Functions::CutOffFunctionLinfty< dim > Class Template Reference

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

Inheritance diagram for Functions::CutOffFunctionLinfty< dim >:

Public Types
using	time_type = typename FunctionTime< typename numbers::NumberTraits< RangeNumberType >::real_type >::time_type

Public Member Functions
	CutOffFunctionLinfty (const double radius=1., const Point< dim >=Point< dim >(), const unsigned int n_components=1, const unsigned int select=CutOffFunctionBase< dim >::no_component, const 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 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
virtual void	vector_value (const Point< dim > &p, Vector< RangeNumberType > &values) const
virtual void	value_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const
virtual void	vector_value_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &values) const
virtual void	vector_values (const std::vector< Point< dim > > &points, std::vector< std::vector< RangeNumberType > > &values) const
virtual Tensor< 1, dim, RangeNumberType >	gradient (const Point< dim > &p, const unsigned int component=0) const
virtual void	vector_gradient (const Point< dim > &p, std::vector< Tensor< 1, dim, RangeNumberType > > &gradients) const
virtual void	gradient_list (const std::vector< Point< dim > > &points, std::vector< Tensor< 1, dim, RangeNumberType > > &gradients, const unsigned int component=0) const
virtual void	vector_gradients (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const
virtual void	vector_gradient_list (const std::vector< Point< dim > > &points, std::vector< std::vector< Tensor< 1, dim, RangeNumberType > > > &gradients) const
virtual RangeNumberType	laplacian (const Point< dim > &p, const unsigned int component=0) const
virtual void	vector_laplacian (const Point< dim > &p, Vector< RangeNumberType > &values) const
virtual void	laplacian_list (const std::vector< Point< dim > > &points, std::vector< RangeNumberType > &values, const unsigned int component=0) const
virtual void	vector_laplacian_list (const std::vector< Point< dim > > &points, std::vector< Vector< RangeNumberType > > &values) const
virtual SymmetricTensor< 2, dim, RangeNumberType >	hessian (const Point< dim > &p, const unsigned int component=0) const
virtual void	vector_hessian (const Point< dim > &p, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &values) const
virtual void	hessian_list (const std::vector< Point< dim > > &points, std::vector< SymmetricTensor< 2, dim, RangeNumberType > > &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, RangeNumberType > > > &values) const
virtual std::size_t	memory_consumption () const
Number	get_time () const
virtual void	set_time (const Number new_time)
virtual void	advance_time (const Number delta_t)

Public Attributes
const unsigned int	n_components

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

Protected Attributes
Point< dim >	center
double	radius
const unsigned int	selected
bool	integrate_to_one
const double	unitary_integral_value
double	rescaling

Private Attributes
Number	time

Subscriptor functionality
Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class.
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)
std::atomic< unsigned int >	counter
std::map< std::string, unsigned int >	counter_map
std::vector< std::atomic< bool > * >	validity_pointers
const std::type_info *	object_info
using	map_value_type = decltype(counter_map)::value_type
using	map_iterator = decltype(counter_map)::iterator
static std::mutex	mutex
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)
static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)
void	check_no_subscribers () const noexcept

Detailed Description

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

Cut-off function in L-infinity for an arbitrary ball. This function is the characteristic function of a ball around center with a specified radius, that is,

\[ f = \chi(B_r(c)). \]

If vector valued, it can be restricted to a single component.

Definition at line 1106 of file function_lib.h.

Member Typedef Documentation

time_type

template<int dim, typename RangeNumberType = double>

using Function< dim, RangeNumberType >::time_type = typename FunctionTime< typename numbers::NumberTraits<RangeNumberType>::real_type>::time_type

inherited

The scalar-valued real type used for representing time.

Definition at line 169 of file function.h.

Constructor & Destructor Documentation

CutOffFunctionLinfty()

template<int dim>

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

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

If an argument select is given and not -1, the cut-off function will be non-zero for this component only.

Definition at line 207 of file function_lib_cutoff.cc.

Member Function Documentation

value()

template<int dim>

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

overridevirtual

Function value at one point.

Reimplemented from Function< dim, RangeNumberType >.

Definition at line 224 of file function_lib_cutoff.cc.

value_list() [1/2]

template<int dim>

void Functions::CutOffFunctionLinfty< 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.

Definition at line 236 of file function_lib_cutoff.cc.

vector_value_list() [1/2]

template<int dim>

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

overridevirtual

Function values at multiple points.

Definition at line 258 of file function_lib_cutoff.cc.

set_center()

template<int dim>

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

virtualinherited

Set the center of the ball to the point p.

Reimplemented in Functions::CutOffFunctionTensorProduct< dim >.

Definition at line 54 of file function_lib_cutoff.cc.

set_radius()

template<int dim>

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

virtualinherited

Set the radius of the ball to r

Reimplemented in Functions::CutOffFunctionTensorProduct< dim >.

Definition at line 72 of file function_lib_cutoff.cc.

get_center()

template<int dim>

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

inherited

Return the center stored in this object.

Definition at line 63 of file function_lib_cutoff.cc.

get_radius()

template<int dim>

double Functions::CutOffFunctionBase< dim >::get_radius

inherited

Return the radius stored in this object.

Definition at line 87 of file function_lib_cutoff.cc.

integrates_to_one()

template<int dim>

bool Functions::CutOffFunctionBase< dim >::integrates_to_one

inherited

Return a boolean indicating whether this function integrates to one.

Definition at line 96 of file function_lib_cutoff.cc.

vector_value()

template<int dim, typename RangeNumberType = double>

virtual void Function< dim, RangeNumberType >::vector_value ( const Point< dim > &  p, Vector< RangeNumberType > &  values  ) const

virtualinherited

Return all components of a vector-valued function at a given point.

values shall have the right size beforehand, i.e. n_components.

The default implementation will call value() for each component.

Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, ComponentSelectFunction< dim, RangeNumberType >, VectorFunctionFromScalarFunctionObject< dim, RangeNumberType >, VectorFunctionFromTensorFunction< dim, RangeNumberType >, Functions::IncrementalFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.

value_list() [2/2]

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Set values to the point values of the specified component of the function at the points. It is assumed that values already has the right size, i.e. the same size as the points array.

By default, this function repeatedly calls value() for each point separately, to fill the output array.

Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.

vector_value_list() [2/2]

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Set values to the point values of the function at the points. It is assumed that values already has the right size, i.e. the same size as the points array, and that all elements be vectors with the same number of components as this function has.

By default, this function repeatedly calls vector_value() for each point separately, to fill the output array.

Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, VectorFunctionFromTensorFunction< dim, RangeNumberType >, ComponentSelectFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.

vector_values()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

For each component of the function, fill a vector of values, one for each point.

The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.

gradient()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Return the gradient of the specified component of the function at the given point.

Reimplemented in Functions::SignedDistance::Plane< dim >, Functions::SignedDistance::Ellipsoid< dim >, Functions::CosineGradFunction< dim >, AutoDerivativeFunction< dim >, Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::IdentityFunction< dim, RangeNumberType >, FunctionFromFunctionObjects< dim, RangeNumberType >, Functions::Bessel1< dim >, Functions::CSpline< dim >, Functions::SquareFunction< dim >, Functions::Q1WedgeFunction< dim >, Functions::PillowFunction< dim >, Functions::CosineFunction< dim >, Functions::ExpFunction< dim >, Functions::SlitSingularityFunction< dim >, Functions::JumpFunction< dim >, Functions::FourierCosineFunction< dim >, Functions::FourierSineFunction< dim >, Functions::FourierSineSum< dim >, Functions::FourierCosineSum< dim >, Functions::CutOffFunctionTensorProduct< dim >, Functions::CutOffFunctionC1< dim >, Functions::CutOffFunctionCinfty< dim >, Functions::Monomial< dim, Number >, Functions::InterpolatedTensorProductGridData< dim >, Functions::InterpolatedUniformGridData< dim >, Functions::Polynomial< dim >, Functions::Spherical< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, Functions::FEFieldFunction< dim, VectorType, spacedim >, Functions::CoordinateRestriction< dim >, Functions::SignedDistance::Sphere< dim >, and NonMatching::internal::DiscreteQuadratureGeneratorImplementation::RefSpaceFEFieldFunction< dim, VectorType >.

vector_gradient()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Return the gradient of all components of the function at the given point.

Reimplemented in Functions::ConstantFunction< dim, RangeNumberType >, and Functions::FEFieldFunction< dim, VectorType, spacedim >.

gradient_list()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Set gradients to the gradients of the specified component of the function at the points. It is assumed that gradients already has the right size, i.e. the same size as the points array.

Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >, and Functions::ConstantFunction< dim, RangeNumberType >.

vector_gradients()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

For each component of the function, fill a vector of gradient values, one for each point.

The default implementation of this function in Function calls value_list() for each component. In order to improve performance, this can be reimplemented in derived classes to speed up performance.

vector_gradient_list()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Set gradients to the gradients of the function at the points, for all components. It is assumed that gradients already has the right size, i.e. the same size as the points array.

The outer loop over gradients is over the points in the list, the inner loop over the different components of the function.

Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >, and Functions::ConstantFunction< dim, RangeNumberType >.

laplacian()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Compute the Laplacian of a given component at point p.

Reimplemented in Functions::CosineGradFunction< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::CSpline< dim >, Functions::SquareFunction< dim >, Functions::Q1WedgeFunction< dim >, Functions::PillowFunction< dim >, Functions::CosineFunction< dim >, Functions::ExpFunction< dim >, Functions::SlitSingularityFunction< dim >, Functions::JumpFunction< dim >, Functions::FourierCosineFunction< dim >, Functions::FourierSineFunction< dim >, Functions::FourierSineSum< dim >, Functions::FourierCosineSum< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, Functions::FEFieldFunction< dim, VectorType, spacedim >, Functions::ConstantFunction< dim, RangeNumberType >, and Functions::ConstantFunction< dim, double >.

vector_laplacian()

template<int dim, typename RangeNumberType = double>

virtual void Function< dim, RangeNumberType >::vector_laplacian ( const Point< dim > &  p, Vector< RangeNumberType > &  values  ) const

virtualinherited

Compute the Laplacian of all components at point p and store them in values.

Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >.

laplacian_list()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Compute the Laplacian of one component at a set of points.

Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >.

vector_laplacian_list()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Compute the Laplacians of all components at a set of points.

Reimplemented in Functions::FEFieldFunction< dim, VectorType, spacedim >.

hessian()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Compute the Hessian of a given component at point p, that is the gradient of the gradient of the function.

Reimplemented in Functions::SignedDistance::Plane< dim >, Functions::IdentityFunction< dim, RangeNumberType >, Functions::CSpline< dim >, Functions::CosineFunction< dim >, Functions::Spherical< dim >, Functions::SymbolicFunction< dim, RangeNumberType >, Functions::CoordinateRestriction< dim >, Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, Functions::SignedDistance::Sphere< dim >, and NonMatching::internal::DiscreteQuadratureGeneratorImplementation::RefSpaceFEFieldFunction< dim, VectorType >.

vector_hessian()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Compute the Hessian of all components at point p and store them in values.

hessian_list()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Compute the Hessian of one component at a set of points.

vector_hessian_list()

template<int dim, typename RangeNumberType = double>

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

virtualinherited

Compute the Hessians of all components at a set of points.

memory_consumption()

template<int dim, typename RangeNumberType = double>

virtual std::size_t Function< dim, RangeNumberType >::memory_consumption ( ) const

virtualinherited

Return an estimate for the memory consumption, in bytes, of this object.

This function is virtual and can be overloaded by derived classes.

Reimplemented in Functions::FlowFunction< dim >, Functions::FlowFunction< 2 >, Functions::ConstantFunction< dim, RangeNumberType >, Functions::ConstantFunction< dim, double >, ComponentSelectFunction< dim, RangeNumberType >, Functions::CSpline< dim >, FunctionDerivative< dim >, Functions::JumpFunction< dim >, Functions::InterpolatedTensorProductGridData< dim >, Functions::InterpolatedUniformGridData< dim >, Functions::Polynomial< dim >, and Functions::Spherical< dim >.

get_time()

template<typename Number = double>

Number FunctionTime< Number >::get_time ( ) const

inherited

Return the value of the time variable.

set_time()

template<typename Number = double>

virtual void FunctionTime< Number >::set_time ( const Number  new_time )

virtualinherited

Set the time to new_time, overwriting the old value.

advance_time()

template<typename Number = double>

virtual void FunctionTime< Number >::advance_time ( const Number  delta_t )

virtualinherited

Advance the time by the given time step delta_t.

Member Data Documentation

no_component

template<int dim>

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

staticinherited

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

Definition at line 932 of file function_lib.h.

center

template<int dim>

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

protectedinherited

Center of the integration ball.

Definition at line 996 of file function_lib.h.

radius

template<int dim>

double Functions::CutOffFunctionBase< dim >::radius

protectedinherited

Radius of the ball.

Definition at line 1001 of file function_lib.h.

selected

template<int dim>

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

protectedinherited

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

Definition at line 1007 of file function_lib.h.

integrate_to_one

template<int dim>

bool Functions::CutOffFunctionBase< dim >::integrate_to_one

protectedinherited

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

Definition at line 1012 of file function_lib.h.

unitary_integral_value

template<int dim>

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

protectedinherited

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

Definition at line 1018 of file function_lib.h.

rescaling

template<int dim>

double Functions::CutOffFunctionBase< dim >::rescaling

protectedinherited

Current rescaling to apply the cut-off function.

Definition at line 1023 of file function_lib.h.

dimension

template<int dim, typename RangeNumberType = double>

constexpr unsigned int Function< dim, RangeNumberType >::dimension = dim

staticconstexprinherited

Export the value of the template parameter as a static member constant. Sometimes useful for some expression template programming.

Definition at line 159 of file function.h.

n_components

template<int dim, typename RangeNumberType = double>

const unsigned int Function< dim, RangeNumberType >::n_components

inherited

Number of vector components.

Definition at line 164 of file function.h.

time

template<typename Number = double>

Number FunctionTime< Number >::time

privateinherited

Store the present time.

Definition at line 113 of file function_time.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