1 | #include "MCascade.h"
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2 |
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3 | #include <math.h> // fabs, for alpha
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4 | #include <iostream.h>
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5 |
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6 | #include <TF1.h>
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7 | #include <TH2.h>
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8 | #include <TList.h>
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9 | #include <TFile.h>
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10 | #include <TTree.h>
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11 | #include <TTimer.h>
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12 | #include <TStyle.h>
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13 | #include <TBranch.h>
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14 | #include <TCanvas.h>
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15 | #include <TRandom3.h>
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16 | #include <TStopwatch.h>
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17 |
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18 | #include "MPhoton.h"
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19 | #include "MElectron.h"
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20 |
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21 | #include "MH.h"
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22 | #include "MBinning.h"
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23 |
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24 | ClassImp(MCascade);
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25 |
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26 | Double_t PrimSpect(Double_t *x, Double_t *k)
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27 | {
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28 | return pow(pow(10, x[0]), k[0]);
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29 | }
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30 |
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31 | Double_t PhotonSpect(Double_t *x, Double_t *k=NULL)
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32 | {
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33 | Double_t Ep = pow(10, x[0]);
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34 |
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35 | Double_t res = MPhoton::Int2(&Ep, k);
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36 | return res*1e55; //65/k[0];
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37 |
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38 | //return MPhoton::Planck(&Ep, &k[1]);
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39 | }
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40 |
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41 | Double_t Sbar_sigmas(Double_t *x, Double_t *k)
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42 | {
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43 | Double_t sbar = pow(10, x[0]);
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44 |
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45 | Double_t s = 1./(sbar*4);
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46 |
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47 | Double_t sigma = MPhoton::Sigma_gg(&s);
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48 |
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49 | return sigma*sbar*1e28;
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50 | }
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51 |
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52 | Double_t RandomThetaG(Double_t Eg, Double_t Ep)
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53 | {
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54 | Double_t E0 = 511e-6; // [GeV]
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55 |
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56 | Double_t f = Eg/E0*Ep/E0;
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57 |
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58 | if (f<1)
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59 | return 0;
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60 |
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61 | static TF1 func("RndThetaG", Sbar_sigmas, 0, 0, 0);
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62 |
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63 | func.SetRange(0, log10(f));
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64 | func.SetNpx(50);
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65 |
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66 | Double_t sbar = pow(10, func.GetRandom());
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67 | Double_t theta = acos(1.-sbar*2/f);
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68 |
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69 | return theta;
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70 | }
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71 |
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72 | Double_t MCascade::GetEnergy()
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73 | {
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74 | static int bin=0;
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75 | Double_t w = log10(fEHi/fELo)/fNumBins;
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76 |
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77 | Double_t E = fELo*pow(10, gRandom->Uniform(w) + w*(fNumBins-bin-1));
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78 |
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79 | if (++bin==fNumBins)
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80 | bin=0;
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81 |
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82 | return E;
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83 | }
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84 |
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85 | TFile *MCascade::OpenFile(TString fFilename)
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86 | {
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87 | TFile *fFile = new TFile(fFilename, "CREATE", "Intergalactic cascade", 9);
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88 |
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89 | if (fFile->IsZombie())
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90 | {
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91 | delete fFile;
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92 | return NULL;
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93 | }
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94 |
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95 | Write("Setup");
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96 |
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97 | cout << "Trees... " << flush;
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98 |
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99 | TTree *T1 = new TTree ("Photons", "Photons from Cascade");
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100 | TTree *T2 = new TTree ("Electrons", "Electrons in the Cascade");
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101 |
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102 | cout << "Branches... " << flush;
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103 |
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104 | MPhoton dummyp;
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105 | void *ptr = &dummyp;
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106 | fBranchGammas = T1->Branch("MPhoton.", "MPhoton", &ptr);
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107 |
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108 | MElectron dummye;
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109 | ptr = &dummye;
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110 | fBranchElectrons = T2->Branch("MElectron.", "MElectron", &ptr);
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111 |
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112 | return fFile;
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113 | }
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114 |
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115 | void MCascade::CloseFile(TFile *fFile)
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116 | {
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117 | fFile->Write();
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118 | cout << "Wrote: " << fFile->GetName() << endl;
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119 | delete fFile;
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120 | }
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121 |
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122 | void MCascade::ProcessElectron(MElectron &e, TList &fListGammas)
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123 | {
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124 | Double_t Ee = e.GetEnergy();
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125 |
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126 | cout << ":" << flush;
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127 |
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128 | int test = fNumMaxInvCompton<0 ? -1 : 0;
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129 | int n=0;
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130 | while ((test<0 ? true : (test++<fNumMaxInvCompton)) &&
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131 | (e.GetEnergy() > fRatioInvCompton*Ee))
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132 | {
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133 | n++;
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134 |
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135 | if (!e.SetNewPositionB(e.GetZ()>fBubbleZ ? fB : 0))
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136 | {
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137 | cout << "!" << flush;
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138 | return;
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139 | }
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140 |
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141 | MPhoton *p = e.DoInvCompton();
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142 |
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143 | fBranchElectrons->GetTree()->Fill();
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144 |
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145 | //cout << "." << flush;
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146 | fListGammas.Add(p);
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147 |
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148 | if (fabs(e.GetTheta()*3437)>60) // < 60min
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149 | {
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150 | cout << "T" << flush;
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151 | return;
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152 | }
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153 |
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154 | if (e.GetEnergy()<Ee*1e-3) // <2e3
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155 | {
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156 | cout << "E" << flush;
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157 | return;
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158 | }
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159 |
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160 | if (e.GetEnergy()<1e2)
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161 | {
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162 | cout << "x" << flush;
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163 | return;
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164 | }
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165 | }
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166 | cout << n << flush;
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167 | }
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168 |
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169 | Bool_t MCascade::ProcessGamma(MPhoton &p, Double_t weight, TList &fListElectrons)
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170 | {
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171 | Double_t Eg = p.GetEnergy();
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172 |
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173 | Double_t E0 = 511e-6;
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174 | Double_t z = p.GetZ()+1;
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175 | Double_t lolim = E0*E0/Eg;
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176 | Double_t inf = (Eg<1e6 ? 3e-11*z : 3e-12*z);
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177 | if (Eg<5e4)
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178 | inf = 3e-11*z*pow(10, 9.4-log10(Eg)*2);
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179 |
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180 | TF1 phot("PhotonSpectrum", PhotonSpect, 0, 0, 2);
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181 | phot.SetRange(log10(lolim), log10(inf));
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182 | phot.SetNpx(50);
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183 | phot.SetParameter(0, Eg);
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184 | while (1)
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185 | {
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186 | if (!p.SetNewPosition())
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187 | return kTRUE;
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188 |
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189 | //
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190 | // Sample phtoton from background and interaction angle
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191 | //
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192 | phot.SetParameter(1, p.GetZ());
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193 | Double_t pe = phot.GetRandom();
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194 | if (pe==0)
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195 | {
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196 | cout << "z" << flush;
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197 | continue;
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198 | }
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199 |
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200 | Double_t Ep = pow(10, pe);
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201 | Double_t theta = RandomThetaG(Eg, Ep);
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202 | if (theta==0)
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203 | {
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204 | cout << "t" << flush;
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205 | continue;
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206 | }
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207 |
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208 | if (!fPair.Process(&p, Ep, theta, &fListElectrons))
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209 | {
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210 | // should never happen
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211 | cout << "0" << flush;
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212 | continue;
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213 | }
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214 |
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215 | return kFALSE;
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216 | }
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217 | }
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218 |
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219 | Double_t MCascade::ProcessGammas(TList &fListGammas, TList &fListElectrons, Double_t weight)
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220 | {
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221 | Double_t Esum = 0;
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222 |
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223 | MPhoton *p = NULL;
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224 | fBranchGammas->SetAddress(&p);
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225 |
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226 | cout << ":" << fListGammas.GetSize() << ":" << flush;
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227 |
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228 | TIter NextP(&fListGammas);
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229 | while ((p=(MPhoton*)NextP()))
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230 | {
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231 | if (!ProcessGamma(*p, weight, fListElectrons))
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232 | {
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233 | delete fListGammas.Remove(p);
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234 | cout << "." << flush;
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235 | continue;
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236 | }
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237 |
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238 | fBranchGammas->GetTree()->Fill();
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239 | Esum += p->GetEnergy();
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240 | //cout << "!" << flush;
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241 | }
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242 |
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243 | return Esum;
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244 | }
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245 |
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246 | Double_t MCascade::ProcessElectrons(TList &fListElectrons, TList &fListGammas)
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247 | {
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248 | Double_t E = 0;
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249 |
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250 | cout << ":" << fListElectrons.GetSize() << flush;
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251 |
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252 | TIter Next(&fListElectrons);
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253 | MElectron *e = NULL;
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254 | fBranchElectrons->SetAddress(&e);
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255 | while ((e=(MElectron*)Next()))
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256 | {
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257 | e->SetIsPrimary(kTRUE);
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258 | fBranchElectrons->GetTree()->Fill();
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259 | e->SetIsPrimary(kFALSE);
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260 |
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261 | ProcessElectron(*e, fListGammas);
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262 |
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263 | E += e->GetEnergy();
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264 | }
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265 | fListElectrons.Delete();
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266 |
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267 | return E;
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268 | }
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269 |
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270 | void MCascade::ProcessPrimaryGamma(Double_t E, Double_t weight)
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271 | {
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272 | TList fListGammas;
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273 | TList fListElectrons;
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274 |
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275 | fListGammas.SetOwner();
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276 | fListElectrons.SetOwner();
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277 |
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278 | MPhoton *gamma=new MPhoton(E, fSrcZ);
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279 | gamma->SetSrcR(fSrcR);
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280 | gamma->InitRandom();
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281 | fListGammas.Add(gamma);
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282 |
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283 | gamma->SetIsPrimary(kTRUE);
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284 | fBranchGammas->SetAddress(&gamma);
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285 | fBranchGammas->GetTree()->Fill();
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286 | gamma->SetIsPrimary(kFALSE);
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287 |
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288 | Double_t Esum=0; // sum of all energies
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289 | Double_t Emis=0; // sum of the energies thrown away
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290 | while (1)
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291 | {
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292 | if (fListGammas.GetSize()==0)
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293 | break;
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294 |
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295 | cout << " |P" << flush;
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296 |
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297 | Esum += ProcessGammas(fListGammas, fListElectrons, weight);
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298 |
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299 | if (!fIsBatch)
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300 | fListGammas.ForEach(MPhoton, Fill)(fHist, fDisplayIndex, weight);
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301 | fListGammas.Delete();
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302 |
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303 | if (fListElectrons.GetSize()==0)
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304 | break;
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305 |
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306 | cout << " |E" << flush;
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307 |
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308 | Emis += ProcessElectrons(fListElectrons, fListGammas);
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309 | }
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310 | Esum += Emis;
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311 |
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312 | cout << " ----> " << Form("%3.1f %3.1e / %3.1f %3.1e", Emis/E, Emis, Esum/E, Esum) << endl;
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313 | }
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314 |
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315 | MCascade::MCascade()
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316 | {
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317 | if (gRandom)
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318 | delete gRandom;
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319 |
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320 | TRandom r(0);
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321 | gRandom = new TRandom3(r.GetSeed());
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322 |
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323 | fHist.SetName("Spectrum");
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324 | fHist.SetXTitle("E [GeV]");
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325 | fHist.SetYTitle(Form("E^{%.1f} Counts", fDisplayIndex));
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326 | fHist.GetXaxis()->SetLabelOffset(-0.015);
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327 | fHist.GetXaxis()->SetTitleOffset(1.1);
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328 | fHist.SetFillStyle(0);
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329 | fHist.SetMarkerStyle(kPlus);
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330 | }
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331 |
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332 | MCascade::~MCascade()
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333 | {
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334 | delete gRandom;
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335 | gRandom = 0;
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336 | }
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337 |
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338 | void MCascade::SetSourceZ(Double_t z)
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339 | {
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340 | fSrcZ = z;
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341 | fSrcR = MParticle::RofZ(&z);
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342 | }
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343 |
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344 | void MCascade::SetSourceRZ(Double_t r) // [kpc]
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345 | {
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346 | fSrcZ = MParticle::ZofR(&r);
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347 | fSrcR = r;
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348 | }
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349 |
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350 | void MCascade::SetEnergyBins(Int_t n, Double_t lo, Double_t hi)
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351 | {
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352 | fNumBins = n; // number of bins produced in energy spectrum
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353 |
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354 | fELo = lo; // lower limit of displayed spectrum
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355 | fEHi = hi; // upper limit of spectrum (cutoff)
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356 | }
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357 |
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358 | void MCascade::SetBradius(Double_t r) // [Mpc]
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359 | {
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360 | Double_t bubbler = fSrcR-1e3*r;
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361 | fBubbleZ = MParticle::ZofR(&bubbler);
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362 | }
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363 |
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364 | void MCascade::Run(TString filename, Bool_t draw)
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365 | {
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366 | fIsBatch = gROOT->IsBatch() ? kFALSE : draw;
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367 |
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368 | // ------------------------------
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369 |
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370 | cout << "Output File '" << filename << "'... " << flush;
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371 |
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372 | TFile *file=OpenFile(filename);
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373 | if (!file)
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374 | return;
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375 |
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376 | // ------------------------------
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377 |
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378 | cout << endl;
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379 |
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380 | cout << "R = " << fSrcR << "kpc" << endl;
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381 | cout << "Z = " << fSrcZ << endl;
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382 |
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383 | cout << "Setting up: Histograms... " << flush;
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384 |
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385 | fHist.Reset();
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386 | TH1D histsrc;
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387 |
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388 | MBinning bins;
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389 | bins.SetEdgesLog(fNumBins, fELo, fEHi);
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390 |
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391 | MH::SetBinning(&fHist, &bins);
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392 | MH::SetBinning(&histsrc, &bins);
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393 |
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394 | TCanvas *c=NULL;
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395 |
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396 | if (!fIsBatch)
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397 | {
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398 | fHist.SetMinimum(pow(fELo, fSpectralIndex+fDisplayIndex)/100);
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399 | histsrc.SetMinimum(pow(fELo, fSpectralIndex+fDisplayIndex)/100);
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400 |
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401 | gStyle->SetOptStat(10);
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402 |
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403 | //
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404 | // Don't change the order!!!
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405 | //
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406 | histsrc.SetFillStyle(0);
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407 | histsrc.SetMarkerStyle(kMultiply);
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408 | histsrc.SetMarkerColor(kRed);
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409 | histsrc.SetLineColor(kRed);
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410 |
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411 | c=MH::MakeDefCanvas("Cascade", "Cascade");
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412 |
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413 | c->SetGrid();
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414 | c->SetLogx();
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415 | c->SetLogy();
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416 |
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417 | fHist.Draw("P");
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418 | histsrc.Draw("Psame");
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419 | histsrc.Draw("same");
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420 | fHist.Draw("same");
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421 | }
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422 |
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423 | // ------------------------------
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424 |
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425 | cout << "Timers... " << flush;
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426 |
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427 | TTimer timer("gSystem->ProcessEvents();", 333, kFALSE);
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428 | if (!fIsBatch)
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429 | timer.TurnOn();
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430 |
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431 | TStopwatch clock;
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432 | clock.Start();
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433 |
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434 | cout << "Done. " << endl;
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435 |
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436 | Int_t n=0;
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437 | Double_t starttime = TStopwatch::GetRealTime(); // s
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438 | while (TStopwatch::GetRealTime()<starttime+fRuntime)
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439 | for (int i=0; i<fNumBins; i++)
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440 | {
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441 | n++;
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442 |
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443 | Double_t E = GetEnergy();
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444 | Double_t weight = pow(E, fSpectralIndex);
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445 |
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446 | if (!fIsBatch)
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447 | histsrc.Fill(E, pow(E, fDisplayIndex) * weight);
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448 |
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449 | cout << "--> " << n << ". " << Form("%d: %3.1e", (int)(starttime+fRuntime-TStopwatch::GetRealTime()), E) << flush;
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450 |
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451 | ProcessPrimaryGamma(E, weight);
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452 |
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453 | if (fIsBatch)
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454 | continue;
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455 |
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456 | fHist.SetTitle(Form("E^{%.1f} z=%f T=%d'%d\" N=%d", fSpectralIndex, fSrcZ,
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457 | (int)fRuntime/60, (int)fRuntime%60, n));
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458 |
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459 | timer.Stop();
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460 | c->Update();
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461 | timer.Start(250);
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462 | }
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463 |
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464 | cout << endl;
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465 |
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466 | clock.Stop();
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467 | clock.Print();
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468 |
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469 | timer.Stop();
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470 |
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471 | CloseFile(file);
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472 |
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473 | cout << "Created " << n << " gammas (" << n/fNumBins << "rows) from source with E^" << fSpectralIndex << endl;
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474 | cout << "Processing time: " << Form("%.1f", (TStopwatch::GetRealTime()-starttime)/n) << " sec/gamma (";
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475 | cout << Form("%.1f", (TStopwatch::GetRealTime()-starttime)/n*fNumBins/60) << " min/row)" << endl;
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476 |
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477 | // ------------------------------
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478 |
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479 | if (!fIsBatch)
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480 | {
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481 | c->Clear();
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482 |
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483 | fHist.SetTitle(Form("E^{%.1f} z=%f T=%d'%d\" N=%d", fSpectralIndex, fSrcZ, (int)fRuntime/60, (int)fRuntime%60, n));
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484 |
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485 | TH1 &h1 = *fHist.DrawCopy("P");
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486 | TH1 &h2 = *histsrc.DrawCopy("Psame");
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487 | h2.Draw("Csame");
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488 | h1.Draw("Csame");
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489 | }
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490 | }
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491 |
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