  // cosmic drift precission
  97 Double_t vdrift    = 0;
  98
  99 AliTPCkalmanTime kalmanTime;
 100
 101
 102 void recVDrift(Int_t npoints, Double_t *timeV, Double_t *vdriftV, Double_t * cPTV, Double_t noise, Double_t sshift){
 103   //
 104   // chainTime->Draw("time:(dvdrift):(atpcor)","mcut&&abs(((dvdrift))-(atpcor))<0.004");
 105   //
 106   TTreeSRedirector *pcstream = new TTreeSRedirector("realvdrift.root");
 107   //
 108   Int_t nused=0;
 109   for (Int_t ipoint=0; ipoint<npoints;ipoint++){
 110     //
 111     if (ipoint==0) kalmanTime.fTime=timeV[ipoint];
 112     TMatrixD &vecXk = *(kalmanTime.fState);
 113     TMatrixD &covXk = *(kalmanTime.fCovariance);
 114     Double_t fdrift = vecXk(0,0)+ cPTV[ipoint]*vecXk(1,0);
 115     Double_t ddrift = fdrift-vdriftV[ipoint];
 116     Double_t sdrift = TMath::Sqrt(covXk(0,0)+noise*noise);
 117     Bool_t isOK = nused<10||TMath::Abs(ddrift)<5*sdrift;
 118     kalmanTime.Propagate(timeV[ipoint],sshift);
 119     kalmanTime.Update(vdriftV[ipoint],noise,cPTV[ipoint],pcstream);
 120     nused++;
 121     (*pcstream)<<"drift"<<
 122       "ipoint="<<ipoint<<
 123       "time="<<timeV[ipoint]<<
 124       "isOK="<<isOK<<
 125       "noise="<<noise<<
 126       "cPT="<<cPTV[ipoint]<<
 127       "vdrift="<<vdriftV[ipoint]<<
 128       "fdrift="<<fdrift<<
 129       "k.="<<&kalmanTime<<
 130       "\n";
 131   }
 132   delete pcstream;
 133 }
 134
 135
 136 void recVDriftSort(Int_t npoints, Double_t *timeV, Double_t *vdriftV, Double_t * cPTV, Double_t noise, Double_t sshift, Bool_t sort){
 137   //
 138   // sort entries before fit
 139   //
 140   Int_t *index = new Int_t[npoints];
 141   Double_t *tmpsort = new Double_t[npoints];
 142   TMath::Sort(npoints, timeV, index,sort);
 143   //
 144   for (Int_t i=0; i<npoints;i++){
 145     tmpsort[i]= timeV[index[i]];
 146   }
 147   for (Int_t i=0; i<npoints;i++){
 148     timeV[i] =tmpsort[i];
 149   }
 150   //
 151   for (Int_t i=0; i<npoints;i++){
 152     tmpsort[i]= vdriftV[index[i]];
 153   }
 154   for (Int_t i=0; i<npoints;i++){
 155     vdriftV[i] =tmpsort[i];
 156   }
 157   //
 158   for (Int_t i=0; i<npoints;i++){
 159     tmpsort[i]= cPTV[index[i]];
 160   }
 161   for (Int_t i=0; i<npoints;i++){
 162     cPTV[i] =tmpsort[i];
 163   }
 164   delete [] index;
 165   delete [] tmpsort;
 166   recVDrift(npoints,timeV,vdriftV,cPTV,noise,sshift);
 167 }
 168
 169
 170 void  fitLinear(TChain * chainTime, Double_t& rms, Double_t & corr){
 171   //
 172   // Fit globaly - make aliases;
 173   //
 174   TStatToolkit toolkit;
 175   Double_t chi2=0;
 176   Int_t    npoints=0;
 177   TVectorD fitParam;
 178   TMatrixD covMatrix;
 179   TString  fitStr="";
 180   fitStr+="(atpcor)++";
 181   fitStr+="(trigger==1)++";
 182   fitStr+="(trigger==2)++";
 183   fitStr+="(trigger==4)++";
 184   fitStr+="(trigger==8)++";
 185
 186   TString *strvdpt1 = 0;
 187   strvdpt1 = toolkit.FitPlane(chainTime,"(dvdrift)",fitStr.Data(),"mcut" , chi2,npoints,fitParam,covMatrix);
 188   chainTime->SetAlias("driftG",strvdpt1->Data());
 189
 190   strvdpt1 =toolkit.FitPlane(chainTime,"(dvdrift)",fitStr.Data(),"mcut&&abs(fDz-500*driftG)<2" , chi2,npoints,fitParam,covMatrix);
 191   chainTime->SetAlias("driftG",strvdpt1->Data());
 192
 193
 194   rms = TMath::Sqrt(chi2/npoints);
 195   corr = fitParam[1];  // cPT parameter
 196   //
 197   //
 198   fitStr="";
 199   fitStr+="(trigger==1)++";
 200   fitStr+="(trigger==2)++";
 201   fitStr+="(trigger==4)++";
 202   fitStr+="(trigger==8)++";
 203   TString fitExpr = "(dvdrift)-";
 204   fitExpr+=fitParam[1];
 205   fitExpr+="* (atpcor)";
 206   TString *strCorr = toolkit.FitPlane(chainTime,fitExpr.Data(),fitStr.Data(),"abs(fDz-500*driftG)<1" , chi2,npoints,fitParam,covMatrix);
 207   chainTime->SetAlias("trCorr",strCorr->Data());
 208
 209
 210   fitStr="";
 211   fitStr+="(atpcor)++";
 212   fitStr+="(atpcor)^2++";
 213   fitStr+="(trigger==1)++";
 214   fitStr+="(trigger==2)++";
 215   fitStr+="(trigger==4)++";
 216   fitStr+="(trigger==8)++";
 217   TString *strvdpt2 = 0;
 218   strvdpt2 =toolkit.FitPlane(chainTime,"(dvdrift)",fitStr.Data(),"mcut&&abs(fDz-500*driftG)<2" , chi2,npoints,fitParam,covMatrix);
 219   chainTime->SetAlias("driftG2",strvdpt2->Data());
 220
 221
 222 }