scalar_calculus.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 "scalar.hpp"
#include "tensor_impl.hpp"
#include "vector.hpp"
namespace Kadath {
Vector Scalar::grad() const {
 
    Base_tensor base (espace, CARTESIAN_BASIS) ;
    Vector res(espace, COV, base) ;
    for (int i=0 ; i<ndim ; i++)
    res.set(i+1) = der_abs(i+1) ;
    return res ;
}
 
Scalar Scalar::div_r() const {
    Scalar res (*this, false) ;
    for (int dom=0 ; dom<ndom ; dom++)
        res.set_domain(dom) = val_zones[dom]->zone->div_r(*val_zones[dom]) ;
 
    return res ;
}
 
Scalar Scalar::mult_r() const {
    Scalar res (*this, false) ;
    for (int dom=0 ; dom<ndom ; dom++)
        res.set_domain(dom) = val_zones[dom]->zone->mult_r(*val_zones[dom]) ;
 
    return res ;
}
 
Scalar Scalar::div_rsint() const {
    Scalar res (*this, false) ;
    for (int dom=0 ; dom<ndom ; dom++) {
        Val_domain auxi (val_zones[dom]->zone->div_r(*val_zones[dom])) ;
        res.set_domain(dom) = auxi.div_sin_theta() ;
    }
    return res ;
}
 
Scalar Scalar::div_1mx2() const 
{
   Scalar res (*this, false) ;
   for (int dom(0) ; dom < ndom ; ++dom) 
   {
      res.set_domain(dom) = operator()(dom).div_1mx2();
   }
   return res ;
}
 
Scalar Scalar::mult_cos_theta() const 
{
   Scalar res (*this, false) ;
   for (int dom(0) ; dom < ndom ; ++dom) 
      res.set_domain(dom) = operator()(dom).mult_cos_theta();
   return res ;
}
 
Scalar Scalar::mult_sin_theta() const 
{
   Scalar res (*this, false) ;
   for (int dom(0) ; dom < ndom ; ++dom) 
      res.set_domain(dom) = operator()(dom).mult_sin_theta();
   return res ;
}
 
Scalar Scalar::mult_cos_phi() const 
{
   Scalar res (*this, false) ;
   for (int dom(0) ; dom < ndom ; ++dom) 
      res.set_domain(dom) = operator()(dom).mult_cos_phi();
   return res ;
}
 
Scalar Scalar::mult_sin_phi() const 
{
   Scalar res (*this, false) ;
   for (int dom(0) ; dom < ndom ; ++dom) 
      res.set_domain(dom) = operator()(dom).mult_sin_phi();
   return res ;
}}