Geant4 Cross Reference

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Geant4/global/HEPNumerics/include/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:
 34 //   M. Abramowitz, I. Stegun, Handbook of mathematical functions,
 35 //   DOVER Publications INC, New York 1965 ; chapters 9, 10, and 22.
 36 
 37 // Author: V.Grichine, 13.05.1997
 38 // --------------------------------------------------------------------
 39 #ifndef G4GAUSSLAGUERREQ_HH
 40 #define G4GAUSSLAGUERREQ_HH 1
 41 
 42 #include "G4VGaussianQuadrature.hh"
 43 
 44 class G4GaussLaguerreQ : public G4VGaussianQuadrature
 45 {
 46  public:
 47   G4GaussLaguerreQ(function pFunction, G4double alpha, G4int nLaguerre);
 48   // Constructor for Gauss-Laguerre quadrature method: integral from zero to
 49   // infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre
 50   // sets the accuracy.
 51   // The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and
 52   // fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be
 53   // called then with any f.
 54 
 55   G4GaussLaguerreQ(const G4GaussLaguerreQ&) = delete;
 56   G4GaussLaguerreQ& operator=(const G4GaussLaguerreQ&) = delete;
 57 
 58   G4double Integral() const;
 59   // Gauss-Laguerre method for integration of
 60   // std::pow(x,alpha)*std::exp(-x)*pFunction(x) from zero up to infinity.
 61   // pFunction is evaluated in fNumber points for which fAbscissa[i] and
 62   // fWeight[i] arrays were created in constructor.
 63 };
 64 
 65 #endif
 66