domain_polar_periodic_nucleus_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 "polar_periodic.hpp"
#include "point.hpp"
#include "array_math.hpp"
#include "scalar.hpp"
#include "tensor_impl.hpp"
#include "tensor.hpp"
 
namespace Kadath {
int Domain_polar_periodic_nucleus::nbr_unknowns_val_domain (const Val_domain& so, int llim) const {
    
    int res = 0 ;
    Index pos (nbr_coefs) ;
    do {
        bool indic = true ;
 
        // Base in time
        int basetime = (*so.get_base().bases_1d[2]) (0) ;
        switch (basetime) {
                    case COS:
                        break ;
                    case SIN:
                        if ((pos(2)==0) || (pos(2)==nbr_coefs(2)-1))
                            indic = false ;
                        break ;
                    default:
                        cerr << "Unknow time basis in Domain_polar_polar_nucleus::nbr_unknowns_val_domain" << endl ;
                        abort() ;
        }
 
        // Get base in theta :
        int baset = (*so.get_base().bases_1d[1]) (pos(2)) ;
        int lquant ;
        switch (baset) {
                    case COS_EVEN:
                        lquant = 2*pos(1) ;
                        break ;
                    case COS_ODD:
                        if (pos(1)==nbr_coefs(1)-1)
                            indic = false ;
                        lquant = 2*pos(1)+1 ;
                        break ;
                    case SIN_EVEN:
                        if ((pos(1)==0) || (pos(1)==nbr_coefs(1)-1)) 
                            indic = false  ;
                        lquant = 2*pos(1) ;
                        break ;
                    case SIN_ODD:
                        if (pos(1)==nbr_coefs(1)-1)
                            indic = false ;
                        lquant = 2*pos(1)+1 ;
                        break ;
                    default:
                        cerr << "Unknow theta basis in Domain_polar_periodic_nucleus::nbr_unknowns_val_domain" << endl ;
                        abort() ;
        }
    
        if (indic) {        
 
        // Base in r :
        int baser = (*so.get_base().bases_1d[0]) (pos(1), pos(2)) ;
            switch (baser) {
        case CHEB_EVEN : 
            if ((pos(0)==0) && (lquant>llim))
                  indic = false ;
            break ;
            case LEG_EVEN : 
           if ((pos(0)==0) && (lquant>llim))
                  indic = false ;
            break ;
        case CHEB_ODD :  
             if (((pos(0)==0) && (lquant>llim)) || (pos(0) == nbr_coefs(0)-1))
                  indic = false ;
            break ;
        case LEG_ODD :
           if (((pos(0)==0) && (lquant>llim)) || (pos(0) == nbr_coefs(0)-1))
                  indic = false ;
            break ;
        default :
          cerr << "Unknown base in Domain_polar_periodic_nucleus::nbr_unknowns_val_domain" << endl ;
          abort() ;
    }
      }
 
        if (indic)
            res ++ ;
    }
    while (pos.inc()) ;
 
    return res ;
}
 
int Domain_polar_periodic_nucleus::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 :
            res += nbr_unknowns_val_domain (tt(1)(dom), 2) ;
            res += nbr_unknowns_val_domain (tt(2)(dom), 2) ;
            res += nbr_unknowns_val_domain (tt(3)(dom), 2) ;
            break ;
        case 2 :
            if (tt.get_n_comp()==6) {
                res += nbr_unknowns_val_domain (tt(1,1)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(1,2)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(1,3)(dom), 2) ;
                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) ;
            }
            else {
                res += nbr_unknowns_val_domain (tt(1,1)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(1,2)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(1,3)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(2,1)(dom), 2) ;
                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), 2) ;
                res += nbr_unknowns_val_domain (tt(3,2)(dom), 2) ;
                res += nbr_unknowns_val_domain (tt(3,3)(dom), 2) ;
            }
            break ;
        default :
            cerr << "Valence " << val << " not implemented in Domain_polar_periodic_nucleus::nbr_unknowns" << endl ;
            break ;
    }
    return res ;
}}