domain_bispheric_eta_first_export_tau_boundary_one_side.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_eta_first::export_tau_val_domain_boundary_one_side (const Val_domain& so, int bound, Array<double>& sec, int& pos_sec, int ncond) const {
    
    if (so.check_if_zero())
        pos_sec += ncond ;
    else {
    so.coef() ;
    
    Index pos (nbr_coefs) ;
    Index pos_galerkin (nbr_coefs) ;    
    int basep = (*so.get_base().bases_1d[2]) (0) ;
 
    if ((bound==ETA_MINUS_BC) || (bound==ETA_PLUS_BC)) {
    // Loop on phi :
    for (int k=0 ; k<nbr_coefs(2) ; k++) {
        pos.set(2) = k ;
        // Loop on chi :
        for (int i=0 ; i<nbr_coefs(0)-1 ; i++) {
            pos.set(0) = i ;
            switch (basep) {
                case COS :
                    // Avoid last odd ones 
                    if ((k%2!=1) || (i!=nbr_coefs(1)-2)) {
                        if ((k==0) || (k%2==1)) {
                            // The ones without regularity issues 
                            sec.set(pos_sec) = val_boundary (bound, so, pos) ;
                            pos_sec ++ ;
                        }
                        else if (i!=0) {
                            // Regularity on the axis thanks to Galerkin
                            // Factor fo Galerkin different for Legendre or Chebyshev:
                            double factor_galerkin ;
                            switch (type_base) {
                                case CHEB_TYPE :
                                    factor_galerkin = (i%2==1) ? -2. : 2. ;
                                    break ;
                                case LEG_TYPE :
                                    factor_galerkin = -double(4*i+1) ;
                                    for (int ii=1 ; ii<=i ; ii++)
                                        factor_galerkin *= -double(2*ii-1)/double(2*ii) ;
                                    break ;
                                default :
                    cerr << "Unknown type of basis in Domain_bispheric_eta_first::export_tau_val_domain_boundary_one_side" << endl ;
                                        abort() ;
                                }
                        pos_galerkin = pos ;
                        pos_galerkin.set(0) = 0 ;
                        sec.set(pos_sec) = val_boundary (bound, so, pos) + 
                                factor_galerkin * val_boundary (bound, so, pos_galerkin) ;
                        pos_sec ++ ;
                        }}
                        break ;
                    case SIN : 
                        // Avoid sin(0)
                        if ((k!=0) && (k!=nbr_coefs(2)-1))
                        //Avoid last odd ones
                        if ((k%2!=1) || (i!=nbr_coefs(1)-2)) {
                            if (k%2==1) {
                                // The ones without regularity issues 
                                sec.set(pos_sec) = val_boundary (bound, so, pos) ;
                                pos_sec ++ ;
                            }
                            else if (i!=0) {
                                // Regularity on the axis thanks to Galerkin
                                // Factor fo Galerkin different for Legendre or Chebyshev:
                                double factor_galerkin ;
                                switch (type_base) {
                                    case CHEB_TYPE :
                                        factor_galerkin = (i%2==1) ? -2. : 2. ;
                                        break ;
                                    case LEG_TYPE :
                                        factor_galerkin = -double(4*i+1) ;
                                        for (int ii=1 ; ii<=i ; ii++)
                                            factor_galerkin *= -double(2*ii-1)/double(2*ii) ;
                                        break ;
                                    default :
                        cerr << "Unknown type of basis in Domain_bispheric_eta_first::export_tau_val_domain_boundary_one_side" << endl ;
                                        abort() ;
                                }
                            pos_galerkin = pos ;
                            pos_galerkin.set(0) = 0 ;
                            sec.set(pos_sec) = val_boundary (bound, so, pos) +
                                factor_galerkin * val_boundary (bound, so, pos_galerkin) ;
                            pos_sec ++ ;
                        }}
                        break ; 
                    default :
                        cerr << "Unknown base in Domain_bispheric_eta_first::export_tau_val_domain_boundary_one_side" << endl ;
                    break ;
                }
            }
        }
    }
 
    if (bound==OUTER_BC) {
        for (int k=0 ; k<nbr_coefs(2) ; k++) {
            pos.set(2) = k ;
            if ((basep==COS) || ((k!=0) && (k!=nbr_coefs(2)-1)))
                for (int j=0 ; j<nbr_coefs(1) ; j++) {
                    pos.set(1) = j ;
                    sec.set(pos_sec) = val_boundary (bound, so, pos) ;
                    pos_sec ++ ;
            }
        }
    }
  }
}
 
void Domain_bispheric_eta_first::export_tau_boundary_one_side (const Tensor& tt, int dom, int bound, Array<double>& res, int& pos_res, const Array<int>& ncond,
                                        int n_cmp, Array<int>** p_cmp) const {
 
    // Check boundary
    if ((bound!=ETA_MINUS_BC) && (bound!=ETA_PLUS_BC) && (bound!=OUTER_BC)) {
        cerr << "Unknown boundary in Domain_bispheric_eta_first::export_tau_boundary_one_side" << endl ;
        abort() ;
    }
 
    int val = tt.get_valence() ;
    switch (val) {
        case 0 :
            export_tau_val_domain_boundary_one_side (tt()(dom), bound, res, pos_res, ncond(0)) ;
            break ;
        case 1 : {
            bool found = false ;
            // Cartesian basis
            if (tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) {
                if (n_cmp==-1) {
                    export_tau_val_domain_boundary_one_side (tt(1)(dom),  bound, res, pos_res, ncond(0)) ;
                    export_tau_val_domain_boundary_one_side (tt(2)(dom), bound,  res, pos_res, ncond(1)) ;
                    export_tau_val_domain_boundary_one_side (tt(3)(dom),  bound, res, pos_res, ncond(2)) ;
                }
                else for (int i=0 ; i<n_cmp ; i++) {
                    if ((*p_cmp[i])(0)==1)
                        export_tau_val_domain_boundary_one_side (tt(1)(dom),  bound, res, pos_res, ncond(i)) ;
                    if ((*p_cmp[i])(0)==2)
                        export_tau_val_domain_boundary_one_side (tt(2)(dom),  bound, res, pos_res, ncond(i)) ;
                    if ((*p_cmp[i])(0)==3)
                        export_tau_val_domain_boundary_one_side (tt(3)(dom),  bound, res, pos_res, ncond(i)) ;
                }
                found = true ;
            }
            if (!found) {
                cerr << "Unknown type of vector Domain_bispheric_eta_first::export_tau_boundary_one_side" << 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)) {
                if (n_cmp==-1) {
                    export_tau_val_domain_boundary_one_side (tt(1,1)(dom),  bound, res, pos_res, ncond(0)) ;
                    export_tau_val_domain_boundary_one_side (tt(1,2)(dom),  bound, res, pos_res, ncond(1)) ;
                    export_tau_val_domain_boundary_one_side (tt(1,3)(dom),  bound, res, pos_res, ncond(2)) ;
                    export_tau_val_domain_boundary_one_side (tt(2,2)(dom),  bound, res, pos_res, ncond(3)) ;
                    export_tau_val_domain_boundary_one_side (tt(2,3)(dom),  bound, res, pos_res, ncond(4)) ;
                    export_tau_val_domain_boundary_one_side (tt(3,3)(dom), bound,  res, pos_res, ncond(5)) ;
                }
                else for (int i=0 ; i<n_cmp ; i++) {
                    if (((*p_cmp[i])(0)==1) && ((*p_cmp[i])(1)==1))
                        export_tau_val_domain_boundary_one_side (tt(1, 1)(dom), bound,  res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==1) && ((*p_cmp[i])(1)==2))
                        export_tau_val_domain_boundary_one_side (tt(1, 2)(dom), bound,  res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==1) && ((*p_cmp[i])(1)==3))
                        export_tau_val_domain_boundary_one_side (tt(1, 3)(dom),  bound, res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==2) && ((*p_cmp[i])(1)==2))
                        export_tau_val_domain_boundary_one_side (tt(2, 2)(dom),  bound, res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==2) && ((*p_cmp[i])(1)==3))
                        export_tau_val_domain_boundary_one_side (tt(2, 3)(dom),  bound, res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==3) && ((*p_cmp[i])(1)==3))
                        export_tau_val_domain_boundary_one_side (tt(3, 3)(dom),  bound, res, pos_res, ncond(i)) ;
                }
                found = true ;
            }
            // Cartesian basis and not symetric
            if ((tt.get_basis().get_basis(dom)==CARTESIAN_BASIS) && (tt.get_n_comp()==9)) {
                if (n_cmp==-1) {
                    export_tau_val_domain_boundary_one_side (tt(1,1)(dom),  bound, res, pos_res, ncond(0)) ;
                    export_tau_val_domain_boundary_one_side (tt(1,2)(dom),  bound, res, pos_res, ncond(1)) ;
                    export_tau_val_domain_boundary_one_side (tt(1,3)(dom),  bound, res, pos_res, ncond(2)) ;
                    export_tau_val_domain_boundary_one_side (tt(2,1)(dom),  bound, res, pos_res, ncond(3)) ;
                    export_tau_val_domain_boundary_one_side (tt(2,2)(dom),  bound, res, pos_res, ncond(4)) ;
                    export_tau_val_domain_boundary_one_side (tt(2,3)(dom), bound,  res, pos_res, ncond(5)) ;
                    export_tau_val_domain_boundary_one_side (tt(3,1)(dom),  bound, res, pos_res, ncond(6)) ;
                    export_tau_val_domain_boundary_one_side (tt(3,2)(dom),  bound, res, pos_res, ncond(7)) ;
                    export_tau_val_domain_boundary_one_side (tt(3,3)(dom), bound,  res, pos_res, ncond(8)) ;
                    
                }
                else for (int i=0 ; i<n_cmp ; i++) {
                    if (((*p_cmp[i])(0)==1) && ((*p_cmp[i])(1)==1))
                        export_tau_val_domain_boundary_one_side (tt(1, 1)(dom), bound,  res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==1) && ((*p_cmp[i])(1)==2))
                        export_tau_val_domain_boundary_one_side (tt(1, 2)(dom), bound,  res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==1) && ((*p_cmp[i])(1)==3))
                        export_tau_val_domain_boundary_one_side (tt(1, 3)(dom),  bound, res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==2) && ((*p_cmp[i])(1)==1))
                        export_tau_val_domain_boundary_one_side (tt(2, 1)(dom), bound,  res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==2) && ((*p_cmp[i])(1)==2))
                        export_tau_val_domain_boundary_one_side (tt(2, 2)(dom),  bound, res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==2) && ((*p_cmp[i])(1)==3))
                        export_tau_val_domain_boundary_one_side (tt(2, 3)(dom),  bound, res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==3) && ((*p_cmp[i])(1)==1))
                        export_tau_val_domain_boundary_one_side (tt(3, 1)(dom), bound,  res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==3) && ((*p_cmp[i])(1)==2))
                        export_tau_val_domain_boundary_one_side (tt(3, 2)(dom),  bound, res, pos_res, ncond(i)) ;
                    if (((*p_cmp[i])(0)==3) && ((*p_cmp[i])(1)==3))
                        export_tau_val_domain_boundary_one_side (tt(3, 3)(dom),  bound, res, pos_res, ncond(i)) ;
                }
                found = true ;
            }
            if (!found) {
                cerr << "Unknown type of 2-tensor Domain_bispheric_eta_first::export_tau_boundary_one_side" << endl ;
                abort() ;
            }
        }
            break ;
        default :
            cerr << "Valence " << val << " not implemented in Domain_bispheric_eta_first::export_tau_boundary_one_side" << endl ;
            break ;
    }
}
}