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details StaticPolynomial< MAXORDER, T > Class Template Reference VIGRA

#include <vigra/polynomial.hxx>

Inheritance diagram for StaticPolynomial< MAXORDER, T >:
PolynomialView< T >

Public Member Functions

StaticPolynomial< MAXORDER, ComplexgetDeflated (Complex const &r) const
 
StaticPolynomial getDeflated (Real r) const
 
StaticPolynomial getDerivative (unsigned int n=1) const
 
StaticPolynomialoperator= (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.
 
const T & 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 const T * 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]

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]

StaticPolynomial ( StaticPolynomial< MAXORDER, T > const &  p)

Copy constructor

◆ StaticPolynomial() [3/4]

StaticPolynomial ( ITER  i,
unsigned int  order 
)

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

◆ StaticPolynomial() [4/4]

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=()

StaticPolynomial& operator= ( StaticPolynomial< MAXORDER, T > const &  p)

Assigment.

◆ getDerivative()

StaticPolynomial getDerivative ( unsigned int  n = 1) const

Construct new polynomial representing the derivative of this polynomial.

◆ getDeflated() [1/2]

StaticPolynomial getDeflated ( Real  r) const

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

◆ getDeflated() [2/2]

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.


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

© Ullrich Köthe (ullrich.koethe@iwr.uni-heidelberg.de)
Heidelberg Collaboratory for Image Processing, University of Heidelberg, Germany

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vigra 1.11.1