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25 // 25 //
26 // G4GaussJacobiQ << 26 //
>> 27 // $Id: G4GaussJacobiQ.hh,v 1.5 2006/06/29 18:59:38 gunter Exp $
>> 28 // GEANT4 tag $Name: geant4-08-03-patch-02 $
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