domain_bispheric_chi_first_affecte_tau.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 "scalar.hpp"
#include "tensor_impl.hpp"
#include "tensor.hpp"
 
namespace Kadath {
void Domain_bispheric_chi_first::affecte_tau_val_domain (Val_domain& so, const Array<double>& values, int& conte) const {
 
    int basep = (*so.get_base().bases_1d[2]) (0) ;
 
    so.allocate_coef() ;
    *so.cf = 0. ;
    Index pos (nbr_coefs) ;
    do {    
 
        bool indic = true ;
        switch (basep) {
        case COS :
            // Last odd ones
            if ((pos(2)%2==1) && (pos(1)==nbr_coefs(1)-1))
                indic = false ;
            // Regularity for even ones :
            if ((pos(2)!=0) && (pos(2)%2==0) && (pos(1)==0))
                indic = false ;
            break ;
        case SIN :
            // sin(0)
            if ((pos(2)==0) || (pos(2)==nbr_coefs(2)-1))
                indic = false ;
            // Last odd ones :
            if ((pos(2)%2==1) && (pos(1)==nbr_coefs(1)-1))
                indic = false ;
            // Regularity for even ones :
            if ((pos(2)%2==0) && (pos(1)==0))
                indic = false ;
            break ;
        default :
            cerr << "Unknown phi basis in Domain_bispheric_chi_first::affecte_tau_val_domain" << endl ;
            abort() ;
        }
 
        if (indic) {
            so.cf->set(pos) = values(conte) ;
            conte ++ ;
        }
    }
    while (pos.inc()) ;
 
    // Regularity on the axis :
    // Loop on phi :
    for (int k=1 ; k<nbr_coefs(2); k++) {
        pos.set(2) = k ;
        int basechi = (*so.get_base().bases_1d[1])(k) ;
        if ((basechi==CHEB_EVEN) || (basechi==LEG_EVEN)) {
            // Regularity :
            for (int i=0 ; i<nbr_coefs(0) ; i++) {
                pos.set(0) = i ;
                double summ = 0 ;                   
                double val = 1 ;
                for (int j=1 ; j<nbr_coefs(1) ; j++) {
                    pos.set(1) = j ;
                    switch (basechi) {
                        case CHEB_EVEN :
                            val *= -1. ;
                            summ += val*(*so.cf)(pos) ;
                            break ;
                        case LEG_EVEN :
                            val *= - double(2*j-1)/double(2*j) ;
                            summ += val*(*so.cf)(pos) ;
                            break ;
                        default :
                            cerr << "Unknown base in Domain_bispheric_chi_first::affecte_tau_val_domain" << endl ;
                            abort() ;
                    }
                }
                pos.set(1) = 0 ;
                so.cf->set(pos) = -summ ;
            }
        }
    }
}
 
void Domain_bispheric_chi_first::affecte_tau (Tensor& tt, int dom, const Array<double>& cf, int& pos_cf) const {
 
    // Check right domain
    assert (tt.get_space().get_domain(dom)==this) ;
 
    int val = tt.get_valence() ;
    switch (val) {
        case 0 :
            affecte_tau_val_domain (tt.set().set_domain(dom), cf, pos_cf) ;
            break ;
        case 1 : {
            bool found = false ;
            // Cartesian basis
            if (tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) {
                affecte_tau_val_domain (tt.set(1).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(2).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(3).set_domain(dom), cf, pos_cf) ;
                found = true ;
            }
            if (!found) {
                cerr << "Unknown type of vector Domain_bispheric_chi_first::affecte_tau" << 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)) {
                affecte_tau_val_domain (tt.set(1,1).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(1,2).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(1,3).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(2,2).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(2,3).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(3,3).set_domain(dom), cf, pos_cf) ;
                found = true ;
            }
            // Cartesian basis and not symetric
            if ((tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) && (tt.get_n_comp()==9)) {
                affecte_tau_val_domain (tt.set(1,1).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(1,2).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(1,3).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(2,1).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(2,2).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(2,3).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(3,1).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(3,2).set_domain(dom), cf, pos_cf) ;
                affecte_tau_val_domain (tt.set(3,3).set_domain(dom), cf, pos_cf) ;
                found = true ;
            }
            if (!found) {
                cerr << "Unknown type of 2-tensor Domain_bispheric_chi_first::affecte_tau" << endl ;
                abort() ;
            }
        }
            break ;
        default :
            cerr << "Valence " << val << " not implemented in Domain_bispheric_chi_first::affecte_tau" << endl ;
            break ;
    }
}
}