Givaro
Public Types | Public Member Functions | Data Fields
FracDom< RingDom > Struct Template Reference

#include <givfractiondomain.h>

Inherits RingDom.

+ 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 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

typedef FracDom<RingDom> Self_t

◆ Ring_t

typedef RingDom Ring_t

◆ Ring_E

typedef RingDom::Element Ring_E

◆ Element

typedef Frac<Ring_E, Ring_E> Element

◆ Rep

typedef Frac<Ring_E, Ring_E> Rep

Constructor & Destructor Documentation

◆ FracDom() [1/2]

FracDom ( const RingDom &  R)
inline

◆ FracDom() [2/2]

FracDom ( const Self_t &  F)
inline

Member Function Documentation

◆ reduce() [1/2]

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

◆ reduce() [2/2]

Rep& reduce ( Rep &  r) const
inline

◆ getdomain()

const Ring_t& getdomain ( ) const
inline

◆ getring()

const Ring_t& getring ( ) const
inline

◆ init() [1/2]

Rep& init ( Rep &  a) const
inline

◆ init() [2/2]

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

◆ assign() [1/2]

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

◆ assign() [2/2]

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

◆ isZero()

int isZero ( const Rep &  P) const
inline

◆ isOne()

int isOne ( const Rep &  P) const
inline

◆ isMOne()

int isMOne ( const Rep &  P) const
inline

◆ areEqual()

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

◆ areNEqual()

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

◆ read() [1/2]

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

◆ write() [1/2]

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

◆ read() [2/2]

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

◆ write() [2/2]

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

◆ mulin() [1/2]

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

◆ mulin() [2/2]

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

◆ mul() [1/3]

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

◆ mul() [2/3]

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

◆ mul() [3/3]

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

◆ addin() [1/2]

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

◆ addin() [2/2]

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

◆ add() [1/3]

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

◆ add() [2/3]

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

◆ add() [3/3]

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

◆ subin() [1/2]

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

◆ subin() [2/2]

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

◆ sub() [1/3]

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

◆ sub() [2/3]

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

◆ sub() [3/3]

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

◆ negin()

Rep& negin ( Rep &  res) const
inline

◆ neg()

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

◆ invin()

Rep& invin ( Rep &  q) const
inline

◆ inv() [1/2]

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

◆ inv() [2/2]

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

◆ divin() [1/2]

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

◆ divin() [2/2]

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

◆ div()

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

◆ axpy() [1/7]

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

◆ axpy() [2/7]

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

◆ axpy() [3/7]

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

◆ axpy() [4/7]

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

◆ axpy() [5/7]

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

◆ axpy() [6/7]

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

◆ axpy() [7/7]

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

◆ axpyin() [1/4]

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

◆ axpyin() [2/4]

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

◆ axpyin() [3/4]

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

◆ axpyin() [4/4]

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

◆ maxpy() [1/7]

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

◆ maxpy() [2/7]

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

◆ maxpy() [3/7]

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

◆ maxpy() [4/7]

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

◆ maxpy() [5/7]

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

◆ maxpy() [6/7]

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

◆ maxpy() [7/7]

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

◆ axmyin() [1/4]

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

◆ axmyin() [2/4]

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

◆ axmyin() [3/4]

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

◆ axmyin() [4/4]

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

◆ maxpyin() [1/4]

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

◆ maxpyin() [2/4]

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

◆ maxpyin() [3/4]

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

◆ maxpyin() [4/4]

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

◆ axmy() [1/7]

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

◆ axmy() [2/7]

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

◆ axmy() [3/7]

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

◆ axmy() [4/7]

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

◆ axmy() [5/7]

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

◆ axmy() [6/7]

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

◆ axmy() [7/7]

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

◆ pow()

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

◆ random() [1/2]

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

◆ random() [2/2]

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

◆ nonzerorandom() [1/2]

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

◆ nonzerorandom() [2/2]

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

Field Documentation

◆ zero

const Rep zero

◆ one

const Rep one

◆ mOne

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