Polynomials::Monomial< number > Class Template Reference

#include <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
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 &)
virtual	~Subscriptor ()
Subscriptor &	operator= (const Subscriptor &)
void	subscribe (const char *identifier=0) const
void	unsubscribe (const char *identifier=0) const
unsigned int	n_subscriptions () const
void	list_subscribers () const
	DeclException3 (ExcInUse, int, char *, std::string &,<< "Object of class "<< arg2<< " is still used by "<< arg1<< " other objects.\n"<< "(Additional information: "<< arg3<< ")\n"<< "Note the entry in the Frequently Asked Questions of "<< "deal.II (linked to from http://www.dealii.org/) for "<< "more information on what this error means.")
	DeclException2 (ExcNoSubscriber, char *, char *,<< "No subscriber with identifier \""<< arg2<< "\" did subscribe to this object of class "<< arg1)
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 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 .

Author

Guido Kanschat, 2004

Definition at line 254 of file polynomial.h.

Constructor & Destructor Documentation

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.

Member Function Documentation

template<typename number >

static 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.

template<typename number >

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

staticprivate

Needed by constructor.

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

• include/deal.II/base/polynomial.h