FracDom< RingDom > Struct Template Reference

#include <givfractiondomain.h>

Public Types
typedef FracDom< RingDom >	Self_t
typedef RingDom	Ring_t
typedef RingDom::Element	Ring_E
typedef Frac< Ring_E, Ring_E >	Element
typedef Frac< Ring_E, Ring_E >	Rep
Public Member Functions
void	reduce (Ring_E &a, Ring_E &b) const
Rep &	reduce (Rep &r) const
	FracDom (const RingDom &R)
	FracDom (const Self_t &F)
const Ring_t &	getdomain () const
const Ring_t &	getring () const
Rep &	init (Rep &a) const
template<class XXX >
Rep &	init (Rep &p, const XXX &cste) const
Rep &	assign (Rep &p, const Rep &q) const
Rep &	assign (Rep &p, const Ring_E &q) const
int	isZero (const Rep &P) const
int	isOne (const Rep &P) const
int	areEqual (const Rep &P, const Rep &Q) const
int	areNEqual (const Rep &P, const Rep &Q) 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
Rep &	mulin (Rep &q, const Rep &a) const
Rep &	mulin (Rep &q, const Ring_E &a) const
Rep &	mul (Rep &q, const Rep &a, const Ring_E &b) const
Rep &	mul (Rep &q, const Ring_E &a, const Rep &b) const
Rep &	mul (Rep &q, const Rep &a, const Rep &b) const
Rep &	addin (Rep &res, const Rep &u) const
Rep &	addin (Rep &res, const Ring_E &a) const
Rep &	add (Rep &res, const Rep &u, const Rep &v) const
Rep &	add (Rep &res, const Rep &u, const Ring_E &a) const
Rep &	add (Rep &res, const Ring_E &a, const Rep &u) const
Rep &	subin (Rep &res, const Rep &u) const
Rep &	subin (Rep &res, const Ring_E &a) const
Rep &	sub (Rep &res, const Rep &u, const Rep &v) const
Rep &	sub (Rep &res, const Rep &u, const Ring_E &a) const
Rep &	sub (Rep &res, const Ring_E &a, const Rep &u) const
Rep &	negin (Rep &res) const
Rep &	neg (Rep &res, const Rep &u) const
Rep &	invin (Rep &q) const
Rep &	inv (Rep &r, const Rep &u) const
Rep &	inv (Rep &r, const Ring_E &a)
Rep &	divin (Rep &q, const Rep &a) const
Rep &	divin (Rep &q, const Ring_E &a) const
Rep &	div (Rep &q, const Rep &a, const Rep &b) const
Rep &	axpy (Rep &r, const Rep &a, const Rep &x, const Rep &y) const
Rep &	axpy (Rep &r, const Rep &a, const Ring_E &x, const Rep &y) const
Rep &	axpy (Rep &r, const Rep &a, const Rep &x, const Ring_E &y) const
Rep &	axpy (Rep &r, const Ring_E &a, const Rep &x, const Rep &y) const
Rep &	axpy (Rep &r, const Ring_E &a, const Ring_E &x, const Rep &y) const
Rep &	axpy (Rep &r, const Ring_E &a, const Rep &x, const Ring_E &y) const
Rep &	axpy (Rep &r, const Rep &a, const Ring_E &x, const Ring_E &y) const
Rep &	axpyin (Rep &r, const Rep &a, const Rep &x) const
Rep &	axpyin (Rep &r, const Ring_E &a, const Rep &x) const
Rep &	axpyin (Rep &r, const Rep &a, const Ring_E &x) const
Rep &	axpyin (Rep &r, const Ring_E &a, const Ring_E &x) const
Rep &	maxpy (Rep &r, const Rep &a, const Rep &x, const Rep &y) const
Rep &	maxpy (Rep &r, const Rep &a, const Ring_E &x, const Rep &y) const
Rep &	maxpy (Rep &r, const Rep &a, const Rep &x, const Ring_E &y) const
Rep &	maxpy (Rep &r, const Ring_E &a, const Rep &x, const Rep &y) const
Rep &	maxpy (Rep &r, const Ring_E &a, const Ring_E &x, const Rep &y) const
Rep &	maxpy (Rep &r, const Ring_E &a, const Rep &x, const Ring_E &y) const
Rep &	maxpy (Rep &r, const Rep &a, const Ring_E &x, const Ring_E &y) const
Rep &	axmyin (Rep &r, const Rep &a, const Rep &x) const
Rep &	axmyin (Rep &r, const Ring_E &a, const Rep &x) const
Rep &	axmyin (Rep &r, const Rep &a, const Ring_E &x) const
Rep &	axmyin (Rep &r, const Ring_E &a, const Ring_E &x) const
Rep &	maxpyin (Rep &r, const Rep &a, const Rep &x) const
Rep &	maxpyin (Rep &r, const Ring_E &a, const Rep &x) const
Rep &	maxpyin (Rep &r, const Rep &a, const Ring_E &x) const
Rep &	maxpyin (Rep &r, const Ring_E &a, const Ring_E &x) const
Rep &	axmy (Rep &r, const Rep &a, const Rep &x, const Rep &y) const
Rep &	axmy (Rep &r, const Ring_E &a, const Rep &x, const Rep &y) const
Rep &	axmy (Rep &r, const Rep &a, const Ring_E &x, const Rep &y) const
Rep &	axmy (Rep &r, const Rep &a, const Rep &x, const Ring_E &y) const
Rep &	axmy (Rep &r, const Ring_E &a, const Ring_E &x, const Rep &y) const
Rep &	axmy (Rep &r, const Ring_E &a, const Rep &x, const Ring_E &y) const
Rep &	axmy (Rep &r, const Rep &a, const Ring_E &x, const Ring_E &y) const
Rep &	pow (Rep &W, const Rep &P, long n) const
template<class RandIter >
Rep &	random (RandIter &g, Rep &r) const
template<class RandIter , class XXX >
Rep &	random (RandIter &g, Rep &r, const XXX &s) const
template<class RandIter >
Rep &	nonzerorandom (RandIter &g, Rep &r) const
template<class RandIter , class XXX >
Rep &	nonzerorandom (RandIter &g, Rep &r, const XXX &s) const
Data Fields
const Rep	zero
const Rep	one

template<class RingDom>
struct Givaro::FracDom< RingDom >

---

Member Typedef Documentation

typedef FracDom<RingDom> Self_t

typedef RingDom Ring_t

typedef RingDom::Element Ring_E

typedef Frac<Ring_E, Ring_E> Element

typedef Frac<Ring_E, Ring_E> Rep

---

Constructor & Destructor Documentation

FracDom

(

const RingDom &

R

)

[inline]

FracDom

(

const Self_t &

F

)

[inline]

---

Member Function Documentation

void reduce	(	Ring_E &	a,
		Ring_E &	b
	)		const [inline]

Rep& reduce

(

Rep &

r

)

const [inline]

const Ring_t& getdomain

(

)

const [inline]

const Ring_t& getring

(

)

const [inline]

Rep& init

(

Rep &

a

)

const [inline]

Rep& init	(	Rep &	p,
		const XXX &	cste
	)		const [inline]

Rep& assign	(	Rep &	p,
		const Rep &	q
	)		const [inline]

Rep& assign	(	Rep &	p,
		const Ring_E &	q
	)		const [inline]

int isZero

(

const Rep &

P

)

const [inline]

int isOne

(

const Rep &

P

)

const [inline]

int areEqual	(	const Rep &	P,
		const Rep &	Q
	)		const [inline]

int areNEqual	(	const Rep &	P,
		const Rep &	Q
	)		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]

Rep& mulin	(	Rep &	q,
		const Rep &	a
	)		const [inline]

Rep& mulin	(	Rep &	q,
		const Ring_E &	a
	)		const [inline]

Rep& mul	(	Rep &	q,
		const Rep &	a,
		const Ring_E &	b
	)		const [inline]

Rep& mul	(	Rep &	q,
		const Ring_E &	a,
		const Rep &	b
	)		const [inline]

Rep& mul	(	Rep &	q,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

Rep& addin	(	Rep &	res,
		const Rep &	u
	)		const [inline]

Rep& addin	(	Rep &	res,
		const Ring_E &	a
	)		const [inline]

Rep& add	(	Rep &	res,
		const Rep &	u,
		const Rep &	v
	)		const [inline]

Rep& add	(	Rep &	res,
		const Rep &	u,
		const Ring_E &	a
	)		const [inline]

Rep& add	(	Rep &	res,
		const Ring_E &	a,
		const Rep &	u
	)		const [inline]

Rep& subin	(	Rep &	res,
		const Rep &	u
	)		const [inline]

Rep& subin	(	Rep &	res,
		const Ring_E &	a
	)		const [inline]

Rep& sub	(	Rep &	res,
		const Rep &	u,
		const Rep &	v
	)		const [inline]

Rep& sub	(	Rep &	res,
		const Rep &	u,
		const Ring_E &	a
	)		const [inline]

Rep& sub	(	Rep &	res,
		const Ring_E &	a,
		const Rep &	u
	)		const [inline]

Rep& negin

(

Rep &

res

)

const [inline]

Rep& neg	(	Rep &	res,
		const Rep &	u
	)		const [inline]

Rep& invin

(

Rep &

q

)

const [inline]

Rep& inv	(	Rep &	r,
		const Rep &	u
	)		const [inline]

Rep& inv	(	Rep &	r,
		const Ring_E &	a
	)		[inline]

Rep& divin	(	Rep &	q,
		const Rep &	a
	)		const [inline]

Rep& divin	(	Rep &	q,
		const Ring_E &	a
	)		const [inline]

Rep& div	(	Rep &	q,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

Rep& axpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	x,
		const Rep &	y
	)		const [inline]

Rep& axpy	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x,
		const Rep &	y
	)		const [inline]

Rep& axpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	x,
		const Ring_E &	y
	)		const [inline]

Rep& axpy	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x,
		const Rep &	y
	)		const [inline]

Rep& axpy	(	Rep &	r,
		const Ring_E &	a,
		const Ring_E &	x,
		const Rep &	y
	)		const [inline]

Rep& axpy	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x,
		const Ring_E &	y
	)		const [inline]

Rep& axpy	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x,
		const Ring_E &	y
	)		const [inline]

Rep& axpyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	x
	)		const [inline]

Rep& axpyin	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x
	)		const [inline]

Rep& axpyin	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x
	)		const [inline]

Rep& axpyin	(	Rep &	r,
		const Ring_E &	a,
		const Ring_E &	x
	)		const [inline]

Rep& maxpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	x,
		const Rep &	y
	)		const [inline]

Rep& maxpy	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x,
		const Rep &	y
	)		const [inline]

Rep& maxpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	x,
		const Ring_E &	y
	)		const [inline]

Rep& maxpy	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x,
		const Rep &	y
	)		const [inline]

Rep& maxpy	(	Rep &	r,
		const Ring_E &	a,
		const Ring_E &	x,
		const Rep &	y
	)		const [inline]

Rep& maxpy	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x,
		const Ring_E &	y
	)		const [inline]

Rep& maxpy	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x,
		const Ring_E &	y
	)		const [inline]

Rep& axmyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	x
	)		const [inline]

Rep& axmyin	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x
	)		const [inline]

Rep& axmyin	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x
	)		const [inline]

Rep& axmyin	(	Rep &	r,
		const Ring_E &	a,
		const Ring_E &	x
	)		const [inline]

Rep& maxpyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	x
	)		const [inline]

Rep& maxpyin	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x
	)		const [inline]

Rep& maxpyin	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x
	)		const [inline]

Rep& maxpyin	(	Rep &	r,
		const Ring_E &	a,
		const Ring_E &	x
	)		const [inline]

Rep& axmy	(	Rep &	r,
		const Rep &	a,
		const Rep &	x,
		const Rep &	y
	)		const [inline]

Rep& axmy	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x,
		const Rep &	y
	)		const [inline]

Rep& axmy	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x,
		const Rep &	y
	)		const [inline]

Rep& axmy	(	Rep &	r,
		const Rep &	a,
		const Rep &	x,
		const Ring_E &	y
	)		const [inline]

Rep& axmy	(	Rep &	r,
		const Ring_E &	a,
		const Ring_E &	x,
		const Rep &	y
	)		const [inline]

Rep& axmy	(	Rep &	r,
		const Ring_E &	a,
		const Rep &	x,
		const Ring_E &	y
	)		const [inline]

Rep& axmy	(	Rep &	r,
		const Rep &	a,
		const Ring_E &	x,
		const Ring_E &	y
	)		const [inline]

Rep& pow	(	Rep &	W,
		const Rep &	P,
		long	n
	)		const [inline]

Rep& random	(	RandIter &	g,
		Rep &	r
	)		const [inline]

Rep& random	(	RandIter &	g,
		Rep &	r,
		const XXX &	s
	)		const [inline]

Rep& nonzerorandom	(	RandIter &	g,
		Rep &	r
	)		const [inline]

Rep& nonzerorandom	(	RandIter &	g,
		Rep &	r,
		const XXX &	s
	)		const [inline]

---

Field Documentation

const Rep zero

const Rep one

---

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

• givfractiondomain.h