esei_EllipticCylinder.h

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//
// name:           eshelbySoluEllipticIntegralsEllipticCylinder.h
// author(s):      Jan Novak, Tomas Janda
// 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_ESHELBY_SOLU_ELLIPTIC_INTEGRALS_ELLIPTIC_CYLINDER_H
#define MUMECH_ESHELBY_SOLU_ELLIPTIC_INTEGRALS_ELLIPTIC_CYLINDER_H

#include "types.h"
#include "esei.h"
#include <complex>


namespace mumech {

class eshelbySoluEllipticIntegralsEllipticCylinder : public eshelbySoluEllipticIntegrals
{
 private:
  bool log;
  
 public:
  eshelbySoluEllipticIntegralsEllipticCylinder (const InclusionRecord3D *i) : eshelbySoluEllipticIntegrals (i) { log = true; }
  virtual ~eshelbySoluEllipticIntegralsEllipticCylinder () {}
  
  // Function gives the the values of all elliptic integrals
  void giveEllipticIntegrals (double J[13], double lambda, bool intpoint);
  // Function gives the derivatives of Ferers-Dysons integrals
  void giveDerivativesOfEllipticIntegrals(Point * point, bool intpoint);
  // Returns lambda for a given point (x1, x2, x3)
  double getLambda(const double a[3], double x1, double x2, double x3); 
  
 private:
  // Function returning integrals Ii and Iij for elliptic cylinder (Mura, p.80)
  // For internal fields: lambda = 0
  // For external fields: lambda != 0
  double I2(double a1, double a2, double lambda);
  double I3(double a1, double a2, double lambda);
  double I22(double a1, double I2, double I3, double I23, double lambda);
  double I23(double a1, double a2, double I2, double I3);
  double I33(double a2, double I2, double I3, double I23, double lambda);
  
};

} // end of namespace mumech

#endif

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