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G4GaussLaguerreQ.hh
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27 // $Id: G4GaussLaguerreQ.hh 67970 2013-03-13 10:10:06Z gcosmo $
28 //
29 // Class description:
30 //
31 // Class for realization of Gauss-Laguerre quadrature method
32 // Roots of ortogonal polynoms and corresponding weights are calculated based on
33 // iteration method (by bisection Newton algorithm). Constant values for initial
34 // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
35 // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
36 // 10, and 22 .
37 //
38 // ---------------------------------------------------------------------------
39 //
40 // Constructor for Gauss-Laguerre quadrature method: integral from zero to
41 // infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre sets the accuracy.
42 // The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and
43 // fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be called
44 // then with any f .
45 //
46 // G4GaussLaguerreQ( function pFunction,
47 // G4double alpha,
48 // G4int nLaguerre )
49 //
50 //
51 // -------------------------------------------------------------------------
52 //
53 // Gauss-Laguerre method for integration of std::pow(x,alpha)*std::exp(-x)*pFunction(x)
54 // from zero up to infinity. pFunction is evaluated in fNumber points for which
55 // fAbscissa[i] and fWeight[i] arrays were created in constructor
56 //
57 // G4double Integral() const
58 
59 // ------------------------------- HISTORY --------------------------------
60 //
61 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
62 
63 #ifndef G4GAUSSLAGUERREQ_HH
64 #define G4GAUSSLAGUERREQ_HH
65 
66 #include "G4VGaussianQuadrature.hh"
67 
69 {
70 public:
71  G4GaussLaguerreQ( function pFunction,
73  G4int nLaguerre ) ;
74 
75  // Methods
76 
77  G4double Integral() const ;
78 
79 private:
80 
82  G4GaussLaguerreQ& operator=(const G4GaussLaguerreQ&);
83 };
84 
85 #endif
G4GaussLaguerreQ(function pFunction, G4double alpha, G4int nLaguerre)
int G4int
Definition: G4Types.hh:78
double G4double
Definition: G4Types.hh:76
static const G4double alpha
G4double Integral() const