# 1cm Smeared Distributions

Dear Experts

I want to make X Y and Z distributions with 1cm smearing. Please check if this code and plots are correct if not Please suggest changes. Thanks

``````#include <TCanvas.h>
#include <TH1F.h>
#include <TRandom3.h>

void BS() {
// Parameters
const int numEntries = 1000;   // Number of entries
const double mean = 0.0;       // Mean value
const double smear = 1.0;      // Smearing value (in cm)

// Create histograms to store the smeared distributions for x, y, and z
TH1F* hSmearedX = new TH1F("hSmearedX", "Smeared Distribution (X);x (cm);Counts", 100, -10.0, 10.0);
TH1F* hSmearedY = new TH1F("hSmearedY", "Smeared Distribution (Y);y (cm);Counts", 100, -10.0, 10.0);
TH1F* hSmearedZ = new TH1F("hSmearedZ", "Smeared Distribution (Z);z (cm);Counts", 100, -10.0, 10.0);

// Set up the random number generator for smearing
TRandom3 randSmeared;

// Fill the smeared histograms by adding Gaussian noise to the mean values for x, y, and z
for (int i = 0; i < numEntries; i++) {
double xSmeared = mean + randSmeared.Gaus(0.0, smear);
double ySmeared = mean + randSmeared.Gaus(0.0, smear);
double zSmeared = mean + randSmeared.Gaus(0.0, smear);

hSmearedX->Fill(xSmeared);
hSmearedY->Fill(ySmeared);
hSmearedZ->Fill(zSmeared);
}

// Create a canvas and draw the histograms for x
TCanvas* canvasX = new TCanvas("canvasX", "Distribution (X)", 800, 600);
hSmearedX->Draw();
canvasX->SaveAs("distributionX.png");

// Create a canvas and draw the histograms for y
TCanvas* canvasY = new TCanvas("canvasY", "Distribution (Y)", 800, 600);
hSmearedY->Draw();
canvasY->SaveAs("distributionY.png");

// Create a canvas and draw the histograms for z
TCanvas* canvasZ = new TCanvas("canvasZ", "Distribution (Z)", 800, 600);
hSmearedZ->Draw();
canvasZ->SaveAs("distributionZ.png");
}
``````

May be @moneta can help.

@moneta and @Wile_E_Coyote Please guide me to check if the above code is correct to make random gaussian distribution with smearing of 1cm

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