ZpzDom< TAG > Class Template Reference

This class implement the standard arithmetic with Modulo Elements. More...

#include <givzpzGen.h>

Public Types
typedef IntType	Residu_t
	type to store residue
typedef IntType	Rep
	Representation of Element of the domain ZpzDom.
typedef Rep *	Array
	Representation of vector of the Element.
typedef const Rep *	constArray
	Representation of vector of the Element.

Public Member Functions
ZpzDom< IntType > &	operator= (const ZpzDom< IntType > &F)
	Copy.
	ZpzDom ()
	Constructor.
	ZpzDom (Residu_t p)
	Constructor.
	ZpzDom (const ZpzDom< IntType > &F)
	Constructor.
int	operator== (const ZpzDom< IntType > &BC) const
	(in)Equality
int	operator!= (const ZpzDom< IntType > &BC) const
	(in)Equality
int	areEqual (const Rep &a, const Rep &b) const
	(in)Equality
Residu_t	residu () const
	Access to the modulus.
Residu_t	size () const
	Access to the modulus.
Rep	access (const Rep &a) const
	Access to the modulus.
Residu_t	characteristic () const
	Access to the modulus.
Residu_t	characteristic (Residu_t p) const
	Access to the modulus.
Residu_t	cardinality () const
	Access to the modulus.
Rep &	init (Rep &a) const
	Init a representation.
void	init (const size_t, Array a, constArray b) const
	Init a representation.
Rep &	init (Rep &r, const long int a) const
	Init a representation.
Rep &	init (Rep &r, const unsigned long int a) const
	Init a representation.
Rep &	init (Rep &a, const int i) const
	Init a representation.
Rep &	init (Rep &a, const unsigned int i) const
	Init a representation.
Rep &	init (Rep &a, const IntType &i) const
	Init a representation.
Rep &	init (Rep &a, const double i) const
	Init a representation.
Rep &	init (Rep &a, const float i) const
	Init a representation.
float &	convert (float &r, const Rep &a) const
	Conversion.
double &	convert (double &r, const Rep &a) const
	Conversion.
long int &	convert (long int &r, const Rep &a) const
	Conversion.
unsigned long int &	convert (unsigned long int &r, const Rep &a) const
	Conversion.
IntType &	convert (IntType &i, const Rep &a) const
	Conversion.
int	isZero (const Rep &a) const
	Misc methods.
int	isOne (const Rep &a) const
	Misc methods.
size_t	length (const Rep &a) const
	Misc methods.
Rep &	mul (Rep &r, const Rep &a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	div (Rep &r, const Rep &a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	add (Rep &r, const Rep &a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	sub (Rep &r, const Rep &a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	neg (Rep &r, const Rep &a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	inv (Rep &r, const Rep &a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	mulin (Rep &r, const Rep &a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	divin (Rep &r, const Rep &a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	addin (Rep &r, const Rep &a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	subin (Rep &r, const Rep &a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	negin (Rep &r) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	invin (Rep &r) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	mul (const size_t sz, Array r, constArray a, constArray b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	mul (const size_t sz, Array r, constArray a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	div (const size_t sz, Array r, constArray a, constArray b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	div (const size_t sz, Array r, constArray a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	add (const size_t sz, Array r, constArray a, constArray b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	add (const size_t sz, Array r, constArray a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	sub (const size_t sz, Array r, constArray a, constArray b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	sub (const size_t sz, Array r, constArray a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	neg (const size_t sz, Array r, constArray a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	inv (const size_t sz, Array r, constArray a) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	axpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	axpy (const size_t sz, Array r, constArray a, constArray x, constArray c) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	axpyin (Rep &r, const Rep &a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	axpyin (const size_t sz, Array r, constArray a, constArray x) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	axmy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	axmy (const size_t sz, Array r, constArray a, constArray x, constArray c) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	axmyin (Rep &r, const Rep &a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	maxpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
Rep &	maxpyin (Rep &r, const Rep &a, const Rep &b) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	maxpyin (const size_t sz, Array r, constArray a, constArray x) const
	Operations with reduction: r <- a op b mod p, r <- op a mod p.
void	assign (const size_t sz, Array r, constArray a) const
	Misc: r <- a mod p.
Rep &	assign (Rep &r, const Rep &a) const
	Misc: r <- a mod p.
Rep &	assign (Rep &r, const long a) const
	Misc: r <- a mod p.
Rep &	assign (Rep &r, const unsigned long a) const
	Misc: r <- a mod p.
Rep &	assign (Rep &r, const short a) const
	Misc: r <- a mod p.
Rep &	assign (Rep &r, const unsigned short a) const
	Misc: r <- a mod p.
Rep &	reduceadd (Rep &r, const size_t sz, constArray a) const
	Misc.
Rep &	reducemul (Rep &r, const size_t sz, constArray a) const
	Misc.
void	i2d (const size_t sz, double *r, constArray a) const
	Misc.
void	d2i (const size_t sz, Array r, const double *a) const
	Misc.
std::istream &	read (std::istream &s)
	IO methods.
std::ostream &	write (std::ostream &s) const
	IO methods.
std::istream &	read (std::istream &s, Rep &a) const
	IO methods.
std::ostream &	write (std::ostream &s, const Rep &a) const
	IO methods.

Data Fields
const Rep	zero
	Constantes. More...
const Rep	one
	1
const Rep	mOne
	-1

Protected Attributes
Residu_t	_p
	data representation of the domain:
typedef GIV_randIter< ZpzDom < IntType >, Rep >	randIter
	Random.
template<class RandIter >
Rep &	random (RandIter &, Rep &r) const
	Random.
template<class RandIter >
Rep &	random (RandIter &, Rep &r, long s) const
	Random.
template<class RandIter >
Rep &	random (RandIter &, Rep &r, const Rep &b) const
	Random.
template<class RandIter >
Rep &	nonzerorandom (RandIter &, Rep &r) const
	Random.
template<class RandIter >
Rep &	nonzerorandom (RandIter &, Rep &r, long s) const
	Random.
template<class RandIter >
Rep &	nonzerorandom (RandIter &, Rep &r, const Rep &b) const
	Random.

Detailed Description

template<class TAG>
class Givaro::ZpzDom< TAG >

This class implement the standard arithmetic with Modulo Elements.

• The representation of an integer a in Zpz is the value a % p

Field Documentation

const Rep zero

Constantes.

0

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The documentation for this class was generated from the following files:

• giv_randiter.h
• givzpzGen.h
• givzpzGen.inl