G4GaussLegendreQ.hh

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//
// G4GaussLegendreQ
//
// Class description:
//
// Class for Gauss-Legendre integration method
// Roots of ortogonal polynoms and corresponding weights are calculated based on
// iteration method (by bisection Newton algorithm). Constant values for initial
// approximations were derived from the book:
//   M. Abramowitz, I. Stegun, Handbook of mathematical functions,
//   DOVER Publications INC, New York 1965 ; chapters 9, 10, and 22.
 
// Author: V.Grichine, 13.05.1997
// --------------------------------------------------------------------
#ifndef G4GAUSSLEGENDREQ_HH
#define G4GAUSSLEGENDREQ_HH 1
 
#include "G4VGaussianQuadrature.hh"
 
class G4GaussLegendreQ : public G4VGaussianQuadrature
{
 public:
  explicit G4GaussLegendreQ(function pFunction);
 
  G4GaussLegendreQ(function pFunction, G4int nLegendre);
  // Constructor for GaussLegendre quadrature method. The value nLegendre set
  // the accuracy required, i.e the number of points where the function
  // pFunction will be evaluated during integration. The constructor creates
  // the arrays for abscissas and weights that used in Gauss-Legendre
  // quadrature method.
  // The values a and b are the limits of integration of the pFunction.
 
  G4GaussLegendreQ(const G4GaussLegendreQ&) = delete;
  G4GaussLegendreQ& operator=(const G4GaussLegendreQ&) = delete;
 
  G4double Integral(G4double a, G4double b) const;
  // Returns the integral of the function to be pointed by fFunction between a
  // and b, by 2*fNumber point Gauss-Legendre integration: the function is
  // evaluated exactly 2*fNumber Times at interior points in the range of
  // integration. Since the weights and abscissas are, in this case, symmetric
  // around the midpoint of the range of integration, there are actually only
  // fNumber distinct values of each.
 
  G4double QuickIntegral(G4double a, G4double b) const;
  // Returns the integral of the function to be pointed by fFunction between a
  // and b, by ten point Gauss-Legendre integration: the function is evaluated
  // exactly ten Times at interior points in the range of integration. Since
  // the weights and abscissas are, in this case, symmetric around the midpoint
  // of the range of integration, there are actually only five distinct values
  // of each.
 
  G4double AccurateIntegral(G4double a, G4double b) const;
  // Returns the integral of the function to be pointed by fFunction between a
  // and b, by 96 point Gauss-Legendre integration: the function is evaluated
  // exactly ten Times at interior points in the range of integration. Since
  // the weights and abscissas are, in this case, symmetric around the midpoint
  // of the range of integration, there are actually only five distinct values
  // of each.
};
 
#endif