KADATH
domain_bispheric_rect_affecte_tau_one_coef.cpp
1 /*
2  Copyright 2017 Philippe Grandclement
3 
4  This file is part of Kadath.
5 
6  Kadath 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 3 of the License, or
9  (at your option) any later version.
10 
11  Kadath 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 Kadath. If not, see <http://www.gnu.org/licenses/>.
18 */
19 
20 #include "headcpp.hpp"
21 
22 #include "bispheric.hpp"
23 #include "scalar.hpp"
24 #include "tensor_impl.hpp"
25 #include "tensor.hpp"
26 namespace Kadath {
28 
29  int basep = (*so.get_base().bases_1d[2]) (0) ;
30 
31  so.is_zero = false ;
32  so.allocate_coef() ;
33  *so.cf=0. ;
34  Index pos_cf(nbr_coefs) ;
35 
36  bool found = false ;
37  do {
38  // Check if true :
39  bool indic = true ;
40  switch (basep) {
41  case COS :
42  // Last odd ones
43  if ((pos_cf(2)%2==1) && (pos_cf(1)==nbr_coefs(1)-1))
44  indic = false ;
45  // Regularity for even ones :
46  if ((pos_cf(2)!=0) && (pos_cf(2)%2==0) && (pos_cf(1)==0))
47  indic = false ;
48  break ;
49  case SIN :
50  // sin(0)
51  if ((pos_cf(2)==0) || (pos_cf(2)==nbr_coefs(2)-1))
52  indic = false ;
53  // Last odd ones :
54  if ((pos_cf(2)%2==1) && (pos_cf(1)==nbr_coefs(1)-1))
55  indic = false ;
56  // Regularity for even ones :
57  if ((pos_cf(2)%2==0) && (pos_cf(1)==0))
58  indic = false ;
59  break ;
60  default :
61  cerr << "Unknown phi basis in Domain_bispheric_rect::affecte_tau_val_domain" << endl ;
62  abort() ;
63  }
64 
65  if (indic) {
66  if (conte==cc) {
67  found = true ;
68  so.cf->set(pos_cf) = 1;
69  // Regularity on the axis :
70  if ((pos_cf(2)%2==0) && (pos_cf(2)!=0)) {
71  Index pos_galerkin (pos_cf) ;
72  pos_galerkin.set(1) = 0 ;
73  double valreg ;
74  int basechi = (*so.get_base().bases_1d[1])(pos_cf(2)) ;
75  switch (basechi) {
76  case CHEB_EVEN :
77  valreg = (pos_cf(1)%2==0) ? -1 : 1 ;
78  break ;
79  case LEG_EVEN :
80  valreg = 0.5 ;
81  for (int i=1 ; i<pos_cf(1) ; i++)
82  valreg *= - double(2*i+1)/double(2*i+2) ;
83  break ;
84  default :
85  cerr << "Unknown base in Domain_bispheric_rect::affecte_one_coef" << endl ;
86  abort() ;
87  }
88  so.cf->set(pos_galerkin) = valreg ;
89  }
90  }
91  else
92  so.cf->set(pos_cf) = 0. ;
93  conte ++ ;
94  }
95  }
96  while (pos_cf.inc()) ;
97 
98  // If not found put to zero :
99  if (!found)
100  so.set_zero() ;
101 }
102 
103 void Domain_bispheric_rect::affecte_tau_one_coef (Tensor& tt, int dom, int cc, int& pos_cf) const {
104 
105  // Check right domain
106  assert (tt.get_space().get_domain(dom)==this) ;
107 
108  int val = tt.get_valence() ;
109  switch (val) {
110  case 0 :
111  affecte_tau_one_coef_val_domain (tt.set().set_domain(dom), cc, pos_cf) ;
112  break ;
113  case 1 : {
114  bool found = false ;
115  // Cartesian basis
116  if (tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) {
117  affecte_tau_one_coef_val_domain (tt.set(1).set_domain(dom), cc, pos_cf) ;
118  affecte_tau_one_coef_val_domain (tt.set(2).set_domain(dom), cc, pos_cf) ;
119  affecte_tau_one_coef_val_domain (tt.set(3).set_domain(dom), cc, pos_cf) ;
120  found = true ;
121  }
122  if (!found) {
123  cerr << "Unknown type of vector Domain_bispheric_rect::affecte_tau_one_coef" << endl ;
124  abort() ;
125  }
126  }
127  break ;
128  case 2 : {
129  bool found = false ;
130  // Cartesian basis and symetric
131  if ((tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) && (tt.get_n_comp()==6)) {
132  affecte_tau_one_coef_val_domain (tt.set(1,1).set_domain(dom), cc, pos_cf) ;
133  affecte_tau_one_coef_val_domain (tt.set(1,2).set_domain(dom), cc, pos_cf) ;
134  affecte_tau_one_coef_val_domain (tt.set(1,3).set_domain(dom), cc, pos_cf) ;
135  affecte_tau_one_coef_val_domain (tt.set(2,2).set_domain(dom), cc, pos_cf) ;
136  affecte_tau_one_coef_val_domain (tt.set(2,3).set_domain(dom), cc, pos_cf) ;
137  affecte_tau_one_coef_val_domain (tt.set(3,3).set_domain(dom), cc, pos_cf) ;
138  found = true ;
139  }
140  // Cartesian basis and not symetric
141  if ((tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) && (tt.get_n_comp()==9)) {
142  affecte_tau_one_coef_val_domain (tt.set(1,1).set_domain(dom), cc, pos_cf) ;
143  affecte_tau_one_coef_val_domain (tt.set(1,2).set_domain(dom), cc, pos_cf) ;
144  affecte_tau_one_coef_val_domain (tt.set(1,3).set_domain(dom), cc, pos_cf) ;
145  affecte_tau_one_coef_val_domain (tt.set(2,1).set_domain(dom), cc, pos_cf) ;
146  affecte_tau_one_coef_val_domain (tt.set(2,2).set_domain(dom), cc, pos_cf) ;
147  affecte_tau_one_coef_val_domain (tt.set(2,3).set_domain(dom), cc, pos_cf) ;
148  affecte_tau_one_coef_val_domain (tt.set(3,1).set_domain(dom), cc, pos_cf) ;
149  affecte_tau_one_coef_val_domain (tt.set(3,2).set_domain(dom), cc, pos_cf) ;
150  affecte_tau_one_coef_val_domain (tt.set(3,3).set_domain(dom), cc, pos_cf) ;
151  found = true ;
152  }
153  if (!found) {
154  cerr << "Unknown type of 2-tensor Domain_bispheric_rect::affecte_tau_one_coef" << endl ;
155  abort() ;
156  }
157  }
158  break ;
159  default :
160  cerr << "Valence " << val << " not implemented in Domain_bispheric_rect::affecte_tau" << endl ;
161  break ;
162  }
163 }
164 }
reference set(const Index &pos)
Read/write of an element.
Definition: array.hpp:186
Bases_container bases_1d
Arrays containing the various basis of decomposition.
int get_basis(int nd) const
Read only the basis in a given domain.
Definition: base_tensor.hpp:93
void affecte_tau_one_coef_val_domain(Val_domain &so, int cc, int &pos_cf) const
Sets at most one coefficient of a Val_domain to 1.
virtual void affecte_tau_one_coef(Tensor &, int, int, int &) const
Sets at most one coefficient of a Tensor to 1.
Dim_array nbr_coefs
Number of coefficients.
Definition: space.hpp:66
Class that gives the position inside a multi-dimensional Array.
Definition: index.hpp:38
int & set(int i)
Read/write of the position in a given dimension.
Definition: index.hpp:72
bool inc(int increm, int var=0)
Increments the position of the Index.
Definition: index.hpp:99
Val_domain & set_domain(int)
Read/write of a particular Val_domain.
Definition: scalar.hpp:555
const Domain * get_domain(int i) const
returns a pointer on the domain.
Definition: space.hpp:1385
Tensor handling.
Definition: tensor.hpp:149
Scalar & set(const Array< int > &ind)
Returns the value of a component (read/write version).
Definition: tensor_impl.hpp:91
const Base_tensor & get_basis() const
Returns the vectorial basis (triad) on which the components are defined.
Definition: tensor.hpp:504
int get_n_comp() const
Returns the number of stored components.
Definition: tensor.hpp:514
int get_valence() const
Returns the valence.
Definition: tensor.hpp:509
const Space & get_space() const
Returns the Space.
Definition: tensor.hpp:499
Class for storing the basis of decompositions of a field and its values on both the configuration and...
Definition: val_domain.hpp:69
void set_zero()
Sets the Val_domain to zero (logical state to zero and arrays destroyed).
Definition: val_domain.cpp:223
void allocate_coef()
Allocates the values in the coefficient space and destroys the values in the configuration space.
Definition: val_domain.cpp:216
Array< double > * cf
Pointer on the Array of the values in the coefficients space.
Definition: val_domain.hpp:77
bool is_zero
Indicator used for null fields (for speed issues).
Definition: val_domain.hpp:74
const Base_spectral & get_base() const
Returns the basis of decomposition.
Definition: val_domain.hpp:122