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 1.65 2024/07/03 13:51:02 j_novak Exp $
41  * $Log: map.h,v $
42  * Revision 1.65 2024/07/03 13:51:02 j_novak
43  * Added methods to interpolate a Scalar between Map_af and Map_star efficiently.
44  *
45  * Revision 1.64 2024/06/25 13:56:24 j_novak
46  * Split map.h into map.h and map_star.h.
47  *
48  * Revision 1.63 2023/05/24 09:58:44 g_servignat
49  * Added Map_eps, an ellipsoidal radial mapping
50  *
51  * Revision 1.62 2022/06/20 14:21:55 g_servignat
52  * Implemented shells in Map_star
53  *
54  * Revision 1.61 2022/05/30 12:39:53 g_servignat
55  * New Map_star class for general adaptive domain to star boundaries
56  *
57  * Revision 1.60 2018/12/05 15:43:45 j_novak
58  * New Map_af constructor from a formatted file.
59  *
60  * Revision 1.59 2014/10/13 08:52:35 j_novak
61  * Lorene classes and functions now belong to the namespace Lorene.
62  *
63  * Revision 1.58 2014/10/06 15:09:40 j_novak
64  * Modified #include directives to use c++ syntax.
65  *
66  * Revision 1.57 2014/01/14 13:24:02 b_peres
67  * *** empty log message ***
68  *
69  * Revision 1.56 2012/01/24 14:58:54 j_novak
70  * Removed functions XXX_fait_xi()
71  *
72  * Revision 1.55 2012/01/17 15:34:20 j_penner
73  * *** empty log message ***
74  *
75  * Revision 1.54 2012/01/17 10:20:07 j_penner
76  * added a member cxi that allows for direct access to the computational coordinates in each domain
77  *
78  * Revision 1.53 2008/09/29 13:23:51 j_novak
79  * Implementation of the angular mapping associated with an affine
80  * mapping. Things must be improved to take into account the domain index.
81  *
82  * Revision 1.52 2007/10/16 21:52:10 e_gourgoulhon
83  * Added method poisson_compact for multi-domains.
84  *
85  * Revision 1.51 2007/05/15 12:44:18 p_grandclement
86  * Scalar version of reevaluate
87  *
88  * Revision 1.50 2007/05/06 10:48:08 p_grandclement
89  * Modification of a few operators for the vorton project
90  *
91  * Revision 1.49 2007/01/16 15:05:59 n_vasset
92  * New constructor (taking a Scalar in mono-domain angular grid for
93  * boundary) for function sol_elliptic_boundary
94  *
95  * Revision 1.48 2006/08/31 12:10:51 j_novak
96  * More comments for Map_af::avance_dalembert().
97  *
98  * Revision 1.47 2006/05/26 09:00:09 j_novak
99  * New members for multiplication or division by cos(theta).
100  *
101  * Revision 1.46 2006/04/25 07:21:54 p_grandclement
102  * Various changes for the NS_BH project
103  *
104  * Revision 1.45 2005/11/30 11:09:03 p_grandclement
105  * Changes for the Bin_ns_bh project
106  *
107  * Revision 1.44 2005/11/24 09:25:06 j_novak
108  * Added the Scalar version for the Laplacian
109  *
110  * Revision 1.43 2005/09/15 15:51:25 j_novak
111  * The "rotation" (change of triad) methods take now Scalars as default
112  * arguments.
113  *
114  * Revision 1.42 2005/08/26 14:02:38 p_grandclement
115  * Modification of the elliptic solver that matches with an oscillatory exterior solution
116  * small correction in Poisson tau also...
117  *
118  * Revision 1.41 2005/08/25 12:14:07 p_grandclement
119  * Addition of a new method to solve the scalar Poisson equation, based on a multi-domain Tau-method
120  *
121  * Revision 1.40 2005/06/09 07:56:24 f_limousin
122  * Implement a new function sol_elliptic_boundary() and
123  * Vector::poisson_boundary(...) which solve the vectorial poisson
124  * equation (method 6) with an inner boundary condition.
125  *
126  * Revision 1.39 2005/04/04 21:30:41 e_gourgoulhon
127  * Added argument lambda to method poisson_angu
128  * to treat the generalized angular Poisson equation:
129  * Lap_ang u + lambda u = source.
130  *
131  * Revision 1.38 2004/12/29 16:37:22 k_taniguchi
132  * Addition of some functions with the multipole falloff condition.
133  *
134  * Revision 1.37 2004/12/02 09:33:04 p_grandclement
135  * *** empty log message ***
136  *
137  * Revision 1.36 2004/11/30 20:42:05 k_taniguchi
138  * Addition of some functions with the falloff condition and a method
139  * to resize the external shell.
140  *
141  * Revision 1.35 2004/11/23 12:39:12 f_limousin
142  * Intoduce function poisson_dir_neu(...) to solve a scalar poisson
143  * equation with a mixed boundary condition (Dirichlet + Neumann).
144  *
145  * Revision 1.34 2004/10/11 15:08:59 j_novak
146  * The radial manipulation functions take Scalar as arguments, instead of Cmp.
147  * Added a conversion operator from Scalar to Cmp.
148  * The Cmp radial manipulation function make conversion to Scalar, call to the
149  * Map_radial version with a Scalar argument and back.
150  *
151  * Revision 1.33 2004/10/08 13:34:35 j_novak
152  * Scalar::div_r() does not need to pass through Cmp version anymore.
153  *
154  * Revision 1.32 2004/08/24 09:14:40 p_grandclement
155  * Addition of some new operators, like Poisson in 2d... It now requieres the
156  * GSL library to work.
157  *
158  * Also, the way a variable change is stored by a Param_elliptic is changed and
159  * no longer uses Change_var but rather 2 Scalars. The codes using that feature
160  * will requiere some modification. (It should concern only the ones about monopoles)
161  *
162  * Revision 1.31 2004/07/27 08:24:26 j_novak
163  * Modif. comments
164  *
165  * Revision 1.30 2004/07/26 16:02:21 j_novak
166  * Added a flag to specify whether the primitive should be zero either at r=0
167  * or at r going to infinity.
168  *
169  * Revision 1.29 2004/06/22 08:49:57 p_grandclement
170  * Addition of everything needed for using the logarithmic mapping
171  *
172  * Revision 1.28 2004/06/14 15:23:53 e_gourgoulhon
173  * Added virtual function primr for computation of radial primitives.
174  *
175  * Revision 1.27 2004/03/31 11:22:23 f_limousin
176  * Methods Map_et::poisson_interne and Map_af::poisson_interne have been
177  * implemented to solve the continuity equation for strange stars.
178  *
179  * Revision 1.26 2004/03/22 13:12:41 j_novak
180  * Modification of comments to use doxygen instead of doc++
181  *
182  * Revision 1.24 2004/03/01 09:57:02 j_novak
183  * the wave equation is solved with Scalars. It now accepts a grid with a
184  * compactified external domain, which the solver ignores and where it copies
185  * the values of the field from one time-step to the next.
186  *
187  * Revision 1.23 2004/02/11 09:47:44 p_grandclement
188  * Addition of a new elliptic solver, matching with the homogeneous solution
189  * at the outer shell and not solving in the external domain (more details
190  * coming soon ; check your local Lorene dealer...)
191  *
192  * Revision 1.22 2004/01/29 08:50:01 p_grandclement
193  * Modification of Map::operator==(const Map&) and addition of the surface
194  * integrales using Scalar.
195  *
196  * Revision 1.21 2004/01/28 16:46:22 p_grandclement
197  * Addition of the sol_elliptic_fixe_der_zero stuff
198  *
199  * Revision 1.20 2004/01/28 10:35:52 j_novak
200  * Added new methods mult_r() for Scalars. These do not change the dzpuis flag.
201  *
202  * Revision 1.19 2004/01/27 09:33:46 j_novak
203  * New method Map_radial::div_r_zec
204  *
205  * Revision 1.18 2004/01/26 16:16:15 j_novak
206  * Methods of gradient for Scalar s. The input can have any dzpuis.
207  *
208  * Revision 1.17 2004/01/19 21:38:21 e_gourgoulhon
209  * Corrected sign error in comments of Map_radial::dxdr.
210  *
211  * Revision 1.16 2003/12/30 22:52:47 e_gourgoulhon
212  * Class Map: added methods flat_met_spher() and flat_met_cart() to get
213  * flat metric associated with the coordinates described by the mapping.
214  *
215  * Revision 1.15 2003/12/11 14:48:47 p_grandclement
216  * Addition of ALL (and that is a lot !) the files needed for the general elliptic solver ... UNDER DEVELOPEMENT...
217  *
218  * Revision 1.14 2003/11/06 14:43:37 e_gourgoulhon
219  * Gave a name to const arguments in certain method prototypes (e.g.
220  * constructors) to correct a bug of DOC++.
221  *
222  * Revision 1.13 2003/11/04 22:54:49 e_gourgoulhon
223  * Added new virtual methods mult_cost, mult_sint and div_sint.
224  *
225  * Revision 1.12 2003/10/16 08:49:21 j_novak
226  * Added a flag to decide wether the output is in the Ylm or in the standard base.
227  *
228  * Revision 1.11 2003/10/15 21:08:22 e_gourgoulhon
229  * Added method poisson_angu.
230  *
231  * Revision 1.10 2003/10/15 16:03:35 j_novak
232  * Added the angular Laplace operator for Scalar.
233  *
234  * Revision 1.9 2003/10/15 10:27:33 e_gourgoulhon
235  * Classes Map, Map_af and Map_et: added new methods dsdt, stdsdp and div_tant.
236  * Class Map_radial: added new Coord's : drdt and stdrdp.
237  *
238  * Revision 1.8 2003/06/20 14:14:53 f_limousin
239  * Add the operator== to compare two Cmp.
240  *
241  * Revision 1.7 2003/06/20 09:27:09 j_novak
242  * Modif commentaires.
243  *
244  * Revision 1.6 2002/10/16 14:36:29 j_novak
245  * Reorganization of #include instructions of standard C++, in order to
246  * use experimental version 3 of gcc.
247  *
248  * Revision 1.5 2002/09/13 09:17:33 j_novak
249  * Modif. commentaires
250  *
251  * Revision 1.4 2002/06/17 14:05:16 j_novak
252  * friend functions are now also declared outside the class definition
253  *
254  * Revision 1.3 2002/05/07 07:06:37 e_gourgoulhon
255  * Compatibily with xlC compiler on IBM SP2:
256  * added declaration of functions map_af_fait_* and map_et_fait_*
257  * outside the classes declarations.
258  *
259  * Revision 1.2 2002/01/15 15:53:06 p_grandclement
260  * I have had a constructor fot map_et using the equation of the surface
261  * of the star.
262  *
263  * Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
264  * LORENE
265  *
266  * Revision 2.110 2001/10/29 15:31:55 novak
267  * Ajout de Map_radial::div_r
268  *
269  * Revision 2.109 2001/10/16 10:02:49 novak
270  * *** empty log message ***
271  *
272  * Revision 2.108 2001/07/19 14:01:00 novak
273  * new arguments for Map_af::dalembert
274  *
275  * Revision 2.107 2001/02/26 17:28:31 eric
276  * Ajout de la fonction virtuelle resize.
277  *
278  * Revision 2.106 2001/01/10 11:03:00 phil
279  * ajout de homothetie interne
280  *
281  * Revision 2.105 2001/01/02 10:51:55 phil
282  * ajout integrale de surface a l'infini
283  *
284  * Revision 2.104 2000/10/23 13:59:48 eric
285  * Map_et::adapt: changement des arguments (en autre, ajout de nz_search).
286  *
287  * Revision 2.103 2000/10/20 09:39:19 phil
288  * changement commentaires
289  *
290  * Revision 2.102 2000/10/19 14:33:23 novak
291  * corrige oubli pour Map_et?
292  *
293  * Revision 2.101 2000/10/19 14:11:20 novak
294  * Ajout des fonctions membres Map::dalembert et Map_af::dalembert
295  * (etat experimental)
296  *
297  * Revision 2.100 2000/10/09 13:46:39 eric
298  * Ajout de la fonction virtuelle poisson2d.
299  *
300  * Revision 2.99 2000/09/19 15:28:55 phil
301  * *** empty log message ***
302  *
303  * Revision 2.98 2000/09/19 15:24:19 phil
304  * ajout du passage de cartesienne en spheriques
305  *
306  * Revision 2.97 2000/09/19 13:05:38 phil
307  * ajout integrale_surface
308  *
309  * Revision 2.96 2000/09/11 15:54:03 eric
310  * Suppression des methodes deriv_x, deriv_y et deriv_z.
311  * Introduction des methodes comp_x_from_spherical, etc...
312  *
313  * Revision 2.95 2000/09/07 15:27:58 keisuke
314  * Add a new argument Cmp& uu in Map_af::poisson_regular and Map_et::poisson_regular.
315  *
316  * Revision 2.94 2000/09/04 15:30:56 keisuke
317  * Modify the arguments of Map_af::poisson_regular and Map_et::poisson_regular.
318  *
319  * Revision 2.93 2000/09/04 13:36:19 keisuke
320  * Modify the explanation for "uu_div" in Map_et::poisson_regular.
321  *
322  * Revision 2.92 2000/08/31 15:50:12 keisuke
323  * Modify Map_af::poisson_regular.
324  * Add Map_et::poisson_regular and Map::poisson_regular.
325  *
326  * Revision 2.91 2000/08/31 13:03:22 eric
327  * Ajout de la fonction virtuelle mult_rsint.
328  *
329  * Revision 2.90 2000/08/28 16:17:37 keisuke
330  * Add "int nzet" in the argumant of Map_af::poisson_regular.
331  *
332  * Revision 2.89 2000/08/18 11:10:12 eric
333  * Classe Map_et: ajout de l'operateur d'affectation a un autre Map_et.
334  *
335  * Revision 2.88 2000/08/11 08:50:18 keisuke
336  * Modif Map_af::poisson_regular
337  *
338  * Revision 2.87 2000/08/10 12:54:00 keisuke
339  * Ajout de Map_af::poisson_regular
340  *
341  * Revision 2.86 2000/07/20 14:21:07 eric
342  * Ajout de la fonction div_rsint.
343  *
344  * Revision 2.85 2000/05/25 13:54:41 eric
345  * Modif commentaires
346  *
347  * Revision 2.84 2000/05/22 14:38:51 phil
348  * ajout de inc_dzpuis et dec_dzpuis
349  *
350  * Revision 2.83 2000/04/27 15:18:54 phil
351  * *** empty log message ***
352  *
353  * Revision 2.82 2000/03/20 13:33:23 phil
354  * commentaires
355  *
356  * Revision 2.81 2000/03/17 17:32:48 phil
357  * *** empty log message ***
358  *
359  * Revision 2.80 2000/03/17 17:01:54 phil
360  * *** empty log message ***
361  *
362  * Revision 2.79 2000/03/17 16:58:48 phil
363  * ajout de poisson_frontiere
364  *
365  * Revision 2.78 2000/03/06 11:29:51 eric
366  * Ajout du membre reeavaluate_symy.
367  *
368  * Revision 2.77 2000/02/15 15:08:21 eric
369  * Changement du Param dans Map_et::adapt : fact_echelle est desormais
370  * passe en double_mod.
371  *
372  * Revision 2.76 2000/02/15 10:26:25 phil
373  * commentaire +
374  * suppression de poisson_vect et poisson_vect_oohara
375  *
376  * Revision 2.75 2000/02/11 13:37:43 eric
377  * Ajout de la fonction convert_absolute.
378  *
379  * Revision 2.74 2000/02/09 09:53:37 phil
380  * ajout de poisson_vect_oohara
381  *
382  * Revision 2.73 2000/01/26 13:07:02 eric
383  * Reprototypage complet des routines de derivation:
384  * le resultat est desormais suppose alloue a l'exterieur de la routine
385  * et est passe en argument (Cmp& resu), si bien que le prototypage
386  * complet devient:
387  * void DERIV(const Cmp& ci, Cmp& resu)
388  *
389  * Revision 2.72 2000/01/24 17:08:21 eric
390  * Class Map_af : suppression de la fonction convert.
391  * suppression du constructeur par convertion d'un Map_et.
392  * ajout du constructeur par conversion d'un Map.
393  *
394  * Revision 2.71 2000/01/24 16:41:43 eric
395  * Ajout de la fonction virtuelle operator=(const Map_af& ).
396  * Classe Map_af : ajout de la fonction convert(const Map& ).
397  *
398  * Revision 2.70 2000/01/21 12:48:34 phil
399  * changement prototypage de Map::poisson_vect
400  *
401  * Revision 2.69 2000/01/20 16:35:05 phil
402  * *** empty log message ***
403  *
404  * Revision 2.68 2000/01/20 15:44:42 phil
405  * *** empty log message ***
406  *
407  * Revision 2.67 2000/01/20 15:31:56 phil
408  * *** empty log message ***
409  *
410  * Revision 2.66 2000/01/20 14:18:06 phil
411  * *** empty log message ***
412  *
413  * Revision 2.65 2000/01/20 13:16:34 phil
414  * *** empty log message ***
415  *
416  * Revision 2.64 2000/01/20 12:51:24 phil
417  * *** empty log message ***
418  *
419  * Revision 2.63 2000/01/20 12:45:28 phil
420  * *** empty log message ***
421  *
422  * Revision 2.62 2000/01/20 12:40:27 phil
423  * *** empty log message ***
424  *
425  * Revision 2.61 2000/01/20 11:27:54 phil
426  * ajout de poisson_vect
427  *
428  * Revision 2.60 2000/01/13 15:31:55 eric
429  * Modif commentaires/
430  *
431  * Revision 2.59 2000/01/12 16:02:57 eric
432  * Modif commentaires poisson_compact.
433  *
434  * Revision 2.58 2000/01/12 12:54:23 eric
435  * Ajout du Cmp null, *p_cmp_zero, et de la methode associee cmp_zero().
436  *
437  * Revision 2.57 2000/01/10 13:27:43 eric
438  * Ajout des bases vectorielles associees aux coordonnees :
439  * membres bvect_spher et bvect_cart.
440  *
441  * Revision 2.56 2000/01/10 09:12:47 eric
442  * Reprototypage de poisson_compact : Valeur -> Cmp, Tenseur.
443  * Suppression de poisson_compact_boucle.
444  * poisson_compact est desormais implementee au niveau Map_radial.
445  *
446  * Revision 2.55 2000/01/04 15:23:11 eric
447  * Classe Map_radial : les data sont listees en premier
448  * Introduction de la fonction reevalutate.
449  *
450  * Revision 2.54 2000/01/03 13:30:32 eric
451  * Ajout de la fonction adapt.
452  *
453  * Revision 2.53 1999/12/22 17:09:52 eric
454  * Modif commentaires.
455  *
456  * Revision 2.52 1999/12/21 16:26:25 eric
457  * Ajout du constructeur par conversion Map_af::Map_af(const Map_et&).
458  * Ajout des fonctions Map_af::set_alpha et Map_af::set_beta.
459  *
460  * Revision 2.51 1999/12/21 13:01:29 eric
461  * Changement de prototype de la routine poisson : la solution est
462  * desormais passee en argument (et non plus en valeur de retour)
463  * pour permettre l'initialisation de methodes de resolution iterative.
464  *
465  * Revision 2.50 1999/12/21 10:12:09 eric
466  * Modif commentaires.
467  *
468  * Revision 2.49 1999/12/21 10:06:05 eric
469  * Ajout de l'argument Param& a poisson.
470  *
471  * Revision 2.48 1999/12/20 15:44:35 eric
472  * Modif commentaires.
473  *
474  * Revision 2.47 1999/12/20 10:47:45 eric
475  * Modif commentaires.
476  *
477  * Revision 2.46 1999/12/20 10:24:12 eric
478  * Ajout des fonctions de lecture des parametres de Map_et:
479  * get_alpha(), get_beta(), get_ff(), get_gg().
480  *
481  * Revision 2.45 1999/12/16 14:50:08 eric
482  * Modif commentaires.
483  *
484  * Revision 2.44 1999/12/16 14:17:54 eric
485  * Introduction de l'argument const Param& par dans val_lx et val_lx_jk.
486  * (en remplacement de l'argument Tbl& param).
487  *
488  * Revision 2.43 1999/12/09 10:45:24 eric
489  * Ajout de la fonction virtuelle integrale.
490  *
491  * Revision 2.42 1999/12/07 14:50:47 eric
492  * Changement ordre des arguments val_r, val_lx
493  * val_r_kj --> val_r_jk
494  * val_lx_kj -->val_lx_jk
495  *
496  * Revision 2.41 1999/12/06 16:45:20 eric
497  * Surcharge de val_lx avec la version sans param.
498  *
499  * Revision 2.40 1999/12/06 15:33:44 eric
500  * Ajout des fonctions val_r_kj et val_lx_kj.
501  *
502  * Revision 2.39 1999/12/06 13:11:54 eric
503  * Introduction des fonctions val_r, val_lx et homothetie.
504  *
505  * Revision 2.38 1999/12/02 14:28:22 eric
506  * Reprototypage de la fonction poisson: Valeur -> Cmp.
507  *
508  * Revision 2.37 1999/11/30 14:19:33 eric
509  * Reprototypage complet des fonctions membres mult_r, mult_r_zec,
510  * dec2_dzpuis et inc2_dzpuis : Valeur --> Cmp
511  *
512  * Revision 2.36 1999/11/29 13:17:57 eric
513  * Modif commentaires.
514  *
515  * Revision 2.35 1999/11/29 12:55:42 eric
516  * Changement prototype de la fonction laplacien : Valeur --> Cmp.
517  *
518  * Revision 2.34 1999/11/25 16:27:27 eric
519  * Reorganisation complete du calcul des derivees partielles.
520  *
521  * Revision 2.33 1999/11/24 16:31:17 eric
522  * Map_et: ajout des fonctions set_ff et set_gg.
523  *
524  * Revision 2.32 1999/11/24 14:31:48 eric
525  * Map_af: les membres alpha et beta deviennent prives.
526  * Map_af: introduction des fonctions get_alpha() et get_beta().
527  *
528  * Revision 2.31 1999/11/24 11:22:09 eric
529  * Map_et : Coords rendus publics
530  * Map_et : fonctions de constructions amies.
531  *
532  * Revision 2.30 1999/11/22 10:32:39 eric
533  * Introduction de la classe Map_et.
534  * Constructeurs de Map rendus protected.
535  * Fonction del_coord() rebaptisee reset_coord().
536  *
537  * Revision 2.29 1999/10/27 16:44:41 phil
538  * ajout de mult_r_zec
539  *
540  * Revision 2.28 1999/10/19 14:40:37 phil
541  * ajout de inc2_dzpuis()
542  *
543  * Revision 2.27 1999/10/15 14:12:20 eric
544  * *** empty log message ***
545  *
546  * Revision 2.26 1999/10/14 14:26:06 eric
547  * Depoussierage.
548  * Documentation.
549  *
550  * Revision 2.25 1999/10/11 11:16:29 phil
551  * changement prototypage de poisson_compact_boucle
552  *
553  * Revision 2.24 1999/10/11 10:48:51 phil
554  * changement de nom pour poisson a support compact
555  *
556  * Revision 2.23 1999/10/04 09:20:58 phil
557  * changement de prototypage de void Map_af::poisson_nul
558  *
559  * Revision 2.22 1999/09/30 18:38:32 phil
560  * *** empty log message ***
561  *
562  * Revision 2.21 1999/09/30 18:33:10 phil
563  * ajout de poisson_nul et poisson_nul_boucle
564  *
565  * Revision 2.20 1999/09/30 16:45:54 phil
566  * ajout de Map_af::poisson_nul(const Valeur&, int, int)
567  *
568  * Revision 2.19 1999/09/16 13:15:40 phil
569  * ajout de Valeur mult_r (const Valeur &)
570  *
571  * Revision 2.18 1999/09/15 10:42:11 phil
572  * ajout de Valeur dec2_dzpuis(const Valeur&)
573  *
574  * Revision 2.17 1999/09/14 13:45:45 phil
575  * suppression de la divergence
576  *
577  * Revision 2.16 1999/09/13 15:09:07 phil
578  * ajout de Map_af::divergence
579  *
580  * Revision 2.15 1999/09/13 13:52:23 phil
581  * ajout des derivations partielles par rapport a x,y et z.
582  *
583  * Revision 2.14 1999/09/07 14:35:20 phil
584  * ajout de la fonction Valeur** gradient(const Valeur&)
585  *
586  * Revision 2.13 1999/04/26 16:37:43 phil
587  * *** empty log message ***
588  *
589  * Revision 2.12 1999/04/26 16:33:28 phil
590  * *** empty log message ***
591  *
592  * Revision 2.11 1999/04/26 13:53:04 phil
593  * *** empty log message ***
594  *
595  * Revision 2.10 1999/04/26 13:51:19 phil
596  * ajout de Map_af::laplacien (2versions)
597  *
598  * Revision 2.9 1999/04/14 09:04:01 phil
599  * *** empty log message ***
600  *
601  * Revision 2.8 1999/04/14 08:53:27 phil
602  * *** empty log message ***
603  *
604  * Revision 2.7 1999/04/13 17:45:25 phil
605  * *** empty log message ***
606  *
607  * Revision 2.6 1999/04/13 17:02:41 phil
608  * ,
609  *
610  * Revision 2.5 1999/04/13 17:00:41 phil
611  * ajout de la resolution de poisson affine
612  *
613  * Revision 2.4 1999/03/04 13:10:53 eric
614  * Ajout des Coord representant les derivees du changement de variable
615  * dans la classe Map_radial.
616  *
617  * Revision 2.3 1999/03/01 17:00:38 eric
618  * *** empty log message ***
619  *
620  * Revision 2.2 1999/03/01 16:44:41 eric
621  * Operateurs << et >> sur les ostream.
622  * L'operateur >> est virtuel.
623  *
624  * Revision 2.1 1999/02/22 15:21:45 hyc
625  * *** empty log message ***
626  *
627  *
628  * Revision 2.0 1999/01/15 09:10:39 hyc
629  * *** empty log message ***
630  *
631  * $Header: /cvsroot/Lorene/C++/Include/map.h,v 1.65 2024/07/03 13:51:02 j_novak Exp $
632  *
633  */
634 
635 #include <cstdio>
636 
637 #include "coord.h"
638 #include "base_vect.h"
639 #include "valeur.h"
640 #include "tbl.h"
641 #include "itbl.h"
642 
643 namespace Lorene {
644 class Scalar ;
645 class Cmp ;
646 class Param ;
647 class Map_af ;
648 class Map_et ;
649 class Tenseur ;
650 class Param_elliptic ;
651 class Metric_flat ;
652 class Tbl ;
653 class Itbl ;
654 
655  //------------------------------------//
656  // class Map //
657  //------------------------------------//
658 
688 class Map {
689 
690  // Data :
691  // ----
692  protected:
694  const Mg3d* mg ;
695 
696  double ori_x ;
697  double ori_y ;
698  double ori_z ;
699  double rot_phi ;
700 
707  Base_vect_spher bvect_spher ;
708 
715  Base_vect_cart bvect_cart ;
716 
720  mutable Metric_flat* p_flat_met_spher ;
721 
725  mutable Metric_flat* p_flat_met_cart ;
726 
731  Cmp* p_cmp_zero ;
732 
733  mutable Map_af* p_mp_angu ;
734 
735  public:
736  Coord r ;
737  Coord tet ;
738  Coord phi ;
739  Coord sint ;
740  Coord cost ;
741  Coord sinp ;
742  Coord cosp ;
743 
744  Coord x ;
745  Coord y ;
746  Coord z ;
747 
748  Coord xa ;
749  Coord ya ;
750  Coord za ;
751 
752 
753  // Constructors, destructor :
754  // ------------------------
755 
756  protected:
757  explicit Map(const Mg3d& ) ;
758  Map(const Map &) ;
759  Map(const Mg3d&, FILE* ) ;
760 
761  public:
762  virtual ~Map() ;
763 
764  // Memory management
765  // -----------------
766  protected:
767  virtual void reset_coord() ;
768 
769  // Outputs
770  // -------
771  private:
772  virtual ostream& operator>>(ostream &) const = 0 ;
773 
774  public:
775  virtual void sauve(FILE* ) const ;
776 
777 
778  // Extraction of information
779  // -------------------------
780 
781  public:
783  const Mg3d* get_mg() const {return mg; };
784 
786  double get_ori_x() const {return ori_x;} ;
788  double get_ori_y() const {return ori_y;} ;
790  double get_ori_z() const {return ori_z;} ;
791 
793  double get_rot_phi() const {return rot_phi;} ;
794 
801  const Base_vect_spher& get_bvect_spher() const {return bvect_spher;} ;
802 
809  const Base_vect_cart& get_bvect_cart() const {return bvect_cart;} ;
810 
814  const Metric_flat& flat_met_spher() const ;
815 
819  const Metric_flat& flat_met_cart() const ;
820 
825  const Cmp& cmp_zero() const {return *p_cmp_zero;} ;
826 
830  virtual const Map_af& mp_angu(int) const = 0 ;
831 
842  void convert_absolute(double xx, double yy, double zz,
843  double& rr, double& theta, double& pphi) const ;
844 
853  virtual double val_r(int l, double xi, double theta, double pphi)
854  const = 0 ;
855 
864  virtual void val_lx(double rr, double theta, double pphi,
865  int& l, double& xi) const = 0 ;
866 
879  virtual void val_lx(double rr, double theta, double pphi,
880  const Param& par, int& l, double& xi) const = 0 ;
881 
882 
884  virtual bool operator==(const Map& ) const = 0;
885 
886 
887 
888  // Modification of the origin, the orientation and the radial scale:
889  // ----------------------------------------------------------------
890  public:
891  void set_ori(double xa0, double ya0, double za0) ;
892  void set_rot_phi(double phi0) ;
893 
898  virtual void homothetie(double lambda) = 0 ;
899 
909  virtual void resize(int l, double lambda) = 0 ;
910 
911  // Modification of the mapping
912  // ---------------------------
913  public:
915  virtual void operator=(const Map_af& ) = 0 ;
916 
922  virtual void adapt(const Cmp& ent, const Param& par, int nbr=0) = 0 ;
923 
924  // Values of a Cmp at the new grid points
925  // --------------------------------------
926 
939  virtual void reevaluate(const Map* mp_prev, int nzet,
940  Cmp& uu) const = 0 ;
941 
955  virtual void reevaluate_symy(const Map* mp_prev, int nzet,
956  Cmp& uu) const = 0 ;
957 
970  virtual void reevaluate(const Map* mp_prev, int nzet,
971  Scalar& uu) const = 0 ;
972 
986  virtual void reevaluate_symy(const Map* mp_prev, int nzet,
987  Scalar& uu) const = 0 ;
988 
989  // Differential operators:
990  // ----------------------
991  public:
998  virtual void dsdxi(const Cmp& ci, Cmp& resu) const = 0 ;
999 
1006  virtual void dsdr(const Cmp& ci, Cmp& resu) const = 0 ;
1007 
1014  virtual void srdsdt(const Cmp& ci, Cmp& resu) const = 0 ;
1015 
1023  virtual void srstdsdp(const Cmp& ci, Cmp& resu) const = 0 ;
1024 
1032  virtual void dsdxi(const Scalar& uu, Scalar& resu) const = 0 ;
1033 
1041  virtual void dsdr(const Scalar& uu, Scalar& resu) const = 0 ;
1042 
1051  virtual void dsdradial(const Scalar& uu, Scalar& resu) const = 0 ;
1052 
1060  virtual void srdsdt(const Scalar& uu, Scalar& resu) const = 0 ;
1061 
1069  virtual void srstdsdp(const Scalar& uu, Scalar& resu) const = 0 ;
1070 
1075  virtual void dsdt(const Scalar& uu, Scalar& resu) const = 0 ;
1076 
1081  virtual void stdsdp(const Scalar& uu, Scalar& resu) const = 0 ;
1082 
1093  virtual void laplacien(const Scalar& uu, int zec_mult_r,
1094  Scalar& lap) const = 0 ;
1095 
1097  virtual void laplacien(const Cmp& uu, int zec_mult_r,
1098  Cmp& lap) const = 0 ;
1099 
1106  virtual void lapang(const Scalar& uu, Scalar& lap) const = 0 ;
1107 
1108 
1119  virtual void primr(const Scalar& uu, Scalar& resu,
1120  bool null_infty) const = 0 ;
1121 
1122 
1123  // Various linear operators
1124  // ------------------------
1125  public:
1129  virtual void mult_r(Scalar& uu) const = 0 ;
1130 
1134  virtual void mult_r(Cmp& ci) const = 0 ;
1135 
1139  virtual void mult_r_zec(Scalar& ) const = 0 ;
1140 
1143  virtual void mult_rsint(Scalar& ) const = 0 ;
1144 
1147  virtual void div_rsint(Scalar& ) const = 0 ;
1148 
1151  virtual void div_r(Scalar& ) const = 0 ;
1152 
1156  virtual void div_r_zec(Scalar& ) const = 0 ;
1157 
1160  virtual void mult_cost(Scalar& ) const = 0 ;
1161 
1164  virtual void div_cost(Scalar& ) const = 0 ;
1165 
1168  virtual void mult_sint(Scalar& ) const = 0 ;
1169 
1172  virtual void div_sint(Scalar& ) const = 0 ;
1173 
1176  virtual void div_tant(Scalar& ) const = 0 ;
1177 
1187  virtual void comp_x_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1188  const Scalar& v_phi, Scalar& v_x) const = 0 ;
1190  virtual void comp_x_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1191  const Cmp& v_phi, Cmp& v_x) const = 0 ;
1192 
1202  virtual void comp_y_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1203  const Scalar& v_phi, Scalar& v_y) const = 0 ;
1204 
1206  virtual void comp_y_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1207  const Cmp& v_phi, Cmp& v_y) const = 0 ;
1208 
1217  virtual void comp_z_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1218  Scalar& v_z) const = 0 ;
1219 
1221  virtual void comp_z_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1222  Cmp& v_z) const = 0 ;
1223 
1233  virtual void comp_r_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1234  const Scalar& v_z, Scalar& v_r) const = 0 ;
1236  virtual void comp_r_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1237  const Cmp& v_z, Cmp& v_r) const = 0 ;
1238 
1248  virtual void comp_t_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1249  const Scalar& v_z, Scalar& v_t) const = 0 ;
1250 
1252  virtual void comp_t_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1253  const Cmp& v_z, Cmp& v_t) const = 0 ;
1254 
1263  virtual void comp_p_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1264  Scalar& v_p) const = 0 ;
1265 
1267  virtual void comp_p_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1268  Cmp& v_p) const = 0 ;
1269 
1274  virtual void dec_dzpuis(Scalar& ) const = 0 ;
1275 
1280  virtual void dec2_dzpuis(Scalar& ) const = 0 ;
1281 
1286  virtual void inc_dzpuis(Scalar& ) const = 0 ;
1287 
1292  virtual void inc2_dzpuis(Scalar& ) const = 0 ;
1293 
1301  virtual Tbl* integrale(const Cmp&) const = 0 ;
1302 
1303  // PDE resolution :
1304  // --------------
1305  public:
1316  virtual void poisson(const Cmp& source, Param& par, Cmp& uu) const = 0 ;
1317 
1328  virtual void poisson_tau(const Cmp& source, Param& par, Cmp& uu) const = 0 ;
1329 
1330  virtual void poisson_falloff(const Cmp& source, Param& par, Cmp& uu,
1331  int k_falloff) const = 0 ;
1332 
1333  virtual void poisson_ylm(const Cmp& source, Param& par, Cmp& pot,
1334  int nylm, double* intvec) const = 0 ;
1335 
1358  virtual void poisson_regular(const Cmp& source, int k_div, int nzet,
1359  double unsgam1, Param& par, Cmp& uu,
1360  Cmp& uu_regu, Cmp& uu_div,
1361  Tenseur& duu_div, Cmp& source_regu,
1362  Cmp& source_div) const = 0 ;
1363 
1377  virtual void poisson_compact(const Cmp& source, const Cmp& aa,
1378  const Tenseur& bb, const Param& par,
1379  Cmp& psi) const = 0 ;
1380 
1395  virtual void poisson_compact(int nzet, const Cmp& source, const Cmp& aa,
1396  const Tenseur& bb, const Param& par,
1397  Cmp& psi) const = 0 ;
1398 
1416  virtual void poisson_angu(const Scalar& source, Param& par,
1417  Scalar& uu, double lambda=0) const = 0 ;
1418 
1419  virtual void poisson_angu(const Cmp& source, Param& par,
1420  Cmp& uu, double lambda=0) const = 0 ;
1421 
1422 
1423  public:
1447  virtual Param* donne_para_poisson_vect (Param& para, int i) const = 0;
1448 
1469  virtual void poisson_frontiere (const Cmp& source,const Valeur& limite,
1470  int raccord, int num_front, Cmp& pot,
1471  double = 0., double = 0.) const = 0 ;
1472 
1473  virtual void poisson_frontiere_double (const Cmp& source, const Valeur& lim_func,
1474  const Valeur& lim_der, int num_zone, Cmp& pot) const = 0 ;
1475 
1476 
1487  virtual void poisson_interne (const Cmp& source, const Valeur& limite,
1488  Param& par, Cmp& pot) const = 0 ;
1489 
1490 
1512  virtual void poisson2d(const Cmp& source_mat, const Cmp& source_quad,
1513  Param& par, Cmp& uu) const = 0 ;
1514 
1528  virtual void dalembert(Param& par, Scalar& fJp1, const Scalar& fJ,
1529  const Scalar& fJm1, const Scalar& source) const = 0 ;
1530 
1531  // Friend functions :
1532  // ----------------
1533  friend ostream& operator<<(ostream& , const Map& ) ;
1534 };
1535 ostream& operator<<(ostream& , const Map& ) ;
1536 
1537 
1538 
1539  //------------------------------------//
1540  // class Map_radial //
1541  //------------------------------------//
1542 
1543 
1544 
1557 class Map_radial : public Map {
1558 
1559  // Data :
1560  // ----
1561 
1562  // 0th order derivatives of the mapping
1563  // - - - - - - - - - - - - - - - - - -
1564  public:
1570  Coord xsr ;
1571 
1572  // 1st order derivatives of the mapping
1573  // - - - - - - - - - - - - - - - - - -
1574  public:
1581  Coord dxdr ;
1582 
1589  Coord drdt ;
1590 
1597  Coord stdrdp ;
1598 
1605  Coord srdrdt ;
1606 
1613  Coord srstdrdp ;
1614 
1621  Coord sr2drdt ;
1622 
1629  Coord sr2stdrdp ;
1630 
1631  // 2nd order derivatives of the mapping
1632  // - - - - - - - - - - - - - - - - - -
1633  public:
1640  Coord d2rdx2 ;
1641 
1652  Coord lapr_tp ;
1653 
1654 
1661  Coord d2rdtdx ;
1662 
1669  Coord sstd2rdpdx ;
1670 
1671 
1678  Coord sr2d2rdt2 ;
1679 
1680 
1681  // Constructors, destructor :
1682  // ------------------------
1683 
1684  protected:
1686  Map_radial(const Mg3d& mgrid ) ;
1687  Map_radial(const Map_radial& mp) ;
1688  Map_radial (const Mg3d&, FILE* ) ;
1689 
1690  public:
1691  virtual ~Map_radial() ;
1692 
1693  // Memory management
1694  // -----------------
1695  protected:
1696  virtual void reset_coord() ;
1697  // Modification of the mapping
1698  // ---------------------------
1699  public:
1701  virtual void operator=(const Map_af& ) = 0 ;
1702 
1703  // Outputs
1704  // -------
1705  public:
1706  virtual void sauve(FILE* ) const ;
1707 
1708  // Extraction of information
1709  // -------------------------
1719  virtual double val_r_jk(int l, double xi, int j, int k) const = 0 ;
1720 
1731  virtual void val_lx_jk(double rr, int j, int k, const Param& par,
1732  int& l, double& xi) const = 0 ;
1733 
1735  virtual bool operator==(const Map& ) const = 0;
1736 
1737  // Values of a Cmp at the new grid points
1738  // --------------------------------------
1751  virtual void reevaluate(const Map* mp_prev, int nzet, Cmp& uu) const ;
1752 
1766  virtual void reevaluate_symy(const Map* mp_prev, int nzet, Cmp& uu)
1767  const ;
1768 
1781  virtual void reevaluate(const Map* mp_prev, int nzet, Scalar& uu) const ;
1782 
1796  virtual void reevaluate_symy(const Map* mp_prev, int nzet, Scalar& uu)
1797  const ;
1798 
1799  // Various linear operators
1800  // ------------------------
1801  public:
1805  virtual void mult_r(Scalar& uu) const ;
1806 
1810  virtual void mult_r(Cmp& ci) const ;
1811 
1816  virtual void mult_r_zec(Scalar& ) const ;
1817 
1820  virtual void mult_rsint(Scalar& ) const ;
1821 
1824  virtual void div_rsint(Scalar& ) const ;
1825 
1828  virtual void div_r(Scalar& ) const ;
1829 
1833  virtual void div_r_zec(Scalar& ) const ;
1834 
1837  virtual void mult_cost(Scalar& ) const ;
1838 
1841  virtual void div_cost(Scalar& ) const ;
1842 
1845  virtual void mult_sint(Scalar& ) const ;
1846 
1849  virtual void div_sint(Scalar& ) const ;
1850 
1853  virtual void div_tant(Scalar& ) const ;
1854 
1864  virtual void comp_x_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1865  const Scalar& v_phi, Scalar& v_x) const ;
1866 
1868  virtual void comp_x_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1869  const Cmp& v_phi, Cmp& v_x) const ;
1870 
1880  virtual void comp_y_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1881  const Scalar& v_phi, Scalar& v_y) const ;
1882 
1884  virtual void comp_y_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1885  const Cmp& v_phi, Cmp& v_y) const ;
1886 
1895  virtual void comp_z_from_spherical(const Scalar& v_r, const Scalar& v_theta,
1896  Scalar& v_z) const ;
1897 
1899  virtual void comp_z_from_spherical(const Cmp& v_r, const Cmp& v_theta,
1900  Cmp& v_z) const ;
1901 
1911  virtual void comp_r_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1912  const Scalar& v_z, Scalar& v_r) const ;
1913 
1915  virtual void comp_r_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1916  const Cmp& v_z, Cmp& v_r) const ;
1917 
1927  virtual void comp_t_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1928  const Scalar& v_z, Scalar& v_t) const ;
1929 
1931  virtual void comp_t_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1932  const Cmp& v_z, Cmp& v_t) const ;
1933 
1942  virtual void comp_p_from_cartesian(const Scalar& v_x, const Scalar& v_y,
1943  Scalar& v_p) const ;
1944 
1946  virtual void comp_p_from_cartesian(const Cmp& v_x, const Cmp& v_y,
1947  Cmp& v_p) const ;
1948 
1954  virtual void dec_dzpuis(Scalar& ) const ;
1955 
1961  virtual void dec2_dzpuis(Scalar& ) const ;
1962 
1968  virtual void inc_dzpuis(Scalar& ) const ;
1969 
1975  virtual void inc2_dzpuis(Scalar& ) const ;
1976 
1977 
1978  // PDE resolution :
1979  // --------------
1980  public:
2003  virtual void poisson_compact(const Cmp& source, const Cmp& aa,
2004  const Tenseur& bb, const Param& par,
2005  Cmp& psi) const ;
2006 
2021  virtual void poisson_compact(int nzet, const Cmp& source, const Cmp& aa,
2022  const Tenseur& bb, const Param& par,
2023  Cmp& psi) const ;
2024 
2025 };
2026 
2027 
2028  //------------------------------------//
2029  // class Map_af //
2030  //------------------------------------//
2031 
2032 
2033 
2048 class Map_af : public Map_radial {
2049 
2050  // Data :
2051  // ----
2052  private:
2054  double* alpha ;
2056  double* beta ;
2057 
2058  // Constructors, destructor :
2059  // ------------------------
2060  public:
2072  Map_af(const Mg3d& mgrille, const double* r_limits) ;
2085  Map_af(const Mg3d& mgrille, const Tbl& r_limits) ;
2086 
2087  Map_af(const Map_af& ) ;
2088  Map_af(const Mg3d&, const string&) ;
2089  Map_af(const Mg3d&, FILE* ) ;
2090 
2102  explicit Map_af(const Map& ) ;
2103 
2104  virtual ~Map_af() ;
2105 
2106  // Assignment
2107  // ----------
2108  public:
2110  virtual void operator=(const Map_af& ) ;
2111 
2112  // Memory management
2113  // -----------------
2114  private:
2116  void set_coord() ;
2117 
2118  // Extraction of information
2119  // -------------------------
2120  public:
2122  const double* get_alpha() const ;
2123 
2125  const double* get_beta() const ;
2126 
2130  virtual const Map_af& mp_angu(int) const ;
2131 
2141  virtual double val_r(int l, double xi, double theta, double pphi) const ;
2142 
2152  virtual void val_lx(double rr, double theta, double pphi,
2153  int& l, double& xi) const ;
2154 
2164  virtual void val_lx(double rr, double theta, double pphi,
2165  const Param& par, int& l, double& xi) const ;
2166 
2176  virtual double val_r_jk(int l, double xi, int j, int k) const ;
2177 
2187  virtual void val_lx_jk(double rr, int j, int k, const Param& par,
2188  int& l, double& xi) const ;
2189 
2191  virtual bool operator==(const Map& ) const ;
2192 
2193 
2194  // Outputs
2195  // -------
2196  public:
2197  virtual void sauve(FILE* ) const ;
2198 
2199  private:
2200  virtual ostream& operator>>(ostream &) const ;
2201 
2202  // Modification of the mapping
2203  // ---------------------------
2204  public:
2209  virtual void homothetie(double lambda) ;
2210 
2220  virtual void resize(int l, double lambda) ;
2221 
2227  void homothetie_interne(double lambda) ;
2228 
2231  virtual void adapt(const Cmp& ent, const Param& par, int nbr=0) ;
2232 
2234  void set_alpha(double alpha0, int l) ;
2235 
2237  void set_beta(double beta0, int l) ;
2238 
2239  // Differential operators:
2240  // ----------------------
2241  public:
2248  virtual void dsdxi(const Cmp& ci, Cmp& resu) const ;
2249 
2256  virtual void dsdr(const Cmp& ci, Cmp& resu) const ;
2257 
2264  virtual void srdsdt(const Cmp& ci, Cmp& resu) const ;
2265 
2273  virtual void srstdsdp(const Cmp& ci, Cmp& resu) const ;
2274 
2282  virtual void dsdr(const Scalar& uu, Scalar& resu) const ;
2283 
2291  virtual void dsdxi(const Scalar& uu, Scalar& resu) const ;
2292 
2300  virtual void dsdradial(const Scalar&, Scalar&) const ;
2301 
2309  virtual void srdsdt(const Scalar& uu, Scalar& resu) const ;
2310 
2318  virtual void srstdsdp(const Scalar& uu, Scalar& resu) const ;
2319 
2324  virtual void dsdt(const Scalar& uu, Scalar& resu) const ;
2325 
2330  virtual void stdsdp(const Scalar& uu, Scalar& resu) const ;
2331 
2342  virtual void laplacien(const Scalar& uu, int zec_mult_r,
2343  Scalar& lap) const ;
2344 
2346  virtual void laplacien(const Cmp& uu, int zec_mult_r,
2347  Cmp& lap) const ;
2348 
2355  virtual void lapang(const Scalar& uu, Scalar& lap) const ;
2356 
2357 
2368  virtual void primr(const Scalar& uu, Scalar& resu,
2369  bool null_infty) const ;
2370 
2371 
2379  virtual Tbl* integrale(const Cmp&) const ;
2380 
2381 
2382  // PDE resolution :
2383  // --------------
2384  public:
2392  virtual void poisson(const Cmp& source, Param& par, Cmp& uu) const ;
2393 
2401  virtual void poisson_tau(const Cmp& source, Param& par, Cmp& uu) const ;
2402 
2403  virtual void poisson_falloff(const Cmp& source, Param& par, Cmp& uu,
2404  int k_falloff) const ;
2405 
2406  virtual void poisson_ylm(const Cmp& source, Param& par, Cmp& pot,
2407  int nylm, double* intvec) const ;
2408 
2430  virtual void poisson_regular(const Cmp& source, int k_div, int nzet,
2431  double unsgam1, Param& par, Cmp& uu,
2432  Cmp& uu_regu, Cmp& uu_div,
2433  Tenseur& duu_div, Cmp& source_regu,
2434  Cmp& source_div) const ;
2435 
2453  virtual void poisson_angu(const Scalar& source, Param& par,
2454  Scalar& uu, double lambda=0) const ;
2455  virtual void poisson_angu(const Cmp& source, Param& par,
2456  Cmp& uu, double lambda=0) const ;
2457 
2467  virtual Param* donne_para_poisson_vect (Param& par, int i) const ;
2468 
2473  virtual void poisson_frontiere (const Cmp&, const Valeur&, int, int, Cmp&, double = 0., double = 0.) const ;
2474 
2480  virtual void poisson_frontiere_double (const Cmp& source, const Valeur& lim_func,
2481  const Valeur& lim_der, int num_zone, Cmp& pot) const ;
2482 
2493  virtual void poisson_interne (const Cmp& source, const Valeur& limite,
2494  Param& par, Cmp& pot) const ;
2495 
2500  double integrale_surface (const Cmp& ci, double rayon) const ;
2501 
2506  double integrale_surface (const Scalar& ci, double rayon) const ;
2507 
2508  double integrale_surface_falloff (const Cmp& ci) const ;
2509 
2514  double integrale_surface_infini (const Cmp& ci) const ;
2515 
2520  double integrale_surface_infini (const Scalar& ci) const ;
2521 
2529  void sol_elliptic (Param_elliptic& params,
2530  const Scalar& so, Scalar& uu) const ;
2531 
2532 
2544  void sol_elliptic_boundary (Param_elliptic& params,
2545  const Scalar& so, Scalar& uu, const Mtbl_cf& bound,
2546  double fact_dir, double fact_neu ) const ;
2547 
2552  void sol_elliptic_boundary (Param_elliptic& params,
2553  const Scalar& so, Scalar& uu, const Scalar& bound,
2554  double fact_dir, double fact_neu ) const ;
2555 
2565  void sol_elliptic_no_zec (Param_elliptic& params,
2566  const Scalar& so, Scalar& uu, double val) const ;
2567 
2577  void sol_elliptic_only_zec (Param_elliptic& params,
2578  const Scalar& so, Scalar& uu, double val) const ;
2579 
2585  void sol_elliptic_sin_zec (Param_elliptic& params,
2586  const Scalar& so, Scalar& uu,
2587  double* coefs, double*) const ;
2598  void sol_elliptic_fixe_der_zero (double val,
2599  Param_elliptic& params,
2600  const Scalar& so, Scalar& uu) const ;
2601 
2626  virtual void poisson2d(const Cmp& source_mat, const Cmp& source_quad,
2627  Param& par, Cmp& uu) const ;
2635  void sol_elliptic_2d(Param_elliptic&,
2636  const Scalar&, Scalar&) const ;
2644  void sol_elliptic_pseudo_1d(Param_elliptic&,
2645  const Scalar&, Scalar&) const ;
2646 
2675  virtual void dalembert(Param& par, Scalar& fJp1, const Scalar& fJ,
2676  const Scalar& fJm1, const Scalar& source) const ;
2677 
2683  Scalar interpolate_from_map_star(const Scalar& f_s) const ;
2684 
2685  // Building functions for the Coord's
2686  // ----------------------------------
2687  friend Mtbl* map_af_fait_r(const Map* ) ;
2688  friend Mtbl* map_af_fait_tet(const Map* ) ;
2689  friend Mtbl* map_af_fait_phi(const Map* ) ;
2690  friend Mtbl* map_af_fait_sint(const Map* ) ;
2691  friend Mtbl* map_af_fait_cost(const Map* ) ;
2692  friend Mtbl* map_af_fait_sinp(const Map* ) ;
2693  friend Mtbl* map_af_fait_cosp(const Map* ) ;
2694 
2695  friend Mtbl* map_af_fait_x(const Map* ) ;
2696  friend Mtbl* map_af_fait_y(const Map* ) ;
2697  friend Mtbl* map_af_fait_z(const Map* ) ;
2698 
2699  friend Mtbl* map_af_fait_xa(const Map* ) ;
2700  friend Mtbl* map_af_fait_ya(const Map* ) ;
2701  friend Mtbl* map_af_fait_za(const Map* ) ;
2702 
2703  friend Mtbl* map_af_fait_xsr(const Map* ) ;
2704  friend Mtbl* map_af_fait_dxdr(const Map* ) ;
2705  friend Mtbl* map_af_fait_drdt(const Map* ) ;
2706  friend Mtbl* map_af_fait_stdrdp(const Map* ) ;
2707  friend Mtbl* map_af_fait_srdrdt(const Map* ) ;
2708  friend Mtbl* map_af_fait_srstdrdp(const Map* ) ;
2709  friend Mtbl* map_af_fait_sr2drdt(const Map* ) ;
2710  friend Mtbl* map_af_fait_sr2stdrdp(const Map* ) ;
2711  friend Mtbl* map_af_fait_d2rdx2(const Map* ) ;
2712  friend Mtbl* map_af_fait_lapr_tp(const Map* ) ;
2713  friend Mtbl* map_af_fait_d2rdtdx(const Map* ) ;
2714  friend Mtbl* map_af_fait_sstd2rdpdx(const Map* ) ;
2715  friend Mtbl* map_af_fait_sr2d2rdt2(const Map* ) ;
2716 
2717 };
2718 
2719  Mtbl* map_af_fait_r(const Map* ) ;
2720  Mtbl* map_af_fait_tet(const Map* ) ;
2721  Mtbl* map_af_fait_phi(const Map* ) ;
2722  Mtbl* map_af_fait_sint(const Map* ) ;
2723  Mtbl* map_af_fait_cost(const Map* ) ;
2724  Mtbl* map_af_fait_sinp(const Map* ) ;
2725  Mtbl* map_af_fait_cosp(const Map* ) ;
2726 
2727  Mtbl* map_af_fait_x(const Map* ) ;
2728  Mtbl* map_af_fait_y(const Map* ) ;
2729  Mtbl* map_af_fait_z(const Map* ) ;
2730 
2731  Mtbl* map_af_fait_xa(const Map* ) ;
2732  Mtbl* map_af_fait_ya(const Map* ) ;
2733  Mtbl* map_af_fait_za(const Map* ) ;
2734 
2735  Mtbl* map_af_fait_xsr(const Map* ) ;
2736  Mtbl* map_af_fait_dxdr(const Map* ) ;
2737  Mtbl* map_af_fait_drdt(const Map* ) ;
2738  Mtbl* map_af_fait_stdrdp(const Map* ) ;
2739  Mtbl* map_af_fait_srdrdt(const Map* ) ;
2740  Mtbl* map_af_fait_srstdrdp(const Map* ) ;
2741  Mtbl* map_af_fait_sr2drdt(const Map* ) ;
2742  Mtbl* map_af_fait_sr2stdrdp(const Map* ) ;
2743  Mtbl* map_af_fait_d2rdx2(const Map* ) ;
2744  Mtbl* map_af_fait_lapr_tp(const Map* ) ;
2745  Mtbl* map_af_fait_d2rdtdx(const Map* ) ;
2746  Mtbl* map_af_fait_sstd2rdpdx(const Map* ) ;
2747  Mtbl* map_af_fait_sr2d2rdt2(const Map* ) ;
2748 
2749 
2750 
2751 
2752  //------------------------------------//
2753  // class Map_et //
2754  //------------------------------------//
2755 
2756 
2757 
2783 class Map_et : public Map_radial {
2784 
2785  // Data :
2786  // ----
2787  private:
2789  double* alpha ;
2791  double* beta ;
2792 
2796  Tbl** aa ;
2797 
2801  Tbl** daa ;
2802 
2806  Tbl** ddaa ;
2807 
2809  Tbl aasx ;
2810 
2812  Tbl aasx2 ;
2813 
2817  Tbl zaasx ;
2818 
2822  Tbl zaasx2 ;
2823 
2827  Tbl** bb ;
2828 
2832  Tbl** dbb ;
2833 
2837  Tbl** ddbb ;
2838 
2840  Tbl bbsx ;
2841 
2843  Tbl bbsx2 ;
2844 
2850  Valeur ff ;
2851 
2857  Valeur gg ;
2858 
2859  public:
2865  Coord rsxdxdr ;
2866 
2872  Coord rsx2drdx ;
2873 
2874  // Constructors, destructor :
2875  // ------------------------
2876  public:
2888  Map_et(const Mg3d& mgrille, const double* r_limits) ;
2889 
2907  Map_et(const Mg3d& mgrille, const double* r_limits,const Tbl& tab);
2908  Map_et(const Map_et& ) ;
2909  Map_et(const Mg3d&, FILE* ) ;
2910 
2911  virtual ~Map_et() ;
2912 
2913  // Assignment
2914  // ----------
2915  public:
2917  virtual void operator=(const Map_et& mp) ;
2918 
2920  virtual void operator=(const Map_af& mpa) ;
2921 
2923  void set_ff(const Valeur& ) ;
2925  void set_gg(const Valeur& ) ;
2926 
2927  // Memory management
2928  // -----------------
2929  private:
2931  void set_coord() ;
2932  protected:
2934  virtual void reset_coord() ;
2935 
2936  private:
2938  void fait_poly() ;
2939 
2940  // Extraction of information
2941  // -------------------------
2942  public:
2946  virtual const Map_af& mp_angu(int) const ;
2947 
2951  const double* get_alpha() const ;
2952 
2956  const double* get_beta() const ;
2957 
2959  const Valeur& get_ff() const ;
2960 
2962  const Valeur& get_gg() const ;
2963 
2973  virtual double val_r(int l, double xi, double theta, double pphi) const ;
2974 
2984  virtual void val_lx(double rr, double theta, double pphi,
2985  int& l, double& xi) const ;
2986 
3005  virtual void val_lx(double rr, double theta, double pphi,
3006  const Param& par, int& l, double& xi) const ;
3007 
3009  virtual bool operator==(const Map& ) const ;
3010 
3020  virtual double val_r_jk(int l, double xi, int j, int k) const ;
3021 
3038  virtual void val_lx_jk(double rr, int j, int k, const Param& par,
3039  int& l, double& xi) const ;
3040 
3041 
3042 
3043  // Outputs
3044  // -------
3045  public:
3046  virtual void sauve(FILE* ) const ;
3047 
3048  private:
3049  virtual ostream& operator>>(ostream &) const ;
3050 
3051  // Modification of the radial scale
3052  // --------------------------------
3053  public:
3058  virtual void homothetie(double lambda) ;
3059 
3069  virtual void resize(int l, double lambda) ;
3070 
3077  void resize_extr(double lambda) ;
3078 
3080  void set_alpha(double alpha0, int l) ;
3081 
3083  void set_beta(double beta0, int l) ;
3084 
3085  // Modification of the mapping
3086  // ---------------------------
3131  virtual void adapt(const Cmp& ent, const Param& par, int nbr_filtre = 0) ;
3132 
3133  // Differential operators:
3134  // ----------------------
3135  public:
3142  virtual void dsdxi(const Cmp& ci, Cmp& resu) const ;
3143 
3150  virtual void dsdr(const Cmp& ci, Cmp& resu) const ;
3151 
3158  virtual void srdsdt(const Cmp& ci, Cmp& resu) const ;
3159 
3167  virtual void srstdsdp(const Cmp& ci, Cmp& resu) const ;
3168 
3176  virtual void dsdxi(const Scalar& uu, Scalar& resu) const ;
3177 
3185  virtual void dsdr(const Scalar& uu, Scalar& resu) const ;
3186 
3195  virtual void dsdradial(const Scalar& uu, Scalar& resu) const ;
3196 
3204  virtual void srdsdt(const Scalar& uu, Scalar& resu) const ;
3205 
3213  virtual void srstdsdp(const Scalar& uu, Scalar& resu) const ;
3214 
3219  virtual void dsdt(const Scalar& uu, Scalar& resu) const ;
3220 
3225  virtual void stdsdp(const Scalar& uu, Scalar& resu) const ;
3226 
3237  virtual void laplacien(const Scalar& uu, int zec_mult_r,
3238  Scalar& lap) const ;
3239 
3241  virtual void laplacien(const Cmp& uu, int zec_mult_r,
3242  Cmp& lap) const ;
3243 
3250  virtual void lapang(const Scalar& uu, Scalar& lap) const ;
3251 
3252 
3263  virtual void primr(const Scalar& uu, Scalar& resu,
3264  bool null_infty) const ;
3265 
3266 
3274  virtual Tbl* integrale(const Cmp&) const ;
3275 
3276 
3277  // PDE resolution :
3278  // --------------
3279  public:
3317  virtual void poisson(const Cmp& source, Param& par, Cmp& uu) const ;
3318 
3356  virtual void poisson_tau(const Cmp& source, Param& par, Cmp& uu) const ;
3357 
3358  virtual void poisson_falloff(const Cmp& source, Param& par, Cmp& uu,
3359  int k_falloff) const ;
3360 
3361  virtual void poisson_ylm(const Cmp& source, Param& par, Cmp& uu,
3362  int nylm, double* intvec) const ;
3363 
3399  virtual void poisson_regular(const Cmp& source, int k_div, int nzet,
3400  double unsgam1, Param& par, Cmp& uu,
3401  Cmp& uu_regu, Cmp& uu_div,
3402  Tenseur& duu_div, Cmp& source_regu,
3403  Cmp& source_div) const ;
3404 
3422  virtual void poisson_angu(const Scalar& source, Param& par,
3423  Scalar& uu, double lambda=0) const ;
3424  virtual void poisson_angu(const Cmp& source, Param& par,
3425  Cmp& uu, double lambda=0) const ;
3426 
3450  virtual Param* donne_para_poisson_vect (Param& para, int i) const ;
3451 
3455  virtual void poisson_frontiere (const Cmp&, const Valeur&, int, int,
3456  Cmp&, double = 0., double = 0.) const ;
3457  virtual void poisson_frontiere_double (const Cmp& source,
3458  const Valeur& lim_func, const Valeur& lim_der,
3459  int num_zone, Cmp& pot) const ;
3460 
3471  virtual void poisson_interne (const Cmp& source, const Valeur& limite,
3472  Param& par, Cmp& pot) const ;
3473 
3474 
3513  virtual void poisson2d(const Cmp& source_mat, const Cmp& source_quad,
3514  Param& par, Cmp& uu) const ;
3515 
3519  virtual void dalembert(Param& par, Scalar& fJp1, const Scalar& fJ,
3520  const Scalar& fJm1, const Scalar& source) const ;
3521 
3522 
3523 
3524 
3525  // Building functions for the Coord's
3526  // ----------------------------------
3527  friend Mtbl* map_et_fait_r(const Map* ) ;
3528  friend Mtbl* map_et_fait_tet(const Map* ) ;
3529  friend Mtbl* map_et_fait_phi(const Map* ) ;
3530  friend Mtbl* map_et_fait_sint(const Map* ) ;
3531  friend Mtbl* map_et_fait_cost(const Map* ) ;
3532  friend Mtbl* map_et_fait_sinp(const Map* ) ;
3533  friend Mtbl* map_et_fait_cosp(const Map* ) ;
3534 
3535  friend Mtbl* map_et_fait_x(const Map* ) ;
3536  friend Mtbl* map_et_fait_y(const Map* ) ;
3537  friend Mtbl* map_et_fait_z(const Map* ) ;
3538 
3539  friend Mtbl* map_et_fait_xa(const Map* ) ;
3540  friend Mtbl* map_et_fait_ya(const Map* ) ;
3541  friend Mtbl* map_et_fait_za(const Map* ) ;
3542 
3543  friend Mtbl* map_et_fait_xsr(const Map* ) ;
3544  friend Mtbl* map_et_fait_dxdr(const Map* ) ;
3545  friend Mtbl* map_et_fait_drdt(const Map* ) ;
3546  friend Mtbl* map_et_fait_stdrdp(const Map* ) ;
3547  friend Mtbl* map_et_fait_srdrdt(const Map* ) ;
3548  friend Mtbl* map_et_fait_srstdrdp(const Map* ) ;
3549  friend Mtbl* map_et_fait_sr2drdt(const Map* ) ;
3550  friend Mtbl* map_et_fait_sr2stdrdp(const Map* ) ;
3551  friend Mtbl* map_et_fait_d2rdx2(const Map* ) ;
3552  friend Mtbl* map_et_fait_lapr_tp(const Map* ) ;
3553  friend Mtbl* map_et_fait_d2rdtdx(const Map* ) ;
3554  friend Mtbl* map_et_fait_sstd2rdpdx(const Map* ) ;
3555  friend Mtbl* map_et_fait_sr2d2rdt2(const Map* ) ;
3556 
3557  friend Mtbl* map_et_fait_rsxdxdr(const Map* ) ;
3558  friend Mtbl* map_et_fait_rsx2drdx(const Map* ) ;
3559 
3560 };
3561 
3562  Mtbl* map_et_fait_r(const Map* ) ;
3563  Mtbl* map_et_fait_tet(const Map* ) ;
3564  Mtbl* map_et_fait_phi(const Map* ) ;
3565  Mtbl* map_et_fait_sint(const Map* ) ;
3566  Mtbl* map_et_fait_cost(const Map* ) ;
3567  Mtbl* map_et_fait_sinp(const Map* ) ;
3568  Mtbl* map_et_fait_cosp(const Map* ) ;
3569 
3570  Mtbl* map_et_fait_x(const Map* ) ;
3571  Mtbl* map_et_fait_y(const Map* ) ;
3572  Mtbl* map_et_fait_z(const Map* ) ;
3573 
3574  Mtbl* map_et_fait_xa(const Map* ) ;
3575  Mtbl* map_et_fait_ya(const Map* ) ;
3576  Mtbl* map_et_fait_za(const Map* ) ;
3577 
3578  Mtbl* map_et_fait_xsr(const Map* ) ;
3579  Mtbl* map_et_fait_dxdr(const Map* ) ;
3580  Mtbl* map_et_fait_drdt(const Map* ) ;
3581  Mtbl* map_et_fait_stdrdp(const Map* ) ;
3582  Mtbl* map_et_fait_srdrdt(const Map* ) ;
3583  Mtbl* map_et_fait_srstdrdp(const Map* ) ;
3584  Mtbl* map_et_fait_sr2drdt(const Map* ) ;
3585  Mtbl* map_et_fait_sr2stdrdp(const Map* ) ;
3586  Mtbl* map_et_fait_d2rdx2(const Map* ) ;
3587  Mtbl* map_et_fait_lapr_tp(const Map* ) ;
3588  Mtbl* map_et_fait_d2rdtdx(const Map* ) ;
3589  Mtbl* map_et_fait_sstd2rdpdx(const Map* ) ;
3590  Mtbl* map_et_fait_sr2d2rdt2(const Map* ) ;
3591 
3592  Mtbl* map_et_fait_rsxdxdr(const Map* ) ;
3593  Mtbl* map_et_fait_rsx2drdx(const Map* ) ;
3594 
3595  //------------------------------------//
3596  // class Map_log //
3597  //------------------------------------//
3598 
3599 #define AFFINE 0
3600 #define LOG 1
3601 
3616 class Map_log : public Map_radial {
3617 
3618  // Data :
3619  // ----
3620  private:
3622  Tbl alpha ;
3624  Tbl beta ;
3628  Itbl type_var ;
3629 
3630  public:
3636  Coord dxdlnr ;
3637 
3638  private:
3639  void set_coord() ;
3640 
3641  // Constructors, destructor :
3642  // ------------------------
3643  public:
3656  Map_log (const Mg3d& mgrille, const Tbl& r_limits, const Itbl& typevar) ;
3657 
3658 
3659  Map_log (const Map_log& ) ;
3660  Map_log (const Mg3d&, FILE* ) ;
3661 
3662  virtual ~Map_log() ;
3663 
3667  virtual const Map_af& mp_angu(int) const ;
3668 
3670  double get_alpha (int l) const {return alpha(l) ;} ;
3672  double get_beta (int l) const {return beta(l) ;} ;
3674  int get_type (int l) const {return type_var(l) ;} ;
3675 
3683  void sol_elliptic (Param_elliptic& params,
3684  const Scalar& so, Scalar& uu) const ;
3685 
3686 
3698  void sol_elliptic_boundary (Param_elliptic& params,
3699  const Scalar& so, Scalar& uu, const Mtbl_cf& bound,
3700  double fact_dir, double fact_neu ) const ;
3701 
3705  void sol_elliptic_boundary (Param_elliptic& params,
3706  const Scalar& so, Scalar& uu, const Scalar& bound,
3707  double fact_dir, double fact_neu ) const ;
3708 
3709 
3719  void sol_elliptic_no_zec (Param_elliptic& params,
3720  const Scalar& so, Scalar& uu, double) const ;
3721 
3722 
3723  virtual void sauve(FILE*) const ;
3724 
3726  virtual void operator=(const Map_af& mpa) ;
3727 
3728 
3729  virtual ostream& operator>> (ostream&) const ;
3730 
3740  virtual double val_r (int l, double xi, double theta, double pphi) const ;
3741 
3751  virtual void val_lx (double rr, double theta, double pphi, int& l, double& xi) const ;
3752 
3762  virtual void val_lx (double rr, double theta, double pphi, const Param& par, int& l, double& xi) const ;
3763 
3764 
3765  virtual bool operator== (const Map&) const ;
3766 
3776  virtual double val_r_jk (int l, double xi, int j, int k) const ;
3777 
3787  virtual void val_lx_jk (double rr, int j, int k, const Param& par, int& l, double& xi) const ;
3788 
3795  virtual void dsdr (const Scalar& ci, Scalar& resu) const ;
3796 
3803  virtual void dsdxi (const Scalar& ci, Scalar& resu) const ;
3804 
3813  virtual void dsdradial (const Scalar& uu, Scalar& resu) const ;
3814 
3815  virtual void homothetie (double) ;
3816  virtual void resize (int, double) ;
3817  virtual void adapt (const Cmp&, const Param&, int) ;
3818  virtual void dsdr (const Cmp&, Cmp&) const ;
3819  virtual void dsdxi (const Cmp&, Cmp&) const ;
3820  virtual void srdsdt (const Cmp&, Cmp&) const ;
3821  virtual void srstdsdp (const Cmp&, Cmp&) const ;
3822  virtual void srstdsdp (const Scalar&, Scalar&) const ;
3823  virtual void srdsdt (const Scalar&, Scalar&) const ;
3824  virtual void dsdt (const Scalar&, Scalar&) const ;
3825  virtual void stdsdp (const Scalar&, Scalar&) const ;
3826  virtual void laplacien (const Scalar&, int, Scalar&) const ;
3827  virtual void laplacien (const Cmp&, int, Cmp&) const ;
3828  virtual void lapang (const Scalar&, Scalar&) const ;
3829  virtual void primr(const Scalar&, Scalar&, bool) const ;
3830  virtual Tbl* integrale (const Cmp&) const ;
3831  virtual void poisson (const Cmp&, Param&, Cmp&) const ;
3832  virtual void poisson_tau (const Cmp&, Param&, Cmp&) const ;
3833  virtual void poisson_falloff(const Cmp&, Param&, Cmp&, int) const ;
3834  virtual void poisson_ylm(const Cmp&, Param&, Cmp&, int, double*) const ;
3835  virtual void poisson_regular (const Cmp&, int, int, double, Param&, Cmp&, Cmp&, Cmp&,
3836  Tenseur&, Cmp&, Cmp&) const ;
3837  virtual void poisson_angu (const Scalar&, Param&, Scalar&, double=0) const ;
3838  virtual void poisson_angu (const Cmp&, Param&, Cmp&, double=0) const ;
3839  virtual Param* donne_para_poisson_vect (Param&, int) const ;
3840  virtual void poisson_frontiere (const Cmp&, const Valeur&, int, int, Cmp&, double = 0., double = 0.) const ;
3841  virtual void poisson_frontiere_double (const Cmp&, const Valeur&, const Valeur&, int, Cmp&) const ;
3842  virtual void poisson_interne (const Cmp&, const Valeur&, Param&, Cmp&) const ;
3843  virtual void poisson2d (const Cmp&, const Cmp&, Param&, Cmp&) const ;
3844  virtual void dalembert (Param&, Scalar&, const Scalar&, const Scalar&, const Scalar&) const ;
3845 
3846 
3847  // Building functions for the Coord's
3848  // ----------------------------------
3849  friend Mtbl* map_log_fait_r(const Map* ) ;
3850  friend Mtbl* map_log_fait_tet(const Map* ) ;
3851  friend Mtbl* map_log_fait_phi(const Map* ) ;
3852  friend Mtbl* map_log_fait_sint(const Map* ) ;
3853  friend Mtbl* map_log_fait_cost(const Map* ) ;
3854  friend Mtbl* map_log_fait_sinp(const Map* ) ;
3855  friend Mtbl* map_log_fait_cosp(const Map* ) ;
3856 
3857  friend Mtbl* map_log_fait_x(const Map* ) ;
3858  friend Mtbl* map_log_fait_y(const Map* ) ;
3859  friend Mtbl* map_log_fait_z(const Map* ) ;
3860 
3861  friend Mtbl* map_log_fait_xa(const Map* ) ;
3862  friend Mtbl* map_log_fait_ya(const Map* ) ;
3863  friend Mtbl* map_log_fait_za(const Map* ) ;
3864 
3865  friend Mtbl* map_log_fait_xsr(const Map* ) ;
3866  friend Mtbl* map_log_fait_dxdr(const Map* ) ;
3867  friend Mtbl* map_log_fait_drdt(const Map* ) ;
3868  friend Mtbl* map_log_fait_stdrdp(const Map* ) ;
3869  friend Mtbl* map_log_fait_srdrdt(const Map* ) ;
3870  friend Mtbl* map_log_fait_srstdrdp(const Map* ) ;
3871  friend Mtbl* map_log_fait_sr2drdt(const Map* ) ;
3872  friend Mtbl* map_log_fait_sr2stdrdp(const Map* ) ;
3873  friend Mtbl* map_log_fait_d2rdx2(const Map* ) ;
3874  friend Mtbl* map_log_fait_lapr_tp(const Map* ) ;
3875  friend Mtbl* map_log_fait_d2rdtdx(const Map* ) ;
3876  friend Mtbl* map_log_fait_sstd2rdpdx(const Map* ) ;
3877  friend Mtbl* map_log_fait_sr2d2rdt2(const Map* ) ;
3878  friend Mtbl* map_log_fait_dxdlnr(const Map* ) ;
3879 
3880 };
3881 
3882 Mtbl* map_log_fait_r(const Map* ) ;
3883 Mtbl* map_log_fait_tet(const Map* ) ;
3884 Mtbl* map_log_fait_phi(const Map* ) ;
3885 Mtbl* map_log_fait_sint(const Map* ) ;
3886 Mtbl* map_log_fait_cost(const Map* ) ;
3887 Mtbl* map_log_fait_sinp(const Map* ) ;
3888 Mtbl* map_log_fait_cosp(const Map* ) ;
3889 
3890 Mtbl* map_log_fait_x(const Map* ) ;
3891 Mtbl* map_log_fait_y(const Map* ) ;
3892 Mtbl* map_log_fait_z(const Map* ) ;
3893 
3894 Mtbl* map_log_fait_xa(const Map* ) ;
3895 Mtbl* map_log_fait_ya(const Map* ) ;
3896 Mtbl* map_log_fait_za(const Map* ) ;
3897 
3898 Mtbl* map_log_fait_xsr(const Map* ) ;
3899 Mtbl* map_log_fait_dxdr(const Map* ) ;
3900 Mtbl* map_log_fait_drdt(const Map* ) ;
3901 Mtbl* map_log_fait_stdrdp(const Map* ) ;
3902 Mtbl* map_log_fait_srdrdt(const Map* ) ;
3903 Mtbl* map_log_fait_srstdrdp(const Map* ) ;
3904 Mtbl* map_log_fait_sr2drdt(const Map* ) ;
3905 Mtbl* map_log_fait_sr2stdrdp(const Map* ) ;
3906 Mtbl* map_log_fait_d2rdx2(const Map* ) ;
3907 Mtbl* map_log_fait_lapr_tp(const Map* ) ;
3908 Mtbl* map_log_fait_d2rdtdx(const Map* ) ;
3909 Mtbl* map_log_fait_sstd2rdpdx(const Map* ) ;
3910 Mtbl* map_log_fait_sr2d2rdt2(const Map* ) ;
3911 
3912 Mtbl* map_log_fait_dxdlnr (const Map*) ;
3913 
3914 }
3915 
3916  //------------------------//
3917  // Remaining Mappings //
3918  //------------------------//
3919 
3920 #include "map_star.h"
3921 
3922 #endif
Lorene::Map::xa
Coord xa
Absolute x coordinate.
Definition: map.h:748
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:3624
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:1640
Lorene::Map_et::bb
Tbl ** bb
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2827
Lorene::Map_radial::sr2d2rdt2
Coord sr2d2rdt2
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1678
Lorene::Map_radial::sr2stdrdp
Coord sr2stdrdp
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1629
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:139
Lorene::Map_et::zaasx
Tbl zaasx
Values at the nr collocation points of in the outermost compactified domain.
Definition: map.h:2817
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:2783
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:113
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:227
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:825
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:266
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:2054
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:788
Lorene::Map::integrale
virtual Tbl * integrale(const Cmp &) const =0
Computes the integral over all space of a Cmp .
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:801
Lorene::Map_et::alpha
double * alpha
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:2789
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:3670
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:731
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:783
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:1621
Lorene::Map_log::get_type
int get_type(int l) const
Returns the type of description in the domain l.
Definition: map.h:3674
Lorene::Map_et::bbsx
Tbl bbsx
Values at the nr collocation points of in the nucleus.
Definition: map.h:2840
Lorene::Scalar
Tensor field of valence 0 (or component of a tensorial field).
Definition: scalar.h:393
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:181
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:688
Lorene::Map::get_ori_x
double get_ori_x() const
Returns the x coordinate of the origin.
Definition: map.h:786
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:147
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:733
Lorene::Map_af::integrale
virtual Tbl * integrale(const Cmp &) const
Computes the integral over all space of a Cmp.
Definition: map_af_integ.C:84
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:793
Lorene::Map_et::ddbb
Tbl ** ddbb
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2837
Lorene::Map_log::type_var
Itbl type_var
Array (size: mg->nzone ) of the type of variable in each domain.
Definition: map.h:3628
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:334
Lorene::Map_et::daa
Tbl ** daa
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2801
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:1613
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.
Lorene::Map::tet
Coord tet
coordinate centered on the grid
Definition: map.h:737
Lorene::Map_log::srstdsdp
virtual void srstdsdp(const Cmp &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:123
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:135
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:256
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:738
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:739
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.
Definition: map_et_poisson.C:111
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:3636
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:720
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:103
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:2812
Lorene::Map_et::ff
Valeur ff
Values of the function at the nt*np angular collocation points in each domain.
Definition: map.h:2850
Lorene::Map_radial::stdrdp
Coord stdrdp
in the nucleus and in the non-compactified shells; \ in the compactified external domain (CED)...
Definition: map.h:1597
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.
Definition: map_af_poisson.C:103
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:3616
Lorene::Map_radial::dxdr
Coord dxdr
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1581
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:697
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:698
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:3622
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:2872
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:1557
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:2056
Lorene::Map::sinp
Coord sinp
Definition: map.h:741
Lorene::Map_et::aa
Tbl ** aa
Array (size: mg->nzone ) of Tbl which stores the values of in each domain.
Definition: map.h:2796
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:107
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:1669
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:194
Lorene::Map_log::integrale
virtual Tbl * integrale(const Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:155
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:1570
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:725
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:279
Lorene::Map_radial::drdt
Coord drdt
in the nucleus and in the non-compactified shells; \ in the compactified external domain (CED)...
Definition: map.h:1589
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:198
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:212
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:168
Lorene::Map_et::rsxdxdr
Coord rsxdxdr
in the nucleus; \ in the shells; \ in the outermost compactified domain.
Definition: map.h:2865
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.
Definition: map_af_poisson.C:168
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:220
Lorene::Map_log::lapang
virtual void lapang(const Scalar &, Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:151
Lorene::Map::ya
Coord ya
Absolute y coordinate.
Definition: map.h:749
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:602
Lorene::Map_log::poisson_falloff
virtual void poisson_falloff(const Cmp &, Param &, Cmp &, int) const
< Not implemented
Definition: map_log_pas_fait.C:216
Lorene::Map::mg
const Mg3d * mg
Pointer on the multi-grid Mgd3 on which this is defined.
Definition: map.h:694
Lorene::Mg3d
Multi-domain grid.
Definition: grilles.h:279
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:696
Lorene::Map_af
Affine radial mapping.
Definition: map.h:2048
Lorene::Map_et::zaasx2
Tbl zaasx2
Values at the nr collocation points of in the outermost compactified domain.
Definition: map.h:2822
Lorene::Map_log::dalembert
virtual void dalembert(Param &, Scalar &, const Scalar &, const Scalar &, const Scalar &) const
< Not implemented
Definition: map_log_pas_fait.C:202
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::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:809
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:2857
Lorene::Map::y
Coord y
y coordinate centered on the grid
Definition: map.h:745
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:99
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:750
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:1652
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:3672
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:742
Lorene::Map::poisson
virtual void poisson(const Cmp &source, Param &par, Cmp &uu) const =0
Computes the solution of a scalar Poisson equation.
Lorene::Map_et::beta
double * beta
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:2791
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:173
Lorene::Map_et::integrale
virtual Tbl * integrale(const Cmp &) const
Computes the integral over all space of a Cmp.
Definition: map_et_integ.C:77
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:744
Lorene::Map::bvect_spher
Base_vect_spher bvect_spher
Orthonormal vectorial basis associated with the coordinates of the mapping.
Definition: map.h:707
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:190
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:790
Lorene::Map_log::poisson
virtual void poisson(const Cmp &, Param &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:160
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:186
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:164
Lorene::Map_log::srdsdt
virtual void srdsdt(const Cmp &, Cmp &) const
< Not implemented
Definition: map_log_pas_fait.C:119
Lorene::Map_et::bbsx2
Tbl bbsx2
Values at the nr collocation points of in the nucleus.
Definition: map.h:2843
Lorene::Map::Map
Map(const Mg3d &)
Constructor from a multi-domain 3D grid.
Definition: map.C:142
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:305
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:1605
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:190
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:216
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:746
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:699
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:2832
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:324
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:2809
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:715
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:2806
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:736
Lorene::Map_radial::d2rdtdx
Coord d2rdtdx
in the nucleus and in the non-compactified shells; \ in the compactified outer domain.
Definition: map.h:1661
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:242
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.
Definition: map_et_poisson.C:360
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:206
Lorene::Map::cost
Coord cost
Definition: map.h:740