Modular Class Template Reference

#include <modular.h>

Inheritance diagram for Modular:

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Detailed Description

template<class _Element>
class LinBox::Modular< _Element >

Prime fields of positive characteristic implemented directly in LinBox.

This parameterized field can be used to construct prime fields. Typical use would be Modular<integer> for integers modulo a large prime, Modular<uint32>, modular<int>, or modular<double> for integers modulo a wordsize * prime. Each of those has specialized performance features suitable to certain applications.

Public Types
typedef _Element	Element
typedef ModularBase< _Element >::RandIter	RandIter
Public Member Functions
	Modular ()
	Modular (unsigned long modulus)
	Modular (const integer &modulus)
const Modular &	operator= (const Modular &F)
Element &	init (Element &x, const integer &y=0) const
Element &	init (Element &x, const double &y) const
Element &	add (Element &x, const Element &y, const Element &z) const
Element &	sub (Element &x, const Element &y, const Element &z) const
Element &	mul (Element &x, const Element &y, const Element &z) const
Element &	div (Element &x, const Element &y, const Element &z) const
Element &	neg (Element &x, const Element &y) const
Element &	inv (Element &x, const Element &y) const
Element &	axpy (Element &r, const Element &a, const Element &x, const Element &y) const
Element &	addin (Element &x, const Element &y) const
Element &	subin (Element &x, const Element &y) const
Element &	mulin (Element &x, const Element &y) const
Element &	divin (Element &x, const Element &y) const
Element &	negin (Element &x) const
Element &	invin (Element &x) const
Element &	axpyin (Element &r, const Element &a, const Element &x) const
Friends
class	FieldAXPY< Modular< Element > >

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Member Typedef Documentation

typedef _Element Element

Reimplemented from ModularBase.

typedef ModularBase<_Element>::RandIter RandIter

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Constructor & Destructor Documentation

Modular (   )  [inline]

Modular (  unsigned long  modulus  )  [inline]

Modular (  const integer &  modulus  )  [inline]

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Member Function Documentation

const Modular& operator= (  const Modular< _Element > &  F  )  [inline]

Element& init (  Element &  x, const integer &  y = 0 )  const [inline]

Element& init (  Element &  x, const double &  y )  const [inline]

Element& add (  Element &  x, const Element &  y, const Element &  z )  const [inline]

Element& sub (  Element &  x, const Element &  y, const Element &  z )  const [inline]

Element& mul (  Element &  x, const Element &  y, const Element &  z )  const [inline]

Element& div (  Element &  x, const Element &  y, const Element &  z )  const [inline]

Element& neg (  Element &  x, const Element &  y )  const [inline]

Element& inv (  Element &  x, const Element &  y )  const [inline]

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

Element& addin (  Element &  x, const Element &  y )  const [inline]

Element& subin (  Element &  x, const Element &  y )  const [inline]

Element& mulin (  Element &  x, const Element &  y )  const [inline]

Element& divin (  Element &  x, const Element &  y )  const [inline]

Element& negin (  Element &  x  )  const [inline]

Element& invin (  Element &  x  )  const [inline]

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

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Friends And Related Function Documentation

friend class FieldAXPY< Modular< Element > > [friend]

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