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geant4/source/processes/hadronic/models/radioactive_decay/src/G4BetaSpectrumSampler.cc
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2023-06-30 09:09:57 +02:00

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//
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////////////////////////////////////////////////////////////////////////////////
// //
// File: G4BetaSpectrumSampler.cc //
// Author: D.H. Wright //
// Date: 21 November 2022 //
// Description: samples a spectrum which is a piece-wise linear function of //
// energy. The CDF is calculated by trapezoidal integration //
// and within bins the line y = mx + b is sampled. //
// //
////////////////////////////////////////////////////////////////////////////////
#include "G4BetaSpectrumSampler.hh"
G4BetaSpectrumSampler::
G4BetaSpectrumSampler(const G4double* aPDF, G4int pdfSize, G4double e)
{
pdf.resize(pdfSize);
nBins = pdfSize-1;
cdf.resize(nBins);
eEnd = e;
lowerBinEdge = 0;
upperBinEdge = 1;
for (G4int i = 0; i < pdfSize; i++) pdf[i] = aPDF[i];
// Caclulate binwise CDF using trapezoidal integration
G4double sum = pdf[0]/2.;
for (G4int i = 1; i < pdfSize; i++) {
sum += pdf[i];
cdf[i-1] = sum - pdf[i]/2.;
}
}
G4double G4BetaSpectrumSampler::shoot()
{
G4double rand = G4UniformRand()*cdf[nBins-1];
G4int ibin = 0;
while (rand > cdf[ibin]) ibin++;
G4double x = nBins;
if (ibin < nBins) {
lowerBinEdge = ibin;
upperBinEdge = ibin+1;
x = sampleSlopedLine();
}
return x/nBins;
}
G4double G4BetaSpectrumSampler::sampleSlopedLine()
{
G4double x;
G4double rand = G4UniformRand();
ylower = pdf[lowerBinEdge];
yupper = pdf[upperBinEdge];
if (std::abs(2.*(yupper - ylower)/(yupper + ylower) ) < 1.E-6) {
// Slope is near zero, sample flat
x = lowerBinEdge + rand*(upperBinEdge - lowerBinEdge);
} else {
// Sample incline
x = (yupper*lowerBinEdge - ylower*upperBinEdge +
std::sqrt(ylower*ylower + rand*(yupper*yupper - ylower*ylower) ) )
/(yupper - ylower);
}
return x;
}