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Toolkit for the simulation of the passage of particles through matter
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G4GaussLaguerreQ.hh
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25//
26//
27// $Id$
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
67
69{
70public:
71 G4GaussLaguerreQ( function pFunction,
72 G4double alpha,
73 G4int nLaguerre ) ;
74
75 // Methods
76
77 G4double Integral() const ;
78
79private:
80
82 G4GaussLaguerreQ& operator=(const G4GaussLaguerreQ&);
83};
84
85#endif
G4double(* function)(G4double)
double G4double
Definition: G4Types.hh:64
int G4int
Definition: G4Types.hh:66
G4double Integral() const