LORENE
map.h
1 /*
2  * Definition of Lorene classes Map
3  * Map_radial
4  * Map_af
5  * Map_et
6  * Map_log
7  *
8  */
9 
10 /*
11  * Copyright (c) 1999-2000 Jean-Alain Marck
12  * Copyright (c) 1999-2003 Eric Gourgoulhon
13  * Copyright (c) 1999-2001 Philippe Grandclement
14  * Copyright (c) 2000-2001 Jerome Novak
15  * Copyright (c) 2000-2001 Keisuke Taniguchi
16  *
17  * This file is part of LORENE.
18  *
19  * LORENE is free software; you can redistribute it and/or modify
20  * it under the terms of the GNU General Public License as published by
21  * the Free Software Foundation; either version 2 of the License, or
22  * (at your option) any later version.
23  *
24  * LORENE is distributed in the hope that it will be useful,
25  * but WITHOUT ANY WARRANTY; without even the implied warranty of
26  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
27  * GNU General Public License for more details.
28  *
29  * You should have received a copy of the GNU General Public License
30  * along with LORENE; if not, write to the Free Software
31  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
32  *
33  */
34 
35 
36 #ifndef __MAP_H_
37 #define __MAP_H_
38 
39 /*
40  * $Id: map.h,v 1.68 2025/03/28 09:12:06 j_novak Exp $
41  * $Log: map.h,v $
42  * Revision 1.68 2025/03/28 09:12:06 j_novak
43  * New method to change the multi-grid, to be used for de-aliasing.
44  *
45  * Revision 1.67 2025/03/04 16:31:11 j_novak
46  * Updated method "integrale" to "Scalar" objects.
47  *
48  * Revision 1.66 2025/03/04 13:16:50 j_novak
49  * New complete versions of Map_af::poisson() and Map_et::poisson() for Scalar, not using Cmp.
50  *
51  * Revision 1.65 2024/07/03 13:51:02 j_novak
52  * Added methods to interpolate a Scalar between Map_af and Map_star efficiently.
53  *
54  * Revision 1.64 2024/06/25 13:56:24 j_novak
55  * Split map.h into map.h and map_star.h.
56  *
57  * Revision 1.63 2023/05/24 09:58:44 g_servignat
58  * Added Map_eps, an ellipsoidal radial mapping
59  *
60  * Revision 1.62 2022/06/20 14:21:55 g_servignat
61  * Implemented shells in Map_star
62  *
63  * Revision 1.61 2022/05/30 12:39:53 g_servignat
64  * New Map_star class for general adaptive domain to star boundaries
65  *
66  * Revision 1.60 2018/12/05 15:43:45 j_novak
67  * New Map_af constructor from a formatted file.
68  *
69  * Revision 1.59 2014/10/13 08:52:35 j_novak
70  * Lorene classes and functions now belong to the namespace Lorene.
71  *
72  * Revision 1.58 2014/10/06 15:09:40 j_novak
73  * Modified #include directives to use c++ syntax.
74  *
75  * Revision 1.57 2014/01/14 13:24:02 b_peres
76  * *** empty log message ***
77  *
78  * Revision 1.56 2012/01/24 14:58:54 j_novak
79  * Removed functions XXX_fait_xi()
80  *
81  * Revision 1.55 2012/01/17 15:34:20 j_penner
82  * *** empty log message ***
83  *
84  * Revision 1.54 2012/01/17 10:20:07 j_penner
85  * added a member cxi that allows for direct access to the computational coordinates in each domain
86  *
87  * Revision 1.53 2008/09/29 13:23:51 j_novak
88  * Implementation of the angular mapping associated with an affine
89  * mapping. Things must be improved to take into account the domain index.
90  *
91  * Revision 1.52 2007/10/16 21:52:10 e_gourgoulhon
92  * Added method poisson_compact for multi-domains.
93  *
94  * Revision 1.51 2007/05/15 12:44:18 p_grandclement
95  * Scalar version of reevaluate
96  *
97  * Revision 1.50 2007/05/06 10:48:08 p_grandclement
98  * Modification of a few operators for the vorton project
99  *
100  * Revision 1.49 2007/01/16 15:05:59 n_vasset
101  * New constructor (taking a Scalar in mono-domain angular grid for
102  * boundary) for function sol_elliptic_boundary
103  *
104  * Revision 1.48 2006/08/31 12:10:51 j_novak
105  * More comments for Map_af::avance_dalembert().
106  *
107  * Revision 1.47 2006/05/26 09:00:09 j_novak
108  * New members for multiplication or division by cos(theta).
109  *
110  * Revision 1.46 2006/04/25 07:21:54 p_grandclement
111  * Various changes for the NS_BH project
112  *
113  * Revision 1.45 2005/11/30 11:09:03 p_grandclement
114  * Changes for the Bin_ns_bh project
115  *
116  * Revision 1.44 2005/11/24 09:25:06 j_novak
117  * Added the Scalar version for the Laplacian
118  *
119  * Revision 1.43 2005/09/15 15:51:25 j_novak
120  * The "rotation" (change of triad) methods take now Scalars as default
121  * arguments.
122  *
123  * Revision 1.42 2005/08/26 14:02:38 p_grandclement
124  * Modification of the elliptic solver that matches with an oscillatory exterior solution
125  * small correction in Poisson tau also...
126  *
127  * Revision 1.41 2005/08/25 12:14:07 p_grandclement
128  * Addition of a new method to solve the scalar Poisson equation, based on a multi-domain Tau-method
129  *
130  * Revision 1.40 2005/06/09 07:56:24 f_limousin
131  * Implement a new function sol_elliptic_boundary() and
132  * Vector::poisson_boundary(...) which solve the vectorial poisson
133  * equation (method 6) with an inner boundary condition.
134  *
135  * Revision 1.39 2005/04/04 21:30:41 e_gourgoulhon
136  * Added argument lambda to method poisson_angu
137  * to treat the generalized angular Poisson equation:
138  * Lap_ang u + lambda u = source.
139  *
140  * Revision 1.38 2004/12/29 16:37:22 k_taniguchi
141  * Addition of some functions with the multipole falloff condition.
142  *
143  * Revision 1.37 2004/12/02 09:33:04 p_grandclement
144  * *** empty log message ***
145  *
146  * Revision 1.36 2004/11/30 20:42:05 k_taniguchi
147  * Addition of some functions with the falloff condition and a method
148  * to resize the external shell.
149  *
150  * Revision 1.35 2004/11/23 12:39:12 f_limousin
151  * Intoduce function poisson_dir_neu(...) to solve a scalar poisson
152  * equation with a mixed boundary condition (Dirichlet + Neumann).
153  *
154  * Revision 1.34 2004/10/11 15:08:59 j_novak
155  * The radial manipulation functions take Scalar as arguments, instead of Cmp.
156  * Added a conversion operator from Scalar to Cmp.
157  * The Cmp radial manipulation function make conversion to Scalar, call to the
158  * Map_radial version with a Scalar argument and back.
159  *
160  * Revision 1.33 2004/10/08 13:34:35 j_novak
161  * Scalar::div_r() does not need to pass through Cmp version anymore.
162  *
163  * Revision 1.32 2004/08/24 09:14:40 p_grandclement
164  * Addition of some new operators, like Poisson in 2d... It now requieres the
165  * GSL library to work.
166  *
167  * Also, the way a variable change is stored by a Param_elliptic is changed and
168  * no longer uses Change_var but rather 2 Scalars. The codes using that feature
169  * will requiere some modification. (It should concern only the ones about monopoles)
170  *
171  * Revision 1.31 2004/07/27 08:24:26 j_novak
172  * Modif. comments
173  *
174  * Revision 1.30 2004/07/26 16:02:21 j_novak
175  * Added a flag to specify whether the primitive should be zero either at r=0
176  * or at r going to infinity.
177  *
178  * Revision 1.29 2004/06/22 08:49:57 p_grandclement
179  * Addition of everything needed for using the logarithmic mapping
180  *
181  * Revision 1.28 2004/06/14 15:23:53 e_gourgoulhon
182  * Added virtual function primr for computation of radial primitives.
183  *
184  * Revision 1.27 2004/03/31 11:22:23 f_limousin
185  * Methods Map_et::poisson_interne and Map_af::poisson_interne have been
186  * implemented to solve the continuity equation for strange stars.
187  *
188  * Revision 1.26 2004/03/22 13:12:41 j_novak
189  * Modification of comments to use doxygen instead of doc++
190  *
191  * Revision 1.24 2004/03/01 09:57:02 j_novak
192  * the wave equation is solved with Scalars. It now accepts a grid with a
193  * compactified external domain, which the solver ignores and where it copies
194  * the values of the field from one time-step to the next.
195  *
196  * Revision 1.23 2004/02/11 09:47:44 p_grandclement
197  * Addition of a new elliptic solver, matching with the homogeneous solution
198  * at the outer shell and not solving in the external domain (more details
199  * coming soon ; check your local Lorene dealer...)
200  *
201  * Revision 1.22 2004/01/29 08:50:01 p_grandclement
202  * Modification of Map::operator==(const Map&) and addition of the surface
203  * integrales using Scalar.
204  *
205  * Revision 1.21 2004/01/28 16:46:22 p_grandclement
206  * Addition of the sol_elliptic_fixe_der_zero stuff
207  *
208  * Revision 1.20 2004/01/28 10:35:52 j_novak
209  * Added new methods mult_r() for Scalars. These do not change the dzpuis flag.
210  *
211  * Revision 1.19 2004/01/27 09:33:46 j_novak
212  * New method Map_radial::div_r_zec
213  *
214  * Revision 1.18 2004/01/26 16:16:15 j_novak
215  * Methods of gradient for Scalar s. The input can have any dzpuis.
216  *
217  * Revision 1.17 2004/01/19 21:38:21 e_gourgoulhon
218  * Corrected sign error in comments of Map_radial::dxdr.
219  *
220  * Revision 1.16 2003/12/30 22:52:47 e_gourgoulhon
221  * Class Map: added methods flat_met_spher() and flat_met_cart() to get
222  * flat metric associated with the coordinates described by the mapping.
223  *
224  * Revision 1.15 2003/12/11 14:48:47 p_grandclement
225  * Addition of ALL (and that is a lot !) the files needed for the general elliptic solver ... UNDER DEVELOPEMENT...
226  *
227  * Revision 1.14 2003/11/06 14:43:37 e_gourgoulhon
228  * Gave a name to const arguments in certain method prototypes (e.g.
229  * constructors) to correct a bug of DOC++.
230  *
231  * Revision 1.13 2003/11/04 22:54:49 e_gourgoulhon
232  * Added new virtual methods mult_cost, mult_sint and div_sint.
233  *
234  * Revision 1.12 2003/10/16 08:49:21 j_novak
235  * Added a flag to decide wether the output is in the Ylm or in the standard base.
236  *
237  * Revision 1.11 2003/10/15 21:08:22 e_gourgoulhon
238  * Added method poisson_angu.
239  *
240  * Revision 1.10 2003/10/15 16:03:35 j_novak
241  * Added the angular Laplace operator for Scalar.
242  *
243  * Revision 1.9 2003/10/15 10:27:33 e_gourgoulhon
244  * Classes Map, Map_af and Map_et: added new methods dsdt, stdsdp and div_tant.
245  * Class Map_radial: added new Coord's : drdt and stdrdp.
246  *
247  * Revision 1.8 2003/06/20 14:14:53 f_limousin
248  * Add the operator== to compare two Cmp.
249  *
250  * Revision 1.7 2003/06/20 09:27:09 j_novak
251  * Modif commentaires.
252  *
253  * Revision 1.6 2002/10/16 14:36:29 j_novak
254  * Reorganization of #include instructions of standard C++, in order to
255  * use experimental version 3 of gcc.
256  *
257  * Revision 1.5 2002/09/13 09:17:33 j_novak
258  * Modif. commentaires
259  *
260  * Revision 1.4 2002/06/17 14:05:16 j_novak
261  * friend functions are now also declared outside the class definition
262  *
263  * Revision 1.3 2002/05/07 07:06:37 e_gourgoulhon
264  * Compatibily with xlC compiler on IBM SP2:
265  * added declaration of functions map_af_fait_* and map_et_fait_*
266  * outside the classes declarations.
267  *
268  * Revision 1.2 2002/01/15 15:53:06 p_grandclement
269  * I have had a constructor fot map_et using the equation of the surface
270  * of the star.
271  *
272  * Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
273  * LORENE
274  *
275  * Revision 2.110 2001/10/29 15:31:55 novak
276  * Ajout de Map_radial::div_r
277  *
278  * Revision 2.109 2001/10/16 10:02:49 novak
279  * *** empty log message ***
280  *
281  * Revision 2.108 2001/07/19 14:01:00 novak
282  * new arguments for Map_af::dalembert
283  *
284  * Revision 2.107 2001/02/26 17:28:31 eric
285  * Ajout de la fonction virtuelle resize.
286  *
287  * Revision 2.106 2001/01/10 11:03:00 phil
288  * ajout de homothetie interne
289  *
290  * Revision 2.105 2001/01/02 10:51:55 phil
291  * ajout integrale de surface a l'infini
292  *
293  * Revision 2.104 2000/10/23 13:59:48 eric
294  * Map_et::adapt: changement des arguments (en autre, ajout de nz_search).
295  *
296  * Revision 2.103 2000/10/20 09:39:19 phil
297  * changement commentaires
298  *
299  * Revision 2.102 2000/10/19 14:33:23 novak
300  * corrige oubli pour Map_et?
301  *
302  * Revision 2.101 2000/10/19 14:11:20 novak
303  * Ajout des fonctions membres Map::dalembert et Map_af::dalembert
304  * (etat experimental)
305  *
306  * Revision 2.100 2000/10/09 13:46:39 eric
307  * Ajout de la fonction virtuelle poisson2d.
308  *
309  * Revision 2.99 2000/09/19 15:28:55 phil
310  * *** empty log message ***
311  *
312  * Revision 2.98 2000/09/19 15:24:19 phil
313  * ajout du passage de cartesienne en spheriques
314  *
315  * Revision 2.97 2000/09/19 13:05:38 phil
316  * ajout integrale_surface
317  *
318  * Revision 2.96 2000/09/11 15:54:03 eric
319  * Suppression des methodes deriv_x, deriv_y et deriv_z.
320  * Introduction des methodes comp_x_from_spherical, etc...
321  *
322  * Revision 2.95 2000/09/07 15:27:58 keisuke
323  * Add a new argument Cmp& uu in Map_af::poisson_regular and Map_et::poisson_regular.
324  *
325  * Revision 2.94 2000/09/04 15:30:56 keisuke
326  * Modify the arguments of Map_af::poisson_regular and Map_et::poisson_regular.
327  *
328  * Revision 2.93 2000/09/04 13:36:19 keisuke
329  * Modify the explanation for "uu_div" in Map_et::poisson_regular.
330  *
331  * Revision 2.92 2000/08/31 15:50:12 keisuke
332  * Modify Map_af::poisson_regular.
333  * Add Map_et::poisson_regular and Map::poisson_regular.
334  *
335  * Revision 2.91 2000/08/31 13:03:22 eric
336  * Ajout de la fonction virtuelle mult_rsint.
337  *
338  * Revision 2.90 2000/08/28 16:17:37 keisuke
339  * Add "int nzet" in the argumant of Map_af::poisson_regular.
340  *
341  * Revision 2.89 2000/08/18 11:10:12 eric
342  * Classe Map_et: ajout de l'operateur d'affectation a un autre Map_et.
343  *
344  * Revision 2.88 2000/08/11 08:50:18 keisuke
345  * Modif Map_af::poisson_regular
346  *
347  * Revision 2.87 2000/08/10 12:54:00 keisuke
348  * Ajout de Map_af::poisson_regular
349  *
350  * Revision 2.86 2000/07/20 14:21:07 eric
351  * Ajout de la fonction div_rsint.
352  *
353  * Revision 2.85 2000/05/25 13:54:41 eric
354  * Modif commentaires
355  *
356  * Revision 2.84 2000/05/22 14:38:51 phil
357  * ajout de inc_dzpuis et dec_dzpuis
358  *
359  * Revision 2.83 2000/04/27 15:18:54 phil
360  * *** empty log message ***
361  *
362  * Revision 2.82 2000/03/20 13:33:23 phil
363  * commentaires
364  *
365  * Revision 2.81 2000/03/17 17:32:48 phil
366  * *** empty log message ***
367  *
368  * Revision 2.80 2000/03/17 17:01:54 phil
369  * *** empty log message ***
370  *
371  * Revision 2.79 2000/03/17 16:58:48 phil
372  * ajout de poisson_frontiere
373  *
374  * Revision 2.78 2000/03/06 11:29:51 eric
375  * Ajout du membre reeavaluate_symy.
376  *
377  * Revision 2.77 2000/02/15 15:08:21 eric
378  * Changement du Param dans Map_et::adapt : fact_echelle est desormais
379  * passe en double_mod.
380  *
381  * Revision 2.76 2000/02/15 10:26:25 phil
382  * commentaire +
383  * suppression de poisson_vect et poisson_vect_oohara
384  *
385  * Revision 2.75 2000/02/11 13:37:43 eric
386  * Ajout de la fonction convert_absolute.
387  *
388  * Revision 2.74 2000/02/09 09:53:37 phil
389  * ajout de poisson_vect_oohara
390  *
391  * Revision 2.73 2000/01/26 13:07:02 eric
392  * Reprototypage complet des routines de derivation:
393  * le resultat est desormais suppose alloue a l'exterieur de la routine
394  * et est passe en argument (Cmp& resu), si bien que le prototypage
395  * complet devient:
396  * void DERIV(const Cmp& ci, Cmp& resu)
397  *
398  * Revision 2.72 2000/01/24 17:08:21 eric
399  * Class Map_af : suppression de la fonction convert.
400  * suppression du constructeur par convertion d'un Map_et.
401  * ajout du constructeur par conversion d'un Map.
402  *
403  * Revision 2.71 2000/01/24 16:41:43 eric
404  * Ajout de la fonction virtuelle operator=(const Map_af& ).
405  * Classe Map_af : ajout de la fonction convert(const Map& ).
406  *
407  * Revision 2.70 2000/01/21 12:48:34 phil
408  * changement prototypage de Map::poisson_vect
409  *
410  * Revision 2.69 2000/01/20 16:35:05 phil
411  * *** empty log message ***
412  *
413  * Revision 2.68 2000/01/20 15:44:42 phil
414  * *** empty log message ***
415  *
416  * Revision 2.67 2000/01/20 15:31:56 phil
417  * *** empty log message ***
418  *
419  * Revision 2.66 2000/01/20 14:18:06 phil
420  * *** empty log message ***
421  *
422  * Revision 2.65 2000/01/20 13:16:34 phil
423  * *** empty log message ***
424  *
425  * Revision 2.64 2000/01/20 12:51:24 phil
426  * *** empty log message ***
427  *
428  * Revision 2.63 2000/01/20 12:45:28 phil
429  * *** empty log message ***
430  *
431  * Revision 2.62 2000/01/20 12:40:27 phil
432  * *** empty log message ***
433  *
434  * Revision 2.61 2000/01/20 11:27:54 phil
435  * ajout de poisson_vect
436  *
437  * Revision 2.60 2000/01/13 15:31:55 eric
438  * Modif commentaires/
439  *
440  * Revision 2.59 2000/01/12 16:02:57 eric
441  * Modif commentaires poisson_compact.
442  *
443  * Revision 2.58 2000/01/12 12:54:23 eric
444  * Ajout du Cmp null, *p_cmp_zero, et de la methode associee cmp_zero().
445  *
446  * Revision 2.57 2000/01/10 13:27:43 eric
447  * Ajout des bases vectorielles associees aux coordonnees :
448  * membres bvect_spher et bvect_cart.
449  *
450  * Revision 2.56 2000/01/10 09:12:47 eric
451  * Reprototypage de poisson_compact : Valeur -> Cmp, Tenseur.
452  * Suppression de poisson_compact_boucle.
453  * poisson_compact est desormais implementee au niveau Map_radial.
454  *
455  * Revision 2.55 2000/01/04 15:23:11 eric
456  * Classe Map_radial : les data sont listees en premier
457  * Introduction de la fonction reevalutate.
458  *
459  * Revision 2.54 2000/01/03 13:30:32 eric
460  * Ajout de la fonction adapt.
461  *
462  * Revision 2.53 1999/12/22 17:09:52 eric
463  * Modif commentaires.
464  *
465  * Revision 2.52 1999/12/21 16:26:25 eric
466  * Ajout du constructeur par conversion Map_af::Map_af(const Map_et&).
467  * Ajout des fonctions Map_af::set_alpha et Map_af::set_beta.
468  *
469  * Revision 2.51 1999/12/21 13:01:29 eric
470  * Changement de prototype de la routine poisson : la solution est
471  * desormais passee en argument (et non plus en valeur de retour)
472  * pour permettre l'initialisation de methodes de resolution iterative.
473  *
474  * Revision 2.50 1999/12/21 10:12:09 eric
475  * Modif commentaires.
476  *
477  * Revision 2.49 1999/12/21 10:06:05 eric
478  * Ajout de l'argument Param& a poisson.
479  *
480  * Revision 2.48 1999/12/20 15:44:35 eric
481  * Modif commentaires.
482  *
483  * Revision 2.47 1999/12/20 10:47:45 eric
484  * Modif commentaires.
485  *
486  * Revision 2.46 1999/12/20 10:24:12 eric
487  * Ajout des fonctions de lecture des parametres de Map_et:
488  * get_alpha(), get_beta(), get_ff(), get_gg().
489  *
490  * Revision 2.45 1999/12/16 14:50:08 eric
491  * Modif commentaires.
492  *
493  * Revision 2.44 1999/12/16 14:17:54 eric
494  * Introduction de l'argument const Param& par dans val_lx et val_lx_jk.
495  * (en remplacement de l'argument Tbl& param).
496  *
497  * Revision 2.43 1999/12/09 10:45:24 eric
498  * Ajout de la fonction virtuelle integrale.
499  *
500  * Revision 2.42 1999/12/07 14:50:47 eric
501  * Changement ordre des arguments val_r, val_lx
502  * val_r_kj --> val_r_jk
503  * val_lx_kj -->val_lx_jk
504  *
505  * Revision 2.41 1999/12/06 16:45:20 eric
506  * Surcharge de val_lx avec la version sans param.
507  *
508  * Revision 2.40 1999/12/06 15:33:44 eric
509  * Ajout des fonctions val_r_kj et val_lx_kj.
510  *
511  * Revision 2.39 1999/12/06 13:11:54 eric
512  * Introduction des fonctions val_r, val_lx et homothetie.
513  *
514  * Revision 2.38 1999/12/02 14:28:22 eric
515  * Reprototypage de la fonction poisson: Valeur -> Cmp.
516  *
517  * Revision 2.37 1999/11/30 14:19:33 eric
518  * Reprototypage complet des fonctions membres mult_r, mult_r_zec,
519  * dec2_dzpuis et inc2_dzpuis : Valeur --> Cmp
520  *
521  * Revision 2.36 1999/11/29 13:17:57 eric
522  * Modif commentaires.
523  *
524  * Revision 2.35 1999/11/29 12:55:42 eric
525  * Changement prototype de la fonction laplacien : Valeur --> Cmp.
526  *
527  * Revision 2.34 1999/11/25 16:27:27 eric
528  * Reorganisation complete du calcul des derivees partielles.
529  *
530  * Revision 2.33 1999/11/24 16:31:17 eric
531  * Map_et: ajout des fonctions set_ff et set_gg.
532  *
533  * Revision 2.32 1999/11/24 14:31:48 eric
534  * Map_af: les membres alpha et beta deviennent prives.
535  * Map_af: introduction des fonctions get_alpha() et get_beta().
536  *
537  * Revision 2.31 1999/11/24 11:22:09 eric
538  * Map_et : Coords rendus publics
539  * Map_et : fonctions de constructions amies.
540  *
541  * Revision 2.30 1999/11/22 10:32:39 eric
542  * Introduction de la classe Map_et.
543  * Constructeurs de Map rendus protected.
544  * Fonction del_coord() rebaptisee reset_coord().
545  *
546  * Revision 2.29 1999/10/27 16:44:41 phil
547  * ajout de mult_r_zec
548  *
549  * Revision 2.28 1999/10/19 14:40:37 phil
550  * ajout de inc2_dzpuis()
551  *
552  * Revision 2.27 1999/10/15 14:12:20 eric
553  * *** empty log message ***
554  *
555  * Revision 2.26 1999/10/14 14:26:06 eric
556  * Depoussierage.
557  * Documentation.
558  *
559  * Revision 2.25 1999/10/11 11:16:29 phil
560  * changement prototypage de poisson_compact_boucle
561  *
562  * Revision 2.24 1999/10/11 10:48:51 phil
563  * changement de nom pour poisson a support compact
564  *
565  * Revision 2.23 1999/10/04 09:20:58 phil
566  * changement de prototypage de void Map_af::poisson_nul
567  *
568  * Revision 2.22 1999/09/30 18:38:32 phil
569  * *** empty log message ***
570  *
571  * Revision 2.21 1999/09/30 18:33:10 phil
572  * ajout de poisson_nul et poisson_nul_boucle
573  *
574  * Revision 2.20 1999/09/30 16:45:54 phil
575  * ajout de Map_af::poisson_nul(const Valeur&, int, int)
576  *
577  * Revision 2.19 1999/09/16 13:15:40 phil
578  * ajout de Valeur mult_r (const Valeur &)
579  *
580  * Revision 2.18 1999/09/15 10:42:11 phil
581  * ajout de Valeur dec2_dzpuis(const Valeur&)
582  *
583  * Revision 2.17 1999/09/14 13:45:45 phil
584  * suppression de la divergence
585  *
586  * Revision 2.16 1999/09/13 15:09:07 phil
587  * ajout de Map_af::divergence
588  *
589  * Revision 2.15 1999/09/13 13:52:23 phil
590  * ajout des derivations partielles par rapport a x,y et z.
591  *
592  * Revision 2.14 1999/09/07 14:35:20 phil
593  * ajout de la fonction Valeur** gradient(const Valeur&)
594  *
595  * Revision 2.13 1999/04/26 16:37:43 phil
596  * *** empty log message ***
597  *
598  * Revision 2.12 1999/04/26 16:33:28 phil
599  * *** empty log message ***
600  *
601  * Revision 2.11 1999/04/26 13:53:04 phil
602  * *** empty log message ***
603  *
604  * Revision 2.10 1999/04/26 13:51:19 phil
605  * ajout de Map_af::laplacien (2versions)
606  *
607  * Revision 2.9 1999/04/14 09:04:01 phil
608  * *** empty log message ***
609  *
610  * Revision 2.8 1999/04/14 08:53:27 phil
611  * *** empty log message ***
612  *
613  * Revision 2.7 1999/04/13 17:45:25 phil
614  * *** empty log message ***
615  *
616  * Revision 2.6 1999/04/13 17:02:41 phil
617  * ,
618  *
619  * Revision 2.5 1999/04/13 17:00:41 phil
620  * ajout de la resolution de poisson affine
621  *
622  * Revision 2.4 1999/03/04 13:10:53 eric
623  * Ajout des Coord representant les derivees du changement de variable
624  * dans la classe Map_radial.
625  *
626  * Revision 2.3 1999/03/01 17:00:38 eric
627  * *** empty log message ***
628  *
629  * Revision 2.2 1999/03/01 16:44:41 eric
630  * Operateurs << et >> sur les ostream.
631  * L'operateur >> est virtuel.
632  *
633  * Revision 2.1 1999/02/22 15:21:45 hyc
634  * *** empty log message ***
635  *
636  *
637  * Revision 2.0 1999/01/15 09:10:39 hyc
638  * *** empty log message ***
639  *
640  * $Header: /cvsroot/Lorene/C++/Include/map.h,v 1.68 2025/03/28 09:12:06 j_novak Exp $
641  *
642  */
643 
644 #include <cstdio>
645 
646 #include "coord.h"
647 #include "base_vect.h"
648 #include "valeur.h"
649 #include "tbl.h"
650 #include "itbl.h"
651 
652 namespace Lorene {
653 class Scalar ;
654 class Cmp ;
655 class Param ;
656 class Map_af ;
657 class Map_et ;
658 class Tenseur ;
659 class Param_elliptic ;
660 class Metric_flat ;
661 class Tbl ;
662 class Itbl ;
663 
664  //------------------------------------//
665  // class Map //
666  //------------------------------------//
667 
697 class Map {
698 
699  // Data :
700  // ----
701  protected:
703  const Mg3d* mg ;
704 
705  double ori_x ;
706  double ori_y ;
707  double ori_z ;
708  double rot_phi ;
709 
716  Base_vect_spher bvect_spher ;
717 
724  Base_vect_cart bvect_cart ;
725 
729  mutable Metric_flat* p_flat_met_spher ;
730 
734  mutable Metric_flat* p_flat_met_cart ;
735 
740  Cmp* p_cmp_zero ;
741 
742  mutable Map_af* p_mp_angu ;
743 
744  public:
745  Coord r ;
746  Coord tet ;
747  Coord phi ;
748  Coord sint ;
749  Coord cost ;
750  Coord sinp ;
751  Coord cosp ;
752 
753  Coord x ;
754  Coord y ;
755  Coord z ;
756 
757  Coord xa ;
758  Coord ya ;
759  Coord za ;
760 
761 
762  // Constructors, destructor :
763  // ------------------------
764 
765  protected:
766  explicit Map(const Mg3d& ) ;
767  Map(const Map &) ;
768  Map(const Mg3d&, FILE* ) ;
769 
770  public:
771  virtual ~Map() ;
772 
773  // Memory management
774  // -----------------
775  protected:
776  virtual void reset_coord() ;
777 
778  // Outputs
779  // -------
780  private:
781  virtual ostream& operator>>(ostream &) const = 0 ;
782 
783  public:
784  virtual void sauve(FILE* ) const ;
785 
786 
787  // Extraction of information
788  // -------------------------
789 
790  public:
792  const Mg3d* get_mg() const {return mg; };
793 
795  double get_ori_x() const {return ori_x;} ;
797  double get_ori_y() const {return ori_y;} ;
799  double get_ori_z() const {return ori_z;} ;
800 
802  double get_rot_phi() const {return rot_phi;} ;
803 
810  const Base_vect_spher& get_bvect_spher() const {return bvect_spher;} ;
811 
818  const Base_vect_cart& get_bvect_cart() const {return bvect_cart;} ;
819 
823  const Metric_flat& flat_met_spher() const ;
824 
828  const Metric_flat& flat_met_cart() const ;
829 
834  const Cmp& cmp_zero() const {return *p_cmp_zero;} ;
835 
839  virtual const Map_af& mp_angu(int) const = 0 ;
840 
851  void convert_absolute(double xx, double yy, double zz,
852  double& rr, double& theta, double& pphi) const ;
853 
862  virtual double val_r(int l, double xi, double theta, double pphi)
863  const = 0 ;
864 
873  virtual void val_lx(double rr, double theta, double pphi,
874  int& l, double& xi) const = 0 ;
875 
888  virtual void val_lx(double rr, double theta, double pphi,
889  const Param& par, int& l, double& xi) const = 0 ;
890 
891 
893  virtual bool operator==(const Map& ) const = 0;
894 
895 
896 
897  // Modification of the origin, the orientation and the radial scale:
898  // ----------------------------------------------------------------
899  public:
900  void set_ori(double xa0, double ya0, double za0) ;
901  void set_rot_phi(double phi0) ;
902 
907  virtual void homothetie(double lambda) = 0 ;
908 
918  virtual void resize(int l, double lambda) = 0 ;
919 
920  // Modification of the mapping
921  // ---------------------------
922  public:
924  virtual void operator=(const Map_af& ) = 0 ;
925 
931  virtual void adapt(const Cmp& ent, const Param& par, int nbr=0) = 0 ;
932 
937  void set_new_grid(const Mg3d& new_mg) ;
938 
939 
940  // Values of a Cmp at the new grid points
941  // --------------------------------------
942 
955  virtual void reevaluate(const Map* mp_prev, int nzet,
956  Cmp& uu) const = 0 ;
957 
971  virtual void reevaluate_symy(const Map* mp_prev, int nzet,
972  Cmp& uu) const = 0 ;
973 
986  virtual void reevaluate(const Map* mp_prev, int nzet,
987  Scalar& uu) const = 0 ;
988 
1002  virtual void reevaluate_symy(const Map* mp_prev, int nzet,
1003  Scalar& uu) const = 0 ;
1004 
1005  // Differential operators:
1006  // ----------------------
1007  public:
1014  virtual void dsdxi(const Cmp& ci, Cmp& resu) const = 0 ;
1015 
1022  virtual void dsdr(const Cmp& ci, Cmp& resu) const = 0 ;
1023 
1030  virtual void srdsdt(const Cmp& ci, Cmp& resu) const = 0 ;
1031 
1039  virtual void srstdsdp(const Cmp& ci, Cmp& resu) const = 0 ;
1040 
1048  virtual void dsdxi(const Scalar& uu, Scalar& resu) const = 0 ;
1049 
1057  virtual void dsdr(const Scalar& uu, Scalar& resu) const = 0 ;
1058 
1067  virtual void dsdradial(const Scalar& uu, Scalar& resu) const = 0 ;
1068 
1076  virtual void srdsdt(const Scalar& uu, Scalar& resu) const = 0 ;
1077 
1085  virtual void srstdsdp(const Scalar& uu, Scalar& resu) const = 0 ;
1086 
1091  virtual void dsdt(const Scalar& uu, Scalar& resu) const = 0 ;
1092 
1097  virtual void stdsdp(const Scalar& uu, Scalar& resu) const = 0 ;
1098 
1109  virtual void laplacien(const Scalar& uu, int zec_mult_r,
1110  Scalar& lap) const = 0 ;
1111 
1113  virtual void laplacien(const Cmp& uu, int zec_mult_r,
1114  Cmp& lap) const = 0 ;
1115 
1122  virtual void lapang(const Scalar& uu, Scalar& lap) const = 0 ;
1123 
1124 
1135  virtual void primr(const Scalar& uu, Scalar& resu,
1136  bool null_infty) const = 0 ;
1137 
1138 
1139  // Various linear operators
1140  // ------------------------
1141  public:
1145  virtual void mult_r(Scalar& uu) const = 0 ;
1146 
1150  virtual void mult_r(Cmp& ci) const = 0 ;
1151 
1155  virtual void mult_r_zec(Scalar& ) const = 0 ;
1156 
1159  virtual void mult_rsint(Scalar& ) const = 0 ;
1160 
1163  virtual void div_rsint(Scalar& ) const = 0 ;
1164 
1167  virtual void div_r(Scalar& ) const = 0 ;
1168 
1172  virtual void div_r_zec(Scalar& ) const = 0 ;
1173 
1176  virtual void mult_cost(Scalar& ) const = 0 ;
1177 
1180  virtual void div_cost(Scalar& ) const = 0 ;
1181 
1184  virtual void mult_sint(Scalar& ) const = 0 ;
1185 
1188  virtual void div_sint(Scalar& ) const = 0 ;
1189 
1192  virtual void div_tant(Scalar& ) const = 0 ;
1193 
1203  virtual void comp_x_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1204  const Scalar& v_phi, Scalar& v_x) const = 0 ;
1206  virtual void comp_x_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1207  const Cmp& v_phi, Cmp& v_x) const = 0 ;
1208 
1218  virtual void comp_y_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1219  const Scalar& v_phi, Scalar& v_y) const = 0 ;
1220 
1222  virtual void comp_y_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1223  const Cmp& v_phi, Cmp& v_y) const = 0 ;
1224 
1233  virtual void comp_z_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1234  Scalar& v_z) const = 0 ;
1235 
1237  virtual void comp_z_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1238  Cmp& v_z) const = 0 ;
1239 
1249  virtual void comp_r_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1250  const Scalar& v_z, Scalar& v_r) const = 0 ;
1252  virtual void comp_r_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1253  const Cmp& v_z, Cmp& v_r) const = 0 ;
1254 
1264  virtual void comp_t_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1265  const Scalar& v_z, Scalar& v_t) const = 0 ;
1266 
1268  virtual void comp_t_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1269  const Cmp& v_z, Cmp& v_t) const = 0 ;
1270 
1279  virtual void comp_p_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1280  Scalar& v_p) const = 0 ;
1281 
1283  virtual void comp_p_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1284  Cmp& v_p) const = 0 ;
1285 
1290  virtual void dec_dzpuis(Scalar& ) const = 0 ;
1291 
1296  virtual void dec2_dzpuis(Scalar& ) const = 0 ;
1297 
1302  virtual void inc_dzpuis(Scalar& ) const = 0 ;
1303 
1308  virtual void inc2_dzpuis(Scalar& ) const = 0 ;
1309 
1317  virtual Tbl* integrale(const Scalar&) const = 0 ;
1318 
1326  virtual Tbl* integrale(const Cmp&) const = 0 ;
1327 
1328  // PDE resolution :
1329  // --------------
1330  public:
1341  virtual void poisson(const Cmp& source, Param& par, Cmp& uu) const = 0 ;
1342 
1353  virtual void poisson_tau(const Cmp& source, Param& par, Cmp& uu) const = 0 ;
1354 
1365  virtual void poisson(const Scalar& source, Param& par, Scalar& uu) const = 0 ;
1366 
1377  virtual void poisson_tau(const Scalar& source, Param& par, Scalar& uu) const = 0 ;
1378 
1379  virtual void poisson_falloff(const Cmp& source, Param& par, Cmp& uu,
1380  int k_falloff) const = 0 ;
1381 
1382  virtual void poisson_ylm(const Cmp& source, Param& par, Cmp& pot,
1383  int nylm, double* intvec) const = 0 ;
1384 
1407  virtual void poisson_regular(const Cmp& source, int k_div, int nzet,
1408  double unsgam1, Param& par, Cmp& uu,
1409  Cmp& uu_regu, Cmp& uu_div,
1410  Tenseur& duu_div, Cmp& source_regu,
1411  Cmp& source_div) const = 0 ;
1412 
1426  virtual void poisson_compact(const Cmp& source, const Cmp& aa,
1427  const Tenseur& bb, const Param& par,
1428  Cmp& psi) const = 0 ;
1429 
1444  virtual void poisson_compact(int nzet, const Cmp& source, const Cmp& aa,
1445  const Tenseur& bb, const Param& par,
1446  Cmp& psi) const = 0 ;
1447 
1465  virtual void poisson_angu(const Scalar& source, Param& par,
1466  Scalar& uu, double lambda=0) const = 0 ;
1467 
1468  virtual void poisson_angu(const Cmp& source, Param& par,
1469  Cmp& uu, double lambda=0) const = 0 ;
1470 
1471 
1472  public:
1496  virtual Param* donne_para_poisson_vect (Param& para, int i) const = 0;
1497 
1518  virtual void poisson_frontiere (const Cmp& source,const Valeur& limite,
1519  int raccord, int num_front, Cmp& pot,
1520  double = 0., double = 0.) const = 0 ;
1521 
1522  virtual void poisson_frontiere_double (const Cmp& source, const Valeur& lim_func,
1523  const Valeur& lim_der, int num_zone, Cmp& pot) const = 0 ;
1524 
1525 
1536  virtual void poisson_interne (const Cmp& source, const Valeur& limite,
1537  Param& par, Cmp& pot) const = 0 ;
1538 
1539 
1561  virtual void poisson2d(const Cmp& source_mat, const Cmp& source_quad,
1562  Param& par, Cmp& uu) const = 0 ;
1563 
1577  virtual void dalembert(Param& par, Scalar& fJp1, const Scalar& fJ,
1578  const Scalar& fJm1, const Scalar& source) const = 0 ;
1579 
1580  // Friend functions :
1581  // ----------------
1582  friend ostream& operator<<(ostream& , const Map& ) ;
1583 };
1584 ostream& operator<<(ostream& , const Map& ) ;
1585 
1586 
1587 
1588  //------------------------------------//
1589  // class Map_radial //
1590  //------------------------------------//
1591 
1592 
1593 
1606 class Map_radial : public Map {
1607 
1608  // Data :
1609  // ----
1610 
1611  // 0th order derivatives of the mapping
1612  // - - - - - - - - - - - - - - - - - -
1613  public:
1619  Coord xsr ;
1620 
1621  // 1st order derivatives of the mapping
1622  // - - - - - - - - - - - - - - - - - -
1623  public:
1630  Coord dxdr ;
1631 
1638  Coord drdt ;
1639 
1646  Coord stdrdp ;
1647 
1654  Coord srdrdt ;
1655 
1662  Coord srstdrdp ;
1663 
1670  Coord sr2drdt ;
1671 
1678  Coord sr2stdrdp ;
1679 
1680  // 2nd order derivatives of the mapping
1681  // - - - - - - - - - - - - - - - - - -
1682  public:
1689  Coord d2rdx2 ;
1690 
1701  Coord lapr_tp ;
1702 
1703 
1710  Coord d2rdtdx ;
1711 
1718  Coord sstd2rdpdx ;
1719 
1720 
1727  Coord sr2d2rdt2 ;
1728 
1729 
1730  // Constructors, destructor :
1731  // ------------------------
1732 
1733  protected:
1735  Map_radial(const Mg3d& mgrid ) ;
1736  Map_radial(const Map_radial& mp) ;
1737  Map_radial (const Mg3d&, FILE* ) ;
1738 
1739  public:
1740  virtual ~Map_radial() ;
1741 
1742  // Memory management
1743  // -----------------
1744  protected:
1745  virtual void reset_coord() ;
1746  // Modification of the mapping
1747  // ---------------------------
1748  public:
1750  virtual void operator=(const Map_af& ) = 0 ;
1751 
1752  // Outputs
1753  // -------
1754  public:
1755  virtual void sauve(FILE* ) const ;
1756 
1757  // Extraction of information
1758  // -------------------------
1768  virtual double val_r_jk(int l, double xi, int j, int k) const = 0 ;
1769 
1780  virtual void val_lx_jk(double rr, int j, int k, const Param& par,
1781  int& l, double& xi) const = 0 ;
1782 
1784  virtual bool operator==(const Map& ) const = 0;
1785 
1786  // Values of a Cmp at the new grid points
1787  // --------------------------------------
1800  virtual void reevaluate(const Map* mp_prev, int nzet, Cmp& uu) const ;
1801 
1815  virtual void reevaluate_symy(const Map* mp_prev, int nzet, Cmp& uu)
1816  const ;
1817 
1830  virtual void reevaluate(const Map* mp_prev, int nzet, Scalar& uu) const ;
1831 
1845  virtual void reevaluate_symy(const Map* mp_prev, int nzet, Scalar& uu)
1846  const ;
1847 
1848  // Various linear operators
1849  // ------------------------
1850  public:
1854  virtual void mult_r(Scalar& uu) const ;
1855 
1859  virtual void mult_r(Cmp& ci) const ;
1860 
1865  virtual void mult_r_zec(Scalar& ) const ;
1866 
1869  virtual void mult_rsint(Scalar& ) const ;
1870 
1873  virtual void div_rsint(Scalar& ) const ;
1874 
1877  virtual void div_r(Scalar& ) const ;
1878 
1882  virtual void div_r_zec(Scalar& ) const ;
1883 
1886  virtual void mult_cost(Scalar& ) const ;
1887 
1890  virtual void div_cost(Scalar& ) const ;
1891 
1894  virtual void mult_sint(Scalar& ) const ;
1895 
1898  virtual void div_sint(Scalar& ) const ;
1899 
1902  virtual void div_tant(Scalar& ) const ;
1903 
1913  virtual void comp_x_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1914  const Scalar& v_phi, Scalar& v_x) const ;
1915 
1917  virtual void comp_x_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1918  const Cmp& v_phi, Cmp& v_x) const ;
1919 
1929  virtual void comp_y_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1930  const Scalar& v_phi, Scalar& v_y) const ;
1931 
1933  virtual void comp_y_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1934  const Cmp& v_phi, Cmp& v_y) const ;
1935 
1944  virtual void comp_z_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1945  Scalar& v_z) const ;
1946 
1948  virtual void comp_z_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1949  Cmp& v_z) const ;
1950 
1960  virtual void comp_r_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1961  const Scalar& v_z, Scalar& v_r) const ;
1962 
1964  virtual void comp_r_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1965  const Cmp& v_z, Cmp& v_r) const ;
1966 
1976  virtual void comp_t_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1977  const Scalar& v_z, Scalar& v_t) const ;
1978 
1980  virtual void comp_t_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1981  const Cmp& v_z, Cmp& v_t) const ;
1982 
1991  virtual void comp_p_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1992  Scalar& v_p) const ;
1993 
1995  virtual void comp_p_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1996  Cmp& v_p) const ;
1997 
2003  virtual void dec_dzpuis(Scalar& ) const ;
2004 
2010  virtual void dec2_dzpuis(Scalar& ) const ;
2011 
2017  virtual void inc_dzpuis(Scalar& ) const ;
2018 
2024  virtual void inc2_dzpuis(Scalar& ) const ;
2025 
2026 
2027  // PDE resolution :
2028  // --------------
2029  public:
2052  virtual void poisson_compact(const Cmp& source, const Cmp& aa,
2053  const Tenseur& bb, const Param& par,
2054  Cmp& psi) const ;
2055 
2070  virtual void poisson_compact(int nzet, const Cmp& source, const Cmp& aa,
2071  const Tenseur& bb, const Param& par,
2072  Cmp& psi) const ;
2073 
2074 };
2075 
2076 
2077  //------------------------------------//
2078  // class Map_af //
2079  //------------------------------------//
2080 
2081 
2082 
2097 class Map_af : public Map_radial {
2098 
2099  // Data :
2100  // ----
2101  private:
2103  double* alpha ;
2105  double* beta ;
2106 
2107  // Constructors, destructor :
2108  // ------------------------
2109  public:
2121  Map_af(const Mg3d& mgrille, const double* r_limits) ;
2134  Map_af(const Mg3d& mgrille, const Tbl& r_limits) ;
2135 
2136  Map_af(const Map_af& ) ;
2137  Map_af(const Mg3d&, const string&) ;
2138  Map_af(const Mg3d&, FILE* ) ;
2139 
2151  explicit Map_af(const Map& ) ;
2152 
2153  virtual ~Map_af() ;
2154 
2155  // Assignment
2156  // ----------
2157  public:
2159  virtual void operator=(const Map_af& ) ;
2160 
2161  // Memory management
2162  // -----------------
2163  private:
2165  void set_coord() ;
2166 
2167  // Extraction of information
2168  // -------------------------
2169  public:
2171  const double* get_alpha() const ;
2172 
2174  const double* get_beta() const ;
2175 
2179  virtual const Map_af& mp_angu(int) const ;
2180 
2190  virtual double val_r(int l, double xi, double theta, double pphi) const ;
2191 
2201  virtual void val_lx(double rr, double theta, double pphi,
2202  int& l, double& xi) const ;
2203 
2213  virtual void val_lx(double rr, double theta, double pphi,
2214  const Param& par, int& l, double& xi) const ;
2215 
2225  virtual double val_r_jk(int l, double xi, int j, int k) const ;
2226 
2236  virtual void val_lx_jk(double rr, int j, int k, const Param& par,
2237  int& l, double& xi) const ;
2238 
2240  virtual bool operator==(const Map& ) const ;
2241 
2242 
2243  // Outputs
2244  // -------
2245  public:
2246  virtual void sauve(FILE* ) const ;
2247 
2248  private:
2249  virtual ostream& operator>>(ostream &) const ;
2250 
2251  // Modification of the mapping
2252  // ---------------------------
2253  public:
2258  virtual void homothetie(double lambda) ;
2259 
2269  virtual void resize(int l, double lambda) ;
2270 
2276  void homothetie_interne(double lambda) ;
2277 
2280  virtual void adapt(const Cmp& ent, const Param& par, int nbr=0) ;
2281 
2283  void set_alpha(double alpha0, int l) ;
2284 
2286  void set_beta(double beta0, int l) ;
2287 
2288  // Differential operators:
2289  // ----------------------
2290  public:
2297  virtual void dsdxi(const Cmp& ci, Cmp& resu) const ;
2298 
2305  virtual void dsdr(const Cmp& ci, Cmp& resu) const ;
2306 
2313  virtual void srdsdt(const Cmp& ci, Cmp& resu) const ;
2314 
2322  virtual void srstdsdp(const Cmp& ci, Cmp& resu) const ;
2323 
2331  virtual void dsdr(const Scalar& uu, Scalar& resu) const ;
2332 
2340  virtual void dsdxi(const Scalar& uu, Scalar& resu) const ;
2341 
2349  virtual void dsdradial(const Scalar&, Scalar&) const ;
2350 
2358  virtual void srdsdt(const Scalar& uu, Scalar& resu) const ;
2359 
2367  virtual void srstdsdp(const Scalar& uu, Scalar& resu) const ;
2368 
2373  virtual void dsdt(const Scalar& uu, Scalar& resu) const ;
2374 
2379  virtual void stdsdp(const Scalar& uu, Scalar& resu) const ;
2380 
2391  virtual void laplacien(const Scalar& uu, int zec_mult_r,
2392  Scalar& lap) const ;
2393 
2395  virtual void laplacien(const Cmp& uu, int zec_mult_r,
2396  Cmp& lap) const ;
2397 
2404  virtual void lapang(const Scalar& uu, Scalar& lap) const ;
2405 
2406 
2417  virtual void primr(const Scalar& uu, Scalar& resu,
2418  bool null_infty) const ;
2419 
2420 
2428  virtual Tbl* integrale(const Scalar&) const ;
2429 
2437  virtual Tbl* integrale(const Cmp&) const ;
2438 
2439 
2440  // PDE resolution :
2441  // --------------
2442  public:
2450  virtual void poisson(const Cmp& source, Param& par, Cmp& uu) const ;
2451 
2459  virtual void poisson_tau(const Cmp& source, Param& par, Cmp& uu) const ;
2460 
2468  virtual void poisson(const Scalar& source, Param& par, Scalar& uu) const ;
2469 
2477  virtual void poisson_tau(const Scalar& source, Param& par, Scalar& uu) const ;
2478 
2479  virtual void poisson_falloff(const Cmp& source, Param& par, Cmp& uu,
2480  int k_falloff) const ;
2481 
2482  virtual void poisson_ylm(const Cmp& source, Param& par, Cmp& pot,
2483  int nylm, double* intvec) const ;
2484 
2506  virtual void poisson_regular(const Cmp& source, int k_div, int nzet,
2507  double unsgam1, Param& par, Cmp& uu,
2508  Cmp& uu_regu, Cmp& uu_div,
2509  Tenseur& duu_div, Cmp& source_regu,
2510  Cmp& source_div) const ;
2511 
2529  virtual void poisson_angu(const Scalar& source, Param& par,
2530  Scalar& uu, double lambda=0) const ;
2531  virtual void poisson_angu(const Cmp& source, Param& par,
2532  Cmp& uu, double lambda=0) const ;
2533 
2543  virtual Param* donne_para_poisson_vect (Param& par, int i) const ;
2544 
2549  virtual void poisson_frontiere (const Cmp&, const Valeur&, int, int, Cmp&, double = 0., double = 0.) const ;
2550 
2556  virtual void poisson_frontiere_double (const Cmp& source, const Valeur& lim_func,
2557  const Valeur& lim_der, int num_zone, Cmp& pot) const ;
2558 
2569  virtual void poisson_interne (const Cmp& source, const Valeur& limite,
2570  Param& par, Cmp& pot) const ;
2571 
2576  double integrale_surface (const Cmp& ci, double rayon) const ;
2577 
2582  double integrale_surface (const Scalar& ci, double rayon) const ;
2583 
2584  double integrale_surface_falloff (const Cmp& ci) const ;
2585 
2590  double integrale_surface_infini (const Cmp& ci) const ;
2591 
2596  double integrale_surface_infini (const Scalar& ci) const ;
2597 
2605  void sol_elliptic (Param_elliptic& params,
2606  const Scalar& so, Scalar& uu) const ;
2607 
2608 
2620  void sol_elliptic_boundary (Param_elliptic& params,
2621  const Scalar& so, Scalar& uu, const Mtbl_cf& bound,
2622  double fact_dir, double fact_neu ) const ;
2623 
2628  void sol_elliptic_boundary (Param_elliptic& params,
2629  const Scalar& so, Scalar& uu, const Scalar& bound,
2630  double fact_dir, double fact_neu ) const ;
2631 
2641  void sol_elliptic_no_zec (Param_elliptic& params,
2642  const Scalar& so, Scalar& uu, double val) const ;
2643 
2653  void sol_elliptic_only_zec (Param_elliptic& params,
2654  const Scalar& so, Scalar& uu, double val) const ;
2655 
2661  void sol_elliptic_sin_zec (Param_elliptic& params,
2662  const Scalar& so, Scalar& uu,
2663  double* coefs, double*) const ;
2674  void sol_elliptic_fixe_der_zero (double val,
2675  Param_elliptic& params,
2676  const Scalar& so, Scalar& uu) const ;
2677 
2702  virtual void poisson2d(const Cmp& source_mat, const Cmp& source_quad,
2703  Param& par, Cmp& uu) const ;
2711  void sol_elliptic_2d(Param_elliptic&,
2712  const Scalar&, Scalar&) const ;
2720  void sol_elliptic_pseudo_1d(Param_elliptic&,
2721  const Scalar&, Scalar&) const ;
2722 
2751  virtual void dalembert(Param& par, Scalar& fJp1, const Scalar& fJ,
2752  const Scalar& fJm1, const Scalar& source) const ;
2753 
2759  Scalar interpolate_from_map_star(const Scalar& f_s) const ;
2760 
2761  // Building functions for the Coord's
2762  // ----------------------------------
2763  friend Mtbl* map_af_fait_r(const Map* ) ;
2764  friend Mtbl* map_af_fait_tet(const Map* ) ;
2765  friend Mtbl* map_af_fait_phi(const Map* ) ;
2766  friend Mtbl* map_af_fait_sint(const Map* ) ;
2767  friend Mtbl* map_af_fait_cost(const Map* ) ;
2768  friend Mtbl* map_af_fait_sinp(const Map* ) ;
2769  friend Mtbl* map_af_fait_cosp(const Map* ) ;
2770 
2771  friend Mtbl* map_af_fait_x(const Map* ) ;
2772  friend Mtbl* map_af_fait_y(const Map* ) ;
2773  friend Mtbl* map_af_fait_z(const Map* ) ;
2774 
2775  friend Mtbl* map_af_fait_xa(const Map* ) ;
2776  friend Mtbl* map_af_fait_ya(const Map* ) ;
2777  friend Mtbl* map_af_fait_za(const Map* ) ;
2778 
2779  friend Mtbl* map_af_fait_xsr(const Map* ) ;
2780  friend Mtbl* map_af_fait_dxdr(const Map* ) ;
2781  friend Mtbl* map_af_fait_drdt(const Map* ) ;
2782  friend Mtbl* map_af_fait_stdrdp(const Map* ) ;
2783  friend Mtbl* map_af_fait_srdrdt(const Map* ) ;
2784  friend Mtbl* map_af_fait_srstdrdp(const Map* ) ;
2785  friend Mtbl* map_af_fait_sr2drdt(const Map* ) ;
2786  friend Mtbl* map_af_fait_sr2stdrdp(const Map* ) ;
2787  friend Mtbl* map_af_fait_d2rdx2(const Map* ) ;
2788  friend Mtbl* map_af_fait_lapr_tp(const Map* ) ;
2789  friend Mtbl* map_af_fait_d2rdtdx(const Map* ) ;
2790  friend Mtbl* map_af_fait_sstd2rdpdx(const Map* ) ;
2791  friend Mtbl* map_af_fait_sr2d2rdt2(const Map* ) ;
2792 
2793 };
2794 
2795  Mtbl* map_af_fait_r(const Map* ) ;
2796  Mtbl* map_af_fait_tet(const Map* ) ;
2797  Mtbl* map_af_fait_phi(const Map* ) ;
2798  Mtbl* map_af_fait_sint(const Map* ) ;
2799  Mtbl* map_af_fait_cost(const Map* ) ;
2800  Mtbl* map_af_fait_sinp(const Map* ) ;
2801  Mtbl* map_af_fait_cosp(const Map* ) ;
2802 
2803  Mtbl* map_af_fait_x(const Map* ) ;
2804  Mtbl* map_af_fait_y(const Map* ) ;
2805  Mtbl* map_af_fait_z(const Map* ) ;
2806 
2807  Mtbl* map_af_fait_xa(const Map* ) ;
2808  Mtbl* map_af_fait_ya(const Map* ) ;
2809  Mtbl* map_af_fait_za(const Map* ) ;
2810 
2811  Mtbl* map_af_fait_xsr(const Map* ) ;
2812  Mtbl* map_af_fait_dxdr(const Map* ) ;
2813  Mtbl* map_af_fait_drdt(const Map* ) ;
2814  Mtbl* map_af_fait_stdrdp(const Map* ) ;
2815  Mtbl* map_af_fait_srdrdt(const Map* ) ;
2816  Mtbl* map_af_fait_srstdrdp(const Map* ) ;
2817  Mtbl* map_af_fait_sr2drdt(const Map* ) ;
2818  Mtbl* map_af_fait_sr2stdrdp(const Map* ) ;
2819  Mtbl* map_af_fait_d2rdx2(const Map* ) ;
2820  Mtbl* map_af_fait_lapr_tp(const Map* ) ;
2821  Mtbl* map_af_fait_d2rdtdx(const Map* ) ;
2822  Mtbl* map_af_fait_sstd2rdpdx(const Map* ) ;
2823  Mtbl* map_af_fait_sr2d2rdt2(const Map* ) ;
2824 
2825 
2826 
2827 
2828  //------------------------------------//
2829  // class Map_et //
2830  //------------------------------------//
2831 
2832 
2833 
2859 class Map_et : public Map_radial {
2860 
2861  // Data :
2862  // ----
2863  private:
2865  double* alpha ;
2867  double* beta ;
2868 
2872  Tbl** aa ;
2873 
2877  Tbl** daa ;
2878 
2882  Tbl** ddaa ;
2883 
2885  Tbl aasx ;
2886 
2888  Tbl aasx2 ;
2889 
2893  Tbl zaasx ;
2894 
2898  Tbl zaasx2 ;
2899 
2903  Tbl** bb ;
2904 
2908  Tbl** dbb ;
2909 
2913  Tbl** ddbb ;
2914 
2916  Tbl bbsx ;
2917 
2919  Tbl bbsx2 ;
2920 
2926  Valeur ff ;
2927 
2933  Valeur gg ;
2934 
2935  public:
2941  Coord rsxdxdr ;
2942 
2948  Coord rsx2drdx ;
2949 
2950  // Constructors, destructor :
2951  // ------------------------
2952  public:
2964  Map_et(const Mg3d& mgrille, const double* r_limits) ;
2965 
2983  Map_et(const Mg3d& mgrille, const double* r_limits,const Tbl& tab);
2984  Map_et(const Map_et& ) ;
2985  Map_et(const Mg3d&, FILE* ) ;
2986 
2987  virtual ~Map_et() ;
2988 
2989  // Assignment
2990  // ----------
2991  public:
2993  virtual void operator=(const Map_et& mp) ;
2994 
2996  virtual void operator=(const Map_af& mpa) ;
2997 
2999  void set_ff(const Valeur& ) ;
3001  void set_gg(const Valeur& ) ;
3002 
3003  // Memory management
3004  // -----------------
3005  private:
3007  void set_coord() ;
3008  protected:
3010  virtual void reset_coord() ;
3011 
3012  private:
3014  void fait_poly() ;
3015 
3016  // Extraction of information
3017  // -------------------------
3018  public:
3022  virtual const Map_af& mp_angu(int) const ;
3023 
3027  const double* get_alpha() const ;
3028 
3032  const double* get_beta() const ;
3033 
3035  const Valeur& get_ff() const ;
3036 
3038  const Valeur& get_gg() const ;
3039 
3049  virtual double val_r(int l, double xi, double theta, double pphi) const ;
3050 
3060  virtual void val_lx(double rr, double theta, double pphi,
3061  int& l, double& xi) const ;
3062 
3081  virtual void val_lx(double rr, double theta, double pphi,
3082  const Param& par, int& l, double& xi) const ;
3083 
3085  virtual bool operator==(const Map& ) const ;
3086 
3096  virtual double val_r_jk(int l, double xi, int j, int k) const ;
3097 
3114  virtual void val_lx_jk(double rr, int j, int k, const Param& par,
3115  int& l, double& xi) const ;
3116 
3117 
3118 
3119  // Outputs
3120  // -------
3121  public:
3122  virtual void sauve(FILE* ) const ;
3123 
3124  private:
3125  virtual ostream& operator>>(ostream &) const ;
3126 
3127  // Modification of the radial scale
3128  // --------------------------------
3129  public:
3134  virtual void homothetie(double lambda) ;
3135 
3145  virtual void resize(int l, double lambda) ;
3146 
3153  void resize_extr(double lambda) ;
3154 
3156  void set_alpha(double alpha0, int l) ;
3157 
3159  void set_beta(double beta0, int l) ;
3160 
3161  // Modification of the mapping
3162  // ---------------------------
3207  virtual void adapt(const Cmp& ent, const Param& par, int nbr_filtre = 0) ;
3208 
3209  // Differential operators:
3210  // ----------------------
3211  public:
3218  virtual void dsdxi(const Cmp& ci, Cmp& resu) const ;
3219 
3226  virtual void dsdr(const Cmp& ci, Cmp& resu) const ;
3227 
3234  virtual void srdsdt(const Cmp& ci, Cmp& resu) const ;
3235 
3243  virtual void srstdsdp(const Cmp& ci, Cmp& resu) const ;
3244 
3252  virtual void dsdxi(const Scalar& uu, Scalar& resu) const ;
3253 
3261  virtual void dsdr(const Scalar& uu, Scalar& resu) const ;
3262 
3271  virtual void dsdradial(const Scalar& uu, Scalar& resu) const ;
3272 
3280  virtual void srdsdt(const Scalar& uu, Scalar& resu) const ;
3281 
3289  virtual void srstdsdp(const Scalar& uu, Scalar& resu) const ;
3290 
3295  virtual void dsdt(const Scalar& uu, Scalar& resu) const ;
3296 
3301  virtual void stdsdp(const Scalar& uu, Scalar& resu) const ;
3302 
3313  virtual void laplacien(const Scalar& uu, int zec_mult_r,
3314  Scalar& lap) const ;
3315 
3317  virtual void laplacien(const Cmp& uu, int zec_mult_r,
3318  Cmp& lap) const ;
3319 
3326  virtual void lapang(const Scalar& uu, Scalar& lap) const ;
3327 
3328 
3339  virtual void primr(const Scalar& uu, Scalar& resu,
3340  bool null_infty) const ;
3341 
3342 
3350  virtual Tbl* integrale(const Scalar&) const ;
3351 
3359  virtual Tbl* integrale(const Cmp&) const ;
3360 
3361 
3362  // PDE resolution :
3363  // --------------
3364  public:
3402  virtual void poisson(const Cmp& source, Param& par, Cmp& uu) const ;
3403 
3441  virtual void poisson_tau(const Cmp& source, Param& par, Cmp& uu) const ;
3442 
3480  virtual void poisson(const Scalar& source, Param& par, Scalar& uu) const ;
3481 
3519  virtual void poisson_tau(const Scalar& source, Param& par, Scalar& uu) const ;
3520 
3521  virtual void poisson_falloff(const Cmp& source, Param& par, Cmp& uu,
3522  int k_falloff) const ;
3523 
3524  virtual void poisson_ylm(const Cmp& source, Param& par, Cmp& uu,
3525  int nylm, double* intvec) const ;
3526 
3562  virtual void poisson_regular(const Cmp& source, int k_div, int nzet,
3563  double unsgam1, Param& par, Cmp& uu,
3564  Cmp& uu_regu, Cmp& uu_div,
3565  Tenseur& duu_div, Cmp& source_regu,
3566  Cmp& source_div) const ;
3567 
3585  virtual void poisson_angu(const Scalar& source, Param& par,
3586  Scalar& uu, double lambda=0) const ;
3587  virtual void poisson_angu(const Cmp& source, Param& par,
3588  Cmp& uu, double lambda=0) const ;
3589 
3613  virtual Param* donne_para_poisson_vect (Param& para, int i) const ;
3614 
3618  virtual void poisson_frontiere (const Cmp&, const Valeur&, int, int,
3619  Cmp&, double = 0., double = 0.) const ;
3620  virtual void poisson_frontiere_double (const Cmp& source,
3621  const Valeur& lim_func, const Valeur& lim_der,
3622  int num_zone, Cmp& pot) const ;
3623 
3634  virtual void poisson_interne (const Cmp& source, const Valeur& limite,
3635  Param& par, Cmp& pot) const ;
3636 
3637 
3676  virtual void poisson2d(const Cmp& source_mat, const Cmp& source_quad,
3677  Param& par, Cmp& uu) const ;
3678 
3682  virtual void dalembert(Param& par, Scalar& fJp1, const Scalar& fJ,
3683  const Scalar& fJm1, const Scalar& source) const ;
3684 
3685 
3686 
3687 
3688  // Building functions for the Coord's
3689  // ----------------------------------
3690  friend Mtbl* map_et_fait_r(const Map* ) ;
3691  friend Mtbl* map_et_fait_tet(const Map* ) ;
3692  friend Mtbl* map_et_fait_phi(const Map* ) ;
3693  friend Mtbl* map_et_fait_sint(const Map* ) ;
3694  friend Mtbl* map_et_fait_cost(const Map* ) ;
3695  friend Mtbl* map_et_fait_sinp(const Map* ) ;
3696  friend Mtbl* map_et_fait_cosp(const Map* ) ;
3697 
3698  friend Mtbl* map_et_fait_x(const Map* ) ;
3699  friend Mtbl* map_et_fait_y(const Map* ) ;
3700  friend Mtbl* map_et_fait_z(const Map* ) ;
3701 
3702  friend Mtbl* map_et_fait_xa(const Map* ) ;
3703  friend Mtbl* map_et_fait_ya(const Map* ) ;
3704  friend Mtbl* map_et_fait_za(const Map* ) ;
3705 
3706  friend Mtbl* map_et_fait_xsr(const Map* ) ;
3707  friend Mtbl* map_et_fait_dxdr(const Map* ) ;
3708  friend Mtbl* map_et_fait_drdt(const Map* ) ;
3709  friend Mtbl* map_et_fait_stdrdp(const Map* ) ;
3710  friend Mtbl* map_et_fait_srdrdt(const Map* ) ;
3711  friend Mtbl* map_et_fait_srstdrdp(const Map* ) ;
3712  friend Mtbl* map_et_fait_sr2drdt(const Map* ) ;
3713  friend Mtbl* map_et_fait_sr2stdrdp(const Map* ) ;
3714  friend Mtbl* map_et_fait_d2rdx2(const Map* ) ;
3715  friend Mtbl* map_et_fait_lapr_tp(const Map* ) ;
3716  friend Mtbl* map_et_fait_d2rdtdx(const Map* ) ;
3717  friend Mtbl* map_et_fait_sstd2rdpdx(const Map* ) ;
3718  friend Mtbl* map_et_fait_sr2d2rdt2(const Map* ) ;
3719 
3720  friend Mtbl* map_et_fait_rsxdxdr(const Map* ) ;
3721  friend Mtbl* map_et_fait_rsx2drdx(const Map* ) ;
3722 
3723 };
3724 
3725  Mtbl* map_et_fait_r(const Map* ) ;
3726  Mtbl* map_et_fait_tet(const Map* ) ;
3727  Mtbl* map_et_fait_phi(const Map* ) ;
3728  Mtbl* map_et_fait_sint(const Map* ) ;
3729  Mtbl* map_et_fait_cost(const Map* ) ;
3730  Mtbl* map_et_fait_sinp(const Map* ) ;
3731  Mtbl* map_et_fait_cosp(const Map* ) ;
3732 
3733  Mtbl* map_et_fait_x(const Map* ) ;
3734  Mtbl* map_et_fait_y(const Map* ) ;
3735  Mtbl* map_et_fait_z(const Map* ) ;
3736 
3737  Mtbl* map_et_fait_xa(const Map* ) ;
3738  Mtbl* map_et_fait_ya(const Map* ) ;
3739  Mtbl* map_et_fait_za(const Map* ) ;
3740 
3741  Mtbl* map_et_fait_xsr(const Map* ) ;
3742  Mtbl* map_et_fait_dxdr(const Map* ) ;
3743  Mtbl* map_et_fait_drdt(const Map* ) ;
3744  Mtbl* map_et_fait_stdrdp(const Map* ) ;
3745  Mtbl* map_et_fait_srdrdt(const Map* ) ;
3746  Mtbl* map_et_fait_srstdrdp(const Map* ) ;
3747  Mtbl* map_et_fait_sr2drdt(const Map* ) ;
3748  Mtbl* map_et_fait_sr2stdrdp(const Map* ) ;
3749  Mtbl* map_et_fait_d2rdx2(const Map* ) ;
3750  Mtbl* map_et_fait_lapr_tp(const Map* ) ;
3751  Mtbl* map_et_fait_d2rdtdx(const Map* ) ;
3752  Mtbl* map_et_fait_sstd2rdpdx(const Map* ) ;
3753  Mtbl* map_et_fait_sr2d2rdt2(const Map* ) ;
3754 
3755  Mtbl* map_et_fait_rsxdxdr(const Map* ) ;
3756  Mtbl* map_et_fait_rsx2drdx(const Map* ) ;
3757 
3758  //------------------------------------//
3759  // class Map_log //
3760  //------------------------------------//
3761 
3762 #define AFFINE 0
3763 #define LOG 1
3764 
3779 class Map_log : public Map_radial {
3780 
3781  // Data :
3782  // ----
3783  private:
3785  Tbl alpha ;
3787  Tbl beta ;
3791  Itbl type_var ;
3792 
3793  public:
3799  Coord dxdlnr ;
3800 
3801  private:
3802  void set_coord() ;
3803 
3804  // Constructors, destructor :
3805  // ------------------------
3806  public:
3819  Map_log (const Mg3d& mgrille, const Tbl& r_limits, const Itbl& typevar) ;
3820 
3821 
3822  Map_log (const Map_log& ) ;
3823  Map_log (const Mg3d&, FILE* ) ;
3824 
3825  virtual ~Map_log() ;
3826 
3830  virtual const Map_af& mp_angu(int) const ;
3831 
3833  double get_alpha (int l) const {return alpha(l) ;} ;
3835  double get_beta (int l) const {return beta(l) ;} ;
3837  int get_type (int l) const {return type_var(l) ;} ;
3838 
3846  void sol_elliptic (Param_elliptic& params,
3847  const Scalar& so, Scalar& uu) const ;
3848 
3849 
3861  void sol_elliptic_boundary (Param_elliptic& params,
3862  const Scalar& so, Scalar& uu, const Mtbl_cf& bound,
3863  double fact_dir, double fact_neu ) const ;
3864 
3868  void sol_elliptic_boundary (Param_elliptic& params,
3869  const Scalar& so, Scalar& uu, const Scalar& bound,
3870  double fact_dir, double fact_neu ) const ;
3871 
3872 
3882  void sol_elliptic_no_zec (Param_elliptic& params,
3883  const Scalar& so, Scalar& uu, double) const ;
3884 
3885 
3886  virtual void sauve(FILE*) const ;
3887 
3889  virtual void operator=(const Map_af& mpa) ;
3890 
3891 
3892  virtual ostream& operator>> (ostream&) const ;
3893 
3903  virtual double val_r (int l, double xi, double theta, double pphi) const ;
3904 
3914  virtual void val_lx (double rr, double theta, double pphi, int& l, double& xi) const ;
3915 
3925  virtual void val_lx (double rr, double theta, double pphi, const Param& par, int& l, double& xi) const ;
3926 
3927 
3928  virtual bool operator== (const Map&) const ;
3929 
3939  virtual double val_r_jk (int l, double xi, int j, int k) const ;
3940 
3950  virtual void val_lx_jk (double rr, int j, int k, const Param& par, int& l, double& xi) const ;
3951 
3958  virtual void dsdr (const Scalar& ci, Scalar& resu) const ;
3959 
3966  virtual void dsdxi (const Scalar& ci, Scalar& resu) const ;
3967 
3976  virtual void dsdradial (const Scalar& uu, Scalar& resu) const ;
3977 
3978  virtual void homothetie (double) ;
3979  virtual void resize (int, double) ;
3980  virtual void adapt (const Cmp&, const Param&, int) ;
3981  virtual void dsdr (const Cmp&, Cmp&) const ;
3982  virtual void dsdxi (const Cmp&, Cmp&) const ;
3983  virtual void srdsdt (const Cmp&, Cmp&) const ;
3984  virtual void srstdsdp (const Cmp&, Cmp&) const ;
3985  virtual void srstdsdp (const Scalar&, Scalar&) const ;
3986  virtual void srdsdt (const Scalar&, Scalar&) const ;
3987  virtual void dsdt (const Scalar&, Scalar&) const ;
3988  virtual void stdsdp (const Scalar&, Scalar&) const ;
3989  virtual void laplacien (const Scalar&, int, Scalar&) const ;
3990  virtual void laplacien (const Cmp&, int, Cmp&) const ;
3991  virtual void lapang (const Scalar&, Scalar&) const ;
3992  virtual void primr(const Scalar&, Scalar&, bool) const ;
3993  virtual Tbl* integrale (const Scalar&) const ;
3994  virtual Tbl* integrale (const Cmp&) const ;
3995  virtual void poisson (const Cmp&, Param&, Cmp&) const ;
3996  virtual void poisson (const Scalar&, Param&, Scalar&) const ;
3997  virtual void poisson_tau (const Cmp&, Param&, Cmp&) const ;
3998  virtual void poisson_tau (const Scalar&, Param&, Scalar&) const ;
3999  virtual void poisson_falloff(const Cmp&, Param&, Cmp&, int) const ;
4000  virtual void poisson_ylm(const Cmp&, Param&, Cmp&, int, double*) const ;
4001  virtual void poisson_regular (const Cmp&, int, int, double, Param&, Cmp&, Cmp&, Cmp&,
4002  Tenseur&, Cmp&, Cmp&) const ;
4003  virtual void poisson_angu (const Scalar&, Param&, Scalar&, double=0) const ;
4004  virtual void poisson_angu (const Cmp&, Param&, Cmp&, double=0) const ;
4005  virtual Param* donne_para_poisson_vect (Param&, int) const ;
4006  virtual void poisson_frontiere (const Cmp&, const Valeur&, int, int, Cmp&, double = 0., double = 0.) const ;
4007  virtual void poisson_frontiere_double (const Cmp&, const Valeur&, const Valeur&, int, Cmp&) const ;
4008  virtual void poisson_interne (const Cmp&, const Valeur&, Param&, Cmp&) const ;
4009  virtual void poisson2d (const Cmp&, const Cmp&, Param&, Cmp&) const ;
4010  virtual void dalembert (Param&, Scalar&, const Scalar&, const Scalar&, const Scalar&) const ;
4011 
4012 
4013  // Building functions for the Coord's
4014  // ----------------------------------
4015  friend Mtbl* map_log_fait_r(const Map* ) ;
4016  friend Mtbl* map_log_fait_tet(const Map* ) ;
4017  friend Mtbl* map_log_fait_phi(const Map* ) ;
4018  friend Mtbl* map_log_fait_sint(const Map* ) ;
4019  friend Mtbl* map_log_fait_cost(const Map* ) ;
4020  friend Mtbl* map_log_fait_sinp(const Map* ) ;
4021  friend Mtbl* map_log_fait_cosp(const Map* ) ;
4022 
4023  friend Mtbl* map_log_fait_x(const Map* ) ;
4024  friend Mtbl* map_log_fait_y(const Map* ) ;
4025  friend Mtbl* map_log_fait_z(const Map* ) ;
4026 
4027  friend Mtbl* map_log_fait_xa(const Map* ) ;
4028  friend Mtbl* map_log_fait_ya(const Map* ) ;
4029  friend Mtbl* map_log_fait_za(const Map* ) ;
4030 
4031  friend Mtbl* map_log_fait_xsr(const Map* ) ;
4032  friend Mtbl* map_log_fait_dxdr(const Map* ) ;
4033  friend Mtbl* map_log_fait_drdt(const Map* ) ;
4034  friend Mtbl* map_log_fait_stdrdp(const Map* ) ;
4035  friend Mtbl* map_log_fait_srdrdt(const Map* ) ;
4036  friend Mtbl* map_log_fait_srstdrdp(const Map* ) ;
4037  friend Mtbl* map_log_fait_sr2drdt(const Map* ) ;
4038  friend Mtbl* map_log_fait_sr2stdrdp(const Map* ) ;
4039  friend Mtbl* map_log_fait_d2rdx2(const Map* ) ;
4040  friend Mtbl* map_log_fait_lapr_tp(const Map* ) ;
4041  friend Mtbl* map_log_fait_d2rdtdx(const Map* ) ;
4042  friend Mtbl* map_log_fait_sstd2rdpdx(const Map* ) ;
4043  friend Mtbl* map_log_fait_sr2d2rdt2(const Map* ) ;
4044  friend Mtbl* map_log_fait_dxdlnr(const Map* ) ;
4045 
4046 };
4047 
4048 Mtbl* map_log_fait_r(const Map* ) ;
4049 Mtbl* map_log_fait_tet(const Map* ) ;
4050 Mtbl* map_log_fait_phi(const Map* ) ;
4051 Mtbl* map_log_fait_sint(const Map* ) ;
4052 Mtbl* map_log_fait_cost(const Map* ) ;
4053 Mtbl* map_log_fait_sinp(const Map* ) ;
4054 Mtbl* map_log_fait_cosp(const Map* ) ;
4055 
4056 Mtbl* map_log_fait_x(const Map* ) ;
4057 Mtbl* map_log_fait_y(const Map* ) ;
4058 Mtbl* map_log_fait_z(const Map* ) ;
4059 
4060 Mtbl* map_log_fait_xa(const Map* ) ;
4061 Mtbl* map_log_fait_ya(const Map* ) ;
4062 Mtbl* map_log_fait_za(const Map* ) ;
4063 
4064 Mtbl* map_log_fait_xsr(const Map* ) ;
4065 Mtbl* map_log_fait_dxdr(const Map* ) ;
4066 Mtbl* map_log_fait_drdt(const Map* ) ;
4067 Mtbl* map_log_fait_stdrdp(const Map* ) ;
4068 Mtbl* map_log_fait_srdrdt(const Map* ) ;
4069 Mtbl* map_log_fait_srstdrdp(const Map* ) ;
4070 Mtbl* map_log_fait_sr2drdt(const Map* ) ;
4071 Mtbl* map_log_fait_sr2stdrdp(const Map* ) ;
4072 Mtbl* map_log_fait_d2rdx2(const Map* ) ;
4073 Mtbl* map_log_fait_lapr_tp(const Map* ) ;
4074 Mtbl* map_log_fait_d2rdtdx(const Map* ) ;
4075 Mtbl* map_log_fait_sstd2rdpdx(const Map* ) ;
4076 Mtbl* map_log_fait_sr2d2rdt2(const Map* ) ;
4077 
4078 Mtbl* map_log_fait_dxdlnr (const Map*) ;
4079 
4080 }
4081 
4082  //------------------------//
4083  // Remaining Mappings //
4084  //------------------------//
4085 
4086 #include "map_star.h"
4087 
4088 #endif
Lorene::Map::xa
Coord xa
Absolute x coordinate.
Definition: map.h:757
Lorene::Map_log::val_r
virtual double val_r(int l, double xi, double theta, double pphi) const
Returns the value of the radial coordinate r for a given in a given domain.
Definition: map_log_radius.C:64
Lorene::Map_af::set_coord
void set_coord()
Assignment of the building functions to the member Coords.
Definition: map_af.C:533
Lorene::Map_af::sauve
virtual void sauve(FILE *) const
Save in a file.
Definition: map_af.C:619
Lorene::Map_log::beta
Tbl beta
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:3787
Lorene::Map_log::operator==
virtual bool operator==(const Map &) const
Comparison operator (egality)
Definition: map_log.C:175
Lorene::Map_radial::d2rdx2
Coord d2rdx2
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1689
Lorene::Map_log::integrale
virtual Tbl * integrale(const Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:154
Lorene::Map_et::bb
Tbl ** bb
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2903
Lorene::Map_radial::sr2d2rdt2
Coord sr2d2rdt2
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1727
Lorene::Map_radial::sr2stdrdp
Coord sr2stdrdp
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1678
Lorene::Cmp
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Definition: cmp.h:446
Lorene::Map_log::stdsdp
virtual void stdsdp(const Scalar &, Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:138
Lorene::Map_et::zaasx
Tbl zaasx
Values at the nr collocation points of in the outermost compactified domain.
Definition: map.h:2893
Lorene::Map_af::srstdsdp
virtual void srstdsdp(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_af_deriv.C:636
Lorene::Map_af::get_alpha
const double * get_alpha() const
Returns the pointer on the array alpha.
Definition: map_af.C:607
Lorene::Map_af::primr
virtual void primr(const Scalar &uu, Scalar &resu, bool null_infty) const
Computes the radial primitive which vanishes for .
Definition: map_af_primr.C:86
Lorene::Map_et::fait_poly
void fait_poly()
Construction of the polynomials and .
Definition: map_et.C:668
Lorene::Map_af::integrale_surface
double integrale_surface(const Cmp &ci, double rayon) const
Performs the surface integration of ci on the sphere of radius rayon .
Definition: map_af_integ_surf.C:99
Lorene::Map_et::set_gg
void set_gg(const Valeur &)
Assigns a given value to the function .
Definition: map_et.C:593
Lorene::Map_et
Radial mapping of rather general form.
Definition: map.h:2859
Lorene::Map::mp_angu
virtual const Map_af & mp_angu(int) const =0
Returns the "angular" mapping for the outside of domain l_zone.
Lorene::Map_et::primr
virtual void primr(const Scalar &uu, Scalar &resu, bool null_infty) const
Computes the radial primitive which vanishes for .
Definition: map_et_integ.C:116
Lorene::Map_et::get_alpha
const double * get_alpha() const
Returns a pointer on the array alpha (values of in each domain)
Definition: map_et.C:1049
Lorene::Map::mult_sint
virtual void mult_sint(Scalar &) const =0
Multiplication by of a Scalar.
Lorene::Map::sauve
virtual void sauve(FILE *) const
Save in a file.
Definition: map.C:230
Lorene::Map_radial::mult_cost
virtual void mult_cost(Scalar &) const
Multiplication by of a Scalar.
Definition: map_radial_th_manip.C:64
Lorene::Map::cmp_zero
const Cmp & cmp_zero() const
Returns the null Cmp defined on *this.
Definition: map.h:834
Lorene::Map_et::get_beta
const double * get_beta() const
Returns a pointer on the array beta (values of in each domain)
Definition: map_et.C:1053
Lorene::Map_et::dsdt
virtual void dsdt(const Scalar &uu, Scalar &resu) const
Computes of a Scalar.
Definition: map_et_deriv.C:632
Lorene::Map::dsdxi
virtual void dsdxi(const Cmp &ci, Cmp &resu) const =0
Computes of a Cmp .
Lorene::Map_et::val_lx
virtual void val_lx(double rr, double theta, double pphi, int &l, double &xi) const
Computes the domain index l and the value of corresponding to a point given by its physical coordina...
Definition: map_et_radius.C:149
Lorene::Map::set_rot_phi
void set_rot_phi(double phi0)
Sets a new rotation angle.
Definition: map.C:269
Lorene::Map::operator>>
virtual ostream & operator>>(ostream &) const =0
Operator >>
Lorene::Map_af::integrale_surface_infini
double integrale_surface_infini(const Cmp &ci) const
Performs the surface integration of ci at infinity.
Definition: map_af_integ_surf.C:214
Lorene::Map_af::homothetie
virtual void homothetie(double lambda)
Sets a new radial scale.
Definition: map_af.C:667
Lorene::Mtbl
Multi-domain array.
Definition: mtbl.h:118
Lorene::Map_af::alpha
double * alpha
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:2103
Lorene::Map_radial::div_tant
virtual void div_tant(Scalar &) const
Division by of a Scalar.
Definition: map_radial_th_manip.C:161
Lorene::Map::get_ori_y
double get_ori_y() const
Returns the y coordinate of the origin.
Definition: map.h:797
Lorene::Map::get_bvect_spher
const Base_vect_spher & get_bvect_spher() const
Returns the orthonormal vectorial basis associated with the coordinates of the mapping.
Definition: map.h:810
Lorene::Map_et::alpha
double * alpha
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:2865
Lorene::Map::dsdt
virtual void dsdt(const Scalar &uu, Scalar &resu) const =0
Computes of a Scalar .
Lorene::Map_et::poisson2d
virtual void poisson2d(const Cmp &source_mat, const Cmp &source_quad, Param &par, Cmp &uu) const
Computes the solution of a 2-D Poisson equation.
Definition: map_et_poisson2d.C:83
Lorene::Map_et::val_lx_jk
virtual void val_lx_jk(double rr, int j, int k, const Param &par, int &l, double &xi) const
Computes the domain index l and the value of corresponding to a point of arbitrary r but collocation...
Definition: map_et_radius.C:421
Lorene::Map_log::get_alpha
double get_alpha(int l) const
Returns in the domain l.
Definition: map.h:3833
Lorene
Lorene prototypes.
Definition: app_hor.h:67
Lorene::Map_af::dsdradial
virtual void dsdradial(const Scalar &, Scalar &) const
Computes of a Scalar.
Definition: map_af_deriv.C:420
Lorene::Map_af::sol_elliptic_only_zec
void sol_elliptic_only_zec(Param_elliptic &params, const Scalar &so, Scalar &uu, double val) const
General elliptic solver.
Definition: map_af_elliptic.C:371
Lorene::Map::p_cmp_zero
Cmp * p_cmp_zero
The null Cmp.
Definition: map.h:740
Lorene::Map_af::srdsdt
virtual void srdsdt(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_af_deriv.C:478
Lorene::Map::comp_p_from_cartesian
virtual void comp_p_from_cartesian(const Scalar &v_x, const Scalar &v_y, Scalar &v_p) const =0
Computes the Spherical component (with respect to bvect_spher ) of a vector given by its cartesian c...
Lorene::Map::get_mg
const Mg3d * get_mg() const
Gives the Mg3d on which the mapping is defined.
Definition: map.h:792
Lorene::Map_et::val_r
virtual double val_r(int l, double xi, double theta, double pphi) const
Returns the value of the radial coordinate r for a given in a given domain.
Definition: map_et_radius.C:95
Lorene::Map::dsdr
virtual void dsdr(const Cmp &ci, Cmp &resu) const =0
Computes of a Cmp .
Lorene::Metric_flat
Flat metric for tensor calculation.
Definition: metric.h:261
Lorene::Map_radial::sr2drdt
Coord sr2drdt
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1670
Lorene::Map_log::get_type
int get_type(int l) const
Returns the type of description in the domain l.
Definition: map.h:3837
Lorene::Map_et::bbsx
Tbl bbsx
Values at the nr collocation points of in the nucleus.
Definition: map.h:2916
Lorene::Scalar
Tensor field of valence 0 (or component of a tensorial field).
Definition: scalar.h:399
Lorene::Map_et::srstdsdp
virtual void srstdsdp(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_et_deriv.C:488
Lorene::Map_log::donne_para_poisson_vect
virtual Param * donne_para_poisson_vect(Param &, int) const
< Not implemented
Definition: map_log_pas_fait.C:193
Lorene::Map::primr
virtual void primr(const Scalar &uu, Scalar &resu, bool null_infty) const =0
Computes the radial primitive which vanishes for .
Lorene::Map
Base class for coordinate mappings.
Definition: map.h:697
Lorene::Map::get_ori_x
double get_ori_x() const
Returns the x coordinate of the origin.
Definition: map.h:795
Lorene::Map_et::get_gg
const Valeur & get_gg() const
Returns a (constant) reference to the function .
Definition: map_et.C:1061
Lorene::Map_af::sol_elliptic_2d
void sol_elliptic_2d(Param_elliptic &, const Scalar &, Scalar &) const
General elliptic solver in a 2D case.
Definition: map_af_elliptic_2d.C:61
Lorene::Map_af::poisson_frontiere_double
virtual void poisson_frontiere_double(const Cmp &source, const Valeur &lim_func, const Valeur &lim_der, int num_zone, Cmp &pot) const
Solver of the Poisson equation with boundary condition for the affine mapping case, cases with boundary conditions of both Dirichlet and Neumann type (no condition imposed at infinity).
Definition: cmp_pde_frontiere.C:211
Lorene::Map::div_tant
virtual void div_tant(Scalar &) const =0
Division by of a Scalar.
Lorene::Map_radial::dec_dzpuis
virtual void dec_dzpuis(Scalar &) const
Decreases by 1 the value of dzpuis of a Scalar and changes accordingly its values in the compactified...
Definition: map_radial_r_manip.C:646
Lorene::Map_af::val_r
virtual double val_r(int l, double xi, double theta, double pphi) const
Returns the value of the radial coordinate r for a given in a given domain.
Definition: map_af_radius.C:99
Lorene::Map::adapt
virtual void adapt(const Cmp &ent, const Param &par, int nbr=0)=0
Adaptation of the mapping to a given scalar field.
Lorene::Map_radial::comp_y_from_spherical
virtual void comp_y_from_spherical(const Scalar &v_r, const Scalar &v_theta, const Scalar &v_phi, Scalar &v_y) const
Computes the Cartesian y component (with respect to bvect_cart ) of a vector given by its spherical c...
Definition: map_radial_comp_xyz.C:138
Lorene::Map_af::mp_angu
virtual const Map_af & mp_angu(int) const
Returns the "angular" mapping for the outside of domain l_zone.
Definition: map_af.C:786
Lorene::Itbl
Basic integer array class.
Definition: itbl.h:122
Lorene::Map_af::poisson_regular
virtual void poisson_regular(const Cmp &source, int k_div, int nzet, double unsgam1, Param &par, Cmp &uu, Cmp &uu_regu, Cmp &uu_div, Tenseur &duu_div, Cmp &source_regu, Cmp &source_div) const
Computes the solution of a scalar Poisson equation.
Definition: map_af_poisson_regu.C:112
Lorene::Map::poisson_compact
virtual void poisson_compact(const Cmp &source, const Cmp &aa, const Tenseur &bb, const Param &par, Cmp &psi) const =0
Resolution of the elliptic equation in the case where the stellar interior is covered by a single do...
Lorene::Map_log::laplacien
virtual void laplacien(const Scalar &, int, Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:146
Lorene::Map_et::dsdxi
virtual void dsdxi(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_et_deriv.C:98
Lorene::Map::inc_dzpuis
virtual void inc_dzpuis(Scalar &) const =0
Increases by 1 the value of dzpuis of a Scalar and changes accordingly its values in the compactifi...
Lorene::Map_radial::dec2_dzpuis
virtual void dec2_dzpuis(Scalar &) const
Decreases by 2 the value of dzpuis of a Scalar and changes accordingly its values in the compactifi...
Definition: map_radial_r_manip.C:751
Lorene::Map_log::operator>>
virtual ostream & operator>>(ostream &) const
Operator >>
Definition: map_log.C:207
Lorene::Valeur
Values and coefficients of a (real-value) function.
Definition: valeur.h:297
Lorene::Map_radial::inc_dzpuis
virtual void inc_dzpuis(Scalar &) const
Increases by 1 the value of dzpuis of a Scalar and changes accordingly its values in the compactifi...
Definition: map_radial_r_manip.C:699
Lorene::Map_af::operator=
virtual void operator=(const Map_af &)
Assignment to another affine mapping.
Definition: map_af.C:510
Lorene::Map::operator==
virtual bool operator==(const Map &) const =0
Comparison operator (egality)
Lorene::Map::mult_rsint
virtual void mult_rsint(Scalar &) const =0
Multiplication by of a Scalar.
Lorene::Map::p_mp_angu
Map_af * p_mp_angu
Pointer on the "angular" mapping.
Definition: map.h:742
Lorene::Map_af::operator==
virtual bool operator==(const Map &) const
Comparison operator (egality)
Definition: map_af.C:569
Lorene::Map_log::val_lx
virtual void val_lx(double rr, double theta, double pphi, int &l, double &xi) const
Computes the domain index l and the value of corresponding to a point given by its physical coordina...
Definition: map_log_radius.C:121
Lorene::Map::get_rot_phi
double get_rot_phi() const
Returns the angle between the x –axis and X –axis.
Definition: map.h:802
Lorene::Map::set_new_grid
void set_new_grid(const Mg3d &new_mg)
Sets a new grid to a Map.
Definition: map.C:348
Lorene::Map_et::ddbb
Tbl ** ddbb
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2913
Lorene::Map_log::type_var
Itbl type_var
Array (size: mg->nzone ) of the type of variable in each domain.
Definition: map.h:3791
Lorene::Map::comp_x_from_spherical
virtual void comp_x_from_spherical(const Scalar &v_r, const Scalar &v_theta, const Scalar &v_phi, Scalar &v_x) const =0
Computes the Cartesian x component (with respect to bvect_cart ) of a vector given by its spherical c...
Lorene::Map::srdsdt
virtual void srdsdt(const Cmp &ci, Cmp &resu) const =0
Computes of a Cmp .
Lorene::Map::flat_met_cart
const Metric_flat & flat_met_cart() const
Returns the flat metric associated with the Cartesian coordinates and with components expressed in th...
Definition: map.C:337
Lorene::Map_et::daa
Tbl ** daa
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2877
Lorene::Map_af::dalembert
virtual void dalembert(Param &par, Scalar &fJp1, const Scalar &fJ, const Scalar &fJm1, const Scalar &source) const
Performs one time-step integration of the d&#39;Alembert scalar equation.
Definition: map_af_dalembert.C:125
Lorene::Map_radial::srstdrdp
Coord srstdrdp
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1662
Lorene::Map_af::integrale
virtual Tbl * integrale(const Scalar &) const
Computes the integral over all space of a Scalar.
Definition: map_af_integ.C:89
Lorene::Map::div_r_zec
virtual void div_r_zec(Scalar &) const =0
Division by r (in the compactified external domain only) of a Scalar.
Lorene::Map_af::val_r_jk
virtual double val_r_jk(int l, double xi, int j, int k) const
Returns the value of the radial coordinate r for a given and a given collocation point in in a give...
Definition: map_af_radius.C:208
Lorene::Map::poisson_tau
virtual void poisson_tau(const Cmp &source, Param &par, Cmp &uu) const =0
Computes the solution of a scalar Poisson equationwith a Tau method (Cmp version).
Lorene::Map::tet
Coord tet
coordinate centered on the grid
Definition: map.h:746
Lorene::Map_log::srstdsdp
virtual void srstdsdp(const Cmp &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:122
Lorene::Map_af::stdsdp
virtual void stdsdp(const Scalar &uu, Scalar &resu) const
Computes of a Scalar.
Definition: map_af_deriv.C:826
Lorene::Map_log::dsdt
virtual void dsdt(const Scalar &, Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:134
Lorene::Map_af::operator>>
virtual ostream & operator>>(ostream &) const
Operator >>
Definition: map_af.C:633
Lorene::Map::set_ori
void set_ori(double xa0, double ya0, double za0)
Sets a new origin.
Definition: map.C:259
Lorene::Map_et::stdsdp
virtual void stdsdp(const Scalar &uu, Scalar &resu) const
Computes of a Scalar.
Definition: map_et_deriv.C:677
Lorene::Map::phi
Coord phi
coordinate centered on the grid
Definition: map.h:747
Lorene::Map_af::set_beta
void set_beta(double beta0, int l)
Modifies the value of in domain no. l.
Definition: map_af.C:771
Lorene::Map_radial::div_r
virtual void div_r(Scalar &) const
Division by r of a Scalar.
Definition: map_radial_r_manip.C:517
Lorene::Map_radial::comp_z_from_spherical
virtual void comp_z_from_spherical(const Scalar &v_r, const Scalar &v_theta, Scalar &v_z) const
Computes the Cartesian z component (with respect to bvect_cart ) of a vector given by its spherical c...
Definition: map_radial_comp_xyz.C:195
Lorene::Map_af::dsdxi
virtual void dsdxi(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_af_deriv.C:139
Lorene::Map::poisson_interne
virtual void poisson_interne(const Cmp &source, const Valeur &limite, Param &par, Cmp &pot) const =0
Computes the solution of a Poisson equation in the shell, imposing a boundary condition at the surfac...
Lorene::Map_et::donne_para_poisson_vect
virtual Param * donne_para_poisson_vect(Param &para, int i) const
Internal function intended to be used by Map::poisson_vect and Map::poisson_vect_oohara ...
Definition: map_poisson_vect.C:78
Lorene::Map::sint
Coord sint
Definition: map.h:748
Lorene::Map::dec2_dzpuis
virtual void dec2_dzpuis(Scalar &) const =0
Decreases by 2 the value of dzpuis of a Scalar and changes accordingly its values in the compactifi...
Lorene::Map_radial::comp_t_from_cartesian
virtual void comp_t_from_cartesian(const Scalar &v_x, const Scalar &v_y, const Scalar &v_z, Scalar &v_t) const
Computes the Spherical component (with respect to bvect_spher ) of a vector given by its cartesian c...
Definition: map_radial_comp_rtp.C:131
Lorene::Map_et::poisson
virtual void poisson(const Cmp &source, Param &par, Cmp &uu) const
Computes the solution of a scalar Poisson equation (Cmp version).
Definition: map_et_poisson.C:610
Lorene::Map_log::dxdlnr
Coord dxdlnr
Same as dxdr if the domains where the description is affine and where it is logarithmic.
Definition: map.h:3799
Lorene::Map_af::~Map_af
virtual ~Map_af()
Destructor.
Definition: map_af.C:498
Lorene::Map_radial::comp_r_from_cartesian
virtual void comp_r_from_cartesian(const Scalar &v_x, const Scalar &v_y, const Scalar &v_z, Scalar &v_r) const
Computes the Spherical r component (with respect to bvect_spher ) of a vector given by its cartesian ...
Definition: map_radial_comp_rtp.C:75
Lorene::Map::comp_t_from_cartesian
virtual void comp_t_from_cartesian(const Scalar &v_x, const Scalar &v_y, const Scalar &v_z, Scalar &v_t) const =0
Computes the Spherical component (with respect to bvect_spher ) of a vector given by its cartesian c...
Lorene::Map_et::poisson_frontiere
virtual void poisson_frontiere(const Cmp &, const Valeur &, int, int, Cmp &, double=0., double=0.) const
Not yet implemented.
Definition: cmp_pde_frontiere.C:127
Lorene::Map::val_r
virtual double val_r(int l, double xi, double theta, double pphi) const =0
Returns the value of the radial coordinate r for a given in a given domain.
Lorene::Map::operator=
virtual void operator=(const Map_af &)=0
Assignment to an affine mapping.
Lorene::Map::dalembert
virtual void dalembert(Param &par, Scalar &fJp1, const Scalar &fJ, const Scalar &fJm1, const Scalar &source) const =0
Performs one time-step integration of the d&#39;Alembert scalar equation.
Lorene::Map::p_flat_met_spher
Metric_flat * p_flat_met_spher
Pointer onto the flat metric associated with the spherical coordinates and with components expressed ...
Definition: map.h:729
Lorene::Map_af::Map_af
Map_af(const Mg3d &mgrille, const double *r_limits)
Standard Constructor.
Definition: map_af.C:216
Lorene::Map_log::resize
virtual void resize(int, double)
< Not implemented
Definition: map_log_pas_fait.C:102
Lorene::Map::comp_z_from_spherical
virtual void comp_z_from_spherical(const Scalar &v_r, const Scalar &v_theta, Scalar &v_z) const =0
Computes the Cartesian z component (with respect to bvect_cart ) of a vector given by its spherical c...
Lorene::Map_et::get_ff
const Valeur & get_ff() const
Returns a (constant) reference to the function .
Definition: map_et.C:1057
Lorene::Map_radial::mult_r_zec
virtual void mult_r_zec(Scalar &) const
Multiplication by r (in the compactified external domain only) of a Scalar.
Definition: map_radial_r_manip.C:299
Lorene::Map_et::sauve
virtual void sauve(FILE *) const
Save in a file.
Definition: map_et.C:802
Lorene::Map::poisson2d
virtual void poisson2d(const Cmp &source_mat, const Cmp &source_quad, Param &par, Cmp &uu) const =0
Computes the solution of a 2-D Poisson equation.
Lorene::Map_et::aasx2
Tbl aasx2
Values at the nr collocation points of in the nucleus.
Definition: map.h:2888
Lorene::Map_et::ff
Valeur ff
Values of the function at the nt*np angular collocation points in each domain.
Definition: map.h:2926
Lorene::Map_radial::stdrdp
Coord stdrdp
in the nucleus and in the non-compactified shells; \ in the compactified external domain (CED)...
Definition: map.h:1646
Lorene::Map::div_rsint
virtual void div_rsint(Scalar &) const =0
Division by of a Scalar.
Lorene::Map_af::poisson
virtual void poisson(const Cmp &source, Param &par, Cmp &uu) const
Computes the solution of a scalar Poisson equation (Cmp version).
Definition: map_af_poisson.C:235
Lorene::Map::homothetie
virtual void homothetie(double lambda)=0
Sets a new radial scale.
Lorene::Map_log::operator=
virtual void operator=(const Map_af &mpa)
Assignment to an affine mapping.
Definition: map_log.C:233
Lorene::Map_et::poisson_regular
virtual void poisson_regular(const Cmp &source, int k_div, int nzet, double unsgam1, Param &par, Cmp &uu, Cmp &uu_regu, Cmp &uu_div, Tenseur &duu_div, Cmp &source_regu, Cmp &source_div) const
Computes the solution of a scalar Poisson equation.
Definition: map_et_poisson_regu.C:88
Lorene::Map_radial::reevaluate
virtual void reevaluate(const Map *mp_prev, int nzet, Cmp &uu) const
Recomputes the values of a Cmp at the collocation points after a change in the mapping.
Definition: map_radial_reevaluate.C:64
Lorene::Map_radial::div_cost
virtual void div_cost(Scalar &) const
Division by of a Scalar.
Definition: map_radial_th_manip.C:88
Lorene::Map_log
Logarithmic radial mapping.
Definition: map.h:3779
Lorene::Map_radial::dxdr
Coord dxdr
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1630
Lorene::Map_radial::div_rsint
virtual void div_rsint(Scalar &) const
Division by of a Scalar.
Definition: map_radial_r_manip.C:437
Lorene::Map_log::sol_elliptic
void sol_elliptic(Param_elliptic &params, const Scalar &so, Scalar &uu) const
General elliptic solver.
Definition: map_log_elliptic.C:81
Lorene::Map::ori_y
double ori_y
Absolute coordinate y of the origin.
Definition: map.h:706
Lorene::Map_af::get_beta
const double * get_beta() const
Returns the pointer on the array beta.
Definition: map_af.C:611
Lorene::Map_af::poisson_frontiere
virtual void poisson_frontiere(const Cmp &, const Valeur &, int, int, Cmp &, double=0., double=0.) const
Solver of the Poisson equation with boundary condition for the affine mapping case.
Definition: cmp_pde_frontiere.C:138
Lorene::Map::ori_z
double ori_z
Absolute coordinate z of the origin.
Definition: map.h:707
Lorene::Map_et::integrale
virtual Tbl * integrale(const Scalar &) const
Computes the integral over all space of a Scalar.
Definition: map_et_integ.C:82
Lorene::Map_af::sol_elliptic_no_zec
void sol_elliptic_no_zec(Param_elliptic &params, const Scalar &so, Scalar &uu, double val) const
General elliptic solver.
Definition: map_af_elliptic.C:315
Lorene::Map_radial::mult_sint
virtual void mult_sint(Scalar &) const
Multiplication by of a Scalar.
Definition: map_radial_th_manip.C:112
Lorene::Map_et::laplacien
virtual void laplacien(const Scalar &uu, int zec_mult_r, Scalar &lap) const
Computes the Laplacian of a scalar field.
Definition: map_et_lap.C:78
Lorene::Map_log::alpha
Tbl alpha
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:3785
Lorene::Map_et::resize
virtual void resize(int l, double lambda)
Rescales the outer boundary of one domain.
Definition: map_et.C:951
Lorene::Map_et::rsx2drdx
Coord rsx2drdx
in the nucleus and the shells; \ in the outermost compactified domain.
Definition: map.h:2948
Lorene::Param
Parameter storage.
Definition: param.h:125
Lorene::Map::srstdsdp
virtual void srstdsdp(const Cmp &ci, Cmp &resu) const =0
Computes of a Cmp .
Lorene::Map_radial
Base class for pure radial mappings.
Definition: map.h:1606
Lorene::Map_et::dsdr
virtual void dsdr(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_et_deriv.C:190
Lorene::Map::poisson_regular
virtual void poisson_regular(const Cmp &source, int k_div, int nzet, double unsgam1, Param &par, Cmp &uu, Cmp &uu_regu, Cmp &uu_div, Tenseur &duu_div, Cmp &source_regu, Cmp &source_div) const =0
Computes the solution of a scalar Poisson equation.
Lorene::Map_af::beta
double * beta
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:2105
Lorene::Map::sinp
Coord sinp
Definition: map.h:750
Lorene::Map_et::aa
Tbl ** aa
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2872
Lorene::Map_et::set_alpha
void set_alpha(double alpha0, int l)
Modifies the value of in domain no. l.
Definition: map_et.C:447
Lorene::Map_radial::val_r_jk
virtual double val_r_jk(int l, double xi, int j, int k) const =0
Returns the value of the radial coordinate r for a given and a given collocation point in in a give...
Lorene::Map_log::adapt
virtual void adapt(const Cmp &, const Param &, int)
< Not implemented
Definition: map_log_pas_fait.C:106
Lorene::Map_et::homothetie
virtual void homothetie(double lambda)
Sets a new radial scale.
Definition: map_et.C:928
Lorene::Map_radial::reevaluate_symy
virtual void reevaluate_symy(const Map *mp_prev, int nzet, Cmp &uu) const
Recomputes the values of a Cmp at the collocation points after a change in the mapping.
Definition: map_radial_reeval_symy.C:65
Lorene::Map_radial::sstd2rdpdx
Coord sstd2rdpdx
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1718
Lorene::Map_radial::sauve
virtual void sauve(FILE *) const
Save in a file.
Definition: map_radial.C:119
Lorene::Map_af::set_alpha
void set_alpha(double alpha0, int l)
Modifies the value of in domain no. l.
Definition: map_af.C:760
Lorene::Map_af::val_lx
virtual void val_lx(double rr, double theta, double pphi, int &l, double &xi) const
Computes the domain index l and the value of corresponding to a point given by its physical coordina...
Definition: map_af_radius.C:131
Lorene::Map_log::poisson_interne
virtual void poisson_interne(const Cmp &, const Valeur &, Param &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:206
Lorene::Map::mult_cost
virtual void mult_cost(Scalar &) const =0
Multiplication by of a Scalar.
Lorene::Map_radial::xsr
Coord xsr
in the nucleus; \ 1/R in the non-compactified shells; \ in the compactified outer domain...
Definition: map.h:1619
Lorene::Map::p_flat_met_cart
Metric_flat * p_flat_met_cart
Pointer onto the flat metric associated with the Cartesian coordinates and with components expressed ...
Definition: map.h:734
Lorene::Map_et::poisson_interne
virtual void poisson_interne(const Cmp &source, const Valeur &limite, Param &par, Cmp &pot) const
Computes the solution of a Poisson equation in the shell .
Definition: cmp_pde_frontiere.C:277
Lorene::Map::donne_para_poisson_vect
virtual Param * donne_para_poisson_vect(Param &para, int i) const =0
Function intended to be used by Map::poisson_vect and Map::poisson_vect_oohara .
Lorene::Map_af::poisson2d
virtual void poisson2d(const Cmp &source_mat, const Cmp &source_quad, Param &par, Cmp &uu) const
Computes the solution of a 2-D Poisson equation.
Definition: map_af_poisson2d.C:84
Lorene::Param_elliptic
This class contains the parameters needed to call the general elliptic solver.
Definition: param_elliptic.h:135
Lorene::Map::reset_coord
virtual void reset_coord()
Resets all the member Coords.
Definition: map.C:282
Lorene::Map_radial::drdt
Coord drdt
in the nucleus and in the non-compactified shells; \ in the compactified external domain (CED)...
Definition: map.h:1638
Lorene::Map_log::dsdr
virtual void dsdr(const Scalar &ci, Scalar &resu) const
Computes of a Scalar.
Definition: map_log_deriv.C:111
Lorene::Map_radial::poisson_compact
virtual void poisson_compact(const Cmp &source, const Cmp &aa, const Tenseur &bb, const Param &par, Cmp &psi) const
Resolution of the elliptic equation in the case where the stellar interior is covered by a single do...
Definition: map_radial_poisson_cpt.C:158
Lorene::Map_af::val_lx_jk
virtual void val_lx_jk(double rr, int j, int k, const Param &par, int &l, double &xi) const
Computes the domain index l and the value of corresponding to a point of arbitrary r but collocation...
Definition: map_af_radius.C:218
Lorene::Map_af::lapang
virtual void lapang(const Scalar &uu, Scalar &lap) const
Computes the angular Laplacian of a scalar field.
Definition: map_af_lap.C:552
Lorene::Map::resize
virtual void resize(int l, double lambda)=0
Rescales the outer boundary of one domain.
Lorene::Map_log::poisson2d
virtual void poisson2d(const Cmp &, const Cmp &, Param &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:210
Lorene::Coord
Active physical coordinates and mapping derivatives.
Definition: coord.h:90
Lorene::Map_log::Map_log
Map_log(const Mg3d &mgrille, const Tbl &r_limits, const Itbl &typevar)
Standard Constructor.
Definition: map_log.C:70
Lorene::Map_log::sol_elliptic_no_zec
void sol_elliptic_no_zec(Param_elliptic &params, const Scalar &so, Scalar &uu, double) const
General elliptic solver.
Definition: map_log_elliptic.C:281
Lorene::Map_radial::val_lx_jk
virtual void val_lx_jk(double rr, int j, int k, const Param &par, int &l, double &xi) const =0
Computes the domain index l and the value of corresponding to a point of arbitrary r but collocation...
Lorene::Base_vect_cart
Cartesian vectorial bases (triads).
Definition: base_vect.h:201
Lorene::Map_et::dsdradial
virtual void dsdradial(const Scalar &uu, Scalar &resu) const
Computes of a Scalar if the description is affine and if it is logarithmic.
Definition: map_et_deriv.C:277
Lorene::Map_af::sol_elliptic
void sol_elliptic(Param_elliptic &params, const Scalar &so, Scalar &uu) const
General elliptic solver.
Definition: map_af_elliptic.C:103
Lorene::Map_log::primr
virtual void primr(const Scalar &, Scalar &, bool) const
< Not implemented
Definition: map_log_pas_fait.C:224
Lorene::Base_vect_spher
Spherical orthonormal vectorial bases (triads).
Definition: base_vect.h:308
Lorene::Map_log::poisson_regular
virtual void poisson_regular(const Cmp &, int, int, double, Param &, Cmp &, Cmp &, Cmp &, Tenseur &, Cmp &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:180
Lorene::Map_et::rsxdxdr
Coord rsxdxdr
in the nucleus; \ in the shells; \ in the outermost compactified domain.
Definition: map.h:2941
Lorene::Map_et::reset_coord
virtual void reset_coord()
Resets all the member Coords.
Definition: map_et.C:651
Lorene::Map_radial::mult_r
virtual void mult_r(Scalar &uu) const
Multiplication by r of a Scalar, the dzpuis of uu is not changed.
Definition: map_radial_r_manip.C:147
Lorene::Map_af::poisson_tau
virtual void poisson_tau(const Cmp &source, Param &par, Cmp &uu) const
Computes the solution of a scalar Poisson equation using a Tau method (Cmp version).
Definition: map_af_poisson.C:300
Lorene::Map_log::map_log_fait_r
friend Mtbl * map_log_fait_r(const Map *)
< Not implemented
Definition: map_log_fait.C:60
Lorene::Map::mult_r
virtual void mult_r(Scalar &uu) const =0
Multiplication by r of a Scalar , the dzpuis of uu is not changed.
Lorene::Map::inc2_dzpuis
virtual void inc2_dzpuis(Scalar &) const =0
Increases by 2 the value of dzpuis of a Scalar and changes accordingly its values in the compactifi...
Lorene::Map_log::poisson_ylm
virtual void poisson_ylm(const Cmp &, Param &, Cmp &, int, double *) const
< Not implemented
Definition: map_log_pas_fait.C:232
Lorene::Map_log::lapang
virtual void lapang(const Scalar &, Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:150
Lorene::Map::ya
Coord ya
Absolute y coordinate.
Definition: map.h:758
Lorene::Map_et::poisson_angu
virtual void poisson_angu(const Scalar &source, Param &par, Scalar &uu, double lambda=0) const
Computes the solution of the generalized angular Poisson equation.
Definition: map_et_poisson.C:1101
Lorene::Map_log::poisson_falloff
virtual void poisson_falloff(const Cmp &, Param &, Cmp &, int) const
< Not implemented
Definition: map_log_pas_fait.C:228
Lorene::Map::mg
const Mg3d * mg
Pointer on the multi-grid Mgd3 on which this is defined.
Definition: map.h:703
Lorene::Mg3d
Multi-domain grid.
Definition: grilles.h:276
Lorene::Map::poisson_frontiere
virtual void poisson_frontiere(const Cmp &source, const Valeur &limite, int raccord, int num_front, Cmp &pot, double=0., double=0.) const =0
Computes the solution of a Poisson equation from the domain num_front+1 .
Lorene::Map_et::adapt
virtual void adapt(const Cmp &ent, const Param &par, int nbr_filtre=0)
Adaptation of the mapping to a given scalar field.
Definition: map_et_adapt.C:111
Lorene::Map_et::dalembert
virtual void dalembert(Param &par, Scalar &fJp1, const Scalar &fJ, const Scalar &fJm1, const Scalar &source) const
Not yet implemented.
Definition: map_et_dalembert.C:72
Lorene::Map::ori_x
double ori_x
Absolute coordinate x of the origin.
Definition: map.h:705
Lorene::Map_af
Affine radial mapping.
Definition: map.h:2097
Lorene::Map_et::zaasx2
Tbl zaasx2
Values at the nr collocation points of in the outermost compactified domain.
Definition: map.h:2898
Lorene::Map_log::dalembert
virtual void dalembert(Param &, Scalar &, const Scalar &, const Scalar &, const Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:214
Lorene::Map::reevaluate_symy
virtual void reevaluate_symy(const Map *mp_prev, int nzet, Cmp &uu) const =0
Recomputes the values of a Cmp at the collocation points after a change in the mapping.
Lorene::Map_af::sol_elliptic_fixe_der_zero
void sol_elliptic_fixe_der_zero(double val, Param_elliptic &params, const Scalar &so, Scalar &uu) const
General elliptic solver fixing the derivative at the origin and relaxing the continuity of the first ...
Definition: map_af_elliptic.C:486
Lorene::Map::integrale
virtual Tbl * integrale(const Scalar &) const =0
Computes the integral over all space of a Scalar .
Lorene::Map::get_bvect_cart
const Base_vect_cart & get_bvect_cart() const
Returns the Cartesian basis associated with the coordinates (x,y,z) of the mapping, i.e.
Definition: map.h:818
Lorene::Map_af::poisson_angu
virtual void poisson_angu(const Scalar &source, Param &par, Scalar &uu, double lambda=0) const
Computes the solution of the generalized angular Poisson equation.
Definition: map_af_poisson_angu.C:64
Lorene::Map_radial::div_r_zec
virtual void div_r_zec(Scalar &) const
Division by r (in the compactified external domain only) of a Scalar.
Definition: map_radial_r_manip.C:588
Lorene::Map_radial::Map_radial
Map_radial(const Mg3d &mgrid)
Constructor from a grid (protected to make Map_radial an abstract class)
Definition: map_radial.C:92
Lorene::Map_et::gg
Valeur gg
Values of the function at the nt*np angular collocation points in each domain.
Definition: map.h:2933
Lorene::Map::y
Coord y
y coordinate centered on the grid
Definition: map.h:754
Lorene::Map_log::dsdradial
virtual void dsdradial(const Scalar &uu, Scalar &resu) const
Computes of a Scalar if the description is affine and if it is logarithmic.
Definition: map_log_deriv.C:165
Lorene::Map_radial::inc2_dzpuis
virtual void inc2_dzpuis(Scalar &) const
Increases by 2 the value of dzpuis of a Scalar and changes accordingly its values in the compactifi...
Definition: map_radial_r_manip.C:802
Lorene::Map_radial::comp_x_from_spherical
virtual void comp_x_from_spherical(const Scalar &v_r, const Scalar &v_theta, const Scalar &v_phi, Scalar &v_x) const
Computes the Cartesian x component (with respect to bvect_cart) of a vector given by its spherical co...
Definition: map_radial_comp_xyz.C:79
Lorene::Map_radial::operator=
virtual void operator=(const Map_af &)=0
Assignment to an affine mapping.
Lorene::Map_log::homothetie
virtual void homothetie(double)
Sets a new radial scale.
Definition: map_log_pas_fait.C:98
Lorene::Map::comp_r_from_cartesian
virtual void comp_r_from_cartesian(const Scalar &v_x, const Scalar &v_y, const Scalar &v_z, Scalar &v_r) const =0
Computes the Spherical r component (with respect to bvect_spher ) of a vector given by its cartesian ...
Lorene::Map::div_sint
virtual void div_sint(Scalar &) const =0
Division by of a Scalar.
Lorene::Map::za
Coord za
Absolute z coordinate.
Definition: map.h:759
Lorene::Map_radial::lapr_tp
Coord lapr_tp
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1701
Lorene::Map_et::mp_angu
virtual const Map_af & mp_angu(int) const
Returns the "angular" mapping for the outside of domain l_zone.
Definition: map_et.C:1068
Lorene::Map_et::~Map_et
virtual ~Map_et()
Destructor.
Definition: map_et.C:509
Lorene::Map_log::get_beta
double get_beta(int l) const
Returns in the domain l.
Definition: map.h:3835
Lorene::Map::reevaluate
virtual void reevaluate(const Map *mp_prev, int nzet, Cmp &uu) const =0
Recomputes the values of a Cmp at the collocation points after a change in the mapping.
Lorene::Map::cosp
Coord cosp
Definition: map.h:751
Lorene::Map::poisson
virtual void poisson(const Cmp &source, Param &par, Cmp &uu) const =0
Computes the solution of a scalar Poisson equation (Cmp version).
Lorene::Map_et::beta
double * beta
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:2867
Lorene::Mtbl_cf
Coefficients storage for the multi-domain spectral method.
Definition: mtbl_cf.h:196
Lorene::Map_et::resize_extr
void resize_extr(double lambda)
Rescales the outer boundary of the outermost domain in the case of non-compactified external domain...
Definition: map_et_resize_extr.C:58
Lorene::Map_log::poisson_angu
virtual void poisson_angu(const Scalar &, Param &, Scalar &, double=0) const
< Not implemented
Definition: map_log_pas_fait.C:185
Lorene::Map_log::dsdxi
virtual void dsdxi(const Scalar &ci, Scalar &resu) const
Computes of a Scalar.
Definition: map_log_deriv.C:57
Lorene::Map_et::operator=
virtual void operator=(const Map_et &mp)
Assignment to another Map_et.
Definition: map_et.C:536
Lorene::Map_af::poisson_interne
virtual void poisson_interne(const Cmp &source, const Valeur &limite, Param &par, Cmp &pot) const
Computes the solution of a Poisson equation in the shell, imposing a boundary condition at the surfac...
Definition: cmp_pde_frontiere.C:477
Lorene::Map::x
Coord x
x coordinate centered on the grid
Definition: map.h:753
Lorene::Map::bvect_spher
Base_vect_spher bvect_spher
Orthonormal vectorial basis associated with the coordinates of the mapping.
Definition: map.h:716
Lorene::Map_af::interpolate_from_map_star
Scalar interpolate_from_map_star(const Scalar &f_s) const
Interpolates from a Scalar defined on a Map_star and returns the new Scalar defined on *this...
Definition: map_interp_af_and_star.C:180
Lorene::Map_radial::div_sint
virtual void div_sint(Scalar &) const
Division by of a Scalar.
Definition: map_radial_th_manip.C:136
Lorene::Map_et::Map_et
Map_et(const Mg3d &mgrille, const double *r_limits)
Standard Constructor.
Definition: map_et.C:155
Lorene::Map::get_ori_z
double get_ori_z() const
Returns the z coordinate of the origin.
Definition: map.h:799
Lorene::Map_log::poisson
virtual void poisson(const Cmp &, Param &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:164
Lorene::Map_log::val_lx_jk
virtual void val_lx_jk(double rr, int j, int k, const Param &par, int &l, double &xi) const
Computes the domain index l and the value of corresponding to a point of arbitrary r but collocation...
Definition: map_log_radius.C:230
Lorene::Map_et::srdsdt
virtual void srdsdt(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_et_deriv.C:340
Lorene::Map_radial::reset_coord
virtual void reset_coord()
Resets all the member Coords.
Definition: map_radial.C:129
Lorene::Map::mult_r_zec
virtual void mult_r_zec(Scalar &) const =0
Multiplication by r (in the compactified external domain only) of a Scalar.
Lorene::Map_af::sol_elliptic_pseudo_1d
void sol_elliptic_pseudo_1d(Param_elliptic &, const Scalar &, Scalar &) const
General elliptic solver in a pseudo 1d case.
Definition: map_af_elliptic_pseudo_1d.C:62
Lorene::Map_af::sol_elliptic_boundary
void sol_elliptic_boundary(Param_elliptic &params, const Scalar &so, Scalar &uu, const Mtbl_cf &bound, double fact_dir, double fact_neu) const
General elliptic solver including inner boundary conditions.
Definition: map_af_elliptic.C:162
Lorene::Map_et::set_ff
void set_ff(const Valeur &)
Assigns a given value to the function .
Definition: map_et.C:585
Lorene::Tbl
Basic array class.
Definition: tbl.h:164
Lorene::Map_radial::mult_rsint
virtual void mult_rsint(Scalar &) const
Multiplication by of a Scalar.
Definition: map_radial_r_manip.C:358
Lorene::Map_et::set_coord
void set_coord()
Assignement of the building functions to the member Coords.
Definition: map_et.C:607
Lorene::Map_af::homothetie_interne
void homothetie_interne(double lambda)
Sets a new radial scale at the bondary between the nucleus and the first shell.
Definition: map_af.C:744
Lorene::Map_af::laplacien
virtual void laplacien(const Scalar &uu, int zec_mult_r, Scalar &lap) const
Computes the Laplacian of a scalar field.
Definition: map_af_lap.C:182
Lorene::Map_et::operator==
virtual bool operator==(const Map &) const
Comparison operator (egality)
Definition: map_et.C:1007
Lorene::Map_log::poisson_frontiere
virtual void poisson_frontiere(const Cmp &, const Valeur &, int, int, Cmp &, double=0., double=0.) const
< Not implemented
Definition: map_log_pas_fait.C:198
Lorene::Map::dsdradial
virtual void dsdradial(const Scalar &uu, Scalar &resu) const =0
Computes of a Scalar if the description is affine and if it is logarithmic.
Lorene::Map_log::poisson_tau
virtual void poisson_tau(const Cmp &, Param &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:168
Lorene::Map_log::srdsdt
virtual void srdsdt(const Cmp &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:118
Lorene::Map_et::bbsx2
Tbl bbsx2
Values at the nr collocation points of in the nucleus.
Definition: map.h:2919
Lorene::Map::Map
Map(const Mg3d &)
Constructor from a multi-domain 3D grid.
Definition: map.C:145
Lorene::Map_et::set_beta
void set_beta(double beta0, int l)
Modifies the value of in domain no. l.
Definition: map_et.C:458
Lorene::Map_log::sol_elliptic_boundary
void sol_elliptic_boundary(Param_elliptic &params, const Scalar &so, Scalar &uu, const Mtbl_cf &bound, double fact_dir, double fact_neu) const
General elliptic solver including inner boundary conditions.
Definition: map_log_elliptic.C:138
Lorene::Map_et::operator>>
virtual ostream & operator>>(ostream &) const
Operator >>
Definition: map_et.C:821
Lorene::Map::dec_dzpuis
virtual void dec_dzpuis(Scalar &) const =0
Decreases by 1 the value of dzpuis of a Scalar and changes accordingly its values in the compactifi...
Lorene::Map::convert_absolute
void convert_absolute(double xx, double yy, double zz, double &rr, double &theta, double &pphi) const
Determines the coordinates corresponding to given absolute Cartesian coordinates (X...
Definition: map.C:308
Lorene::Map::div_cost
virtual void div_cost(Scalar &) const =0
Division by of a Scalar.
Lorene::Map_radial::srdrdt
Coord srdrdt
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1654
Lorene::Map_log::poisson_frontiere_double
virtual void poisson_frontiere_double(const Cmp &, const Valeur &, const Valeur &, int, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:202
Lorene::Map_log::~Map_log
virtual ~Map_log()
Destructor.
Definition: map_log.C:163
Lorene::Map_af::adapt
virtual void adapt(const Cmp &ent, const Param &par, int nbr=0)
Adaptation of the mapping to a given scalar field.
Definition: map_af.C:803
Lorene::Map::~Map
virtual ~Map()
Destructor.
Definition: map.C:219
Lorene::Map_log::sauve
virtual void sauve(FILE *) const
Save in a file.
Definition: map_log.C:166
Lorene::Map_af::resize
virtual void resize(int l, double lambda)
Rescales the outer boundary of one domain.
Definition: map_af.C:690
Lorene::Map::z
Coord z
z coordinate centered on the grid
Definition: map.h:755
Lorene::Map::div_r
virtual void div_r(Scalar &) const =0
Division by r of a Scalar.
Lorene::Map::rot_phi
double rot_phi
Angle between the x –axis and X –axis.
Definition: map.h:708
Lorene::Map_et::lapang
virtual void lapang(const Scalar &uu, Scalar &lap) const
Computes the angular Laplacian of a scalar field.
Definition: map_et_lap.C:286
Lorene::Map_af::sol_elliptic_sin_zec
void sol_elliptic_sin_zec(Param_elliptic &params, const Scalar &so, Scalar &uu, double *coefs, double *) const
General elliptic solver.
Definition: map_af_elliptic.C:429
Lorene::Map_et::dbb
Tbl ** dbb
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2908
Lorene::Map_radial::comp_p_from_cartesian
virtual void comp_p_from_cartesian(const Scalar &v_x, const Scalar &v_y, Scalar &v_p) const
Computes the Spherical component (with respect to bvect_spher ) of a vector given by its cartesian c...
Definition: map_radial_comp_rtp.C:186
Lorene::Map::poisson_angu
virtual void poisson_angu(const Scalar &source, Param &par, Scalar &uu, double lambda=0) const =0
Computes the solution of the generalized angular Poisson equation.
Lorene::Map::flat_met_spher
const Metric_flat & flat_met_spher() const
Returns the flat metric associated with the spherical coordinates and with components expressed in th...
Definition: map.C:327
Lorene::Map_af::dsdr
virtual void dsdr(const Cmp &ci, Cmp &resu) const
Computes of a Cmp.
Definition: map_af_deriv.C:282
Lorene::Map_et::aasx
Tbl aasx
Values at the nr collocation points of in the nucleus.
Definition: map.h:2885
Lorene::Map_af::dsdt
virtual void dsdt(const Scalar &uu, Scalar &resu) const
Computes of a Scalar.
Definition: map_af_deriv.C:800
Lorene::Map_log::val_r_jk
virtual double val_r_jk(int l, double xi, int j, int k) const
< Comparison operator
Definition: map_log_radius.C:220
Lorene::Tenseur
Tensor handling *** DEPRECATED : use class Tensor instead ***.
Definition: tenseur.h:304
Lorene::Map::comp_y_from_spherical
virtual void comp_y_from_spherical(const Scalar &v_r, const Scalar &v_theta, const Scalar &v_phi, Scalar &v_y) const =0
Computes the Cartesian y component (with respect to bvect_cart ) of a vector given by its spherical c...
Lorene::Map::bvect_cart
Base_vect_cart bvect_cart
Cartesian basis associated with the coordinates (x,y,z) of the mapping, i.e.
Definition: map.h:724
Lorene::Map_radial::~Map_radial
virtual ~Map_radial()
Destructor.
Definition: map_radial.C:113
Lorene::Map::laplacien
virtual void laplacien(const Scalar &uu, int zec_mult_r, Scalar &lap) const =0
Computes the Laplacian of a scalar field.
Lorene::Map_et::ddaa
Tbl ** ddaa
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2882
Lorene::Map_af::donne_para_poisson_vect
virtual Param * donne_para_poisson_vect(Param &par, int i) const
Internal function intended to be used by Map::poisson_vect and Map::poisson_vect_oohara ...
Definition: map_poisson_vect.C:73
Lorene::Map::r
Coord r
r coordinate centered on the grid
Definition: map.h:745
Lorene::Map_radial::d2rdtdx
Coord d2rdtdx
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1710
Lorene::Map::lapang
virtual void lapang(const Scalar &uu, Scalar &lap) const =0
Computes the angular Laplacian of a scalar field.
Lorene::Map::operator<<
friend ostream & operator<<(ostream &, const Map &)
Operator <<.
Definition: map.C:245
Lorene::Map::val_lx
virtual void val_lx(double rr, double theta, double pphi, int &l, double &xi) const =0
Computes the domain index l and the value of corresponding to a point given by its physical coordina...
Lorene::Map_et::poisson_tau
virtual void poisson_tau(const Cmp &source, Param &par, Cmp &uu) const
Computes the solution of a scalar Poisson equation with a Tau method (Cmp version).
Definition: map_et_poisson.C:859
Lorene::Map::stdsdp
virtual void stdsdp(const Scalar &uu, Scalar &resu) const =0
Computes of a Scalar .
Lorene::Map_et::val_r_jk
virtual double val_r_jk(int l, double xi, int j, int k) const
Returns the value of the radial coordinate r for a given and a given collocation point in in a give...
Definition: map_et_radius.C:370
Lorene::Map_radial::operator==
virtual bool operator==(const Map &) const =0
Comparison operator (egality)
Lorene::Map_log::mp_angu
virtual const Map_af & mp_angu(int) const
Returns the "angular" mapping for the outside of domain l_zone.
Definition: map_log_pas_fait.C:218
Lorene::Map::cost
Coord cost
Definition: map.h:749