1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
|
/*
* Test program the Laplacian operator of the Cmp class
*
*/
/*
* Copyright (c) 2000-2001 Eric Gourgoulhon
*
* 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 test_map_af_lap_C[] = "$Header: /cvsroot/Lorene/Codes/Test/Map/test_map_af_lap.C,v 1.3 2014/10/06 15:12:53 j_novak Exp $" ;
/*
* $Id: test_map_af_lap.C,v 1.3 2014/10/06 15:12:53 j_novak Exp $
* $Log: test_map_af_lap.C,v $
* Revision 1.3 2014/10/06 15:12:53 j_novak
* Modified #include directives to use c++ syntax.
*
* Revision 1.2 2003/01/09 11:07:53 j_novak
* headcpp.h is now compliant with C++ norm.
* The include files have been ordered, as well as the local_settings_linux
*
* Revision 1.1.1.1 2001/11/20 15:19:31 e_gourgoulhon
* LORENE
*
* Revision 1.1 2000/02/25 09:21:36 eric
* Initial revision
*
*
* $Header: /cvsroot/Lorene/Codes/Test/Map/test_map_af_lap.C,v 1.3 2014/10/06 15:12:53 j_novak Exp $
*
*/
// headers C
#include <cstdlib>
// headers Lorene
#include "type_parite.h"
#include "cmp.h"
#include "nbr_spx.h"
//******************************************************************************
void main(){
// Identification of all the subroutines called by the code :
system("ident test_map_af_lap") ;
//-----------------------------------------------------------------------
// Input data : number of points, types of sampling, etc...
//-----------------------------------------------------------------------
int nt = 7 ; // Number of points in theta
int np = 8 ; // Number of points in phi
int nz = 3 ; // Number of domains
int* nr = new int[nz];
int* nt_tab = new int[nz];
int* np_tab = new int[nz];
double* bornes = new double[nz+1];
int* type_r = new int[nz];
for (int l=0; l<nz; l++) {
nr[l] = 9 ; // Number of points in r
np_tab[l] = np ;
nt_tab[l] = nt ;
}
bornes[0] = 0. ;
bornes[1] = 2. ;
bornes[2] = 3.5 ;
bornes[3] = __infinity ;
type_r[0] = RARE ;
type_r[1] = FIN ;
type_r[2] = UNSURR ;
int type_t = SYM ;
int type_p = NONSYM ;
//-----------------------------------------------------------------------
// Construction of a multi-grid
//-----------------------------------------------------------------------
Mg3d mg(nz, nr, type_r, nt_tab, type_t, np_tab, type_p) ;
//----------------------------
// Construction of the Map_af
//----------------------------
Map_af mp(mg, bornes) ;
const Coord& r = mp.r ;
const Coord& x = mp.x ;
const Coord& y = mp.y ;
const Coord& z = mp.z ;
//-----------------------------------------------------------------------
// Construction of a Cmp
//-----------------------------------------------------------------------
Cmp aa(mp) ;
Cmp aa_ext(mp) ;
aa = x*y*z*z + x*x ; // aa = x*y*z*z + x*x in all space
aa.annule(nz-1) ; // aa = x*y*z*z + x*x in internal domains,
// aa = 0 in extern. dom.
aa_ext = 1 / (r*r) ; // aa_ext = 1/r^2 in all space
aa_ext.annule(0, nz-2) ; // aa_ext = 0 in intern. dom., =1/r^2 in ext. dom.
aa = aa + aa_ext ; // aa = x*y*z*z + x*x in internal domains,
// aa = 1/r^2 in external domain
aa.std_base_scal() ; // Sets the standard basis for spectral expansions
cout << "Coef de aa : " << endl ;
aa.affiche_seuil(cout) ;
// Computation of Laplacian of a with zec_mult_r = 4
// -------------------------------------------------
Cmp lap = aa.laplacien() ; // lap = Delta(a) in internal domains
// lap = r^4 Delta(a) in the external domain
cout << "Coef of lap (zec_mult_r=4) : " << endl ;
lap.affiche_seuil(cout) ;
// Analytical expression for the Laplacian :
Cmp lap_ana(mp) ;
Cmp lap_ana_ext(mp) ;
lap_ana = 2 + 2*x*y ;
lap_ana.annule(nz-1) ;
lap_ana_ext = 2 ; // 2/r^4 (dzpuis = 4)
lap_ana_ext.annule(0, nz-2) ;
lap_ana = lap_ana + lap_ana_ext ;
(lap_ana.va).c->dzpuis = 4 ;
lap_ana.set_dzpuis(4) ;
lap_ana.std_base_scal() ; // Sets the standard base for spectral expansions
cout << "Coef de lap_ana (dzpuis=4) : " << endl ;
lap_ana.affiche_seuil(cout) ;
cout << "diffrel lap <-> lap_ana : " << endl ;
cout << diffrel(lap, lap_ana) << endl ;
cout << "diffrelmax lap <-> lap_ana : " << endl ;
cout << diffrelmax(lap, lap_ana) << endl ;
// Computation of Laplacian of a with zec_mult_r = 2
// -------------------------------------------------
lap = aa.laplacien(2) ; // lap = Delta(a) in internal domains
// lap = r^2 Delta(a) in the external domain
cout << "Coef of lap (zec_mult_r=2) : " << endl ;
lap.affiche_seuil(cout) ;
// Analytical expression for the Laplacian :
lap_ana = 2 + 2*x*y ;
lap_ana.annule(nz-1) ;
lap_ana_ext = 2/(r*r) ; // 2/r^4 (dzpuis = 2)
lap_ana_ext.annule(0, nz-2) ;
lap_ana = lap_ana + lap_ana_ext ;
(lap_ana.va).c->dzpuis = 2 ;
lap_ana.set_dzpuis(2) ;
lap_ana.std_base_scal() ; // Sets the standard base for spectral expansions
cout << "Coef de lap_ana (dzpuis=2) : " << endl ;
lap_ana.affiche_seuil(cout) ;
cout << "diffrel lap <-> lap_ana : " << endl ;
cout << diffrel(lap, lap_ana) << endl ;
cout << "diffrelmax lap <-> lap_ana : " << endl ;
cout << diffrelmax(lap, lap_ana) << endl ;
// Computation of Laplacian of a with zec_mult_r = 0
// -------------------------------------------------
lap = aa.laplacien(0) ; // lap = Delta(a) in internal domains
// lap = r^0 Delta(a) in the external domain
cout << "Coef of lap (zec_mult_r=0) : " << endl ;
lap.affiche_seuil(cout) ;
// Analytical expression for the Laplacian :
lap_ana = 2 + 2*x*y ;
lap_ana.annule(nz-1) ;
lap_ana_ext = 2/pow(r, 4) ; // 2/r^4 (dzpuis = 0)
lap_ana_ext.annule(0, nz-2) ;
lap_ana = lap_ana + lap_ana_ext ;
(lap_ana.va).c->dzpuis = 0 ;
lap_ana.set_dzpuis(0) ;
lap_ana.std_base_scal() ; // Sets the standard base for spectral expansions
cout << "Coef de lap_ana (dzpuis=0) : " << endl ;
lap_ana.affiche_seuil(cout) ;
cout << "diffrel lap <-> lap_ana : " << endl ;
cout << diffrel(lap, lap_ana) << endl ;
cout << "diffrelmax lap <-> lap_ana : " << endl ;
cout << diffrelmax(lap, lap_ana) << endl ;
exit(-1) ;
}
|
