#include <givrational.h>

Collaboration diagram for RationalDom:

Public Types
typedef Rational	Element
typedef Rational	Rep

Public Member Functions
	RationalDom ()
template<class X >
	RationalDom (const X &x)
int	operator== (const RationalDom &) const
int	operator!= (const RationalDom &) const
unsigned long	characteristic () const
Integer &	characteristic (Integer &p) const
Rep &	init (Rep &a) const
Rep &	init (Rep &a, const Rep &b) const
Rep &	assign (Rep &a, const Rep &b) const
Rep &	mul (Rep &r, const Rep &a, const Rep &b) const
Rep &	div (Rep &r, const Rep &a, const Rep &b) const
Rep &	add (Rep &r, const Rep &a, const Rep &b) const
Rep &	sub (Rep &r, const Rep &a, const Rep &b) const
Rep &	mulin (Rep &r, const Rep &a) const
Rep &	divin (Rep &r, const Rep &a) const
Rep &	addin (Rep &r, const Rep &a) const
Rep &	subin (Rep &r, const Rep &a) const
Rep &	axpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
Rep &	axpyin (Rep &r, const Rep &a, const Rep &b) const
Rep &	maxpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
Rep &	axmy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
Rep &	axmyin (Rep &r, const Rep &a, const Rep &b) const
Rep &	maxpyin (Rep &r, const Rep &a, const Rep &b) const
Rep &	neg (Rep &r, const Rep &a) const
Rep &	inv (Rep &r, const Rep &a) const
Rep &	negin (Rep &r) const
Rep &	invin (Rep &r) const
Rep &	pow (Rep &r, const Rep &n, const unsigned long l) const
Rep &	pow (Rep &r, const Rep &n, const unsigned int l) const
Rep &	ratrecon (Rep &r, const Integer &f, const Integer &m, const Integer &k, bool recurs=false) const
Rep &	ratrecon (Rep &r, const Integer &f, const Integer &m, bool recurs=true) const
size_t	length (const Rep &a) const
int	sign (const Rep &a) const
int	isOne (const Rep &a) const
int	isZero (const Rep &a) const
int	areEqual (const Rep &a, const Rep &b) const
int	areNEqual (const Rep &a, const Rep &b) const
template<class RandIter >
Rep &	random (RandIter &g, Rep &r, long s=1) const
template<class RandIter >
Rep &	random (RandIter &g, Rep &r, const Rep &b) const
template<class RandIter >
Rep &	nonzerorandom (RandIter &g, Rep &r, long s=1) const
template<class RandIter >
Rep &	nonzerorandom (RandIter &g, Rep &r, const Rep &b) const
std::istream &	read (std::istream &i)
std::ostream &	write (std::ostream &o) const
std::istream &	read (std::istream &i, Rep &n) const
std::ostream &	write (std::ostream &o, const Rep &n) const

Data Fields
const Rational	one
const Rational	mOne
const Rational	zero

Detailed Description

Rational Domain.

Examples:: examples/FiniteField/all_field.C, examples/Polynomial/PolynomialCRT.C, examples/Rational/iratrecon.C, and examples/Rational/polydouble.C.

Member Typedef Documentation

typedef Rational Element

typedef Rational Rep

Constructor & Destructor Documentation

RationalDom ( )

inline

RationalDom ( const X & x )

inline

Member Function Documentation

int operator== ( const RationalDom & ) const

inline

int operator!= ( const RationalDom & ) const

inline

unsigned long characteristic ( ) const

inline

Integer& characteristic ( Integer & p ) const

inline

Rep& init ( Rep & a ) const

inline

Rep& init	(	Rep &	a,
		const Rep &	b
	)		const

inline

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

inline

Rep& mul	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& div	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& add	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& sub	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& mulin	(	Rep &	r,
		const Rep &	a
	)		const

inline

Rep& divin	(	Rep &	r,
		const Rep &	a
	)		const

inline

Rep& addin	(	Rep &	r,
		const Rep &	a
	)		const

inline

Rep& subin	(	Rep &	r,
		const Rep &	a
	)		const

inline

Rep& axpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	b,
		const Rep &	c
	)		const

inline

Rep& axpyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& maxpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	b,
		const Rep &	c
	)		const

inline

Rep& axmy	(	Rep &	r,
		const Rep &	a,
		const Rep &	b,
		const Rep &	c
	)		const

inline

Rep& axmyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& maxpyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& neg	(	Rep &	r,
		const Rep &	a
	)		const

inline

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

inline

Rep& negin ( Rep & r ) const

inline

Rep& invin ( Rep & r ) const

inline

Rep& pow	(	Rep &	r,
		const Rep &	n,
		const unsigned long	l
	)		const

inline

Rep& pow	(	Rep &	r,
		const Rep &	n,
		const unsigned int	l
	)		const

inline

Rep& ratrecon	(	Rep &	r,
		const Integer &	f,
		const Integer &	m,
		const Integer &	k,
		bool	recurs = `false`
	)		const

inline

Examples:: examples/Rational/iratrecon.C.

Rep& ratrecon	(	Rep &	r,
		const Integer &	f,
		const Integer &	m,
		bool	recurs = `true`
	)		const

inline

size_t length ( const Rep & a ) const

inline

int sign ( const Rep & a ) const

inline

int isOne ( const Rep & a ) const

inline

int isZero ( const Rep & a ) const

inline

int areEqual	(	const Rep &	a,
		const Rep &	b
	)		const

inline

int areNEqual	(	const Rep &	a,
		const Rep &	b
	)		const

inline

Rep& random	(	RandIter &	g,
		Rep &	r,
		long	s = `1`
	)		const

inline

Rep& random	(	RandIter &	g,
		Rep &	r,
		const Rep &	b
	)		const

inline

Rep& nonzerorandom	(	RandIter &	g,
		Rep &	r,
		long	s = `1`
	)		const

inline

Rep& nonzerorandom	(	RandIter &	g,
		Rep &	r,
		const Rep &	b
	)		const

inline

std::istream& read ( std::istream & i )

inline

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

inline

std::istream& read	(	std::istream &	i,
		Rep &	n
	)		const

inline

std::ostream& write	(	std::ostream &	o,
		const Rep &	n
	)		const

inline

Field Documentation

const Rational one

const Rational mOne

const Rational zero

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

givrational.h

Public Types

Public Member Functions

Data Fields

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Field Documentation