KelvinFunctions.h

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// @(#)root/mathmore:$Id$
 
// CodeCogs GNU General Public License Agreement
// Copyright (C) 2004-2005 CodeCogs, Zyba Ltd, Broadwood, Holford, TA5 1DU,
// England.
//
// This program is free software; you can redistribute it and/or modify it
// under
// the terms of the GNU General Public License as published by CodeCogs.
// You must retain a copy of this licence in all copies.
//
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// WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or
// FITNESS FOR A
// PARTICULAR PURPOSE. See the Adapted GNU General Public License for more
// details.
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// *** THIS SOFTWARE CAN NOT BE USED FOR COMMERCIAL GAIN. ***
// ---------------------------------------------------------------------------------
 
#ifndef ROOT_Math_KelvinFunctions
#define ROOT_Math_KelvinFunctions
 
//////////////////////////////////////////////////////////////////////////
//                                                                      //
// KelvinFunctions                                                      //
//                                                                      //
// Calculates the Kelvin Functions Ber(x), Bei(x), Ker(x), Kei(x), and  //
// their first derivatives.                                             //
//                                                                      //
//////////////////////////////////////////////////////////////////////////
 
 
namespace ROOT {
namespace Math {
 
class KelvinFunctions
{
  public:
    // The Kelvin functions and their first derivatives
    static double Ber(double x);
    static double Bei(double x);
    static double Ker(double x);
    static double Kei(double x);
    static double DBer(double x);
    static double DBei(double x);
    static double DKer(double x);
    static double DKei(double x);
 
    // Utility functions appearing in the calculations of the Kelvin
    // functions.
    static double F1(double x);
    static double F2(double x);
    static double G1(double x);
    static double G2(double x);
    static double M(double x);
    static double Theta(double x);
    static double N(double x);
    static double Phi(double x);
 
    // Include and empty virtual desctructor to eliminate compiler warnings
    virtual ~KelvinFunctions() {}
 
  protected:
    // Internal parameters used to control calculation method and convegence
    static double fgMin;
    static double fgEpsilon;
 
};
 
} // namespace Math
} // namespace ROOT
 
 
#endif