Geant4 Cross Reference

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Geant4/global/HEPNumerics/include/G4VGaussianQuadrature.hh

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 25 //
 26 // G4VGaussianQuadrature
 27 //
 28 // Class description:
 29 //
 30 // Base Class for realisation of numerical methodes for integration of functions
 31 // with signature double f(double) by Gaussian quadrature methods
 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:
 35 //   M. Abramowitz, I. Stegun, Handbook of mathematical functions,
 36 //   DOVER Publications INC, New York 1965 ; chapters 9, 10, and 22.
 37 
 38 // Author: V.Grichine, 18.04.1997
 39 // --------------------------------------------------------------------
 40 #ifndef G4VGAUSSIANQUADRATURE_HH
 41 #define G4VGAUSSIANQUADRATURE_HH 1
 42 
 43 #include "globals.hh"
 44 
 45 using function = G4double (*)(G4double);
 46 
 47 class G4VGaussianQuadrature
 48 {
 49  public:
 50   explicit G4VGaussianQuadrature(function pFunction);
 51   // Base constructor
 52 
 53   virtual ~G4VGaussianQuadrature();
 54   // Virtual destructor
 55 
 56   G4VGaussianQuadrature(const G4VGaussianQuadrature&) = delete;
 57   G4VGaussianQuadrature& operator=(const G4VGaussianQuadrature&) = delete;
 58 
 59   G4double GetAbscissa(G4int index) const;
 60   G4double GetWeight(G4int index) const;
 61   G4int GetNumber() const;
 62   // Access functions
 63 
 64  protected:
 65   G4double GammaLogarithm(G4double xx);
 66   // Auxiliary function which returns the value of std::log(gamma-function(x))
 67 
 68   //  Data members common for GaussianQuadrature family
 69   //
 70   function fFunction;             // pointer to the function to be integrated
 71   G4double* fAbscissa = nullptr;  // array of abscissas
 72   G4double* fWeight   = nullptr;  // array of corresponding weights
 73   G4int fNumber = 0;  // the number of points in fAbscissa and fWeight arrays
 74 };
 75 
 76 #endif
 77