Namespace in which the whole Givaro library resides. More...

Data Structures
struct	_perfArray0< T >
	defined by marco GIVARO_PERF_DEFCLASS. ref counting and stuff. More...
class	Array0
	NODOC. More...
class	ArrayAllocatort
	ArrayAllocator: class for allocation of arrays. More...
class	Array0Tag
	Array0Tag. More...
class	ArrayFixed
	ArrayFixed. More...
struct	__giv_map_less_ith< T, UNARYOP, 0 >
struct	__giv_map_less_ith< T, UNARYOP, ith >
struct	__giv_map_less_ith_const< T, UNARYOP, 0 >
struct	__giv_map_less_ith_const< T, UNARYOP, ith >
class	Bits
	Bits. More...
struct	ElemRef
	Elem Ref. More...
struct	ElemConstRef
	Elem const Ref. More...
struct	Pair
	Pair. More...
class	Key
	The class Key. More...
class	HashTable
	Hash table. More...
class	List0
	ListO. More...
class	Stack
	Stack. More...
class	Integer
	This is the Integer class. More...
class	Rationel
class	IntegerDom
	Integer Domain. More...
class	IntFactorDom
	Integer Factor Domain. More...
class	IntNumTheoDom
	Num theory Domain. More...
class	FermatDom
	Fermat numbers. More...
class	IntPrimeDom
	Primality tests. More...
class	IntRNSsystem
	RNS system class. No doc. More...
class	IntRSADom
	RSA domain. More...
class	IntSqrtModDom
	Modular square roots. More...
class	GivMMInfo
	Static informations of memory allocation. More...
class	BlocFreeList
	Data structure of a bloc. More...
class	GivMMFreeList
	Implementation of a memory manager with free-lists. More...
class	GivMMRefCount
	Memory management with reference counter on allocated data. More...
class	GivaroMM
	Memory manager that allocates array of object of type T for. More...
class	RefCountPtr
	Refcount Pointer. More...
class	RefCounter
	Ref counter. More...
struct	ieee
class	Rational
	Rationals. No doc. More...
class	RationalDom
	Rational Domain. More...
class	Neutral
	Neutral type. More...
class	givNoInit
	Used to build no initialized object as static object. More...
class	givNoCopy
	Used to call cstor without copy. More...
class	givWithCopy
	Used to call cstor with copy. More...
class	GivError
	Base class for exeception handling in Givaro. More...
class	GivMathError
	Math error. More...
class	GivBadFormat
	Exception thrown in input of data structure. More...
class	GivMathDivZero
	Div by 0. More...
struct	__givdom_trait_name
	give a name for /read/write More...
class	BaseDomain
	Base Domain. More...
struct	__givdom_trait_name< char >
struct	__givdom_trait_name< short >
struct	__givdom_trait_name< int >
struct	__givdom_trait_name< long >
struct	__givdom_trait_name< float >
struct	__givdom_trait_name< double >
class	GivaroMain
	Initialisation of GIVARO . More...
class	GivaroAppli
	Main application class Could be not used. More...
class	GivaroNoInit
	GivaroNoInit. More...
class	InitAfter
	InitAfter. More...
class	GivModule
	GivModule. More...
class	ObjectInit
	GivModule. More...
class	GivRandom
	GivRandom. More...
class	BaseTimer
	base for class RealTimer; class SysTimer; class UserTimer; More...
class	RealTimer
	Real timer. More...
class	UserTimer
	User timer. More...
class	SysTimer
	Sys timer. More...
class	Timer
	Timer. More...
class	GIV_randIter
	Random field Element generator. More...
struct	ChineseRemainder
	CRA. More...
struct	ChineseRemainder< Ring, Domain, false >
	CRA2. More...
class	Extension
	Extension. More...
class	GIV_ExtensionrandIter
	Extension rand iters. More...
class	GFqDom
	class GFqDom More...
class	GFqExtFast
	GFq Ext. More...
class	GFqExt
	GFq Ext (other) More...
struct	GFqKronecker
	GFqKronecker. More...
class	Montgomery< Std32 >
	This class implements the standard arithmetic with Modulo Elements. More...
class	Primes16
	class Primes16 More...
class	RNSsystem
	class RNSsystem. More...
class	RNSsystemFixed
	NO DOC. More...
class	AdicSize
class	ZpzDom< Std16 >
	This class implement the standard arithmetic with Modulo Elements. More...
class	ZpzDom< Log16 >
	This class implement the standard arithmetic with Modulo Elements. More...
class	ZpzDom< Std32 >
	This class implement the standard arithmetic with Modulo Elements. More...
class	ZpzDom< Unsigned32 >
	This class implement the standard arithmetic with Modulo Elements. More...
class	ZpzDom< Std64 >
	This class implement the standard arithmetic with Modulo Elements. More...
class	ZpzDom
	This class implement the standard arithmetic with Modulo Elements. More...
class	ZpzDom< Integer >
	This class implement the standard arithmetic with Modulo Elements. More...
struct	Std16
struct	Std32
struct	Unsigned32
struct	Log16
struct	Std64
class	StaticElement
	Static Element. More...
class	MatrixDom< Domain, Dense >
class	MatrixDom
class	MatrixDom< Domain, Sparse >
struct	RetMatrixStorage
struct	RetMatrix2Storage
struct	RetMatrixStorage< T, Dense >
struct	RetMatrixStorage< T, Sparse >
class	Degree
	Degree type for polynomials. More...
class	Indeter
	Indeterminate. More...
struct	Interpolation
	Interpolation. More...
struct	NewtonInterpGeomMultip
	Newton (multip) More...
struct	NewtonInterpGeom
	Newton. More...
class	Poly1CRT
	Poly1 CRT. More...
class	givvector
	givvector More...
class	Poly1Dom< Domain, Dense >
	Class Poly1Dom. More...
class	Poly1FactorDom
	Poly1FactorDom. More...
class	Poly1PadicDom< Domain, Dense >
	Poly1 p-adic. More...
struct	KSpace
class	Undefined
struct	IsEqual
struct	IsEqual< A, A >
struct	IsNotEqual
class	Sporadic
class	Dense
class	Sparse
struct	Sparsity_Trait
class	DefaultFormat
struct	StructFormat
class	FixedTruncDom
struct	Frac
struct	FracDom
struct	HighOrder
class	isUndefinedIterator
class	isForwardIterator
class	isBidirectionalIterator
class	isRandomIterator
struct	IteratorTraits
struct	IteratorInterface
struct	BaseOP
struct	CopyOp
struct	MulOp
struct	DivOp
struct	ModOp
struct	AddOp
struct	SubOp
struct	NegOp
struct	MulAddOp
struct	Curried1
struct	Curried2
struct	QuotientDom
class	TruncDom
struct	RetVectorStorage
struct	RetVector2Storage
struct	RetVectorStorage< T, Dense >
class	VectorDom
	VectorDom<Domain,StorageTag> More...
class	VectorDom< Domain, Sparse >

Typedefs
typedef ZpzDom< Unsigned32 >	Field1
typedef StaticElement< Field1 >	Element1
typedef GFqDom< long >	Field2
typedef StaticElement< Field2 >	Element2
typedef Montgomery< Std32 >	Field3
typedef StaticElement< Field3 >	Element3
typedef ZpzDom< Integer >	Field4
typedef StaticElement< Field4 >	Element4
typedef ZpzDom< Std32 >	Field5
typedef StaticElement< Field5 >	Element5
typedef ZpzDom< Std16 >	Field6
typedef StaticElement< Field6 >	Element6
typedef ZpzDom< Log16 >	Field7
typedef StaticElement< Field7 >	Element7
typedef GFqDom< long >	Field
typedef StaticElement< Field >	Element
typedef BaseDomain< char >	CharDom
	char dom
typedef BaseDomain< short >	ShortDom
	short dom
typedef BaseDomain< int >	IntDom
	int dom
typedef BaseDomain< long >	LongDom
	long dom
typedef BaseDomain< float >	FloatDom
	float dom
typedef BaseDomain< double >	DoubleDom
	double dom

Functions
std::ostream &	operator<< (std::ostream &o, const Bits &a)
template<class T1 , class T2 >
ostream &	operator<< (ostream &o, const Pair< T1, T2 > &p)
	IO.
template<class T1 , class T2 >
istream &	operator>> (istream &fin, Pair< T1, T2 > &p)
	IO.
Integer &	inv (Integer &u, const Integer &a, const Integer &b)
Integer &	invin (Integer &u, const Integer &b)
Integer	gcd (const Integer &a, const Integer &b)
Integer	gcd (Integer &u, Integer &v, const Integer &a, const Integer &b)
Integer &	gcd (Integer &g, const Integer &a, const Integer &b)
Integer &	gcd (Integer &g, Integer &u, Integer &v, const Integer &a, const Integer &b)
Integer	pp (const Integer &P, const Integer &Q)
Integer &	lcm (Integer &g, const Integer &a, const Integer &b)
Integer	lcm (const Integer &a, const Integer &b)
Integer &	pow (Integer &Res, const Integer &n, const long int l)
Integer &	pow (Integer &Res, const long unsigned int n, const long unsigned int l)
Integer &	pow (Integer &Res, const Integer &n, const long unsigned int l)
Integer &	pow (Integer &Res, const Integer &n, const int l)
Integer &	pow (Integer &Res, const Integer &n, const unsigned int l)
Integer	pow (const Integer &n, const long int l)
Integer	pow (const Integer &n, const long unsigned int l)
Integer	pow (const Integer &n, const int l)
Integer	pow (const Integer &n, const unsigned int l)
Integer &	powmod (Integer &Res, const Integer &n, const long unsigned int e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const long int e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const unsigned int e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const int e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const Integer &e, const Integer &m)
Integer	powmod (const Integer &n, const long unsigned int e, const Integer &m)
Integer	powmod (const Integer &n, const long int e, const Integer &m)
Integer	powmod (const Integer &n, const unsigned int e, const Integer &m)
Integer	powmod (const Integer &n, const int e, const Integer &m)
Integer	powmod (const Integer &n, const Integer &e, const Integer &m)
int	sign (const Integer &a)
int	compare (const Integer &a, const Integer &b)
int	absCompare (const Integer &a, const Integer &b)
int	absCompare (const Integer &a, const double b)
int	absCompare (const Integer &a, const float b)
int	absCompare (const Integer &a, const long unsigned b)
int	absCompare (const Integer &a, const unsigned b)
int	absCompare (const Integer &a, const long int b)
int	absCompare (const Integer &a, const int b)
template<class T >
int	absCompare (const T a, const Integer &b)
int	isZero (const Integer &a)
int	nonZero (const Integer &a)
int	isOne (const Integer &a)
Integer	fact (long unsigned int l)
Integer	sqrt (const Integer &p)
Integer	sqrtrem (const Integer &p, Integer &rem)
Integer &	sqrt (Integer &r, const Integer &p)
Integer &	sqrtrem (Integer &r, const Integer &p, Integer &rem)
bool	root (Integer &q, const Integer &, unsigned int n)
long	logp (const Integer &a, const Integer &p)
double	logtwo (const Integer &a)
double	naturallog (const Integer &a)
void	swap (Integer &, Integer &)
int	isperfectpower (const Integer &)
Integer	abs (const Integer &n)
Integer &	prevprime (Integer &, const Integer &p)
Integer &	nextprime (Integer &, const Integer &p)
int	probab_prime (const Integer &p)
int	probab_prime (const Integer &p, int r)
int	jacobi (const Integer &u, const Integer &v)
int	legendre (const Integer &u, const Integer &v)
long unsigned	length (const Integer &a)
std::istream &	operator>> (std::istream &i, Integer &n)
std::ostream &	operator<< (std::ostream &o, const Integer &n)
std::ostream &	absOutput (std::ostream &o, const Integer &n)
void	importWords (Integer &, size_t, int, int, int, size_t, const void *)
Integer	operator+ (const int l, const Integer &n)
Integer	operator+ (const unsigned int l, const Integer &n)
Integer	operator+ (const long int l, const Integer &n)
Integer	operator+ (const long unsigned int l, const Integer &n)
Integer	operator+ (const Integer &n, const int l)
Integer	operator+ (const Integer &n, const unsigned int l)
Integer &	operator+= (Integer &n, const int l)
Integer &	operator+= (Integer &n, const unsigned int l)
int	operator!= (double l, const Integer &n)
int	operator!= (float l, const Integer &n)
int	operator!= (int l, const Integer &n)
int	operator!= (long int l, const Integer &n)
int	operator!= (long unsigned int l, const Integer &n)
int	operator!= (unsigned int l, const Integer &n)
int	operator== (double l, const Integer &n)
int	operator== (float l, const Integer &n)
int	operator== (int l, const Integer &n)
int	operator== (long int l, const Integer &n)
int	operator== (long unsigned int l, const Integer &n)
int	operator== (unsigned int l, const Integer &n)
int	operator> (double l, const Integer &n)
int	operator> (float l, const Integer &n)
int	operator> (int l, const Integer &n)
int	operator> (long int l, const Integer &n)
int	operator> (long unsigned int l, const Integer &n)
int	operator> (unsigned int l, const Integer &n)
int	operator< (double l, const Integer &n)
int	operator< (float l, const Integer &n)
int	operator< (int l, const Integer &n)
int	operator< (long int l, const Integer &n)
int	operator< (long unsigned int l, const Integer &n)
int	operator< (unsigned int l, const Integer &n)
int	operator>= (double l, const Integer &n)
int	operator>= (float l, const Integer &n)
int	operator>= (int l, const Integer &n)
int	operator>= (long int l, const Integer &n)
int	operator>= (long unsigned int l, const Integer &n)
int	operator>= (unsigned int l, const Integer &n)
int	operator<= (double l, const Integer &n)
int	operator<= (float l, const Integer &n)
int	operator<= (int l, const Integer &n)
int	operator<= (long int l, const Integer &n)
int	operator<= (long unsigned int l, const Integer &n)
int	operator<= (unsigned int l, const Integer &n)
int	isZero (const short int a)
int	isZero (const int a)
int	isZero (const long int a)
int	isZero (const unsigned short int a)
int	isZero (const unsigned int a)
int	isZero (const long unsigned int a)
Integer	operator/ (const int l, const Integer &n)
Integer	operator/ (const long int l, const Integer &n)
Integer	operator/ (const Integer &n, const int l)
Integer	operator/ (const Integer &n, const unsigned int l)
Integer &	operator/= (Integer &n, const int l)
Integer &	operator/= (Integer &n, const long int l)
Integer &	operator/= (Integer &n, const unsigned int l)
Integer	operator% (const int l, const Integer &n)
Integer	operator% (const long int l, const Integer &n)
Integer	operator% (const Integer &n, const int l)
Integer	operator% (const Integer &n, const unsigned int l)
Integer &	operator%= (Integer &n, const int l)
Integer &	operator%= (Integer &n, const unsigned int l)
Integer	operator* (const int l, const Integer &n)
Integer	operator* (const unsigned int l, const Integer &n)
Integer	operator* (const long int l, const Integer &n)
Integer	operator* (const long unsigned int l, const Integer &n)
Integer	operator* (const Integer &n, const int l)
Integer	operator* (const Integer &n, const unsigned int l)
Integer &	operator*= (Integer &n, const int l)
Integer &	operator*= (Integer &n, const unsigned int l)
Integer &	pow (Integer &Res, const long unsigned int n, const long unsigned p)
Integer &	pow (Integer &Res, const Integer &n, const long unsigned p)
Integer	pow (const Integer &n, const long unsigned p)
Integer &	powmod (Integer &Res, const Integer &n, const long unsigned p, const Integer &m)
Integer	powmod (const Integer &n, const long unsigned p, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const long e, const Integer &m)
Integer	powmod (const Integer &n, const long e, const Integer &m)
Integer	operator- (const int l, const Integer &n)
Integer	operator- (const unsigned int l, const Integer &n)
Integer	operator- (const long int l, const Integer &n)
Integer	operator- (const long unsigned int l, const Integer &n)
Integer	operator- (const Integer &n, const int l)
Integer	operator- (const Integer &n, const unsigned int l)
Integer &	operator-= (Integer &n, const int l)
Integer &	operator-= (Integer &n, const unsigned int l)
Rationel	abs (const Rationel &n)
std::istream &	operator>> (std::istream &i, Rationel &n)
std::ostream &	operator<< (std::ostream &o, const Rationel &n)
std::ostream &	absOutput (std::ostream &o, const Rationel &n)
void	importWords (Rationel &, size_t, int, int, int, size_t, const void *)
void	Add_Curve (const Integer &n, const Integer A, const Integer &ax, const Integer &az, Integer &cx, Integer &cz)
void	one_Mul_Curve (const Integer &n, const Integer A, const Integer &mm, const Integer &nn, const Integer &px, const Integer &pz, Integer &ax, Integer &az)
void	one_Mul_Curve2 (const Integer &n, const Integer A, const Integer &mm, const Integer &nn, const Integer &px, const Integer &pz, Integer &aax, Integer &aaz)
void	Mul_Curve (const Integer &n, Integer &Ai, const Integer &mm, const Integer &nn, const Integer &B1, Integer &Xi, Integer &Zi)
Integer &	ppin (Integer &res, const Integer &prime)
std::ostream &	operator<< (std::ostream &o, const GivMMInfo &T)
	IO.
int	compare (const Rational &a, const Rational &b)
int	absCompare (const Rational &a, const Rational &b)
template double	power (double x, unsigned int p)
std::istream &	operator>> (std::istream &in, Rational &r)
const Rational	pow (const Rational &r, const long l)
const Integer	floor (const Rational &r)
const Integer	ceil (const Rational &r)
const Integer	round (const Rational &r)
const Integer	trunc (const Rational &r)
const Rational	abs (const Rational &r)
const Rational	pow (const Rational &n, unsigned int l)
const Rational	pow (const Rational &n, unsigned long l)
unsigned long	length (const Rational &r)
int	sign (const Rational &r)
int	isZero (const Rational &r)
int	isOne (const Rational &r)
int	isInteger (const Rational &r)
int	operator!= (const Rational &a, const Rational &b)
int	operator== (const Rational &a, const Rational &b)
int	operator< (const Rational &a, const Rational &b)
int	operator> (const Rational &a, const Rational &b)
int	operator<= (const Rational &a, const Rational &b)
int	operator>= (const Rational &a, const Rational &b)
const Rational	operator+ (const Rational &r, const int i)
const Rational	operator- (const Rational &r, const int i)
const Rational	operator* (const Rational &r, const int i)
const Rational	operator/ (const Rational &r, const int i)
const Rational	operator+ (const int i, const Rational &r)
const Rational	operator- (const int i, const Rational &r)
const Rational	operator* (const int i, const Rational &r)
const Rational	operator/ (const int i, const Rational &r)
std::ostream &	operator<< (std::ostream &o, const Rational &a)
template<typename Target , typename Source >
Target &	Caster (Target &t, const Source &s)
std::ostream &	operator<< (std::ostream &o, const GivError &E)
template<typename T >
unsigned	GIVINTLOG (const T &a)
	Integer log.
template<class TT , class UU >
TT	power (const TT n, const UU l)
	Powering.
template<class D , class TT >
TT &	dom_power (TT &res, const TT &n, long l, const D &F)
	dom_power
std::ostream &	operator<< (std::ostream &o, const BaseTimer &BT)
	I/O.
std::ostream &	operator<< (std::ostream &o, const Timer &T)
	I/O.
template<class Rt >
Rt	FF_EXPONENT_MAX (const Rt p, const Rt maxe=21)
	XXX.
template<class Rt >
Rt	FF_SUBEXPONENT_MAX (const Rt p, const Rt e)
	XXX.
template<typename Field >
unsigned long	Exponent_Trait (const Field &F)
	XXX.
template<>
unsigned long	Exponent_Trait (const GFqDom< long > &F)
	XXX.
template<typename BaseField >
unsigned long	Exponent_Trait (const Extension< BaseField > &F)
	XXX.
long	value (const Degree &d)
	value
std::ostream &	operator<< (std::ostream &o, const Indeter &X)
std::istream &	operator>> (std::istream &s_in, Indeter &X)
int	operator== (const Indeter &i1, const Indeter &i2)
int	operator!= (const Indeter &i1, const Indeter &i2)
int	operator<= (const Indeter &i1, const Indeter &i2)
int	operator< (const Indeter &i1, const Indeter &i2)
int	operator>= (const Indeter &i1, const Indeter &i2)
int	operator> (const Indeter &i1, const Indeter &i2)
template<class Domain >
KSpace< Domain >	operator* (const typename KSpace< Domain >::Scalar_t &v, const KSpace< Domain > &U)
template<class Domain >
void	dotprod (typename Domain::Scalar_t &dot, const KSpace< Domain > &U, const KSpace< Domain > &V)
template<class Domain >
ostream &	operator<< (ostream &sout, const KSpace< Domain > &U)
template<class Domain >
istream &	operator>> (istream &sin, KSpace< Domain > &U)
template<class T , class Tag >
StructFormat< T, Tag >	Formatted (const T &val, Tag xx)

Detailed Description

Namespace in which the whole Givaro library resides.

Todo:: use NTL if available ?

Typedef Documentation

typedef ZpzDom<Unsigned32> Field1

Examples:: examples/FiniteField/all_field.C, and examples/Polynomial/PolynomialCRT.C.

typedef StaticElement< Field1 > Element1

Examples:: examples/FiniteField/all_field.C.

typedef GFqDom<long> Field2

Examples:: examples/FiniteField/all_field.C, and examples/Polynomial/PolynomialCRT.C.

typedef StaticElement< Field2 > Element2

Examples:: examples/FiniteField/all_field.C.

typedef Montgomery<Std32> Field3

Examples:: examples/FiniteField/all_field.C, and examples/Polynomial/PolynomialCRT.C.

typedef StaticElement< Field3 > Element3

Examples:: examples/FiniteField/all_field.C.

typedef ZpzDom<Integer> Field4

Examples:: examples/FiniteField/all_field.C, and examples/Polynomial/PolynomialCRT.C.

typedef StaticElement< Field4 > Element4

Examples:: examples/FiniteField/all_field.C.

typedef ZpzDom<Std32> Field5

Examples:: examples/FiniteField/all_field.C, and examples/Polynomial/PolynomialCRT.C.

typedef StaticElement< Field5 > Element5

Examples:: examples/FiniteField/all_field.C.

typedef ZpzDom<Std16> Field6

Examples:: examples/FiniteField/all_field.C, and examples/Polynomial/PolynomialCRT.C.

typedef StaticElement< Field6 > Element6

Examples:: examples/FiniteField/all_field.C.

typedef ZpzDom<Log16> Field7

Examples:: examples/FiniteField/all_field.C, and examples/Polynomial/PolynomialCRT.C.

typedef StaticElement< Field7 > Element7

Examples:: examples/FiniteField/all_field.C.

typedef GFqDom<long> Field

Examples:: examples/FiniteField/all_field.C, examples/FiniteField/domain_to_operatorstyle.C, examples/Integer/ModularSquareRoot.C, and examples/Polynomial/highorder.C.

typedef StaticElement< Field > Element

Examples:: examples/FiniteField/all_field.C, examples/FiniteField/domain_to_operatorstyle.C, examples/FiniteField/Test_Extension.C, examples/Integer/isprime.C, examples/Integer/ModularSquareRoot.C, examples/Integer/nextprime.C, examples/Integer/prevprime.C, examples/Integer/RSA_breaking.C, examples/Polynomial/highorder.C, and examples/Polynomial/PolynomialCRT.C.

typedef BaseDomain<char> CharDom

char dom

typedef BaseDomain<short> ShortDom

short dom

typedef BaseDomain<int> IntDom

int dom

typedef BaseDomain<long> LongDom

long dom

typedef BaseDomain<float> FloatDom

float dom

typedef BaseDomain<double> DoubleDom

double dom

Function Documentation

std::ostream& Givaro::operator<<	(	std::ostream &	o,
		const Bits &	a
	)

inline

Examples:: examples/Rational/polydouble.C.

ostream& Givaro::operator<<	(	ostream &	o,
		const Pair< T1, T2 > &	p
	)

IO.

istream& Givaro::operator>>	(	istream &	fin,
		Pair< T1, T2 > &	p
	)

IO.

Integer & inv	(	Integer &	u,
		const Integer &	a,
		const Integer &	b
	)

       Compute the inverse u = a/b.

Parameters:

u
a
b

Integer & invin	(	Integer &	u,
		const Integer &	b
	)

Parameters:

u
b

Integer gcd	(	const Integer &	a,
		const Integer &	b
	)

Parameters:

a,b integers

Returns:: gcd(a,b)

Examples:: examples/Integer/ProbLucas.C.

Integer gcd	(	Integer &	u,
		Integer &	v,
		const Integer &	a,
		const Integer &	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer & gcd	(	Integer &	g,
		const Integer &	a,
		const Integer &	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer & gcd	(	Integer &	g,
		Integer &	u,
		Integer &	v,
		const Integer &	a,
		const Integer &	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer pp	(	const Integer &	P,
		const Integer &	Q
	)

Parameters:

P,Q params

Integer & lcm	(	Integer &	g,
		const Integer &	a,
		const Integer &	b
	)

Parameters:

g,a,b

Returns:: g=lcm(a,b)

Integer lcm	(	const Integer &	a,
		const Integer &	b
	)

Parameters:

a,b

Integer & pow	(	Integer &	Res,
		const Integer &	n,
		const long int	l
	)

return $n^l$

Parameters:

Res,n,l

Examples:: examples/Integer/ProbLucas.C.

Integer& Givaro::pow	(	Integer &	Res,
		const long unsigned int	n,
		const long unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::pow	(	Integer &	Res,
		const Integer &	n,
		const long unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::pow	(	Integer &	Res,
		const Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::pow	(	Integer &	Res,
		const Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer pow	(	const Integer &	n,
		const long int	l
	)

return $n^l$

Parameters:

n,l

Integer Givaro::pow	(	const Integer &	n,
		const long unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::pow	(	const Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::pow	(	const Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::powmod	(	Integer &	Res,
		const Integer &	n,
		const long unsigned int	e,
		const Integer &	m
	)

Integer& Givaro::powmod	(	Integer &	Res,
		const Integer &	n,
		const long int	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::powmod	(	Integer &	Res,
		const Integer &	n,
		const unsigned int	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::powmod	(	Integer &	Res,
		const Integer &	n,
		const int	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer & powmod	(	Integer &	Res,
		const Integer &	n,
		const Integer &	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::powmod	(	const Integer &	n,
		const long unsigned int	e,
		const Integer &	m
	)

return $n^e \mod m$ .

Parameters:

n,e,m

Integer Givaro::powmod	(	const Integer &	n,
		const long int	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::powmod	(	const Integer &	n,
		const unsigned int	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::powmod	(	const Integer &	n,
		const int	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer powmod	(	const Integer &	n,
		const Integer &	e,
		const Integer &	m
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::sign ( const Integer & a )

Parameters:

a

int compare	(	const Integer &	a,
		const Integer &	b
	)

Parameters:

a	integer
b	integer

Returns:: 1 if , 0 if and -1 otherwise.

int absCompare	(	const Integer &	a,
		const Integer &	b
	)

Parameters:

a	integer
b	integer

Returns:: 1 if , 0 if and -1 otherwise.

int absCompare	(	const Integer &	a,
		const double	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int absCompare	(	const Integer &	a,
		const float	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int absCompare	(	const Integer &	a,
		const long unsigned	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int absCompare	(	const Integer &	a,
		const unsigned	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int absCompare	(	const Integer &	a,
		const long int	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int absCompare	(	const Integer &	a,
		const int	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::absCompare	(	const T	a,
		const Integer &	b
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int isZero ( const Integer & a )

Parameters:

a

Examples:: examples/Integer/ProbLucas.C.

int nonZero ( const Integer & a )

Parameters:

a

int isOne ( const Integer & a )

Parameters:

a

Examples:: examples/Integer/ProbLucas.C.

Integer fact ( long unsigned int l )

Parameters:

l

Integer sqrt ( const Integer & p )

Parameters:

p

Examples:: examples/Integer/ProbLucas.C.

Integer sqrtrem	(	const Integer &	p,
		Integer &	rem
	)

Parameters:

p,rem

Integer & sqrt	(	Integer &	r,
		const Integer &	p
	)

Parameters:

r,p

Integer & sqrtrem	(	Integer &	r,
		const Integer &	p,
		Integer &	rem
	)

Parameters:

r,p,rem

bool root	(	Integer &	q,
		const Integer &	a,
		unsigned int	n
	)

Parameters:

q,a,n

Examples:: examples/Integer/ModularSquareRoot.C, and examples/Integer/ProbLucas.C.

long logp	(	const Integer &	a,
		const Integer &	p
	)

Parameters:

a,p

double logtwo ( const Integer & a )

Parameters:

a

Examples:: examples/Integer/ProbLucas.C.

double naturallog ( const Integer & a )

Parameters:

a

void swap	(	Integer &	a,
		Integer &	b
	)

swap

Parameters:

a,b

int isperfectpower ( const Integer & n )

Examples:: examples/Integer/ispower.C.

Integer abs ( const Integer & n )

Integer & prevprime	(	Integer &	r,
		const Integer &	p
	)

Integer & nextprime	(	Integer &	r,
		const Integer &	p
	)

int probab_prime ( const Integer & p )

int probab_prime	(	const Integer &	p,
		int	r
	)

int jacobi	(	const Integer &	u,
		const Integer &	v
	)

int legendre	(	const Integer &	u,
		const Integer &	v
	)

long unsigned int length ( const Integer & a )

Parameters:

a

std::istream & operator>>	(	std::istream &	i,
		Integer &	n
	)

in operator.

Parameters:

i	input stream
n	integer to be built

std::ostream & operator<<	(	std::ostream &	o,
		const Integer &	n
	)

Parameters:

o	output stream
n	integer to be printed

std::ostream & absOutput	(	std::ostream &	o,
		const Integer &	n
	)

Parameters:

o	output
n	integer

void importWords	(	Integer &	x,
		size_t	count,
		int	order,
		int	size,
		int	endian,
		size_t	nails,
		const void *	op
	)

Parameters:

x	x
count	x
order	x
size	x
endian	x
nails	x
op	x

Integer Givaro::operator+	(	const int	l,
		const Integer &	n
	)

Parameters:

l,n	to be added

Integer Givaro::operator+	(	const unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator+	(	const long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator+	(	const long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator+	(	const Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator+	(	const Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::operator+=	(	Integer &	n,
		const int	l
	)

Parameters:

n	Integer
l	to be added up

Integer& Givaro::operator+=	(	Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator!=	(	double	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator!=	(	float	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator!=	(	int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator!=	(	long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator!=	(	long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator!=	(	unsigned int	l,
		const Integer &	n
	)

Parameters:

l,n integer

Returns:: 1 iff l == n

int Givaro::operator==	(	double	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator==	(	float	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator==	(	int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator==	(	long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator==	(	long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator==	(	unsigned int	l,
		const Integer &	n
	)

Parameters:

l,n	integers to compare

int Givaro::operator>	(	double	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>	(	float	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>	(	int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>	(	long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>	(	long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>	(	unsigned int	l,
		const Integer &	n
	)

Parameters:

l,n	integers to compare

int Givaro::operator<	(	double	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<	(	float	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<	(	int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<	(	long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<	(	long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<	(	unsigned int	l,
		const Integer &	n
	)

Parameters:

l,n	integers to compare

int Givaro::operator>=	(	double	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>=	(	float	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>=	(	int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>=	(	long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>=	(	long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator>=	(	unsigned int	l,
		const Integer &	n
	)

Parameters:

l,n	integers to compare

int Givaro::operator<=	(	double	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<=	(	float	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<=	(	int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<=	(	long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<=	(	long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::operator<=	(	unsigned int	l,
		const Integer &	n
	)

Parameters:

l,n	integers to compare

int Givaro::isZero ( const short int a )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::isZero ( const int a )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::isZero ( const long int a )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::isZero ( const unsigned short int a )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::isZero ( const unsigned int a )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

int Givaro::isZero ( const long unsigned int a )

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator/	(	const int	l,
		const Integer &	n
	)

Integer Givaro::operator/	(	const long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator/	(	const Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator/	(	const Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::operator/=	(	Integer &	n,
		const int	l
	)

Integer& Givaro::operator/=	(	Integer &	n,
		const long int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::operator/=	(	Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator%	(	const int	l,
		const Integer &	n
	)

Parameters:

l
n

Returns:: nl

Integer Givaro::operator%	(	const long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator%	(	const Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator%	(	const Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::operator%=	(	Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::operator%=	(	Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator*	(	const int	l,
		const Integer &	n
	)

Parameters:

l,n	to be multpct

Integer Givaro::operator*	(	const unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator*	(	const long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator*	(	const long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator*	(	const Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator*	(	const Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::operator*=	(	Integer &	n,
		const int	l
	)

Parameters:

l,n	to be multpct

Integer& Givaro::operator*=	(	Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::pow	(	Integer &	Res,
		const long unsigned int	n,
		const long unsigned	p
	)

Integer& Givaro::pow	(	Integer &	Res,
		const Integer &	n,
		const long unsigned	p
	)

Integer Givaro::pow	(	const Integer &	n,
		const long unsigned	p
	)

Integer& Givaro::powmod	(	Integer &	Res,
		const Integer &	n,
		const long unsigned	p,
		const Integer &	m
	)

Integer Givaro::powmod	(	const Integer &	n,
		const long unsigned	p,
		const Integer &	m
	)

Integer& Givaro::powmod	(	Integer &	Res,
		const Integer &	n,
		const long	e,
		const Integer &	m
	)

Integer Givaro::powmod	(	const Integer &	n,
		const long	e,
		const Integer &	m
	)

Integer Givaro::operator-	(	const int	l,
		const Integer &	n
	)

Parameters:

l,n	to be substracted

Integer Givaro::operator-	(	const unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator-	(	const long int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator-	(	const long unsigned int	l,
		const Integer &	n
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator-	(	const Integer &	n,
		const int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer Givaro::operator-	(	const Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Integer& Givaro::operator-=	(	Integer &	n,
		const int	l
	)

Parameters:

l,n	to be substracted

Integer& Givaro::operator-=	(	Integer &	n,
		const unsigned int	l
	)

This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts.

Rationel abs ( const Rationel & n )

std::istream & operator>>	(	std::istream &	i,
		Rationel &	n
	)

std::ostream & operator<<	(	std::ostream &	o,
		const Rationel &	n
	)

std::ostream & absOutput	(	std::ostream &	o,
		const Rationel &	n
	)

void Givaro::importWords	(	Rationel &	,
		size_t	,
		int	,
		int	,
		int	,
		size_t	,
		const void *
	)

void Givaro::Add_Curve	(	const Integer &	n,
		const Integer	A,
		const Integer &	ax,
		const Integer &	az,
		Integer &	cx,
		Integer &	cz
	)

inline

void Givaro::one_Mul_Curve	(	const Integer &	n,
		const Integer	A,
		const Integer &	mm,
		const Integer &	nn,
		const Integer &	px,
		const Integer &	pz,
		Integer &	ax,
		Integer &	az
	)

inline

void Givaro::one_Mul_Curve2	(	const Integer &	n,
		const Integer	A,
		const Integer &	mm,
		const Integer &	nn,
		const Integer &	px,
		const Integer &	pz,
		Integer &	aax,
		Integer &	aaz
	)

inline

void Givaro::Mul_Curve	(	const Integer &	n,
		Integer &	Ai,
		const Integer &	mm,
		const Integer &	nn,
		const Integer &	B1,
		Integer &	Xi,
		Integer &	Zi
	)

inline

Integer& Givaro::ppin	(	Integer &	res,
		const Integer &	prime
	)

inline

std::ostream& Givaro::operator<<	(	std::ostream &	o,
		const GivMMInfo &	T
	)

inline

IO.

int compare	(	const Rational &	a,
		const Rational &	b
	)

int absCompare	(	const Rational &	a,
		const Rational &	b
	)

template double Givaro::power	(	double	x,
		unsigned int	p
	)

Examples:: examples/FiniteField/GFirreducible.C.

std::istream & operator>>	(	std::istream &	in,
		Rational &	r
	)

const Rational pow	(	const Rational &	r,
		const long	l
	)

const Integer floor ( const Rational & r )

const Integer ceil ( const Rational & r )

const Integer round ( const Rational & r )

const Integer trunc ( const Rational & r )

const Rational abs ( const Rational & r )

inline

const Rational Givaro::pow	(	const Rational &	n,
		unsigned int	l
	)

const Rational Givaro::pow	(	const Rational &	n,
		unsigned long	l
	)

unsigned long length ( const Rational & r )

inline

int sign ( const Rational & r )

inline

int isZero ( const Rational & r )

inline

int isOne ( const Rational & r )

inline

int isInteger ( const Rational & r )

inline

int Givaro::operator!=	(	const Rational &	a,
		const Rational &	b
	)

inline

int Givaro::operator==	(	const Rational &	a,
		const Rational &	b
	)

inline

int Givaro::operator<	(	const Rational &	a,
		const Rational &	b
	)

inline

int Givaro::operator>	(	const Rational &	a,
		const Rational &	b
	)

inline

int Givaro::operator<=	(	const Rational &	a,
		const Rational &	b
	)

inline

int Givaro::operator>=	(	const Rational &	a,
		const Rational &	b
	)

inline

const Rational Givaro::operator+	(	const Rational &	r,
		const int	i
	)

inline

const Rational Givaro::operator-	(	const Rational &	r,
		const int	i
	)

inline

const Rational Givaro::operator*	(	const Rational &	r,
		const int	i
	)

inline

const Rational Givaro::operator/	(	const Rational &	r,
		const int	i
	)

inline

const Rational Givaro::operator+	(	const int	i,
		const Rational &	r
	)

inline

const Rational Givaro::operator-	(	const int	i,
		const Rational &	r
	)

inline

const Rational Givaro::operator*	(	const int	i,
		const Rational &	r
	)

inline

const Rational Givaro::operator/	(	const int	i,
		const Rational &	r
	)

inline

std::ostream& Givaro::operator<<	(	std::ostream &	o,
		const Rational &	a
	)

inline

Target& Givaro::Caster	(	Target &	t,
		const Source &	s
	)

std::ostream& Givaro::operator<<	(	std::ostream &	o,
		const GivError &	E
	)

unsigned Givaro::GIVINTLOG ( const T & a )

inline

Integer log.

TT Givaro::power	(	const TT	n,
		const UU	l
	)

Powering.

TT& Givaro::dom_power	(	TT &	res,
		const TT &	n,
		long	l,
		const D &	F
	)

dom_power

Examples:: examples/FiniteField/exponentiation.C, and examples/Integer/iexponentiation.C.

std::ostream& Givaro::operator<<	(	std::ostream &	o,
		const BaseTimer &	BT
	)

inline

I/O.

std::ostream& Givaro::operator<<	(	std::ostream &	o,
		const Timer &	T
	)

inline

I/O.

Rt Givaro::FF_EXPONENT_MAX	(	const Rt	p,
		const Rt	maxe = `21`
	)

XXX.

Examples:: examples/FiniteField/Test_Extension.C.

Rt Givaro::FF_SUBEXPONENT_MAX	(	const Rt	p,
		const Rt	e
	)

XXX.

Examples:: examples/FiniteField/Test_Extension.C.

unsigned long Givaro::Exponent_Trait ( const Field & F )

XXX.

unsigned long Givaro::Exponent_Trait ( const GFqDom< long > & F )

inline

XXX.

unsigned long Givaro::Exponent_Trait ( const Extension< BaseField > & F )

XXX.

long Givaro::value ( const Degree & d )

inline

value

std::ostream& Givaro::operator<<	(	std::ostream &	o,
		const Indeter &	X
	)

std::istream& Givaro::operator>>	(	std::istream &	s_in,
		Indeter &	X
	)

int Givaro::operator==	(	const Indeter &	i1,
		const Indeter &	i2
	)

inline

Bug:: put elsewere. Inline members functions :

int Givaro::operator!=	(	const Indeter &	i1,
		const Indeter &	i2
	)

inline

int Givaro::operator<=	(	const Indeter &	i1,
		const Indeter &	i2
	)

inline

int Givaro::operator<	(	const Indeter &	i1,
		const Indeter &	i2
	)

inline

int Givaro::operator>=	(	const Indeter &	i1,
		const Indeter &	i2
	)

inline

int Givaro::operator>	(	const Indeter &	i1,
		const Indeter &	i2
	)

inline

KSpace<Domain> Givaro::operator*	(	const typename KSpace< Domain >::Scalar_t &	v,
		const KSpace< Domain > &	U
	)

void Givaro::dotprod	(	typename Domain::Scalar_t &	dot,
		const KSpace< Domain > &	U,
		const KSpace< Domain > &	V
	)

inline

ostream& Givaro::operator<<	(	ostream &	sout,
		const KSpace< Domain > &	U
	)

inline

istream& Givaro::operator>>	(	istream &	sin,
		KSpace< Domain > &	U
	)

inline

StructFormat<T,Tag> Givaro::Formatted	(	const T &	val,
		Tag	xx
	)

Data Structures

Typedefs

Functions

Detailed Description

Typedef Documentation

Function Documentation