internal::TriangulationImplementation::Implementation Struct Reference

Classes
struct	QuadComparator

Static Public Member Functions
template<int dim, int spacedim>
static void	compute_number_cache (const Triangulation< dim, spacedim > &triangulation, const unsigned int level_objects, internal::TriangulationImplementation::NumberCache< 1 > &number_cache)
template<int dim, int spacedim>
static void	compute_number_cache (const Triangulation< dim, spacedim > &triangulation, const unsigned int level_objects, internal::TriangulationImplementation::NumberCache< 2 > &number_cache)
template<int dim, int spacedim>
static void	compute_number_cache (const Triangulation< dim, spacedim > &triangulation, const unsigned int level_objects, internal::TriangulationImplementation::NumberCache< 3 > &number_cache)
template<int spacedim>
static void	create_triangulation (const std::vector< Point< spacedim >> &v, const std::vector< CellData< 1 >> &cells, const SubCellData &, Triangulation< 1, spacedim > &triangulation)
template<int spacedim>
static void	create_triangulation (const std::vector< Point< spacedim >> &v, const std::vector< CellData< 2 >> &cells, const SubCellData &subcelldata, Triangulation< 2, spacedim > &triangulation)
template<int spacedim>
static void	create_triangulation (const std::vector< Point< spacedim >> &v, const std::vector< CellData< 3 >> &cells, const SubCellData &subcelldata, Triangulation< 3, spacedim > &triangulation)
template<int spacedim>
static void	delete_children (Triangulation< 1, spacedim > &triangulation, typename Triangulation< 1, spacedim >::cell_iterator &cell, std::vector< unsigned int > &, std::vector< unsigned int > &)
template<int spacedim>
static void	delete_children (Triangulation< 2, spacedim > &triangulation, typename Triangulation< 2, spacedim >::cell_iterator &cell, std::vector< unsigned int > &line_cell_count, std::vector< unsigned int > &)
template<int spacedim>
static void	delete_children (Triangulation< 3, spacedim > &triangulation, typename Triangulation< 3, spacedim >::cell_iterator &cell, std::vector< unsigned int > &line_cell_count, std::vector< unsigned int > &quad_cell_count)
template<int spacedim>
static void	create_children (Triangulation< 2, spacedim > &triangulation, unsigned int &next_unused_vertex, typename Triangulation< 2, spacedim >::raw_line_iterator &next_unused_line, typename Triangulation< 2, spacedim >::raw_cell_iterator &next_unused_cell, typename Triangulation< 2, spacedim >::cell_iterator &cell)
template<int spacedim>
static Triangulation< 1, spacedim >::DistortedCellList	execute_refinement (Triangulation< 1, spacedim > &triangulation, const bool)
template<int spacedim>
static Triangulation< 2, spacedim >::DistortedCellList	execute_refinement (Triangulation< 2, spacedim > &triangulation, const bool check_for_distorted_cells)
template<int spacedim>
static Triangulation< 3, spacedim >::DistortedCellList	execute_refinement (Triangulation< 3, spacedim > &triangulation, const bool check_for_distorted_cells)
template<int spacedim>
static void	prevent_distorted_boundary_cells (const Triangulation< 1, spacedim > &)
template<int dim, int spacedim>
static void	prevent_distorted_boundary_cells (Triangulation< dim, spacedim > &triangulation)
template<int dim, int spacedim>
static void	prepare_refinement_dim_dependent (const Triangulation< dim, spacedim > &)
template<int spacedim>
static void	prepare_refinement_dim_dependent (Triangulation< 3, spacedim > &triangulation)
template<int dim, int spacedim>
static bool	coarsening_allowed (const typename Triangulation< dim, spacedim >::cell_iterator &cell)

Detailed Description

A class into which we put many of the functions that implement functionality of the Triangulation class. The main reason for this class is as follows: the majority of the functions in Triangulation need to be implemented differently for dim==1, dim==2, and dim==3. However, their implementation is largly independent of the spacedim template parameter. So we would like to write things like

template <int spacedim>
void Triangulation<1,spacedim>::create_triangulation (...) {...}

Unfortunately, C++ doesn't allow this: member functions of class templates have to be either not specialized at all, or fully specialized. No partial specialization is allowed. One possible solution would be to just duplicate the bodies of the functions and have equally implemented functions

template <>
void Triangulation<1,1>::create_triangulation (...) {...}
 
template <>
void Triangulation<1,2>::create_triangulation (...) {...}

but that is clearly an unsatisfactory solution. Rather, what we do is introduce the current Implementation class in which we can write these functions as member templates over spacedim, i.e. we can have

template <int dim_, int spacedim_>
template <int spacedim>
void Triangulation<dim_,spacedim_>::Implementation::
           create_triangulation (...,
                                 Triangulation<1,spacedim> &tria ) {...}

The outer template parameters are here unused, only the inner ones are of real interest.

One may ask why we put these functions into an class rather than an anonymous namespace, for example?

First, these implementation functions need to be friends of the Triangulation class. It is simpler to make the entire class a friend rather than listing all members of an implementation namespace as friends of the Triangulation class (there is no such thing as a "friend namespace XXX" directive).

Ideally, we would make this class a member class of the Triangulation<dim,spacedim> class, since then our implementation functions have immediate access to the alias and static functions of the surrounding Triangulation class. I.e., we do not have to write "typename Triangulation<dim,spacedim>::active_cell_iterator" but can write "active_cell_iterator" right away. This is, in fact, the way it was implemented first, but we ran into a bug in gcc4.0:

class Triangulation {
  struct Implementation;
  friend class TriaAccessor;
};
 
class TriaAccessor {
  struct Implementation;
  friend class Triangulation;
};

Here, friendship (per C++ standard) is supposed to extend to all members of the befriended class, including its 'Implementation' member class. But gcc4.0 gets this wrong: the members of Triangulation::Implementation are not friends of TriaAccessor and the other way around. Ideally, one would fix this by saying

class Triangulation {
  struct Implementation;
  friend class TriaAccessor;
  friend class TriaAccessor::Implementation;   // **
};
 
class TriaAccessor {
  struct Implementation;
  friend class Triangulation;
  friend class Triangulation::Implementation;
};

but that's not legal because in ** we don't know yet that TriaAccessor has a member class Implementation and so we can't make it a friend. The only way forward at this point was to make Implementation a class in the internal namespace so that we can forward declare it and make it a friend of the respective other outer class – not quite what we wanted but the only way I could see to make it work...

Definition at line 1452 of file tria.cc.

Member Function Documentation

compute_number_cache() [1/3]

template<int dim, int spacedim>

static void internal::TriangulationImplementation::Implementation::compute_number_cache ( const Triangulation< dim, spacedim > &  triangulation, const unsigned int  level_objects, internal::TriangulationImplementation::NumberCache< 1 > &  number_cache  )

inlinestatic

For a given Triangulation, update that part of the number cache that relates to lines. For 1d, we have to deal with the fact that lines have levels, whereas for higher dimensions they do not.

The second argument indicates for how many levels the Triangulation has objects, though the highest levels need not contain active cells if they have previously all been coarsened away.

Definition at line 1467 of file tria.cc.

compute_number_cache() [2/3]

template<int dim, int spacedim>

static void internal::TriangulationImplementation::Implementation::compute_number_cache ( const Triangulation< dim, spacedim > &  triangulation, const unsigned int  level_objects, internal::TriangulationImplementation::NumberCache< 2 > &  number_cache  )

inlinestatic

For a given Triangulation, update that part of the number cache that relates to quads. For 2d, we have to deal with the fact that quads have levels, whereas for higher dimensions they do not.

The second argument indicates for how many levels the Triangulation has objects, though the highest levels need not contain active cells if they have previously all been coarsened away.

At the beginning of the function, we call the respective function to update the number cache for lines.

Definition at line 1555 of file tria.cc.

compute_number_cache() [3/3]

template<int dim, int spacedim>

static void internal::TriangulationImplementation::Implementation::compute_number_cache ( const Triangulation< dim, spacedim > &  triangulation, const unsigned int  level_objects, internal::TriangulationImplementation::NumberCache< 3 > &  number_cache  )

inlinestatic

For a given Triangulation, update that part of the number cache that relates to hexes. For 3d, we have to deal with the fact that hexes have levels, whereas for higher dimensions they do not.

The second argument indicates for how many levels the Triangulation has objects, though the highest levels need not contain active cells if they have previously all been coarsened away.

At the end of the function, we call the respective function to update the number cache for quads, which will in turn call the respective function for lines.

Definition at line 1662 of file tria.cc.

create_triangulation() [1/3]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::create_triangulation ( const std::vector< Point< spacedim >> &  v, const std::vector< CellData< 1 >> &  cells, const SubCellData &  , Triangulation< 1, spacedim > &  triangulation  )

inlinestatic

Create a triangulation from given data. This function does this work for 1-dimensional triangulations independently of the actual space dimension.

Definition at line 1762 of file tria.cc.

create_triangulation() [2/3]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::create_triangulation ( const std::vector< Point< spacedim >> &  v, const std::vector< CellData< 2 >> &  cells, const SubCellData &  subcelldata, Triangulation< 2, spacedim > &  triangulation  )

inlinestatic

Create a triangulation from given data. This function does this work for 2-dimensional triangulations independently of the actual space dimension.

Definition at line 1954 of file tria.cc.

create_triangulation() [3/3]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::create_triangulation ( const std::vector< Point< spacedim >> &  v, const std::vector< CellData< 3 >> &  cells, const SubCellData &  subcelldata, Triangulation< 3, spacedim > &  triangulation  )

inlinestatic

Create a triangulation from given data. This function does this work for 3-dimensional triangulations independently of the actual space dimension.

Definition at line 2332 of file tria.cc.

delete_children() [1/3]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::delete_children ( Triangulation< 1, spacedim > &  triangulation, typename Triangulation< 1, spacedim >::cell_iterator &  cell, std::vector< unsigned int > &  , std::vector< unsigned int > &    )

inlinestatic

Actually delete a cell, or rather all its children, which is the main step for the coarsening process. This is the dimension dependent part of execute_coarsening. The second argument is a vector which gives for each line index the number of cells containing this line. This information is needed to decide whether a refined line may be coarsened or not in 3D. In 1D and 2D this argument is not needed and thus ignored. The same applies for the last argument and quads instead of lines.

Definition at line 3370 of file tria.cc.

delete_children() [2/3]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::delete_children ( Triangulation< 2, spacedim > &  triangulation, typename Triangulation< 2, spacedim >::cell_iterator &  cell, std::vector< unsigned int > &  line_cell_count, std::vector< unsigned int > &    )

inlinestatic

Definition at line 3474 of file tria.cc.

delete_children() [3/3]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::delete_children ( Triangulation< 3, spacedim > &  triangulation, typename Triangulation< 3, spacedim >::cell_iterator &  cell, std::vector< unsigned int > &  line_cell_count, std::vector< unsigned int > &  quad_cell_count  )

inlinestatic

Definition at line 3612 of file tria.cc.

create_children()

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::create_children ( Triangulation< 2, spacedim > &  triangulation, unsigned int &  next_unused_vertex, typename Triangulation< 2, spacedim >::raw_line_iterator &  next_unused_line, typename Triangulation< 2, spacedim >::raw_cell_iterator &  next_unused_cell, typename Triangulation< 2, spacedim >::cell_iterator &  cell  )

inlinestatic

Create the children of a 2d cell. The arguments indicate the next free spots in the vertices, lines, and cells arrays.

The faces of the cell have to be refined already, whereas the inner lines in 2D will be created in this function. Therefore iterator pointers into the vectors of lines, quads and cells have to be passed, which point at (or "before") the reserved space.

Definition at line 4243 of file tria.cc.

execute_refinement() [1/3]

template<int spacedim>

static Triangulation<1, spacedim>::DistortedCellList internal::TriangulationImplementation::Implementation::execute_refinement ( Triangulation< 1, spacedim > &  triangulation, const bool    )

inlinestatic

A function that performs the refinement of a triangulation in 1d.

Definition at line 4686 of file tria.cc.

execute_refinement() [2/3]

template<int spacedim>

static Triangulation<2, spacedim>::DistortedCellList internal::TriangulationImplementation::Implementation::execute_refinement ( Triangulation< 2, spacedim > &  triangulation, const bool  check_for_distorted_cells  )

inlinestatic

A function that performs the refinement of a triangulation in 2d.

Definition at line 4930 of file tria.cc.

execute_refinement() [3/3]

template<int spacedim>

static Triangulation<3, spacedim>::DistortedCellList internal::TriangulationImplementation::Implementation::execute_refinement ( Triangulation< 3, spacedim > &  triangulation, const bool  check_for_distorted_cells  )

inlinestatic

A function that performs the refinement of a triangulation in 3d.

Definition at line 5255 of file tria.cc.

prevent_distorted_boundary_cells() [1/2]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::prevent_distorted_boundary_cells ( const Triangulation< 1, spacedim > &  )

static

At the boundary of the domain, the new point on the face may be far inside the current cell, if the boundary has a strong curvature. If we allow anisotropic refinement here, the resulting cell may be strongly distorted. To prevent this, this function flags such cells for isotropic refinement. It is called automatically from prepare_coarsening_and_refinement().

This function does nothing in 1d (therefore the specialization).

prevent_distorted_boundary_cells() [2/2]

template<int dim, int spacedim>

static void internal::TriangulationImplementation::Implementation::prevent_distorted_boundary_cells ( Triangulation< dim, spacedim > &  triangulation )

inlinestatic

Definition at line 9732 of file tria.cc.

prepare_refinement_dim_dependent() [1/2]

template<int dim, int spacedim>

static void internal::TriangulationImplementation::Implementation::prepare_refinement_dim_dependent ( const Triangulation< dim, spacedim > &  )

inlinestatic

Some dimension dependent stuff for mesh smoothing.

At present, this function does nothing in 1d and 2D, but makes sure no two cells with a level difference greater than one share one line in 3D. This is a requirement needed for the interpolation of hanging nodes, since otherwise to steps of interpolation would be necessary. This would make the processes implemented in the AffineConstraints class much more complex, since these two steps of interpolation do not commute.

Definition at line 9814 of file tria.cc.

prepare_refinement_dim_dependent() [2/2]

template<int spacedim>

static void internal::TriangulationImplementation::Implementation::prepare_refinement_dim_dependent ( Triangulation< 3, spacedim > &  triangulation )

inlinestatic

Definition at line 9823 of file tria.cc.

coarsening_allowed()

template<int dim, int spacedim>

static bool internal::TriangulationImplementation::Implementation::coarsening_allowed ( const typename Triangulation< dim, spacedim >::cell_iterator &  cell )

inlinestatic

Helper function for fix_coarsen_flags. Return whether coarsening of this cell is allowed. Coarsening can be forbidden if the neighboring cells are or will be refined twice along the common face.

Definition at line 10024 of file tria.cc.

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The documentation for this struct was generated from the following file:

• source/grid/tria.cc