legendreIntegrals.h

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//********************************************************************************************************
// code:                          ###  ###  #####   ####  ##  ##
//                       ##  ##   ########  ##     ##  ## ##  ##
//                       ##  ##   ## ## ##  ###    ##     ######
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//
// name:           legendreIntegrals.h
// author(s):      Jan Novak
// language:       C, C++
// license:        This program is free software; you can redistribute it and/or modify
//                 it under the terms of the GNU Lesser General Public License as published by
//                 the Free Software Foundation; either version 2 of the License, or
//                 (at your option) any later version.
//
//                 This program is distributed in the hope that it will be useful,
//                 but WITHOUT ANY WARRANTY; without even the implied warranty of
//                 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
//                 GNU Lesser General Public License for more details.
//
//                 You should have received a copy of the GNU Lesser General Public License
//                 along with this program; if not, write to the Free Software
//                 Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
//********************************************************************************************************
#ifndef MUMECH_ELL_INTEGRALS_H
#define MUMECH_ELL_INTEGRALS_H


namespace mumech {

class legendreIntegrals
{
 public:
  legendreIntegrals () {}
  virtual ~legendreIntegrals () {}
  
  static double ellf( double phi, double ak);
  
  static double elle( double phi, double ak);
  
  static double ellpi( double phi, double en, double ak);
  
  
 protected:
  //* *****************************************************************************************************
  static double rf( double x, double y, double z );
  
  //* *****************************************************************************************************
  static double rd( double x, double y, double z );
  //* *****************************************************************************************************
  static double rj( double x, double y, double z, double p );
  //* *****************************************************************************************************
  static double rc( double x, double y );
  
};//end of class declaration

} // end of namespace mumech

#endif // end of MUMECH_ELL_INTEGRALS_H

/*end of file*/