Generic Class ZRing. More...

#include <zring.h>

Inherits UnparametricOperations< _Element >.

Public Member Functions
Comparison Predicates
bool	areEqual (const Element &x, const Element &y) const
	x == y

Arithmetic Operations
The first argument is set and is also the return value.
Element &	add (Element &x, const Element &y, const Element &z) const
	x := y + z

Element &	sub (Element &x, const Element &y, const Element &z) const
	x := y - z

Element &	mul (Element &x, const Element &y, const Element &z) const
	x := y*z

Element &	div (Element &x, const Element &y, const Element &z) const
	x := y/z

Element &	mod (Element &x, const Element &y, const Element &z) const
	x := y mod z

Element &	neg (Element &x, const Element &y) const
	x := -y

Element &	inv (Element &x, const Element &y) const
	x := 1/y

Element &	axpy (Element &z, const Element &a, const Element &x, const Element &y) const
	z := a*x + y

Element &	axpyin (Element &z, const Element &a, const Element &x) const
	z := a*x + z

Element &	axmy (Element &z, const Element &a, const Element &x, const Element &y) const
	z := a*x - y

Element &	axmyin (Element &z, const Element &a, const Element &x) const
	z := a*x - z

Element &	maxpy (Element &z, const Element &a, const Element &x, const Element &y) const
	z := y - a*x

Element &	maxpyin (Element &z, const Element &a, const Element &x) const
	z := z - a*x

Inplace Arithmetic Operations
The first argument is modified and the result is the return value.
Element &	addin (Element &x, const Element &y) const
	x := x + y

Element &	subin (Element &x, const Element &y) const
	x := x - y

Element &	mulin (Element &x, const Element &y) const
	x := x*y

Element &	divin (Element &x, const Element &y) const
	x := x/y

Element &	modin (Element &x, const Element &y) const
	x := x mod y

Element &	negin (Element &x) const
	x := -x

Element &	invin (Element &x) const
	x := 1/x

Input/Output Operations
std::ostream &	write (std::ostream &os, std::string F) const
	Read field. More...

std::istream &	read (std::istream &is) const
	Read field. More...

Detailed Description

template<class _Element>
class Givaro::UnparametricZRing< _Element >

Generic Class ZRing.

Ring of integers, using the unparametric _Element base type. Provide unparametric with domain features ZRing<Element> is a sugar name for UnparametricZRing<Element> Also, there is a specialization, below, for ZRing<Integer>

Member Function Documentation

◆ write()

std::ostream& write	(	std::ostream &	os,
		std::string	F
	)		const

inlineinherited

Read field.

Returns: input stream from which field is read.

Parameters

is	input stream from which field is read.

◆ read()

std::istream& read ( std::istream & is ) const