RationalDom Class Reference

#include <givrational.h>

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	zero

---

Detailed Description

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 zero

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

• givrational.h