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/*
* 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 helmholtz_plus_mat_C[] = "$$" ;
/*
* $Id: helmholtz_plus_mat.C,v 1.6 2014/10/13 08:53:28 j_novak Exp $
* $Log: helmholtz_plus_mat.C,v $
* Revision 1.6 2014/10/13 08:53:28 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.5 2014/10/06 15:16:08 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.4 2007/05/06 10:48:12 p_grandclement
* Modification of a few operators for the vorton project
*
* Revision 1.3 2004/01/15 09:15:37 p_grandclement
* Modification and addition of the Helmholtz operators
*
* Revision 1.2 2003/12/11 15:57:26 p_grandclement
* include stdlib.h encore ...
*
* 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/helmholtz_plus_mat.C,v 1.6 2014/10/13 08:53:28 j_novak Exp $
*
*/
#include <cstdlib>
#include "matrice.h"
#include "type_parite.h"
#include "proto.h"
//-----------------------------------
// Routine pour les cas non prevus --
//-----------------------------------
namespace Lorene {
Matrice _helmholtz_plus_mat_pas_prevu(int, int, double, double, double) {
cout << "Helmholtz plus : base not implemented..." << endl ;
abort() ;
exit(-1) ;
Matrice res(1, 1) ;
return res;
}
//-------------------------
//-- CAS R_CHEBP -----
//--------------------------
Matrice _helmholtz_plus_mat_r_chebp (int n, int lq, double alpha, double,
double masse) {
assert (masse > 0) ;
Matrice dd(n, n) ;
dd.set_etat_qcq() ;
Matrice xd(n, n) ;
xd.set_etat_qcq() ;
Matrice xx(n, n) ;
xx.set_etat_qcq() ;
Matrice sx2(n, n) ;
sx2.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_CHEBP) ;
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_CHEBP) ;
for (int j=0 ; j<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_CHEBP) ;
for (int j=0 ; j<n ; j++)
sx2.set(j, i) = vect[j] ;
}
for (int i=0 ; i<n ; i++) {
for (int j=0 ; j<n ; j++)
xx.set(i,j) = 0 ;
xx.set(i, i) = 1 ;
}
delete [] vect ;
Matrice res(n, n) ;
res = dd+2*xd-lq*(lq+1)*sx2+masse*masse*alpha*alpha*xx ;
return res ;
}
//-------------------------
//-- CAS R_CHEB -----
//------------------------
Matrice _helmholtz_plus_mat_r_cheb (int n, int lq, double alpha, double beta,
double masse) {
assert (masse > 0) ;
double echelle = beta / alpha ;
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*alpha*alpha ;
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*alpha*alpha ;
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*alpha*alpha ;
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 ; 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+2*xd - lq*(lq+1)*xx;
return res ;
}
//--------------------------
//- La routine a appeler ---
//----------------------------
Matrice helmholtz_plus_mat(int n, int lq, double alpha, double beta, double masse,
int base_r)
{
// Routines de derivation
static Matrice (*helmholtz_plus_mat[MAX_BASE])(int, int, double, double, double);
static int nap = 0 ;
// Premier appel
if (nap==0) {
nap = 1 ;
for (int i=0 ; i<MAX_BASE ; i++) {
helmholtz_plus_mat[i] = _helmholtz_plus_mat_pas_prevu ;
}
// Les routines existantes
helmholtz_plus_mat[R_CHEB >> TRA_R] = _helmholtz_plus_mat_r_cheb ;
helmholtz_plus_mat[R_CHEBP >> TRA_R] = _helmholtz_plus_mat_r_chebp ;
}
Matrice res(helmholtz_plus_mat[base_r](n, lq, alpha, beta, masse)) ;
return res ;
}
}
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