G4GaussHermiteQ.hh

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00001 //
00002 // ********************************************************************
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00010 // *                                                                  *
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00025 //
00026 //
00027 // $Id$
00028 //
00029 // Class description:
00030 //
00031 // Roots of ortogonal polynoms and corresponding weights are calculated based on
00032 // iteration method (by bisection Newton algorithm). Constant values for initial
00033 // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
00034 // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
00035 // 10, and 22 .
00036 //
00037 // --------------------------------------------------------------------------
00038 //
00039 // Constructor for Gauss-Hermite quadrature method . The function GaussHermite
00040 // should be called then
00041 //
00042 // G4GaussHermiteQ( function pFunction, G4int nHermite  ) 
00043 //
00044 // ----------------------------------------------------------------------------
00045 //
00046 // Gauss-Hermite method for integration of std::exp(-x*x)*nFunction(x) from minus infinity
00047 // to plus infinity .
00048 //
00049 // G4double Integral() const 
00050 
00051 // ------------------------------- HISTORY -------------------------------------
00052 //
00053 // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
00054 
00055 #ifndef G4GAUSSHERMITEQ_HH
00056 #define G4GAUSSHERMITEQ_HH
00057 
00058 #include "G4VGaussianQuadrature.hh"
00059 
00060 class G4GaussHermiteQ : public G4VGaussianQuadrature
00061 {
00062 public:
00063         // Constructor
00064 
00065         G4GaussHermiteQ( function pFunction, G4int nHermite  ) ;
00066                                
00067         // Methods
00068                              
00069         G4double Integral() const ;
00070 
00071 
00072 private:
00073 
00074         G4GaussHermiteQ(const G4GaussHermiteQ&);
00075         G4GaussHermiteQ& operator=(const G4GaussHermiteQ&);
00076 
00077 };
00078 
00079 #endif

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