G4GaussLaguerreQ.hh

Go to the documentation of this file.
00001 //
00002 // ********************************************************************
00003 // * License and Disclaimer                                           *
00004 // *                                                                  *
00005 // * The  Geant4 software  is  copyright of the Copyright Holders  of *
00006 // * the Geant4 Collaboration.  It is provided  under  the terms  and *
00007 // * conditions of the Geant4 Software License,  included in the file *
00008 // * LICENSE and available at  http://cern.ch/geant4/license .  These *
00009 // * include a list of copyright holders.                             *
00010 // *                                                                  *
00011 // * Neither the authors of this software system, nor their employing *
00012 // * institutes,nor the agencies providing financial support for this *
00013 // * work  make  any representation or  warranty, express or implied, *
00014 // * regarding  this  software system or assume any liability for its *
00015 // * use.  Please see the license in the file  LICENSE  and URL above *
00016 // * for the full disclaimer and the limitation of liability.         *
00017 // *                                                                  *
00018 // * This  code  implementation is the result of  the  scientific and *
00019 // * technical work of the GEANT4 collaboration.                      *
00020 // * By using,  copying,  modifying or  distributing the software (or *
00021 // * any work based  on the software)  you  agree  to acknowledge its *
00022 // * use  in  resulting  scientific  publications,  and indicate your *
00023 // * acceptance of all terms of the Geant4 Software license.          *
00024 // ********************************************************************
00025 //
00026 //
00027 // $Id$
00028 //
00029 // Class description:
00030 //
00031 // Class for realization of Gauss-Laguerre quadrature method
00032 // Roots of ortogonal polynoms and corresponding weights are calculated based on
00033 // iteration method (by bisection Newton algorithm). Constant values for initial
00034 // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
00035 // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
00036 // 10, and 22 .
00037 //
00038 // ---------------------------------------------------------------------------
00039 //
00040 // Constructor for Gauss-Laguerre quadrature method: integral from zero to
00041 // infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre sets the accuracy.
00042 // The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and 
00043 // fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be called
00044 // then with any f .
00045 //
00046 // G4GaussLaguerreQ( function pFunction,
00047 //                   G4double alpha,
00048 //                   G4int nLaguerre  ) 
00049 //
00050 //
00051 // -------------------------------------------------------------------------
00052 //
00053 // Gauss-Laguerre method for integration of std::pow(x,alpha)*std::exp(-x)*pFunction(x)
00054 // from zero up to infinity. pFunction is evaluated in fNumber points for which
00055 // fAbscissa[i] and fWeight[i] arrays were created in constructor
00056 //
00057 // G4double  Integral() const 
00058 
00059 // ------------------------------- HISTORY --------------------------------
00060 //
00061 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
00062 
00063 #ifndef G4GAUSSLAGUERREQ_HH
00064 #define G4GAUSSLAGUERREQ_HH
00065 
00066 #include "G4VGaussianQuadrature.hh"
00067 
00068 class G4GaussLaguerreQ : public G4VGaussianQuadrature
00069 {
00070 public:
00071         G4GaussLaguerreQ( function pFunction,
00072                           G4double alpha,
00073                           G4int nLaguerre           ) ;
00074                                
00075         // Methods
00076                              
00077         G4double Integral() const ;
00078 
00079 private:
00080 
00081         G4GaussLaguerreQ(const G4GaussLaguerreQ&);
00082         G4GaussLaguerreQ& operator=(const G4GaussLaguerreQ&);
00083 };
00084 
00085 #endif

Generated on Mon May 27 17:48:19 2013 for Geant4 by  doxygen 1.4.7