source: trunk/source/global/HEPNumerics/include/G4GaussLaguerreQ.hh @ 833

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

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26//
27// $Id: G4GaussLaguerreQ.hh,v 1.6 2006/06/29 18:59:40 gunter Exp $
28// GEANT4 tag $Name:  $
29//
30// Class description:
31//
32// Class for realization of Gauss-Laguerre quadrature method
33// Roots of ortogonal polynoms and corresponding weights are calculated based on
34// iteration method (by bisection Newton algorithm). Constant values for initial
35// approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
36// of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
37// 10, and 22 .
38//
39// ---------------------------------------------------------------------------
40//
41// Constructor for Gauss-Laguerre quadrature method: integral from zero to
42// infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre sets the accuracy.
43// The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and
44// fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be called
45// then with any f .
46//
47// G4GaussLaguerreQ( function pFunction,
48//                   G4double alpha,
49//                   G4int nLaguerre  )
50//
51//
52// -------------------------------------------------------------------------
53//
54// Gauss-Laguerre method for integration of std::pow(x,alpha)*std::exp(-x)*pFunction(x)
55// from zero up to infinity. pFunction is evaluated in fNumber points for which
56// fAbscissa[i] and fWeight[i] arrays were created in constructor
57//
58// G4double  Integral() const
59
60// ------------------------------- HISTORY --------------------------------
61//
62// 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
63
64#ifndef G4GAUSSLAGUERREQ_HH
65#define G4GAUSSLAGUERREQ_HH
66
67#include "G4VGaussianQuadrature.hh"
68
69class G4GaussLaguerreQ : public G4VGaussianQuadrature
70{
71public:
72        G4GaussLaguerreQ( function pFunction,
73                          G4double alpha,
74                          G4int nLaguerre           ) ;
75                               
76        // Methods
77                             
78        G4double Integral() const ;
79
80private:
81
82        G4GaussLaguerreQ(const G4GaussLaguerreQ&);
83        G4GaussLaguerreQ& operator=(const G4GaussLaguerreQ&);
84};
85
86#endif
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