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

Inheritance diagram for Functions::Monomial< dim >:

Public Member Functions
	Monomial (const Tensor< 1, dim > &exponents, const unsigned int n_components=1)

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

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

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

virtual Tensor< 1, dim >	gradient (const Point< dim > &p, 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_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 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)

Private Attributes
const Tensor< 1, dim >	exponents

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::Monomial< dim >

A class that represents a function object for a monomial. Monomials are polynomials with only a single term, i.e. in 1-d they have the form \(x^\alpha\), in 2-d the form \(x_1^{\alpha_1}x_2^{\alpha_2}\), and in 3-d \(x_1^{\alpha_1}x_2^{\alpha_2}x_3^{\alpha_3}\). Monomials are therefore described by a \(dim\)-tuple of exponents. Consequently, the class's constructor takes a Tensor<1,dim> to describe the set of exponents. Most of the time these exponents will of course be integers, but real exponents are of course equally valid. Exponents can't be real when the bases are negative numbers.

Author: Wolfgang Bangerth, 2006

Definition at line 1341 of file function_lib.h.

Constructor & Destructor Documentation

◆ Monomial()

template<int dim>

Functions::Monomial< dim >::Monomial	(	const Tensor< 1, dim > &	exponents,
		const unsigned int	n_components = `1`
	)

Constructor. The first argument is explained in the general description of the class. The second argument denotes the number of vector components this object shall represent. All vector components will have the same value.

Definition at line 2170 of file function_lib.cc.

Member Function Documentation

◆ value()

template<int dim>

double Functions::Monomial< 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 2180 of file function_lib.cc.

◆ vector_value()

template<int dim>

void Functions::Monomial< dim >::vector_value	(	const Point< dim > &	p,
		Vector< double > &	values
	)		const

overridevirtual

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

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

Reimplemented from Function< dim >.

Definition at line 2201 of file function_lib.cc.

◆ value_list()

template<int dim>

void Functions::Monomial< 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 2253 of file function_lib.cc.

◆ gradient()

template<int dim>

Tensor< 1, dim > Functions::Monomial< 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 2214 of file function_lib.cc.

Member Data Documentation

◆ exponents

template<int dim>

const Tensor<1, dim> Functions::Monomial< dim >::exponents

private

The set of exponents.

Definition at line 1387 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.cc

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

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

Constructor & Destructor Documentation

◆ Monomial()

Member Function Documentation

◆ value()

◆ vector_value()

◆ value_list()

◆ gradient()

Member Data Documentation

◆ exponents

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