| 1 | /* ======================================================================== *\ | 
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| 2 | ! | 
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| 3 | ! * | 
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| 4 | ! * This file is part of MARS, the MAGIC Analysis and Reconstruction | 
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| 5 | ! * Software. It is distributed to you in the hope that it can be a useful | 
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| 6 | ! * and timesaving tool in analysing Data of imaging Cerenkov telescopes. | 
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| 7 | ! * It is distributed WITHOUT ANY WARRANTY. | 
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| 8 | ! * | 
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| 9 | ! * Permission to use, copy, modify and distribute this software and its | 
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| 10 | ! * documentation for any purpose is hereby granted without fee, | 
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| 11 | ! * provided that the above copyright notice appear in all copies and | 
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| 12 | ! * that both that copyright notice and this permission notice appear | 
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| 13 | ! * in supporting documentation. It is provided "as is" without express | 
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| 14 | ! * or implied warranty. | 
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| 15 | ! * | 
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| 16 | ! | 
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| 17 | ! | 
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| 18 | !   Author(s): Thomas Bretz, 3/2004 <mailto:tbretz@astro.uni-wuerzburg.de> | 
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| 19 | ! | 
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| 20 | !   Copyright: MAGIC Software Development, 2000-2004 | 
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| 21 | ! | 
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| 22 | ! | 
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| 23 | \* ======================================================================== */ | 
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| 24 |  | 
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| 25 | ////////////////////////////////////////////////////////////////////////////// | 
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| 26 | // | 
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| 27 | // MAlphaFitter | 
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| 28 | // | 
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| 29 | // Create a single Alpha-Plot. The alpha-plot is fitted online. You can | 
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| 30 | // check the result when it is filles in the MStatusDisplay | 
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| 31 | // For more information see MHFalseSource::FitSignificance | 
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| 32 | // | 
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| 33 | // For convinience (fit) the output significance is stored in a | 
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| 34 | // container in the parlisrt | 
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| 35 | // | 
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| 36 | // Version 2: | 
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| 37 | // ---------- | 
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| 38 | //  + Double_t fSignificanceExc;  // significance of a known excess | 
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| 39 | // | 
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| 40 | // Version 3: | 
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| 41 | // ---------- | 
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| 42 | //  + TArrayD fErrors;  // errors of coefficients | 
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| 43 | // | 
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| 44 | // | 
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| 45 | ////////////////////////////////////////////////////////////////////////////// | 
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| 46 | #include "MAlphaFitter.h" | 
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| 47 |  | 
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| 48 | #include <TF1.h> | 
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| 49 | #include <TH1.h> | 
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| 50 | #include <TH3.h> | 
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| 51 |  | 
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| 52 | #include <TRandom.h> | 
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| 53 | #include <TFeldmanCousins.h> | 
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| 54 |  | 
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| 55 | #include <TLine.h> | 
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| 56 | #include <TLatex.h> | 
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| 57 | #include <TVirtualPad.h> | 
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| 58 |  | 
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| 59 | #include "MMath.h" | 
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| 60 |  | 
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| 61 | #include "MLogManip.h" | 
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| 62 |  | 
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| 63 | ClassImp(MAlphaFitter); | 
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| 64 |  | 
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| 65 | using namespace std; | 
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| 66 |  | 
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| 67 | void MAlphaFitter::Clear(Option_t *o) | 
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| 68 | { | 
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| 69 | fSignificance=0; | 
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| 70 | fSignificanceExc=0; | 
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| 71 | fEventsExcess=0; | 
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| 72 | fEventsSignal=0; | 
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| 73 | fEventsBackground=0; | 
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| 74 |  | 
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| 75 | fChiSqSignal=0; | 
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| 76 | fChiSqBg=0; | 
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| 77 | fIntegralMax=0; | 
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| 78 | fScaleFactor=1; | 
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| 79 |  | 
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| 80 | fCoefficients.Reset(); | 
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| 81 | fErrors.Reset(); | 
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| 82 | } | 
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| 83 |  | 
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| 84 | // -------------------------------------------------------------------------- | 
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| 85 | // | 
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| 86 | // This function implementes the fit to the off-data as used in Fit() | 
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| 87 | // | 
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| 88 | Bool_t MAlphaFitter::FitOff(TH1D &h, Int_t paint) | 
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| 89 | { | 
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| 90 | if (h.GetEntries()==0) | 
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| 91 | return kFALSE; | 
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| 92 |  | 
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| 93 | // First fit a polynom in the off region | 
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| 94 | fFunc->FixParameter(0, 0); | 
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| 95 | fFunc->FixParameter(1, 0); | 
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| 96 | fFunc->FixParameter(2, 1); | 
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| 97 | fFunc->ReleaseParameter(3); | 
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| 98 | if (fPolynomOrder!=1) | 
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| 99 | fFunc->FixParameter(4, 0); | 
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| 100 |  | 
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| 101 | for (int i=5; i<fFunc->GetNpar(); i++) | 
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| 102 | if (fFitBackground) | 
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| 103 | fFunc->ReleaseParameter(i); | 
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| 104 | else | 
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| 105 | fFunc->SetParameter(i, 0); | 
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| 106 |  | 
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| 107 | if (!fFitBackground) | 
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| 108 | return kTRUE; | 
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| 109 |  | 
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| 110 | if (fSignalFunc==kThetaSq) | 
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| 111 | { | 
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| 112 | const Double_t sum = h.Integral(1, 3)/3; | 
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| 113 | const Double_t a   = sum<=1 ? 0 : TMath::Log(sum); | 
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| 114 | const Double_t b   = -1.7; | 
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| 115 |  | 
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| 116 | // Do a best-guess | 
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| 117 | fFunc->SetParameter(3, a); | 
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| 118 | fFunc->SetParameter(4, b); | 
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| 119 | } | 
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| 120 |  | 
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| 121 | // options : N  do not store the function, do not draw | 
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| 122 | //           I  use integral of function in bin rather than value at bin center | 
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| 123 | //           R  use the range specified in the function range | 
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| 124 | //           Q  quiet mode | 
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| 125 | //           E  Perform better Errors estimation using Minos technique | 
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| 126 | h.Fit(fFunc, "NQI", "", fBgMin, fBgMax); | 
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| 127 | fChiSqBg = fFunc->GetChisquare()/fFunc->GetNDF(); | 
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| 128 |  | 
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| 129 | fCoefficients.Set(fFunc->GetNpar(), fFunc->GetParameters()); | 
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| 130 | fErrors.Set(fFunc->GetNpar()); | 
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| 131 | for (int i=3; i<fFunc->GetNpar(); i++) | 
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| 132 | fErrors[i] = fFunc->GetParError(i); | 
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| 133 |  | 
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| 134 | // ------------------------------------ | 
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| 135 |  | 
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| 136 | if (paint) | 
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| 137 | { | 
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| 138 | if (paint==2) | 
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| 139 | { | 
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| 140 | fFunc->SetLineColor(kBlack); | 
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| 141 | fFunc->SetLineWidth(1); | 
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| 142 | } | 
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| 143 | else | 
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| 144 | { | 
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| 145 | fFunc->SetRange(0, 90); | 
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| 146 | fFunc->SetLineColor(kRed); | 
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| 147 | fFunc->SetLineWidth(2); | 
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| 148 | } | 
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| 149 | fFunc->Paint("same"); | 
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| 150 | } | 
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| 151 |  | 
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| 152 | return kTRUE; | 
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| 153 | } | 
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| 154 |  | 
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| 155 | // -------------------------------------------------------------------------- | 
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| 156 | // | 
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| 157 | // Calculate the result of the fit and set the corresponding data members | 
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| 158 | // | 
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| 159 | void MAlphaFitter::FitResult(const TH1D &h) | 
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| 160 | { | 
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| 161 | const Double_t alphaw = h.GetXaxis()->GetBinWidth(1); | 
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| 162 |  | 
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| 163 | const Int_t bin = h.GetXaxis()->FindFixBin(fSigInt*0.999); | 
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| 164 |  | 
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| 165 | fIntegralMax      = h.GetBinLowEdge(bin+1); | 
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| 166 | fEventsBackground = fFunc->Integral(0, fIntegralMax)/alphaw; | 
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| 167 | fEventsSignal     = h.Integral(1, bin); | 
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| 168 | fEventsExcess     = fEventsSignal-fEventsBackground; | 
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| 169 | fSignificance     = MMath::SignificanceLiMaSigned(fEventsSignal, fEventsBackground); | 
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| 170 | fSignificanceExc  = MMath::SignificanceLiMaExc(fEventsSignal, fEventsBackground); | 
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| 171 |  | 
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| 172 | // !Finitite includes IsNaN | 
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| 173 | if (!TMath::Finite(fSignificance)) | 
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| 174 | fSignificance=0; | 
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| 175 |  | 
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| 176 | if (fEventsExcess<0) | 
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| 177 | fEventsExcess=0; | 
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| 178 | } | 
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| 179 |  | 
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| 180 | // -------------------------------------------------------------------------- | 
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| 181 | // | 
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| 182 | // This is a preliminary implementation of a alpha-fit procedure for | 
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| 183 | // all possible source positions. It will be moved into its own | 
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| 184 | // more powerfull class soon. | 
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| 185 | // | 
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| 186 | // The fit function is "gaus(0)+pol2(3)" which is equivalent to: | 
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| 187 | //   [0]*exp(-0.5*((x-[1])/[2])^2) + [3] + [4]*x + [5]*x^2 | 
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| 188 | // or | 
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| 189 | //   A*exp(-0.5*((x-mu)/sigma)^2) + a + b*x + c*x^2 | 
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| 190 | // | 
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| 191 | // Parameter [1] is fixed to 0 while the alpha peak should be | 
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| 192 | // symmetric around alpha=0. | 
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| 193 | // | 
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| 194 | // Parameter [4] is fixed to 0 because the first derivative at | 
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| 195 | // alpha=0 should be 0, too. | 
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| 196 | // | 
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| 197 | // In a first step the background is fitted between bgmin and bgmax, | 
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| 198 | // while the parameters [0]=0 and [2]=1 are fixed. | 
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| 199 | // | 
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| 200 | // In a second step the signal region (alpha<sigmax) is fittet using | 
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| 201 | // the whole function with parameters [1], [3], [4] and [5] fixed. | 
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| 202 | // | 
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| 203 | // The number of excess and background events are calculated as | 
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| 204 | //   s = int(hist,    0, 1.25*sigint) | 
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| 205 | //   b = int(pol2(3), 0, 1.25*sigint) | 
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| 206 | // | 
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| 207 | // The Significance is calculated using the Significance() member | 
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| 208 | // function. | 
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| 209 | // | 
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| 210 | Bool_t MAlphaFitter::Fit(TH1D &h, Bool_t paint) | 
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| 211 | { | 
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| 212 | Clear(); | 
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| 213 |  | 
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| 214 | // Check for the region which is not filled... | 
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| 215 | // if (alpha0==0) | 
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| 216 | //     return kFALSE; | 
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| 217 |  | 
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| 218 | // Perform fit to the off-data | 
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| 219 | if (!FitOff(h, paint)) | 
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| 220 | return kFALSE; | 
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| 221 |  | 
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| 222 | fFunc->ReleaseParameter(0);  // It is also released by SetParLimits later on | 
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| 223 | //func.ReleaseParameter(1);  // It is also released by SetParLimits later on | 
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| 224 | fFunc->ReleaseParameter(2); | 
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| 225 | for (int i=3; i<fFunc->GetNpar(); i++) | 
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| 226 | fFunc->FixParameter(i, fFunc->GetParameter(i)); | 
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| 227 |  | 
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| 228 |  | 
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| 229 | // Do not allow signals smaller than the background | 
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| 230 | const Double_t alpha0 = h.GetBinContent(1); | 
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| 231 | const Double_t s      = fSignalFunc==kGauss ? fFunc->GetParameter(3) : TMath::Exp(fFunc->GetParameter(3)); | 
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| 232 | const Double_t A      = alpha0-s; | 
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| 233 | //const Double_t dA     = TMath::Abs(A); | 
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| 234 | //fFunc->SetParLimits(0, -dA*4, dA*4);  // SetParLimits also releases the parameter | 
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| 235 | fFunc->SetParLimits(2, 0, 90);        // SetParLimits also releases the parameter | 
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| 236 |  | 
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| 237 | // Now fit a gaus in the on region on top of the polynom | 
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| 238 | fFunc->SetParameter(0, A); | 
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| 239 | fFunc->SetParameter(2, fSigMax*0.75); | 
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| 240 |  | 
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| 241 | // options : N  do not store the function, do not draw | 
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| 242 | //           I  use integral of function in bin rather than value at bin center | 
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| 243 | //           R  use the range specified in the function range | 
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| 244 | //           Q  quiet mode | 
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| 245 | //           E  Perform better Errors estimation using Minos technique | 
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| 246 | h.Fit(fFunc, "NQI", "", 0, fSigMax); | 
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| 247 |  | 
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| 248 | fChiSqSignal = fFunc->GetChisquare()/fFunc->GetNDF(); | 
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| 249 | fCoefficients.Set(fFunc->GetNpar(), fFunc->GetParameters()); | 
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| 250 | for (int i=0; i<3; i++) | 
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| 251 | fErrors[i] = fFunc->GetParError(i); | 
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| 252 | //const Bool_t ok = NDF>0 && chi2<2.5*NDF; | 
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| 253 |  | 
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| 254 | // ------------------------------------ | 
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| 255 | if (paint) | 
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| 256 | { | 
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| 257 | fFunc->SetLineColor(kGreen); | 
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| 258 | fFunc->SetLineWidth(2); | 
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| 259 | fFunc->Paint("same"); | 
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| 260 | } | 
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| 261 | // ------------------------------------ | 
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| 262 |  | 
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| 263 | //const Double_t s = fFunc->Integral(0, fSigInt)/alphaw; | 
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| 264 | fFunc->SetParameter(0, 0); | 
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| 265 | fFunc->SetParameter(2, 1); | 
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| 266 | //const Double_t b = fFunc->Integral(0, fSigInt)/alphaw; | 
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| 267 | //fSignificance = MMath::SignificanceLiMaSigned(s, b); | 
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| 268 |  | 
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| 269 | // Calculate the fit result and set the corresponding data members | 
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| 270 | FitResult(h); | 
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| 271 |  | 
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| 272 | return kTRUE; | 
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| 273 | } | 
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| 274 |  | 
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| 275 | Double_t MAlphaFitter::DoOffFit(const TH1D &hon, const TH1D &hof, Bool_t paint) | 
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| 276 | { | 
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| 277 | if (fSignalFunc!=kThetaSq) | 
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| 278 | return 0; | 
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| 279 |  | 
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| 280 | // ---------------------------------------------------------------------------- | 
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| 281 |  | 
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| 282 | const Int_t bin = hon.GetXaxis()->FindFixBin(fSigInt*0.999); | 
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| 283 |  | 
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| 284 |  | 
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| 285 | MAlphaFitter fit(*this); | 
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| 286 | fit.EnableBackgroundFit(); | 
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| 287 | fit.SetBackgroundFitMin(0); | 
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| 288 |  | 
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| 289 | // produce a histogram containing the off-samples from on-source and | 
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| 290 | // off-source in the off-source region and the on-data in the source-region | 
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| 291 | TH1D h(hof); | 
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| 292 | h.Add(&hon); | 
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| 293 | h.Scale(0.5); | 
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| 294 | for (int i=1; i<=bin+3; i++) | 
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| 295 | { | 
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| 296 | h.SetBinContent(i, hof.GetBinContent(i)); | 
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| 297 | h.SetBinError(  i, hof.GetBinError(i)); | 
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| 298 | } | 
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| 299 |  | 
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| 300 | // Now fit the off-data | 
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| 301 | if (!fit.FitOff(h, paint?2:0)) // FIXME: Show fit! | 
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| 302 | return -1; | 
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| 303 |  | 
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| 304 | // Calculate fit-result | 
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| 305 | fit.FitResult(h); | 
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| 306 |  | 
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| 307 | // Do a gaussian error propagation to calculated the error of | 
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| 308 | // the background estimated from the fit | 
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| 309 | const Double_t ea = fit.GetErrors()[3]; | 
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| 310 | const Double_t eb = fit.GetErrors()[4]; | 
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| 311 | const Double_t a  = fit.GetCoefficients()[3]; | 
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| 312 | const Double_t b  = fit.GetCoefficients()[4]; | 
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| 313 |  | 
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| 314 | const Double_t t  = fIntegralMax; | 
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| 315 |  | 
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| 316 | const Double_t ex  = TMath::Exp(t*b); | 
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| 317 | const Double_t eab = TMath::Exp(a)/b; | 
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| 318 |  | 
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| 319 | const Double_t eA = ex-1; | 
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| 320 | const Double_t eB = t*ex - eA/b; | 
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| 321 |  | 
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| 322 | const Double_t w  = h.GetXaxis()->GetBinWidth(1); | 
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| 323 |  | 
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| 324 | // Error of estimated background | 
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| 325 | const Double_t er = TMath::Abs(eab)*TMath::Hypot(eA*ea, eB*eb)/w; | 
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| 326 |  | 
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| 327 | // Calculate arbitrary scale factor from propagated error from the | 
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| 328 | // condition: sqrt(alpha*background) = est.background/est.error | 
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| 329 | // const Double_t bg = hof.Integral(1, bin); | 
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| 330 | // const Double_t sc = bg * er*er / (fit2.GetEventsBackground()*fit2.GetEventsBackground()); | 
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| 331 | // Assuming that bg and fit2.GetEventsBackground() are rather identical: | 
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| 332 | const Double_t sc = er*er / fit.GetEventsBackground(); | 
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| 333 | /* | 
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| 334 | cout << MMath::SignificanceLiMaSigned(hon.Integral(1, bin), fit.GetEventsBackground()/sc, sc) << " "; | 
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| 335 | cout << sc << " "; | 
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| 336 | cout << fit.fChiSqBg << endl; | 
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| 337 | */ | 
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| 338 | return sc; | 
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| 339 | } | 
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| 340 |  | 
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| 341 | Bool_t MAlphaFitter::Fit(const TH1D &hon, const TH1D &hof, Double_t alpha, Bool_t paint) | 
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| 342 | { | 
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| 343 | TH1D h(hon); | 
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| 344 | h.Add(&hof, -1); // substracts also number of entries! | 
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| 345 | h.SetEntries(hon.GetEntries()); | 
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| 346 |  | 
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| 347 | MAlphaFitter fit(*this); | 
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| 348 | fit.SetPolynomOrder(0); | 
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| 349 | if (alpha<=0 || !fit.Fit(h, paint)) | 
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| 350 | return kFALSE; | 
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| 351 |  | 
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| 352 | fChiSqSignal  = fit.GetChiSqSignal(); | 
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| 353 | fChiSqBg      = fit.GetChiSqBg(); | 
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| 354 | fCoefficients = fit.GetCoefficients(); | 
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| 355 | fErrors       = fit.GetErrors(); | 
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| 356 |  | 
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| 357 |  | 
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| 358 | // ---------------------------------------------------------------------------- | 
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| 359 |  | 
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| 360 | const Double_t scale = DoOffFit(hon, hof, paint); | 
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| 361 | if (scale<0) | 
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| 362 | return kFALSE; | 
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| 363 |  | 
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| 364 | // ---------------------------------------------------------------------------- | 
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| 365 |  | 
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| 366 | const Int_t bin = hon.GetXaxis()->FindFixBin(fSigInt*0.999); | 
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| 367 |  | 
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| 368 | fIntegralMax      = hon.GetBinLowEdge(bin+1); | 
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| 369 | fEventsBackground = hof.Integral(1, bin); | 
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| 370 | fEventsSignal     = hon.Integral(1, bin); | 
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| 371 | fEventsExcess     = fEventsSignal-fEventsBackground; | 
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| 372 | fScaleFactor      = alpha; | 
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| 373 | fSignificance     = MMath::SignificanceLiMaSigned(fEventsSignal, fEventsBackground/alpha, alpha); | 
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| 374 | fSignificanceExc  = MMath::SignificanceLiMaExc(fEventsSignal, fEventsBackground/alpha, alpha); | 
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| 375 |  | 
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| 376 | // !Finitite includes IsNaN | 
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| 377 | if (!TMath::Finite(fSignificance)) | 
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| 378 | fSignificance=0; | 
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| 379 | if (fEventsExcess<0) | 
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| 380 | fEventsExcess=0; | 
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| 381 |  | 
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| 382 | return kTRUE; | 
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| 383 | } | 
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| 384 |  | 
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| 385 | // -------------------------------------------------------------------------- | 
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| 386 | // | 
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| 387 | // Calculate the upper limit for fEventsSignal number of observed events | 
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| 388 | // and fEventsBackground number of background events. | 
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| 389 | // | 
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| 390 | // Therefor TFeldmanCousin is used. | 
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| 391 | // | 
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| 392 | // The Feldman-Cousins method as described in PRD V57 #7, p3873-3889 | 
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| 393 | // | 
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| 394 | Double_t MAlphaFitter::CalcUpperLimit() const | 
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| 395 | { | 
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| 396 | // get a FeldmanCousins calculation object with the default limits | 
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| 397 | // of calculating a 90% CL with the minimum signal value scanned | 
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| 398 | // = 0.0 and the maximum signal value scanned of 50.0 | 
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| 399 | TFeldmanCousins f; | 
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| 400 | f.SetMuStep(0.05); | 
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| 401 | f.SetMuMax(100); | 
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| 402 | f.SetMuMin(0); | 
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| 403 | f.SetCL(90); | 
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| 404 |  | 
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| 405 | return f.CalculateUpperLimit(fEventsSignal, fEventsBackground); | 
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| 406 | } | 
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| 407 |  | 
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| 408 | void MAlphaFitter::PaintResult(Float_t x, Float_t y, Float_t size, Bool_t draw) const | 
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| 409 | { | 
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| 410 | const Double_t w  = GetGausSigma(); | 
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| 411 | const Double_t m  = fIntegralMax; | 
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| 412 |  | 
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| 413 | const Int_t    l1 = w<=0 ? 0 : (Int_t)TMath::Ceil(-TMath::Log10(w)); | 
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| 414 | const Int_t    l2 = m<=0 ? 0 : (Int_t)TMath::Ceil(-TMath::Log10(m)); | 
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| 415 | const TString fmt = Form("\\sigma_{L/M}=%%.1f  \\omega=%%.%df\\circ  E=%%d B=%%d  x<%%.%df  \\tilde\\chi_{b}=%%.1f  \\tilde\\chi_{s}=%%.1f  c=%%.1f  f=%%.2f", | 
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| 416 | l1<1?1:l1+1, l2<1?1:l2+1); | 
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| 417 | const TString txt = Form(fmt.Data(), fSignificance, w, (int)fEventsExcess, | 
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| 418 | (int)fEventsBackground, m, fChiSqBg, fChiSqSignal, | 
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| 419 | fCoefficients[3], fScaleFactor); | 
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| 420 |  | 
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| 421 | // This is totaly weired but the only way to get both options | 
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| 422 | // working with this nonsense implementation of TLatex | 
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| 423 | TLatex text(x, y, txt); | 
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| 424 | text.SetBit(TLatex::kTextNDC); | 
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| 425 | text.SetTextSize(size); | 
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| 426 | if (draw) | 
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| 427 | text.DrawLatex(x, y, txt); | 
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| 428 | else | 
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| 429 | text.Paint(); | 
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| 430 |  | 
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| 431 | TLine line; | 
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| 432 | line.SetLineColor(14); | 
|---|
| 433 | if (draw) | 
|---|
| 434 | line.DrawLine(m, gPad->GetUymin(), m, gPad->GetUymax()); | 
|---|
| 435 | else | 
|---|
| 436 | line.PaintLine(m, gPad->GetUymin(), m, gPad->GetUymax()); | 
|---|
| 437 | } | 
|---|
| 438 |  | 
|---|
| 439 | void MAlphaFitter::Copy(TObject &o) const | 
|---|
| 440 | { | 
|---|
| 441 | MAlphaFitter &f = static_cast<MAlphaFitter&>(o); | 
|---|
| 442 |  | 
|---|
| 443 | // Setup | 
|---|
| 444 | f.fSigInt       = fSigInt; | 
|---|
| 445 | f.fSigMax       = fSigMax; | 
|---|
| 446 | f.fBgMin        = fBgMin; | 
|---|
| 447 | f.fBgMax        = fBgMax; | 
|---|
| 448 | f.fScaleMin     = fScaleMin; | 
|---|
| 449 | f.fScaleMax     = fScaleMax; | 
|---|
| 450 | f.fPolynomOrder = fPolynomOrder; | 
|---|
| 451 | f.fFitBackground= fFitBackground; | 
|---|
| 452 | f.fSignalFunc   = fSignalFunc; | 
|---|
| 453 | f.fScaleMode    = fScaleMode; | 
|---|
| 454 | f.fScaleUser    = fScaleUser; | 
|---|
| 455 | f.fStrategy     = fStrategy; | 
|---|
| 456 | f.fCoefficients.Set(fCoefficients.GetSize()); | 
|---|
| 457 | f.fCoefficients.Reset(); | 
|---|
| 458 | f.fErrors.Set(fCoefficients.GetSize()); | 
|---|
| 459 | f.fErrors.Reset(); | 
|---|
| 460 |  | 
|---|
| 461 | // Result | 
|---|
| 462 | f.fSignificance     = fSignificance; | 
|---|
| 463 | f.fSignificanceExc  = fSignificanceExc; | 
|---|
| 464 | f.fEventsExcess     = fEventsExcess; | 
|---|
| 465 | f.fEventsSignal     = fEventsSignal; | 
|---|
| 466 | f.fEventsBackground = fEventsBackground; | 
|---|
| 467 | f.fChiSqSignal      = fChiSqSignal; | 
|---|
| 468 | f.fChiSqBg          = fChiSqBg; | 
|---|
| 469 | f.fIntegralMax      = fIntegralMax; | 
|---|
| 470 | f.fScaleFactor      = fScaleFactor; | 
|---|
| 471 |  | 
|---|
| 472 | // Function | 
|---|
| 473 | TF1 *fcn = f.fFunc; | 
|---|
| 474 | f.fFunc = new TF1(*fFunc); | 
|---|
| 475 | f.fFunc->SetName("Dummy"); | 
|---|
| 476 | gROOT->GetListOfFunctions()->Remove(f.fFunc); | 
|---|
| 477 | delete fcn; | 
|---|
| 478 | } | 
|---|
| 479 |  | 
|---|
| 480 | void MAlphaFitter::Print(Option_t *o) const | 
|---|
| 481 | { | 
|---|
| 482 | *fLog << GetDescriptor() << ": Fitting..." << endl; | 
|---|
| 483 | *fLog << " ...signal to " << fSigMax << " (integrate into bin at " << fSigInt << ")" << endl; | 
|---|
| 484 | *fLog << " ...signal function: "; | 
|---|
| 485 | switch (fSignalFunc) | 
|---|
| 486 | { | 
|---|
| 487 | case kGauss:       *fLog << "gauss(x)/pol" << fPolynomOrder; break; | 
|---|
| 488 | case kThetaSq:     *fLog << "gauss(sqrt(x))/expo";  break; | 
|---|
| 489 | } | 
|---|
| 490 | *fLog << endl; | 
|---|
| 491 | if (!fFitBackground) | 
|---|
| 492 | *fLog << " ...no background." << endl; | 
|---|
| 493 | else | 
|---|
| 494 | { | 
|---|
| 495 | *fLog << " ...background from " << fBgMin << " to " << fBgMax << endl; | 
|---|
| 496 | *fLog << " ...polynom order " << fPolynomOrder << endl; | 
|---|
| 497 | *fLog << " ...scale mode: "; | 
|---|
| 498 | switch (fScaleMode) | 
|---|
| 499 | { | 
|---|
| 500 | case kNone:        *fLog << "none.";         break; | 
|---|
| 501 | case kEntries:     *fLog << "entries.";      break; | 
|---|
| 502 | case kIntegral:    *fLog << "integral.";     break; | 
|---|
| 503 | case kOffRegion:   *fLog << "off region (integral between " << fScaleMin << " and " << fScaleMax << ")"; break; | 
|---|
| 504 | case kBackground:  *fLog << "background (integral between " << fBgMin    << " and " << fBgMax    << ")"; break; | 
|---|
| 505 | case kLeastSquare: *fLog << "least square (N/A)"; break; | 
|---|
| 506 | case kUserScale:   *fLog << "user def (" << fScaleUser << ")"; break; | 
|---|
| 507 | } | 
|---|
| 508 | *fLog << endl; | 
|---|
| 509 | } | 
|---|
| 510 |  | 
|---|
| 511 | if (TString(o).Contains("result")) | 
|---|
| 512 | { | 
|---|
| 513 | *fLog << "Result:" << endl; | 
|---|
| 514 | *fLog << " - Significance (Li/Ma)    " << fSignificance << endl; | 
|---|
| 515 | *fLog << " - Excess Events           " << fEventsExcess << endl; | 
|---|
| 516 | *fLog << " - Signal Events           " << fEventsSignal << endl; | 
|---|
| 517 | *fLog << " - Background Events       " << fEventsBackground << endl; | 
|---|
| 518 | *fLog << " - Chi^2/ndf (Signal)      " << fChiSqSignal << endl; | 
|---|
| 519 | *fLog << " - Chi^2/ndf (Background)  " << fChiSqBg << endl; | 
|---|
| 520 | *fLog << " - Signal integrated up to " << fIntegralMax << "°" << endl; | 
|---|
| 521 | *fLog << " - Scale Factor (Off)      " << fScaleFactor << endl; | 
|---|
| 522 | } | 
|---|
| 523 | } | 
|---|
| 524 |  | 
|---|
| 525 | Bool_t MAlphaFitter::FitEnergy(const TH3D &hon, UInt_t bin, Bool_t paint) | 
|---|
| 526 | { | 
|---|
| 527 | const TString name(Form("TempAlphaEnergy%06d", gRandom->Integer(1000000))); | 
|---|
| 528 | TH1D *h = hon.ProjectionZ(name, -1, -1, bin, bin, "E"); | 
|---|
| 529 | h->SetDirectory(0); | 
|---|
| 530 |  | 
|---|
| 531 | const Bool_t rc = Fit(*h, paint); | 
|---|
| 532 | delete h; | 
|---|
| 533 | return rc; | 
|---|
| 534 | } | 
|---|
| 535 |  | 
|---|
| 536 | Bool_t MAlphaFitter::FitTheta(const TH3D &hon, UInt_t bin, Bool_t paint) | 
|---|
| 537 | { | 
|---|
| 538 | const TString name(Form("TempAlphaTheta%06d", gRandom->Integer(1000000))); | 
|---|
| 539 | TH1D *h = hon.ProjectionZ(name, bin, bin, -1, -1, "E"); | 
|---|
| 540 | h->SetDirectory(0); | 
|---|
| 541 |  | 
|---|
| 542 | const Bool_t rc = Fit(*h, paint); | 
|---|
| 543 | delete h; | 
|---|
| 544 | return rc; | 
|---|
| 545 | } | 
|---|
| 546 | /* | 
|---|
| 547 | Bool_t MAlphaFitter::FitTime(const TH3D &hon, UInt_t bin, Bool_t paint) | 
|---|
| 548 | { | 
|---|
| 549 | const TString name(Form("TempAlphaTime%06d", gRandom->Integer(1000000))); | 
|---|
| 550 |  | 
|---|
| 551 | hon.GetZaxis()->SetRange(bin,bin); | 
|---|
| 552 | TH1D *h = (TH1D*)hon.Project3D("ye"); | 
|---|
| 553 | hon.GetZaxis()->SetRange(-1,-1); | 
|---|
| 554 |  | 
|---|
| 555 | h->SetDirectory(0); | 
|---|
| 556 |  | 
|---|
| 557 | const Bool_t rc = Fit(*h, paint); | 
|---|
| 558 | delete h; | 
|---|
| 559 | return rc; | 
|---|
| 560 | } | 
|---|
| 561 | */ | 
|---|
| 562 | Bool_t MAlphaFitter::FitAlpha(const TH3D &hon, Bool_t paint) | 
|---|
| 563 | { | 
|---|
| 564 | const TString name(Form("TempAlpha%06d", gRandom->Integer(1000000))); | 
|---|
| 565 | TH1D *h = hon.ProjectionZ(name, -1, -1, -1, -1, "E"); | 
|---|
| 566 | h->SetDirectory(0); | 
|---|
| 567 |  | 
|---|
| 568 | const Bool_t rc = Fit(*h, paint); | 
|---|
| 569 | delete h; | 
|---|
| 570 | return rc; | 
|---|
| 571 | } | 
|---|
| 572 |  | 
|---|
| 573 | Bool_t MAlphaFitter::FitEnergy(const TH3D &hon, const TH3D &hof, UInt_t bin, Bool_t paint) | 
|---|
| 574 | { | 
|---|
| 575 | const TString name1(Form("TempAlpha%06d_on",  gRandom->Integer(1000000))); | 
|---|
| 576 | const TString name0(Form("TempAlpha%06d_off", gRandom->Integer(1000000))); | 
|---|
| 577 |  | 
|---|
| 578 | TH1D *h1 = hon.ProjectionZ(name1, -1, -1, bin, bin, "E"); | 
|---|
| 579 | TH1D *h0 = hof.ProjectionZ(name0, -1, -1, bin, bin, "E"); | 
|---|
| 580 | h1->SetDirectory(0); | 
|---|
| 581 | h0->SetDirectory(0); | 
|---|
| 582 |  | 
|---|
| 583 | const Bool_t rc = ScaleAndFit(*h1, h0, paint); | 
|---|
| 584 |  | 
|---|
| 585 | delete h0; | 
|---|
| 586 | delete h1; | 
|---|
| 587 |  | 
|---|
| 588 | return rc; | 
|---|
| 589 | } | 
|---|
| 590 |  | 
|---|
| 591 | Bool_t MAlphaFitter::FitTheta(const TH3D &hon, const TH3D &hof, UInt_t bin, Bool_t paint) | 
|---|
| 592 | { | 
|---|
| 593 | const TString name1(Form("TempAlpha%06d_on",  gRandom->Integer(1000000))); | 
|---|
| 594 | const TString name0(Form("TempAlpha%06d_off", gRandom->Integer(1000000))); | 
|---|
| 595 |  | 
|---|
| 596 | TH1D *h1 = hon.ProjectionZ(name1, bin, bin, -1, -1, "E"); | 
|---|
| 597 | TH1D *h0 = hof.ProjectionZ(name0, bin, bin, -1, -1, "E"); | 
|---|
| 598 | h1->SetDirectory(0); | 
|---|
| 599 | h0->SetDirectory(0); | 
|---|
| 600 |  | 
|---|
| 601 | const Bool_t rc = ScaleAndFit(*h1, h0, paint); | 
|---|
| 602 |  | 
|---|
| 603 | delete h0; | 
|---|
| 604 | delete h1; | 
|---|
| 605 |  | 
|---|
| 606 | return rc; | 
|---|
| 607 | } | 
|---|
| 608 | /* | 
|---|
| 609 | Bool_t MAlphaFitter::FitTime(const TH3D &hon, const TH3D &hof, UInt_t bin, Bool_t paint) | 
|---|
| 610 | { | 
|---|
| 611 | const TString name1(Form("TempAlphaTime%06d_on",  gRandom->Integer(1000000))); | 
|---|
| 612 | const TString name0(Form("TempAlphaTime%06d_off", gRandom->Integer(1000000))); | 
|---|
| 613 |  | 
|---|
| 614 | hon.GetZaxis()->SetRange(bin,bin); | 
|---|
| 615 | TH1D *h1 = (TH1D*)hon.Project3D("ye"); | 
|---|
| 616 | hon.GetZaxis()->SetRange(-1,-1); | 
|---|
| 617 | h1->SetDirectory(0); | 
|---|
| 618 |  | 
|---|
| 619 | hof.GetZaxis()->SetRange(bin,bin); | 
|---|
| 620 | TH1D *h0 = (TH1D*)hof.Project3D("ye"); | 
|---|
| 621 | hof.GetZaxis()->SetRange(-1,-1); | 
|---|
| 622 | h0->SetDirectory(0); | 
|---|
| 623 |  | 
|---|
| 624 | const Bool_t rc = ScaleAndFit(*h1, h0, paint); | 
|---|
| 625 |  | 
|---|
| 626 | delete h0; | 
|---|
| 627 | delete h1; | 
|---|
| 628 |  | 
|---|
| 629 | return rc; | 
|---|
| 630 | } | 
|---|
| 631 | */ | 
|---|
| 632 | Bool_t MAlphaFitter::FitAlpha(const TH3D &hon, const TH3D &hof, Bool_t paint) | 
|---|
| 633 | { | 
|---|
| 634 | const TString name1(Form("TempAlpha%06d_on",  gRandom->Integer(1000000))); | 
|---|
| 635 | const TString name0(Form("TempAlpha%06d_off", gRandom->Integer(1000000))); | 
|---|
| 636 |  | 
|---|
| 637 | TH1D *h1 = hon.ProjectionZ(name1, -1, -1, -1, -1, "E"); | 
|---|
| 638 | TH1D *h0 = hof.ProjectionZ(name0, -1, -1, -1, -1, "E"); | 
|---|
| 639 | h1->SetDirectory(0); | 
|---|
| 640 | h0->SetDirectory(0); | 
|---|
| 641 |  | 
|---|
| 642 | const Bool_t rc = ScaleAndFit(*h1, h0, paint); | 
|---|
| 643 |  | 
|---|
| 644 | delete h0; | 
|---|
| 645 | delete h1; | 
|---|
| 646 |  | 
|---|
| 647 | return rc; | 
|---|
| 648 | } | 
|---|
| 649 |  | 
|---|
| 650 | Double_t MAlphaFitter::Scale(TH1D &of, const TH1D &on) const | 
|---|
| 651 | { | 
|---|
| 652 | Float_t scaleon = 1; | 
|---|
| 653 | Float_t scaleof = 1; | 
|---|
| 654 | switch (fScaleMode) | 
|---|
| 655 | { | 
|---|
| 656 | case kNone: | 
|---|
| 657 | return 1; | 
|---|
| 658 |  | 
|---|
| 659 | case kEntries: | 
|---|
| 660 | scaleon = on.GetEntries(); | 
|---|
| 661 | scaleof = of.GetEntries(); | 
|---|
| 662 | break; | 
|---|
| 663 |  | 
|---|
| 664 | case kIntegral: | 
|---|
| 665 | scaleon = on.Integral(); | 
|---|
| 666 | scaleof = of.Integral(); | 
|---|
| 667 | break; | 
|---|
| 668 |  | 
|---|
| 669 | case kOffRegion: | 
|---|
| 670 | { | 
|---|
| 671 | const Int_t min = on.GetXaxis()->FindFixBin(fScaleMin); | 
|---|
| 672 | const Int_t max = on.GetXaxis()->FindFixBin(fScaleMax); | 
|---|
| 673 | scaleon = on.Integral(min, max); | 
|---|
| 674 | scaleof = of.Integral(min, max); | 
|---|
| 675 | } | 
|---|
| 676 | break; | 
|---|
| 677 |  | 
|---|
| 678 | case kBackground: | 
|---|
| 679 | { | 
|---|
| 680 | const Int_t min = on.GetXaxis()->FindFixBin(fBgMin); | 
|---|
| 681 | const Int_t max = on.GetXaxis()->FindFixBin(fBgMax); | 
|---|
| 682 | scaleon = on.Integral(min, max); | 
|---|
| 683 | scaleof = of.Integral(min, max); | 
|---|
| 684 | } | 
|---|
| 685 | break; | 
|---|
| 686 |  | 
|---|
| 687 | case kUserScale: | 
|---|
| 688 | scaleon = fScaleUser; | 
|---|
| 689 | break; | 
|---|
| 690 |  | 
|---|
| 691 | // This is just to make some compiler happy | 
|---|
| 692 | default: | 
|---|
| 693 | return 1; | 
|---|
| 694 | } | 
|---|
| 695 |  | 
|---|
| 696 | if (scaleof!=0) | 
|---|
| 697 | { | 
|---|
| 698 | of.Scale(scaleon/scaleof); | 
|---|
| 699 | return scaleon/scaleof; | 
|---|
| 700 | } | 
|---|
| 701 | else | 
|---|
| 702 | { | 
|---|
| 703 | of.Reset(); | 
|---|
| 704 | return 0; | 
|---|
| 705 | } | 
|---|
| 706 | } | 
|---|
| 707 |  | 
|---|
| 708 | Double_t MAlphaFitter::GetMinimizationValue() const | 
|---|
| 709 | { | 
|---|
| 710 | switch (fStrategy) | 
|---|
| 711 | { | 
|---|
| 712 | case kSignificance: | 
|---|
| 713 | return -GetSignificance(); | 
|---|
| 714 | case kSignificanceChi2: | 
|---|
| 715 | return -GetSignificance()/GetChiSqSignal(); | 
|---|
| 716 | case kSignificanceLogExcess: | 
|---|
| 717 | if (GetEventsExcess()<1) | 
|---|
| 718 | return 0; | 
|---|
| 719 | return -GetSignificance()*TMath::Log10(GetEventsExcess()); | 
|---|
| 720 | case kSignificanceExcess: | 
|---|
| 721 | return -GetSignificance()*GetEventsExcess(); | 
|---|
| 722 | case kExcess: | 
|---|
| 723 | return -GetEventsExcess(); | 
|---|
| 724 | case kGaussSigma: | 
|---|
| 725 | return GetGausSigma(); | 
|---|
| 726 | case kWeakSource: | 
|---|
| 727 | return GetEventsBackground()<1 ? -GetEventsExcess() : -GetEventsExcess()/TMath::Sqrt(GetEventsBackground()); | 
|---|
| 728 | } | 
|---|
| 729 | return 0; | 
|---|
| 730 | } | 
|---|
| 731 |  | 
|---|
| 732 | Int_t MAlphaFitter::ReadEnv(const TEnv &env, TString prefix, Bool_t print) | 
|---|
| 733 | { | 
|---|
| 734 | Bool_t rc = kFALSE; | 
|---|
| 735 |  | 
|---|
| 736 | //void SetScaleUser(Float_t scale)       { fScaleUser = scale; fScaleMode=kUserScale; } | 
|---|
| 737 | //void SetScaleMode(ScaleMode_t mode)    { fScaleMode    = mode; } | 
|---|
| 738 |  | 
|---|
| 739 | if (IsEnvDefined(env, prefix, "SignalIntegralMax", print)) | 
|---|
| 740 | { | 
|---|
| 741 | SetSignalIntegralMax(GetEnvValue(env, prefix, "SignalIntegralMax", fSigInt)); | 
|---|
| 742 | rc = kTRUE; | 
|---|
| 743 | } | 
|---|
| 744 | if (IsEnvDefined(env, prefix, "SignalFitMax", print)) | 
|---|
| 745 | { | 
|---|
| 746 | SetSignalIntegralMax(GetEnvValue(env, prefix, "SignalFitMax", fSigMax)); | 
|---|
| 747 | rc = kTRUE; | 
|---|
| 748 | } | 
|---|
| 749 | if (IsEnvDefined(env, prefix, "BackgroundFitMax", print)) | 
|---|
| 750 | { | 
|---|
| 751 | SetBackgroundFitMax(GetEnvValue(env, prefix, "BackgroundFitMax", fBgMax)); | 
|---|
| 752 | rc = kTRUE; | 
|---|
| 753 | } | 
|---|
| 754 | if (IsEnvDefined(env, prefix, "BackgroundFitMin", print)) | 
|---|
| 755 | { | 
|---|
| 756 | SetBackgroundFitMin(GetEnvValue(env, prefix, "BackgroundFitMin", fBgMin)); | 
|---|
| 757 | rc = kTRUE; | 
|---|
| 758 | } | 
|---|
| 759 | if (IsEnvDefined(env, prefix, "ScaleMin", print)) | 
|---|
| 760 | { | 
|---|
| 761 | SetScaleMin(GetEnvValue(env, prefix, "ScaleMin", fScaleMin)); | 
|---|
| 762 | rc = kTRUE; | 
|---|
| 763 | } | 
|---|
| 764 | if (IsEnvDefined(env, prefix, "ScaleMax", print)) | 
|---|
| 765 | { | 
|---|
| 766 | SetScaleMax(GetEnvValue(env, prefix, "ScaleMax", fScaleMax)); | 
|---|
| 767 | rc = kTRUE; | 
|---|
| 768 | } | 
|---|
| 769 | if (IsEnvDefined(env, prefix, "PolynomOrder", print)) | 
|---|
| 770 | { | 
|---|
| 771 | SetPolynomOrder(GetEnvValue(env, prefix, "PolynomOrder", fPolynomOrder)); | 
|---|
| 772 | rc = kTRUE; | 
|---|
| 773 | } | 
|---|
| 774 |  | 
|---|
| 775 | if (IsEnvDefined(env, prefix, "MinimizationStrategy", print)) | 
|---|
| 776 | { | 
|---|
| 777 | TString txt = GetEnvValue(env, prefix, "MinimizationStrategy", ""); | 
|---|
| 778 | txt = txt.Strip(TString::kBoth); | 
|---|
| 779 | txt.ToLower(); | 
|---|
| 780 | if (txt==(TString)"significance") | 
|---|
| 781 | fStrategy = kSignificance; | 
|---|
| 782 | if (txt==(TString)"significancechi2") | 
|---|
| 783 | fStrategy = kSignificanceChi2; | 
|---|
| 784 | if (txt==(TString)"significanceexcess") | 
|---|
| 785 | fStrategy = kSignificanceExcess; | 
|---|
| 786 | if (txt==(TString)"excess") | 
|---|
| 787 | fStrategy = kExcess; | 
|---|
| 788 | if (txt==(TString)"gausssigma" || txt==(TString)"gaussigma") | 
|---|
| 789 | fStrategy = kGaussSigma; | 
|---|
| 790 | if (txt==(TString)"weaksource") | 
|---|
| 791 | fStrategy = kWeakSource; | 
|---|
| 792 | rc = kTRUE; | 
|---|
| 793 | } | 
|---|
| 794 | if (IsEnvDefined(env, prefix, "Scale", print)) | 
|---|
| 795 | { | 
|---|
| 796 | fScaleUser = GetEnvValue(env, prefix, "Scale", fScaleUser); | 
|---|
| 797 | rc = kTRUE; | 
|---|
| 798 | } | 
|---|
| 799 | if (IsEnvDefined(env, prefix, "ScaleMode", print)) | 
|---|
| 800 | { | 
|---|
| 801 | TString txt = GetEnvValue(env, prefix, "ScaleMode", ""); | 
|---|
| 802 | txt = txt.Strip(TString::kBoth); | 
|---|
| 803 | txt.ToLower(); | 
|---|
| 804 | if (txt==(TString)"none") | 
|---|
| 805 | fScaleMode = kNone; | 
|---|
| 806 | if (txt==(TString)"entries") | 
|---|
| 807 | fScaleMode = kEntries; | 
|---|
| 808 | if (txt==(TString)"integral") | 
|---|
| 809 | fScaleMode = kIntegral; | 
|---|
| 810 | if (txt==(TString)"offregion") | 
|---|
| 811 | fScaleMode = kOffRegion; | 
|---|
| 812 | if (txt==(TString)"background") | 
|---|
| 813 | fScaleMode = kBackground; | 
|---|
| 814 | if (txt==(TString)"leastsquare") | 
|---|
| 815 | fScaleMode = kLeastSquare; | 
|---|
| 816 | if (txt==(TString)"userscale") | 
|---|
| 817 | fScaleMode = kUserScale; | 
|---|
| 818 | if (txt==(TString)"fixed") | 
|---|
| 819 | { | 
|---|
| 820 | fScaleMode = kUserScale; | 
|---|
| 821 | fScaleUser = fScaleFactor; | 
|---|
| 822 | } | 
|---|
| 823 | rc = kTRUE; | 
|---|
| 824 | } | 
|---|
| 825 | if (IsEnvDefined(env, prefix, "SignalFunction", print)) | 
|---|
| 826 | { | 
|---|
| 827 | TString txt = GetEnvValue(env, prefix, "SignalFunction", ""); | 
|---|
| 828 | txt = txt.Strip(TString::kBoth); | 
|---|
| 829 | txt.ToLower(); | 
|---|
| 830 | if (txt==(TString)"gauss" || txt==(TString)"gaus") | 
|---|
| 831 | SetSignalFunction(kGauss); | 
|---|
| 832 | if (txt==(TString)"thetasq") | 
|---|
| 833 | SetSignalFunction(kThetaSq); | 
|---|
| 834 | rc = kTRUE; | 
|---|
| 835 | } | 
|---|
| 836 |  | 
|---|
| 837 | return rc; | 
|---|
| 838 | } | 
|---|