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 Gauss-Chebyshev 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 // ------------------------------ CONSTRUCTORS ---------------------------- 00039 // 00040 // Constructor for Gauss-Chebyshev quadrature method 00041 // 00042 // G4GaussChebyshevQuadrature( function pFunction, 00043 // G4int nChebyshev ) 00044 // 00045 // 00046 // 00047 // ------------------------------- METHODS ----------------------------------- 00048 // 00049 // Integrates function pointed by fFunction from a to b by Gauss-Chebyshev quadrature 00050 // method 00051 // 00052 // G4double Integral(G4double a, G4double b) const 00053 00054 // ------------------------------- HISTORY -------------------------------- 00055 // 00056 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.ch) 00057 00058 #ifndef G4GAUSSCHEBYSHEVQ_HH 00059 #define G4GAUSSCHEBYSHEVQ_HH 00060 00061 #include "G4VGaussianQuadrature.hh" 00062 00063 class G4GaussChebyshevQ : public G4VGaussianQuadrature 00064 { 00065 public: 00066 // Constructor/destructor 00067 00068 G4GaussChebyshevQ( function pFunction, 00069 G4int nChebyshev ) ; 00070 00071 ~G4GaussChebyshevQ() ; 00072 00073 // Methods 00074 00075 G4double Integral(G4double a, G4double b) const ; 00076 00077 00078 private: 00079 00080 G4GaussChebyshevQ(const G4GaussChebyshevQ&); 00081 G4GaussChebyshevQ& operator=(const G4GaussChebyshevQ&); 00082 00083 }; 00084 00085 #endif