param_elliptic.h

/*
 *  Definition of Lorene class Param_elliptic
 *
 */

/*
 *   Copyright (c) 2003 Philippe Grandclement
 *
 *   This file is part of LORENE.
 *
 *   LORENE is free software; you can redistribute it and/or modify
 *   it under the terms of the GNU General Public License version 2
 *   as published by the Free Software Foundation.
 *
 *   LORENE 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 General Public License for more details.
 *
 *   You should have received a copy of the GNU General Public License
 *   along with LORENE; if not, write to the Free Software
 *   Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
 *
 */

#ifndef __PARAM_ELLIPTIC_H_ 
#define __PARAM_ELLIPTIC_H_ 

/*
 * $Id: param_elliptic.h,v 1.20 2007/05/06 10:48:08 p_grandclement Exp $
 * $Log: param_elliptic.h,v $
 * Revision 1.20  2007/05/06 10:48:08  p_grandclement
 * Modification of a few operators for the vorton project
 *
 * Revision 1.19  2007/04/24 09:04:11  p_grandclement
 * Addition of an operator for the vortons
 *
 * Revision 1.18  2007/01/16 15:05:59  n_vasset
 * New constructor (taking a Scalar in mono-domain angular grid for
 * boundary) for function sol_elliptic_boundary
 *
 * Revision 1.17  2005/11/30 11:09:03  p_grandclement
 * Changes for the Bin_ns_bh project
 *
 * Revision 1.16  2005/08/26 14:02:38  p_grandclement
 * Modification of the elliptic solver that matches with an oscillatory exterior solution
 * small correction in Poisson tau also...
 *
 * Revision 1.15  2005/06/09 07:56:25  f_limousin
 * Implement a new function sol_elliptic_boundary() and
 * Vector::poisson_boundary(...) which solve the vectorial poisson
 * equation (method 6) with an inner boundary condition.
 *
 * Revision 1.14  2005/02/15 15:43:16  j_novak
 * First version of the block inversion for the vector Poisson equation (method 6).
 *
 * Revision 1.13  2004/12/23 16:30:14  j_novak
 * New files and class for the solution of the rr component of the tensor Poisson
 * equation.
 *
 * Revision 1.12  2004/08/24 09:14:40  p_grandclement
 * Addition of some new operators, like Poisson in 2d... It now requieres the
 * GSL library to work.
 *
 * Also, the way a variable change is stored by a Param_elliptic is changed and
 * no longer uses Change_var but rather 2 Scalars. The codes using that feature
 * will requiere some modification. (It should concern only the ones about monopoles)
 *
 * Revision 1.11  2004/06/22 08:49:57  p_grandclement
 * Addition of everything needed for using the logarithmic mapping
 *
 * Revision 1.10  2004/06/14 15:23:07  j_novak
 * Modif. comments.
 *
 * Revision 1.9  2004/06/14 15:07:10  j_novak
 * New methods for the construction of the elliptic operator appearing in
 * the vector Poisson equation (acting on eta).
 *
 * Revision 1.8  2004/05/14 08:51:00  p_grandclement
 * *** empty log message ***
 *
 * Revision 1.7  2004/05/10 15:28:21  j_novak
 * First version of functions for the solution of the r-component of the
 * vector Poisson equation.
 *
 * Revision 1.6  2004/03/23 14:54:45  j_novak
 * More documentation
 *
 * Revision 1.5  2004/03/17 15:58:47  p_grandclement
 * Slight modification of sol_elliptic_no_zec
 *
 * Revision 1.4  2004/03/05 09:18:48  p_grandclement
 * Addition of operator sec_order_r2
 *
 * Revision 1.3  2004/02/11 09:47:44  p_grandclement
 * Addition of a new elliptic solver, matching with the homogeneous solution
 * at the outer shell and not solving in the external domain (more details
 * coming soon ; check your local Lorene dealer...)
 *
 * Revision 1.2  2004/01/28 16:46:22  p_grandclement
 * Addition of the sol_elliptic_fixe_der_zero stuff
 *
 * Revision 1.1  2003/12/11 14:57:00  p_grandclement
 * I had forgotten the .h (sorry folks...)
 *
 * Revision 1.2  2001/12/11 06:44:41  e_gourgoulhon
 *
 * $Header: /cvsroot/Lorene/C++/Include/param_elliptic.h,v 1.20 2007/05/06 10:48:08 p_grandclement Exp $
 *
 */

#include "map.h"
#include "ope_elementary.h"
#include "scalar.h"

#define MAP_AFF 0 
#define MAP_LOG 1 

class Param_elliptic {

 protected:
  int type_map ; 
  const Map_af* mp_af ; 
  const Map_log* mp_log ; 
 
  Ope_elementary** operateurs ; 
  
  Scalar var_F ; 
  Scalar var_G ; 

  mutable Itbl done_F ; 
  mutable Itbl done_G ; 
  mutable Tbl val_F_plus ; 
  mutable Tbl val_F_minus ; 
  mutable Tbl val_dF_plus ; 
  mutable Tbl val_dF_minus ; 
  mutable Tbl val_G_plus ; 
  mutable Tbl val_G_minus ; 
  mutable Tbl val_dG_plus ; 
  mutable Tbl val_dG_minus ; 

 private:
  void compute_val_F(int, int, int) const ; 
  void compute_val_G(int) const ; 

 public:
  Param_elliptic (const Scalar&) ;
  ~Param_elliptic() ; 
  
  const Map_radial& get_mp() const ;
  double get_alpha (int) const ;
  double get_beta (int) const ;
  int get_type (int) const ;

 public:  
  void set_helmholtz_minus (int zone, double mas, Scalar& so) ;
  void set_poisson_pseudo_1d (Scalar& so) ;
  void set_helmholtz_minus_pseudo_1d (int zone, double mas, Scalar& so) ;

  void set_helmholtz_plus (int zone, double mas, Scalar& so) ; 
 
  void set_poisson_2d (const Scalar &, bool indic = false) ;  
  
  void set_helmholtz_minus_2d (int zone, double mas, const Scalar&) ; 

  void set_sec_order_r2 (int zone, double a, double b, double c) ;
  
  void set_sec_order (int zone, double a, double b, double c) ;
   
  void set_ope_vorton (int zone, Scalar& so) ;
  void set_poisson_vect_r(int zone, bool only_l_zero = false) ; 

  void set_poisson_vect_eta(int zone) ; 

  void set_poisson_tens_rr(int zone) ; 

  void inc_l_quant (int zone) ;
  
  void set_variable_F (const Scalar&) ;

  void set_variable_G (const Scalar&) ;

  double F_plus (int zone, int k, int j) const ;

  double F_minus (int zone, int k, int j) const ;

  double dF_plus (int zone, int k, int j) const ;
 
  double dF_minus (int zone, int k, int j) const ;

  double G_plus (int zone) const ;

  double G_minus (int zone) const ;

  double dG_plus (int zone) const ;
 
  double dG_minus (int zone) const ;

  // A lot of friend functions... Possiblement pas toutes utiles...
  friend Mtbl_cf elliptic_solver  (const Param_elliptic&, const Mtbl_cf&) ;
  friend Mtbl_cf elliptic_solver_boundary (const Param_elliptic&, const Mtbl_cf&, const Mtbl_cf& bound, double fact_dir, double fact_neu   ) ;
  friend Mtbl_cf elliptic_solver_no_zec  
    (const Param_elliptic&, const Mtbl_cf&, double) ;
  friend Mtbl_cf elliptic_solver_only_zec  
    (const Param_elliptic&, const Mtbl_cf&, double) ;
  friend Mtbl_cf elliptic_solver_sin_zec  
    (const Param_elliptic&, const Mtbl_cf&, double*, double*) ;
  friend Mtbl_cf elliptic_solver_fixe_der_zero  
    (double, const Param_elliptic&, const Mtbl_cf&) ;

  friend void Map_af::sol_elliptic(Param_elliptic&, const Scalar&, Scalar&) const ;
  friend void Map_af::sol_elliptic_boundary(Param_elliptic&, const Scalar&, Scalar&, const Mtbl_cf& , 
                        double , double ) const ;
  friend void Map_af::sol_elliptic_boundary(Param_elliptic&, const Scalar&, Scalar&, const Scalar& , 
                        double , double ) const ;


  friend void Map_af::sol_elliptic_no_zec(Param_elliptic&, const Scalar&, Scalar&, double) const ;
  friend void Map_af::sol_elliptic_only_zec(Param_elliptic&, const Scalar&, Scalar&, double) const ;
  friend void Map_af::sol_elliptic_sin_zec(Param_elliptic&, const Scalar&, Scalar&, double*, double*) const ;
  friend void Map_af::sol_elliptic_fixe_der_zero(double, Param_elliptic&, const Scalar&, Scalar&) const ;

  friend void Map_af::sol_elliptic_2d(Param_elliptic&, const Scalar&, Scalar&) const ;
  friend void Map_af::sol_elliptic_pseudo_1d(Param_elliptic&, const Scalar&, Scalar&) const ;

  friend void Map_log::sol_elliptic(Param_elliptic&, const Scalar&, Scalar&) const ;
  friend void Map_log::sol_elliptic_boundary(Param_elliptic&, const Scalar&, Scalar&, const Mtbl_cf&, 
                         double, double) const ;
 
 friend void Map_log::sol_elliptic_boundary(Param_elliptic&, const Scalar&, Scalar&, const Scalar&, 
                         double, double) const ;


  friend void Map_log::sol_elliptic_no_zec(Param_elliptic&, const Scalar&, Scalar&, double) const ;
} ;

#endif

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