domain_bispheric_rect_systems.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 "bispheric.hpp"
#include "array_math.hpp"
#include "param.hpp"
#include "val_domain.hpp"
 
namespace Kadath {
void Domain_bispheric_rect::find_other_dom (int dom, int bound, int& other_dom, int& other_bound) const {   
    switch (bound) {
        case CHI_ONE_BC :
            if (eta_minus<0)
                other_dom =  dom-1 ;
            else
                other_dom = dom+1 ;
            other_bound = CHI_ONE_BC ;
            break ;
        case ETA_PLUS_BC :
              if (eta_minus<0) {
            other_dom =  dom + 1 ;
            other_bound = ETA_MINUS_BC ;
              }
              else {
                  other_dom = dom -1 ;
                  other_bound = ETA_PLUS_BC ;
              }
              break ;
        default:
            cerr << "Unknown boundary case in Domain_bispheric_rect::find_other_dom" << endl ;
            abort() ;
        }
}
 
double Domain_bispheric_rect::val_boundary (int bound, const Val_domain& so, const Index& pos_cf) const {
 
    if (so.check_if_zero())
        return 0. ;
    
    else {
    so.coef() ;
    double res = 0 ;
    Index copie_pos (pos_cf) ;
    switch (bound) {
        case INNER_BC :
            for (int i=0 ; i<nbr_coefs(0) ; i++) {
                copie_pos.set(0) = i ;
                if (i%2==0)
                    res += so.get_coef(copie_pos) ;
                else
                    res -= so.get_coef(copie_pos) ;
            }
            break ;
        case ETA_PLUS_BC :
            for (int i=0 ; i<nbr_coefs(0) ; i++) {
                copie_pos.set(0) = i ;
                res += so.get_coef(copie_pos) ;
                }
            break ;
        case CHI_ONE_BC :
            for (int j=0 ; j<nbr_coefs(1) ; j++) {
                copie_pos.set(1) = j ;
                res += so.get_coef(copie_pos) ;
            }
            break ;
        case OUTER_BC : 
            for (int j=0 ; j<nbr_coefs(1) ; j++) {
                copie_pos.set(1) = j ;
                for (int i=0 ; i<nbr_coefs(0) ; i++) {
                    copie_pos.set(0) = i ;
                    res += so.get_coef(copie_pos) ;
                }
            }
            break ;
        default :
            cerr << "Unknown boundary type in Domain_bispheric_rect::val_boundary" << endl ;
            abort() ;
    }
    return res ;
    }
}
 
int Domain_bispheric_rect::nbr_points_boundary (int bound, const Base_spectral& bb) const {
    int basep = (*bb.bases_1d[2]) (0) ;
    int nbrphi = (basep==COS) ? nbr_points(2) : nbr_points(2)-2 ;
    int res ;
    switch (bound) {
        case INNER_BC :
            res = nbrphi * (nbr_points(1)-1)  ; 
            if (basep==COS)
                res ++ ;
            break ;
        case OUTER_BC : 
            res = nbrphi ;
            break ;
        default :
            cerr << "Domain_bispheric_rect::nbr_points_boundary not yet implemented for boundary " << bound << endl ;
            abort() ;
        }
 
    return res ;
}
 
void Domain_bispheric_rect::do_which_points_boundary (int bound, const Base_spectral& bb, Index** which_coef, int start) const {
    int pos_which = start ;
    Index pos (nbr_points) ;
    int basep = (*bb.bases_1d[2]) (0) ;
    //Look at the symetrie :
    int mink = (basep==COS) ? 0 : 1 ;
    int maxk = (basep==COS) ? nbr_points(2) : nbr_points(2)-1 ;
    int k,j ;
    switch (bound) {
        case INNER_BC :
            pos.set(0) = 0 ;
            if (basep==COS) {
                pos.set(2) = 0 ;
                pos.set(1) = 0 ;
                which_coef[pos_which] = new Index(pos) ;
                pos_which ++ ;
            }
            for (k=mink ; k<maxk ; k++) {
                pos.set(2) = k ;
                for (j=1 ; j<nbr_points(1) ; j++) {
                    pos.set(1) = j ;
                    which_coef[pos_which] = new Index(pos) ;
                    pos_which ++ ;
                }
            }
            break ;
        case OUTER_BC :
            pos.set(0) = nbr_points(0)-1 ;
            pos.set(1) = nbr_points(1)-1 ;
            for (k=mink ; k<maxk ; k++) {
                pos.set(2) = k ;
                which_coef[pos_which] = new Index(pos) ;
                pos_which ++ ;
            }
            break ;
        default :
            cerr << "Unknown boundary in Domain_bispheric_rect::do_which_points_inside" << endl ;
            abort() ;
    }
}
}