PairAnalysisSignalExt.h

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#ifndef PAIRANALYSISSIGNALEXT_H
#define PAIRANALYSISSIGNALEXT_H
 
//#############################################################
//#                                                           #
//#         Class PairAnalysisSignalExt                       #
//#  Authors:                                                 #
//#   Julian    Book,     Uni Ffm / Julian.Book@cern.ch       #
//#                                                           #
//#############################################################
 
 
#include <TF1.h>
#include <TH1F.h>
#include <TMath.h>
#include <TNamed.h>
#include <TVectorD.h>
 
#include "PairAnalysis.h"
#include "PairAnalysisFunction.h"
 
class TObjArray;
class TPaveText;
 
class PairAnalysisSignalExt : public PairAnalysisFunction {
 
public:
  enum EBackgroundMethod {
    kFittedMC = 0,
    kFitted,
    kLikeSign,
    kLikeSignArithm,
    kLikeSignRcorr,
    kLikeSignArithmRcorr,
    kLikeSignFit,
    kEventMixing,
    kEventMixingFit,
    kRotation,
    kCocktail
  };
 
  enum ESignalExtractionMethod {
    kBinCounting = 0,
    kMCScaledMax,
    kMCScaledInt,
    kMCFitted,
    kCrystalBall,
    kGaus,
    kUserFunc
  };
 
  enum EScalingMethod { kSclToRaw = 0, kSclToLikeSign };
 
  PairAnalysisSignalExt();
  PairAnalysisSignalExt(const char* name, const char* title);
 
  ~PairAnalysisSignalExt();
 
  // signal
 
  void SetMCSignalShape(TH1F* hist) {
    fgHistSimPM   = hist;
    fHistSignalMC = hist;
  }
  void SetIntegralRange(Double_t min, Double_t max) {
    fIntMin = min;
    fIntMax = max;
  }
  void SetPlotRange(Double_t min, Double_t max) {
    fPlotMin = min;
    fPlotMax = max;
  }
  void SetRebin(Int_t factor) { fRebin = factor; }
  void SetStatRebin(Double_t stat) { fRebinStat = stat; }
  void SetRebin(TArrayD* limits) { fBinLimits = limits; }
  void SetRebin(TVectorD* limits) {
    fBinLimits = new TArrayD(limits->GetNrows() - 1, limits->GetMatrixArray());
  }
  void SetExtractionMethod(ESignalExtractionMethod method,
                           PairAnalysisFunction* sigF = 0x0) {
    fPeakMethod = method;
    fExtrFunc   = sigF;
  }
  void SetMixingCorrection(Bool_t mixcorr = kTRUE) { fMixingCorr = mixcorr; }
 
  // background
 
  void SetMethod(EBackgroundMethod method) { fMethod = method; }
  void SetNTrackRotations(Int_t iterations) { fNiterTR = iterations; }
  void SetScaleBackgroundTo(EScalingMethod method,
                            Double_t intMin,
                            Double_t intMax,
                            Double_t intMin2 = 0.,
                            Double_t intMax2 = 0.) {
    fSclMethod = method;
    fScaleMin  = intMin;
    fScaleMax  = intMax;
    fScaleMin2 = intMin2;
    fScaleMax2 = intMax2;
  }
  void SetCocktailContribution(TObjArray* arr, Bool_t subtract = kTRUE) {
    fArrCocktail   = arr;
    fCocktailSubtr = subtract;
  }
 
  // Getter
 
  Bool_t IsCocktailSubtracted() const { return fCocktailSubtr; }
  Double_t GetIntegralMin() const { return fIntMin; }
  Double_t GetIntegralMax() const { return fIntMax; }
  Int_t GetRebin() const { return fRebin; }
  TArrayD* GetRebinLimits() const { return fBinLimits; }
  ESignalExtractionMethod GetExtractionMethod() const { return fPeakMethod; }
  EBackgroundMethod GetMethod() const { return fMethod; }
  Double_t GetScaleMin() const { return fScaleMin; }
  Double_t GetScaleMax() const { return fScaleMax; }
  Double_t GetScaleMin2() const { return fScaleMin2; }
  Double_t GetScaleMax2() const { return fScaleMax2; }
 
  // values of results
 
  Double_t GetScaleFactor() const { return fScaleFactor; }
  const TVectorD& GetValues() const { return fValues; }
  const TVectorD& GetErrors() const { return fErrors; }
  Double_t GetSignal() const { return fValues(0); }
  Double_t GetSignalError() const { return fErrors(0); }
  Double_t GetBackground() const { return fValues(1); }
  Double_t GetBackgroundError() const { return fErrors(1); }
  Double_t GetSignificance() const { return fValues(2); }
  Double_t GetSignificanceError() const { return fErrors(2); }
  Double_t GetSB() const { return fValues(3); }
  Double_t GetSBError() const { return fErrors(3); }
  Double_t GetMass() const { return fValues(4); }
  Double_t GetMassError() const { return fErrors(4); }
  Double_t GetMassWidth() const { return fValues(5); }
  Double_t GetMassWidthError() const { return fErrors(5); }
  Double_t GetMatchChi2NDF() const { return fValues(6); }
  Double_t GetMatchChi2NDFError() const { return fErrors(6); }
  static const char* GetValueName(Int_t i) {
    return (i >= 0 && i < 7) ? fgkValueNames[i] : "";
  }
 
  // objects
 
  TH1* GetMCSignalShape() const { return fHistSignalMC; }
  TH1* GetSignalHistogram() const { return fHistSignal; }
  TH1* GetSoverBHistogram() const { return fHistSB; }
  TH1* GetSignificanceHistogram() const { return fHistSgn; }
  TH1* GetBackgroundHistogram() const { return fHistBackground; }
  TH1* GetUnlikeSignHistogram() const { return fHistDataPM; }
  TH1* GetCocktailHistogram() const { return fHistCocktail; }
  TH1* GetRfactorHistogram() const { return fHistRfactor; }
  TObject* GetPeakShape() const { return fgPeakShape; }
 
 
  TObject* DescribePeakShape(ESignalExtractionMethod method = kMCFitted,
                             Bool_t replaceValErr           = kFALSE,
                             TH1F* mcShape                  = 0x0);
  TPaveText* DrawStats(Double_t x1 = 0.,
                       Double_t y1 = 0.,
                       Double_t x2 = 0.,
                       Double_t y2 = 0.,
                       TString opt = "pRnbsSmrc");
  Double_t ScaleHistograms(TH1* histRaw,
                           TH1* histBackground,
                           Double_t intMin,
                           Double_t intMax);
  Double_t ScaleHistograms(TH1* histRaw,
                           TH1* histBackground,
                           Double_t intMin,
                           Double_t intMax,
                           Double_t intMin2,
                           Double_t intMax2);
 
  static TH1* MergeObjects(TH1* obj1, TH1* obj2, Double_t val = +1.);
  void Print(Option_t* option = "") const;
 
  //virtual void Process(TObjArray * const /*arrhist*/) = 0;
  void Process(TObjArray* const arrhist);
  void ProcessLS();        // like-sign method
  void ProcessEM();        // event mixing method
  void ProcessTR();        // track rotation method
  void ProcessCocktail();  // cocktail method
 
  void Draw(const Option_t* option = "");
 
  TObject* FindObject(TObjArray* arrhist, PairAnalysis::EPairType type) const;
  TObject* FindObjectByTitle(TObjArray* arrhist, TString ref);
 
  // implemented to remove warnings
  TObject* FindObject(const char*) const {
    TObject* bla = new TObject();
    return bla;
  }
  TObject* FindObject(const TObject*) const {
    TObject* bla = new TObject();
    return bla;
  }
 
protected:
  TObjArray* fArrHists    = NULL;  // array of input histograms
  TObjArray* fArrCocktail = NULL;  // array of cocktail histograms
  TH1* fHistSignal        = NULL;  // histogram of pure signal
  TH1* fHistSB            = NULL;  // histogram of signal to bgrd
  TH1* fHistSgn           = NULL;  // histogram of significance
  TH1* fHistBackground =
    NULL;  // histogram of background (fitted=0, like-sign=1, event mixing=2)
  TH1* fHistCocktail = NULL;  // histogram of cocktail
  TH1* fHistDataPM   = NULL;  // histogram of selected +- pair candidates
  TH1* fHistDataPP   = NULL;  // histogram of selected ++ pair candidates
  TH1* fHistDataMM   = NULL;  // histogram of selected -- pair candidates
  TH1* fHistDataME =
    NULL;  // histogram of selected +- pair candidates from mixed event
  TH1* fHistRfactor  = NULL;  // histogram of R factors
  TH1* fHistSignalMC = NULL;  // histogram of signal MC shape
 
  TH1* fHistMixPM  = NULL;  // histogram of selected +- pair candidates
  TH1* fHistMixPP  = NULL;  // histogram of selected ++ pair candidates
  TH1* fHistMixMM  = NULL;  // histogram of selected -- pair candidates
  TH1* fHistMixMP  = NULL;  // histogram of selected +- pair candidates
  TH1* fHistDataTR = NULL;  // histogram of selected +- pair candidates
 
  TVectorD fValues;  // values
  TVectorD fErrors;  // value errors
 
  Double_t fIntMin  = 0.;  // signal extraction range min
  Double_t fIntMax  = 0.;  // signal extraction range max
  Double_t fPlotMin = 0.;  // plot range lowest inv. mass
  Double_t fPlotMax = 0.;  // plot range highest inv. mass
 
  Int_t fRebin        = 1;     // histogram rebin factor
  Double_t fRebinStat = 1.;    // rebin until bins have max. stat. error
  TArrayD* fBinLimits = NULL;  // bin limits from stat. rebinning
 
  void ScaleBackground();
  EBackgroundMethod fMethod = kLikeSign;  // method for background substraction
  EScalingMethod fSclMethod = kSclToRaw;  // method for background normalization
  Double_t fScaleMin        = 0.;         // min for scaling
  Double_t fScaleMax        = 0.;         // max for scaling
  Double_t fScaleMin2       = 0.;         // min2 for scaling
  Double_t fScaleMax2       = 0.;         // max2 for scaling
  Int_t fNiterTR =
    1;  // track rotation scale factor according to number of rotations
  Double_t fScaleFactor = 1.;  // scale factor of histogram scaling
  Bool_t fMixingCorr =
    kFALSE;  // switch for bin by bin correction with R factor
  Bool_t fCocktailSubtr = kFALSE;  // switch for cocktail subtraction
 
  PairAnalysisFunction* fExtrFunc = NULL;  // signal extraction function
  ESignalExtractionMethod fPeakMethod =
    kBinCounting;  // method for peak description and signal extraction
  static TObject*
    fgPeakShape;  // histogram or function used to describe the extracted signal
  Bool_t fPeakIsTF1 = kFALSE;  // flag
 
  Bool_t fProcessed = kFALSE;  // flag
  static TH1F* fgHistSimPM;    // simulated peak shape
 
  void FillSignificance(TH1* hfill, TObject* signal, TH1* hbgrd);
  void SetSignificanceAndSOB();  // calculate the significance and S/B
  void SetFWHM();                // calculate the fwhm
 
  static const char* fgkValueNames[7];  //value names
  static const char*
    fgkBackgroundMethodNames[11];  // background estimator names
 
  PairAnalysisSignalExt(const PairAnalysisSignalExt& c);
  PairAnalysisSignalExt& operator=(const PairAnalysisSignalExt& c);
 
  ClassDef(PairAnalysisSignalExt, 3)  // Class for signal extraction
};
 
inline TObject*
PairAnalysisSignalExt::FindObject(TObjArray* arrhist,
                                  PairAnalysis::EPairType type) const {
  //
  // shortcut to find a certain pair type object in array
  //
 
  //  return ( arrhist->FindObject(Form("Pair.%s",PairAnalysis::PairClassName(type))) );
  TString ref = Form("Pair.%s", PairAnalysis::PairClassName(type));
  for (Int_t i = 0; i < arrhist->GetEntriesFast(); i++) {
    if (!ref.CompareTo(arrhist->UncheckedAt(i)->GetTitle()))
      return arrhist->UncheckedAt(i);
  }
  return 0x0;
}
 
inline TObject* PairAnalysisSignalExt::FindObjectByTitle(TObjArray* arrhist,
                                                         TString ref) {
  //
  // shortcut to find a certain pair type object in array
  //
  if (!arrhist) return 0x0;
  //  return ( arrhist->FindObject(Form("Pair.%s",PairAnalysis::PairClassName(type))) );
  //  TString ref=Form("Pair.%s",PairAnalysis::PairClassName(type));
  for (Int_t i = 0; i < arrhist->GetEntriesFast(); i++) {
    if (!ref.CompareTo(arrhist->UncheckedAt(i)->GetTitle())) {
      return arrhist->UncheckedAt(i);
    }
  }
  return 0x0;
}
 
inline void PairAnalysisSignalExt::SetSignificanceAndSOB() {
  //
  // Calculate S/B and significance
  //
 
  // Signal/Background
  fValues(3)      = (fValues(1) > 0 ? fValues(0) / fValues(1) : 0);
  Float_t epsSig  = (fValues(0) > 0 ? fErrors(0) / fValues(0) : 0);
  Float_t epsBknd = (fValues(1) > 0 ? fErrors(1) / fValues(1) : 0);
  fErrors(3) = fValues(3) * TMath::Sqrt(epsSig * epsSig + epsBknd * epsBknd);
  // Significance
  fValues(2) = ((fValues(0) + fValues(1)) > 0
                  ? fValues(0) / TMath::Sqrt(fValues(0) + fValues(1))
                  : 0);
  Float_t s  = (fValues(0) > 0 ? fValues(0) : 0);
  Float_t b  = fValues(1);
  Float_t se = fErrors(0);
  Float_t be = fErrors(1);
  // fErrors(2) = ((s+b)>0 ? TMath::Sqrt((s*(s+2*b)*(s+2*b)+b*s*s)/(4*TMath::Power(s+b,3))) : 0); // old implementation
  fErrors(2) =
    ((s + b) > 0
       ? fValues(2)
           * TMath::Sqrt(be * be + TMath::Power(se * (s + 2 * b) / s, 2)) / 2
           / (s + b)
       : 0);
}
 
inline void PairAnalysisSignalExt::SetFWHM() {
  //
  // calculate the full width at half maximum (fwhm)
  //
 
  if (!fgPeakShape) return;
 
  // case for TF1
  if (fgPeakShape->IsA() == TF1::Class()) {
    TF1* fit  = (TF1*) fgPeakShape->Clone("fit");
    TF1* pfit = (TF1*) fit->Clone("pfit");
    TF1* mfit = (TF1*) fit->Clone("mfit");
    for (Int_t i = 0; i < fit->GetNpar(); i++) {
      pfit->SetParameter(i, fit->GetParameter(i) + fit->GetParError(i));
      mfit->SetParameter(i, fit->GetParameter(i) - fit->GetParError(i));
    }
    Double_t maxX   = fit->GetMaximumX();
    Double_t maxY   = fit->GetHistogram()->GetMaximum();
    Double_t xAxMin = fit->GetXmin();
    Double_t xAxMax = fit->GetXmax();
    // fwhms
    Double_t fwhmMin  = fit->GetX(.5 * maxY, xAxMin, maxX);
    Double_t fwhmMax  = fit->GetX(.5 * maxY, maxX, xAxMax);
    Double_t pfwhmMin = pfit->GetX(.5 * maxY, xAxMin, maxX);
    Double_t pfwhmMax = pfit->GetX(.5 * maxY, maxX, xAxMax);
    Double_t mfwhmMin = mfit->GetX(.5 * maxY, xAxMin, maxX);
    Double_t mfwhmMax = mfit->GetX(.5 * maxY, maxX, xAxMax);
    Double_t pError   = TMath::Abs((fwhmMax - fwhmMin) - (pfwhmMax - pfwhmMin));
    Double_t mError   = TMath::Abs((fwhmMax - fwhmMin) - (mfwhmMax - mfwhmMin));
    fValues(5)        = (fwhmMax - fwhmMin);
    fErrors(5)        = (pError >= mError ? pError : mError);
    delete fit;
    delete pfit;
    delete mfit;
  } else if (fgPeakShape->IsA() == TH1F::Class()) {
    // th1 calculation
    TH1F* hist = (TH1F*) fgPeakShape->Clone("hist");
    Int_t bin1 = hist->FindFirstBinAbove(hist->GetMaximum() / 2);
    Int_t bin2 = hist->FindLastBinAbove(hist->GetMaximum() / 2);
    fValues(5) = hist->GetBinCenter(bin2) - hist->GetBinCenter(bin1);
    fErrors(5) = 0.0;  // not defined
    delete hist;
  }
}
 
inline void PairAnalysisSignalExt::FillSignificance(TH1* hfill,
                                                    TObject* signal,
                                                    TH1* hbgrd) {
 
 
  /* hfill->Reset("CEIS"); */
  hfill->SetYTitle(GetValueName(2));
 
  Double_t s  = 0.;
  Double_t b  = 0.;
  Double_t se = 0.;
  Double_t be = 0.;
  for (Int_t i = 1; i <= hfill->GetNbinsX(); i++) {
 
    if (signal->IsA() == TF1::Class())
      s = static_cast<TF1*>(signal)->Eval(hfill->GetBinCenter(i));
    else {
      s  = static_cast<TH1*>(signal)->GetBinContent(i);
      se = static_cast<TH1*>(signal)->GetBinError(i);
    }
 
    b  = hbgrd->GetBinContent(i);
    be = hbgrd->GetBinError(i);
 
    Double_t sgn = ((s + b) > 0. ? s / TMath::Sqrt(s + b) : 0.);
    //    printf("s %.3e b %.3e \t s/b: %.3e sgn %.3e \n",s,b,s/b,sgn);
    hfill->SetBinContent(i, sgn);
    hfill->SetBinError(
      i,
      ((s + b) > 0.
         ? sgn * TMath::Sqrt(be * be + TMath::Power(se * (s + 2 * b) / s, 2))
             / 2 / (s + b)
         : 0));
  }
}
 
 
#endif