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 | ! Author(s): Javier Rico 02/2005 <mailto:jrico@ifae.es>
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18 | !
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19 | ! Copyright: MAGIC Software Development, 2000-2005
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20 | !
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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 | // Computes the Effective areas and coefficients for unfolding for a given
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27 | // spectrum that can be parametrized by a function
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28 | //
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29 | //////////////////////////////////////////////////////////////////////////////
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30 |
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31 | #include <fstream>
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32 | #include <math.h>
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33 |
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34 | #include "MEffAreaAndCoeffCalc.h"
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35 |
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36 | #include "TF1.h"
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37 | #include "MHillas.h"
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38 | #include "MMcEvt.hxx"
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39 | #include "TH2F.h"
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40 | #include "TFile.h"
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41 |
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42 | #include "MLog.h"
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43 | #include "MLogManip.h"
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44 |
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45 | ClassImp(MEffAreaAndCoeffCalc);
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46 |
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47 | using namespace std;
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48 |
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49 | const Int_t ntbins=1; // default number of theta bins
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50 | const Double_t tbin[ntbins+1] = {0,90}; // default theta bins bounds
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51 | const Int_t nebins = 10; // default number of energy bins
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52 | const Float_t emin = 10.; // default minimum energy value
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53 | const Float_t emax = 10000.; // default maximum energy value
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54 | const Int_t nsubbins = 20; // default number of subbins per bin
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55 | const Char_t* deff = "4.e9*pow(x,-2.6+1)"; // default spectrum function
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56 |
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57 | // -------------------------------------------------------------------------
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58 | //
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59 | // Constructor
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60 | //
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61 | MEffAreaAndCoeffCalc::MEffAreaAndCoeffCalc()
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62 | : fSpec(NULL), fEmin(emin), fEmax(emax), fEbins(nebins), fEsubbins(nsubbins),
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63 | fWeight(NULL), fCoeff(NULL), fEffA(NULL)//, fFile(NULL)
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64 | {
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65 | // set the default function
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66 | SetFunction(deff);
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67 |
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68 | // create the TChains
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69 | fCini = new TChain("OriginalMC");
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70 | fCcut = new TChain("Events");
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71 |
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72 | // define some useful aliases
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73 | fCini->SetAlias("logenergy","log10(MMcEvtBasic.fEnergy)");
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74 | fCini->SetAlias("theta","MMcEvtBasic.fTelescopeTheta*180./3.14159");
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75 |
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76 | fCcut->SetAlias("logenergy","log10(MMcEvt.fEnergy)");
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77 | fCcut->SetAlias("theta","MMcEvt.fTelescopeTheta*180./3.14159");
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78 |
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79 | fCcut->SetBranchAddress("MHillas.",&fHillas);
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80 | fCcut->SetBranchAddress("MMcEvt.",&fMcEvt);
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81 |
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82 | // initial value of the zenith angle binning
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83 | SetThetaBinning(ntbins,tbin);
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84 |
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85 | // borra
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86 | // fFile = new TFile("coeftest.root","RECREATE");
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87 | }
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88 |
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89 | // -------------------------------------------------------------------------
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90 | //
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91 | // Destructor
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92 | //
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93 | MEffAreaAndCoeffCalc::~MEffAreaAndCoeffCalc()
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94 | {
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95 | if(fSpec)
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96 | delete fSpec;
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97 |
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98 | if(fTbin)
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99 | delete [] fTbin;
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100 |
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101 | if(fWeight)
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102 | delete [] fWeight;
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103 |
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104 | if(fCoeff)
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105 | delete fCoeff;
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106 |
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107 | if(fEffA)
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108 | delete fEffA;
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109 |
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110 |
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111 | delete fCini;
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112 | delete fCcut;
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113 | }
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114 |
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115 | // -------------------------------------------------------------------------
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116 | //
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117 | // Set the binning in zenith angle
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118 | //
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119 | void MEffAreaAndCoeffCalc::SetThetaBinning(Int_t n, const Double_t* binlist)
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120 | {
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121 | fNTbins=n;
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122 | if(fTbin) delete [] fTbin;
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123 | fTbin = new Double_t[n+1];
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124 | for(Int_t i=0;i<n+1;i++)
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125 | fTbin[i] = binlist[i];
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126 | }
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127 |
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128 | // -------------------------------------------------------------------------
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129 | //
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130 | // Set the function by expression and minimum and maximum energies
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131 | //
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132 | void MEffAreaAndCoeffCalc::SetFunction(const Char_t* chfunc, Float_t emin, Float_t emax)
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133 | {
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134 | if(fSpec)
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135 | delete fSpec;
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136 | if(emin<=0 || emax<=0 || emax<emin)
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137 | {
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138 | emin = fEmin;
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139 | emax = fEmax;
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140 | }
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141 | else
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142 | {
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143 | fEmin = emin;
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144 | fEmax = emax;
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145 | }
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146 | fSpec = new TF1("fspec",chfunc,emin,emax);
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147 | }
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148 |
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149 | // -------------------------------------------------------------------------
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150 | //
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151 | // Set the function by function pointer
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152 | //
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153 | void MEffAreaAndCoeffCalc::SetFunction(TF1* newf)
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154 | {
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155 | if(fSpec)
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156 | delete fSpec;
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157 | fSpec = newf;
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158 | }
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159 |
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160 | // -------------------------------------------------------------------------
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161 | //
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162 | // fill the histogram containing the original sample energy spectrum
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163 | //
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164 | void MEffAreaAndCoeffCalc::FillOriginalSpectrum()
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165 | {
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166 | }
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167 |
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168 | // -------------------------------------------------------------------------
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169 | //
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170 | // compute the weights for a particular input spectrum
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171 | //
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172 | void MEffAreaAndCoeffCalc::ComputeWeights()
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173 | {
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174 | // OJO!! maybe this should be hard-coded somewhere else
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175 | const Float_t abslogmin=0.;
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176 | const Float_t abslogmax=5.;
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177 |
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178 | const Float_t logemin = TMath::Log10(fEmin);
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179 | const Float_t logemax = TMath::Log10(fEmax);
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180 | const Float_t de = (logemax-logemin)/fEbins; // bin size (in log)
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181 | const Float_t desub = de/fEsubbins; // subbin size (in log)
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182 | const Int_t esbins = fEbins*fEsubbins; // total number of subbins
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183 |
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184 | // compute the binning for weights histogram
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185 | const Int_t nmindist = (logemin>abslogmin)? Int_t((logemin-abslogmin)/desub) : 0;
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186 | const Int_t nmaxdist = (logemax<abslogmax)? Int_t((abslogmax-logemax)/desub) : 0;
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187 |
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188 | fLogEWmin = logemin-desub*nmindist;
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189 | fLogEWmax = logemax+desub*nmaxdist;
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190 | fEWbins = nmindist+esbins+nmaxdist;
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191 |
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192 | // reset the weights array
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193 | if(fWeight)
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194 | delete [] fWeight;
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195 | fWeight = new Double_t[fEWbins];
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196 |
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197 |
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198 | TH1F* horigs = new TH1F("horigs","Original energy spectrum",fEWbins,fLogEWmin,fLogEWmax);
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199 | fCini->Draw("logenergy>>horigs","","goff");
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200 | // borra
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201 | // horigs->Write();
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202 |
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203 | // borra
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204 | // TH1F hw("hw","hw",fEWbins,fLogEWmin,fLogEWmax);
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205 | for(Int_t i=0;i<fEWbins;i++)
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206 | {
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207 | const Float_t denom = horigs->GetBinContent(i+1); // number of events in initial spectrum
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208 | const Float_t ew = TMath::Power(10,fLogEWmin+(i+0.5)*desub); // real energy
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209 | const Float_t numer = fSpec->Eval(ew); // number of events for the required spectrum
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210 | if(denom>10)
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211 | fWeight[i]=numer/denom;
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212 | else
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213 | {
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214 | // cout << "MEffAreaAndCoeffCalc::ComputeWeights Warning: no statistic to compute weight for energy " << ew << ", setting it to -1 " << endl;
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215 | fWeight[i]=-1;
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216 | }
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217 | // borra
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218 | // hw.SetBinContent(i+1,fWeight[i]);
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219 | }
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220 | // borra
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221 | // hw.Write();
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222 |
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223 | delete horigs;
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224 | }
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225 |
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226 | // --------------------------------------------------------------
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227 | //
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228 | // compute the coefficients used for the (iterative) unfolding
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229 | //
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230 | void MEffAreaAndCoeffCalc::ComputeCoefficients()
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231 | {
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232 | if(!fWeight)
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233 | {
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234 | cout << "MEffAreaAndCoeffCalc::ComputeCoefficients Warning: No weights computed! nothing done" << endl;
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235 | return;
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236 | }
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237 |
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238 | const Float_t logemin = TMath::Log10(fEmin);
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239 | const Float_t logemax = TMath::Log10(fEmax);
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240 | const Float_t de = (logemax-logemin)/fEbins; // bin size (in log)
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241 | const Float_t desub = de/fEsubbins; // subbin size (in log)
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242 | const Int_t nentries = Int_t(fCcut->GetEntries());
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243 |
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244 | // declare needed histos
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245 | TH2F* hest = new TH2F("hest","Estimated energy",fEbins,logemin,logemax,fNTbins,fTbin);
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246 | TH2F* hmc = new TH2F("hmc","MC energy",fEbins,logemin,logemax,fNTbins,fTbin);
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247 |
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248 | // borra
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249 | // TH1F* hest1 = new TH1F("hest1","Estimated energy",fEbins,logemin,logemax);
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250 | // TH1F* hmc1 = new TH1F("hmc1","MC energy",fEbins,logemin,logemax);
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251 | // TH1F* coef1 = new TH1F("coef1","coefficients",fEbins,logemin,logemax);
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252 |
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253 | // reset the coefficients
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254 | if(fCoeff)
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255 | delete fCoeff;
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256 | fCoeff = new TH2F("fcoeff","Coefficients for unfolding",fEbins,logemin,logemax,fNTbins,fTbin);
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257 |
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258 | // fill the histograms of estimated and measured energy for weighted events
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259 | for(Int_t i=0;i<nentries;i++)
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260 | {
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261 | fCcut->GetEntry(i);
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262 |
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263 | // mc and estimated energy
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264 | // OJO!! Estimated energy will be taken directly from some input container
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265 | Float_t emc = fMcEvt->GetEnergy();
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266 | Float_t estim = fHillas->GetSize()/0.18/15.;
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267 |
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268 | if((emc<fEmin && estim<fEmin) || (emc>fEmax && estim>fEmax) ||
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269 | (emc<fEmin && estim>fEmax) || (emc>fEmax && estim<fEmin))
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270 | continue;
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271 |
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272 | Float_t theta = fMcEvt->GetTheta()*180./3.14159; // zenith angle (in degrees)
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273 |
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274 | // compute the bin where the weight is taken from
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275 | Int_t wbin = Int_t((TMath::Log10(emc)-fLogEWmin)/desub);
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276 |
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277 | // fill the histograms
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278 | if(wbin<fEWbins)
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279 | {
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280 | if(fWeight[wbin]>0)
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281 | {
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282 | hest->Fill(TMath::Log10(estim),theta,fWeight[wbin]);
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283 | hmc->Fill(TMath::Log10(emc),theta,fWeight[wbin]);
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284 | // borra
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285 | // if(theta<fTbin[1])
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286 | // {
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287 | // hest1->Fill(TMath::Log10(estim),fWeight[wbin]);
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288 | // hmc1->Fill(TMath::Log10(emc),fWeight[wbin]);
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289 | // }
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290 | }
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291 | else
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292 | cout << "MEffAreaAndCoeffCalc::ComputeCoefficients Warning: event " << i << " with energy " << emc << " has no computed weight (lack of MC statistics), skipping" << endl;
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293 | }
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294 | else
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295 | cout << "MEffAreaAndCoeffCalc::ComputeCoefficients Warning: event " << i << " with energy " << emc << " has energy out of bounds, skipping" << endl;
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296 | }
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297 |
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298 | // divide the previous histos to get the coefficients for unfolding
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299 | for(Int_t j=0;j<fNTbins;j++)
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300 | for(Int_t i=0;i<fEbins;i++)
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301 | {
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302 | const Float_t num = hmc->GetBinContent(i+1,j+1);
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303 | const Float_t den = hest->GetBinContent(i+1,j+1);
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304 | //borra
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305 | // const Float_t num1 = hmc1->GetBinContent(i+1);
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306 | // const Float_t den1 = hest1->GetBinContent(i+1);
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307 | if(den)
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308 | {
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309 | fCoeff->SetBinContent(i+1,j+1,num/den);
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310 | //borra
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311 | // if(j==0 && den1)
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312 | // coef1->SetBinContent(i+1,num1/den1);
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313 | }
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314 | else
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315 | {
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316 | cout << "MEffAreaAndCoeffCalc::ComputeCoefficients Warning: energy bin " << i << ", thetabin " << j << " has no survivors, setting coefficient to 0" << endl;
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317 | fCoeff->SetBinContent(i+1,j+1,0.);
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318 | }
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319 | }
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320 |
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321 |
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322 | //borra
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323 | // hmc1->Write();
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324 | // hest1->Write();
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325 | // coef1->Write();
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326 |
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327 | delete hmc;
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328 | delete hest;
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329 | }
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330 |
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331 | // --------------------------------------------------------------
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332 | //
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333 | // compute the coefficients used for the (iterative) unfolding
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334 | //
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335 | void MEffAreaAndCoeffCalc::ComputeEffectiveAreas()
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336 | {
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337 | if(!fWeight)
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338 | {
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339 | cout << "MEffAreaAndCoeffCalc::ComputeEffectiveAreas Warning: No weights computed! nothing done" << endl;
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340 | return;
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341 | }
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342 |
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343 | //OJO!! radius should be read from somewhere!
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344 | const Float_t radius = 30000.; // generation radius (in cm)
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345 | const Float_t Atot = 3.14159*radius*radius; //total area (in cm^2)
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346 | const Float_t logemin = TMath::Log10(fEmin);
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347 | const Float_t logemax = TMath::Log10(fEmax);
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348 | const Int_t esbins = fEbins*fEsubbins; // total number of subbins
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349 | const Float_t de = (logemax-logemin)/fEbins; // bin size (in log)
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350 | const Float_t desub = de/fEsubbins; // subbin size (in log)
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351 |
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352 | // reset the effective areas
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353 | if(fEffA)
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354 | delete fEffA;
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355 | fEffA = new TH2F("feffa","Effective area",fEbins,logemin,logemax,fNTbins,fTbin);
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356 | //borra
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357 | // TH1F eff("eff","Effective area",fEbins,logemin,logemax);
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358 |
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359 | // fill the spectrum of the survivors
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360 | TH2F* hpass= new TH2F("hpass","Survivors",esbins,logemin,logemax,fNTbins,fTbin);
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361 | TH2F* horig= new TH2F("horig","Original events",esbins,logemin,logemax,fNTbins,fTbin);
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362 |
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363 | fCcut->Draw("theta:logenergy>>hpass","","goff");
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364 | fCini->Draw("theta:logenergy>>horig","","goff");
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365 |
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366 | // compute the effective areas
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367 | for(Int_t j=0;j<fNTbins;j++)
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368 | for(Int_t i=0;i<fEbins;i++)
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369 | {
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370 | Float_t effarea =0;
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371 | Float_t wtot = 0;
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372 | for(Int_t k=0;k<fEsubbins;k++)
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373 | {
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374 | Float_t numerator = hpass->GetBinContent(i*fEsubbins+k+1,j+1);
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375 | Float_t denominator = horig->GetBinContent(i*fEsubbins+k+1,j+1);
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376 |
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377 | if(denominator<=0)
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378 | cout << "MEffAreaAndCoeffCalc::ComputeEffectiveAreas Warning: energy subbin " << i*fEsubbins+k <<", theta bin " << j << " contains no events" << endl;
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379 | else
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380 | {
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381 | const Float_t ew = TMath::Power(10,logemin+(i*fEsubbins+k+0.5)*desub);
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382 | const Float_t ww = fSpec->Eval(ew);
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383 | effarea+=Atot*numerator/denominator*ww;
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384 | wtot += ww;
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385 | }
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386 | }
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387 | if(!wtot)
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388 | {
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389 | cout << "MEffAreaAndCoeffCalc::ComputeEffectiveAreas Warning: energy bin " << i <<", theta bin " << j << " contains no events setting effective area to 0" << endl;
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390 | fEffA->SetBinContent(i+1,j+1,0);
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391 | }
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392 | else
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393 | {
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394 | fEffA->SetBinContent(i+1,j+1,effarea/wtot);
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395 | // borra
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396 | // if(j==0)
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397 | // {
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398 | // // cout << "*****" << i << ": " << effarea/wtot << endl;
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399 | // eff.SetBinContent(i+1,effarea/wtot);
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400 | // }
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401 | }
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402 | }
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403 |
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404 | // borra
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405 | // eff.Write();
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406 |
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407 | delete hpass;
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408 | delete horig;
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409 | }
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410 |
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411 | // --------------------------------------------------------------
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412 | //
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413 | // Call the internal functions to compute all the factors
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414 | //
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415 | void MEffAreaAndCoeffCalc::ComputeAllFactors()
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416 | {
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417 | ComputeWeights();
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418 | ComputeCoefficients();
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419 | ComputeEffectiveAreas();
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420 | }
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