domain_fourD_periodic_shell_ope.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 "fourD_periodic.hpp"
#include "val_domain.hpp"
#include "array_math.hpp"
namespace Kadath {
int mult_cos_1d (int, Array<double>&) ;
int mult_sin_1d (int, Array<double>&) ;
int div_sin_1d (int, Array<double>&) ;
int div_xm1_1d (int, Array<double>&) ;
 
Val_domain Domain_fourD_periodic_shell::mult_cos_phi (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(this) ;
 
    res.base = so.base ;
    res.cf = new Array<double> (so.base.ope_1d(mult_cos_1d, 2, *so.cf, res.base)) ;
    res.in_coef = true ;
    return res ;
}
 
Val_domain Domain_fourD_periodic_shell::mult_sin_phi (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(this) ;
 
    res.base = so.base ;
    res.cf = new Array<double> (so.base.ope_1d(mult_sin_1d, 2, *so.cf, res.base)) ;
    res.in_coef = true ;
    return res ;
}
 
Val_domain Domain_fourD_periodic_shell::mult_cos_theta (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(this) ;
    res.base = so.base ;
    res.cf = new Array<double> (so.base.ope_1d(mult_cos_1d, 1, *so.cf, res.base)) ;
    res.in_coef = true ;
    return res ;
}
 
Val_domain Domain_fourD_periodic_shell::mult_sin_theta (const Val_domain& so) const {
 
    so.coef() ;
    Val_domain res(this) ;
 
    res.base= so.base ;
    res.cf = new Array<double> (so.base.ope_1d(mult_sin_1d, 1, *so.cf, res.base)) ;
    res.in_coef = true ;    
    return res ;
}
 
 
Val_domain Domain_fourD_periodic_shell::div_sin_theta (const Val_domain& so) const {
 
    so.coef() ;
    Val_domain res(this) ;
 
    res.base= so.base ;
    res.cf = new Array<double> (so.base.ope_1d(div_sin_1d, 1, *so.cf, res.base)) ;
    res.in_coef = true ;    
    return res ;
}
 
Val_domain Domain_fourD_periodic_shell::div_xm1 (const Val_domain& so) const {
    so.coef() ;
    Val_domain res(this) ;
 
    res.base= so.base ;
    
    res.cf = new Array<double> (so.base.ope_1d(div_xm1_1d, 0, *so.cf, res.base)) ;
    res.in_coef = true ;
    return res ;
}
 
 
Array<double> Domain_fourD_periodic_shell::integ_outer_boundary (const Val_domain& so) const {
   
   int ntime = get_nbr_coefs()(3) ;
   Array<double> res(ntime);
   res = 0. ;
   so.coef();
 
   for (int l=0 ; l<ntime ; l++) {
 
    int baset((*so.base.bases_1d[1])(0,l));
    if (baset == COS_EVEN) {
     
        //Loop on theta :
        Index pos(get_nbr_coefs());
        pos.set(2) = 0;
        pos.set(3) = l ;
    for (int j(0) ; j < nbr_coefs(1) ; ++j) 
      {
         pos.set(1) = j;
         double fact_tet(2.0/(1.0 - 4.0*j*j));
         // Loop on r :
         for (int i(0) ; i < nbr_coefs(0) ; ++i) 
         {
            pos.set(0) = i;
            res.set(l) += fact_tet*(*so.cf)(pos);
         }
    }
      res.set(l) *= 2.0*M_PI;
   }
}
 return res ;
}
 
}