comb_lin_helmholtz_minus.C

/*
 *   Copyright (c) 1999-2001 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 as published by
 *   the Free Software Foundation; either version 2 of the License, or
 *   (at your option) any later version.
 *
 *   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
 *
 */


char comb_lin_helmholtz_minusC[] = "$Header $" ;

/*
 * $Id: comb_lin_helmholtz_minus.C,v 1.5 2008/07/08 11:45:28 p_grandclement Exp $
 * $Log: comb_lin_helmholtz_minus.C,v $
 * Revision 1.5  2008/07/08 11:45:28  p_grandclement
 * Add helmholtz_minus in the nucleus
 *
 * Revision 1.4  2008/02/18 13:53:42  j_novak
 * Removal of special indentation instructions.
 *
 * Revision 1.3  2004/08/24 09:14:44  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 1.2  2004/01/15 09:15:37  p_grandclement
 * Modification and addition of the Helmholtz operators
 *
 * Revision 1.1  2003/12/11 14:48:49  p_grandclement
 * Addition of ALL (and that is a lot !) the files needed for the general elliptic solver ... UNDER DEVELOPEMENT...
 *
 * 
 * $Header: /cvsroot/Lorene/C++/Source/Non_class_members/PDE/comb_lin_helmholtz_minus.C,v 1.5 2008/07/08 11:45:28 p_grandclement Exp $
 *
 */

//fichiers includes
#include <stdio.h>
#include <stdlib.h>
#include <math.h>

#include "matrice.h"
#include "type_parite.h"
#include "proto.h"


// Version Matrice --> Matrice
Matrice _cl_helmholtz_minus_pas_prevu (const Matrice& so) {
  cout << "CL Helmholtz minus not implemented" << endl ;
    abort() ;
    exit(-1) ;
    return so;
}



        //-------------------
           //--  R_CHEB   ------
          //-------------------

Matrice _cl_helmholtz_minus_r_cheb (const Matrice& source) {

  int n = source.get_dim(0) ;
  assert (n==source.get_dim(1)) ;
   
  Matrice barre(source) ;
  int dirac = 1 ;
  for (int i=0 ; i<n-2 ; i++) {
    for (int j=0 ; j<n ; j++)
      barre.set(i, j) = ((1+dirac)*source(i, j)-source(i+2, j))
    /(i+1) ;
    if (i==0) dirac = 0 ;
  }
  
  Matrice res(barre) ;
  for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
      res.set(i, j) = barre(i, j)-barre(i+2, j) ;
  
  return res ;
} 
 

               //-------------------
           //--  R_CHEBU  ------
          //-------------------

Matrice _cl_helmholtz_minus_r_chebu (const Matrice& source) {
  
  int n = source.get_dim(0) ;
  assert (n==source.get_dim(1)) ;

  Matrice barre(source) ;
  int dirac = 1 ;
  for (int i=0 ; i<n-2 ; i++) {
    for (int j=0 ; j<n ; j++)
      barre.set(i, j) = ((1+dirac)*source(i, j)-source(i+2, j)) ;
    if (i==0) dirac = 0 ;
  }
  
  Matrice tilde(barre) ;
  for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
      tilde.set(i, j) = (barre(i, j)-barre(i+2, j)) ;
  
  Matrice hat(tilde) ;
  for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
      hat.set(i, j) = (tilde(i, j)+tilde(i+1, j)) ;
  
  Matrice res(hat) ;
  for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
      res.set(i, j) = hat(i, j)-hat(i+1, j) ;
  
  return res ;
} 
  
        //-------------------
           //--  R_CHEBP   -----
          //-------------------


Matrice _cl_helmholtz_minus_r_chebp (const Matrice &source) {
    int n = source.get_dim(0) ;
  assert (n==source.get_dim(1)) ;

  Matrice barre(source) ;
  
    int dirac = 1 ;
    for (int i=0 ; i<n-2 ; i++) {
    for (int j=0 ; j<n ; j++)
        barre.set(i, j) = (1+dirac)*source(i, j)-source(i+2, j) ;
    if (i==0) dirac = 0 ;
    }

    Matrice tilde(barre) ;
    for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
        tilde.set(i, j) = barre(i, j)-barre(i+2, j) ;

    Matrice res(tilde) ;
    for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
        res.set(i, j) = tilde(i, j)-tilde(i+1, j) ;
    return res ;
}

        //-------------------
           //--  R_CHEBI   -----
          //-------------------


Matrice _cl_helmholtz_minus_r_chebi (const Matrice &source) {
     int n = source.get_dim(0) ;
  assert (n==source.get_dim(1)) ;

 Matrice barre(source) ;
   
    for (int i=0 ; i<n-2 ; i++)
    for (int j=0 ; j<n ; j++)
        barre.set(i, j) = source(i, j)-source(i+2, j) ;

    Matrice tilde(barre) ;
    for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
        tilde.set(i, j) = barre(i, j)-barre(i+2, j) ;    

    Matrice res(tilde) ;
    for (int i=0 ; i<n-4 ; i++)
    for (int j=0 ; j<n ; j++)
        res.set(i, j) = tilde(i, j)-tilde(i+1, j) ;
    return res ;
}

                //-------------------------
           //- La routine a appeler ---
          //---------------------------

Matrice cl_helmholtz_minus (const Matrice &source, int base_r) {
    
        // Routines de derivation
    static Matrice (*cl_helmholtz_minus[MAX_BASE]) (const Matrice &) ;
    static int nap = 0 ;
    
    // Premier appel
    if (nap==0) {
      nap = 1 ;
      for (int i=0 ; i<MAX_BASE ; i++) {
    cl_helmholtz_minus[i] = _cl_helmholtz_minus_pas_prevu ;
    }
      // Les routines existantes
      cl_helmholtz_minus[R_CHEB >> TRA_R] = _cl_helmholtz_minus_r_cheb ;
      cl_helmholtz_minus[R_CHEBU >> TRA_R] = _cl_helmholtz_minus_r_chebu ;
      cl_helmholtz_minus[R_CHEBP >> TRA_R] = _cl_helmholtz_minus_r_chebp ;
      cl_helmholtz_minus[R_CHEBI >> TRA_R] = _cl_helmholtz_minus_r_chebi ;
    }
    
    Matrice res(cl_helmholtz_minus[base_r](source)) ;
    return res ;
}


//************************ TBL Versions *************************************




Tbl _cl_helmholtz_minus_pas_prevu (const Tbl &so) {

  cout << "Linear combination for Helmholtz minus not implemented..." << endl ;
  abort() ;
  exit(-1) ;
  return so;
}

               //-------------------
           //--  R_CHEB  -------
          //--------------------
Tbl _cl_helmholtz_minus_r_cheb (const Tbl& source) {
  
  int n = source.get_dim(0) ;
  
  Tbl barre(source) ;
  int dirac = 1 ;
  for (int i=0 ; i<n-2 ; i++) {
    barre.set(i) = ((1+dirac)*source(i)-source(i+2))
      /(i+1) ;
    if (i==0) dirac = 0 ;
  }
  
  Tbl res(barre) ;
  for (int i=0 ; i<n-4 ; i++)
    res.set(i) = barre(i)-barre(i+2) ;

  return res ;
}
            

                //------------------
           //--  R_CHEBU -------
          //--------------------

Tbl _cl_helmholtz_minus_r_chebu (const Tbl& source) {

  int n = source.get_dim(0) ;
  
  Tbl barre(source) ;
  int dirac = 1 ;
  for (int i=0 ; i<n-2 ; i++) {
    barre.set(i) = ((1+dirac)*source(i)-source(i+2)) ;
    if (i==0) dirac = 0 ;
  }
  
  Tbl tilde(barre) ;
  for (int i=0 ; i<n-4 ; i++)
    tilde.set(i) = (barre(i)-barre(i+2)) ;

  Tbl hat(tilde) ;
  for (int i=0 ; i<n-4 ; i++)
    hat.set(i) = (tilde(i)+tilde(i+1)) ;

  Tbl res(hat) ;
  for (int i=0 ; i<n-4 ; i++)
    res.set(i) = hat(i)-hat(i+1) ;

  return res ;
}
  
        //-------------------
           //--  R_CHEBP   -----
          //-------------------


Tbl _cl_helmholtz_minus_r_chebp (const Tbl &source) {
   int n = source.get_dim(0) ;
   Tbl barre(source) ;
  
    int dirac = 1 ;
    for (int i=0 ; i<n-2 ; i++) {
        barre.set(i) = (1+dirac)*source(i)-source(i+2) ;
    if (i==0) dirac = 0 ;
    }

    Tbl tilde(barre) ;
    for (int i=0 ; i<n-4 ; i++)
        tilde.set(i) = barre(i)-barre(i+2) ;

    Tbl res(tilde) ;
    for (int i=0 ; i<n-4 ; i++)
        res.set(i) = tilde(i)-tilde(i+1) ;
    return res ;
}

        //-------------------
           //--  R_CHEBI   -----
          //-------------------


Tbl _cl_helmholtz_minus_r_chebi (const Tbl &source) {
    int n = source.get_dim(0) ;
  Tbl barre(source) ;
   
    for (int i=0 ; i<n-2 ; i++)
        barre.set(i) = source(i)-source(i+2) ;

    Tbl tilde(barre) ;
    for (int i=0 ; i<n-4 ; i++)
        tilde.set(i) = barre(i)-barre(i+2) ;    

    Tbl res(tilde) ;
    for (int i=0 ; i<n-4 ; i++)
        res.set(i) = tilde(i)-tilde(i+1) ;
    return res ;
}
        //----------------------------
           //- Routine a appeler        ---
          //------------------------------

Tbl cl_helmholtz_minus (const Tbl &source, int base_r) {
    
  // Routines de derivation
  static Tbl (*cl_helmholtz_minus[MAX_BASE])(const Tbl &) ;
  static int nap = 0 ;
  
  // Premier appel
  if (nap==0) {
    nap = 1 ;
    for (int i=0 ; i<MAX_BASE ; i++) {
      cl_helmholtz_minus[i] = _cl_helmholtz_minus_pas_prevu ;
    }
    // Les routines existantes
    cl_helmholtz_minus[R_CHEB >> TRA_R] = _cl_helmholtz_minus_r_cheb ;
    cl_helmholtz_minus[R_CHEBU >> TRA_R] = _cl_helmholtz_minus_r_chebu ; 
    cl_helmholtz_minus[R_CHEBP >> TRA_R] = _cl_helmholtz_minus_r_chebp ;
    cl_helmholtz_minus[R_CHEBI >> TRA_R] = _cl_helmholtz_minus_r_chebi ;
  }
    
    Tbl res(cl_helmholtz_minus[base_r](source)) ;
    return res ;
}

---