FracDom< RingDom > Struct Template Reference

#include <givfractiondomain.h>

Collaboration 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	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

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

const Rep mOne

---

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

• givfractiondomain.h