Polynomial< CoeffType > Class Template Reference

#include <polynomial.hpp>

Public Member Functions
	Polynomial ()=default
	Polynomial (const Polynomial &)=default
Polynomial &	operator= (const Polynomial &)=default
	Polynomial (Polynomial &&)=default
Polynomial &	operator= (Polynomial &&)=default
	~Polynomial ()=default
	Polynomial (const CoeffType &coeff)
	Polynomial (const std::vector< CoeffType > &coeffs)
void	SetCoefficient (std::size_t degree, CoeffType coefficient)
CoeffType	GetCoefficient (std::size_t degree) const
CoeffType	LeadingCoefficient () const
std::size_t	Degree () const
void	TruncateToDegree (std::size_t degree)
bool	IsZero () const
	operator std::vector< CoeffType > () const
template<typename ArgType >
auto	operator() (const ArgType &x) const -> decltype(CoeffType(0)*x)
Polynomial &	operator+= (const Polynomial &p)
Polynomial &	operator-= (const Polynomial &p)
Polynomial &	operator*= (const Polynomial &p)
Polynomial &	operator/= (const Polynomial &p)
Polynomial &	operator%= (const Polynomial &p)
Polynomial	operator- () const
Polynomial	operator+ () const
bool	operator!= (const Polynomial &p)
bool	operator== (const Polynomial &p)

Private Member Functions
void	Shrink ()

Private Attributes
std::vector< CoeffType >	coeffs_

Detailed Description

template<typename CoeffType>
class Polynomial< CoeffType >

Definition at line 27 of file polynomial.hpp.

Constructor & Destructor Documentation

template<typename CoeffType>

Polynomial< CoeffType >::Polynomial ( )

default

template<typename CoeffType>

Polynomial< CoeffType >::Polynomial ( const Polynomial< CoeffType > &  )

default

template<typename CoeffType>

Polynomial< CoeffType >::Polynomial ( Polynomial< CoeffType > &&  )

default

template<typename CoeffType>

Polynomial< CoeffType >::~Polynomial ( )

default

template<typename CoeffType>

Polynomial< CoeffType >::Polynomial ( const CoeffType &  coeff )

inline

Definition at line 36 of file polynomial.hpp.

References Polynomial< CoeffType >::Shrink().

template<typename CoeffType>

Polynomial< CoeffType >::Polynomial ( const std::vector< CoeffType > &  coeffs )

inline

Definition at line 41 of file polynomial.hpp.

References Polynomial< CoeffType >::Shrink().

Member Function Documentation

template<typename CoeffType>

std::size_t Polynomial< CoeffType >::Degree ( ) const

inline

Definition at line 67 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

Referenced by Polynomial< CoeffType >::operator%=(), Polynomial< CoeffType >::operator*=(), Polynomial< CoeffType >::operator/=(), operator<<(), SturmSequence(), and Polynomial< CoeffType >::TruncateToDegree().

template<typename CoeffType>

CoeffType Polynomial< CoeffType >::GetCoefficient ( std::size_t  degree ) const

inline

Definition at line 58 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

template<typename CoeffType>

bool Polynomial< CoeffType >::IsZero ( ) const

inline

Definition at line 78 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

Referenced by Polynomial< CoeffType >::operator%=(), and Polynomial< CoeffType >::operator/=().

template<typename CoeffType>

CoeffType Polynomial< CoeffType >::LeadingCoefficient ( ) const

inline

Definition at line 63 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

Referenced by Polynomial< CoeffType >::operator%=(), and Polynomial< CoeffType >::operator/=().

template<typename CoeffType>

Polynomial< CoeffType >::operator std::vector< CoeffType > ( ) const

inline

Definition at line 82 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

template<typename CoeffType>

bool Polynomial< CoeffType >::operator!= ( const Polynomial< CoeffType > &  p )

inline

Definition at line 182 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

template<typename CoeffType>

Polynomial& Polynomial< CoeffType >::operator%= ( const Polynomial< CoeffType > &  p )

inline

Definition at line 147 of file polynomial.hpp.

References Polynomial< CoeffType >::Degree(), Polynomial< CoeffType >::IsZero(), Polynomial< CoeffType >::LeadingCoefficient(), Polynomial< CoeffType >::SetCoefficient(), Polynomial< CoeffType >::Shrink(), and Polynomial< CoeffType >::TruncateToDegree().

template<typename CoeffType>

template<typename ArgType >

auto Polynomial< CoeffType >::operator() ( const ArgType &  x ) const -> decltype(CoeffType(0)*x)

inline

Definition at line 87 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

template<typename CoeffType>

Polynomial& Polynomial< CoeffType >::operator*= ( const Polynomial< CoeffType > &  p )

inline

Definition at line 118 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_, Polynomial< CoeffType >::Degree(), and Polynomial< CoeffType >::Shrink().

template<typename CoeffType>

Polynomial Polynomial< CoeffType >::operator+ ( ) const

inline

Definition at line 178 of file polynomial.hpp.

template<typename CoeffType>

Polynomial& Polynomial< CoeffType >::operator+= ( const Polynomial< CoeffType > &  p )

inline

Definition at line 96 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_, and Polynomial< CoeffType >::Shrink().

template<typename CoeffType>

Polynomial Polynomial< CoeffType >::operator- ( ) const

inline

Definition at line 170 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

template<typename CoeffType>

Polynomial& Polynomial< CoeffType >::operator-= ( const Polynomial< CoeffType > &  p )

inline

Definition at line 107 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_, and Polynomial< CoeffType >::Shrink().

template<typename CoeffType>

Polynomial& Polynomial< CoeffType >::operator/= ( const Polynomial< CoeffType > &  p )

inline

Definition at line 130 of file polynomial.hpp.

References Polynomial< CoeffType >::Degree(), Polynomial< CoeffType >::IsZero(), Polynomial< CoeffType >::LeadingCoefficient(), Polynomial< CoeffType >::SetCoefficient(), Polynomial< CoeffType >::Shrink(), and Polynomial< CoeffType >::TruncateToDegree().

template<typename CoeffType>

Polynomial& Polynomial< CoeffType >::operator= ( const Polynomial< CoeffType > &  )

default

template<typename CoeffType>

Polynomial& Polynomial< CoeffType >::operator= ( Polynomial< CoeffType > &&  )

default

template<typename CoeffType>

bool Polynomial< CoeffType >::operator== ( const Polynomial< CoeffType > &  p )

inline

Definition at line 186 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_.

template<typename CoeffType>

void Polynomial< CoeffType >::SetCoefficient ( std::size_t  degree, CoeffType  coefficient  )

inline

Definition at line 46 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_, and Polynomial< CoeffType >::Shrink().

Referenced by Polynomial< CoeffType >::operator%=(), and Polynomial< CoeffType >::operator/=().

template<typename CoeffType>

void Polynomial< CoeffType >::Shrink ( )

inlineprivate

Definition at line 193 of file polynomial.hpp.

Referenced by Polynomial< CoeffType >::operator%=(), Polynomial< CoeffType >::operator*=(), Polynomial< CoeffType >::operator+=(), Polynomial< CoeffType >::operator-=(), Polynomial< CoeffType >::operator/=(), Polynomial< CoeffType >::Polynomial(), Polynomial< CoeffType >::SetCoefficient(), and Polynomial< CoeffType >::TruncateToDegree().

template<typename CoeffType>

void Polynomial< CoeffType >::TruncateToDegree ( std::size_t  degree )

inline

Definition at line 71 of file polynomial.hpp.

References Polynomial< CoeffType >::coeffs_, Polynomial< CoeffType >::Degree(), and Polynomial< CoeffType >::Shrink().

Referenced by Polynomial< CoeffType >::operator%=(), and Polynomial< CoeffType >::operator/=().

Member Data Documentation

template<typename CoeffType>

std::vector<CoeffType> Polynomial< CoeffType >::coeffs_

private

Definition at line 191 of file polynomial.hpp.

Referenced by Polynomial< CoeffType >::Degree(), Polynomial< CoeffType >::GetCoefficient(), Polynomial< CoeffType >::IsZero(), Polynomial< CoeffType >::LeadingCoefficient(), Polynomial< CoeffType >::operator std::vector< CoeffType >(), Polynomial< CoeffType >::operator!=(), Polynomial< CoeffType >::operator()(), Polynomial< CoeffType >::operator*=(), Polynomial< CoeffType >::operator+=(), Polynomial< CoeffType >::operator-(), Polynomial< CoeffType >::operator-=(), Polynomial< CoeffType >::operator==(), Polynomial< CoeffType >::SetCoefficient(), and Polynomial< CoeffType >::TruncateToDegree().

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

• inc/polynomial.hpp