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

Inheritance diagram for Functions::CosineFunction< dim >:

Public Member Functions
	CosineFunction (const unsigned int n_components=1)

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

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

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

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

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

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

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

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

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

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

Detailed Description

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

Cosine-shaped pillow function. This is another function with zero boundary values on \([-1,1]^d\). In the interior it is the product of \(\cos(\pi/2 x_i)\).

Author: Guido Kanschat, 1999

Definition at line 223 of file function_lib.h.

Constructor & Destructor Documentation

◆ CosineFunction()

template<int dim>

Functions::CosineFunction< dim >::CosineFunction ( const unsigned int n_components = 1 )

Constructor which allows to optionally generate a vector valued cosine function with the same value in each component.

Definition at line 425 of file function_lib.cc.

Member Function Documentation

◆ value()

template<int dim>

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

overridevirtual

Return the value of the function at the given point. Unless there is only one component (i.e. the function is scalar), you should state the component you want to have evaluated; it defaults to zero, i.e. the first component.

Reimplemented from Function< dim >.

Definition at line 433 of file function_lib.cc.

◆ value_list()

template<int dim>

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

overridevirtual

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 from Function< dim >.

Definition at line 454 of file function_lib.cc.

◆ vector_value_list()

template<int dim>

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

overridevirtual

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 from Function< dim >.

Definition at line 468 of file function_lib.cc.

◆ gradient()

template<int dim>

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

overridevirtual

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

Reimplemented from Function< dim >.

Definition at line 523 of file function_lib.cc.

◆ gradient_list()

template<int dim>

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

overridevirtual

Definition at line 556 of file function_lib.cc.

◆ laplacian()

template<int dim>

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

overridevirtual

Compute the Laplacian of a given component at point p.

Reimplemented from Function< dim >.

Definition at line 486 of file function_lib.cc.

◆ laplacian_list()

template<int dim>

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

overridevirtual

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

Reimplemented from Function< dim >.

Definition at line 510 of file function_lib.cc.

◆ hessian()

template<int dim>

SymmetricTensor< 2, dim > Functions::CosineFunction< dim >::hessian	(	const Point< dim > &	p,
		const unsigned int	component = `0`
	)		const

overridevirtual

Second derivatives at a single point.

Reimplemented from Function< dim >.

Definition at line 598 of file function_lib.cc.

◆ hessian_list()

template<int dim>

void Functions::CosineFunction< dim >::hessian_list	(	const std::vector< Point< dim >> &	points,
		std::vector< SymmetricTensor< 2, dim >> &	hessians,
		const unsigned int	component = `0`
	)		const

overridevirtual

Second derivatives at multiple points.

Definition at line 652 of file function_lib.cc.

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

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

Public Member Functions

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ CosineFunction()

Member Function Documentation

◆ value()

◆ value_list()

◆ vector_value_list()

◆ gradient()

◆ gradient_list()

◆ laplacian()

◆ laplacian_list()

◆ hessian()

◆ hessian_list()

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