99 lines
3.7 KiB
C++
99 lines
3.7 KiB
C++
//
|
|
// ********************************************************************
|
|
// * License and Disclaimer *
|
|
// * *
|
|
// * The Geant4 software is copyright of the Copyright Holders of *
|
|
// * the Geant4 Collaboration. It is provided under the terms and *
|
|
// * conditions of the Geant4 Software License, included in the file *
|
|
// * LICENSE and available at http://cern.ch/geant4/license . These *
|
|
// * include a list of copyright holders. *
|
|
// * *
|
|
// * Neither the authors of this software system, nor their employing *
|
|
// * institutes,nor the agencies providing financial support for this *
|
|
// * work make any representation or warranty, express or implied, *
|
|
// * regarding this software system or assume any liability for its *
|
|
// * use. Please see the license in the file LICENSE and URL above *
|
|
// * for the full disclaimer and the limitation of liability. *
|
|
// * *
|
|
// * This code implementation is the result of the scientific and *
|
|
// * technical work of the GEANT4 collaboration. *
|
|
// * By using, copying, modifying or distributing the software (or *
|
|
// * any work based on the software) you agree to acknowledge its *
|
|
// * use in resulting scientific publications, and indicate your *
|
|
// * acceptance of all terms of the Geant4 Software license. *
|
|
// ********************************************************************
|
|
//
|
|
////////////////////////////////////////////////////////////////////////////////
|
|
// //
|
|
// 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;
|
|
}
|
|
|