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////////////////////////////////////////////////////////////////////////////////
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//
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// JetResolution
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// -------------
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//
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// 11/05/2010 Philipp Schieferdecker <philipp.schieferdecker@cern.ch>
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////////////////////////////////////////////////////////////////////////////////
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#include "CondFormats/JetMETObjects/interface/JetResolution.h"
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#include "CondFormats/JetMETObjects/interface/JetCorrectorParameters.h"
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#include <TMath.h>
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#include <iostream>
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#include <sstream>
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#include <cassert>
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using namespace std;
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////////////////////////////////////////////////////////////////////////////////
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// GLOBAL FUNCTION DEFINITIONS
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////////////////////////////////////////////////////////////////////////////////
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//______________________________________________________________________________
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double fnc_dscb(double*xx,double*pp);
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double fnc_gaussalpha(double*xx,double*pp);
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double fnc_gaussalpha1alpha2(double*xx,double*pp);
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////////////////////////////////////////////////////////////////////////////////
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// CONSTRUCTION / DESTRUCTION
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////////////////////////////////////////////////////////////////////////////////
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//______________________________________________________________________________
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JetResolution::JetResolution()
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: resolutionFnc_(0)
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{
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resolutionFnc_ = new TF1();
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}
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//______________________________________________________________________________
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JetResolution::JetResolution(const string& fileName,bool doGaussian)
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: resolutionFnc_(0)
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{
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initialize(fileName,doGaussian);
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}
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//______________________________________________________________________________
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JetResolution::~JetResolution()
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{
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delete resolutionFnc_;
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for (unsigned i=0;i<parameterFncs_.size();i++) delete parameterFncs_[i];
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for (unsigned i=0;i<parameters_.size();i++) delete parameters_[i];
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}
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////////////////////////////////////////////////////////////////////////////////
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// IMPLEMENTATION OF MEMBER FUNCTIONS
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////////////////////////////////////////////////////////////////////////////////
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//______________________________________________________________________________
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void JetResolution::initialize(const string& fileName,bool doGaussian)
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{
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size_t pos;
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name_ = fileName;
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pos = name_.find_last_of('.'); name_ = name_.substr(0,pos);
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pos = name_.find_last_of('/'); name_ = name_.substr(pos+1);
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JetCorrectorParameters resolutionPars(fileName,"resolution");
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string fncname = "fResolution_" + name_;
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string formula = resolutionPars.definitions().formula();
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if (doGaussian) resolutionFnc_=new TF1(fncname.c_str(),"gaus",0.,5.);
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else if (formula=="DSCB") resolutionFnc_=new TF1(fncname.c_str(),fnc_dscb,0.,5.,7);
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else if (formula=="GaussAlpha1Alpha2") resolutionFnc_=new TF1(fncname.c_str(),fnc_gaussalpha1alpha2,-5.,5.,5);
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else if (formula=="GaussAlpha") resolutionFnc_=new TF1(fncname.c_str(),fnc_gaussalpha,-5.,5.,4);
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else resolutionFnc_=new TF1(fncname.c_str(),formula.c_str(),0.,5.);
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resolutionFnc_->SetNpx(200);
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resolutionFnc_->SetParName(0,"N");
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resolutionFnc_->SetParameter(0,1.0);
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unsigned nPar(1);
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string tmp = resolutionPars.definitions().level();
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pos = tmp.find(':');
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while (!tmp.empty()) {
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string paramAsStr = tmp.substr(0,pos);
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if (!doGaussian||paramAsStr=="mean"||paramAsStr=="sigma") {
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parameters_.push_back(new JetCorrectorParameters(fileName,paramAsStr));
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formula = parameters_.back()->definitions().formula();
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parameterFncs_.push_back(new TF1(("f"+paramAsStr+"_"+name()).c_str(),formula.c_str(),
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parameters_.back()->record(0).parameters()[0],
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parameters_.back()->record(0).parameters()[1]));
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resolutionFnc_->SetParName(nPar,parameters_.back()->definitions().level().c_str());
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nPar++;
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}
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tmp = (pos==string::npos) ? "" : tmp.substr(pos+1);
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pos = tmp.find(':');
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}
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assert(nPar==(unsigned)resolutionFnc_->GetNpar());
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assert(!doGaussian||nPar==3);
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}
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//______________________________________________________________________________
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TF1* JetResolution::resolutionEtaPt(float eta, float pt) const
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{
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vector<float> x; x.push_back(eta);
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vector<float> y; y.push_back(pt);
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return resolution(x,y);
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}
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//______________________________________________________________________________
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TF1* JetResolution::resolution(const vector<float>& x,
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const vector<float>& y) const
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{
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unsigned N(y.size());
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for (unsigned iPar=0;iPar<parameters_.size();iPar++) {
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int bin = parameters_[iPar]->binIndex(x);
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assert(bin>=0);
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assert(bin<(int)parameters_[iPar]->size());
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const std::vector<float>& pars = parameters_[iPar]->record(bin).parameters();
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for (unsigned i=2*N;i<pars.size();i++)
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parameterFncs_[iPar]->SetParameter(i-2*N,pars[i]);
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float yy[4];
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for (unsigned i=0;i<N;i++)
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yy[i] = (y[i] < pars[2*i]) ? pars[2*i] : (y[i] > pars[2*i+1]) ? pars[2*i+1] : y[i];
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resolutionFnc_->SetParameter(iPar+1,
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parameterFncs_[iPar]->Eval(yy[0],yy[1],yy[2],yy[3]));
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}
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return resolutionFnc_;
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}
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//______________________________________________________________________________
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TF1* JetResolution::parameterEta(const string& parameterName, float eta)
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{
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vector<float> x; x.push_back(eta);
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return parameter(parameterName,x);
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}
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//______________________________________________________________________________
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TF1* JetResolution::parameter(const string& parameterName,const vector<float>& x)
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{
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TF1* result(0);
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for (unsigned i=0;i<parameterFncs_.size()&&result==0;i++) {
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string fncname = parameterFncs_[i]->GetName();
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if (fncname.find("f"+parameterName)==0) {
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stringstream ssname; ssname<<parameterFncs_[i]->GetName();
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for (unsigned ii=0;ii<x.size();ii++)
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ssname<<"_"<<parameters_[i]->definitions().binVar(ii)<<x[ii];
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result = (TF1*)parameterFncs_[i]->Clone();
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result->SetName(ssname.str().c_str());
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int N = parameters_[i]->definitions().nParVar();
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int bin = parameters_[i]->binIndex(x);
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assert(bin>=0);
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assert(bin<(int)parameters_[i]->size());
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const std::vector<float>& pars = parameters_[i]->record(bin).parameters();
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for (unsigned ii=2*N;ii<pars.size();ii++) result->SetParameter(ii-2*N,pars[ii]);
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}
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}
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if (0==result) cerr<<"JetResolution::parameter() ERROR: no parameter "
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<<parameterName<<" found."<<endl;
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return result;
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}
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////////////////////////////////////////////////////////////////////////////////
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// IMPLEMENTATION OF GLOBAL FUNCTIONS
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////////////////////////////////////////////////////////////////////////////////
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//______________________________________________________________________________
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double fnc_dscb(double*xx,double*pp)
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{
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double x = xx[0];
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double N = pp[0];
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double mu = pp[1];
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double sig = pp[2];
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double a1 = pp[3];
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double p1 = pp[4];
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double a2 = pp[5];
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double p2 = pp[6];
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double u = (x-mu)/sig;
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double A1 = TMath::Power(p1/TMath::Abs(a1),p1)*TMath::Exp(-a1*a1/2);
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double A2 = TMath::Power(p2/TMath::Abs(a2),p2)*TMath::Exp(-a2*a2/2);
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double B1 = p1/TMath::Abs(a1) - TMath::Abs(a1);
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double B2 = p2/TMath::Abs(a2) - TMath::Abs(a2);
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double result(N);
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if (u<-a1) result *= A1*TMath::Power(B1-u,-p1);
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else if (u<a2) result *= TMath::Exp(-u*u/2);
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else result *= A2*TMath::Power(B2+u,-p2);
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return result;
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}
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//______________________________________________________________________________
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double fnc_gaussalpha(double *v, double *par)
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{
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double N =par[0];
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double mean =par[1];
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double sigma=par[2];
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double alpha=par[3];
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double t =TMath::Abs((v[0]-mean)/sigma);
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double cut = 1.0;
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return (t<=cut) ? N*TMath::Exp(-0.5*t*t) : N*TMath::Exp(-0.5*(alpha*(t-cut)+cut*cut));
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}
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//______________________________________________________________________________
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double fnc_gaussalpha1alpha2(double *v, double *par)
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{
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double N =par[0];
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double mean =par[1];
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double sigma =par[2];
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double alpha1=par[3];
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double alpha2=par[4];
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double t =TMath::Abs((v[0]-mean)/sigma);
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double cut = 1.0;
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return
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(t<=cut) ? N*TMath::Exp(-0.5*t*t) :
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((v[0]-mean)>=0) ? N*TMath::Exp(-0.5*(alpha1*(t-cut)+cut*cut)) :
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N*TMath::Exp(-0.5*(alpha2*(t-cut)+cut*cut));
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}
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