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25 // 25 //
26 // G4GaussHermiteQ << 26 //
>> 27 // $Id$
27 // 28 //
28 // Class description: 29 // Class description:
29 // 30 //
30 // Roots of ortogonal polynoms and correspondi 31 // Roots of ortogonal polynoms and corresponding weights are calculated based on
31 // iteration method (by bisection Newton algor 32 // iteration method (by bisection Newton algorithm). Constant values for initial
32 // approximations were derived from the book: << 33 // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
33 // M. Abramowitz, I. Stegun, Handbook of mat << 34 // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
34 // DOVER Publications INC, New York 1965 ; c << 35 // 10, and 22 .
>> 36 //
>> 37 // --------------------------------------------------------------------------
>> 38 //
>> 39 // Constructor for Gauss-Hermite quadrature method . The function GaussHermite
>> 40 // should be called then
>> 41 //
>> 42 // G4GaussHermiteQ( function pFunction, G4int nHermite )
>> 43 //
>> 44 // ----------------------------------------------------------------------------
>> 45 //
>> 46 // Gauss-Hermite method for integration of std::exp(-x*x)*nFunction(x) from minus infinity
>> 47 // to plus infinity .
>> 48 //
>> 49 // G4double Integral() const
>> 50
>> 51 // ------------------------------- HISTORY -------------------------------------
>> 52 //
>> 53 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
35 54
36 // Author: V.Grichine, 13.05.1997 V.Grichine <<
37 // ------------------------------------------- <<
38 #ifndef G4GAUSSHERMITEQ_HH 55 #ifndef G4GAUSSHERMITEQ_HH
39 #define G4GAUSSHERMITEQ_HH 1 << 56 #define G4GAUSSHERMITEQ_HH
40 57
41 #include "G4VGaussianQuadrature.hh" 58 #include "G4VGaussianQuadrature.hh"
42 59
43 class G4GaussHermiteQ : public G4VGaussianQuad 60 class G4GaussHermiteQ : public G4VGaussianQuadrature
44 { 61 {
45 public: << 62 public:
46 // Constructor << 63 // Constructor
>> 64
>> 65 G4GaussHermiteQ( function pFunction, G4int nHermite ) ;
>> 66
>> 67 // Methods
>> 68
>> 69 G4double Integral() const ;
>> 70
>> 71
>> 72 private:
>> 73
>> 74 G4GaussHermiteQ(const G4GaussHermiteQ&);
>> 75 G4GaussHermiteQ& operator=(const G4GaussHermiteQ&);
47 76
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 }; 77 };
59 78
60 #endif 79 #endif
61 80