StaticPolynomial< MAXORDER, T > Class Template Reference

#include <vigra/polynomial.hxx>

Inheritance diagram for StaticPolynomial< MAXORDER, T >:

Public Member Functions
StaticPolynomial< MAXORDER, Complex >	getDeflated (Complex const &r) const
StaticPolynomial	getDeflated (Real r) const
StaticPolynomial	getDerivative (unsigned int n=1) const
StaticPolynomial &	operator= (StaticPolynomial const &p)
template<class ITER >
	StaticPolynomial (ITER i, unsigned int order)
template<class ITER >
	StaticPolynomial (ITER i, unsigned int order, double epsilon)
	StaticPolynomial (StaticPolynomial const &p)
	StaticPolynomial (unsigned int order=0, double epsilon=1.0e-14)
Public Member Functions inherited from PolynomialView< T >
void	backwardDeflate (T v)
iterator	begin ()
const_iterator	begin () const
void	deflate (T const &r, unsigned int multiplicity=1)
void	deflateConjugatePair (Complex const &v)
void	differentiate (unsigned int n=1)
iterator	end ()
const_iterator	end () const
double	epsilon () const
void	forwardBackwardDeflate (T v)
void	forwardDeflate (T const &v)
void	minimizeOrder (double epsilon=0.0)
void	normalize ()
template<class V >
PromoteTraits< T, V >::Promote	operator() (V v) const
T &	operator[] (unsigned int i)
	Access the coefficient of x^i.
T const &	operator[] (unsigned int i) const
	Access the coefficient of x^i.
unsigned int	order () const
	PolynomialView (T *coeffs, unsigned int order, double epsilon=1.0e-14)
void	setEpsilon (double eps)
unsigned int	size () const

Additional Inherited Members
Public Types inherited from PolynomialView< T >
typedef NumericTraits< RealPromote >::ComplexPromote	Complex
typedef T const *	const_iterator
typedef T *	iterator
typedef NumericTraits< RealPromote >::ValueType	Real
typedef NumericTraits< T >::RealPromote	RealPromote
typedef T	value_type

Detailed Description

template<unsigned int MAXORDER, class T>
class vigra::StaticPolynomial< MAXORDER, T >

Polynomial with internally managed array of static length.

Most interesting functionality is inherited from vigra::PolynomialView. This class differs from vigra::Polynomial in that it allocates its memory statically which is much faster. Therefore, StaticPolynomial can only represent polynomials up to the given MAXORDER.

See also

vigra::PolynomialView, vigra::Polynomial, polynomialRoots()

#include <vigra/polynomial.hxx>
Namespace: vigra

Constructor & Destructor Documentation

StaticPolynomial() [1/4]

template<unsigned int MAXORDER, class T >

StaticPolynomial	(	unsigned int	order = 0,
		double	epsilon = 1.0e-14
	)

Construct polynomial with given order <= MAXORDER and all coefficients set to zero (they can be set later using operator[] or the iterators). epsilon (default: 1.0e-14) determines the precision of subsequent algorithms (especially root finding) performed on the polynomial.

StaticPolynomial() [2/4]

template<unsigned int MAXORDER, class T >

StaticPolynomial

(

StaticPolynomial< MAXORDER, T > const &

p

)

Copy constructor

StaticPolynomial() [3/4]

template<unsigned int MAXORDER, class T >

template<class ITER >

StaticPolynomial	(	ITER	i,
		unsigned int	order
	)

Construct polynomial by copying the given coefficient sequence. order <= MAXORDER is required.

StaticPolynomial() [4/4]

template<unsigned int MAXORDER, class T >

template<class ITER >

StaticPolynomial	(	ITER	i,
		unsigned int	order,
		double	epsilon
	)

Construct polynomial by copying the given coefficient sequence. order <= MAXORDER is required. Set epsilon (default: 1.0e-14) as the precision of subsequent algorithms (especially root finding) performed on the polynomial.

Member Function Documentation

operator=()

template<unsigned int MAXORDER, class T >

StaticPolynomial & operator=

(

StaticPolynomial< MAXORDER, T > const &

p

)

Assigment.

getDerivative()

template<unsigned int MAXORDER, class T >

StaticPolynomial getDerivative

(

unsigned int

n = 1

)

const

Construct new polynomial representing the derivative of this polynomial.

getDeflated() [1/2]

template<unsigned int MAXORDER, class T >

StaticPolynomial getDeflated

(

Real

r

)

const

Construct new polynomial representing this polynomial after deflation at the real root r.

getDeflated() [2/2]

template<unsigned int MAXORDER, class T >

StaticPolynomial< MAXORDER, Complex > getDeflated

(

Complex const &

r

)

const

Construct new polynomial representing this polynomial after deflation at the complex root r. The resulting polynomial will have complex coefficients, even if this polynomial had real ones.

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

• vigra/polynomial.hxx