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geant4/source/global/HEPNumerics/src/G4GaussChebyshevQ.cc
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2016-06-10 11:51:14 +02:00

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//
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// $Id: G4GaussChebyshevQ.cc 67970 2013-03-13 10:10:06Z gcosmo $
//
#include "G4GaussChebyshevQ.hh"
#include "G4PhysicalConstants.hh"
// -----------------------------------------------------
//
// Constructor for Gauss-Chebyshev quadrature method
G4GaussChebyshevQ::G4GaussChebyshevQ( function pFunction ,
G4int nChebyshev )
: G4VGaussianQuadrature(pFunction)
{
fNumber = nChebyshev ; // Try to reduce fNumber twice ??
G4double cof = pi/fNumber ;
fAbscissa = new G4double[fNumber] ;
fWeight = new G4double[fNumber] ;
for(G4int i=0;i<fNumber;i++)
{
fAbscissa[i] = std::cos(cof*(i + 0.5)) ;
fWeight[i] = cof*std::sqrt(1 - fAbscissa[i]*fAbscissa[i]) ;
}
}
// ----------------------------------------------------------------------
//
G4GaussChebyshevQ::~G4GaussChebyshevQ()
{
}
// -------------------------------------------------------------------------------
//
// Integrates function pointed by fFunction from a to b by Gauss-Chebyshev
// quadrature method
G4double
G4GaussChebyshevQ::Integral(G4double a, G4double b) const
{
G4double xDiff=0.5*(b - a),
xMean=0.5*(a + b),
dx=0.0, integral=0.0 ;
for(G4int i=0;i<fNumber;i++)
{
dx = xDiff*fAbscissa[i] ;
integral += fWeight[i]*fFunction(xMean + dx) ;
}
return integral *= xDiff ;
}