G4GaussChebyshevQ.cc

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//
#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 ;
}