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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 comb_lin_helmholtz_minusC[] = "$Header $" ;
/*
* $Id: comb_lin_helmholtz_minus.C,v 1.7 2014/10/13 08:53:28 j_novak Exp $
* $Log: comb_lin_helmholtz_minus.C,v $
* Revision 1.7 2014/10/13 08:53:28 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.6 2014/10/06 15:16:08 j_novak
* Modified #include directives to use c++ syntax.
*
* 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 1.7 2014/10/13 08:53:28 j_novak Exp $
*
*/
//fichiers includes
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include "matrice.h"
#include "type_parite.h"
#include "proto.h"
// Version Matrice --> Matrice
namespace Lorene {
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 ;
}
}
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