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

Inheritance diagram for FunctionManifold< dim, spacedim, chartdim >:

Public Member Functions
	FunctionManifold (const Function< chartdim > &push_forward_function, const Function< spacedim > &pull_back_function, const Point< chartdim > periodicity=Point< chartdim >(), const double tolerance=1e-10)

	FunctionManifold (const std::string push_forward_expression, const std::string pull_back_expression, const Point< chartdim > periodicity=Point< chartdim >(), const typename FunctionParser< spacedim >::ConstMap=typename FunctionParser< spacedim >::ConstMap(), const std::string chart_vars=FunctionParser< chartdim >::default_variable_names(), const std::string space_vars=FunctionParser< spacedim >::default_variable_names(), const double tolerance=1e-10)

	~FunctionManifold ()

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

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

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

virtual	~ChartManifold ()

virtual Point< spacedim >	get_new_point (const Quadrature< spacedim > &quad) const

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

virtual Point< spacedim >	project_to_manifold (const std::vector< 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

Public Member Functions inherited from Subscriptor
	Subscriptor ()

	Subscriptor (const Subscriptor &)

virtual	~Subscriptor ()

Subscriptor &	operator= (const Subscriptor &)

void	subscribe (const char *identifier=0) const

void	unsubscribe (const char *identifier=0) const

unsigned int	n_subscriptions () const

void	list_subscribers () const

	DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects."<< "\"<< "(Additional information: "<< arg3<< ")\"<< "See the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "a lot more information on what this error means and "<< "how to fix programs in which it happens.")

	DeclException2 (ExcNoSubscriber, char , char ,<< "No subscriber with identifier <"<< arg2<< "> subscribes to this object of class "<< arg1<< ". Consequently, it cannot be unsubscribed.")

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

Private Attributes
const FunctionParser< spacedim >::ConstMap	const_map

SmartPointer< const Function< chartdim >, FunctionManifold< dim, spacedim, chartdim > >	push_forward_function

SmartPointer< const Function< spacedim >, FunctionManifold< dim, spacedim, chartdim > >	pull_back_function

const double	tolerance

const bool	owns_pointers

Detailed Description

template<int dim, int spacedim = dim, int chartdim = dim>
class FunctionManifold< dim, spacedim, chartdim >

Manifold description derived from ChartManifold, based on explicit Function<spacedim> and Function<chartdim> objects describing the push_forward() and pull_back() functions.

You can use this Manifold object to describe any arbitrary shape domain, as long as you can express it in terms of an invertible map, for which you provide both the forward expression, and the inverse expression.

In debug mode, a check is performed to verify that the transformations are actually one the inverse of the other.

Author: Luca Heltai, 2014

Definition at line 198 of file manifold_lib.h.

Constructor & Destructor Documentation

§ FunctionManifold() [1/2]

template<int dim, int spacedim, int chartdim>

FunctionManifold< dim, spacedim, chartdim >::FunctionManifold	(	const Function< chartdim > &	push_forward_function,
		const Function< spacedim > &	pull_back_function,
		const Point< chartdim >	periodicity = `Point<chartdim>()`,
		const double	tolerance = `1e-10`
	)

Explicit functions constructor. Takes a push_forward function of spacedim components, and a pull_back function of chartdim components. See the documentation of the base class ChartManifold for the meaning of the optional periodicity argument.

The tolerance argument is used in debug mode to actually check that the two functions are one the inverse of the other.

Definition at line 207 of file manifold_lib.cc.

§ FunctionManifold() [2/2]

template<int dim, int spacedim, int chartdim>

FunctionManifold< dim, spacedim, chartdim >::FunctionManifold	(	const std::string	push_forward_expression,
		const std::string	pull_back_expression,
		const Point< chartdim >	periodicity = `Point<chartdim>()`,
		const typename FunctionParser< spacedim >::ConstMap	const_map = `typename FunctionParser<spacedim>::ConstMap()`,
		const std::string	chart_vars = `FunctionParser<chartdim>::default_variable_names()`,
		const std::string	space_vars = `FunctionParser<spacedim>::default_variable_names()`,
		const double	tolerance = `1e-10`
	)

Expressions constructor. Takes the expressions of the push_forward function of spacedim components, and of the pull_back function of chartdim components. See the documentation of the base class ChartManifold for the meaning of the optional periodicity argument.

The strings should be the readable by the default constructor of the FunctionParser classes. You can specify custom variable expressions with the last two optional arguments. If you don't, the default names are used, i.e., "x,y,z".

The tolerance argument is used in debug mode to actually check that the two functions are one the inverse of the other.

Definition at line 223 of file manifold_lib.cc.

§ ~FunctionManifold()

template<int dim, int spacedim, int chartdim>

FunctionManifold< dim, spacedim, chartdim >::~FunctionManifold ( )

If needed, we delete the pointers we own.

Definition at line 244 of file manifold_lib.cc.

Member Function Documentation

§ push_forward()

template<int dim, int spacedim, int chartdim>

Point< spacedim > FunctionManifold< dim, spacedim, chartdim >::push_forward ( const Point< chartdim > & chart_point ) const

virtual

Given a point in the chartdim coordinate system, uses the push_forward_function to compute the push_forward of points in chartdim space dimensions to spacedim space dimensions.

Implements ChartManifold< dim, spacedim, chartdim >.

Definition at line 260 of file manifold_lib.cc.

§ pull_back()

template<int dim, int spacedim, int chartdim>

Point< chartdim > FunctionManifold< dim, spacedim, chartdim >::pull_back ( const Point< spacedim > & space_point ) const

virtual

Given a point in the spacedim coordinate system, uses the pull_back_function to compute the pull_back of points in spacedim space dimensions to chartdim space dimensions.

Implements ChartManifold< dim, spacedim, chartdim >.

Definition at line 284 of file manifold_lib.cc.