source: trunk/source/global/HEPNumerics/src/G4GaussChebyshevQ.cc @ 833

Last change on this file since 833 was 833, checked in by garnier, 16 years ago

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27// $Id: G4GaussChebyshevQ.cc,v 1.6 2006/06/29 19:00:07 gunter Exp $
28// GEANT4 tag $Name:  $
29//
30#include "G4GaussChebyshevQ.hh"
31
32// -----------------------------------------------------
33//
34// Constructor for Gauss-Chebyshev quadrature method
35
36G4GaussChebyshevQ::G4GaussChebyshevQ( function pFunction ,
37                                      G4int nChebyshev       )
38   : G4VGaussianQuadrature(pFunction)
39{
40   fNumber = nChebyshev  ;   // Try to reduce fNumber twice ??
41   G4double cof = pi/fNumber ;
42   fAbscissa = new G4double[fNumber] ;
43   fWeight = new G4double[fNumber] ;
44   for(G4int i=0;i<fNumber;i++)
45   {
46      fAbscissa[i] = std::cos(cof*(i + 0.5)) ;
47      fWeight[i] = cof*std::sqrt(1 - fAbscissa[i]*fAbscissa[i]) ;
48   }
49}
50
51// ----------------------------------------------------------------------
52//
53
54G4GaussChebyshevQ::~G4GaussChebyshevQ()
55{
56}
57
58// -------------------------------------------------------------------------------
59//
60// Integrates function pointed by fFunction from a to b by Gauss-Chebyshev
61// quadrature method
62
63G4double
64G4GaussChebyshevQ::Integral(G4double a, G4double b) const 
65{
66   G4double xDiff=0.5*(b - a),
67            xMean=0.5*(a + b),
68            dx=0.0, integral=0.0 ;
69   
70   for(G4int i=0;i<fNumber;i++)
71   {
72      dx = xDiff*fAbscissa[i] ;
73      integral += fWeight[i]*fFunction(xMean + dx)  ;
74   }
75   return integral *= xDiff ;
76}
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