LORENE
solp_helmholtz_plus.C
1/*
2 * Copyright (c) 1999-2001 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 as published by
8 * the Free Software Foundation; either version 2 of the License, or
9 * (at your option) any later version.
10 *
11 * LORENE is distributed in the hope that it will be useful,
12 * but WITHOUT ANY WARRANTY; without even the implied warranty of
13 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 * GNU General Public License for more details.
15 *
16 * You should have received a copy of the GNU General Public License
17 * along with LORENE; if not, write to the Free Software
18 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
19 *
20 */
21
22
23char solp_helmholtz_plus_C[] = "$Header: /cvsroot/Lorene/C++/Source/Non_class_members/PDE/solp_helmholtz_plus.C,v 1.5 2014/10/13 08:53:31 j_novak Exp $" ;
24
25/*
26 * $Id: solp_helmholtz_plus.C,v 1.5 2014/10/13 08:53:31 j_novak Exp $
27 * $Log: solp_helmholtz_plus.C,v $
28 * Revision 1.5 2014/10/13 08:53:31 j_novak
29 * Lorene classes and functions now belong to the namespace Lorene.
30 *
31 * Revision 1.4 2014/10/06 15:16:10 j_novak
32 * Modified #include directives to use c++ syntax.
33 *
34 * Revision 1.3 2008/02/18 13:53:45 j_novak
35 * Removal of special indentation instructions.
36 *
37 * Revision 1.2 2004/01/15 09:15:37 p_grandclement
38 * Modification and addition of the Helmholtz operators
39 *
40 * Revision 1.1 2003/12/11 14:48:49 p_grandclement
41 * Addition of ALL (and that is a lot !) the files needed for the general elliptic solver ... UNDER DEVELOPEMENT...
42 *
43 *
44 * $Header: /cvsroot/Lorene/C++/Source/Non_class_members/PDE/solp_helmholtz_plus.C,v 1.5 2014/10/13 08:53:31 j_novak Exp $
45 *
46 */
47
48//fichiers includes
49#include <cstdio>
50#include <cstdlib>
51#include <cmath>
52
53#include "matrice.h"
54#include "type_parite.h"
55#include "proto.h"
56
57 //------------------------------------
58 // Routine pour les cas non prevus --
59 //------------------------------------
60namespace Lorene {
61Tbl _solp_helmholtz_plus_pas_prevu (const Matrice &, const Matrice &,
62 const Tbl &, double, double) {
63 cout << " Solution homogene pas prevue ..... : "<< endl ;
64 abort() ;
65 exit(-1) ;
66 Tbl res(1) ;
67 return res;
68}
69
70
71
72 //-------------------
73 //-- R_CHEB -----
74 //-------------------
75Tbl _solp_helmholtz_plus_r_cheb (const Matrice &lap, const Matrice &nondege,
76 const Tbl &source, double alpha, double beta) {
77
78 int n = lap.get_dim(0) ;
79 int dege = n-nondege.get_dim(0) ;
80 assert (dege ==2) ;
81
82 Tbl source_aux(source*alpha*alpha) ;
83 Tbl xso(source_aux) ;
84 Tbl xxso(source_aux) ;
85 multx_1d(n, &xso.t, R_CHEB) ;
86 multx_1d(n, &xxso.t, R_CHEB) ;
87 multx_1d(n, &xxso.t, R_CHEB) ;
88 source_aux = beta*beta/alpha/alpha*source_aux+2*beta/alpha*xso+xxso ;
89
90 source_aux = cl_helmholtz_plus (source_aux, R_CHEB) ;
91
92 Tbl so(n-dege) ;
93 so.set_etat_qcq() ;
94 for (int i=0 ; i<n-dege ; i++)
95 so.set(i) = source_aux(i) ;
96
97 Tbl auxi(nondege.inverse(so)) ;
98
99 Tbl res(n) ;
100 res.set_etat_qcq() ;
101 for (int i=dege ; i<n ; i++)
102 res.set(i) = auxi(i-dege) ;
103
104 for (int i=0 ; i<dege ; i++)
105 res.set(i) = 0 ;
106 return res ;
107}
108
109 //-------------------
110 //-- R_CHEBP ----
111 //-------------------
112Tbl _solp_helmholtz_plus_r_chebp (const Matrice &lap, const Matrice &nondege,
113 const Tbl &source, double alpha, double) {
114
115 int n = lap.get_dim(0) ;
116 int dege = n-nondege.get_dim(0) ;
117 assert (dege ==1) ;
118
119 Tbl source_aux(source*alpha*alpha) ;
120 source_aux = cl_helmholtz_plus (source_aux, R_CHEBP) ;
121
122 Tbl so(n-dege) ;
123 so.set_etat_qcq() ;
124 for (int i=0 ; i<n-dege ; i++)
125 so.set(i) = source_aux(i) ;
126
127 Tbl auxi(nondege.inverse(so)) ;
128
129 Tbl res(n) ;
130 res.set_etat_qcq() ;
131 for (int i=dege ; i<n ; i++)
132 res.set(i) = auxi(i-dege) ;
133
134 for (int i=0 ; i<dege ; i++)
135 res.set(i) = 0 ;
136 return res ;
137}
138 //-------------------
139 //-- Fonction ----
140 //-------------------
141
142
143Tbl solp_helmholtz_plus (const Matrice &lap, const Matrice &nondege,
144 const Tbl &source, double alpha, double beta,
145 int base_r) {
146
147 // Routines de derivation
148 static Tbl (*solp_helmholtz_plus[MAX_BASE]) (const Matrice&, const Matrice&,
149 const Tbl&, double, double) ;
150 static int nap = 0 ;
151
152 // Premier appel
153 if (nap==0) {
154 nap = 1 ;
155 for (int i=0 ; i<MAX_BASE ; i++) {
156 solp_helmholtz_plus[i] = _solp_helmholtz_plus_pas_prevu ;
157 }
158 // Les routines existantes
159 solp_helmholtz_plus[R_CHEB >> TRA_R] = _solp_helmholtz_plus_r_cheb ;
160 solp_helmholtz_plus[R_CHEBP >> TRA_R] = _solp_helmholtz_plus_r_chebp ;
161 }
162
163 Tbl res(solp_helmholtz_plus[base_r] (lap, nondege, source, alpha, beta)) ;
164 return res ;
165}
166}
int get_dim(int i) const
Gives the i-th dimension (ie dim.dim[i])
Definition tbl.h:403
#define MAX_BASE
Nombre max. de bases differentes.
#define TRA_R
Translation en R, used for a bitwise shift (in hex)
#define R_CHEB
base de Chebychev ordinaire (fin)
#define R_CHEBP
base de Cheb. paire (rare) seulement
Lorene prototypes.
Definition app_hor.h:64