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00001 
00002 //
00003 // JetResolution
00004 // -------------
00005 //
00006 //            11/05/2010 Philipp Schieferdecker <philipp.schieferdecker@cern.ch>
00008 
00009 
00010 #include "CondFormats/JetMETObjects/interface/JetResolution.h"
00011 #include "CondFormats/JetMETObjects/interface/JetCorrectorParameters.h"
00012 
00013 
00014 #include <TMath.h>
00015 
00016 
00017 #include <iostream>
00018 #include <sstream>
00019 #include <cassert>
00020 
00021 
00022 using namespace std;
00023 
00024 
00026 // GLOBAL FUNCTION DEFINITIONS
00028 
00029 //______________________________________________________________________________
00030 double fnc_dscb(double*xx,double*pp);
00031 double fnc_gaussalpha(double*xx,double*pp);
00032 double fnc_gaussalpha1alpha2(double*xx,double*pp);
00033 
00034 
00036 // CONSTRUCTION / DESTRUCTION
00038 
00039 //______________________________________________________________________________
00040 JetResolution::JetResolution()
00041   : resolutionFnc_(0)
00042 {
00043   resolutionFnc_ = new TF1();
00044 }
00045 
00046 
00047 //______________________________________________________________________________
00048 JetResolution::JetResolution(const string& fileName,bool doGaussian)
00049   : resolutionFnc_(0)
00050 {
00051   initialize(fileName,doGaussian);
00052 }
00053 
00054 
00055 //______________________________________________________________________________
00056 JetResolution::~JetResolution()
00057 {
00058   delete resolutionFnc_;
00059   for (unsigned i=0;i<parameterFncs_.size();i++) delete parameterFncs_[i];
00060   for (unsigned i=0;i<parameters_.size();i++)    delete parameters_[i];
00061 }
00062 
00063 
00065 // IMPLEMENTATION OF MEMBER FUNCTIONS
00067 
00068 //______________________________________________________________________________
00069 void JetResolution::initialize(const string& fileName,bool doGaussian)
00070 {
00071   size_t pos;
00072   
00073   name_ = fileName;
00074   pos = name_.find_last_of('.'); name_ = name_.substr(0,pos);
00075   pos = name_.find_last_of('/'); name_ = name_.substr(pos+1);
00076   
00077   JetCorrectorParameters resolutionPars(fileName,"resolution");
00078   string fncname = "fResolution_" + name_;
00079   string formula = resolutionPars.definitions().formula();
00080   if      (doGaussian)                   resolutionFnc_=new TF1(fncname.c_str(),"gaus",0.,5.);
00081   else if (formula=="DSCB")              resolutionFnc_=new TF1(fncname.c_str(),fnc_dscb,0.,5.,7);
00082   else if (formula=="GaussAlpha1Alpha2") resolutionFnc_=new TF1(fncname.c_str(),fnc_gaussalpha1alpha2,-5.,5.,5);
00083   else if (formula=="GaussAlpha")        resolutionFnc_=new TF1(fncname.c_str(),fnc_gaussalpha,-5.,5.,4);
00084   else                                   resolutionFnc_=new TF1(fncname.c_str(),formula.c_str(),0.,5.);
00085   
00086   resolutionFnc_->SetNpx(200);
00087   resolutionFnc_->SetParName(0,"N");
00088   resolutionFnc_->SetParameter(0,1.0);
00089   unsigned nPar(1);
00090   
00091   string tmp = resolutionPars.definitions().level();
00092   pos = tmp.find(':');
00093   while (!tmp.empty()) {
00094     string paramAsStr = tmp.substr(0,pos);
00095     if (!doGaussian||paramAsStr=="mean"||paramAsStr=="sigma") {
00096       parameters_.push_back(new JetCorrectorParameters(fileName,paramAsStr));
00097       formula = parameters_.back()->definitions().formula();
00098       parameterFncs_.push_back(new TF1(("f"+paramAsStr+"_"+name()).c_str(),formula.c_str(),
00099                                        parameters_.back()->record(0).parameters()[0],
00100                                        parameters_.back()->record(0).parameters()[1]));
00101       resolutionFnc_->SetParName(nPar,parameters_.back()->definitions().level().c_str());
00102       nPar++;
00103     }
00104     tmp = (pos==string::npos) ? "" : tmp.substr(pos+1);
00105     pos = tmp.find(':');
00106   }
00107   
00108   assert(nPar==(unsigned)resolutionFnc_->GetNpar());
00109   assert(!doGaussian||nPar==3);
00110 }
00111   
00112 
00113 //______________________________________________________________________________
00114 TF1* JetResolution::resolutionEtaPt(float eta, float pt) const
00115 {
00116   vector<float> x; x.push_back(eta);
00117   vector<float> y; y.push_back(pt);
00118   return resolution(x,y);
00119 }
00120 
00121 
00122 //______________________________________________________________________________
00123 TF1* JetResolution::resolution(const vector<float>& x,
00124                                const vector<float>& y) const
00125 {
00126   unsigned N(y.size());
00127   for (unsigned iPar=0;iPar<parameters_.size();iPar++) {
00128     int bin = parameters_[iPar]->binIndex(x);
00129     assert(bin>=0);
00130     assert(bin<(int)parameters_[iPar]->size());
00131     const std::vector<float>& pars = parameters_[iPar]->record(bin).parameters();
00132     for (unsigned i=2*N;i<pars.size();i++)
00133       parameterFncs_[iPar]->SetParameter(i-2*N,pars[i]);
00134     float yy[4];
00135     for (unsigned i=0;i<N;i++)
00136       yy[i] = (y[i] < pars[2*i]) ? pars[2*i] : (y[i] > pars[2*i+1]) ? pars[2*i+1] : y[i];
00137     resolutionFnc_->SetParameter(iPar+1,
00138                                  parameterFncs_[iPar]->Eval(yy[0],yy[1],yy[2],yy[3]));
00139   }
00140   return resolutionFnc_;
00141 }
00142 
00143 
00144 //______________________________________________________________________________
00145 TF1* JetResolution::parameterEta(const string& parameterName, float eta)
00146 {
00147   vector<float> x; x.push_back(eta);
00148   return parameter(parameterName,x);
00149 }
00150 
00151 
00152 //______________________________________________________________________________
00153 TF1* JetResolution::parameter(const string& parameterName,const vector<float>& x)
00154 {
00155   TF1* result(0);
00156   for (unsigned i=0;i<parameterFncs_.size()&&result==0;i++) {
00157     string fncname = parameterFncs_[i]->GetName();
00158     if (fncname.find("f"+parameterName)==0) {
00159       stringstream ssname; ssname<<parameterFncs_[i]->GetName();
00160       for (unsigned ii=0;ii<x.size();ii++)
00161         ssname<<"_"<<parameters_[i]->definitions().binVar(ii)<<x[ii];
00162       result = (TF1*)parameterFncs_[i]->Clone();
00163       result->SetName(ssname.str().c_str());
00164       int N = parameters_[i]->definitions().nParVar();
00165       int bin = parameters_[i]->binIndex(x);
00166       assert(bin>=0);
00167       assert(bin<(int)parameters_[i]->size());
00168       const std::vector<float>& pars = parameters_[i]->record(bin).parameters();
00169       for (unsigned ii=2*N;ii<pars.size();ii++) result->SetParameter(ii-2*N,pars[ii]); 
00170     }
00171   }
00172   
00173   if (0==result) cerr<<"JetResolution::parameter() ERROR: no parameter "
00174                      <<parameterName<<" found."<<endl;
00175   
00176   return result;
00177 }
00178 
00179 
00181 // IMPLEMENTATION OF GLOBAL FUNCTIONS
00183 
00184 //______________________________________________________________________________
00185 double fnc_dscb(double*xx,double*pp)
00186 {
00187   double x   = xx[0];
00188   double N   = pp[0];
00189   double mu  = pp[1];
00190   double sig = pp[2];
00191   double a1  = pp[3];
00192   double p1  = pp[4];
00193   double a2  = pp[5];
00194   double p2  = pp[6];
00195   
00196   double u   = (x-mu)/sig;
00197   double A1  = TMath::Power(p1/TMath::Abs(a1),p1)*TMath::Exp(-a1*a1/2);
00198   double A2  = TMath::Power(p2/TMath::Abs(a2),p2)*TMath::Exp(-a2*a2/2);
00199   double B1  = p1/TMath::Abs(a1) - TMath::Abs(a1);
00200   double B2  = p2/TMath::Abs(a2) - TMath::Abs(a2);
00201 
00202   double result(N);
00203   if      (u<-a1) result *= A1*TMath::Power(B1-u,-p1);
00204   else if (u<a2)  result *= TMath::Exp(-u*u/2);
00205   else            result *= A2*TMath::Power(B2+u,-p2);
00206   return result;
00207 }
00208 
00209 
00210 //______________________________________________________________________________
00211 double fnc_gaussalpha(double *v, double *par)
00212 {
00213     double N    =par[0];
00214     double mean =par[1];
00215     double sigma=par[2];
00216     double alpha=par[3];
00217     double t    =TMath::Abs((v[0]-mean)/sigma);
00218     double cut  = 1.0;
00219     return (t<=cut) ? N*TMath::Exp(-0.5*t*t) : N*TMath::Exp(-0.5*(alpha*(t-cut)+cut*cut));
00220 }
00221 
00222 
00223 //______________________________________________________________________________
00224 double fnc_gaussalpha1alpha2(double *v, double *par)
00225 {
00226     double N     =par[0];
00227     double mean  =par[1];
00228     double sigma =par[2];
00229     double alpha1=par[3];
00230     double alpha2=par[4];
00231     double t     =TMath::Abs((v[0]-mean)/sigma);
00232     double cut = 1.0;
00233     return
00234       (t<=cut) ? N*TMath::Exp(-0.5*t*t) :
00235       ((v[0]-mean)>=0) ? N*TMath::Exp(-0.5*(alpha1*(t-cut)+cut*cut)) :
00236       N*TMath::Exp(-0.5*(alpha2*(t-cut)+cut*cut));
00237 }
00238