ope_helmholtz_minus_2d_mat.C

/*
 *   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
 *
 */

 

/*
 * $Id: ope_helmholtz_minus_2d_mat.C,v 1.4 2016/12/05 16:18:11 j_novak Exp $
 * $Header: /cvsroot/Lorene/C++/Source/Ope_elementary/Ope_helmholtz_minus_2d/ope_helmholtz_minus_2d_mat.C,v 1.4 2016/12/05 16:18:11 j_novak Exp $
 *
 */
#include <cmath>
#include <cstdlib>

#include "proto.h"
#include "ope_elementary.h"

        //-----------------------------------
        // Routine pour les cas non prevus --
        //-----------------------------------

namespace Lorene {
Matrice _helmholtz_minus_2d_mat_pas_prevu(int, int, double, double, 
                      double, int) {
    cout << "Operateur pas prevu..." << endl ;
    abort() ;
    exit(-1) ;
    Matrice res(1, 1) ;
    return res;
}



           //-------------------------
           //--   CAS R_CHEBU    -----
           //-------------------------

Matrice _helmholtz_minus_2d_mat_r_chebu_deux(int,int,double, double) ;

Matrice _helmholtz_minus_2d_mat_r_chebu( int n, int l, double masse, 
                     double alpha, double, int puis) {
  Matrice res(n-2, n-2) ; 
  res.set_etat_qcq() ;
  switch (puis) {
  case 2 :
    res = _helmholtz_minus_2d_mat_r_chebu_deux (n, l, masse, alpha) ;
    break ;
  default :
    abort() ;
    exit(-1) ;
  }
  return res ;
}

    //Cas ou dzpuis = 2
Matrice _helmholtz_minus_2d_mat_r_chebu_deux (int n, int l, double masse, 
                          double alpha) {
        
  Matrice res(n-2, n-2) ;
  res.set_etat_qcq() ;
  double* vect = new double[n] ;
  double* vect_bis = new double[n] ;
  double* vect_dd = new double[n] ;
  double* vect_d = new double[n] ;
  
  for (int i=0 ; i<n-2 ; i++) {
    for (int j=0 ; j<n ; j++)
      vect[j] = 0 ;
    vect[i] = 2*i+3 ;
    vect[i+1] = -4*i-4 ;
    vect[i+2] = 2*i+1 ;

    // Der sec.
    for (int j=0 ; j<n ; j++)
      vect_bis[j] = vect[j] ;
    
    d2sdx2_1d (n, &vect_bis, R_CHEBU) ;  // appel dans le cas unsurr
    mult2_xm1_1d_cheb (n, vect_bis, vect_dd) ; // multiplication par (x-1)^2
    
    // Der simple
    for (int j=0 ; j<n ; j++)
      vect_bis[j] = vect[j] ;

    dsdx_1d (n, &vect_bis, R_CHEBU) ;  // appel dans le cas unsurr
    mult_xm1_1d_cheb (n, vect_bis, vect_d) ; // multiplication par (x-1)
    
    // Mass term
    for (int j=0 ; j<n ; j++)
      vect_bis[j] = vect[j] ;
    sx2_1d (n, &vect_bis, R_CHEBU) ;
    
    for (int j=0 ; j<n-2 ; j++)
      res.set(j,i) = vect_dd[j] + vect_d[j] - l*l*vect[j] - masse*masse/alpha/alpha*vect_bis[j] ; 
  }

  delete [] vect ;
  delete [] vect_bis ;
  delete [] vect_dd ;
  delete [] vect_d ;
  
  return res ;
} 


           //-------------------------
           //--   CAS R_CHEB    -----
           //-----------------------
            

Matrice _helmholtz_minus_2d_mat_r_cheb (int n, int l, double masse, 
                    double alf, double bet, int) {
            
  double echelle = bet / alf ;

  Matrice dd(n, n) ;
  dd.set_etat_qcq() ;
  Matrice xd(n, n) ;
  xd.set_etat_qcq() ;
  Matrice xx(n, n) ;
  xx.set_etat_qcq() ;
  
  double* vect = new double[n] ;
  
  for (int i=0 ; i<n ; i++) {
    for (int j=0 ; j<n ; j++)
      vect[j] = 0 ;
    vect[i] = 1 ;
    d2sdx2_1d (n, &vect, R_CHEB) ;  // appel dans le cas fin
    vect[i] -= masse*masse*alf*alf  ;
    for (int j=0 ; j<n ; j++)
      dd.set(j, i) = vect[j]*echelle*echelle ;
  }
  
  for (int i=0 ; i<n ; i++) {
    for (int j=0 ; j<n ; j++)
      vect[j] = 0 ;
    vect[i] = 1 ;
    d2sdx2_1d (n, &vect, R_CHEB) ;  // appel dans le cas fin
    vect[i] -= masse*masse*alf*alf ;
    multx_1d (n, &vect, R_CHEB) ;
    for (int j=0 ; j< n ; j++)
      dd.set(j, i) += 2*echelle*vect[j] ;
  }
  
  for (int i=0 ; i<n ; i++) {
    for (int j=0 ; j<n ; j++)
      vect[j] = 0 ;
    vect[i] = 1 ;
    d2sdx2_1d (n, &vect, R_CHEB) ;  // appel dans le cas fin
    vect[i] -= masse*masse*alf*alf ;
    multx_1d (n, &vect, R_CHEB) ;
    multx_1d (n, &vect, R_CHEB) ;
    for (int j=0 ; j<n ; j++)
      dd.set(j, i) += vect[j] ;
  }
  
  for (int i=0 ; i<n ; i++) {
    for (int j=0 ; j<n ; j++)
      vect[j] = 0 ;
    vect[i] = 1 ;
    sxdsdx_1d (n, &vect, R_CHEB) ;
    for (int j=0 ; j<n ; j++)
      xd.set(j, i) = vect[j]*echelle ;
  }
  
  for (int i=0 ; i<n ; i++) {
    for (int j=0 ; j<n ; j++)
      vect[j] = 0 ;
    vect[i] = 1 ;
    sxdsdx_1d (n, &vect, R_CHEB) ;
    multx_1d (n, &vect, R_CHEB) ;
    for (int j=0 ; j<(n>i+1 ? i+1 : n) ; j++)
      xd.set(j, i) += vect[j] ;
  }
  
  for (int i=0 ; i<n ; i++) {
    for (int j=0 ; j<n ; j++)
      vect[j] = 0 ;
    vect[i] = 1 ;
    sx2_1d (n, &vect, R_CHEB) ;
    for (int j=0 ; j<n ; j++)
      xx.set(j, i) = vect[j] ;
  }
  
  delete [] vect ;
  
  Matrice res(n, n) ;
  res = dd+xd-l*l*xx ;
  
  return res ;
} 
    

void Ope_helmholtz_minus_2d::do_ope_mat() const {
  if (ope_mat != 0x0) 
    delete ope_mat ;

  // Routines de derivation
  static Matrice (*helmholtz_minus_2d_mat[MAX_BASE])(int, int, double, 
                             double, double, int);
  static int nap = 0 ;
  
  // Premier appel
  if (nap==0) {
    nap = 1 ;
    for (int i=0 ; i<MAX_BASE ; i++) {
      helmholtz_minus_2d_mat[i] = _helmholtz_minus_2d_mat_pas_prevu ;
    }
    // Les routines existantes
    helmholtz_minus_2d_mat[R_CHEB >> TRA_R] = _helmholtz_minus_2d_mat_r_cheb ;
    helmholtz_minus_2d_mat[R_CHEBU >> TRA_R] = _helmholtz_minus_2d_mat_r_chebu ;
  }
  ope_mat = new Matrice(helmholtz_minus_2d_mat[base_r](nr, l_quant, masse, 
                               alpha, beta, dzpuis)) ;
}
}