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G4GaussLaguerreQ.hh
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25 //
26 //
27 //
28 // Class description:
29 //
30 // Class for realization of Gauss-Laguerre quadrature method
31 // Roots of ortogonal polynoms and corresponding weights are calculated based on
32 // iteration method (by bisection Newton algorithm). Constant values for initial
33 // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
34 // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
35 // 10, and 22 .
36 //
37 // ---------------------------------------------------------------------------
38 //
39 // Constructor for Gauss-Laguerre quadrature method: integral from zero to
40 // infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre sets the accuracy.
41 // The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and
42 // fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be called
43 // then with any f .
44 //
45 // G4GaussLaguerreQ( function pFunction,
46 // G4double alpha,
47 // G4int nLaguerre )
48 //
49 //
50 // -------------------------------------------------------------------------
51 //
52 // Gauss-Laguerre method for integration of std::pow(x,alpha)*std::exp(-x)*pFunction(x)
53 // from zero up to infinity. pFunction is evaluated in fNumber points for which
54 // fAbscissa[i] and fWeight[i] arrays were created in constructor
55 //
56 // G4double Integral() const
57 
58 // ------------------------------- HISTORY --------------------------------
59 //
60 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
61 
62 #ifndef G4GAUSSLAGUERREQ_HH
63 #define G4GAUSSLAGUERREQ_HH
64 
65 #include "G4VGaussianQuadrature.hh"
66 
68 {
69 public:
70  G4GaussLaguerreQ( function pFunction,
72  G4int nLaguerre ) ;
73 
74  // Methods
75 
76  G4double Integral() const ;
77 
78 private:
79 
82 };
83 
84 #endif