source: trunk/source/global/HEPNumerics/src/G4GaussChebyshevQ.cc@ 1193

Last change on this file since 1193 was 1058, checked in by garnier, 17 years ago

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1//
2// ********************************************************************
3// * License and Disclaimer *
4// * *
5// * The Geant4 software is copyright of the Copyright Holders of *
6// * the Geant4 Collaboration. It is provided under the terms and *
7// * conditions of the Geant4 Software License, included in the file *
8// * LICENSE and available at http://cern.ch/geant4/license . These *
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14// * regarding this software system or assume any liability for its *
15// * use. Please see the license in the file LICENSE and URL above *
16// * for the full disclaimer and the limitation of liability. *
17// * *
18// * This code implementation is the result of the scientific and *
19// * technical work of the GEANT4 collaboration. *
20// * By using, copying, modifying or distributing the software (or *
21// * any work based on the software) you agree to acknowledge its *
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23// * acceptance of all terms of the Geant4 Software license. *
24// ********************************************************************
25//
26//
27// $Id: G4GaussChebyshevQ.cc,v 1.6 2006/06/29 19:00:07 gunter Exp $
28// GEANT4 tag $Name: geant4-09-02-ref-02 $
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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