# vavilov¶

Test of the TMath::Vavilov distribution

Author: Anna Kreshuk
This notebook tutorial was automatically generated with ROOTBOOK-izer from the macro found in the ROOT repository on Wednesday, August 17, 2022 at 09:34 AM.

In [1]:
Int_t n = 1000;
Double_t *xvalues  = new Double_t[n];
Double_t *yvalues1 = new Double_t[n];
Double_t *yvalues2 = new Double_t[n];
Double_t *yvalues3 = new Double_t[n];
Double_t *yvalues4 = new Double_t[n];

TRandom r;
for (Int_t i=0; i<n; i++) {
xvalues[i]  = r.Uniform(-2, 10);
yvalues1[i] = TMath::Vavilov(xvalues[i], 0.3, 0.5);
yvalues2[i] = TMath::Vavilov(xvalues[i], 0.15, 0.5);
yvalues3[i] = TMath::Vavilov(xvalues[i], 0.25, 0.5);
yvalues4[i] = TMath::Vavilov(xvalues[i], 0.05, 0.5);
}

TCanvas *c1 = new TCanvas("c1", "Vavilov density");
c1->SetGrid();
c1->SetHighLightColor(19);
TGraph *gr1 = new TGraph(n, xvalues, yvalues1);
TGraph *gr2 = new TGraph(n, xvalues, yvalues2);
TGraph *gr3 = new TGraph(n, xvalues, yvalues3);
TGraph *gr4 = new TGraph(n, xvalues, yvalues4);
gr1->SetTitle("TMath::Vavilov density");
gr1->Draw("ap");
gr2->Draw("psame");
gr2->SetMarkerColor(kRed);
gr3->Draw("psame");
gr3->SetMarkerColor(kBlue);
gr4->Draw("psame");
gr4->SetMarkerColor(kGreen);

TF1 *f1 = new TF1("f1", "TMath::Vavilov(x, 0.3, 0.5)", -2, 10);

TH1F *hist = new TH1F("vavilov", "vavilov", 100, -2, 10);
for (int i=0; i<10000; i++) {
hist->Fill(f1->GetRandom());
}
hist->Scale(1/1200.);
hist->Draw("same");


Draw all canvases

In [2]:
gROOT->GetListOfCanvases()->Draw()