LORENE
valeur_d2sdx2.C
1 /*
2  * Computation of d^2/dx^2
3  *
4  * for:
5  * - Valeur
6  * - Mtbl_cf
7  */
8 
9 /*
10  * Copyright (c) 1999-2000 Jean-Alain Marck
11  * Copyright (c) 1999-2001 Eric Gourgoulhon
12  *
13  * This file is part of LORENE.
14  *
15  * LORENE is free software; you can redistribute it and/or modify
16  * it under the terms of the GNU General Public License as published by
17  * the Free Software Foundation; either version 2 of the License, or
18  * (at your option) any later version.
19  *
20  * LORENE is distributed in the hope that it will be useful,
21  * but WITHOUT ANY WARRANTY; without even the implied warranty of
22  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
23  * GNU General Public License for more details.
24  *
25  * You should have received a copy of the GNU General Public License
26  * along with LORENE; if not, write to the Free Software
27  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
28  *
29  */
30 
31 
32 char valeur_d2sdx2_C[] = "$Header: /cvsroot/Lorene/C++/Source/Valeur/valeur_d2sdx2.C,v 1.6 2014/10/13 08:53:49 j_novak Exp $" ;
33 
34 /*
35  * $Id: valeur_d2sdx2.C,v 1.6 2014/10/13 08:53:49 j_novak Exp $
36  * $Log: valeur_d2sdx2.C,v $
37  * Revision 1.6 2014/10/13 08:53:49 j_novak
38  * Lorene classes and functions now belong to the namespace Lorene.
39  *
40  * Revision 1.5 2014/10/06 15:13:23 j_novak
41  * Modified #include directives to use c++ syntax.
42  *
43  * Revision 1.4 2013/06/14 15:54:07 j_novak
44  * Inclusion of Legendre bases.
45  *
46  * Revision 1.3 2008/08/27 08:52:55 jl_cornou
47  * Added Jacobi(0,2) polynomials case
48  *
49  * Revision 1.2 2004/11/23 15:17:19 m_forot
50  * Added the bases for the cases without any equatorial symmetry
51  * (T_COSSIN_C, T_COSSIN_S, T_LEG, R_CHEBPI_P, R_CHEBPI_I).
52  *
53  * Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
54  * LORENE
55  *
56  * Revision 2.9 2000/08/16 10:46:03 eric
57  * Suppression de Mtbl_cf::dzpuis.
58  *
59  * Revision 2.8 1999/11/30 12:43:41 eric
60  * Valeur::base est desormais du type Base_val et non plus Base_val*.
61  *
62  * Revision 2.7 1999/11/23 16:16:32 eric
63  * Reorganisation du calcul dans le cas ETATZERO.
64  *
65  * Revision 2.6 1999/11/19 09:30:38 eric
66  * La valeur de retour est desormais const Valeur &.
67  *
68  * Revision 2.5 1999/10/28 07:59:29 eric
69  * Modif commentaires.
70  *
71  * Revision 2.4 1999/10/18 13:41:11 eric
72  * Suppression de l'argument base dans les routines de derivation des mtbl_cf.
73  *
74  * Revision 2.3 1999/09/07 15:43:08 phil
75  * coreection bases
76  *
77  * Revision 2.2 1999/03/01 15:08:40 eric
78  * *** empty log message ***
79  *
80  * Revision 2.1 1999/02/23 10:39:02 hyc
81  * *** empty log message ***
82  *
83  *
84  * $Header: /cvsroot/Lorene/C++/Source/Valeur/valeur_d2sdx2.C,v 1.6 2014/10/13 08:53:49 j_novak Exp $
85  *
86  */
87 
88 // Headers C
89 #include <cassert>
90 
91 // Headers Lorene
92 #include "mtbl_cf.h"
93 #include "valeur.h"
94 
95 // Prototypage temporaire
96 namespace Lorene {
97 void _d2sdx2_pas_prevu(Tbl *, int &) ;
98 void _d2sdx2_r_cheb(Tbl *, int &) ;
99 void _d2sdx2_r_chebu_0(Tbl *, int &) ;
100 void _d2sdx2_r_chebp(Tbl *, int &) ;
101 void _d2sdx2_r_chebi(Tbl *, int &) ;
102 void _d2sdx2_r_chebpim_p(Tbl *, int &) ;
103 void _d2sdx2_r_chebpim_i(Tbl *, int &) ;
104 void _d2sdx2_r_chebpi_p(Tbl *, int &) ;
105 void _d2sdx2_r_chebpi_i(Tbl *, int &) ;
106 void _d2sdx2_r_leg(Tbl *, int &) ;
107 void _d2sdx2_r_legp(Tbl *, int &) ;
108 void _d2sdx2_r_legi(Tbl *, int &) ;
109 void _d2sdx2_r_jaco02(Tbl *, int &) ;
110 
111 // Version membre d'un Valeur
112 // --------------------------
113 
114 const Valeur& Valeur::d2sdx2() const {
115 
116  // Protection
117  assert(etat != ETATNONDEF) ;
118 
119  // Peut-etre rien a faire ?
120  if (p_d2sdx2 != 0x0) {
121  return *p_d2sdx2 ;
122  }
123 
124  // ... si, il faut bosser
125 
126  p_d2sdx2 = new Valeur(mg) ;
127 
128  if (etat == ETATZERO) {
129  p_d2sdx2->set_etat_zero() ;
130  }
131  else {
132  assert(etat == ETATQCQ) ;
134  Mtbl_cf* cfp = p_d2sdx2->c_cf ; // Pointeur sur le Mtbl_cf qui vient d'etre
135  // cree par le set_etat_cf_qcq()
136 
137  // Initialisation de *cfp : recopie des coef. de la fonction
138  if (c_cf == 0x0) {
139  coef() ;
140  }
141  *cfp = *c_cf ;
142 
143  cfp->d2sdx2() ; // calcul
144 
145  p_d2sdx2->base = cfp->base ; // On remonte la base de sortie au niveau Valeur
146  }
147 
148  // Termine
149  return *p_d2sdx2 ;
150 }
151 
152 // Version membre d'un Mtbl_cf
153 // ---------------------------
154 
156 
157 // Routines de derivation
158 static void (*_d2sdx2[MAX_BASE])(Tbl *, int &) ;
159 static int nap = 0 ;
160 
161  // Premier appel
162  if (nap==0) {
163  nap = 1 ;
164  for (int i=0 ; i<MAX_BASE ; i++) {
165  _d2sdx2[i] = _d2sdx2_pas_prevu ;
166  }
167  // Les routines existantes
168  _d2sdx2[R_CHEB >> TRA_R] = _d2sdx2_r_cheb ;
169  _d2sdx2[R_CHEBU >> TRA_R] = _d2sdx2_r_chebu_0 ;
170  _d2sdx2[R_CHEBP >> TRA_R] = _d2sdx2_r_chebp ;
171  _d2sdx2[R_CHEBI >> TRA_R] = _d2sdx2_r_chebi ;
172  _d2sdx2[R_CHEBPIM_P >> TRA_R] = _d2sdx2_r_chebpim_p ;
173  _d2sdx2[R_CHEBPIM_I >> TRA_R] = _d2sdx2_r_chebpim_i ;
174  _d2sdx2[R_CHEBPI_P >> TRA_R] = _d2sdx2_r_chebpi_p ;
175  _d2sdx2[R_CHEBPI_I >> TRA_R] = _d2sdx2_r_chebpi_i ;
176  _d2sdx2[R_LEG >> TRA_R] = _d2sdx2_r_leg ;
177  _d2sdx2[R_LEGP >> TRA_R] = _d2sdx2_r_legp ;
178  _d2sdx2[R_LEGI >> TRA_R] = _d2sdx2_r_legi ;
179  _d2sdx2[R_JACO02 >> TRA_R] = _d2sdx2_r_jaco02 ;
180  }
181 
182  //- Debut de la routine -
183 
184  // Protection
185  assert(etat == ETATQCQ) ;
186 
187  // Boucle sur les zones
188  for (int l=0 ; l<nzone ; l++) {
189  int base_r = (base.b[l] & MSQ_R) >> TRA_R ;
190  assert(t[l] != 0x0) ;
191  _d2sdx2[base_r](t[l], base.b[l]) ;
192  }
193 }
194 }
Mtbl_cf * c_cf
Coefficients of the spectral expansion of the function.
Definition: valeur.h:302
void set_etat_cf_qcq()
Sets the logical state to ETATQCQ (ordinary state) for values in the configuration space (Mtbl_cf c_c...
Definition: valeur.C:712
void coef() const
Computes the coeffcients of *this.
Definition: valeur_coef.C:148
void set_etat_zero()
Sets the logical state to ETATZERO (zero).
Definition: valeur.C:689
#define R_CHEBPI_I
Cheb. pair-impair suivant l impair pour l=0.
Definition: type_parite.h:174
Lorene prototypes.
Definition: app_hor.h:64
Values and coefficients of a (real-value) function.
Definition: valeur.h:287
#define R_LEGP
base de Legendre paire (rare) seulement
Definition: type_parite.h:184
#define R_LEGI
base de Legendre impaire (rare) seulement
Definition: type_parite.h:186
#define R_JACO02
base de Jacobi(0,2) ordinaire (finjac)
Definition: type_parite.h:188
const Valeur & d2sdx2() const
Returns of *this.
#define TRA_R
Translation en R, used for a bitwise shift (in hex)
Definition: type_parite.h:158
const Mg3d * mg
Multi-grid Mgd3 on which this is defined.
Definition: valeur.h:292
#define R_CHEBI
base de Cheb. impaire (rare) seulement
Definition: type_parite.h:170
#define R_CHEBP
base de Cheb. paire (rare) seulement
Definition: type_parite.h:168
Base_val base
Bases on which the spectral expansion is performed.
Definition: valeur.h:305
int * b
Array (size: nzone ) of the spectral basis in each domain.
Definition: base_val.h:331
#define MSQ_R
Extraction de l&#39;info sur R.
Definition: type_parite.h:152
Valeur(const Mg3d &mgrid)
Constructor.
Definition: valeur.C:200
Valeur * p_d2sdx2
Pointer on .
Definition: valeur.h:311
#define R_CHEBPIM_I
Cheb. pair-impair suivant m, impair pour m=0.
Definition: type_parite.h:178
#define R_CHEBPIM_P
Cheb. pair-impair suivant m, pair pour m=0.
Definition: type_parite.h:176
#define R_CHEBPI_P
Cheb. pair-impair suivant l pair pour l=0.
Definition: type_parite.h:172
Coefficients storage for the multi-domain spectral method.
Definition: mtbl_cf.h:186
Base_val base
Bases of the spectral expansions.
Definition: mtbl_cf.h:200
int etat
Logical state (ETATNONDEF , ETATQCQ or ETATZERO ).
Definition: valeur.h:295
Basic array class.
Definition: tbl.h:161
#define R_CHEBU
base de Chebychev ordinaire (fin), dev. en 1/r
Definition: type_parite.h:180
#define MAX_BASE
Nombre max. de bases differentes.
Definition: type_parite.h:144
#define R_LEG
base de Legendre ordinaire (fin)
Definition: type_parite.h:182
#define R_CHEB
base de Chebychev ordinaire (fin)
Definition: type_parite.h:166