domain_shell_outer_adapted_nbr_unknowns.cpp

/*
    Copyright 2017 Philippe Grandclement
 
    This file is part of Kadath.
 
    Kadath is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.
 
    Kadath is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.
 
    You should have received a copy of the GNU General Public License
    along with Kadath.  If not, see <http://www.gnu.org/licenses/>.
*/
 
#include "headcpp.hpp"
#include "adapted.hpp"
#include "point.hpp"
#include "array_math.hpp"
#include "scalar.hpp"
#include "tensor_impl.hpp"
#include "tensor.hpp"
 
namespace Kadath {
int Domain_shell_outer_adapted::nbr_unknowns_val_domain (const Val_domain& so, int mlim) const {
    
    int res = 0 ;
    int kmin = 2*mlim + 2 ;
 
    Index pos (nbr_coefs) ;
    do {
        bool indic = true ;
        // True coef in phi ?
        if ((pos(2)==1) || (pos(2)==nbr_coefs(2)-1))
            indic = false ;
        // Get base in theta :
        int baset = (*so.get_base().bases_1d[1]) (pos(2)) ;
        switch (baset) {
                    case COS_EVEN:
                        if ((pos(1)==0) && (pos(2)>=kmin))
                            indic = false ;
                        break ;
                    case COS_ODD:
                        if ((pos(1)==nbr_coefs(1)-1) || ((pos(1)==0) && (pos(2)>=kmin)))
                            indic = false ;
                        break ;
                    case SIN_EVEN:
                        if (((pos(1)==1)&&(pos(2)>=kmin+2)) || (pos(1)==0) || (pos(1)==nbr_coefs(1)-1)) 
                            indic = false  ;
                        break ;
                    case SIN_ODD:
                        if (((pos(1)==0)&&(pos(2)>=kmin+2)) || (pos(1)==nbr_coefs(1)-1))
                            indic = false ;
                        break ;
                    default:
                        cerr << "Unknow theta basis in Domain_shell_outer_adapted::nbr_unknowns_val_domain" << endl ;
                        abort() ;
        }
        if (indic)
            res ++ ;
    }
    while (pos.inc()) ;
 
    return res ;
}
 
int Domain_shell_outer_adapted::nbr_unknowns (const Tensor& tt, int dom) const {
 
    // Check right domain
    assert (tt.get_space().get_domain(dom)==this) ;
 
    int res = 0 ;
    int val = tt.get_valence() ;
    switch (val) {
        case 0 :
            res += nbr_unknowns_val_domain (tt()(dom), 0) ;
            break ;
        case 1 : {
            bool found = false ;
            // Cartesian basis
            if (tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) {
                res += nbr_unknowns_val_domain (tt(1)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(2)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(3)(dom), 0) ;
                found = true ;
            }
            // Spherical coordinates
            if (tt.get_basis().get_basis(dom)==SPHERICAL_BASIS) {
                res += nbr_unknowns_val_domain (tt(1)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(2)(dom), 1) ;
                res += nbr_unknowns_val_domain (tt(3)(dom), 1) ;
                found = true ;
            }
            if (!found) {
                cerr << "Unknown type of vector Domain_shell_outer_adapted::nbr_unknowns" << endl ;
                abort() ;
            }
        }
            break ;
        case 2 : {
            bool found = false ;
            // Cartesian basis and symetric
            if ((tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) && (tt.get_n_comp()==6)) {
                res += nbr_unknowns_val_domain (tt(1,1)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(1,2)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(1,3)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(2,2)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(2,3)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(3,3)(dom), 0) ;
                found = true ;
            }
            // Cartesian basis and not symetric
            if ((tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) && (tt.get_n_comp()==9)) {
                for (int i=1 ; i<=3 ; i++)
                  for (int j=1 ; j<=3 ; j++)
                    res += nbr_unknowns_val_domain (tt(i,j)(dom), 0) ;
                found = true ;
            }
            // Spherical coordinates and symetric
            if ((tt.get_basis().get_basis(dom)==SPHERICAL_BASIS) && (tt.get_n_comp()==6)) {
                res += nbr_unknowns_val_domain (tt(1,1)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(1,2)(dom), 1) ;
                res += nbr_unknowns_val_domain (tt(1,3)(dom), 1) ;
                res += nbr_unknowns_val_domain (tt(2,2)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(2,3)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(3,3)(dom), 2) ;
                found = true ;
            }
            // Spherical coordinates and not symetric
            if ((tt.get_basis().get_basis(dom)==SPHERICAL_BASIS) && (tt.get_n_comp()==9)) {
                res += nbr_unknowns_val_domain (tt(1,1)(dom), 0) ;
                res += nbr_unknowns_val_domain (tt(1,2)(dom), 1) ;
                res += nbr_unknowns_val_domain (tt(1,3)(dom), 1) ;
                res += nbr_unknowns_val_domain (tt(2,1)(dom), 1) ;
                res += nbr_unknowns_val_domain (tt(2,2)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(2,3)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(3,1)(dom), 1) ;
                res += nbr_unknowns_val_domain (tt(3,2)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(3,3)(dom), 2) ;
                found = true ;
            }
            if (!found) {
                cerr << "Unknown type of 2-tensor Domain_shell_outer_adapted::nbr_unknowns" << endl ;
                abort() ;
            }
        }
        break ;
        default :
            cerr << "Valence " << val << " not implemented in Domain_shell_outer_adapted::nbr_unknowns" << endl ;
            break ;
    }
    return res ;
}
}