| 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 |
|
|---|
| 466 | clock.Stop();
|
|---|
| 467 | clock.Print();
|
|---|
| 468 |
|
|---|
| 469 | timer.Stop();
|
|---|
| 470 |
|
|---|
| 471 | CloseFile(file);
|
|---|
| 472 |
|
|---|
| 473 | cout << "Created " << n << " gammas (" << n/fNumBins << "rows) from source with E^" << fSpectralIndex << endl;
|
|---|
| 474 | cout << "Processing time: " << Form("%.1f", (TStopwatch::GetRealTime()-starttime)/n) << " sec/gamma (";
|
|---|
| 475 | cout << Form("%.1f", (TStopwatch::GetRealTime()-starttime)/n*fNumBins/60) << " min/row)" << endl;
|
|---|
| 476 |
|
|---|
| 477 | // ------------------------------
|
|---|
| 478 |
|
|---|
| 479 | if (!fIsBatch)
|
|---|
| 480 | {
|
|---|
| 481 | c->Clear();
|
|---|
| 482 |
|
|---|
| 483 | fHist.SetTitle(Form("E^{%.1f} z=%f T=%d'%d\" N=%d", fSpectralIndex, fSrcZ, (int)fRuntime/60, (int)fRuntime%60, n));
|
|---|
| 484 |
|
|---|
| 485 | TH1 &h1 = *fHist.DrawCopy("P");
|
|---|
| 486 | TH1 &h2 = *histsrc.DrawCopy("Psame");
|
|---|
| 487 | h2.Draw("Csame");
|
|---|
| 488 | h1.Draw("Csame");
|
|---|
| 489 | }
|
|---|
| 490 | }
|
|---|
| 491 |
|
|---|