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/data/refman/pasoursint/CMSSW_5_3_1/src/RecoParticleFlow/PFClusterTools/src/PFEnergyCalibration.cc

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00001 #include "RecoParticleFlow/PFClusterTools/interface/PFEnergyCalibration.h"
00002 #include "CondFormats/PhysicsToolsObjects/interface/PerformancePayloadFromTFormula.h"
00003 #include <TMath.h>
00004 #include <math.h>
00005 #include <vector>
00006 #include <TF1.h>
00007 #include <map>
00008 
00009 using namespace std;
00010 
00011 PFEnergyCalibration::PFEnergyCalibration() : pfCalibrations(0)
00012 {
00013   initializeCalibrationFunctions();
00014 }
00015 
00016 PFEnergyCalibration::~PFEnergyCalibration() 
00017 {
00018 
00019   delete faBarrel;
00020   delete fbBarrel;
00021   delete fcBarrel;
00022   delete faEtaBarrel;
00023   delete fbEtaBarrel;
00024   delete faEndcap;
00025   delete fbEndcap;
00026   delete fcEndcap;
00027   delete faEtaEndcap;
00028   delete fbEtaEndcap;
00029 
00030 }
00031 
00032 void
00033 PFEnergyCalibration::initializeCalibrationFunctions() {
00034 
00035   // NEW NEW with HCAL pre-calibration
00036 
00037   threshE = 3.5;
00038   threshH = 2.5;
00039 
00040   // Barrel (fit made with |eta| < 1.2)
00041   faBarrel = new TF1("faBarrel","[0]+([1]+[2]/sqrt(x))*exp(-x/[3])-[4]*exp(-x*x/[5])",1.,1000.);
00042   fbBarrel = new TF1("fbBarrel","[0]+([1]+[2]/sqrt(x))*exp(-x/[3])-[4]*exp(-x*x/[5])",1.,1000.);
00043   fcBarrel = new TF1("fcBarrel","[0]+([1]+[2]/sqrt(x))*exp(-x/[3])-[4]*exp(-x*x/[5])",1.,1000.);
00044   faEtaBarrel = new TF1("faEtaBarrel","[0]+[1]*exp(-x/[2])",1.,1000.);
00045   fbEtaBarrel = new TF1("fbEtaBarrel","[0]+[1]*exp(-x/[2])+[3]*[3]*exp(-x*x/([4]*[4]))",1.,1000.);
00046   faBarrel->SetParameter(0,1.15665);
00047   fbBarrel->SetParameter(0,0.994603);
00048   fcBarrel->SetParameter(0,0.956544);
00049   faEtaBarrel->SetParameter(0,0.014664);
00050   fbEtaBarrel->SetParameter(0,0.00975451);
00051   faBarrel->SetParameter(1,0.165627);
00052   fbBarrel->SetParameter(1,0.13632);
00053   fcBarrel->SetParameter(1,0.0857207);
00054   faEtaBarrel->SetParameter(1,-0.0426776);
00055   fbEtaBarrel->SetParameter(1,0.102247);
00056   faBarrel->SetParameter(2,0.827718);
00057   fbBarrel->SetParameter(2,-0.758013);
00058   fcBarrel->SetParameter(2,-0.44347);
00059   faEtaBarrel->SetParameter(2,431.054);
00060   fbEtaBarrel->SetParameter(2,436.21);
00061   faBarrel->SetParameter(3,231.339);
00062   fbBarrel->SetParameter(3,183.627);
00063   fcBarrel->SetParameter(3,63.3479);
00064   faBarrel->SetParameter(4,2.45332);
00065   fbBarrel->SetParameter(4,1);
00066   fcBarrel->SetParameter(4,1.24174);
00067   faBarrel->SetParameter(5,29.6603);
00068   fbBarrel->SetParameter(5,39.6784);
00069   fcBarrel->SetParameter(5,12.322);
00070 
00071   // End-caps (fit made with eta 
00072   faEndcap = new TF1("faEndcap","[0]+([1]+[2]/sqrt(x))*exp(-x/[3])-[4]*exp(-x*x/[5])",1.,1000.);
00073   fbEndcap = new TF1("fbEndcap","[0]+([1]+[2]/sqrt(x))*exp(-x/[3])-[4]*exp(-x*x/[5])",1.,1000.);
00074   fcEndcap = new TF1("fcEndcap","[0]+([1]+[2]/sqrt(x))*exp(-x/[3])-[4]*exp(-x*x/[5])",1.,1000.);
00075   faEtaEndcap = new TF1("faEtaEndcap","[0]+[1]*exp(-x/[2])",1.,1000.);
00076   fbEtaEndcap = new TF1("fbEtaEndcap","[0]+[1]*exp(-x/[2])+[3]*[3]*exp(-x*x/([4]*[4]))",1.,1000.);
00077   faEndcap->SetParameter(0,1.1272);
00078   fbEndcap->SetParameter(0,0.982824);
00079   fcEndcap->SetParameter(0,0.950244);
00080   faEtaEndcap->SetParameter(0,-0.000582903);
00081   fbEtaEndcap->SetParameter(0,0.0267319);
00082   faEndcap->SetParameter(1,0.258536);
00083   fbEndcap->SetParameter(1,0.0977533);
00084   fcEndcap->SetParameter(1,0.00564779);
00085   faEtaEndcap->SetParameter(1,-0.000482148);
00086   fbEtaEndcap->SetParameter(1,-0.554552);
00087   faEndcap->SetParameter(2,0.808071);
00088   fbEndcap->SetParameter(2,0.155416);
00089   fcEndcap->SetParameter(2,0.227162);
00090   faEtaEndcap->SetParameter(2,209.466);
00091   fbEtaEndcap->SetParameter(2,1.71188);
00092   faEndcap->SetParameter(3,214.039);
00093   fbEndcap->SetParameter(3,240.379);
00094   fcEndcap->SetParameter(3,207.786);
00095   fbEtaEndcap->SetParameter(3,0.235834);
00096   faEndcap->SetParameter(4,2);
00097   fbEndcap->SetParameter(4,1.2);
00098   fcEndcap->SetParameter(4,1.32824);
00099   fbEtaEndcap->SetParameter(4,-135.431);
00100   faEndcap->SetParameter(5,47.2602);
00101   fbEndcap->SetParameter(5,78.3083);
00102   fcEndcap->SetParameter(5,22.1825);
00103   
00104 }
00105 
00106 void 
00107 PFEnergyCalibration::energyEmHad(double t, double& e, double&h, double eta, double phi) const { 
00108  
00109   
00110   // Use calorimetric energy as true energy for neutral particles
00111   double tt = t;
00112   double ee = e;
00113   double hh = h;
00114   double a = 1.;
00115   double b = 1.;
00116   double etaCorrE = 1.;
00117   double etaCorrH = 1.;
00118   t = min(999.9,max(tt,e+h));
00119   if ( t < 1. ) return;
00120 
00121   // Barrel calibration
00122   if ( fabs(eta) < 1.48 ) { 
00123 
00124     // The energy correction
00125     a = e>0. ? aBarrel(t) : 1.;
00126     b = e>0. ? bBarrel(t) : cBarrel(t);
00127     double thresh = e > 0. ? threshE : threshH;
00128 
00129     // Protection against negative calibration - to be tuned
00130     if ( a < -0.25 || b < -0.25 ) { 
00131       a = 1.;
00132       b = 1.;
00133       thresh = 0.;
00134     }
00135 
00136     // The new estimate of the true energy
00137     t = min(999.9,max(tt, thresh+a*e+b*h));
00138 
00139     // The angular correction for ECAL hadronic deposits
00140     etaCorrE = 1. + aEtaBarrel(t) + bEtaBarrel(t)*fabs(eta)*fabs(eta);
00141     etaCorrH = 1.;
00142     // etaCorr = 1.;
00143     t = max(tt, thresh+etaCorrE*a*e+etaCorrH*b*h);
00144 
00145     if ( e > 0. && thresh > 0. ) 
00146       e = h > 0. ? threshE-threshH + etaCorrE * a * e : threshE + etaCorrE * a * e;
00147     if ( h > 0. && thresh > 0. ) 
00148       h = threshH + etaCorrH * b * h;
00149 
00150     /*
00151     if ( e < 0. || h < 0. ) { 
00152       std::cout << "Warning : Energy correction ! " << std::endl
00153                 << "eta,tt,e,h,a,b = " << eta << " " << tt << " " 
00154                 << ee << "/" << e << " " << hh << "/" << h << " " << a << " " << b << std::endl;
00155     }
00156       
00157     if ( etaCorrE > 2. || etaCorrE < 0.5 || 
00158          etaCorrH > 2. || etaCorrH < 0.5 ) 
00159       std::cout << "Warning : Angular correction ! " << std::endl
00160                 << "etaCorrE,etaCorrH,eta,t = " 
00161                 << etaCorrE << " " << etaCorrH << " " << eta << " " << t << std::endl;
00162     */
00163 
00164   // Endcap calibration   
00165   } else {
00166 
00167     // The energy correction
00168     a = e>0. ? aEndcap(t) : 1.;
00169     b = e>0. ? bEndcap(t) : cEndcap(t);
00170     double thresh = e > 0. ? threshE : threshH;
00171 
00172     if ( a < -0.25 || b < -0.25 ) { 
00173       a = 1.;
00174       b = 1.;
00175       thresh = 0.;
00176     }
00177 
00178     // The new estimate of the true energy
00179     t = min(999.9,max(tt, thresh+a*e+b*h));
00180     
00181     // The angular correction
00182     double dEta = fabs ( fabs(eta) - 1.5 );
00183     double etaPow = dEta * dEta * dEta * dEta;
00184     //etaCorrE = 1. + aEtaEndcap(t) + 0.5*bEtaEndcap(t)*etaPow;
00185     etaCorrE = 1. + aEtaEndcap(t) + bEtaEndcap(t)*etaPow;
00186     etaCorrH = 1. + aEtaEndcap(t) + bEtaEndcap(t)*etaPow;
00187     /*
00188     if ( etaCorr > 2. || etaCorr < 0.5 ) 
00189       std::cout << "Warning : Angular correction ! " << std::endl
00190                 << "etaCorr,eta,t = " << etaCorr << " " << eta << " " << tt 
00191                 << " ee,hh,e,h = " << e << " " << h << " " << a*e << " " << b*h  
00192                 << std::endl;
00193     */
00194 
00195     t = min(999.9,max(tt, thresh + etaCorrE*a*e + etaCorrH*b*h));
00196 
00197     if ( e > 0. && thresh > 0. ) 
00198       e = h > 0. ? threshE-threshH + etaCorrE * a * e : threshE + etaCorrE * a * e;
00199     if ( h > 0. && thresh > 0. ) 
00200       h = threshH + b * etaCorrH * h;
00201 
00202 
00203   }
00204 
00205   // Protection
00206   if ( e < 0. || h < 0. ) {
00207     /*
00208     std::cout << "Warning : Energy correction ! " << std::endl
00209               << "eta,tt,e,h,a,b = " << eta << " " << tt << " " 
00210               << ee << "/" << e << " " << hh << "/" << h << " " << a << " " << b << std::endl;
00211     */
00212     // Some protection against crazy calibration
00213     if ( e < 0. ) e = ee;
00214     if ( h < 0. ) h = hh;
00215   }
00216 
00217   // And that's it !
00218 
00219   
00220 }
00221 
00222 // The calibration functions
00223 double 
00224 PFEnergyCalibration::aBarrel(double x) const { 
00225 
00226   if ( pfCalibrations ) { 
00227 
00228     BinningPointByMap point;
00229     point.insert(BinningVariables::JetEt, x);
00230     return pfCalibrations->getResult(PerformanceResult::PFfa_BARREL,point); 
00231 
00232   } else { 
00233 
00234     return faBarrel->Eval(x); 
00235 
00236   }
00237 }
00238 
00239 double 
00240 PFEnergyCalibration::bBarrel(double x) const { 
00241 
00242   if ( pfCalibrations ) { 
00243 
00244     BinningPointByMap point;
00245     point.insert(BinningVariables::JetEt, x);
00246     return pfCalibrations->getResult(PerformanceResult::PFfb_BARREL,point); 
00247 
00248   } else { 
00249 
00250     return fbBarrel->Eval(x); 
00251 
00252   }
00253 }
00254 
00255 double 
00256 PFEnergyCalibration::cBarrel(double x) const { 
00257 
00258   if ( pfCalibrations ) { 
00259 
00260     BinningPointByMap point;
00261     point.insert(BinningVariables::JetEt, x);
00262     return pfCalibrations->getResult(PerformanceResult::PFfc_BARREL,point); 
00263 
00264   } else { 
00265 
00266     return fcBarrel->Eval(x); 
00267 
00268   }
00269 }
00270 
00271 double 
00272 PFEnergyCalibration::aEtaBarrel(double x) const { 
00273 
00274   if ( pfCalibrations ) { 
00275 
00276     BinningPointByMap point;
00277     point.insert(BinningVariables::JetEt, x);
00278     return pfCalibrations->getResult(PerformanceResult::PFfaEta_BARREL,point); 
00279 
00280   } else { 
00281 
00282     return faEtaBarrel->Eval(x); 
00283 
00284   }
00285 }
00286 
00287 double 
00288 PFEnergyCalibration::bEtaBarrel(double x) const { 
00289 
00290   if ( pfCalibrations ) { 
00291 
00292     BinningPointByMap point;
00293     point.insert(BinningVariables::JetEt, x);
00294     return pfCalibrations->getResult(PerformanceResult::PFfbEta_BARREL,point); 
00295 
00296   } else { 
00297 
00298     return fbEtaBarrel->Eval(x); 
00299 
00300   }
00301 }
00302 
00303 double 
00304 PFEnergyCalibration::aEndcap(double x) const { 
00305 
00306   if ( pfCalibrations ) { 
00307 
00308     BinningPointByMap point;
00309     point.insert(BinningVariables::JetEt, x);
00310     return pfCalibrations->getResult(PerformanceResult::PFfa_ENDCAP,point); 
00311 
00312   } else { 
00313 
00314     return faEndcap->Eval(x); 
00315 
00316   }
00317 }
00318 
00319 double 
00320 PFEnergyCalibration::bEndcap(double x) const { 
00321 
00322   if ( pfCalibrations ) { 
00323 
00324     BinningPointByMap point;
00325     point.insert(BinningVariables::JetEt, x);
00326     return pfCalibrations->getResult(PerformanceResult::PFfb_ENDCAP,point); 
00327 
00328   } else { 
00329 
00330     return fbEndcap->Eval(x); 
00331 
00332   }
00333 }
00334 
00335 double 
00336 PFEnergyCalibration::cEndcap(double x) const { 
00337 
00338   if ( pfCalibrations ) { 
00339 
00340     BinningPointByMap point;
00341     point.insert(BinningVariables::JetEt, x);
00342     return pfCalibrations->getResult(PerformanceResult::PFfc_ENDCAP,point); 
00343 
00344   } else { 
00345 
00346     return fcEndcap->Eval(x); 
00347 
00348   }
00349 }
00350 
00351 double 
00352 PFEnergyCalibration::aEtaEndcap(double x) const { 
00353 
00354   if ( pfCalibrations ) { 
00355 
00356     BinningPointByMap point;
00357     point.insert(BinningVariables::JetEt, x);
00358     return pfCalibrations->getResult(PerformanceResult::PFfaEta_ENDCAP,point); 
00359 
00360   } else { 
00361 
00362     return faEtaEndcap->Eval(x); 
00363 
00364   }
00365 }
00366 
00367 double 
00368 PFEnergyCalibration::bEtaEndcap(double x) const { 
00369 
00370   if ( pfCalibrations ) { 
00371 
00372     BinningPointByMap point;
00373     point.insert(BinningVariables::JetEt, x);
00374     return pfCalibrations->getResult(PerformanceResult::PFfbEta_ENDCAP,point); 
00375 
00376   } else { 
00377 
00378     return fbEtaEndcap->Eval(x); 
00379 
00380   }
00381 }
00382 
00383 
00384 double
00385 PFEnergyCalibration::energyEm(const reco::PFCluster& clusterEcal,
00386                               std::vector<double> &EclustersPS1,
00387                               std::vector<double> &EclustersPS2,
00388                               bool crackCorrection ){
00389   double eEcal = clusterEcal.energy();
00390   //temporaty ugly fix
00391   reco::PFCluster myPFCluster=clusterEcal;
00392   myPFCluster.calculatePositionREP();
00393   double eta = myPFCluster.positionREP().eta();
00394   double phi = myPFCluster.positionREP().phi();
00395 
00396   double ePS1 = 0;
00397   double ePS2 = 0;
00398 
00399   for(unsigned i=0;i<EclustersPS1.size();i++) ePS1 += EclustersPS1[i];
00400   for(unsigned i=0;i<EclustersPS2.size();i++) ePS2 += EclustersPS2[i];
00401 
00402   double calibrated = Ecorr(eEcal,ePS1,ePS2,eta,phi, crackCorrection);
00403   if(eEcal!=0 && calibrated==0) std::cout<<"Eecal = "<<eEcal<<"  eta = "<<eta<<"  phi = "<<phi<<std::endl; 
00404   return calibrated; 
00405 }
00406 
00407 double PFEnergyCalibration::energyEm(const reco::PFCluster& clusterEcal,
00408                                      std::vector<double> &EclustersPS1,
00409                                      std::vector<double> &EclustersPS2,
00410                                      double& ps1,double& ps2,
00411                                      bool crackCorrection){
00412   double eEcal = clusterEcal.energy();
00413   //temporaty ugly fix
00414   reco::PFCluster myPFCluster=clusterEcal;
00415   myPFCluster.calculatePositionREP();
00416   double eta = myPFCluster.positionREP().eta();
00417   double phi = myPFCluster.positionREP().phi();
00418 
00419   double ePS1 = 0;
00420   double ePS2 = 0;
00421 
00422   for(unsigned i=0;i<EclustersPS1.size();i++) ePS1 += EclustersPS1[i];
00423   for(unsigned i=0;i<EclustersPS2.size();i++) ePS2 += EclustersPS2[i];
00424 
00425   double calibrated = Ecorr(eEcal,ePS1,ePS2,eta,phi,ps1,ps2,crackCorrection);
00426   if(eEcal!=0 && calibrated==0) std::cout<<"Eecal = "<<eEcal<<"  eta = "<<eta<<"  phi = "<<phi<<std::endl; 
00427   return calibrated; 
00428 }
00429 
00430 
00431 std::ostream& operator<<(std::ostream& out,
00432                          const PFEnergyCalibration& calib) {
00433 
00434   if(!out ) return out;
00435 
00436   out<<"PFEnergyCalibration -- "<<endl;
00437 
00438   if ( calib.pfCalibrations ) { 
00439 
00440     std::cout << "Functions taken from the global tags : " << std::endl;
00441 
00442     static std::map<std::string, PerformanceResult::ResultType> functType;
00443 
00444     functType["PFfa_BARREL"] = PerformanceResult::PFfa_BARREL;
00445     functType["PFfa_ENDCAP"] = PerformanceResult::PFfa_ENDCAP;
00446     functType["PFfb_BARREL"] = PerformanceResult::PFfb_BARREL;
00447     functType["PFfb_ENDCAP"] = PerformanceResult::PFfb_ENDCAP;
00448     functType["PFfc_BARREL"] = PerformanceResult::PFfc_BARREL;
00449     functType["PFfc_ENDCAP"] = PerformanceResult::PFfc_ENDCAP;
00450     functType["PFfaEta_BARREL"] = PerformanceResult::PFfaEta_BARREL;
00451     functType["PFfaEta_ENDCAP"] = PerformanceResult::PFfaEta_ENDCAP;
00452     functType["PFfbEta_BARREL"] = PerformanceResult::PFfbEta_BARREL;
00453     functType["PFfbEta_ENDCAP"] = PerformanceResult::PFfbEta_ENDCAP;
00454     
00455     for(std::map<std::string,PerformanceResult::ResultType>::const_iterator 
00456           func = functType.begin(); 
00457         func != functType.end(); 
00458         ++func) {    
00459       
00460       cout << "Function: " << func->first << endl;
00461       PerformanceResult::ResultType fType = func->second;
00462       calib.pfCalibrations->printFormula(fType);
00463     }
00464 
00465   } else { 
00466     
00467     std::cout << "Default calibration functions : " << std::endl;
00468     
00469     calib.faBarrel->Print();
00470     calib.fbBarrel->Print();
00471     calib.fcBarrel->Print();
00472     calib.faEtaBarrel->Print();
00473     calib.fbEtaBarrel->Print();
00474     calib.faEndcap->Print();
00475     calib.fbEndcap->Print();
00476     calib.fcEndcap->Print();
00477     calib.faEtaEndcap->Print();
00478     calib.fbEtaEndcap->Print();
00479   }
00480     
00481   return out;
00482 }
00483 
00484 
00485 
00486 
00499 
00500 
00501 
00507 
00508 
00509 //useful to compute the signed distance to the closest crack in the barrel
00510 double
00511 PFEnergyCalibration::minimum(double a,double b){
00512   if(TMath::Abs(b)<TMath::Abs(a)) a=b;
00513   return a;
00514 }
00515 
00516 
00517 //compute the unsigned distance to the closest phi-crack in the barrel
00518 double
00519 PFEnergyCalibration::dCrackPhi(double phi, double eta){
00520 
00521   static double pi= M_PI;// 3.14159265358979323846;
00522   
00523   //Location of the 18 phi-cracks
00524   static std::vector<double> cPhi;
00525   if(cPhi.size()==0)
00526     {
00527       cPhi.resize(18,0);
00528       cPhi[0]=2.97025;
00529       for(unsigned i=1;i<=17;++i) cPhi[i]=cPhi[0]-2*i*pi/18;
00530     }
00531 
00532   //Shift of this location if eta<0
00533   static double delta_cPhi=0.00638;
00534 
00535   double m; //the result
00536 
00537   //the location is shifted
00538   if(eta<0) phi +=delta_cPhi;
00539 
00540   if (phi>=-pi && phi<=pi){
00541 
00542     //the problem of the extrema
00543     if (phi<cPhi[17] || phi>=cPhi[0]){
00544       if (phi<0) phi+= 2*pi;
00545       m = minimum(phi -cPhi[0],phi-cPhi[17]-2*pi);              
00546     }
00547 
00548     //between these extrema...
00549     else{
00550       bool OK = false;
00551       unsigned i=16;
00552       while(!OK){
00553         if (phi<cPhi[i]){
00554           m=minimum(phi-cPhi[i+1],phi-cPhi[i]);
00555           OK=true;
00556         }
00557         else i-=1;
00558       }
00559     }
00560   }
00561   else{
00562     m=0.;        //if there is a problem, we assum that we are in a crack
00563     std::cout<<"Problem in dminphi"<<std::endl;
00564   }
00565   if(eta<0) m=-m;   //because of the disymetry
00566   return m;
00567 }
00568 
00569 // corrects the effect of phi-cracks
00570 double
00571 PFEnergyCalibration::CorrPhi(double phi, double eta) {
00572 
00573   // we use 3 gaussians to correct the phi-cracks effect
00574   static double p1=   5.59379e-01;
00575   static double p2=   -1.26607e-03;
00576   static double p3=  9.61133e-04;
00577 
00578   static double p4=   1.81691e-01;
00579   static double p5=   -4.97535e-03;
00580   static double p6=   1.31006e-03;
00581 
00582   static double p7=   1.38498e-01;
00583   static double p8=   1.18599e-04;
00584   static double p9= 2.01858e-03;
00585   
00586 
00587   double dminphi = dCrackPhi(phi,eta);
00588   
00589   double result = (1+p1*TMath::Gaus(dminphi,p2,p3)+p4*TMath::Gaus(dminphi,p5,p6)+p7*TMath::Gaus(dminphi,p8,p9));
00590 
00591   return result;
00592 }   
00593 
00594 
00595 // corrects the effect of  |eta|-cracks
00596 double
00597 PFEnergyCalibration::CorrEta(double eta){
00598   
00599   // we use a gaussian with a screwness for each of the 5 |eta|-cracks
00600   static std::vector<double> a;  //amplitude
00601   static std::vector<double> m;  //mean
00602   static std::vector<double> s;  //sigma
00603   static std::vector<double> sa; // screwness amplitude
00604   static std::vector<double> ss; // screwness sigma
00605 
00606   if(a.size()==0)
00607     {
00608       a.push_back(6.13349e-01) ;a.push_back(5.08146e-01)  ;a.push_back(4.44480e-01) ;a.push_back(3.3487e-01)   ;a.push_back(7.65627e-01) ;
00609       m.push_back(-1.79514e-02);m.push_back(4.44747e-01)  ;m.push_back(7.92824e-01) ;m.push_back(1.14090e+00)  ;m.push_back(1.47464e+00) ;
00610       s.push_back(7.92382e-03) ;s.push_back(3.06028e-03)  ;s.push_back(3.36139e-03) ;s.push_back(3.94521e-03)  ;s.push_back(8.63950e-04) ;
00611       sa.push_back(1.27228e+01);sa.push_back(3.81517e-02) ;sa.push_back(1.63507e-01);sa.push_back(-6.56480e-02);sa.push_back(1.87160e-01);
00612       ss.push_back(5.48753e-02);ss.push_back(-1.00223e-02);ss.push_back(2.22866e-03);ss.push_back(4.26288e-04) ;ss.push_back(2.67937e-03);
00613     }
00614  double result = 1;
00615 
00616  for(unsigned i=0;i<=4;i++) result+=a[i]*TMath::Gaus(eta,m[i],s[i])*(1+sa[i]*TMath::Sign(1.,eta-m[i])*TMath::Exp(-TMath::Abs(eta-m[i])/ss[i]));
00617 
00618   return result;
00619 }
00620 
00621 
00622 //corrects the global behaviour in the barrel
00623 double
00624 PFEnergyCalibration::CorrBarrel(double E, double eta) {
00625 
00626   //Energy dependency
00627   /*
00628   //YM Parameters 52XX:
00629   static double p0=1.00000e+00;
00630   static double p1=3.27753e+01;
00631   static double p2=2.28552e-02;
00632   static double p3=3.06139e+00;
00633   static double p4=2.25135e-01;
00634   static double p5=1.47824e+00;
00635   static double p6=1.09e-02;
00636   static double p7=4.19343e+01;
00637   */
00638   static double p0 = 0.9944;
00639   static double p1 = 9.827;
00640   static double p2 = 1.503;
00641   static double p3 = 1.196;
00642   static double p4 = 0.3349;
00643   static double p5 = 0.89;
00644   static double p6 = 0.004361;
00645   static double p7 = 51.51;
00646   //Eta dependency
00647   static double p8=2.705593e-03;
00648   
00649   double result = (p0+1/(p1+p2*TMath::Power(E,p3))+p4*TMath::Exp(-E/p5)+p6*TMath::Exp(-E*E/(p7*p7)))*(1+p8*eta*eta);
00650 
00651   return result;
00652 }
00653 
00654 
00655 
00664 
00665 
00666 //Alpha, Beta, Gamma give the weight of each sub-detector (PS layer1, PS layer2 and Ecal) in the areas of the endcaps where there is a PS
00667 // Etot = Beta*eEcal + Gamma*(ePS1 + Alpha*ePS2) 
00668 
00669 double
00670 PFEnergyCalibration::Alpha(double eta) {
00671 
00672   //Energy dependency
00673   static double p0 = 5.97621e-01;
00674 
00675   //Eta dependency
00676   static double p1 =-1.86407e-01;
00677   static double p2 = 3.85197e-01; 
00678 
00679   //so that <feta()> = 1
00680   static double norm = (p1+p2*(2.6+1.656)/2);
00681 
00682   double result = p0*(p1+p2*eta)/norm;
00683 
00684   return result;
00685 }
00686 
00687 double
00688 PFEnergyCalibration::Beta(double E, double eta) {
00689 
00690  //Energy dependency
00691   static double p0 = 0.032;
00692   static double p1 = 9.70394e-02;
00693   static double p2 = 2.23072e+01;
00694   static double p3 = 100;
00695 
00696   //Eta dependency
00697   static double p4 = 1.02496e+00 ;
00698   static double p5 = -4.40176e-03 ;
00699 
00700   //so that <feta()> = 1
00701   static double norm = (p4+p5*(2.6+1.656)/2);
00702 
00703   double result = (1.0012+p0*TMath::Exp(-E/p3)+p1*TMath::Exp(-E/p2))*(p4+p5*eta)/norm;                    
00704   return result;
00705 }
00706 
00707 
00708 double
00709 PFEnergyCalibration::Gamma(double etaEcal) {
00710 
00711  //Energy dependency
00712   static double p0 = 2.49752e-02;
00713 
00714   //Eta dependency
00715   static double p1 = 6.48816e-02;
00716   static double p2 = -1.59517e-02; 
00717  
00718   //so that <feta()> = 1
00719   static double norm = (p1+p2*(2.6+1.656)/2);
00720 
00721   double result = p0*(p1+p2*etaEcal)/norm;                                        
00722 
00723   return result;
00724 }
00725 
00726 
00727 
00733 
00734 
00735 // returns the corrected energy in the barrel (0,1.48)
00736 // Global Behaviour, phi and eta cracks are taken into account
00737 double
00738 PFEnergyCalibration::EcorrBarrel(double E, double eta, double phi,
00739                                  bool crackCorrection ){
00740 
00741   // double result = E*CorrBarrel(E,eta)*CorrEta(eta)*CorrPhi(phi,eta);
00742   double correction = crackCorrection ? std::max(CorrEta(eta),CorrPhi(phi,eta)) : 1.;
00743   double result = E * CorrBarrel(E,eta) * correction;
00744 
00745   return result;
00746 }
00747 
00748 
00749 // returns the corrected energy in the area between the barrel and the PS (1.48,1.65)
00750 double
00751 PFEnergyCalibration::EcorrZoneBeforePS(double E, double eta){
00752 
00753  //Energy dependency
00754   static double p0 =1; 
00755   static double p1 =0.18;
00756   static double p2 =8.;
00757 
00758   //Eta dependency
00759   static double p3 =0.3;
00760   static double p4 =1.11;
00761   static double p5 =0.025;
00762   static double p6 =1.49;
00763   static double p7 =0.6;
00764 
00765   //so that <feta()> = 1
00766   static double norm = 1.21;
00767 
00768   double result = E*(p0+p1*TMath::Exp(-E/p2))*(p3+p4*TMath::Gaus(eta,p6,p5)+p7*eta)/norm;
00769 
00770   return result;
00771 }
00772 
00773 
00774 // returns the corrected energy in the PS (1.65,2.6)
00775 // only when (ePS1>0)||(ePS2>0)
00776 double
00777 PFEnergyCalibration::EcorrPS(double eEcal,double ePS1,double ePS2,double etaEcal) {
00778 
00779   // gives the good weights to each subdetector
00780   double E = Beta(1.0155*eEcal+0.025*(ePS1+0.5976*ePS2)/9e-5,etaEcal)*eEcal+Gamma(etaEcal)*(ePS1+Alpha(etaEcal)*ePS2)/9e-5 ;
00781 
00782   //Correction of the residual energy dependency
00783   static double p0 = 1.00;
00784   static double p1 = 2.18;
00785   static double p2 =1.94;
00786   static double p3 =4.13;
00787   static double p4 =1.127;
00788 
00789   double result = E*(p0+p1*TMath::Exp(-E/p2)-p3*TMath::Exp(-E/p4));
00790 
00791   return result;
00792 } 
00793 
00794 // returns the corrected energy in the PS (1.65,2.6)
00795 // only when (ePS1>0)||(ePS2>0)
00796 double
00797 PFEnergyCalibration::EcorrPS(double eEcal,double ePS1,double ePS2,double etaEcal,double & outputPS1, double & outputPS2) {
00798 
00799   // gives the good weights to each subdetector
00800   double gammaprime=Gamma(etaEcal)/9e-5;
00801   outputPS1=gammaprime*ePS1;
00802   outputPS2=gammaprime*Alpha(etaEcal)*ePS2;
00803   double E = Beta(1.0155*eEcal+0.025*(ePS1+0.5976*ePS2)/9e-5,etaEcal)*eEcal+outputPS1+outputPS2;
00804 
00805   //Correction of the residual energy dependency
00806   static double p0 = 1.00;
00807   static double p1 = 2.18;
00808   static double p2 =1.94;
00809   static double p3 =4.13;
00810   static double p4 =1.127;
00811   
00812   double corrfac=(p0+p1*TMath::Exp(-E/p2)-p3*TMath::Exp(-E/p4));
00813   outputPS1*=corrfac;
00814   outputPS2*=corrfac;
00815   double result = E*corrfac;
00816 
00817   return result;
00818 } 
00819 
00820 
00821 // returns the corrected energy in the PS (1.65,2.6)
00822 // only when (ePS1=0)&&(ePS2=0)
00823 double 
00824 PFEnergyCalibration::EcorrPS_ePSNil(double eEcal,double eta){
00825 
00826   //Energy dependency
00827   static double p0= 1.02;
00828   static double p1= 0.165;
00829   static double p2= 6.5 ;
00830   static double p3=  2.1 ;
00831 
00832   //Eta dependency
00833   static double p4 = 1.02496e+00 ;
00834   static double p5 = -4.40176e-03 ;
00835 
00836   //so that <feta()> = 1
00837   static double norm = (p4+p5*(2.6+1.656)/2);
00838 
00839   double result = eEcal*(p0+p1*TMath::Exp(-TMath::Abs(eEcal-p3)/p2))*(p4+p5*eta)/norm;
00840                   
00841   return result;
00842 }
00843 
00844 
00845 // returns the corrected energy in the area between the end of the PS and the end of the endcap (2.6,2.98)
00846 double
00847 PFEnergyCalibration::EcorrZoneAfterPS(double E, double eta){
00848 
00849   //Energy dependency
00850   static double p0 =1; 
00851   static double p1 = 0.058;
00852   static double p2 =12.5;
00853   static double p3 =-1.05444e+00;
00854   static double p4 =-5.39557e+00;
00855   static double p5 =8.38444e+00;
00856   static double p6 = 6.10998e-01  ;
00857 
00858   //Eta dependency
00859   static double p7 =1.06161e+00;
00860   static double p8 = 0.41;
00861   static double p9 =2.918;
00862   static double p10 =0.0181;
00863   static double p11= 2.05;
00864   static double p12 =2.99;
00865   static double p13=0.0287;
00866 
00867   //so that <feta()> = 1
00868   static double norm=1.045;
00869 
00870   double result = E*(p0+p1*TMath::Exp(-(E-p3)/p2)+1/(p4+p5*TMath::Power(E,p6)))*(p7+p8*TMath::Gaus(eta,p9,p10)+p11*TMath::Gaus(eta,p12,p13))/norm;
00871   return result;
00872 }
00873 
00874 
00875 
00876 
00877 // returns the corrected energy everywhere
00878 // this work should be improved between 1.479 and 1.52 (junction barrel-endcap)
00879 double
00880 PFEnergyCalibration::Ecorr(double eEcal,double ePS1,double ePS2,
00881                            double eta,double phi,
00882                            bool crackCorrection ) {
00883 
00884   static double endBarrel=1.48;
00885   static double beginingPS=1.65;
00886   static double endPS=2.6;
00887   static double endEndCap=2.98;
00888  
00889   double result=0;
00890 
00891   eta=TMath::Abs(eta);
00892 
00893   if(eEcal>0){
00894     if(eta <= endBarrel)                         result = EcorrBarrel(eEcal,eta,phi,crackCorrection);
00895     else if(eta <= beginingPS)                   result = EcorrZoneBeforePS(eEcal,eta);
00896     else if((eta < endPS) && ePS1==0 && ePS2==0) result = EcorrPS_ePSNil(eEcal,eta);
00897     else if(eta < endPS)                         result = EcorrPS(eEcal,ePS1,ePS2,eta);
00898     else if(eta < endEndCap)                     result = EcorrZoneAfterPS(eEcal,eta); 
00899     else result =eEcal;
00900   }
00901   else result = eEcal;// useful if eEcal=0 or eta>2.98
00902   //protection
00903   if(result<eEcal) result=eEcal;
00904   return result;
00905 }
00906 
00907 // returns the corrected energy everywhere
00908 // this work should be improved between 1.479 and 1.52 (junction barrel-endcap)
00909 double
00910 PFEnergyCalibration::Ecorr(double eEcal,double ePS1,double ePS2,double eta,double phi,double& ps1,double&ps2,bool crackCorrection)  {
00911 
00912   static double endBarrel=1.48;
00913   static double beginingPS=1.65;
00914   static double endPS=2.6;
00915   static double endEndCap=2.98;
00916  
00917   double result=0;
00918 
00919   eta=TMath::Abs(eta);
00920 
00921   if(eEcal>0){
00922     if(eta <= endBarrel)                         result = EcorrBarrel(eEcal,eta,phi,crackCorrection);
00923     else if(eta <= beginingPS)                   result = EcorrZoneBeforePS(eEcal,eta);
00924     else if((eta < endPS) && ePS1==0 && ePS2==0) result = EcorrPS_ePSNil(eEcal,eta);
00925     else if(eta < endPS)                         result = EcorrPS(eEcal,ePS1,ePS2,eta,ps1,ps2);
00926     else if(eta < endEndCap)                     result = EcorrZoneAfterPS(eEcal,eta); 
00927     else result =eEcal;
00928   }
00929   else result = eEcal;// useful if eEcal=0 or eta>2.98
00930   // protection
00931   if(result<eEcal) result=eEcal;
00932   return result;
00933 }