LORENE
cmp_raccord_zec.C
1/*
2 * Copyright (c) 2000-2001 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
23
24
25/*
26 * $Id: cmp_raccord_zec.C,v 1.5 2016/12/05 16:17:49 j_novak Exp $
27 * $Log: cmp_raccord_zec.C,v $
28 * Revision 1.5 2016/12/05 16:17:49 j_novak
29 * Suppression of some global variables (file names, loch, ...) to prevent redefinitions
30 *
31 * Revision 1.4 2014/10/13 08:52:48 j_novak
32 * Lorene classes and functions now belong to the namespace Lorene.
33 *
34 * Revision 1.3 2014/10/06 15:13:04 j_novak
35 * Modified #include directives to use c++ syntax.
36 *
37 * Revision 1.2 2003/10/03 15:58:45 j_novak
38 * Cleaning of some headers
39 *
40 * Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
41 * LORENE
42 *
43 * Revision 2.7 2001/03/30 13:38:32 phil
44 * *** empty log message ***
45 *
46 * Revision 2.6 2001/03/22 10:25:01 phil
47 * changement complet : cas plus general
48 *
49 * Revision 2.5 2001/02/08 14:21:32 phil
50 * correction de raccord_zec.C (on prend en compte le dernier coef ...)
51 *
52 * Revision 2.4 2001/01/02 11:25:37 phil
53 * *** empty log message ***
54 *
55 * Revision 2.3 2000/12/13 14:59:18 phil
56 * *** empty log message ***
57 *
58 * Revision 2.2 2000/12/13 14:49:54 phil
59 * changement nom variable appel
60 * /
61 *
62 * Revision 2.1 2000/12/13 14:12:29 phil
63 * correction bugs
64 *
65 * Revision 2.0 2000/12/13 14:09:31 phil
66 * *** empty log message ***
67 *
68 *
69 * $Header: /cvsroot/Lorene/C++/Source/Cmp/cmp_raccord_zec.C,v 1.5 2016/12/05 16:17:49 j_novak Exp $
70 *
71 */
72
73//standard
74#include <cstdlib>
75#include <cmath>
76
77// LORENE
78#include "matrice.h"
79#include "cmp.h"
80#include "proto.h"
81
82// Fait le raccord C1 dans la zec ...
83namespace Lorene {
84// Suppose (pour le moment, le meme nbre de points sur les angles ...)
85// et que la zone precedente est une coquille
86
87void Cmp::raccord_c1_zec (int puis, int nbre, int lmax) {
88
89 assert (nbre>0) ;
90 assert (etat != ETATNONDEF) ;
91 if (etat == ETATZERO)
92 return ;
93
94 // Le mapping doit etre affine :
95 const Map_af* map = dynamic_cast<const Map_af*>(mp) ;
96 if (map == 0x0) {
97 cout << "Le mapping doit etre affine" << endl ;
98 abort() ;
99 }
100
101 int nz = map->get_mg()->get_nzone() ;
102 int nr = map->get_mg()->get_nr (nz-1) ;
103 int nt = map->get_mg()->get_nt (nz-1) ;
104 int np = map->get_mg()->get_np (nz-1) ;
105
106 double alpha = map->get_alpha()[nz-1] ;
107 double r_cont = -1./2./alpha ; //Rayon de debut de la zec.
108
109 // On calcul les coefficients des puissances de 1./r
110 Tbl coef (nbre+2*lmax, nr) ;
111 coef.set_etat_qcq() ;
112
113 int* deg = new int[3] ;
114 deg[0] = 1 ; deg[1] = 1 ; deg[2] = nr ;
115 double* auxi = new double[nr] ;
116
117 for (int conte=0 ; conte<nbre+2*lmax ; conte++) {
118 for (int i=0 ; i<nr ; i++)
119 auxi[i] = pow(-1-cos(M_PI*i/(nr-1)), (conte+puis)) ;
120
121 cfrcheb(deg, deg, auxi, deg, auxi) ;
122 for (int i=0 ; i<nr ; i++)
123 coef.set(conte, i) = auxi[i]*pow (alpha, conte+puis) ;
124 }
125
126 delete[] deg ;
127 // Maintenant on va calculer les valeurs de la ieme derivee :
128 Tbl valeurs (nbre, nt, np+1) ;
129 valeurs.set_etat_qcq() ;
130
131 Cmp courant (*this) ;
132 double* res_val = new double[1] ;
133
134 for (int conte=0 ; conte<nbre ; conte++) {
135
136 courant.va.coef() ;
137 courant.va.ylm() ;
138 courant.va.c_cf->t[nz-1]->annule_hard() ;
139
140 int base_r = courant.va.base.get_base_r(nz-2) ;
141 for (int k=0 ; k<np+1 ; k++)
142 for (int j=0 ; j<nt ; j++)
143 if (nullite_plm(j, nt, k, np, courant.va.base) == 1) {
144
145 for (int i=0 ; i<nr ; i++)
146 auxi[i] = (*courant.va.c_cf)(nz-2, k, j, i) ;
147
148 switch (base_r) {
149 case R_CHEB :
150 som_r_cheb (auxi, nr, 1, 1, 1, res_val) ;
151 break ;
152 default :
153 cout << "Cas non prevu dans raccord_zec" << endl ;
154 abort() ;
155 break ;
156 }
157 valeurs.set(conte, k, j) = res_val[0] ;
158 }
159 Cmp copie (courant) ;
160 copie.dec2_dzpuis() ;
161 courant = copie.dsdr() ;
162 }
163
164 delete [] auxi ;
165 delete [] res_val ;
166
167 // On boucle sur les harmoniques : construction de la matrice
168 // et du second membre
169 va.coef() ;
170 va.ylm() ;
171 va.c_cf->t[nz-1]->annule_hard() ;
172 va.set_etat_cf_qcq() ;
173
174 const Base_val& base = va.base ;
175 int base_r, l_quant, m_quant ;
176 for (int k=0 ; k<np+1 ; k++)
177 for (int j=0 ; j<nt ; j++)
178 if (nullite_plm(j, nt, k, np, va.base) == 1) {
179
180 donne_lm (nz, nz-1, j, k, base, m_quant, l_quant, base_r) ;
181
182 if (l_quant<=lmax) {
183
184 Matrice systeme (nbre, nbre) ;
185 systeme.set_etat_qcq() ;
186
187 for (int col=0 ; col<nbre ; col++)
188 for (int lig=0 ; lig<nbre ; lig++) {
189
190 int facteur = (lig%2==0) ? 1 : -1 ;
191 for (int conte=0 ; conte<lig ; conte++)
192 facteur *= puis+col+conte+2*l_quant ;
193 systeme.set(lig, col) = facteur/pow(r_cont, puis+col+lig+2*l_quant) ;
194 }
195
196 systeme.set_band(nbre, nbre) ;
197 systeme.set_lu() ;
198
199 Tbl sec_membre (nbre) ;
200 sec_membre.set_etat_qcq() ;
201 for (int conte=0 ; conte<nbre ; conte++)
202 sec_membre.set(conte) = valeurs(conte, k, j) ;
203
204 Tbl inv (systeme.inverse(sec_membre)) ;
205
206 for (int conte=0 ; conte<nbre ; conte++)
207 for (int i=0 ; i<nr ; i++)
208 va.c_cf->set(nz-1, k, j, i)+=
209 inv(conte)*coef(conte+2*l_quant, i) ;
210 }
211 else for (int i=0 ; i<nr ; i++)
212 va.c_cf->set(nz-1, k, j, i)
213 = 0 ;
214 }
215
216 va.ylm_i() ;
217 set_dzpuis (0) ;
218}
219}
Bases of the spectral expansions.
Definition base_val.h:325
int get_base_r(int l) const
Returns the expansion basis for r ( ) functions in the domain of index l (e.g.
Definition base_val.h:403
const Map * mp
Reference mapping.
Definition cmp.h:451
void raccord_c1_zec(int puis, int nbre, int lmax)
Performs the matching of the external domain with respect to the last shell using function like wit...
Cmp(const Map &map)
Constructor from mapping.
Definition cmp.C:211
Valeur va
The numerical value of the Cmp.
Definition cmp.h:464
int etat
Logical state (ETATNONDEF , ETATQCQ or ETATZERO ).
Definition cmp.h:454
void set_dzpuis(int)
Set a value to dzpuis.
Definition cmp.C:657
void dec2_dzpuis()
Decreases by 2 the value of dzpuis and changes accordingly the values of the Cmp in the external comp...
const Cmp & dsdr() const
Returns of *this .
Definition cmp_deriv.C:87
Affine radial mapping.
Definition map.h:2042
const double * get_alpha() const
Returns the pointer on the array alpha.
Definition map_af.C:604
Matrix handling.
Definition matrice.h:152
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
Definition matrice.C:178
double & set(int j, int i)
Read/write of a particuliar element.
Definition matrice.h:277
Tbl inverse(const Tbl &sec_membre) const
Solves the linear system represented by the matrix.
Definition matrice.C:427
void set_band(int up, int low) const
Calculate the band storage of *std.
Definition matrice.C:367
void set_lu() const
Calculate the LU-representation, assuming the band-storage has been done.
Definition matrice.C:395
Tbl ** t
Array (size nzone ) of pointers on the Tbl 's which contain the spectral coefficients in each domain.
Definition mtbl_cf.h:215
Basic array class.
Definition tbl.h:161
void annule_hard()
Sets the Tbl to zero in a hard way.
Definition tbl.C:375
void set_etat_qcq()
Sets the logical state to ETATQCQ (ordinary state).
Definition tbl.C:364
double & set(int i)
Read/write of a particular element (index i) (1D case).
Definition tbl.h:281
void ylm()
Computes the coefficients of *this.
Definition valeur_ylm.C:141
Mtbl_cf * c_cf
Coefficients of the spectral expansion of the function.
Definition valeur.h:312
void coef() const
Computes the coeffcients of *this.
Base_val base
Bases on which the spectral expansion is performed.
Definition valeur.h:315
Cmp pow(const Cmp &, int)
Power .
Definition cmp_math.C:351
Cmp cos(const Cmp &)
Cosine.
Definition cmp_math.C:97
#define R_CHEB
base de Chebychev ordinaire (fin)
Lorene prototypes.
Definition app_hor.h:67