FracDom< RingDom > Struct Template Reference

#include <givfractiondomain.h>

Inheritance diagram for FracDom< RingDom >:

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	isMOne (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
const Rep	mOne

Member Typedef Documentation

Self_t

template<class RingDom>

typedef FracDom<RingDom> Self_t

Ring_t

template<class RingDom>

typedef RingDom Ring_t

Ring_E

template<class RingDom>

typedef RingDom::Element Ring_E

Element

template<class RingDom>

typedef Frac<Ring_E, Ring_E> Element

Rep

template<class RingDom>

typedef Frac<Ring_E, Ring_E> Rep

Constructor & Destructor Documentation

FracDom() [1/2]

template<class RingDom>

FracDom ( const RingDom & R )

inline

FracDom() [2/2]

template<class RingDom>

FracDom ( const Self_t & F )

inline

Member Function Documentation

reduce() [1/2]

template<class RingDom>

void reduce ( Ring_E & a, Ring_E & b ) const

inline

reduce() [2/2]

template<class RingDom>

Rep & reduce ( Rep & r ) const

inline

getdomain()

template<class RingDom>

const Ring_t & getdomain ( ) const

inline

getring()

template<class RingDom>

const Ring_t & getring ( ) const

inline

init() [1/2]

template<class RingDom>

Rep & init ( Rep & a ) const

inline

init() [2/2]

template<class RingDom>

template<class XXX>

Rep & init ( Rep & p, const XXX & cste ) const

inline

assign() [1/2]

template<class RingDom>

Rep & assign ( Rep & p, const Rep & q ) const

inline

assign() [2/2]

template<class RingDom>

Rep & assign ( Rep & p, const Ring_E & q ) const

inline

isZero()

template<class RingDom>

int isZero ( const Rep & P ) const

inline

isOne()

template<class RingDom>

int isOne ( const Rep & P ) const

inline

isMOne()

template<class RingDom>

int isMOne ( const Rep & P ) const

inline

areEqual()

template<class RingDom>

int areEqual ( const Rep & P, const Rep & Q ) const

inline

areNEqual()

template<class RingDom>

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

inline

read() [1/2]

template<class RingDom>

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

inline

write() [1/2]

template<class RingDom>

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

inline

read() [2/2]

template<class RingDom>

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

inline

write() [2/2]

template<class RingDom>

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

inline

mulin() [1/2]

template<class RingDom>

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

inline

mulin() [2/2]

template<class RingDom>

Rep & mulin ( Rep & q, const Ring_E & a ) const

inline

mul() [1/3]

template<class RingDom>

Rep & mul ( Rep & q, const Rep & a, const Ring_E & b ) const

inline

mul() [2/3]

template<class RingDom>

Rep & mul ( Rep & q, const Ring_E & a, const Rep & b ) const

inline

mul() [3/3]

template<class RingDom>

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

inline

addin() [1/2]

template<class RingDom>

Rep & addin ( Rep & res, const Rep & u ) const

inline

addin() [2/2]

template<class RingDom>

Rep & addin ( Rep & res, const Ring_E & a ) const

inline

add() [1/3]

template<class RingDom>

Rep & add ( Rep & res, const Rep & u, const Rep & v ) const

inline

add() [2/3]

template<class RingDom>

Rep & add ( Rep & res, const Rep & u, const Ring_E & a ) const

inline

add() [3/3]

template<class RingDom>

Rep & add ( Rep & res, const Ring_E & a, const Rep & u ) const

inline

subin() [1/2]

template<class RingDom>

Rep & subin ( Rep & res, const Rep & u ) const

inline

subin() [2/2]

template<class RingDom>

Rep & subin ( Rep & res, const Ring_E & a ) const

inline

sub() [1/3]

template<class RingDom>

Rep & sub ( Rep & res, const Rep & u, const Rep & v ) const

inline

sub() [2/3]

template<class RingDom>

Rep & sub ( Rep & res, const Rep & u, const Ring_E & a ) const

inline

sub() [3/3]

template<class RingDom>

Rep & sub ( Rep & res, const Ring_E & a, const Rep & u ) const

inline

negin()

template<class RingDom>

Rep & negin ( Rep & res ) const

inline

neg()

template<class RingDom>

Rep & neg ( Rep & res, const Rep & u ) const

inline

invin()

template<class RingDom>

Rep & invin ( Rep & q ) const

inline

inv() [1/2]

template<class RingDom>

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

inline

inv() [2/2]

template<class RingDom>

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

inline

divin() [1/2]

template<class RingDom>

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

inline

divin() [2/2]

template<class RingDom>

Rep & divin ( Rep & q, const Ring_E & a ) const

inline

div()

template<class RingDom>

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

inline

axpy() [1/7]

template<class RingDom>

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

inline

axpy() [2/7]

template<class RingDom>

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

inline

axpy() [3/7]

template<class RingDom>

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

inline

axpy() [4/7]

template<class RingDom>

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

inline

axpy() [5/7]

template<class RingDom>

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

inline

axpy() [6/7]

template<class RingDom>

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

inline

axpy() [7/7]

template<class RingDom>

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

inline

axpyin() [1/4]

template<class RingDom>

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

inline

axpyin() [2/4]

template<class RingDom>

Rep & axpyin ( Rep & r, const Ring_E & a, const Rep & x ) const

inline

axpyin() [3/4]

template<class RingDom>

Rep & axpyin ( Rep & r, const Rep & a, const Ring_E & x ) const

inline

axpyin() [4/4]

template<class RingDom>

Rep & axpyin ( Rep & r, const Ring_E & a, const Ring_E & x ) const

inline

maxpy() [1/7]

template<class RingDom>

Rep & maxpy ( Rep & r, const Rep & a, const Rep & x, const Rep & y ) const

inline

maxpy() [2/7]

template<class RingDom>

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

inline

maxpy() [3/7]

template<class RingDom>

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

inline

maxpy() [4/7]

template<class RingDom>

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

inline

maxpy() [5/7]

template<class RingDom>

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

inline

maxpy() [6/7]

template<class RingDom>

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

inline

maxpy() [7/7]

template<class RingDom>

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

inline

axmyin() [1/4]

template<class RingDom>

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

inline

axmyin() [2/4]

template<class RingDom>

Rep & axmyin ( Rep & r, const Ring_E & a, const Rep & x ) const

inline

axmyin() [3/4]

template<class RingDom>

Rep & axmyin ( Rep & r, const Rep & a, const Ring_E & x ) const

inline

axmyin() [4/4]

template<class RingDom>

Rep & axmyin ( Rep & r, const Ring_E & a, const Ring_E & x ) const

inline

maxpyin() [1/4]

template<class RingDom>

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

inline

maxpyin() [2/4]

template<class RingDom>

Rep & maxpyin ( Rep & r, const Ring_E & a, const Rep & x ) const

inline

maxpyin() [3/4]

template<class RingDom>

Rep & maxpyin ( Rep & r, const Rep & a, const Ring_E & x ) const

inline

maxpyin() [4/4]

template<class RingDom>

Rep & maxpyin ( Rep & r, const Ring_E & a, const Ring_E & x ) const

inline

axmy() [1/7]

template<class RingDom>

Rep & axmy ( Rep & r, const Rep & a, const Rep & x, const Rep & y ) const

inline

axmy() [2/7]

template<class RingDom>

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

inline

axmy() [3/7]

template<class RingDom>

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

inline

axmy() [4/7]

template<class RingDom>

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

inline

axmy() [5/7]

template<class RingDom>

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

inline

axmy() [6/7]

template<class RingDom>

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

inline

axmy() [7/7]

template<class RingDom>

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

inline

pow()

template<class RingDom>

Rep & pow ( Rep & W, const Rep & P, long n ) const

inline

random() [1/2]

template<class RingDom>

template<class RandIter>

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

inline

random() [2/2]

template<class RingDom>

template<class RandIter, class XXX>

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

inline

nonzerorandom() [1/2]

template<class RingDom>

template<class RandIter>

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

inline

nonzerorandom() [2/2]

template<class RingDom>

template<class RandIter, class XXX>

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

inline

Field Documentation

zero

template<class RingDom>

const Rep zero

one

template<class RingDom>

const Rep one

mOne

template<class RingDom>

const Rep mOne

---

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

• givfractiondomain.h