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Please see the license in the file LICENSE and URL above * 16 // * for the full disclaimer and the limitatio 16 // * for the full disclaimer and the limitation of liability. * 17 // * 17 // * * 18 // * This code implementation is the result 18 // * This code implementation is the result of the scientific and * 19 // * technical work of the GEANT4 collaboratio 19 // * technical work of the GEANT4 collaboration. * 20 // * By using, copying, modifying or distri 20 // * By using, copying, modifying or distributing the software (or * 21 // * any work based on the software) you ag 21 // * any work based on the software) you agree to acknowledge its * 22 // * use in resulting scientific publicati 22 // * use in resulting scientific publications, and indicate your * 23 // * acceptance of all terms of the Geant4 Sof 23 // * acceptance of all terms of the Geant4 Software license. * 24 // ******************************************* 24 // ******************************************************************** 25 // 25 // 26 // G4GaussJacobiQ << 26 // >> 27 // $Id: G4GaussJacobiQ.hh,v 1.5 2006/06/29 18:59:38 gunter Exp $ >> 28 // GEANT4 tag $Name: geant4-09-01 $ 27 // 29 // 28 // Class description: 30 // Class description: 29 // 31 // 30 // Roots of ortogonal polynoms and correspondi 32 // Roots of ortogonal polynoms and corresponding weights are calculated based on 31 // iteration method (by bisection Newton algor 33 // iteration method (by bisection Newton algorithm). Constant values for initial 32 // approximations were derived from the book: << 34 // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook 33 // M. Abramowitz, I. Stegun, Handbook of mat << 35 // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9, 34 // DOVER Publications INC, New York 1965 ; c << 36 // 10, and 22 . >> 37 // >> 38 // --------------------------------------------------------------------------- >> 39 // >> 40 // Constructor for Gauss-Jacobi integration method. >> 41 // >> 42 // G4GaussJacobiQ( function pFunction, >> 43 // G4double alpha, >> 44 // G4double beta, >> 45 // G4int nJacobi ) >> 46 // >> 47 // ---------------------------------------------------------------------------- >> 48 // >> 49 // Gauss-Jacobi method for integration of ((1-x)^alpha)*((1+x)^beta)*pFunction(x) >> 50 // from minus unit to plus unit . >> 51 // >> 52 // G4double Integral() const >> 53 >> 54 // ------------------------------- HISTORY ------------------------------------- >> 55 // >> 56 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0 35 57 36 // Author: V.Grichine, 13.05.1997 << 37 // ------------------------------------------- << 38 #ifndef G4GAUSSJACOBIQ_HH 58 #ifndef G4GAUSSJACOBIQ_HH 39 #define G4GAUSSJACOBIQ_HH 1 << 59 #define G4GAUSSJACOBIQ_HH 40 60 41 #include "G4VGaussianQuadrature.hh" 61 #include "G4VGaussianQuadrature.hh" 42 62 43 class G4GaussJacobiQ : public G4VGaussianQuadr 63 class G4GaussJacobiQ : public G4VGaussianQuadrature 44 { 64 { 45 public: << 65 public: 46 G4GaussJacobiQ(function pFunction, G4double << 66 // Constructor 47 G4int nJacobi); << 67 48 // Constructor for Gauss-Jacobi integration << 68 G4GaussJacobiQ( function pFunction, 49 << 69 G4double alpha, 50 G4GaussJacobiQ(const G4GaussJacobiQ&) = dele << 70 G4double beta, 51 G4GaussJacobiQ& operator=(const G4GaussJacob << 71 G4int nJacobi ) ; 52 << 72 53 G4double Integral() const; << 73 // Methods 54 // Gauss-Jacobi method for integration of << 74 55 // ((1-x)^alpha)*((1+x)^beta)*pFunction(x) f << 75 G4double Integral() const ; >> 76 >> 77 private: >> 78 >> 79 G4GaussJacobiQ(const G4GaussJacobiQ&); >> 80 G4GaussJacobiQ& operator=(const G4GaussJacobiQ&); 56 }; 81 }; 57 82 58 #endif 83 #endif 59 84