#include <deal.II/grid/composition_manifold.h>

Inheritance diagram for CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >:

Public Member Functions
	CompositionManifold (const ChartManifold< dim1, intermediate_dim, chartdim > &F, const ChartManifold< dim2, spacedim, intermediate_dim > &G)

virtual std::unique_ptr< Manifold< dim, spacedim > >	clone () const override

virtual Point< chartdim >	pull_back (const Point< spacedim > &space_point) const

virtual Point< spacedim >	push_forward (const Point< chartdim > &chart_point) const

virtual DerivativeForm< 1, chartdim, spacedim >	push_forward_gradient (const Point< chartdim > &chart_point) const

Public Member Functions inherited from ChartManifold< dim, spacedim, chartdim >
	ChartManifold (const Tensor< 1, chartdim > &periodicity=Tensor< 1, chartdim >())

virtual	~ChartManifold () override=default

virtual Point< spacedim >	get_intermediate_point (const Point< spacedim > &p1, const Point< spacedim > &p2, const double w) const override

virtual Point< spacedim >	get_new_point (const ArrayView< const Point< spacedim >> &surrounding_points, const ArrayView< const double > &weights) const override

virtual void	get_new_points (const ArrayView< const Point< spacedim >> &surrounding_points, const Table< 2, double > &weights, ArrayView< Point< spacedim >> new_points) const override

virtual Tensor< 1, spacedim >	get_tangent_vector (const Point< spacedim > &x1, const Point< spacedim > &x2) const override

const Tensor< 1, chartdim > &	get_periodicity () const

Public Member Functions inherited from Manifold< dim, spacedim >
virtual	~Manifold () override=default

virtual Point< spacedim >	project_to_manifold (const ArrayView< const Point< spacedim >> &surrounding_points, const Point< spacedim > &candidate) const

virtual Point< spacedim >	get_new_point_on_line (const typename Triangulation< dim, spacedim >::line_iterator &line) const

virtual Point< spacedim >	get_new_point_on_quad (const typename Triangulation< dim, spacedim >::quad_iterator &quad) const

virtual Point< spacedim >	get_new_point_on_hex (const typename Triangulation< dim, spacedim >::hex_iterator &hex) const

Point< spacedim >	get_new_point_on_face (const typename Triangulation< dim, spacedim >::face_iterator &face) const

Point< spacedim >	get_new_point_on_cell (const typename Triangulation< dim, spacedim >::cell_iterator &cell) const

virtual Tensor< 1, spacedim >	normal_vector (const typename Triangulation< dim, spacedim >::face_iterator &face, const Point< spacedim > &p) const

virtual void	get_normals_at_vertices (const typename Triangulation< dim, spacedim >::face_iterator &face, FaceVertexNormals &face_vertex_normals) const

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

	Subscriptor (Subscriptor &&) noexcept

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

Subscriptor &	operator= (Subscriptor &&) noexcept

void	subscribe (const char *identifier=nullptr) const

void	unsubscribe (const char *identifier=nullptr) const

unsigned int	n_subscriptions () const

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Attributes
SmartPointer< const ChartManifold< dim1, intermediate_dim, chartdim >, CompositionManifold< dim, spacedim, chartdim, dim1, dim2, intermediate_dim > >	F

SmartPointer< const ChartManifold< dim2, spacedim, intermediate_dim >, CompositionManifold< dim, spacedim, chartdim, dim1, dim2, intermediate_dim > >	G

Additional Inherited Members
Public Types inherited from Manifold< dim, spacedim >
using	FaceVertexNormals = std::array< Tensor< 1, spacedim >, GeometryInfo< dim >::vertices_per_face >

Static Public Member Functions inherited from Subscriptor
static::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)

static::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)

Detailed Description

template<int dim, int spacedim = dim, int chartdim = dim, int intermediate_dim = dim, int dim1 = dim, int dim2 = dim>
class CompositionManifold< dim, spacedim, chartdim, intermediate_dim, dim1, dim2 >

CompositionManifold. Take two ChartManifold objects, and make their composition. The CompositionManifold object is a ChartManifold going from the chart of the first ChartManifold to the embedding space of the second ChartManifold. If the first ChartManifold is periodic, so is the resulting ChartManifold, with the same periodicity. Periodicity on the second ChartManifold is not allowed, and the constructor will throw an exception if the second Manifold is periodic.

This class only works for dim <= chartdim <= intermediate_spacedim <= spacedim. If you try to instantiate anything different, an Exception will be thrown in one of the ChartManifold classes that violates this condition.

Given the ChartManifold F and the ChartManifold G, this class represents the composition of G after F.

The template parameters have the following meaning:

Template Parameters

dim	The dimension of the resulting ChartManifold
spacedim	The space dimension of the resulting ChartManifold
chartdim	The chart dimension of the resulting ChartManifold
intermediate_dim	The space dimension of the first ChartManifold
dim1	The dimension of the first ChartManifold, which coincides also with the chart dimension of the second ChartManifold
dim2	The dimension of the second ChartManifold

Author: Luca Heltai, Timo Heister, 2016

Definition at line 75 of file composition_manifold.h.