quadgrid_cpp_imp.h

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template <class T>
typename quadgrid_t<T>::cell_iterator
quadgrid_t<T>::begin_cell_sweep () {
  current_cell.reset ();
  return cell_iterator (&current_cell);
}
 
 
 
template <class T>
const typename quadgrid_t<T>::cell_iterator
quadgrid_t<T>::begin_cell_sweep () const {
  current_cell.reset ();
  return cell_iterator (&current_cell);
}
 
 
 
template <class T>
void
quadgrid_t<T>::set_sizes (idx_t numrows, idx_t numcols,
                          double hx, double hy) {
  grid_properties.numrows = numrows;
  grid_properties.numcols = numcols;
  grid_properties.hx = hx;
  grid_properties.hy = hy;
  grid_properties.start_cell_row = 0;
  grid_properties.end_cell_row = numrows - 1;
  grid_properties.start_cell_col = 0;
  grid_properties.end_cell_col = numcols - 1;
  grid_properties.start_owned_nodes = 0;
  grid_properties.num_owned_nodes = (numrows+1)*(numcols+1);
}
 
 
 
template <class T>
void
quadgrid_t<T>::cell_iterator::operator++ () {
  static idx_t tmp;
  if (data != nullptr) {
    tmp =  data->rowidx + data->num_rows () *  data->colidx + 1;
    if (tmp > (data->end_cell_row () +
               data->num_rows () * data->end_cell_col ()))
      data = nullptr;
    else {
      data->rowidx = tmp % data->num_rows ();
      data->colidx = tmp / data->num_rows ();
      data->global_cell_idx = tmp;
      data->local_cell_idx = tmp -
        (data->start_cell_row () +
         data->num_rows () * data->start_cell_col ());
    }
  }
};
 
template <class T>
const typename quadgrid_t<T>::cell_t&
quadgrid_t<T>::operator[] (idx_t tmp) const {
  assert (tmp <= (current_cell.end_cell_row () +
                  current_cell.num_rows () * current_cell.end_cell_col ()));
  current_cell.rowidx = tmp % current_cell.num_rows ();
  current_cell.colidx = tmp / current_cell.num_rows ();
  current_cell.global_cell_idx = tmp;
  current_cell.local_cell_idx = tmp -
    (current_cell.start_cell_row () +
     current_cell.num_rows () * current_cell.start_cell_col ());
  return current_cell;
};
 
 
 
template <class T>
void
quadgrid_t<T>::neighbor_iterator::operator++ () {
  static idx_t tmp = 0;
  if (data != nullptr) {
    tmp = ++face_idx;
    if (tmp >= quadgrid_t<T>::cell_t::edges_per_cell) {
      data = nullptr;
      face_idx = -1;
    }
    else {
      switch (face_idx) {
      case 0 :
        if (data->rowidx == 0)
          face_idx++;
        else {
          data->rowidx = tmp % data->num_rows ();
          data->colidx = tmp / data->num_rows ();
          data->global_cell_idx = tmp;
          data->local_cell_idx = tmp -
            (data->start_cell_row () +
             data->num_rows () * data->start_cell_col ());
        }
      case 1 :
        if (data->rowidx == data->num_rows () - 1)
          face_idx++;
        else {
 
 
        }
      case 2 :
        if (data->colidx == 1)
          face_idx++;
        else {
 
 
        }
      case 3 :
        if (data->colidx == data->num_cols () - 1) {
          face_idx = -1;
          data = nullptr;
        }
        else {
 
 
        }
      }
      data->rowidx = tmp % data->num_rows ();
      data->colidx = tmp / data->num_rows ();
      data->global_cell_idx = tmp;
      data->local_cell_idx = tmp -x
        (data->start_cell_row () +
         data->num_rows () * data->start_cell_col ());
    }
  }
};
 
 
 
 
template <class T>
typename quadgrid_t<T>::idx_t
quadgrid_t<T>::num_local_cells () const {
  return grid_properties.numrows*grid_properties.numcols;
}
 
 
 
 
template <class T>
typename quadgrid_t<T>::idx_t
quadgrid_t<T>::num_global_cells () const {
  return grid_properties.numrows*grid_properties.numcols;
}
 
 
 
 
template <class T>
typename quadgrid_t<T>::idx_t
quadgrid_t<T>::num_global_nodes () const {
  return (grid_properties.numrows+1)*(grid_properties.numcols+1);
}
 
template <class T>
typename quadgrid_t<T>::idx_t
quadgrid_t<T>::num_local_nodes () const {
  return (grid_properties.numrows+1)*(grid_properties.numcols+1);
}
 
 
template <class T>
typename quadgrid_t<T>::idx_t
quadgrid_t<T>::cell_t::t (typename quadgrid_t<T>::idx_t inode) const {
  static idx_t glob = 0;
  glob = gt (inode);
  // should check that inode < 4 in an efficient way
  if (glob < grid_properties.start_owned_nodes
      || glob >= (grid_properties.start_owned_nodes
                  + grid_properties.num_owned_nodes))
    return (glob);
  else
    return (glob - grid_properties.start_owned_nodes);
}
 
 
//-----------------------------------
//
//   Numbering of nodes and edges :
//
//              1
//              |
//              V
// 1 -> O---------------O <- 3
//      |               |
//      |               |
// 2 -> |               | <- 3
//      |               |
//      |               |
// 0 -> O---------------O <- 2
//              ^
//              |
//              0
//
//-----------------------------------
template <class T>
double
quadgrid_t<T>::cell_t::p (typename quadgrid_t<T>::idx_t idir,
                          typename quadgrid_t<T>::idx_t inode) const {
 
  return quadgrid_t::p (idir, inode, col_idx (), row_idx (),
            grid_properties.hx, grid_properties.hy);
  
}
 
 
template <class T>
typename quadgrid_t<T>::idx_t
quadgrid_t<T>::cell_t::e (typename quadgrid_t<T>::idx_t iedge) const {
  // should check that iedge < 4 in an efficient way
 
  if (row_idx () == 0 && iedge == 0)
    return 0;
 
  if (row_idx () == num_rows () - 1 && iedge == 1)
    return 1;
 
  if (col_idx () == 0 && iedge == 2)
    return 2;
 
  if (col_idx () == num_cols () - 1 && iedge == 3)
    return 3;
 
  return (NOT_ON_BOUNDARY);
}
 
 
template <class T>
double
quadgrid_t<T>::cell_t::shp (double x, double y, idx_t inode) const {
  
  switch (inode) {
  case 3 :
  case 2 :
  case 1 :
  case 0 :
    return quadgrid_t::shp (x, y, inode, col_idx (), row_idx (), grid_properties.hx, grid_properties.hy);
    break;
  default :
    throw std::out_of_range ("inode must be in range 0..3");
  }
};
 
/*
template <class T>
 double
 quadgrid_t<T>::cell_t::shp (double x, double y, idx_t inode) const {
   switch (inode) {
   case 3 :
    return ((x - p(0,0))/grid_properties.hx *
            (y - p(1,0))/grid_properties.hy);
    break;
  case 2 :
    return ((x - p(0,0))/grid_properties.hx *
            (1. - (y - p(1,0))/grid_properties.hy));
    break;
  case 1 :
    return ((1. - (x - p(0,0))/grid_properties.hx) *
            (y - p(1,0))/grid_properties.hy);
    break;
  case 0 :
    return ((1. - (x - p(0,0))/grid_properties.hx) *
            (1. - (y - p(1,0))/grid_properties.hy));
     break;
   default :
     throw std::out_of_range ("inode must be in range 0..3");
  }
};
*/
 
template <class T>
double
quadgrid_t<T>::cell_t::shg (double x, double y, idx_t idir, idx_t inode) const {
  switch (inode) {
  case 3 :
  case 2 :
  case 1 :    
  case 0 :
    return quadgrid_t::shg (x, y, idir, inode, col_idx (), row_idx (), grid_properties.hx, grid_properties.hy);
    break;
  default :
    throw std::out_of_range ("inode must be in range 0..3, idir must be either 0 or 1");
  }
  return 0.;
};
 
// template <class T>
// double
// quadgrid_t<T>::cell_t::shg (double x, double y, idx_t idir, idx_t inode) const {
//   switch (inode) {
//   case 3 :
//     if (idir == 0) {
//       return ((1. / grid_properties.hx) *
//               ((y - p(1,0)) / grid_properties.hy));
//     }
//     else if (idir == 1) {
//       return (((x - p(0,0)) / grid_properties.hx) *
//               (1. / grid_properties.hy));
//     }
//     break;
//   case 2 :
//     if (idir == 0) {
//       return ((1. / grid_properties.hx) *
//               ((1. - (y - p(1,0)) / grid_properties.hy)));
//     }
//     else if (idir == 1) {
//       return (((x - p(0,0)) / grid_properties.hx) *
//               (- 1. / grid_properties.hy));
//     }
//     break;
//   case 1 :
//     if (idir == 0) {
//       return ((- 1. / grid_properties.hx) *
//               ((y - p(1,0)) / grid_properties.hy));
//     }
//     else if (idir == 1) {
//       return ((1. - (x - p(0,0)) / grid_properties.hx) *
//               (1. / grid_properties.hy));
//     }
//     break;
//   case 0 :
//     if (idir == 0) {
//       return ((- 1. /grid_properties.hx) *
//               (1. - (y - p(1,0)) / grid_properties.hy));
//     }
//     else if (idir == 1) {
//       return ((1. - (x - p(0,0))/grid_properties.hx) *
//               (- 1. / grid_properties.hy));
//     }
//     break;
//   default :
//     throw std::out_of_range ("inode must be in range 0..3, idir must be either 0 or 1");
//   }
//   return 0.;
// };
 
 
 
 
template <class T>
void
quadgrid_t<T>::vtk_export (const char *filename,
                           const std::map<std::string, T> & f) const {
 
  std::ofstream ofs (filename, std::ofstream::out);
 
  // This is the XML format of a VTS file to write :
 
  ofs <<
    "<VTKFile type=\"StructuredGrid\" version=\"StructuredGrid\" byte_order=\"LittleEndian\">\n\
    <StructuredGrid WholeExtent=\"0 " << num_rows() << " 0 " << num_cols() << " 0 0\">\n \
      <Piece Extent=\"0 " << num_rows() << " 0 " << num_cols() << " 0 0\">\n";
 
  ofs << "      <PointData Scalars=\"";
  for (auto const & ii : f) {
    ofs << ii.first << ",";
  }
  ofs  << "\">\n";
 
  for (auto const & ii : f) {
    ofs << "        <DataArray type=\"Float64\" Name=\"" << ii.first <<"\" format=\"ascii\">\n        ";
    for (auto const & jj : ii.second) {
      ofs << jj << " ";
    }
    ofs << std::endl << "        </DataArray>" << std::endl;
  }
 
  ofs << "      </PointData>\n";
 
  ofs << "      <Points>\n        <DataArray type=\"Float64\" NumberOfComponents=\"3\" format=\"ascii\">\n";
  for (idx_t ii = 0; ii <= num_cols(); ++ii) {
    ofs << "          ";
    for (idx_t jj = 0; jj <= num_rows(); ++jj) {
      ofs << std::setprecision(16) << hx()*ii << " " << hy()*jj << " 0 ";
    }
    ofs << std::endl;
  }
  ofs << "        </DataArray>\n      </Points>\n";
 
 
  ofs <<
    "    </Piece>\n\
  </StructuredGrid>\n\
</VTKFile>\n";
 
  ofs.close ();
}
 
 
template <class T>
void
quadgrid_t<T>::octave_ascii_export
(const char *filename,
 std::map<std::string, T> const & vars) const {
 
  std::ofstream os (filename, std::ofstream::out);
 
  os << "# name: p" << std::endl
     << "# type: matrix" << std::endl
     << "# rows: 2" << std::endl
     << "# columns: " << num_owned_nodes () << std::endl;
 
  for (idx_t jj = 0; jj < num_cols () + 1; ++jj) {
    for (idx_t ii = 0; ii < num_rows () + 1; ++ii) {
      os  << std::setprecision(16) << jj*hx() << " ";
    }
  }
  os << std::endl;
 
  for (idx_t jj = 0; jj < num_cols () + 1; ++jj) {
    for (idx_t ii = 0; ii < num_rows () + 1; ++ii) {
      os  << std::setprecision(16) << ii*hy() << " ";
    }
  }
  os << std::endl;
 
  os << "# name: t" << std::endl
     << "# type: matrix" << std::endl
     << "# rows: 4" << std::endl
     << "# columns: " << num_local_cells () << std::endl;
  for (auto inode = 0;
       inode < quadgrid_t<std::vector<double>>::cell_t::nodes_per_cell;
       ++inode) {
    for (auto icell = begin_cell_sweep ();
         icell != end_cell_sweep (); ++icell) {
      os  << std::setprecision(16) << icell->gt(inode) << " ";
    }
    os << std::endl;
  }
 
 
  os << "# name: vars" << std::endl
     << "# type: scalar struct" << std::endl
     << "# ndims: 2" << std::endl
     << "1 1" << std::endl
     << "# length: " << vars.size () << std::endl;
 
 
  for (auto const & ii : vars) {
    os << "# name: " << ii.first << std::endl
       << "# type: matrix" << std::endl
       << "# rows: 1" << std::endl
       << "# columns: " << ii.second.size () << std::endl;
    for (auto const & kk : ii.second) {
      os << std::setprecision(16) << kk << " ";
    }
    os << std::endl;
  }
  os << std::endl;
 
  os.close ();
}