polynomi.h File Reference

Classes for polynomial basis and operations. More...

Go to the source code of this file.

Classes
class	PolynomialOver< T >
	represents single-variable polynomials over arbitrary rings More...
class	PolynomialOver< T >::DivideByZero
	division by zero exception More...
class	PolynomialOver< T >::RandomizationParameter
	specify the distribution for randomization functions More...
class	PolynomialOverFixedRing< T, instance >
	Polynomials over a fixed ring. More...
class	RingOfPolynomialsOver< T >
	Ring of polynomials over another ring. More...
class	RingOfPolynomialsOver< T >::InterpolationFailed

Functions
template<class Ring , class Element >
void	PrepareBulkPolynomialInterpolation (const Ring &ring, Element *w, const Element x[], unsigned int n)
template<class Ring , class Element >
void	PrepareBulkPolynomialInterpolationAt (const Ring &ring, Element *v, const Element &position, const Element x[], const Element w[], unsigned int n)
template<class Ring , class Element >
Element	BulkPolynomialInterpolateAt (const Ring &ring, const Element y[], const Element v[], unsigned int n)
template<class T , int instance>
bool	operator== (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
bool	operator!= (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
bool	operator> (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
bool	operator>= (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
bool	operator< (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
bool	operator<= (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
inline ::PolynomialOverFixedRing< T, instance >	operator+ (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
inline ::PolynomialOverFixedRing< T, instance >	operator- (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
inline ::PolynomialOverFixedRing< T, instance >	operator* (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
inline ::PolynomialOverFixedRing< T, instance >	operator/ (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T , int instance>
inline ::PolynomialOverFixedRing< T, instance >	operator% (const ::PolynomialOverFixedRing< T, instance > &a, const ::PolynomialOverFixedRing< T, instance > &b)
template<class T >
void	swap (::PolynomialOver< T > &a, ::PolynomialOver< T > &b)
template<class T , int i>
void	swap (::PolynomialOverFixedRing< T, i > &a, ::PolynomialOverFixedRing< T, i > &b)

Detailed Description

Classes for polynomial basis and operations.

Definition in file polynomi.h.

Function Documentation

PrepareBulkPolynomialInterpolation()

template<class Ring , class Element >

void PrepareBulkPolynomialInterpolation	(	const Ring &	ring,
		Element *	w,
		const Element	x[],
		unsigned int	n
	)

Definition at line 515 of file polynomi.cpp.

PrepareBulkPolynomialInterpolationAt()

template<class Ring , class Element >

void PrepareBulkPolynomialInterpolationAt	(	const Ring &	ring,
		Element *	v,
		const Element &	position,
		const Element	x[],
		const Element	w[],
		unsigned int	n
	)

Definition at line 528 of file polynomi.cpp.

BulkPolynomialInterpolateAt()

template<class Ring , class Element >

Element BulkPolynomialInterpolateAt	(	const Ring &	ring,
		const Element	y[],
		const Element	v[],
		unsigned int	n
	)

Definition at line 555 of file polynomi.cpp.

operator==()

template<class T , int instance>

bool operator== ( const ::PolynomialOverFixedRing< T, instance > &  a, const ::PolynomialOverFixedRing< T, instance > &  b  )

inline

Definition at line 405 of file polynomi.h.

operator!=()

template<class T , int instance>

bool operator!= ( const ::PolynomialOverFixedRing< T, instance > &  a, const ::PolynomialOverFixedRing< T, instance > &  b  )

inline

Definition at line 409 of file polynomi.h.

operator>()

template<class T , int instance>

bool operator> ( const ::PolynomialOverFixedRing< T, instance > &  a, const ::PolynomialOverFixedRing< T, instance > &  b  )

inline

Definition at line 414 of file polynomi.h.

operator>=()

template<class T , int instance>

bool operator>= ( const ::PolynomialOverFixedRing< T, instance > &  a, const ::PolynomialOverFixedRing< T, instance > &  b  )

inline

Definition at line 418 of file polynomi.h.

operator<()

template<class T , int instance>

bool operator< ( const ::PolynomialOverFixedRing< T, instance > &  a, const ::PolynomialOverFixedRing< T, instance > &  b  )

inline

Definition at line 422 of file polynomi.h.

operator<=()

template<class T , int instance>

bool operator<= ( const ::PolynomialOverFixedRing< T, instance > &  a, const ::PolynomialOverFixedRing< T, instance > &  b  )

inline

Definition at line 426 of file polynomi.h.

operator+()

template<class T , int instance>

inline ::PolynomialOverFixedRing< T, instance > operator+	(	const ::PolynomialOverFixedRing< T, instance > &	a,
		const ::PolynomialOverFixedRing< T, instance > &	b
	)

Definition at line 431 of file polynomi.h.

operator-()

template<class T , int instance>

inline ::PolynomialOverFixedRing< T, instance > operator-	(	const ::PolynomialOverFixedRing< T, instance > &	a,
		const ::PolynomialOverFixedRing< T, instance > &	b
	)

Definition at line 435 of file polynomi.h.

operator*()

template<class T , int instance>

inline ::PolynomialOverFixedRing< T, instance > operator*	(	const ::PolynomialOverFixedRing< T, instance > &	a,
		const ::PolynomialOverFixedRing< T, instance > &	b
	)

Definition at line 439 of file polynomi.h.

operator/()

template<class T , int instance>

inline ::PolynomialOverFixedRing< T, instance > operator/	(	const ::PolynomialOverFixedRing< T, instance > &	a,
		const ::PolynomialOverFixedRing< T, instance > &	b
	)

Definition at line 443 of file polynomi.h.

operator%()

template<class T , int instance>

inline ::PolynomialOverFixedRing< T, instance > operator%	(	const ::PolynomialOverFixedRing< T, instance > &	a,
		const ::PolynomialOverFixedRing< T, instance > &	b
	)

Definition at line 447 of file polynomi.h.

swap() [1/2]

template<class T >

void swap ( ::PolynomialOver< T > &  a, ::PolynomialOver< T > &  b  )

inline

Definition at line 453 of file polynomi.h.

swap() [2/2]

template<class T , int i>

void swap ( ::PolynomialOverFixedRing< T, i > &  a, ::PolynomialOverFixedRing< T, i > &  b  )

inline

Definition at line 457 of file polynomi.h.