PolynomialLocalX< Field > Class Template Reference

#include <polynomial-local-x.h>

Data Structures
struct	Element

Public Types
typedef Field::Element	Polynomial
typedef Field::CoeffField	CoeffField
typedef Field::Coeff	Coeff
typedef Field::Element_ptr	Element_ptr
typedef Field::ConstElement_ptr	ConstElement_ptr

Public Member Functions
	PolynomialLocalX (const Field &F, size_t exponent)
	PolynomialLocalX (const PolynomialLocalX &P)
	PolynomialLocalX (const PolynomialLocalX &P, size_t exponent)
void	setExponent (size_t exponent)
size_t	getExponent () const
const CoeffField &	getCoeffField () const
size_t	firstNonZeroCoeff (const Element &a) const
Element &	normalize (Element &a, const Polynomial &b) const
Element &	normalize (Element &a, const Element &b) const
Polynomial &	denormalize (Polynomial &a, const Element &b) const
Element &	assign (Element &a, const Element &b) const
Element &	init (Element &p) const
Element &	init (Element &p, const std::vector< integer > &v) const
Element &	init (Element &a, const Polynomial &b) const
integer &	convert (integer &a, const Element &b) const
std::ostream &	write (std::ostream &os) const
std::ostream &	write (std::ostream &os, const Element &p) const
std::ostream &	writeNormalized (std::ostream &os, const Element &p) const
bool	isZero (const Element &a) const
bool	isOne (const Element &a) const
bool	isMOne (const Element &a) const
bool	areEqual (const Element &a, const Element &b) const
bool	isUnit (const Element &a) const
size_t	deg (const Element &p) const
Coeff &	getCoeff (Coeff &c, const Element &a, size_t e) const
Coeff &	leadCoeff (Coeff &c, const Element &a) const
Element &	monic (Element &m, const Element &a) const
bool	isDivisor (const Element &a, const Element &b) const
	returns true if b divides a evenly
Element &	leftShift (Element &b, const Element &a, size_t e) const
Element &	rightShift (Element &b, const Element &a, size_t e) const
Element &	rightShiftIn (Element &b, size_t e) const
Element &	div (Element &q, const Element &a, const Element &b) const
Element &	divin (Element &a, const Element &b) const
Element &	mul (Element &c, const Element &a, const Element &b) const
Element &	mulin (Element &a, const Element &b) const
Element &	pow (Element &r, const Element &a, size_t e)
Element &	add (Element &c, const Element &a, const Element &b) const
Element &	addin (Element &a, const Element &b) const
Element &	neg (Element &a, const Element &b) const
Element &	negin (Element &a) const
Element &	axpy (Element &r, const Element &a, const Element &x, const Element &y) const
Element &	axpyin (Element &r, const Element &a, const Element &x) const
Element &	inv (Element &r, const Element &a)

Data Fields
const Field	_F
const Element	zero
const Element	one
const Element	mOne
const Element	X
size_t	exp

Member Typedef Documentation

Polynomial

template<class Field>

typedef Field::Element Polynomial

CoeffField

template<class Field>

typedef Field::CoeffField CoeffField

Coeff

template<class Field>

typedef Field::Coeff Coeff

Element_ptr

template<class Field>

typedef Field::Element_ptr Element_ptr

ConstElement_ptr

template<class Field>

typedef Field::ConstElement_ptr ConstElement_ptr

Constructor & Destructor Documentation

PolynomialLocalX() [1/3]

template<class Field>

PolynomialLocalX ( const Field & F, size_t exponent )

inline

PolynomialLocalX() [2/3]

template<class Field>

PolynomialLocalX ( const PolynomialLocalX< Field > & P )

inline

PolynomialLocalX() [3/3]

template<class Field>

PolynomialLocalX ( const PolynomialLocalX< Field > & P, size_t exponent )

inline

Member Function Documentation

setExponent()

template<class Field>

void setExponent ( size_t exponent )

inline

getExponent()

template<class Field>

size_t getExponent ( ) const

inline

getCoeffField()

template<class Field>

const CoeffField & getCoeffField ( ) const

inline

firstNonZeroCoeff()

template<class Field>

size_t firstNonZeroCoeff ( const Element & a ) const

inline

normalize() [1/2]

template<class Field>

Element & normalize ( Element & a, const Polynomial & b ) const

inline

normalize() [2/2]

template<class Field>

Element & normalize ( Element & a, const Element & b ) const

inline

denormalize()

template<class Field>

Polynomial & denormalize ( Polynomial & a, const Element & b ) const

inline

assign()

template<class Field>

Element & assign ( Element & a, const Element & b ) const

inline

init() [1/3]

template<class Field>

Element & init ( Element & p ) const

inline

init() [2/3]

template<class Field>

Element & init ( Element & p, const std::vector< integer > & v ) const

inline

init() [3/3]

template<class Field>

Element & init ( Element & a, const Polynomial & b ) const

inline

convert()

template<class Field>

integer & convert ( integer & a, const Element & b ) const

inline

write() [1/2]

template<class Field>

std::ostream & write ( std::ostream & os ) const

inline

write() [2/2]

template<class Field>

std::ostream & write ( std::ostream & os, const Element & p ) const

inline

writeNormalized()

template<class Field>

std::ostream & writeNormalized ( std::ostream & os, const Element & p ) const

inline

isZero()

template<class Field>

bool isZero ( const Element & a ) const

inline

isOne()

template<class Field>

bool isOne ( const Element & a ) const

inline

isMOne()

template<class Field>

bool isMOne ( const Element & a ) const

inline

areEqual()

template<class Field>

bool areEqual ( const Element & a, const Element & b ) const

inline

isUnit()

template<class Field>

bool isUnit ( const Element & a ) const

inline

deg()

template<class Field>

size_t deg ( const Element & p ) const

inline

getCoeff()

template<class Field>

Coeff & getCoeff ( Coeff & c, const Element & a, size_t e ) const

inline

leadCoeff()

template<class Field>

Coeff & leadCoeff ( Coeff & c, const Element & a ) const

inline

monic()

template<class Field>

Element & monic ( Element & m, const Element & a ) const

inline

isDivisor()

template<class Field>

bool isDivisor ( const Element & a, const Element & b ) const

inline

returns true if b divides a evenly

leftShift()

template<class Field>

Element & leftShift ( Element & b, const Element & a, size_t e ) const

inline

rightShift()

template<class Field>

Element & rightShift ( Element & b, const Element & a, size_t e ) const

inline

rightShiftIn()

template<class Field>

Element & rightShiftIn ( Element & b, size_t e ) const

inline

div()

template<class Field>

Element & div ( Element & q, const Element & a, const Element & b ) const

inline

divin()

template<class Field>

Element & divin ( Element & a, const Element & b ) const

inline

mul()

template<class Field>

Element & mul ( Element & c, const Element & a, const Element & b ) const

inline

mulin()

template<class Field>

Element & mulin ( Element & a, const Element & b ) const

inline

pow()

template<class Field>

Element & pow ( Element & r, const Element & a, size_t e )

inline

add()

template<class Field>

Element & add ( Element & c, const Element & a, const Element & b ) const

inline

addin()

template<class Field>

Element & addin ( Element & a, const Element & b ) const

inline

neg()

template<class Field>

Element & neg ( Element & a, const Element & b ) const

inline

negin()

template<class Field>

Element & negin ( Element & a ) const

inline

axpy()

template<class Field>

Element & axpy ( Element & r, const Element & a, const Element & x, const Element & y ) const

inline

axpyin()

template<class Field>

Element & axpyin ( Element & r, const Element & a, const Element & x ) const

inline

inv()

template<class Field>

Element & inv ( Element & r, const Element & a )

inline

Field Documentation

_F

template<class Field>

const Field _F

zero

template<class Field>

const Element zero

one

template<class Field>

const Element one

mOne

template<class Field>

const Element mOne

X

template<class Field>

const Element X

exp

template<class Field>

size_t exp

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

• polynomial-local-x.h