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 | if (TMath::IsNaN(fSignificance))
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173 | fSignificance=0;
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174 |
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175 | if (fEventsExcess<0)
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176 | fEventsExcess=0;
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177 | }
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178 |
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179 | // --------------------------------------------------------------------------
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180 | //
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181 | // This is a preliminary implementation of a alpha-fit procedure for
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182 | // all possible source positions. It will be moved into its own
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183 | // more powerfull class soon.
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184 | //
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185 | // The fit function is "gaus(0)+pol2(3)" which is equivalent to:
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186 | // [0]*exp(-0.5*((x-[1])/[2])^2) + [3] + [4]*x + [5]*x^2
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187 | // or
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188 | // A*exp(-0.5*((x-mu)/sigma)^2) + a + b*x + c*x^2
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189 | //
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190 | // Parameter [1] is fixed to 0 while the alpha peak should be
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191 | // symmetric around alpha=0.
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192 | //
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193 | // Parameter [4] is fixed to 0 because the first derivative at
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194 | // alpha=0 should be 0, too.
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195 | //
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196 | // In a first step the background is fitted between bgmin and bgmax,
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197 | // while the parameters [0]=0 and [2]=1 are fixed.
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198 | //
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199 | // In a second step the signal region (alpha<sigmax) is fittet using
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200 | // the whole function with parameters [1], [3], [4] and [5] fixed.
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201 | //
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202 | // The number of excess and background events are calculated as
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203 | // s = int(hist, 0, 1.25*sigint)
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204 | // b = int(pol2(3), 0, 1.25*sigint)
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205 | //
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206 | // The Significance is calculated using the Significance() member
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207 | // function.
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208 | //
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209 | Bool_t MAlphaFitter::Fit(TH1D &h, Bool_t paint)
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210 | {
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211 | Clear();
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212 |
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213 | // Check for the region which is not filled...
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214 | // if (alpha0==0)
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215 | // return kFALSE;
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216 |
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217 | // Perform fit to the off-data
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218 | if (!FitOff(h, paint))
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219 | return kFALSE;
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220 |
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221 | fFunc->ReleaseParameter(0); // It is also released by SetParLimits later on
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222 | //func.ReleaseParameter(1); // It is also released by SetParLimits later on
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223 | fFunc->ReleaseParameter(2);
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224 | for (int i=3; i<fFunc->GetNpar(); i++)
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225 | fFunc->FixParameter(i, fFunc->GetParameter(i));
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226 |
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227 |
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228 | // Do not allow signals smaller than the background
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229 | const Double_t alpha0 = h.GetBinContent(1);
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230 | const Double_t s = fSignalFunc==kGauss ? fFunc->GetParameter(3) : TMath::Exp(fFunc->GetParameter(3));
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231 | const Double_t A = alpha0-s;
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232 | //const Double_t dA = TMath::Abs(A);
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233 | //fFunc->SetParLimits(0, -dA*4, dA*4); // SetParLimits also releases the parameter
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234 | fFunc->SetParLimits(2, 0, 90); // SetParLimits also releases the parameter
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235 |
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236 | // Now fit a gaus in the on region on top of the polynom
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237 | fFunc->SetParameter(0, A);
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238 | fFunc->SetParameter(2, fSigMax*0.75);
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239 |
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240 | // options : N do not store the function, do not draw
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241 | // I use integral of function in bin rather than value at bin center
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242 | // R use the range specified in the function range
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243 | // Q quiet mode
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244 | // E Perform better Errors estimation using Minos technique
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245 | h.Fit(fFunc, "NQI", "", 0, fSigMax);
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246 |
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247 | fChiSqSignal = fFunc->GetChisquare()/fFunc->GetNDF();
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248 | fCoefficients.Set(fFunc->GetNpar(), fFunc->GetParameters());
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249 | for (int i=0; i<3; i++)
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250 | fErrors[i] = fFunc->GetParError(i);
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251 | //const Bool_t ok = NDF>0 && chi2<2.5*NDF;
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252 |
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253 | // ------------------------------------
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254 | if (paint)
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255 | {
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256 | fFunc->SetLineColor(kGreen);
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257 | fFunc->SetLineWidth(2);
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258 | fFunc->Paint("same");
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259 | }
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260 | // ------------------------------------
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261 |
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262 | //const Double_t s = fFunc->Integral(0, fSigInt)/alphaw;
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263 | fFunc->SetParameter(0, 0);
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264 | fFunc->SetParameter(2, 1);
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265 | //const Double_t b = fFunc->Integral(0, fSigInt)/alphaw;
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266 | //fSignificance = MMath::SignificanceLiMaSigned(s, b);
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267 |
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268 | // Calculate the fit result and set the corresponding data members
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269 | FitResult(h);
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270 |
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271 | return kTRUE;
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272 | }
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273 |
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274 | Double_t MAlphaFitter::DoOffFit(const TH1D &hon, const TH1D &hof, Bool_t paint)
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275 | {
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276 | if (fSignalFunc!=kThetaSq)
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277 | return 0;
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278 |
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279 | // ----------------------------------------------------------------------------
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280 |
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281 | const Int_t bin = hon.GetXaxis()->FindFixBin(fSigInt*0.999);
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282 |
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283 |
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284 | MAlphaFitter fit(*this);
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285 | fit.EnableBackgroundFit();
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286 | fit.SetBackgroundFitMin(0);
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287 |
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288 | // produce a histogram containing the off-samples from on-source and
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289 | // off-source in the off-source region and the on-data in the source-region
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290 | TH1D h(hof);
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291 | h.Add(&hon);
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292 | h.Scale(0.5);
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293 | for (int i=1; i<=bin+3; i++)
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294 | {
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295 | h.SetBinContent(i, hof.GetBinContent(i));
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296 | h.SetBinError( i, hof.GetBinError(i));
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297 | }
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298 |
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299 | // Now fit the off-data
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300 | if (!fit.FitOff(h, paint?2:0)) // FIXME: Show fit!
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301 | return -1;
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302 |
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303 | // Calculate fit-result
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304 | fit.FitResult(h);
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305 |
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306 | // Do a gaussian error propagation to calculated the error of
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307 | // the background estimated from the fit
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308 | const Double_t ea = fit.GetErrors()[3];
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309 | const Double_t eb = fit.GetErrors()[4];
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310 | const Double_t a = fit.GetCoefficients()[3];
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311 | const Double_t b = fit.GetCoefficients()[4];
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312 |
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313 | const Double_t t = fIntegralMax;
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314 |
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315 | const Double_t ex = TMath::Exp(t*b);
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316 | const Double_t eab = TMath::Exp(a)/b;
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317 |
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318 | const Double_t eA = ex-1;
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319 | const Double_t eB = t*ex - eA/b;
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320 |
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321 | const Double_t w = h.GetXaxis()->GetBinWidth(1);
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322 |
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323 | // Error of estimated background
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324 | const Double_t er = TMath::Abs(eab)*TMath::Hypot(eA*ea, eB*eb)/w;
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325 |
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326 | // Calculate arbitrary scale factor from propagated error from the
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327 | // condistion: sqrt(alpha*background) = est.background/est.error
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328 | // const Double_t bg = hof.Integral(1, bin);
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329 | // const Double_t sc = bg * er*er / (fit2.GetEventsBackground()*fit2.GetEventsBackground());
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330 | // Assuming that bg and fit2.GetEventsBackground() are rather identical:
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331 | const Double_t sc = er*er / fit.GetEventsBackground();
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332 | /*
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333 | cout << MMath::SignificanceLiMaSigned(hon.Integral(1, bin), fit.GetEventsBackground()/sc, sc) << " ";
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334 | cout << sc << " ";
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335 | cout << fit.fChiSqBg << endl;
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336 | */
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337 | return sc;
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338 | }
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339 |
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340 | Bool_t MAlphaFitter::Fit(const TH1D &hon, const TH1D &hof, Double_t alpha, Bool_t paint)
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341 | {
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342 | TH1D h(hon);
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343 | h.Add(&hof, -1); // substracts also number of entries!
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344 | h.SetEntries(hon.GetEntries());
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345 |
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346 | MAlphaFitter fit(*this);
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347 | fit.SetPolynomOrder(0);
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348 | if (alpha<=0 || !fit.Fit(h, paint))
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349 | return kFALSE;
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350 |
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351 | fChiSqSignal = fit.GetChiSqSignal();
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352 | fChiSqBg = fit.GetChiSqBg();
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353 | fCoefficients = fit.GetCoefficients();
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354 | fErrors = fit.GetErrors();
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355 |
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356 |
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357 | // ----------------------------------------------------------------------------
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358 |
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359 | const Double_t scale = DoOffFit(hon, hof, paint);
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360 | if (scale<0)
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361 | return kFALSE;
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362 |
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363 | // ----------------------------------------------------------------------------
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364 |
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365 | const Int_t bin = hon.GetXaxis()->FindFixBin(fSigInt*0.999);
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366 |
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367 | fIntegralMax = hon.GetBinLowEdge(bin+1);
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368 | fEventsBackground = hof.Integral(1, bin);
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369 | fEventsSignal = hon.Integral(1, bin);
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370 | fEventsExcess = fEventsSignal-fEventsBackground;
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371 | fScaleFactor = alpha;
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372 | fSignificance = MMath::SignificanceLiMaSigned(fEventsSignal, fEventsBackground/alpha, alpha);
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373 | fSignificanceExc = MMath::SignificanceLiMaExc(fEventsSignal, fEventsBackground/alpha, alpha);
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374 |
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375 | if (TMath::IsNaN(fSignificance))
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376 | fSignificance=0;
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377 | if (fEventsExcess<0)
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378 | fEventsExcess=0;
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379 |
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380 | return kTRUE;
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381 | }
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382 |
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383 | // --------------------------------------------------------------------------
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384 | //
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385 | // Calculate the upper limit for fEventsSignal number of observed events
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386 | // and fEventsBackground number of background events.
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387 | //
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388 | // Therefor TFeldmanCousin is used.
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389 | //
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390 | // The Feldman-Cousins method as described in PRD V57 #7, p3873-3889
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391 | //
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392 | Double_t MAlphaFitter::CalcUpperLimit() const
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393 | {
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394 | // get a FeldmanCousins calculation object with the default limits
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395 | // of calculating a 90% CL with the minimum signal value scanned
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396 | // = 0.0 and the maximum signal value scanned of 50.0
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397 | TFeldmanCousins f;
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398 | f.SetMuStep(0.05);
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399 | f.SetMuMax(100);
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400 | f.SetMuMin(0);
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401 | f.SetCL(90);
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402 |
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403 | return f.CalculateUpperLimit(fEventsSignal, fEventsBackground);
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404 | }
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405 |
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406 | void MAlphaFitter::PaintResult(Float_t x, Float_t y, Float_t size, Bool_t draw) const
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407 | {
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408 | const Double_t w = GetGausSigma();
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409 | const Double_t m = fIntegralMax;
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410 |
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411 | const Int_t l1 = w<=0 ? 0 : (Int_t)TMath::Ceil(-TMath::Log10(w));
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412 | const Int_t l2 = m<=0 ? 0 : (Int_t)TMath::Ceil(-TMath::Log10(m));
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413 | 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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414 | l1<1?1:l1+1, l2<1?1:l2+1);
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415 | const TString txt = Form(fmt.Data(), fSignificance, w, (int)fEventsExcess,
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416 | (int)fEventsBackground, m, fChiSqBg, fChiSqSignal,
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417 | fCoefficients[3], fScaleFactor);
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418 |
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419 | // This is totaly weired but the only way to get both options
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420 | // working with this nonsense implementation of TLatex
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421 | TLatex text(x, y, txt);
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422 | text.SetBit(TLatex::kTextNDC);
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423 | text.SetTextSize(size);
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424 | if (draw)
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425 | text.DrawLatex(x, y, txt);
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426 | else
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427 | text.Paint();
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428 |
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429 | TLine line;
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430 | line.SetLineColor(14);
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431 | if (draw)
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432 | line.DrawLine(m, gPad->GetUymin(), m, gPad->GetUymax());
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433 | else
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434 | line.PaintLine(m, gPad->GetUymin(), m, gPad->GetUymax());
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435 | }
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436 |
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437 | void MAlphaFitter::Copy(TObject &o) const
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438 | {
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439 | MAlphaFitter &f = static_cast<MAlphaFitter&>(o);
|
---|
440 |
|
---|
441 | // Setup
|
---|
442 | f.fSigInt = fSigInt;
|
---|
443 | f.fSigMax = fSigMax;
|
---|
444 | f.fBgMin = fBgMin;
|
---|
445 | f.fBgMax = fBgMax;
|
---|
446 | f.fScaleMin = fScaleMin;
|
---|
447 | f.fScaleMax = fScaleMax;
|
---|
448 | f.fPolynomOrder = fPolynomOrder;
|
---|
449 | f.fFitBackground= fFitBackground;
|
---|
450 | f.fSignalFunc = fSignalFunc;
|
---|
451 | f.fScaleMode = fScaleMode;
|
---|
452 | f.fScaleUser = fScaleUser;
|
---|
453 | f.fStrategy = fStrategy;
|
---|
454 | f.fCoefficients.Set(fCoefficients.GetSize());
|
---|
455 | f.fCoefficients.Reset();
|
---|
456 | f.fErrors.Set(fCoefficients.GetSize());
|
---|
457 | f.fErrors.Reset();
|
---|
458 |
|
---|
459 | // Result
|
---|
460 | f.fSignificance = fSignificance;
|
---|
461 | f.fSignificanceExc = fSignificanceExc;
|
---|
462 | f.fEventsExcess = fEventsExcess;
|
---|
463 | f.fEventsSignal = fEventsSignal;
|
---|
464 | f.fEventsBackground = fEventsBackground;
|
---|
465 | f.fChiSqSignal = fChiSqSignal;
|
---|
466 | f.fChiSqBg = fChiSqBg;
|
---|
467 | f.fIntegralMax = fIntegralMax;
|
---|
468 | f.fScaleFactor = fScaleFactor;
|
---|
469 |
|
---|
470 | // Function
|
---|
471 | TF1 *fcn = f.fFunc;
|
---|
472 | f.fFunc = new TF1(*fFunc);
|
---|
473 | f.fFunc->SetName("Dummy");
|
---|
474 | gROOT->GetListOfFunctions()->Remove(f.fFunc);
|
---|
475 | delete fcn;
|
---|
476 | }
|
---|
477 |
|
---|
478 | void MAlphaFitter::Print(Option_t *o) const
|
---|
479 | {
|
---|
480 | *fLog << GetDescriptor() << ": Fitting..." << endl;
|
---|
481 | *fLog << " ...signal to " << fSigMax << " (integrate into bin at " << fSigInt << ")" << endl;
|
---|
482 | *fLog << " ...signal function: ";
|
---|
483 | switch (fSignalFunc)
|
---|
484 | {
|
---|
485 | case kGauss: *fLog << "gauss(x)/pol" << fPolynomOrder; break;
|
---|
486 | case kThetaSq: *fLog << "gauss(sqrt(x))/expo"; break;
|
---|
487 | }
|
---|
488 | *fLog << endl;
|
---|
489 | if (!fFitBackground)
|
---|
490 | *fLog << " ...no background." << endl;
|
---|
491 | else
|
---|
492 | {
|
---|
493 | *fLog << " ...background from " << fBgMin << " to " << fBgMax << endl;
|
---|
494 | *fLog << " ...polynom order " << fPolynomOrder << endl;
|
---|
495 | *fLog << " ...scale mode: ";
|
---|
496 | switch (fScaleMode)
|
---|
497 | {
|
---|
498 | case kNone: *fLog << "none."; break;
|
---|
499 | case kEntries: *fLog << "entries."; break;
|
---|
500 | case kIntegral: *fLog << "integral."; break;
|
---|
501 | case kOffRegion: *fLog << "off region (integral between " << fScaleMin << " and " << fScaleMax << ")"; break;
|
---|
502 | case kBackground: *fLog << "background (integral between " << fBgMin << " and " << fBgMax << ")"; break;
|
---|
503 | case kLeastSquare: *fLog << "least square (N/A)"; break;
|
---|
504 | case kUserScale: *fLog << "user def (" << fScaleUser << ")"; break;
|
---|
505 | }
|
---|
506 | *fLog << endl;
|
---|
507 | }
|
---|
508 |
|
---|
509 | if (TString(o).Contains("result"))
|
---|
510 | {
|
---|
511 | *fLog << "Result:" << endl;
|
---|
512 | *fLog << " - Significance (Li/Ma) " << fSignificance << endl;
|
---|
513 | *fLog << " - Excess Events " << fEventsExcess << endl;
|
---|
514 | *fLog << " - Signal Events " << fEventsSignal << endl;
|
---|
515 | *fLog << " - Background Events " << fEventsBackground << endl;
|
---|
516 | *fLog << " - Chi^2/ndf (Signal) " << fChiSqSignal << endl;
|
---|
517 | *fLog << " - Chi^2/ndf (Background) " << fChiSqBg << endl;
|
---|
518 | *fLog << " - Signal integrated up to " << fIntegralMax << "°" << endl;
|
---|
519 | *fLog << " - Scale Factor (Off) " << fScaleFactor << endl;
|
---|
520 | }
|
---|
521 | }
|
---|
522 |
|
---|
523 | Bool_t MAlphaFitter::FitEnergy(const TH3D &hon, UInt_t bin, Bool_t paint)
|
---|
524 | {
|
---|
525 | const TString name(Form("TempAlphaEnergy%06d", gRandom->Integer(1000000)));
|
---|
526 | TH1D *h = hon.ProjectionZ(name, -1, 9999, bin, bin, "E");
|
---|
527 | h->SetDirectory(0);
|
---|
528 |
|
---|
529 | const Bool_t rc = Fit(*h, paint);
|
---|
530 | delete h;
|
---|
531 | return rc;
|
---|
532 | }
|
---|
533 |
|
---|
534 | Bool_t MAlphaFitter::FitTheta(const TH3D &hon, UInt_t bin, Bool_t paint)
|
---|
535 | {
|
---|
536 | const TString name(Form("TempAlphaTheta%06d", gRandom->Integer(1000000)));
|
---|
537 | TH1D *h = hon.ProjectionZ(name, bin, bin, -1, 9999, "E");
|
---|
538 | h->SetDirectory(0);
|
---|
539 |
|
---|
540 | const Bool_t rc = Fit(*h, paint);
|
---|
541 | delete h;
|
---|
542 | return rc;
|
---|
543 | }
|
---|
544 | /*
|
---|
545 | Bool_t MAlphaFitter::FitTime(const TH3D &hon, UInt_t bin, Bool_t paint)
|
---|
546 | {
|
---|
547 | const TString name(Form("TempAlphaTime%06d", gRandom->Integer(1000000)));
|
---|
548 |
|
---|
549 | hon.GetZaxis()->SetRange(bin,bin);
|
---|
550 | TH1D *h = (TH1D*)hon.Project3D("ye");
|
---|
551 | hon.GetZaxis()->SetRange(-1,9999);
|
---|
552 |
|
---|
553 | h->SetDirectory(0);
|
---|
554 |
|
---|
555 | const Bool_t rc = Fit(*h, paint);
|
---|
556 | delete h;
|
---|
557 | return rc;
|
---|
558 | }
|
---|
559 | */
|
---|
560 | Bool_t MAlphaFitter::FitAlpha(const TH3D &hon, Bool_t paint)
|
---|
561 | {
|
---|
562 | const TString name(Form("TempAlpha%06d", gRandom->Integer(1000000)));
|
---|
563 | TH1D *h = hon.ProjectionZ(name, -1, 9999, -1, 9999, "E");
|
---|
564 | h->SetDirectory(0);
|
---|
565 |
|
---|
566 | const Bool_t rc = Fit(*h, paint);
|
---|
567 | delete h;
|
---|
568 | return rc;
|
---|
569 | }
|
---|
570 |
|
---|
571 | Bool_t MAlphaFitter::FitEnergy(const TH3D &hon, const TH3D &hof, UInt_t bin, Bool_t paint)
|
---|
572 | {
|
---|
573 | const TString name1(Form("TempAlpha%06d_on", gRandom->Integer(1000000)));
|
---|
574 | const TString name0(Form("TempAlpha%06d_off", gRandom->Integer(1000000)));
|
---|
575 |
|
---|
576 | TH1D *h1 = hon.ProjectionZ(name1, -1, 9999, bin, bin, "E");
|
---|
577 | TH1D *h0 = hof.ProjectionZ(name0, -1, 9999, bin, bin, "E");
|
---|
578 | h1->SetDirectory(0);
|
---|
579 | h0->SetDirectory(0);
|
---|
580 |
|
---|
581 | const Bool_t rc = ScaleAndFit(*h1, h0, paint);
|
---|
582 |
|
---|
583 | delete h0;
|
---|
584 | delete h1;
|
---|
585 |
|
---|
586 | return rc;
|
---|
587 | }
|
---|
588 |
|
---|
589 | Bool_t MAlphaFitter::FitTheta(const TH3D &hon, const TH3D &hof, UInt_t bin, Bool_t paint)
|
---|
590 | {
|
---|
591 | const TString name1(Form("TempAlpha%06d_on", gRandom->Integer(1000000)));
|
---|
592 | const TString name0(Form("TempAlpha%06d_off", gRandom->Integer(1000000)));
|
---|
593 |
|
---|
594 | TH1D *h1 = hon.ProjectionZ(name1, bin, bin, -1, 9999, "E");
|
---|
595 | TH1D *h0 = hof.ProjectionZ(name0, bin, bin, -1, 9999, "E");
|
---|
596 | h1->SetDirectory(0);
|
---|
597 | h0->SetDirectory(0);
|
---|
598 |
|
---|
599 | const Bool_t rc = ScaleAndFit(*h1, h0, paint);
|
---|
600 |
|
---|
601 | delete h0;
|
---|
602 | delete h1;
|
---|
603 |
|
---|
604 | return rc;
|
---|
605 | }
|
---|
606 | /*
|
---|
607 | Bool_t MAlphaFitter::FitTime(const TH3D &hon, const TH3D &hof, UInt_t bin, Bool_t paint)
|
---|
608 | {
|
---|
609 | const TString name1(Form("TempAlphaTime%06d_on", gRandom->Integer(1000000)));
|
---|
610 | const TString name0(Form("TempAlphaTime%06d_off", gRandom->Integer(1000000)));
|
---|
611 |
|
---|
612 | hon.GetZaxis()->SetRange(bin,bin);
|
---|
613 | TH1D *h1 = (TH1D*)hon.Project3D("ye");
|
---|
614 | hon.GetZaxis()->SetRange(-1,9999);
|
---|
615 | h1->SetDirectory(0);
|
---|
616 |
|
---|
617 | hof.GetZaxis()->SetRange(bin,bin);
|
---|
618 | TH1D *h0 = (TH1D*)hof.Project3D("ye");
|
---|
619 | hof.GetZaxis()->SetRange(-1,9999);
|
---|
620 | h0->SetDirectory(0);
|
---|
621 |
|
---|
622 | const Bool_t rc = ScaleAndFit(*h1, h0, paint);
|
---|
623 |
|
---|
624 | delete h0;
|
---|
625 | delete h1;
|
---|
626 |
|
---|
627 | return rc;
|
---|
628 | }
|
---|
629 | */
|
---|
630 | Bool_t MAlphaFitter::FitAlpha(const TH3D &hon, const TH3D &hof, Bool_t paint)
|
---|
631 | {
|
---|
632 | const TString name1(Form("TempAlpha%06d_on", gRandom->Integer(1000000)));
|
---|
633 | const TString name0(Form("TempAlpha%06d_off", gRandom->Integer(1000000)));
|
---|
634 |
|
---|
635 | TH1D *h1 = hon.ProjectionZ(name1, -1, 9999, -1, 9999, "E");
|
---|
636 | TH1D *h0 = hof.ProjectionZ(name0, -1, 9999, -1, 9999, "E");
|
---|
637 | h1->SetDirectory(0);
|
---|
638 | h0->SetDirectory(0);
|
---|
639 |
|
---|
640 | const Bool_t rc = ScaleAndFit(*h1, h0, paint);
|
---|
641 |
|
---|
642 | delete h0;
|
---|
643 | delete h1;
|
---|
644 |
|
---|
645 | return rc;
|
---|
646 | }
|
---|
647 |
|
---|
648 | Double_t MAlphaFitter::Scale(TH1D &of, const TH1D &on) const
|
---|
649 | {
|
---|
650 | Float_t scaleon = 1;
|
---|
651 | Float_t scaleof = 1;
|
---|
652 | switch (fScaleMode)
|
---|
653 | {
|
---|
654 | case kNone:
|
---|
655 | return 1;
|
---|
656 |
|
---|
657 | case kEntries:
|
---|
658 | scaleon = on.GetEntries();
|
---|
659 | scaleof = of.GetEntries();
|
---|
660 | break;
|
---|
661 |
|
---|
662 | case kIntegral:
|
---|
663 | scaleon = on.Integral();
|
---|
664 | scaleof = of.Integral();
|
---|
665 | break;
|
---|
666 |
|
---|
667 | case kOffRegion:
|
---|
668 | {
|
---|
669 | const Int_t min = on.GetXaxis()->FindFixBin(fScaleMin);
|
---|
670 | const Int_t max = on.GetXaxis()->FindFixBin(fScaleMax);
|
---|
671 | scaleon = on.Integral(min, max);
|
---|
672 | scaleof = of.Integral(min, max);
|
---|
673 | }
|
---|
674 | break;
|
---|
675 |
|
---|
676 | case kBackground:
|
---|
677 | {
|
---|
678 | const Int_t min = on.GetXaxis()->FindFixBin(fBgMin);
|
---|
679 | const Int_t max = on.GetXaxis()->FindFixBin(fBgMax);
|
---|
680 | scaleon = on.Integral(min, max);
|
---|
681 | scaleof = of.Integral(min, max);
|
---|
682 | }
|
---|
683 | break;
|
---|
684 |
|
---|
685 | case kUserScale:
|
---|
686 | scaleon = fScaleUser;
|
---|
687 | break;
|
---|
688 |
|
---|
689 | // This is just to make some compiler happy
|
---|
690 | default:
|
---|
691 | return 1;
|
---|
692 | }
|
---|
693 |
|
---|
694 | if (scaleof!=0)
|
---|
695 | {
|
---|
696 | of.Scale(scaleon/scaleof);
|
---|
697 | return scaleon/scaleof;
|
---|
698 | }
|
---|
699 | else
|
---|
700 | {
|
---|
701 | of.Reset();
|
---|
702 | return 0;
|
---|
703 | }
|
---|
704 | }
|
---|
705 |
|
---|
706 | Double_t MAlphaFitter::GetMinimizationValue() const
|
---|
707 | {
|
---|
708 | switch (fStrategy)
|
---|
709 | {
|
---|
710 | case kSignificance:
|
---|
711 | return -GetSignificance();
|
---|
712 | case kSignificanceChi2:
|
---|
713 | return -GetSignificance()/GetChiSqSignal();
|
---|
714 | case kSignificanceLogExcess:
|
---|
715 | if (GetEventsExcess()<1)
|
---|
716 | return 0;
|
---|
717 | return -GetSignificance()*TMath::Log10(GetEventsExcess());
|
---|
718 | case kSignificanceExcess:
|
---|
719 | return -GetSignificance()*GetEventsExcess();
|
---|
720 | case kExcess:
|
---|
721 | return -GetEventsExcess();
|
---|
722 | case kGaussSigma:
|
---|
723 | return GetGausSigma();
|
---|
724 | case kWeakSource:
|
---|
725 | return GetEventsBackground()<1 ? -GetEventsExcess() : -GetEventsExcess()/TMath::Sqrt(GetEventsBackground());
|
---|
726 | }
|
---|
727 | return 0;
|
---|
728 | }
|
---|
729 |
|
---|
730 | Int_t MAlphaFitter::ReadEnv(const TEnv &env, TString prefix, Bool_t print)
|
---|
731 | {
|
---|
732 | Bool_t rc = kFALSE;
|
---|
733 |
|
---|
734 | //void SetScaleUser(Float_t scale) { fScaleUser = scale; fScaleMode=kUserScale; }
|
---|
735 | //void SetScaleMode(ScaleMode_t mode) { fScaleMode = mode; }
|
---|
736 |
|
---|
737 | if (IsEnvDefined(env, prefix, "SignalIntegralMax", print))
|
---|
738 | {
|
---|
739 | SetSignalIntegralMax(GetEnvValue(env, prefix, "SignalIntegralMax", fSigInt));
|
---|
740 | rc = kTRUE;
|
---|
741 | }
|
---|
742 | if (IsEnvDefined(env, prefix, "SignalFitMax", print))
|
---|
743 | {
|
---|
744 | SetSignalIntegralMax(GetEnvValue(env, prefix, "SignalFitMax", fSigMax));
|
---|
745 | rc = kTRUE;
|
---|
746 | }
|
---|
747 | if (IsEnvDefined(env, prefix, "BackgroundFitMax", print))
|
---|
748 | {
|
---|
749 | SetBackgroundFitMax(GetEnvValue(env, prefix, "BackgroundFitMax", fBgMax));
|
---|
750 | rc = kTRUE;
|
---|
751 | }
|
---|
752 | if (IsEnvDefined(env, prefix, "BackgroundFitMin", print))
|
---|
753 | {
|
---|
754 | SetBackgroundFitMin(GetEnvValue(env, prefix, "BackgroundFitMin", fBgMin));
|
---|
755 | rc = kTRUE;
|
---|
756 | }
|
---|
757 | if (IsEnvDefined(env, prefix, "ScaleMin", print))
|
---|
758 | {
|
---|
759 | SetScaleMin(GetEnvValue(env, prefix, "ScaleMin", fScaleMin));
|
---|
760 | rc = kTRUE;
|
---|
761 | }
|
---|
762 | if (IsEnvDefined(env, prefix, "ScaleMax", print))
|
---|
763 | {
|
---|
764 | SetScaleMax(GetEnvValue(env, prefix, "ScaleMax", fScaleMax));
|
---|
765 | rc = kTRUE;
|
---|
766 | }
|
---|
767 | if (IsEnvDefined(env, prefix, "PolynomOrder", print))
|
---|
768 | {
|
---|
769 | SetPolynomOrder(GetEnvValue(env, prefix, "PolynomOrder", fPolynomOrder));
|
---|
770 | rc = kTRUE;
|
---|
771 | }
|
---|
772 |
|
---|
773 | if (IsEnvDefined(env, prefix, "MinimizationStrategy", print))
|
---|
774 | {
|
---|
775 | TString txt = GetEnvValue(env, prefix, "MinimizationStrategy", "");
|
---|
776 | txt = txt.Strip(TString::kBoth);
|
---|
777 | txt.ToLower();
|
---|
778 | if (txt==(TString)"significance")
|
---|
779 | fStrategy = kSignificance;
|
---|
780 | if (txt==(TString)"significancechi2")
|
---|
781 | fStrategy = kSignificanceChi2;
|
---|
782 | if (txt==(TString)"significanceexcess")
|
---|
783 | fStrategy = kSignificanceExcess;
|
---|
784 | if (txt==(TString)"excess")
|
---|
785 | fStrategy = kExcess;
|
---|
786 | if (txt==(TString)"gausssigma" || txt==(TString)"gaussigma")
|
---|
787 | fStrategy = kGaussSigma;
|
---|
788 | if (txt==(TString)"weaksource")
|
---|
789 | fStrategy = kWeakSource;
|
---|
790 | rc = kTRUE;
|
---|
791 | }
|
---|
792 | if (IsEnvDefined(env, prefix, "Scale", print))
|
---|
793 | {
|
---|
794 | fScaleUser = GetEnvValue(env, prefix, "Scale", fScaleUser);
|
---|
795 | rc = kTRUE;
|
---|
796 | }
|
---|
797 | if (IsEnvDefined(env, prefix, "ScaleMode", print))
|
---|
798 | {
|
---|
799 | TString txt = GetEnvValue(env, prefix, "ScaleMode", "");
|
---|
800 | txt = txt.Strip(TString::kBoth);
|
---|
801 | txt.ToLower();
|
---|
802 | if (txt==(TString)"none")
|
---|
803 | fScaleMode = kNone;
|
---|
804 | if (txt==(TString)"entries")
|
---|
805 | fScaleMode = kEntries;
|
---|
806 | if (txt==(TString)"integral")
|
---|
807 | fScaleMode = kIntegral;
|
---|
808 | if (txt==(TString)"offregion")
|
---|
809 | fScaleMode = kOffRegion;
|
---|
810 | if (txt==(TString)"background")
|
---|
811 | fScaleMode = kBackground;
|
---|
812 | if (txt==(TString)"leastsquare")
|
---|
813 | fScaleMode = kLeastSquare;
|
---|
814 | if (txt==(TString)"userscale")
|
---|
815 | fScaleMode = kUserScale;
|
---|
816 | if (txt==(TString)"fixed")
|
---|
817 | {
|
---|
818 | fScaleMode = kUserScale;
|
---|
819 | fScaleUser = fScaleFactor;
|
---|
820 | }
|
---|
821 | rc = kTRUE;
|
---|
822 | }
|
---|
823 | if (IsEnvDefined(env, prefix, "SignalFunction", print))
|
---|
824 | {
|
---|
825 | TString txt = GetEnvValue(env, prefix, "SignalFunction", "");
|
---|
826 | txt = txt.Strip(TString::kBoth);
|
---|
827 | txt.ToLower();
|
---|
828 | if (txt==(TString)"gauss" || txt==(TString)"gaus")
|
---|
829 | SetSignalFunction(kGauss);
|
---|
830 | if (txt==(TString)"thetasq")
|
---|
831 | SetSignalFunction(kThetaSq);
|
---|
832 | rc = kTRUE;
|
---|
833 | }
|
---|
834 |
|
---|
835 | return rc;
|
---|
836 | }
|
---|