LORENE
map_log_radius.C
1 /*
2  * Methods of the class Map_log relative to the function
3  * r = R_l(xi, theta', phi')
4  */
5 
6 /*
7  * Copyright (c) 2004 Philippe Grandclement
8  *
9  * This file is part of LORENE.
10  *
11  * LORENE is free software; you can redistribute it and/or modify
12  * it under the terms of the GNU General Public License as published by
13  * the Free Software Foundation; either version 2 of the License, or
14  * (at your option) any later version.
15  *
16  * LORENE is distributed in the hope that it will be useful,
17  * but WITHOUT ANY WARRANTY; without even the implied warranty of
18  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
19  * GNU General Public License for more details.
20  *
21  * You should have received a copy of the GNU General Public License
22  * along with LORENE; if not, write to the Free Software
23  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
24  *
25  */
26 
27 
28 char map_log_radius_C[] = "$Header: /cvsroot/Lorene/C++/Source/Map/map_log_radius.C,v 1.4 2014/10/13 08:53:06 j_novak Exp $" ;
29 
30 /*
31  * $Id: map_log_radius.C,v 1.4 2014/10/13 08:53:06 j_novak Exp $
32  * $Log: map_log_radius.C,v $
33  * Revision 1.4 2014/10/13 08:53:06 j_novak
34  * Lorene classes and functions now belong to the namespace Lorene.
35  *
36  * Revision 1.3 2014/10/06 15:13:13 j_novak
37  * Modified #include directives to use c++ syntax.
38  *
39  * Revision 1.2 2004/06/22 12:20:17 j_novak
40  * *** empty log message ***
41  *
42  * Revision 1.1 2004/06/22 08:49:58 p_grandclement
43  * Addition of everything needed for using the logarithmic mapping
44  *
45  *
46  * $Header: /cvsroot/Lorene/C++/Source/Map/map_log_radius.C,v 1.4 2014/10/13 08:53:06 j_novak Exp $
47  *
48  */
49 
50 #include <cmath>
51 
52 // Headers Lorene
53 #include "map.h"
54 
55  //------------------------------//
56  // val_r //
57  //------------------------------//
58 
59 
60 namespace Lorene {
61 double Map_log::val_r(int l, double xi, double, double) const {
62 
63  assert( l>=0 ) ;
64  assert( l<mg->get_nzone() ) ;
65 
66  double resu ;
67 
68  switch (type_var(l)) {
69  case AFFINE : {
70 
71  switch( mg->get_type_r(l) ) {
72  case FIN: case RARE: {
73  resu = alpha(l) * xi + beta(l) ;
74  break ;
75  }
76 
77  case UNSURR: {
78  resu = double(1) / ( alpha(l) * xi + beta(l) ) ;
79  break ;
80  }
81 
82  default: {
83  cout << "Map_log::val_r: unknown type_r ! " << endl ;
84  abort () ;
85  }
86  }
87  break ;
88  }
89 
90  case LOG : {
91  switch( mg->get_type_r(l) ) {
92  case FIN: {
93  resu = exp(alpha(l) * xi + beta(l)) ;
94  break ;
95  }
96 
97  default: {
98  cout << "Map_log::val_r: unknown type_r ! " << endl ;
99  abort () ;
100  }
101  }
102  break ;
103  }
104 
105  default: {
106  cout << "Map_log::val_r: unknown type_r ! " << endl ;
107  abort () ;
108  }
109  }
110 
111  return resu ;
112 }
113 
114  //------------------------------//
115  // val_lx //
116  //------------------------------//
117 
118 void Map_log::val_lx(double rr, double, double, int& lz, double& xi) const {
119 
120  // In which domain is located r ?
121  // ----------------------------
122  int nz = mg->get_nzone() ;
123  lz = - 1 ;
124 
125  for (int l=0; l<nz; l++) {
126 
127  double rmax = 0;
128  switch (type_var(l)) {
129  case AFFINE : {
130  rmax = alpha(l) + beta(l) ;
131  break ;
132  }
133  case LOG : {
134  rmax = exp(alpha(l) + beta(l)) ;
135  break ;
136  }
137  default : {
138  cout << "Case unknown in Map_log::val_lx" << endl ;
139  break ;
140  }
141  }
142 
143  if (mg->get_type_r(l) == UNSURR) rmax = double(1)/rmax ;
144 
145  if ( rr <= rmax ) {
146  lz = l ;
147  break ;
148  }
149  } // fin de la boucle sur les zones
150 
151  if (lz == -1) { // On n'a pas trouve la zone
152  cout.precision(16);
153  cout.setf(ios::showpoint);
154  cout << "Map_log::val_lx: the domain containing r = " << rr <<
155  " has not been found ! "
156  << endl ;
157  abort () ;
158  }
159 
160  // Computation of xi
161  // -----------------
162 
163  switch (type_var(lz)) {
164  case AFFINE: {
165  switch( mg->get_type_r(lz) ) {
166  case FIN: case RARE: {
167  xi = ( rr - beta(lz) ) / alpha(lz) ;
168  break ;
169  }
170 
171  case UNSURR: {
172  xi = ( double(1)/rr - beta(lz) ) / alpha(lz) ;
173  break ;
174  }
175 
176  default: {
177  cout << "Map_log::val_lx: unknown type_r ! " << endl ;
178  abort () ;
179  }
180  }
181  break ;
182  }
183  case LOG :{
184  switch( mg->get_type_r(lz) ) {
185  case FIN: {
186  xi = ( log(rr) - beta(lz) ) / alpha(lz) ;
187  break ;
188  }
189  default: {
190  cout << "Map_log::val_lx: unknown type_r ! " << endl ;
191  abort () ;
192  }
193  }
194  break ;
195  }
196  default : {
197  cout << "Map_log::val_lx: unknown type_r ! " << endl ;
198  abort () ;
199  }
200  }
201 }
202 
203 
204 void Map_log::val_lx(double rr, double, double, const Param&,
205  int& lz, double& xi) const {
206 
207  val_lx(rr, 0., 0., lz, xi) ;
208 
209 }
210 
211 
212  //------------------------------//
213  // val_r_jk //
214  //------------------------------//
215 
216 
217 double Map_log::val_r_jk(int l, double xi, int, int) const {
218 
219  return val_r(l, xi, 0., 0.) ;
220 
221 }
222 
223  //------------------------------//
224  // val_lx_jk //
225  //------------------------------//
226 
227 void Map_log::val_lx_jk(double rr, int, int, const Param& par,
228  int& l, double& xi) const {
229 
230  val_lx(rr, 0., 0., par, l, xi) ;
231 
232 }
233 
234 
235 }
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:217
Lorene::Map_log::beta
Tbl beta
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:3591
Lorene::log
Cmp log(const Cmp &)
Neperian logarithm.
Definition: cmp_math.C:296
Lorene::exp
Cmp exp(const Cmp &)
Exponential.
Definition: cmp_math.C:270
Lorene
Lorene prototypes.
Definition: app_hor.h:64
Lorene::Mg3d::get_type_r
int get_type_r(int l) const
Returns the type of sampling in the radial direction in domain no.
Definition: grilles.h:474
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:227
Lorene::Map_log::alpha
Tbl alpha
Array (size: mg->nzone ) of the values of in each domain.
Definition: map.h:3589
Lorene::Mg3d::get_nzone
int get_nzone() const
Returns the number of domains.
Definition: grilles.h:448
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:118
Lorene::Param
Parameter storage.
Definition: param.h:125
Lorene::Map_log::type_var
Itbl type_var
Array (size: mg->nzone ) of the type of variable in each domain.
Definition: map.h:3595
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:61
Lorene::Map::mg
const Mg3d * mg
Pointer on the multi-grid Mgd3 on which this is defined
Definition: map.h:676