#include <TF1.h>
#include <TH1.h>
#include <TGraph.h>
#include <TMath.h>
#include <TString.h>
#include <TPaveText.h>
#include <TList.h>
#include <TFitResult.h>
#include <AliLog.h>
#include "AliDielectronSignalFunc.h"
ClassImp(AliDielectronSignalFunc)
TF1* AliDielectronSignalFunc::fFuncSignal=0x0;
TF1* AliDielectronSignalFunc::fFuncBackground=0x0;
Int_t AliDielectronSignalFunc::fNparPeak=0;
Int_t AliDielectronSignalFunc::fNparBgnd=0;
AliDielectronSignalFunc::AliDielectronSignalFunc() :
AliDielectronSignalExt(),
fFuncSigBack(0x0),
fParMass(1),
fParMassWidth(2),
fFitOpt("SMNQE"),
fUseIntegral(kFALSE),
fDof(0),
fChi2Dof(0.0)
{
}
AliDielectronSignalFunc::AliDielectronSignalFunc(const char* name, const char* title) :
AliDielectronSignalExt(name, title),
fFuncSigBack(0x0),
fParMass(1),
fParMassWidth(2),
fFitOpt("SMNQE"),
fUseIntegral(kFALSE),
fDof(0),
fChi2Dof(0.0)
{
}
AliDielectronSignalFunc::~AliDielectronSignalFunc()
{
if(fFuncSigBack) delete fFuncSigBack;
}
void AliDielectronSignalFunc::Process(TObjArray * const arrhist)
{
switch(fMethod) {
case kFitted :
ProcessFit(arrhist);
break;
case kLikeSignFit :
ProcessFitLS(arrhist);
break;
case kEventMixingFit :
ProcessFitEM(arrhist);
break;
case kLikeSign :
case kLikeSignArithm :
case kLikeSignRcorr:
case kLikeSignArithmRcorr:
ProcessLS(arrhist);
break;
case kEventMixing :
ProcessEM(arrhist);
break;
case kRotation:
ProcessRotation(arrhist);
break;
default :
AliError("Background substraction method not known!");
}
}
Double_t AliDielectronSignalFunc::PeakFunMC(const Double_t *x, const Double_t *par) {
Double_t xx = x[0];
TH1F *hPeak = fgHistSimPM;
if (!hPeak) {
printf("E-AliDielectronSignalFunc::PeakFun: No histogram for peak fit defined!\n");
return 0.0;
}
Int_t idx = hPeak->FindBin(xx);
if ((idx <= 1) ||
(idx >= hPeak->GetNbinsX())) {
return 0.0;
}
return (par[0] * hPeak->GetBinContent(idx));
}
Double_t AliDielectronSignalFunc::PeakFunCB(const Double_t *x, const Double_t *par) {
Double_t alpha = par[0];
Double_t n = par[1];
Double_t meanx = par[2];
Double_t sigma = par[3];
Double_t nn = par[4];
Double_t a = TMath::Power((n/TMath::Abs(alpha)), n) * TMath::Exp(-.5*alpha*alpha);
Double_t b = n/TMath::Abs(alpha) - TMath::Abs(alpha);
Double_t arg = (x[0] - meanx)/sigma;
Double_t fitval = 0;
if (arg > -1.*alpha) {
fitval = nn * TMath::Exp(-.5*arg*arg);
} else {
fitval = nn * a * TMath::Power((b-arg), (-1*n));
}
return fitval;
}
Double_t AliDielectronSignalFunc::PeakFunGaus(const Double_t *x, const Double_t *par) {
Double_t n = par[0];
Double_t mean = par[1];
Double_t sigma = par[2];
Double_t xx = x[0];
return ( n*TMath::Exp(-0.5*TMath::Power((xx-mean)/sigma,2)) );
}
void AliDielectronSignalFunc::ProcessFit(TObjArray * const arrhist) {
fHistDataPM = (TH1F*)(arrhist->At(1))->Clone("histPM");
fHistDataPM->Sumw2();
if(fRebin>1)
fHistDataPM->Rebin(fRebin);
fHistSignal = new TH1F("HistSignal", "Fit substracted signal",
fHistDataPM->GetXaxis()->GetNbins(),
fHistDataPM->GetXaxis()->GetXmin(), fHistDataPM->GetXaxis()->GetXmax());
fHistBackground = new TH1F("HistBackground", "Fit contribution",
fHistDataPM->GetXaxis()->GetNbins(),
fHistDataPM->GetXaxis()->GetXmin(), fHistDataPM->GetXaxis()->GetXmax());
fHistDataPM->Fit(fFuncSigBack, fFitOpt.Data(), "", fFitMin, fFitMax);
TFitResultPtr pmFitPtr = fHistDataPM->Fit(fFuncSigBack, fFitOpt.Data(), "", fFitMin, fFitMax);
fFuncSignal->SetParameters(fFuncSigBack->GetParameters());
fFuncBackground->SetParameters(fFuncSigBack->GetParameters()+fFuncSignal->GetNpar());
fHistBackground->Eval(fFuncBackground);
fHistBackground->Fit(fFuncBackground,"0qR","",fFitMin,fFitMax);
Double_t inte = fFuncBackground->IntegralError(fIntMin, fIntMax)/fHistDataPM->GetBinWidth(1);
Double_t binte = inte / TMath::Sqrt((fHistDataPM->FindBin(fIntMax)-fHistDataPM->FindBin(fIntMin))+1);
for(Int_t iBin=fHistDataPM->FindBin(fIntMin); iBin<=fHistDataPM->FindBin(fIntMax); iBin++) {
fHistBackground->SetBinError(iBin, binte);
}
for(Int_t iBin=1; iBin<=fHistDataPM->GetXaxis()->GetNbins(); iBin++) {
Double_t pm = fHistDataPM->GetBinContent(iBin);
Double_t epm = fHistDataPM->GetBinError(iBin);
Double_t bknd = fHistBackground->GetBinContent(iBin);
Double_t ebknd = fHistBackground->GetBinError(iBin);
for(Int_t iPar=fFuncSignal->GetNpar(); iPar<fFuncSigBack->GetNpar(); iPar++) {
}
Double_t signal = pm-bknd;
Double_t error = TMath::Sqrt(epm*epm+ebknd);
fHistSignal->SetBinContent(iBin, signal);
fHistSignal->SetBinError(iBin, error);
}
if(fUseIntegral) {
fValues(0) = fFuncSignal->Integral(fIntMin, fIntMax)/fHistDataPM->GetBinWidth(1);
fErrors(0) = 0;
for(Int_t iPar=0; iPar<fFuncSignal->GetNpar(); iPar++) {
}
fValues(1) = fFuncBackground->Integral(fIntMin, fIntMax)/fHistDataPM->GetBinWidth(1);
fErrors(1) = fFuncBackground->IntegralError(fIntMin, fIntMax)/fHistDataPM->GetBinWidth(1);
for(Int_t iPar=fFuncSignal->GetNpar(); iPar<fFuncSigBack->GetNpar(); iPar++) {
}
}
else {
fValues(0) = fHistSignal->IntegralAndError(fHistSignal->FindBin(fIntMin),
fHistSignal->FindBin(fIntMax), fErrors(0));
fValues(1) = fHistBackground->IntegralAndError(fHistBackground->FindBin(fIntMin),
fHistBackground->FindBin(fIntMax),
fErrors(1));
}
SetSignificanceAndSOB();
fValues(4) = fFuncSigBack->GetParameter(fParMass);
fErrors(4) = fFuncSigBack->GetParError(fParMass);
fValues(5) = fFuncSigBack->GetParameter(fParMassWidth);
fErrors(5) = fFuncSigBack->GetParError(fParMassWidth);
fProcessed = kTRUE;
fHistBackground->GetListOfFunctions()->Add(fFuncBackground);
}
void AliDielectronSignalFunc::ProcessFitLS(TObjArray * const arrhist) {
fHistDataPP = (TH1F*)(arrhist->At(0))->Clone("histPP");
fHistDataPM = (TH1F*)(arrhist->At(1))->Clone("histPM");
fHistDataMM = (TH1F*)(arrhist->At(2))->Clone("histMM");
if (fRebin>1) {
fHistDataPP->Rebin(fRebin);
fHistDataPM->Rebin(fRebin);
fHistDataMM->Rebin(fRebin);
}
fHistDataPP->Sumw2();
fHistDataPM->Sumw2();
fHistDataMM->Sumw2();
fHistSignal = new TH1F("HistSignal", "Like-Sign substracted signal",
fHistDataPM->GetXaxis()->GetNbins(),
fHistDataPM->GetXaxis()->GetXmin(), fHistDataPM->GetXaxis()->GetXmax());
fHistBackground = new TH1F("HistBackground", "Like-sign contribution",
fHistDataPM->GetXaxis()->GetNbins(),
fHistDataPM->GetXaxis()->GetXmin(), fHistDataPM->GetXaxis()->GetXmax());
fHistDataPM->Fit(fFuncSigBack, fFitOpt.Data(), "", fFitMin, fFitMax);
fHistDataPM->Fit(fFuncSigBack, fFitOpt.Data(), "", fFitMin, fFitMax);
TF1 *funcClonePP = (TF1*)fFuncBackground->Clone("funcClonePP");
TF1 *funcCloneMM = (TF1*)fFuncBackground->Clone("funcCloneMM");
fHistDataPP->Fit(funcClonePP, fFitOpt.Data(), "", fFitMin, fFitMax);
fHistDataPP->Fit(funcClonePP, fFitOpt.Data(), "", fFitMin, fFitMax);
fHistDataMM->Fit(funcCloneMM, fFitOpt.Data(), "", fFitMin, fFitMax);
fHistDataMM->Fit(funcCloneMM, fFitOpt.Data(), "", fFitMin, fFitMax);
for(Int_t iBin=1; iBin<=fHistDataPM->GetXaxis()->GetNbins(); iBin++) {
Double_t m = fHistDataPM->GetBinCenter(iBin);
Double_t pm = fHistDataPM->GetBinContent(iBin);
Double_t pp = funcClonePP->Eval(m);
Double_t mm = funcCloneMM->Eval(m);
Double_t epm = fHistDataPM->GetBinError(iBin);
Double_t epp = 0;
for(Int_t iPar=0; iPar<funcClonePP->GetNpar(); iPar++) {
}
Double_t emm = 0;
for(Int_t iPar=0; iPar<funcCloneMM->GetNpar(); iPar++) {
}
Double_t signal = pm-2.0*TMath::Sqrt(pp*mm);
Double_t background = 2.0*TMath::Sqrt(pp*mm);
Double_t esignal = TMath::Sqrt(epm*epm+(mm/pp)*epp+(pp/mm)*emm);
Double_t ebackground = TMath::Sqrt((mm/pp)*epp+(pp/mm)*emm);
fHistSignal->SetBinContent(iBin, signal);
fHistSignal->SetBinError(iBin, esignal);
fHistBackground->SetBinContent(iBin, background);
fHistBackground->SetBinError(iBin, ebackground);
}
fValues(0) = fHistSignal->IntegralAndError(fHistSignal->FindBin(fIntMin),
fHistSignal->FindBin(fIntMax), fErrors(0));
fValues(1) = fHistBackground->IntegralAndError(fHistBackground->FindBin(fIntMin),
fHistBackground->FindBin(fIntMax),
fErrors(1));
SetSignificanceAndSOB();
fValues(4) = fFuncSigBack->GetParameter(fParMass);
fErrors(4) = fFuncSigBack->GetParError(fParMass);
fValues(5) = fFuncSigBack->GetParameter(fParMassWidth);
fErrors(5) = fFuncSigBack->GetParError(fParMassWidth);
fProcessed = kTRUE;
}
void AliDielectronSignalFunc::ProcessFitEM(TObjArray * const arrhist) {
arrhist->GetEntries();
AliError("Event mixing for background substraction method not implemented!");
}
void AliDielectronSignalFunc::SetFunctions(TF1 * const combined, TF1 * const sig, TF1 * const back,
Int_t parM, Int_t parMres)
{
if (!sig||!back||!combined) {
AliError("Both, signal and background function need to be set!");
return;
}
fFuncSignal=sig;
fFuncBackground=back;
fFuncSigBack=combined;
fParMass=parM;
fParMassWidth=parMres;
}
void AliDielectronSignalFunc::SetDefaults(Int_t type)
{
if (type==0){
fFuncSignal=new TF1("DieleSignal","gaus",2.5,4);
fFuncBackground=new TF1("DieleBackground","pol1",2.5,4);
fFuncSigBack=new TF1("DieleCombined","gaus+pol1(3)",2.5,4);
fFuncSigBack->SetParameters(1,3.1,.05,2.5,1);
fFuncSigBack->SetParLimits(0,0,10000000);
fFuncSigBack->SetParLimits(1,3.05,3.15);
fFuncSigBack->SetParLimits(2,.02,.1);
}
else if (type==1){
fFuncSignal=new TF1("DieleSignal","gaus",2.5,4);
fFuncBackground=new TF1("DieleBackground","[0]*exp(-(x-[1])/[2])",2.5,4);
fFuncSigBack=new TF1("DieleCombined","gaus+[3]*exp(-(x-[4])/[5])",2.5,4);
fFuncSigBack->SetParameters(1,3.1,.05,1,2.5,1);
fFuncSigBack->SetParLimits(0,0,10000000);
fFuncSigBack->SetParLimits(1,3.05,3.15);
fFuncSigBack->SetParLimits(2,.02,.1);
}
else if (type==2){
fFuncSignal = new TF1("DieleSignal","(x<[1])*([0]*(exp(-0.5*((x-[1])/[2])^2)+exp((x-[1])/[3])*(1-exp(-0.5*((x-[1])/[2])^2))))+(x>=[1])*([0]*exp(-0.5*((x-[1])/[2])^2))",2.5,4);
fFuncBackground = new TF1("DieleBackground","[0]*exp(-(x-[1])/[2])+[3]",2.5,4);
fFuncSigBack = new TF1("DieleCombined","(x<[1])*([0]*(exp(-0.5*((x-[1])/[2])^2)+exp((x-[1])/[3])*(1-exp(-0.5*((x-[1])/[2])^2))))+(x>=[1])*([0]*exp(-0.5*((x-[1])/[2])^2))+[4]*exp(-(x-[5])/[6])+[7]",2.5,4);
fFuncSigBack->SetParameters(1.,3.1,.05,.1,1,2.5,1,0);
fFuncSigBack->SetParLimits(0,0,10000000);
fFuncSigBack->SetParLimits(1,3.05,3.15);
fFuncSigBack->SetParLimits(2,.02,.1);
fFuncSigBack->FixParameter(6,2.5);
fFuncSigBack->FixParameter(7,0);
}
}
void AliDielectronSignalFunc::Draw(const Option_t* option)
{
TString drawOpt(option);
drawOpt.ToLower();
Bool_t optStat=drawOpt.Contains("stat");
fFuncSigBack->SetNpx(200);
fFuncSigBack->SetRange(fIntMin,fIntMax);
fFuncBackground->SetNpx(200);
fFuncBackground->SetRange(fIntMin,fIntMax);
TGraph *grSig=new TGraph(fFuncSigBack);
grSig->SetFillColor(kGreen);
grSig->SetFillStyle(3001);
TGraph *grBack=new TGraph(fFuncBackground);
grBack->SetFillColor(kRed);
grBack->SetFillStyle(3001);
grSig->SetPoint(0,grBack->GetX()[0],grBack->GetY()[0]);
grSig->SetPoint(grSig->GetN()-1,grBack->GetX()[grBack->GetN()-1],grBack->GetY()[grBack->GetN()-1]);
grBack->SetPoint(0,grBack->GetX()[0],0.);
grBack->SetPoint(grBack->GetN()-1,grBack->GetX()[grBack->GetN()-1],0.);
fFuncSigBack->SetRange(fFitMin,fFitMax);
fFuncBackground->SetRange(fFitMin,fFitMax);
if (!drawOpt.Contains("same")){
if (fHistDataPM){
fHistDataPM->Draw();
grSig->Draw("f");
} else {
grSig->Draw("af");
}
} else {
grSig->Draw("f");
}
if(fMethod==kFitted || fMethod==kFittedMC) grBack->Draw("f");
fFuncSigBack->Draw("same");
fFuncSigBack->SetLineWidth(2);
if(fMethod==kLikeSign) {
fHistDataPP->SetLineWidth(2);
fHistDataPP->SetLineColor(6);
fHistDataPP->Draw("same");
fHistDataMM->SetLineWidth(2);
fHistDataMM->SetLineColor(8);
fHistDataMM->Draw("same");
}
if(fMethod==kFitted || fMethod==kFittedMC)
fFuncBackground->Draw("same");
if (optStat) DrawStats();
}
void AliDielectronSignalFunc::CombineFunc(TF1 * const peak, TF1 * const bgnd) {
if (!peak||!bgnd) {
AliError("Both, signal and background function need to be set!");
return;
}
fFuncSignal=peak;
fFuncBackground=bgnd;
fNparPeak = fFuncSignal->GetNpar();
fNparBgnd = fFuncBackground->GetNpar();
fFuncSigBack = new TF1("BgndPeak",AliDielectronSignalFunc::PeakBgndFun, fFitMin,fFitMax, fNparPeak+fNparBgnd);
return;
}
Double_t AliDielectronSignalFunc::PeakBgndFun(const Double_t *x, const Double_t *par) {
return (fFuncSignal->EvalPar(x,par) + fFuncBackground->EvalPar(x,par+fNparPeak));
}
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