#include <deal.II/base/function_lib.h>

Inheritance diagram for Functions::CutOffFunctionBase< dim >:

Public Member Functions
	CutOffFunctionBase (const double radius=1., const Point< dim > center=Point< dim >(), const unsigned int n_components=1, const unsigned int select=CutOffFunctionBase< dim >::no_component, const bool integrate_to_one=false, const double unitary_integral_value=1.0)

virtual	~CutOffFunctionBase ()=default

void	new_center (const Point< dim > &p)

void	new_radius (const double r)

virtual void	set_center (const Point< dim > &p)

virtual void	set_radius (const double r)

const Point< dim > &	get_center () const

double	get_radius () const

bool	integrates_to_one () const

Public Member Functions inherited from Function< dim >
	Function (const unsigned int n_components=1, const time_type initial_time=0.0)

	Function (const Function &f)=default

virtual	~Function () override=0

Function &	operator= (const Function &f)

virtual double	value (const Point< dim > &p, const unsigned int component=0) const

virtual void	vector_value (const Point< dim > &p, Vector< double > &values) const

virtual void	value_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const

virtual void	vector_value_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const

virtual void	vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) const

virtual Tensor< 1, dim, double >	gradient (const Point< dim > &p, const unsigned int component=0) const

virtual void	vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, double >> &gradients) const

virtual void	gradient_list (const std::vector< Point< dim >> &points, std::vector< Tensor< 1, dim, double >> &gradients, const unsigned int component=0) const

virtual void	vector_gradients (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const

virtual void	vector_gradient_list (const std::vector< Point< dim >> &points, std::vector< std::vector< Tensor< 1, dim, double >>> &gradients) const

virtual double	laplacian (const Point< dim > &p, const unsigned int component=0) const

virtual void	vector_laplacian (const Point< dim > &p, Vector< double > &values) const

virtual void	laplacian_list (const std::vector< Point< dim >> &points, std::vector< double > &values, const unsigned int component=0) const

virtual void	vector_laplacian_list (const std::vector< Point< dim >> &points, std::vector< Vector< double >> &values) const

virtual SymmetricTensor< 2, dim, double >	hessian (const Point< dim > &p, const unsigned int component=0) const

virtual void	vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, double >> &values) const

virtual void	hessian_list (const std::vector< Point< dim >> &points, std::vector< SymmetricTensor< 2, dim, double >> &values, const unsigned int component=0) const

virtual void	vector_hessian_list (const std::vector< Point< dim >> &points, std::vector< std::vector< SymmetricTensor< 2, dim, double >>> &values) const

std::size_t	memory_consumption () const

Public Member Functions inherited from FunctionTime< numbers::NumberTraits< double >::real_type >
	FunctionTime (const numbers::NumberTraits< double >::real_type initial_time=numbers::NumberTraits< double >::real_type(0.0))

virtual	~FunctionTime ()=default

numbers::NumberTraits< double >::real_type	get_time () const

virtual void	set_time (const numbers::NumberTraits< double >::real_type new_time)

virtual void	advance_time (const numbers::NumberTraits< double >::real_type delta_t)

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 (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") 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)

Static Public Attributes
static const unsigned int	no_component = numbers::invalid_unsigned_int

Static Public Attributes inherited from Function< dim >
static const unsigned int	dimension

Protected Attributes
Point< dim >	center

double	radius

const unsigned int	selected

bool	integrate_to_one

const double	unitary_integral_value

double	rescaling

Additional Inherited Members
Public Types inherited from Function< dim >
using	time_type = typename FunctionTime< typename numbers::NumberTraits< double >::real_type >::time_type

Public Types inherited from FunctionTime< numbers::NumberTraits< double >::real_type >
using	time_type = numbers::NumberTraits< double >::real_type

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)

Public Attributes inherited from Function< dim >
const unsigned int	n_components

Detailed Description

template<int dim>
class Functions::CutOffFunctionBase< dim >

Base function for cut-off function. This class stores the center and the radius of the supporting ball of a cut-off function. It also stores the number of the non-zero component, if the function is vector-valued.

This class can also be used for approximated Dirac delta functions. These are special cut-off functions whose integral is always equal to one, independently of the radius of the supporting ball.

Author: Guido Kanschat, 2002, Luca Heltai, 2019.

Definition at line 924 of file function_lib.h.

Constructor & Destructor Documentation

◆ CutOffFunctionBase()

template<int dim>

Functions::CutOffFunctionBase< dim >::CutOffFunctionBase	(	const double	radius = `1.`,
		const Point< dim >	center = `Point<dim>()`,
		const unsigned int	n_components = `1`,
		const unsigned int	select = `CutOffFunctionBase<dim>::no_component`,
		const bool	integrate_to_one = `false`,
		const double	unitary_integral_value = `1.0`
	)

Constructor.

Parameters

[in]	radius	Radius of the ball
[in]	center	Center of the ball
[in]	n_components	Number of components of this function object
[in]	select	If this is different from CutOffFunctionBase<dim>::no_component, then the function will be non-zero for this component only
[in]	integrate_to_one	Rescale the value of the function whenever a new radius is set, to guarantee that the integral is equal to one
[in]	unitary_integral_value	Value of the integral when the radius is equal to 1.0. Derived classes will need to supply this value, to guarantee that the rescaling is performed correctly.

Definition at line 30 of file function_lib_cutoff.cc.

◆ ~CutOffFunctionBase()

template<int dim>

virtual Functions::CutOffFunctionBase< dim >::~CutOffFunctionBase ( )

virtualdefault

Virtual destructor.

Member Function Documentation

◆ new_center()

template<int dim>

void Functions::CutOffFunctionBase< dim >::new_center ( const Point< dim > & p )

Move the center of the ball to new point p.

Definition at line 53 of file function_lib_cutoff.cc.

◆ new_radius()

template<int dim>

void Functions::CutOffFunctionBase< dim >::new_radius ( const double r )

Set the radius of the ball to r.

Definition at line 80 of file function_lib_cutoff.cc.

◆ set_center()

template<int dim>

void Functions::CutOffFunctionBase< dim >::set_center ( const Point< dim > & p )

virtual

Set the center of the ball to the point p.

Reimplemented in Functions::CutOffFunctionTensorProduct< dim >.

Definition at line 62 of file function_lib_cutoff.cc.

◆ set_radius()

template<int dim>

void Functions::CutOffFunctionBase< dim >::set_radius ( const double r )

virtual

Set the radius of the ball to r

Reimplemented in Functions::CutOffFunctionTensorProduct< dim >.

Definition at line 89 of file function_lib_cutoff.cc.

◆ get_center()

template<int dim>

const Point< dim > & Functions::CutOffFunctionBase< dim >::get_center

Return the center stored in this object.

Definition at line 71 of file function_lib_cutoff.cc.

◆ get_radius()

template<int dim>

double Functions::CutOffFunctionBase< dim >::get_radius

Return the radius stored in this object.

Definition at line 104 of file function_lib_cutoff.cc.

◆ integrates_to_one()

template<int dim>

bool Functions::CutOffFunctionBase< dim >::integrates_to_one

Return a boolean indicating whether this function integrates to one.

Definition at line 113 of file function_lib_cutoff.cc.

Member Data Documentation

◆ no_component

template<int dim>

const unsigned int Functions::CutOffFunctionBase< dim >::no_component = numbers::invalid_unsigned_int

static

Value used in the constructor of this and derived classes to denote that no component is selected.

Definition at line 931 of file function_lib.h.

◆ center

template<int dim>

Point<dim> Functions::CutOffFunctionBase< dim >::center

protected

Center of the integration ball.

Definition at line 1011 of file function_lib.h.

◆ radius

template<int dim>

double Functions::CutOffFunctionBase< dim >::radius

protected

Radius of the ball.

Definition at line 1016 of file function_lib.h.

◆ selected

template<int dim>

const unsigned int Functions::CutOffFunctionBase< dim >::selected

protected

Component selected. If no_component, the function is the same in all components.

Definition at line 1022 of file function_lib.h.

◆ integrate_to_one

template<int dim>

bool Functions::CutOffFunctionBase< dim >::integrate_to_one

protected

Flag that controls whether we rescale the value when the radius changes.

Definition at line 1027 of file function_lib.h.

◆ unitary_integral_value

template<int dim>

const double Functions::CutOffFunctionBase< dim >::unitary_integral_value

protected

The reference integral value. Derived classes should specify what their integral is when radius = 1.0.

Definition at line 1033 of file function_lib.h.

◆ rescaling

template<int dim>

double Functions::CutOffFunctionBase< dim >::rescaling

protected

Current rescaling to apply the cut-off function.

Definition at line 1038 of file function_lib.h.

The documentation for this class was generated from the following files:

include/deal.II/base/function_lib.h
source/base/function_lib_cutoff.cc

Public Member Functions

Static Public Attributes

Protected Attributes

Additional Inherited Members

Detailed Description

template<int dim> class Functions::CutOffFunctionBase< dim >

Constructor & Destructor Documentation

◆ CutOffFunctionBase()

◆ ~CutOffFunctionBase()

Member Function Documentation

◆ new_center()

◆ new_radius()

◆ set_center()

◆ set_radius()

◆ get_center()

◆ get_radius()

◆ integrates_to_one()

Member Data Documentation

◆ no_component

◆ center

◆ radius

◆ selected

◆ integrate_to_one

◆ unitary_integral_value

◆ rescaling

template<int dim>
class Functions::CutOffFunctionBase< dim >