Polynomials::Monomial< number > Class Template Reference

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

Inheritance diagram for Polynomials::Monomial< number >:

Public Member Functions
	Monomial (const unsigned int n, const double coefficient=1.)
Public Member Functions inherited from Polynomials::Polynomial< number >
	Polynomial (const std::vector< number > &coefficients)
	Polynomial (const unsigned int n)
	Polynomial (const std::vector< Point< 1 >> &lagrange_support_points, const unsigned int evaluation_point)
	Polynomial ()
number	value (const number x) const
void	value (const number x, std::vector< number > &values) const
void	value (const number x, const unsigned int n_derivatives, number *values) const
unsigned int	degree () const
void	scale (const number factor)
template<typename number2 >
void	shift (const number2 offset)
Polynomial< number >	derivative () const
Polynomial< number >	primitive () const
Polynomial< number > &	operator*= (const double s)
Polynomial< number > &	operator*= (const Polynomial< number > &p)
Polynomial< number > &	operator+= (const Polynomial< number > &p)
Polynomial< number > &	operator-= (const Polynomial< number > &p)
bool	operator== (const Polynomial< number > &p) const
void	print (std::ostream &out) const
template<class Archive >
void	serialize (Archive &ar, const unsigned int version)
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 Member Functions
static std::vector< Polynomial< number > >	generate_complete_basis (const unsigned int degree)
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)

Static Private Member Functions
static std::vector< number >	make_vector (unsigned int n, const double coefficient)

Additional Inherited Members
Protected Member Functions inherited from Polynomials::Polynomial< number >
void	transform_into_standard_form ()
Static Protected Member Functions inherited from Polynomials::Polynomial< number >
static void	scale (std::vector< number > &coefficients, const number factor)
template<typename number2 >
static void	shift (std::vector< number > &coefficients, const number2 shift)
static void	multiply (std::vector< number > &coefficients, const number factor)
Protected Attributes inherited from Polynomials::Polynomial< number >
std::vector< number >	coefficients
bool	in_lagrange_product_form
std::vector< number >	lagrange_support_points
number	lagrange_weight

Detailed Description

template<typename number>
class Polynomials::Monomial< number >

Class generates Polynomial objects representing a monomial of degree n, that is, the function \(x^n\).

Author

Guido Kanschat, 2004

Definition at line 293 of file polynomial.h.

Constructor & Destructor Documentation

Monomial()

template<typename number >

Polynomials::Monomial< number >::Monomial	(	const unsigned int	n,
		const double	coefficient = 1.
	)

Constructor, taking the degree of the monomial and an optional coefficient as arguments.

Definition at line 678 of file polynomial.cc.

Member Function Documentation

generate_complete_basis()

template<typename number >

std::vector< Polynomial< number > > Polynomials::Monomial< number >::generate_complete_basis ( const unsigned int  degree )

static

Return a vector of Monomial objects of degree zero through degree, which then spans the full space of polynomials up to the given degree. This function may be used to initialize the TensorProductPolynomials and PolynomialSpace classes.

Definition at line 686 of file polynomial.cc.

make_vector()

template<typename number >

std::vector< number > Polynomials::Monomial< number >::make_vector ( unsigned int  n, const double  coefficient  )

staticprivate

Needed by constructor.

Definition at line 668 of file polynomial.cc.

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

• deal.II/base/polynomial.h
• source/base/polynomial.cc