solh_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 solh_helmholtz_minusC[] = "$Header $" ;
/*
* $Id: solh_helmholtz_minus.C,v 1.9 2014/10/13 08:53:31 j_novak Exp $
* $Log: solh_helmholtz_minus.C,v $
* Revision 1.9 2014/10/13 08:53:31 j_novak
* Lorene classes and functions now belong to the namespace Lorene.
*
* Revision 1.8 2014/10/06 15:16:10 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.7 2008/07/10 11:20:33 p_grandclement
* mistake fixed in solh_helmholtz_minus
*
* Revision 1.6 2008/07/08 11:45:28 p_grandclement
* Add helmholtz_minus in the nucleus
*
* Revision 1.5 2008/02/18 13:53:43 j_novak
* Removal of special indentation instructions.
*
* Revision 1.4 2004/08/24 10:11:12 p_grandclement
* Correction of the includes of gsl
*
* 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/solh_helmholtz_minus.C,v 1.9 2014/10/13 08:53:31 j_novak Exp $
*
*/
//fichiers includes
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <gsl/gsl_sf_bessel.h>
#include "proto.h"
#include "matrice.h"
#include "type_parite.h"
//------------------------------------
// Routine pour les cas non prevus --
//------------------------------------
namespace Lorene {
Tbl _solh_helmholtz_minus_pas_prevu (int, int, double, double, double) {
cout << "Homogeneous solution not implemented in hemlholtz_minus : "<< endl ;
abort() ;
exit(-1) ;
Tbl res(1) ;
return res;
}
//-------------------
//-- R_CHEB ------
//-------------------
Tbl _solh_helmholtz_minus_r_cheb (int n, int lq, double alpha, double beta,
double masse) {
assert (masse > 0) ;
Tbl res(2,n) ;
res.set_etat_qcq() ;
double* coloc = new double[n] ;
int * deg = new int[3] ;
deg[0] = 1 ;
deg[1] = 1 ;
deg[2] = n ;
// First SH
for (int i=0 ; i<n ; i++){
double air = alpha*(-cos(M_PI*i/(n-1))) + beta ;
coloc[i] = gsl_sf_bessel_il_scaled (lq, masse*air)/exp(-masse*air) ;
}
cfrcheb(deg, deg, coloc, deg, coloc) ;
for (int i=0 ; i<n ;i++)
res.set(0,i) = coloc[i] ;
// Second SH
for (int i=0 ; i<n ; i++){
double air = alpha*(-cos(M_PI*i/(n-1))) + beta ;
coloc[i] = gsl_sf_bessel_kl_scaled (lq, masse*air) / exp(masse*air) ;
}
cfrcheb(deg, deg, coloc, deg, coloc) ;
for (int i=0 ; i<n ;i++)
res.set(1,i) = coloc[i] ;
delete [] deg ;
delete [] coloc ;
return res ;
}
//-------------------
//-- R_CHEBP ------
//-------------------
Tbl _solh_helmholtz_minus_r_chebp (int n, int lq, double alpha, double,
double masse) {
assert (masse > 0) ;
Tbl res(n) ;
res.set_etat_qcq() ;
double* coloc = new double[n] ;
int * deg = new int[3] ;
deg[0] = 1 ;
deg[1] = 1 ;
deg[2] = n ;
// First SH
for (int i=0 ; i<n ; i++){
double air = alpha*(sin(M_PI*i/2./(n-1))) ;
coloc[i] = gsl_sf_bessel_il_scaled (lq, masse*air)/exp(-masse*air) ;
}
cfrchebp(deg, deg, coloc, deg, coloc) ;
for (int i=0 ; i<n ;i++)
res.set(i) = coloc[i] ;
delete [] deg ;
delete [] coloc ;
return res ;
}
//-------------------
//-- R_CHEBI ------
//-------------------
Tbl _solh_helmholtz_minus_r_chebi (int n, int lq, double alpha, double,
double masse) {
assert (masse > 0) ;
Tbl res(n) ;
res.set_etat_qcq() ;
double* coloc = new double[n] ;
int * deg = new int[3] ;
deg[0] = 1 ;
deg[1] = 1 ;
deg[2] = n ;
// First SH
for (int i=0 ; i<n ; i++){
double air = alpha*(sin(M_PI*i/2./(n-1))) ;
coloc[i] = gsl_sf_bessel_il_scaled (lq, masse*air)/exp(-masse*air) ;
}
cfrchebi(deg, deg, coloc, deg, coloc) ;
for (int i=0 ; i<n ;i++)
res.set(i) = coloc[i] ;
delete [] deg ;
delete [] coloc ;
return res ;
}
//-------------------
//-- R_CHEBU ------
//-------------------
Tbl _solh_helmholtz_minus_r_chebu (int n, int lq,
double alpha, double, double masse) {
assert (masse > 0) ;
Tbl res(n) ;
res.set_etat_qcq() ;
double* coloc = new double[n] ;
int * deg = new int[3] ;
deg[0] = 1 ;
deg[1] = 1 ;
deg[2] = n ;
for (int i=0 ; i<n-1 ; i++){
double air = 1./(alpha*(-1-cos(M_PI*i/(n-1)))) ;
coloc[i] = gsl_sf_bessel_kl_scaled (lq, masse*air) / exp(masse*air) ;
}
coloc[n-1] = 0 ;
cfrcheb(deg, deg, coloc, deg, coloc) ;
for (int i=0 ; i<n ;i++)
res.set(i) = coloc[i] ;
delete [] deg ;
delete [] coloc ;
return res ;
}
//-------------------
//-- Fonction ----
//-------------------
Tbl solh_helmholtz_minus (int n, int lq, double alpha, double beta,
double masse, int base_r) {
// Routines de derivation
static Tbl (*solh_helmholtz_minus[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++) {
solh_helmholtz_minus[i] = _solh_helmholtz_minus_pas_prevu ;
}
// Les routines existantes
solh_helmholtz_minus[R_CHEB >> TRA_R] = _solh_helmholtz_minus_r_cheb ;
solh_helmholtz_minus[R_CHEBU >> TRA_R] = _solh_helmholtz_minus_r_chebu ;
solh_helmholtz_minus[R_CHEBP >> TRA_R] = _solh_helmholtz_minus_r_chebp ;
solh_helmholtz_minus[R_CHEBI >> TRA_R] = _solh_helmholtz_minus_r_chebi ;
}
Tbl res(solh_helmholtz_minus[base_r](n, lq, alpha, beta, masse)) ;
return res ;
}
}
Lorene::Tbl
Basic array class.
Definition tbl.h:161
Lorene::exp
Cmp exp(const Cmp &)
Exponential.
Definition cmp_math.C:270
Lorene::sin
Cmp sin(const Cmp &)
Sine.
Definition cmp_math.C:69
Lorene::cos
Cmp cos(const Cmp &)
Cosine.
Definition cmp_math.C:94
MAX_BASE
#define MAX_BASE
Nombre max. de bases differentes.
Definition type_parite.h:144
R_CHEBU
#define R_CHEBU
base de Chebychev ordinaire (fin), dev. en 1/r
Definition type_parite.h:180
R_CHEBI
#define R_CHEBI
base de Cheb. impaire (rare) seulement
Definition type_parite.h:170
TRA_R
#define TRA_R
Translation en R, used for a bitwise shift (in hex).
Definition type_parite.h:158
R_CHEB
#define R_CHEB
base de Chebychev ordinaire (fin)
Definition type_parite.h:166
R_CHEBP
#define R_CHEBP
base de Cheb. paire (rare) seulement
Definition type_parite.h:168
Lorene
Lorene prototypes.
Definition app_hor.h:64