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

Inheritance diagram for Functions::CutOffFunctionCinfty< dim >:

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

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

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

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

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

Public Member Functions inherited from 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)

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)

virtual	~Function () override=0

Function &	operator= (const Function &f)

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

virtual void	vector_values (const std::vector< Point< dim >> &points, std::vector< std::vector< double >> &values) 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< Number >
	FunctionTime (const Number initial_time=Number(0.0))

virtual	~FunctionTime ()=default

Number	get_time () const

virtual void	set_time (const Number new_time)

virtual void	advance_time (const Number 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)

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< Number >
using	time_type = Number

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

Static Public Attributes inherited from Functions::CutOffFunctionBase< dim >
static const unsigned int	no_component = numbers::invalid_unsigned_int

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

Protected Attributes inherited from Functions::CutOffFunctionBase< dim >
Point< dim >	center

double	radius

const unsigned int	selected

bool	integrate_to_one

const double	unitary_integral_value

double	rescaling

Detailed Description

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

Cut-off function for an arbitrary ball. This is the traditional cut-off function in C-infinity for a ball of certain radius around center, \(f(r)=exp(1-1/(1-r**2/s**2))\), where \(r\) is the distance to the center, and \(s\) is the radius of the sphere. If vector valued, it can be restricted to a single component.

Author: Guido Kanschat, 2001, 2002

Definition at line 1279 of file function_lib.h.

Constructor & Destructor Documentation

◆ CutOffFunctionCinfty()

template<int dim>

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

Constructor. Arguments are the center of the ball and its radius.

If an argument select is given, the cut-off function will be non-zero for this component only.

Definition at line 377 of file function_lib_cutoff.cc.

Member Function Documentation

◆ value()

template<int dim>

double Functions::CutOffFunctionCinfty< dim >::value	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Function value at one point.

Reimplemented from Function< dim >.

Definition at line 394 of file function_lib_cutoff.cc.

◆ value_list()

template<int dim>

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

overridevirtual

Function values at multiple points.

Reimplemented from Function< dim >.

Definition at line 413 of file function_lib_cutoff.cc.

◆ vector_value_list()

template<int dim>

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

overridevirtual

Function values at multiple points.

Reimplemented from Function< dim >.

Definition at line 445 of file function_lib_cutoff.cc.

◆ gradient()

template<int dim>

Tensor< 1, dim > Functions::CutOffFunctionCinfty< dim >::gradient	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Function gradient at one point.

Reimplemented from Function< dim >.

Definition at line 478 of file function_lib_cutoff.cc.

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

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

Public Member Functions

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ CutOffFunctionCinfty()

Member Function Documentation

◆ value()

◆ value_list()

◆ vector_value_list()

◆ gradient()

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