ZpzDom< Integer > Class Template Reference

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

#include <givzpzInt.h>

Public Types
enum	{ size_rep = sizeof(Residu_t) }
typedef Integer	Residu_t
typedef Integer	Rep
typedef Integer	Element
typedef Rep *	Array
typedef const Rep *	constArray
typedef GIV_randIter< ZpzDom < Integer >, Rep >	randIter
Public Member Functions
	ZpzDom ()
	ZpzDom (Residu_t p)
	ZpzDom (const ZpzDom< Integer > &F)
int	operator== (const ZpzDom< Integer > &BC) const
int	operator!= (const ZpzDom< Integer > &BC) const
ZpzDom< Integer > &	operator= (const ZpzDom< Integer > &F)
Residu_t	residu () const
Residu_t	size () const
Rep	access (const Rep &a) const
Residu_t	characteristic () const
Residu_t	characteristic (Residu_t p) const
Residu_t	cardinality () const
Rep &	init (Rep &a) const
void	init (const size_t, Array a, constArray b) const
Rep &	init (Rep &r, const long a) const
Rep &	init (Rep &r, const unsigned long a) const
Rep &	init (Rep &a, const int i) const
Rep &	init (Rep &a, const unsigned int i) const
Rep &	init (Rep &a, const Integer &i) const
Rep &	init (Rep &a, const double i) const
Rep &	init (Rep &a, const float i) const
float &	convert (float &r, const Rep &a) const
double &	convert (double &r, const Rep &a) const
long int &	convert (long int &r, const Rep &a) const
unsigned long int &	convert (unsigned long int &r, const Rep &a) const
Integer &	convert (Integer &i, const Rep &a) const
int	isZero (const Rep &a) const
int	isOne (const Rep &a) const
size_t	length (const Rep &a) const
int	areEqual (const Rep &a, const Rep &b) const
Rep &	mul (Rep &r, const Rep &a, const Rep &b) const
Rep &	div (Rep &r, const Rep &a, const Rep &b) const
Rep &	add (Rep &r, const Rep &a, const Rep &b) const
Rep &	sub (Rep &r, const Rep &a, const Rep &b) const
Rep &	neg (Rep &r, const Rep &a) const
Rep &	inv (Rep &r, const Rep &a) const
Rep &	mulin (Rep &r, const Rep &a) const
Rep &	divin (Rep &r, const Rep &a) const
Rep &	addin (Rep &r, const Rep &a) const
Rep &	subin (Rep &r, const Rep &a) const
Rep &	negin (Rep &r) const
Rep &	invin (Rep &r) const
void	mul (const size_t sz, Array r, constArray a, constArray b) const
void	mul (const size_t sz, Array r, constArray a, const Rep &b) const
void	div (const size_t sz, Array r, constArray a, constArray b) const
void	div (const size_t sz, Array r, constArray a, const Rep &b) const
void	add (const size_t sz, Array r, constArray a, constArray b) const
void	add (const size_t sz, Array r, constArray a, const Rep &b) const
void	sub (const size_t sz, Array r, constArray a, constArray b) const
void	sub (const size_t sz, Array r, constArray a, const Rep &b) const
void	neg (const size_t sz, Array r, constArray a) const
void	inv (const size_t sz, Array r, constArray a) const
Rep &	axpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
void	axpy (const size_t sz, Array r, constArray a, constArray x, constArray c) const
Rep &	axpyin (Rep &r, const Rep &a, const Rep &b) const
void	axpyin (const size_t sz, Array r, constArray a, constArray x) const
Rep &	axmy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
void	axmy (const size_t sz, Array r, constArray a, constArray x, constArray c) const
Rep &	axmyin (Rep &r, const Rep &a, const Rep &b) const
Rep &	maxpy (Rep &r, const Rep &a, const Rep &b, const Rep &c) const
Rep &	maxpyin (Rep &r, const Rep &a, const Rep &b) const
void	maxpyin (const size_t sz, Array r, constArray a, constArray x) const
void	assign (const size_t sz, Array r, constArray a) const
Rep &	assign (Rep &r, const Rep &a) const
Rep &	assign (Rep &r, const long a) const
Rep &	assign (Rep &r, const unsigned long a) const
Rep &	assign (Rep &r, const short a) const
Rep &	assign (Rep &r, const unsigned short a) const
template<class RandIter >
Rep &	random (RandIter &, Rep &r) const
template<class RandIter >
Rep &	random (RandIter &, Rep &r, long s) const
template<class RandIter >
Rep &	random (RandIter &, Rep &r, const Rep &b) const
template<class RandIter >
Rep &	nonzerorandom (RandIter &, Rep &r) const
template<class RandIter >
Rep &	nonzerorandom (RandIter &, Rep &r, long s) const
template<class RandIter >
Rep &	nonzerorandom (RandIter &, Rep &r, const Rep &b) const
Rep &	reduceadd (Rep &r, const size_t sz, constArray a) const
Rep &	reducemul (Rep &r, const size_t sz, constArray a) const
void	i2d (const size_t sz, double *r, constArray a) const
void	d2i (const size_t sz, Array r, const double *a) const
std::istream &	read (std::istream &s)
std::ostream &	write (std::ostream &s) const
std::istream &	read (std::istream &s, Rep &a) const
std::ostream &	write (std::ostream &s, const Rep &a) const
Data Fields
const Rep	zero
const Rep	one
Static Protected Member Functions
static void	Init ()
static void	End ()
Protected Attributes
Residu_t	_p

---

Detailed Description

template<>
class Givaro::ZpzDom< Integer >

This class implement the standard arithmetic with Modulo Elements.

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

Examples:

examples/FiniteField/all_field.C, examples/FiniteField/ff_arith.C, examples/Integer/iexponentiation.C, and examples/Polynomial/PolynomialCRT.C.

---

Member Typedef Documentation

typedef Integer Residu_t

typedef Integer Rep

typedef Integer Element

Examples:

examples/Integer/iexponentiation.C.

typedef Rep* Array

typedef const Rep* constArray

typedef GIV_randIter< ZpzDom<Integer> , Rep > randIter

---

Member Enumeration Documentation

anonymous enum

Enumerator:

size_rep

---

Constructor & Destructor Documentation

ZpzDom

(

)

[inline]

ZpzDom

(

Residu_t

p

)

[inline]

ZpzDom

(

const ZpzDom< Integer > &

F

)

[inline]

---

Member Function Documentation

int operator==

(

const ZpzDom< Integer > &

BC

)

const [inline]

int operator!=

(

const ZpzDom< Integer > &

BC

)

const [inline]

ZpzDom<Integer>& operator=

(

const ZpzDom< Integer > &

F

)

[inline]

ZpzDom< Integer >::Residu_t residu

(

)

const [inline]

Residu_t size

(

)

const [inline]

Rep access

(

const Rep &

a

)

const [inline]

Residu_t characteristic

(

)

const [inline]

Residu_t characteristic

(

Residu_t

p

)

const [inline]

Residu_t cardinality

(

)

const [inline]

ZpzDom< Integer >::Rep & init

(

Rep &

a

)

const [inline]

Examples:

examples/Integer/iexponentiation.C.

void init	(	const size_t	sz,
		Array	a,
		constArray	b
	)		const [inline]

ZpzDom< Integer >::Rep & init	(	Rep &	r,
		const long	a
	)		const [inline]

ZpzDom< Integer >::Rep & init	(	Rep &	r,
		const unsigned long	a
	)		const [inline]

ZpzDom< Integer >::Rep & init	(	Rep &	a,
		const int	i
	)		const [inline]

ZpzDom< Integer >::Rep & init	(	Rep &	a,
		const unsigned int	i
	)		const [inline]

ZpzDom< Integer >::Rep & init	(	Rep &	a,
		const Integer &	i
	)		const [inline]

ZpzDom< Integer >::Rep & init	(	Rep &	a,
		const double	i
	)		const [inline]

ZpzDom< Integer >::Rep & init	(	Rep &	a,
		const float	i
	)		const [inline]

float& convert	(	float &	r,
		const Rep &	a
	)		const [inline]

double& convert	(	double &	r,
		const Rep &	a
	)		const [inline]

long int& convert	(	long int &	r,
		const Rep &	a
	)		const [inline]

unsigned long int& convert	(	unsigned long int &	r,
		const Rep &	a
	)		const [inline]

Integer& convert	(	Integer &	i,
		const Rep &	a
	)		const [inline]

int isZero

(

const Rep &

a

)

const [inline]

int isOne

(

const Rep &

a

)

const [inline]

size_t length

(

const Rep &

a

)

const [inline]

int areEqual	(	const Rep &	a,
		const Rep &	b
	)		const [inline]

ZpzDom< Integer >::Rep & mul	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

ZpzDom< Integer >::Rep & div	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

ZpzDom< Integer >::Rep & add	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

ZpzDom< Integer >::Rep & sub	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

ZpzDom< Integer >::Rep & neg	(	Rep &	r,
		const Rep &	a
	)		const [inline]

ZpzDom< Integer >::Rep & inv	(	Rep &	r,
		const Rep &	a
	)		const [inline]

ZpzDom< Integer >::Rep & mulin	(	Rep &	r,
		const Rep &	a
	)		const [inline]

ZpzDom< Integer >::Rep & divin	(	Rep &	r,
		const Rep &	a
	)		const [inline]

ZpzDom< Integer >::Rep & addin	(	Rep &	r,
		const Rep &	a
	)		const [inline]

ZpzDom< Integer >::Rep & subin	(	Rep &	r,
		const Rep &	a
	)		const [inline]

ZpzDom< Integer >::Rep & negin

(

Rep &

r

)

const [inline]

ZpzDom< Integer >::Rep & invin

(

Rep &

r

)

const [inline]

void mul	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	b
	)		const [inline]

void mul	(	const size_t	sz,
		Array	r,
		constArray	a,
		const Rep &	b
	)		const [inline]

void div	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	b
	)		const [inline]

void div	(	const size_t	sz,
		Array	r,
		constArray	a,
		const Rep &	b
	)		const [inline]

void add	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	b
	)		const [inline]

void add	(	const size_t	sz,
		Array	r,
		constArray	a,
		const Rep &	b
	)		const [inline]

void sub	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	b
	)		const [inline]

void sub	(	const size_t	sz,
		Array	r,
		constArray	a,
		const Rep &	b
	)		const [inline]

void neg	(	const size_t	sz,
		Array	r,
		constArray	a
	)		const [inline]

void inv	(	const size_t	sz,
		Array	r,
		constArray	a
	)		const

ZpzDom< Integer >::Rep & axpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	b,
		const Rep &	c
	)		const [inline]

void axpy	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	x,
		constArray	c
	)		const [inline]

ZpzDom< Integer >::Rep & axpyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

void axpyin	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	x
	)		const [inline]

ZpzDom< Integer >::Rep & axmy	(	Rep &	r,
		const Rep &	a,
		const Rep &	b,
		const Rep &	c
	)		const [inline]

void axmy	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	x,
		constArray	c
	)		const [inline]

ZpzDom< Integer >::Rep & axmyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

ZpzDom< Integer >::Rep & maxpy	(	Rep &	r,
		const Rep &	a,
		const Rep &	b,
		const Rep &	c
	)		const [inline]

ZpzDom< Integer >::Rep & maxpyin	(	Rep &	r,
		const Rep &	a,
		const Rep &	b
	)		const [inline]

void maxpyin	(	const size_t	sz,
		Array	r,
		constArray	a,
		constArray	x
	)		const [inline]

void assign	(	const size_t	sz,
		Array	r,
		constArray	a
	)		const [inline]

ZpzDom< Integer >::Rep & assign	(	Rep &	r,
		const Rep &	a
	)		const [inline]

ZpzDom< Integer >::Rep & assign	(	Rep &	r,
		const long	a
	)		const [inline]

ZpzDom< Integer >::Rep & assign	(	Rep &	r,
		const unsigned long	a
	)		const [inline]

ZpzDom< Integer >::Rep & assign	(	Rep &	r,
		const short	a
	)		const [inline]

ZpzDom< Integer >::Rep & assign	(	Rep &	r,
		const unsigned short	a
	)		const [inline]

ZpzDom< Integer >::Rep & random	(	RandIter &	g,
		Rep &	r
	)		const [inline]

ZpzDom< Integer >::Rep & random	(	RandIter &	g,
		Rep &	r,
		long	s
	)		const [inline]

ZpzDom< Integer >::Rep & random	(	RandIter &	g,
		Rep &	r,
		const Rep &	b
	)		const [inline]

ZpzDom< Integer >::Rep & nonzerorandom	(	RandIter &	g,
		Rep &	r
	)		const [inline]

ZpzDom< Integer >::Rep & nonzerorandom	(	RandIter &	g,
		Rep &	r,
		long	s
	)		const [inline]

ZpzDom< Integer >::Rep & nonzerorandom	(	RandIter &	g,
		Rep &	r,
		const Rep &	b
	)		const [inline]

Rep& reduceadd	(	Rep &	r,
		const size_t	sz,
		constArray	a
	)		const

Rep& reducemul	(	Rep &	r,
		const size_t	sz,
		constArray	a
	)		const

void i2d	(	const size_t	sz,
		double *	r,
		constArray	a
	)		const [inline]

void d2i	(	const size_t	sz,
		Array	r,
		const double *	a
	)		const [inline]

std::istream & read

(

std::istream &

s

)

[inline]

std::ostream & write

(

std::ostream &

s

)

const [inline]

Examples:

examples/Integer/iexponentiation.C.

std::istream & read	(	std::istream &	s,
		Rep &	a
	)		const [inline]

std::ostream & write	(	std::ostream &	s,
		const Rep &	a
	)		const [inline]

void Init

(

)

[static, protected]

void End

(

)

[static, protected]

---

Field Documentation

const Rep zero

const Rep one

Residu_t _p [protected]

---

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

• givzpzInt.h
• givzpzInt.C
• givzpzInt.inl