ope_sqrt_nonstd.cpp

/*
    Copyright 2018 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 "ope_eq.hpp"
#include "scalar.hpp"
#include "tensor_impl.hpp"
namespace Kadath {
Ope_sqrt_nonstd::Ope_sqrt_nonstd (const System_of_eqs* zesys, Ope_eq* target) : Ope_eq(zesys, target->get_dom(), 1) {
    parts[0] = target ;
}
 
Ope_sqrt_nonstd::~Ope_sqrt_nonstd() {
}
 
Term_eq Ope_sqrt_nonstd::action() const {
 
    Term_eq target (parts[0]->action()) ;
    switch (target.type_data) {
        case TERM_T : {
 
        // Check it is a scalar
        if (target.val_t->get_valence() != 0) {
        cerr << "Ope_sqrt_nonstd only defined with respect for a scalar" << endl ;
        abort() ;
        }
        
 
    // To get the base
    Val_domain rho (target.val_t->get_space().get_domain(dom)) ;
    rho= 1 ;
    rho.std_base() ;
    rho = target.val_t->get_space().get_domain(dom)->mult_r(target.val_t->get_space().get_domain(dom)->mult_sin_theta(rho)) ;
 
        // The value    
    Tensor resval (*target.val_t, false) ;
 
    for (int i=0 ; i<target.val_t->get_n_comp() ; i++) {
        Array<int> ind (target.val_t->indices(i)) ;
        Val_domain value ((*target.val_t)(ind)(dom)) ;
        if (value.check_if_zero())
            resval.set(ind).set_domain(dom).set_zero() ;
        else {
            resval.set(ind).set_domain(dom) = sqrt(value) ;
            // Force the base
            resval.set(ind).set_domain(dom).set_base() = rho.get_base() ;
        }
    }
 
    if (target.der_t!=0x0) {
        Tensor resder (*target.der_t, false) ;
        for (int i=0 ; i<target.der_t->get_n_comp() ; i++) {
            Array<int> ind (target.der_t->indices(i)) ;
            Val_domain valder ((*target.der_t)(ind)(dom)) ;
            Val_domain value ((*target.val_t)(ind)(dom)) ;
            if (valder.check_if_zero())
                resder.set(ind).set_domain(dom).set_zero() ;
            else {
                resder.set(ind).set_domain(dom) = target.val_t->get_space().get_domain(dom)->div_sin_theta(valder)/2./
                    target.val_t->get_space().get_domain(dom)->div_sin_theta(resval(ind)(dom)) ;
            }
            }
        Term_eq res (dom, resval, resder) ;
        return res ;
    }
    else {
        Term_eq res (dom, resval) ;
        return res ;
    }
    }
    break ;
    case TERM_D : {
          if (target.der_d==0x0) {
          Term_eq res (dom, sqrt(*target.val_d)) ;
          return res ;
          }
          else {
          Term_eq res (dom, sqrt(*target.val_d), (*target.der_d)/2./sqrt(*target.val_d)) ;
          return res ;
          }
      }
      break ;
    default : {
      cerr << "Unknown storage in Term_eq..." << endl ;
      abort() ;
    }
      }
    cerr << "Warning should not be here in Ope_sqrt_nonstd::action..." << endl ;
    abort() ;
}
}