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24 // ******************************************* 24 // ********************************************************************
25 // 25 //
26 // G4GaussHermiteQ << 26 //
27 // 27 //
28 // Class description: 28 // Class description:
29 // 29 //
30 // Roots of ortogonal polynoms and correspondi 30 // Roots of ortogonal polynoms and corresponding weights are calculated based on
31 // iteration method (by bisection Newton algor 31 // iteration method (by bisection Newton algorithm). Constant values for initial
32 // approximations were derived from the book: << 32 // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
33 // M. Abramowitz, I. Stegun, Handbook of mat << 33 // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
34 // DOVER Publications INC, New York 1965 ; c << 34 // 10, and 22 .
>> 35 //
>> 36 // --------------------------------------------------------------------------
>> 37 //
>> 38 // Constructor for Gauss-Hermite quadrature method . The function GaussHermite
>> 39 // should be called then
>> 40 //
>> 41 // G4GaussHermiteQ( function pFunction, G4int nHermite )
>> 42 //
>> 43 // ----------------------------------------------------------------------------
>> 44 //
>> 45 // Gauss-Hermite method for integration of std::exp(-x*x)*nFunction(x) from minus infinity
>> 46 // to plus infinity .
>> 47 //
>> 48 // G4double Integral() const
>> 49
>> 50 // ------------------------------- HISTORY -------------------------------------
>> 51 //
>> 52 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
35 53
36 // Author: V.Grichine, 13.05.1997 V.Grichine <<
37 // ------------------------------------------- <<
38 #ifndef G4GAUSSHERMITEQ_HH 54 #ifndef G4GAUSSHERMITEQ_HH
39 #define G4GAUSSHERMITEQ_HH 1 << 55 #define G4GAUSSHERMITEQ_HH
40 56
41 #include "G4VGaussianQuadrature.hh" 57 #include "G4VGaussianQuadrature.hh"
42 58
43 class G4GaussHermiteQ : public G4VGaussianQuad 59 class G4GaussHermiteQ : public G4VGaussianQuadrature
44 { 60 {
45 public: << 61 public:
46 // Constructor << 62 // Constructor
>> 63
>> 64 G4GaussHermiteQ( function pFunction, G4int nHermite ) ;
>> 65
>> 66 // Methods
>> 67
>> 68 G4double Integral() const ;
>> 69
>> 70
>> 71 private:
>> 72
>> 73 G4GaussHermiteQ(const G4GaussHermiteQ&);
>> 74 G4GaussHermiteQ& operator=(const G4GaussHermiteQ&);
47 75
48 G4GaussHermiteQ(function pFunction, G4int nH <<
49 // Constructor for Gauss-Hermite quadrature <<
50 // The function GaussHermite should be calle <<
51 <<
52 G4GaussHermiteQ(const G4GaussHermiteQ&) = de <<
53 G4GaussHermiteQ& operator=(const G4GaussHerm <<
54 <<
55 G4double Integral() const; <<
56 // Gauss-Hermite method for integration of s <<
57 // minus infinity to plus infinity. <<
58 }; 76 };
59 77
60 #endif 78 #endif
61 79