LORENE
map_af_integ_surf.C
1 /*
2  * Copyright (c) 2000-2001 Philippe Grandclement
3  *
4  * This file is part of LORENE.
5  *
6  * LORENE is free software; you can redistribute it and/or modify
7  * it under the terms of the GNU General Public License as published by
8  * the Free Software Foundation; either version 2 of the License, or
9  * (at your option) any later version.
10  *
11  * LORENE is distributed in the hope that it will be useful,
12  * but WITHOUT ANY WARRANTY; without even the implied warranty of
13  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14  * GNU General Public License for more details.
15  *
16  * You should have received a copy of the GNU General Public License
17  * along with LORENE; if not, write to the Free Software
18  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
19  *
20  */
21 
22 
23 
24 
25 /*
26  * $Id: map_af_integ_surf.C,v 1.10 2018/11/16 14:34:35 j_novak Exp $
27  * $Log: map_af_integ_surf.C,v $
28  * Revision 1.10 2018/11/16 14:34:35 j_novak
29  * Changed minor points to avoid some compilation warnings.
30  *
31  * Revision 1.9 2017/02/24 16:50:27 j_novak
32  * *** empty log message ***
33  *
34  * Revision 1.8 2016/12/05 16:17:57 j_novak
35  * Suppression of some global variables (file names, loch, ...) to prevent redefinitions
36  *
37  * Revision 1.7 2014/10/13 08:53:02 j_novak
38  * Lorene classes and functions now belong to the namespace Lorene.
39  *
40  * Revision 1.6 2014/10/06 15:13:12 j_novak
41  * Modified #include directives to use c++ syntax.
42  *
43  * Revision 1.5 2009/10/08 16:20:47 j_novak
44  * Addition of new bases T_COS and T_SIN.
45  *
46  * Revision 1.4 2007/10/05 15:56:19 j_novak
47  * Addition of new bases for the non-symmetric case in theta.
48  *
49  * Revision 1.3 2004/03/10 12:43:06 jl_jaramillo
50  * Treatment of case ETATUN in surface integrals for Scalar's.
51  *
52  * Revision 1.2 2004/01/29 08:50:03 p_grandclement
53  * Modification of Map::operator==(const Map&) and addition of the surface
54  * integrales using Scalar.
55  *
56  * Revision 1.1.1.1 2001/11/20 15:19:27 e_gourgoulhon
57  * LORENE
58  *
59  * Revision 1.7 2001/02/19 11:40:27 phil
60  * correction indices
61  *
62  * Revision 1.6 2001/02/12 14:14:29 phil
63  * *** empty log message ***
64  *
65  * Revision 1.5 2001/02/12 14:00:52 phil
66  * on prends tous les coefficients now
67  *
68  * Revision 1.4 2001/02/12 12:35:34 phil
69  * gestion des bases angulaires plus proprement
70  *
71  * Revision 1.3 2001/01/02 10:52:27 phil
72  * ajout calcul a l'infini
73  *
74  * Revision 1.2 2000/09/19 13:54:14 phil
75  * *** empty log message ***
76  *
77  * Revision 1.1 2000/09/19 13:09:32 phil
78  * Initial revision
79  *
80  *
81  * $Header: /cvsroot/Lorene/C++/Source/Map/map_af_integ_surf.C,v 1.10 2018/11/16 14:34:35 j_novak Exp $
82  *
83  */
84 
85 
86 #include <cstdlib>
87 #include <cmath>
88 
89 #include "map.h"
90 #include "cmp.h"
91 #include "proto.h"
92 #include "scalar.h"
93 
94  //=============
95  // Cmp version
96  //===============
97 
98 namespace Lorene {
99 double Map_af::integrale_surface (const Cmp& ci, double rayon) const {
100 
101  assert (ci.get_etat() != ETATNONDEF) ;
102  assert (rayon > 0) ;
103  if (ci.get_etat() == ETATZERO)
104  return 0 ;
105 
106  assert (ci.get_etat() == ETATQCQ) ;
107 
108  int l ;
109  double xi ;
110  val_lx (rayon, 0, 0, l, xi) ;
111 
112  if (l == get_mg()->get_nzone()-1) {
113  ci.check_dzpuis(0) ;
114  }
115 
116  ci.va.coef() ;
117  int nr = get_mg()->get_nr(l) ;
118  int nt = get_mg()->get_nt(l) ;
119 
120  int base_r = ci.va.base.get_base_r(l) ;
121  int base_t = ci.va.base.get_base_t(l) ;
122  int base_p = ci.va.base.get_base_p(l) ;
123 
124  double result = 0 ;
125  double* coef = new double [nr] ;
126  double* auxi = new double[1] ;
127 
128  bool odd_theta = false ;
129  double c_cos = 2 ;
130  switch (base_t) {
131  case T_COS_P : case T_COSSIN_CP :
132  break ;
133  case T_COS_I : case T_COSSIN_CI :
134  odd_theta = true ;
135  break ;
136  case T_COS : case T_COSSIN_C :
137  c_cos = 1. ;
138  break ;
139  default :
140  cout << "base_t cas non prevu dans Map_af::integrale_surface" << endl ;
141  abort() ;
142  break ;
143  }
144 
145  if (!odd_theta) {
146  for (int j=0 ; j<nt ; j++) {
147  for (int i=0 ; i<nr ; i++)
148  coef[i] = (*ci.va.c_cf)(l, 0, j, i) ;
149 
150  switch (base_r) {
151 
152  case R_CHEB :
153  som_r_cheb (coef, nr, 1, 1, xi, auxi) ;
154  break ;
155  case R_CHEBP :
156  som_r_chebp (coef, nr, 1, 1, xi, auxi) ;
157  break ;
158  case R_CHEBI :
159  som_r_chebi (coef, nr, 1, 1, xi, auxi) ;
160  break ;
161  case R_CHEBU :
162  som_r_chebu (coef, nr, 1, 1, xi, auxi) ;
163  break ;
164  case R_CHEBPI_P :
165  som_r_chebpi_p (coef, nr, 1, 1, xi, auxi) ;
166  break ;
167  case R_CHEBPI_I :
168  som_r_chebpi_i (coef, nr, 1, 1, xi, auxi) ;
169  break ;
170  case R_CHEBPIM_P :
171  som_r_chebpim_p (coef, nr, 1, 1, xi, auxi) ;
172  break ;
173  case R_CHEBPIM_I :
174  som_r_chebpim_i (coef, nr, 1, 1, xi, auxi) ;
175  break ;
176  case R_LEG :
177  som_r_leg (coef, nr, 1, 1, xi, auxi) ;
178  break ;
179  case R_LEGP :
180  som_r_legp (coef, nr, 1, 1, xi, auxi) ;
181  break ;
182  case R_LEGI :
183  som_r_legi (coef, nr, 1, 1, xi, auxi) ;
184  break ;
185  default :
186  som_r_pas_prevu (coef, nr, 1, 1, xi, auxi) ;
187  break ;
188  }
189  result += 2 * (*auxi)/(1-c_cos*c_cos*j*j) ;
190  if (c_cos == 1.) j++ ;
191  }
192  }
193  delete [] auxi ;
194  delete [] coef ;
195 
196  switch (base_p) {
197  case P_COSSIN :
198  result *= 2*rayon*rayon*M_PI ;
199  break ;
200  case P_COSSIN_P :
201  result *= 2*rayon*rayon*M_PI ;
202  break ;
203  default :
204  cout << "base_p cas non prevu dans Map_af::integrale_surface" << endl ;
205  abort() ;
206  break ;
207  }
208 
209  return result ;
210 }
211 
212 
213 // Integrale a l'infini
214 double Map_af::integrale_surface_infini (const Cmp& ci) const {
215 
216  assert (ci.get_etat() != ETATNONDEF) ;
217  assert (ci.check_dzpuis(2));
218 
219  if (ci.get_etat() == ETATZERO)
220  return 0 ;
221 
222  assert (ci.get_etat() == ETATQCQ) ;
223 
224  int nz = ci.get_mp()->get_mg()->get_nzone() ;
225 
226  ci.va.coef() ;
227  int nr = get_mg()->get_nr(nz-1) ;
228  int nt = get_mg()->get_nt(nz-1) ;
229 
230  int base_r = ci.va.base.get_base_r(nz-1) ;
231  int base_t = ci.va.base.get_base_t(nz-1) ;
232  int base_p = ci.va.base.get_base_p(nz-1) ;
233 
234  double result = 0 ;
235  double* coef = new double [nr] ;
236  double* auxi = new double[1] ;
237 
238  bool odd_theta = false ;
239  double c_cos = 2. ;
240  switch (base_t) {
241  case T_COS_P : case T_COSSIN_CP :
242  break ;
243  case T_COS_I : case T_COSSIN_CI :
244  odd_theta = true ;
245  break ;
246  case T_COS : case T_COSSIN_C :
247  c_cos = 1. ;
248  break ;
249  default :
250  cout << "base_t cas non prevu dans Map_af::integrale_surface" << endl ;
251  abort() ;
252  break ;
253  }
254 
255  if (!odd_theta) {
256  for (int j=0 ; j<nt ; j++) {
257  for (int i=0 ; i<nr ; i++)
258  coef[i] = (*ci.va.c_cf)(nz-1, 0, j, i) ;
259 
260  switch (base_r) {
261  case R_CHEBU :
262  som_r_chebu (coef, nr, 1, 1, 1, auxi) ;
263  break ;
264  default :
265  som_r_pas_prevu (coef, nr, 1, 1, 1, auxi) ;
266  break ;
267  }
268  result += 2 * (*auxi)/(1-c_cos*c_cos*j*j) ;
269  if (c_cos == 1.) j++ ;
270  }
271  }
272  delete [] auxi ;
273  delete [] coef ;
274 
275  switch (base_p) {
276  case P_COSSIN :
277  result *= 2*M_PI ;
278  break ;
279  case P_COSSIN_P :
280  result *= 2*M_PI ;
281  break ;
282  default :
283  cout << "base_p cas non prevu dans Map_af::integrale_surface_infini" << endl ;
284  abort() ;
285  break ;
286  }
287 
288  return result ;
289 }
290 
291  //=============
292  // Scalar version
293  //===============
294 
295 double Map_af::integrale_surface (const Scalar& ci, double rayon) const {
296 
297  assert (ci.get_etat() != ETATNONDEF) ;
298  assert (rayon > 0) ;
299  if (ci.get_etat() == ETATZERO)
300  return 0 ;
301 
302  assert ( (ci.get_etat() == ETATQCQ) || (ci.get_etat() == ETATUN) ) ;
303 
304  int l ;
305  double xi ;
306  val_lx (rayon, 0, 0, l, xi) ;
307 
308  if (l == get_mg()->get_nzone()-1) {
309  ci.check_dzpuis(0) ;
310  }
311 
312  ci.get_spectral_va().coef() ;
313  int nr = get_mg()->get_nr(l) ;
314  int nt = get_mg()->get_nt(l) ;
315 
316  int base_r = ci.get_spectral_va().base.get_base_r(l) ;
317  int base_t = ci.get_spectral_va().base.get_base_t(l) ;
318  int base_p = ci.get_spectral_va().base.get_base_p(l) ;
319 
320  double result = 0 ;
321  double* coef = new double [nr] ;
322  double* auxi = new double[1] ;
323 
324  bool odd_theta = false ;
325  double c_cos = 2. ;
326 
327  switch (base_t) {
328  case T_COS_P : case T_COSSIN_CP :
329  break ;
330  case T_COS_I: case T_COSSIN_CI :
331  odd_theta = true ;
332  break ;
333  case T_COS : case T_COSSIN_C :
334  c_cos = 1. ;
335  break ;
336  default :
337  cout << "base_t cas non prevu dans Map_af::integrale_surface" << endl ;
338  abort() ;
339  break ;
340  }
341 
342  if (!odd_theta) {
343  for (int j=0 ; j<nt ; j++) {
344  for (int i=0 ; i<nr ; i++)
345  coef[i] = (*ci.get_spectral_va().c_cf)(l, 0, j, i) ;
346 
347  switch (base_r) {
348 
349  case R_CHEB :
350  som_r_cheb (coef, nr, 1, 1, xi, auxi) ;
351  break ;
352  case R_CHEBP :
353  som_r_chebp (coef, nr, 1, 1, xi, auxi) ;
354  break ;
355  case R_CHEBI :
356  som_r_chebi (coef, nr, 1, 1, xi, auxi) ;
357  break ;
358  case R_CHEBU :
359  som_r_chebu (coef, nr, 1, 1, xi, auxi) ;
360  break ;
361  case R_CHEBPI_P :
362  som_r_chebpi_p (coef, nr, 1, 1, xi, auxi) ;
363  break ;
364  case R_CHEBPI_I :
365  som_r_chebpi_i (coef, nr, 1, 1, xi, auxi) ;
366  break ;
367  case R_CHEBPIM_P :
368  som_r_chebpim_p (coef, nr, 1, 1, xi, auxi) ;
369  break ;
370  case R_CHEBPIM_I :
371  som_r_chebpim_i (coef, nr, 1, 1, xi, auxi) ;
372  break ;
373  case R_LEG :
374  som_r_leg (coef, nr, 1, 1, xi, auxi) ;
375  break ;
376  case R_LEGP :
377  som_r_legp (coef, nr, 1, 1, xi, auxi) ;
378  break ;
379  case R_LEGI :
380  som_r_legi (coef, nr, 1, 1, xi, auxi) ;
381  break ;
382  default :
383  som_r_pas_prevu (coef, nr, 1, 1, xi, auxi) ;
384  break ;
385  }
386  result += 2 * (*auxi)/(1-c_cos*c_cos*j*j) ;
387  if (c_cos == 1.) j++ ;
388  }
389  }
390 
391  delete [] auxi ;
392  delete [] coef ;
393 
394  switch (base_p) {
395  case P_COSSIN :
396  result *= 2*rayon*rayon*M_PI ;
397  break ;
398  case P_COSSIN_P :
399  result *= 2*rayon*rayon*M_PI ;
400  break ;
401  default :
402  cout << "base_p cas non prevu dans Map_af::integrale_surface" << endl ;
403  abort() ;
404  break ;
405  }
406 
407  return result ;
408 }
409 
410 
411 // Integrale a l'infini
412 double Map_af::integrale_surface_infini (const Scalar& ci) const {
413 
414  assert (ci.get_etat() != ETATNONDEF) ;
415  assert (ci.check_dzpuis(2));
416 
417  if (ci.get_etat() == ETATZERO)
418  return 0 ;
419 
420  assert ( (ci.get_etat() == ETATQCQ) || (ci.get_etat() == ETATUN) ) ;
421 
422  int nz = ci.get_mp().get_mg()->get_nzone() ;
423 
424  ci.get_spectral_va().coef() ;
425  int nr = get_mg()->get_nr(nz-1) ;
426  int nt = get_mg()->get_nt(nz-1) ;
427 
428  int base_r = ci.get_spectral_va().base.get_base_r(nz-1) ;
429  int base_t = ci.get_spectral_va().base.get_base_t(nz-1) ;
430  int base_p = ci.get_spectral_va().base.get_base_p(nz-1) ;
431 
432  double result = 0 ;
433  double* coef = new double [nr] ;
434  double* auxi = new double[1] ;
435 
436  bool odd_theta = false ;
437  double c_cos = 2. ;
438 
439  switch (base_t) {
440  case T_COS_P : case T_COSSIN_CP :
441  break ;
442  case T_COS_I: case T_COSSIN_CI :
443  odd_theta = true ;
444  break ;
445  case T_COS : case T_COSSIN_C :
446  c_cos = 1. ;
447  break ;
448  default :
449  cout << "base_t cas non prevu dans Map_af::integrale_surface" << endl ;
450  abort() ;
451  break ;
452  }
453 
454  if (!odd_theta) {
455  for (int j=0 ; j<nt ; j++) {
456  for (int i=0 ; i<nr ; i++)
457  coef[i] = (*ci.get_spectral_va().c_cf)(nz-1, 0, j, i) ;
458 
459  switch (base_r) {
460  case R_CHEBU :
461  som_r_chebu (coef, nr, 1, 1, 1, auxi) ;
462  break ;
463  default :
464  som_r_pas_prevu (coef, nr, 1, 1, 1, auxi) ;
465  break ;
466  }
467  result += 2 * (*auxi)/(1-c_cos*c_cos*j*j) ;
468  if (c_cos == 1.) j++ ;
469  }
470  }
471 
472  delete [] auxi ;
473  delete [] coef ;
474 
475  switch (base_p) {
476  case P_COSSIN :
477  result *= 2*M_PI ;
478  break ;
479  case P_COSSIN_P :
480  result *= 2*M_PI ;
481  break ;
482  default :
483  cout << "base_p cas non prevu dans Map_af::integrale_surface_infini" << endl ;
484  abort() ;
485  break ;
486  }
487 
488  return result ;
489 }
490 }
Lorene::Cmp::get_mp
const Map * get_mp() const
Returns the mapping.
Definition: cmp.h:901
Lorene::Valeur::c_cf
Mtbl_cf * c_cf
Coefficients of the spectral expansion of the function.
Definition: valeur.h:312
Lorene::Cmp
Component of a tensorial field *** DEPRECATED : use class Scalar instead ***.
Definition: cmp.h:446
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
P_COSSIN
#define P_COSSIN
dev. standart
Definition: type_parite.h:245
Lorene::Valeur::coef
void coef() const
Computes the coeffcients of *this.
Definition: valeur_coef.C:151
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
R_CHEBPI_I
#define R_CHEBPI_I
Cheb. pair-impair suivant l impair pour l=0.
Definition: type_parite.h:174
Lorene
Lorene prototypes.
Definition: app_hor.h:67
Lorene::Base_val::get_base_t
int get_base_t(int l) const
Returns the expansion basis for functions in the domain of index l (e.g.
Definition: base_val.h:414
Lorene::Map::get_mg
const Mg3d * get_mg() const
Gives the Mg3d on which the mapping is defined.
Definition: map.h:783
Lorene::Cmp::get_etat
int get_etat() const
Returns the logical state.
Definition: cmp.h:899
Lorene::Scalar
Tensor field of valence 0 (or component of a tensorial field).
Definition: scalar.h:393
T_COS
#define T_COS
dev. cos seulement
Definition: type_parite.h:196
R_LEGP
#define R_LEGP
base de Legendre paire (rare) seulement
Definition: type_parite.h:184
Lorene::Scalar::get_etat
int get_etat() const
Returns the logical state ETATNONDEF (undefined), ETATZERO (null) or ETATQCQ (ordinary).
Definition: scalar.h:560
R_LEGI
#define R_LEGI
base de Legendre impaire (rare) seulement
Definition: type_parite.h:186
Lorene::Base_val::get_base_r
int get_base_r(int l) const
Returns the expansion basis for r ( ) functions in the domain of index l (e.g.
Definition: base_val.h:403
T_COS_I
#define T_COS_I
dev. cos seulement, harmoniques impaires
Definition: type_parite.h:204
R_CHEBI
#define R_CHEBI
base de Cheb. impaire (rare) seulement
Definition: type_parite.h:170
R_CHEBP
#define R_CHEBP
base de Cheb. paire (rare) seulement
Definition: type_parite.h:168
T_COS_P
#define T_COS_P
dev. cos seulement, harmoniques paires
Definition: type_parite.h:200
T_COSSIN_C
#define T_COSSIN_C
dev. cos-sin alternes, cos pour m=0
Definition: type_parite.h:192
Lorene::Valeur::base
Base_val base
Bases on which the spectral expansion is performed.
Definition: valeur.h:315
Lorene::Mg3d::get_nzone
int get_nzone() const
Returns the number of domains.
Definition: grilles.h:465
Lorene::Base_val::get_base_p
int get_base_p(int l) const
Returns the expansion basis for functions in the domain of index l (e.g.
Definition: base_val.h:425
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
R_CHEBPIM_I
#define R_CHEBPIM_I
Cheb. pair-impair suivant m, impair pour m=0.
Definition: type_parite.h:178
R_CHEBPIM_P
#define R_CHEBPIM_P
Cheb. pair-impair suivant m, pair pour m=0.
Definition: type_parite.h:176
Lorene::Mg3d::get_nr
int get_nr(int l) const
Returns the number of points in the radial direction ( ) in domain no. l.
Definition: grilles.h:469
R_CHEBPI_P
#define R_CHEBPI_P
Cheb. pair-impair suivant l pair pour l=0.
Definition: type_parite.h:172
T_COSSIN_CI
#define T_COSSIN_CI
cos impair-sin pair alternes, cos pour m=0
Definition: type_parite.h:212
Lorene::Cmp::check_dzpuis
bool check_dzpuis(int dzi) const
Returns false if the last domain is compactified and *this is not zero in this domain and dzpuis is n...
Definition: cmp.C:718
Lorene::Mg3d::get_nt
int get_nt(int l) const
Returns the number of points in the co-latitude direction ( ) in domain no. l.
Definition: grilles.h:474
R_CHEBU
#define R_CHEBU
base de Chebychev ordinaire (fin), dev. en 1/r
Definition: type_parite.h:180
P_COSSIN_P
#define P_COSSIN_P
dev. sur Phi = 2*phi, freq. paires
Definition: type_parite.h:247
Lorene::Scalar::check_dzpuis
bool check_dzpuis(int dzi) const
Returns false if the last domain is compactified and *this is not zero in this domain and dzpuis is n...
Definition: scalar.C:879
T_COSSIN_CP
#define T_COSSIN_CP
cos pair-sin impair alternes, cos pour m=0
Definition: type_parite.h:208
Lorene::Tensor::get_mp
const Map & get_mp() const
Returns the mapping.
Definition: tensor.h:874
Lorene::Cmp::va
Valeur va
The numerical value of the Cmp.
Definition: cmp.h:464
Lorene::Scalar::get_spectral_va
const Valeur & get_spectral_va() const
Returns va (read only version)
Definition: scalar.h:607
R_LEG
#define R_LEG
base de Legendre ordinaire (fin)
Definition: type_parite.h:182
R_CHEB
#define R_CHEB
base de Chebychev ordinaire (fin)
Definition: type_parite.h:166