LORENE
ope_helmholtz_minus_2d_cl.C
1/*
2 * Copyright (c) 2004 Philippe Grandclement
3 *
4 * This file is part of LORENE.
5 *
6 * LORENE is free software; you can redistribute it and/or modify
7 * it under the terms of the GNU General Public License version 2
8 * as published by the Free Software Foundation.
9 *
10 * LORENE is distributed in the hope that it will be useful,
11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 * GNU General Public License for more details.
14 *
15 * You should have received a copy of the GNU General Public License
16 * along with LORENE; if not, write to the Free Software
17 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
18 *
19 */
20
21char ope_helmholtz_minus_2d_cl_C[] = "$Header: /cvsroot/Lorene/C++/Source/Ope_elementary/Ope_helmholtz_minus_2d/ope_helmholtz_minus_2d_cl.C,v 1.3 2014/10/13 08:53:33 j_novak Exp $" ;
22
23/*
24 * $Id: ope_helmholtz_minus_2d_cl.C,v 1.3 2014/10/13 08:53:33 j_novak Exp $
25 * $Header: /cvsroot/Lorene/C++/Source/Ope_elementary/Ope_helmholtz_minus_2d/ope_helmholtz_minus_2d_cl.C,v 1.3 2014/10/13 08:53:33 j_novak Exp $
26 *
27 */
28#include <cmath>
29#include <cstdlib>
30
31#include "proto.h"
32#include "ope_elementary.h"
33
34// Version Matrice --> Matrice
35namespace Lorene {
36Matrice _cl_helmholtz_minus_2d_pas_prevu (const Matrice & source, int) {
37 cout << "Combinaison lineaire pas prevu..." << endl ;
38 abort() ;
39 exit(-1) ;
40 return source;
41}
42
43
44 //-------------------
45 //-- R_CHEB ------
46 //-------------------
47
48Matrice _cl_helmholtz_minus_2d_r_cheb (const Matrice &source, int) {
49 int n = source.get_dim(0) ;
50 assert (n == source.get_dim(1)) ;
51 Matrice barre(source) ;
52 int dirac = 1 ;
53 for (int i=0 ; i<n-2 ; i++) {
54 for (int j=0 ; j<n ; j++)
55 barre.set(i, j) = ((1+dirac)*source(i, j)-source(i+2, j))
56 /(i+1) ;
57 if (i==0) dirac = 0 ;
58 }
59
60 Matrice res(barre) ;
61 for (int i=0 ; i<n-4 ; i++)
62 for (int j=0 ; j<n ; j++)
63 res.set(i, j) = barre(i, j)-barre(i+2, j) ;
64
65 return res ;
66}
67
68 //-------------------
69 //-- R_CHEBU -----
70 //-------------------
71
72Matrice _cl_helmholtz_minus_2d_r_chebu_deux (const Matrice&) ;
73
74
75Matrice _cl_helmholtz_minus_2d_r_chebu (const Matrice &source, int puis) {
76 int n = source.get_dim(0) ;
77 assert (n == source.get_dim(1)) ;
78
79 Matrice res(n, n) ;
80 res.set_etat_qcq() ;
81
82 switch (puis) {
83 case 2 :
84 res = _cl_helmholtz_minus_2d_r_chebu_deux(source) ;
85 break ;
86 default :
87 abort() ;
88 exit(-1) ;
89 }
90
91 return res ;
92}
93
94
95//Cas dzpuis == 2
96Matrice _cl_helmholtz_minus_2d_r_chebu_deux (const Matrice &source) {
97
98 int n = source.get_dim(0) ;
99 assert (n == source.get_dim(1)) ;
100
101 Matrice barre(source) ;
102 int dirac = 1 ;
103 for (int i=0 ; i<n-2 ; i++) {
104 for (int j=0 ; j<n ; j++)
105 barre.set(i, j) = ((1+dirac)*source(i, j)-source(i+2, j)) ;
106 if (i==0) dirac = 0 ;
107 }
108
109 Matrice tilde(barre) ;
110 for (int i=0 ; i<n-4 ; i++)
111 for (int j=0 ; j<n ; j++)
112 tilde.set(i, j) = (barre(i, j)-barre(i+2, j)) ;
113
114 Matrice bis(tilde) ;
115 for (int i=0 ; i<n-4 ; i++)
116 for (int j=0 ; j<n ; j++)
117 bis.set(i, j) = (tilde(i, j)+tilde(i+1, j)) ;
118
119 Matrice res (bis) ;
120 for (int i=0 ; i<n-4 ; i++)
121 for (int j=0 ; j<n ; j++)
122 res.set(i, j) = (bis(i, j)-bis(i+1, j)) ;
123
124 return res ;
125}
126
128 if (ope_mat == 0x0)
129 do_ope_mat() ;
130
131 if (ope_cl != 0x0)
132 delete ope_cl ;
133
134 // Routines de derivation
135 static Matrice (*cl_helmholtz_minus_2d[MAX_BASE])(const Matrice&, int);
136 static int nap = 0 ;
137
138 // Premier appel
139 if (nap==0) {
140 nap = 1 ;
141 for (int i=0 ; i<MAX_BASE ; i++) {
142 cl_helmholtz_minus_2d[i] = _cl_helmholtz_minus_2d_pas_prevu ;
143 }
144 // Les routines existantes
145 cl_helmholtz_minus_2d[R_CHEB >> TRA_R] = _cl_helmholtz_minus_2d_r_cheb ;
146 cl_helmholtz_minus_2d[R_CHEBU >> TRA_R] = _cl_helmholtz_minus_2d_r_chebu ;
147 }
148 ope_cl = new Matrice(cl_helmholtz_minus_2d[base_r](*ope_mat, dzpuis)) ;
149}
150
151
152}
Time evolution with partial storage (*** under development ***).
Definition evolution.h:371
Matrix handling.
Definition matrice.h:152
int get_dim(int i) const
Returns the dimension of the matrix.
Definition matrice.C:260
Matrice * ope_mat
Pointer on the matrix representation of the operator.
int base_r
Radial basis of decomposition.
Matrice * ope_cl
Pointer on the banded-matrix of the operator.
virtual void do_ope_mat() const
Computes the matrix of the operator.
int dzpuis
the associated dzpuis, if in the compactified domain.
virtual void do_ope_cl() const
Computes the banded-matrix of the operator.
#define MAX_BASE
Nombre max. de bases differentes.
#define R_CHEBU
base de Chebychev ordinaire (fin), dev. en 1/r
#define TRA_R
Translation en R, used for a bitwise shift (in hex)
#define R_CHEB
base de Chebychev ordinaire (fin)
Lorene prototypes.
Definition app_hor.h:64