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

Namespaces
namespace	AlgorithmType
	Information about the type of method.

namespace	Protected

Data Structures
struct	__giv_map_less_ith
	Map opcode on all Elements less or requal that ith. More...

struct	__giv_map_less_ith< T, UNARYOP, 0 >

struct	__giv_map_less_ith< T, UNARYOP, ith >

struct	__giv_map_less_ith_const

struct	__giv_map_less_ith_const< T, UNARYOP, 0 >

struct	__giv_map_less_ith_const< T, UNARYOP, ith >

struct	__givdom_trait_name
	give a name for /read/write More...

struct	__givdom_trait_name< char >

struct	__givdom_trait_name< double >

struct	__givdom_trait_name< float >

struct	__givdom_trait_name< int >

struct	__givdom_trait_name< long >

struct	__givdom_trait_name< short >

struct	_perfArray0< T >
	defined by marco GIVARO_PERF_DEFCLASS. ref counting and stuff. More...

struct	AddOp

class	AdicSize

class	Array0
	NODOC. More...

class	Array0Tag
	Array0Tag. More...

class	ArrayAllocatort
	ArrayAllocator: class for allocation of arrays. More...

class	ArrayFixed
	ArrayFixed. More...

class	BaseDomain
	Base Domain. More...

struct	BaseOP

class	BaseTimer
	base for class RealTimer; class SysTimer; class UserTimer; More...

class	Bits
	Bits. More...

class	BlocFreeList
	Data structure of a bloc. More...

struct	ChineseRemainder
	CRA. More...

struct	ChineseRemainder< Ring, Domain, false >
	CRA2. More...

struct	CopyOp

struct	Curried1

struct	Curried2

class	CyclotomicTable
	CyclotomicTable. More...

class	DefaultFormat

class	Degree
	Degree type for polynomials. More...

class	Dense

struct	DivOp

struct	DomainRandIter

struct	DomainRandIter< ZRing< Integer > >

struct	ElemConstRef
	Elem const Ref. More...

struct	ElemRef
	Elem Ref. More...

class	Extension
	Extension. More...

class	FermatDom
	Fermat numbers. More...

struct	FieldInterface

struct	FiniteFieldInterface

struct	FiniteInterface

struct	FiniteRingInterface

class	FixedTruncDom

struct	Frac

struct	FracDom

class	GeneralRingNonZeroRandIter
	Random iterator for nonzero random numbers. More...

class	GeneralRingRandIter
	UnparametricRandIter. More...

class	GF2
	Integers modulo 2. More...

class	GFqDom
	class GFqDom More...

class	GFqExt
	GFq Ext (other) More...

class	GFqExtFast
	GFq Ext. More...

struct	GFqKronecker
	GFqKronecker. More...

class	GIV_ExtensionrandIter
	Extension rand iters. More...

class	GIV_randIter
	Random ring Element generator. More...

class	GivaroAppli
	Main application class Could be not used. More...

class	GivaroMain
	Initialisation of GIVARO . More...

class	GivaroMM
	Memory manager that allocates array of object of type T for. More...

class	GivaroNoInit
	GivaroNoInit. More...

class	GivBadFormat
	Exception thrown in input of data structure. More...

class	GivError
	Base class for exeception handling in Givaro. More...

class	GivMathDivZero
	Div by 0. More...

class	GivMathError
	Math error. More...

class	GivMMFreeList
	Implementation of a memory manager with free-lists. More...

class	GivMMInfo
	Static informations of memory allocation. More...

class	GivMMRefCount
	Memory management with reference counter on allocated data. More...

class	GivModule
	GivModule. More...

class	givNoCopy
	Used to call cstor without copy. More...

class	givNoInit
	Used to build no initialized object as static object. More...

class	GivRandom
	GivRandom. More...

class	givWithCopy
	Used to call cstor with copy. More...

class	HashTable
	Hash table. More...

class	HasTypeString

struct	HighOrder

struct	ieee

class	Indeter
	Indeterminate. More...

class	InitAfter
	InitAfter. More...

class	Integer
	This is the Integer class. More...

struct	Interpolation
	Interpolation. More...

class	IntFactorDom
	Integer Factor Domain. More...

class	IntNumTheoDom
	Num theory Domain. 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	isBidirectionalIterator

struct	IsEqual

struct	IsEqual< a, a >

class	isForwardIterator

struct	IsNotEqual

class	isRandomIterator

class	isUndefinedIterator

struct	IteratorInterface

struct	IteratorTraits

class	Key
	The class Key. More...

struct	KSpace

class	List0
	ListO. More...

class	MatrixDom

struct	Memorer

struct	ModOp

class	Modular
	Forward declaration for Givaro::Modular. More...

class	Modular< _Storage_t, _Compute_t, typename std::enable_if< is_same_ruint< _Storage_t, _Compute_t >::value\|\|is_smaller_ruint< _Storage_t, _Compute_t >::value\|\|is_same_rint< _Storage_t, _Compute_t >::value\|\|is_smaller_rint< _Storage_t, _Compute_t >::value >::type >

class	Modular< _Storage_t, _Compute_t, typename std::enable_if< std::is_floating_point< _Storage_t >::value >::type >

class	Modular< _Storage_t, _Compute_t, typename std::enable_if< std::is_integral< _Storage_t >::value &&std::is_integral< _Compute_t >::value &&(sizeof(_Storage_t)==sizeof(_Compute_t)\|\|2 *sizeof(_Storage_t)==sizeof(_Compute_t))>::type >

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

class	ModularBalanced

class	ModularExtended

class	ModularRandIter
	Random ring Element generator. More...

class	ModularRandIter< Modular< Integer > >

class	Montgomery

struct	MulAddOp

struct	MulOp

struct	NegOp

class	Neutral
	Neutral type. More...

struct	NewtonInterpGeom
	Newton. More...

struct	NewtonInterpGeomMultip
	Newton (multip) More...

class	ObjectInit
	GivModule. More...

struct	OMPTimer
	OMP timer. More...

struct	Pair
	Pair. More...

class	Poly1CRT
	Poly1 CRT. More...

class	Poly1Dom

class	Poly1FactorDom
	Poly1FactorDom. More...

class	Poly1PadicDom

class	Poly1PadicDom< Domain, Dense >
	Poly1 p-adic. More...

class	Primes16
	class Primes16 More...

class	QField

struct	QuotientDom

class	RandomIntegerIterator
	Random Integer Iterator. More...

class	Rational
	Rationals. No doc. More...

class	RealTimer
	Real timer. More...

class	RefCounter
	Ref counter. More...

class	RefCountPtr
	Refcount Pointer. More...

struct	RetMatrix2Storage

struct	RetMatrixStorage

struct	RetMatrixStorage< T, Dense >

struct	RetMatrixStorage< T, Sparse >

struct	RetVector2Storage

struct	RetVectorStorage

struct	RetVectorStorage< T, Dense >

struct	RetVectorStorage< T, Sparse >

struct	RingInterface

class	RNSsystem
	class RNSsystem. More...

class	RNSsystemFixed
	NO DOC. More...

class	Sparse

struct	Sparsity_Trait

class	Sporadic

struct	SpyInteger

class	Stack
	Stack. More...

struct	StaticElement
	Static Element. More...

struct	StructFormat

struct	SubOp

class	SysTimer
	Sys timer. More...

class	Timer
	Timer. More...

class	TruncDom

struct	TypeString

class	Undefined

class	UnparametricOperations

class	UnparametricZRing
	Generic Class ZRing. More...

class	UserTimer
	User timer. More...

class	VectorDom

class	ZRing

Typedefs
typedef Modular< uint32_t >	Field1

typedef StaticElement< Field1 >	Element1

typedef GFqDom< int64_t >	Field2

typedef StaticElement< Field2 >	Element2

typedef Montgomery< int32_t >	Field3

typedef StaticElement< Field3 >	Element3

typedef Modular< Integer >	Field4

typedef StaticElement< Field4 >	Element4

typedef Modular< int32_t >	Field5

typedef StaticElement< Field5 >	Element5

typedef Modular< int16_t >	Field6

typedef StaticElement< Field6 >	Element6

typedef Modular< Log16 >	Field7

typedef StaticElement< Field7 >	Element7

typedef GFqDom< int64_t >	Field

typedef StaticElement< Field >	Element

template<class Size_store = int64_t>
using	GFq = GFqDom<Size_store>

typedef ZRing< Integer >	IntegerDom

using	IntegerDomain = ZRing<Integer>

using	FloatDomain = ZRing<float>

using	DoubleDomain = ZRing<double>

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

template<typename T, typename A = std::allocator<T>>
using	givvector = std::vector <T,A>
	givvector

Functions
Integer &	Fibonacci (Integer &r, Integer &t, const uint64_t n)

Integer &	Fibonacci (Integer &t, const uint64_t n)

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

template<class T1, class T2>
std::ostream &	operator<< (std::ostream &o, const Pair< T1, T2 > &p)
	IO.

template<class T1, class T2>
std::istream &	operator>> (std::istream &fin, Pair< T1, T2 > &p)
	IO.

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>
int64_t	Exponent_Trait (const Field &F)
	XXX.

template<>
int64_t	Exponent_Trait (const GFqDom< int64_t > &F)
	XXX.

template<typename BaseField>
int64_t	Exponent_Trait (const Extension< BaseField > &F)
	XXX.

Integer &	inv (Integer &u, const Integer &a, const Integer &b)
	Modular inverse.

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 int64_t l)

Integer &	pow (Integer &Res, const uint64_t n, const uint64_t l)

Integer &	pow (Integer &Res, const Integer &n, const uint64_t l)

Integer &	pow (Integer &Res, const Integer &n, const int32_t l)

Integer &	pow (Integer &Res, const Integer &n, const uint32_t l)

Integer	pow (const Integer &n, const int64_t l)

Integer	pow (const Integer &n, const uint64_t l)

Integer	pow (const Integer &n, const int32_t l)

Integer	pow (const Integer &n, const uint32_t l)

Integer &	powmod (Integer &Res, const Integer &n, const uint64_t e, const Integer &m)

Integer &	powmod (Integer &Res, const Integer &n, const int64_t e, const Integer &m)

Integer &	powmod (Integer &Res, const Integer &n, const uint32_t e, const Integer &m)

Integer &	powmod (Integer &Res, const Integer &n, const int32_t e, const Integer &m)

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

Integer	powmod (const Integer &n, const uint64_t e, const Integer &m)

Integer	powmod (const Integer &n, const int64_t e, const Integer &m)

Integer	powmod (const Integer &n, const uint32_t e, const Integer &m)

Integer	powmod (const Integer &n, const int32_t e, const Integer &m)

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

int32_t	sign (const Integer &a)

int32_t	compare (const Integer &a, const Integer &b)

int32_t	absCompare (const Integer &a, const Integer &b)

int32_t	absCompare (const Integer &a, const double b)

int32_t	absCompare (const Integer &a, const float b)

int32_t	absCompare (const Integer &a, const uint64_t b)

int32_t	absCompare (const Integer &a, const unsigned b)

int32_t	absCompare (const Integer &a, const int64_t b)

int32_t	absCompare (const Integer &a, const int32_t b)

template<class T>
int32_t	absCompare (const T a, const Integer &b)

int32_t	isZero (const Integer &a)

int32_t	nonZero (const Integer &a)

int32_t	isOne (const Integer &a)

int32_t	isMOne (const Integer &a)

Integer	fact (uint64_t 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 &a, uint32_t n)

int64_t	logp (const Integer &a, const Integer &p)

double	logtwo (const Integer &a)

double	naturallog (const Integer &a)

void	swap (Integer &a, Integer &b)

int32_t	isperfectpower (const Integer &n)

Integer	abs (const Integer &n)

int32_t	jacobi (const Integer &u, const Integer &v)

int32_t	legendre (const Integer &u, const Integer &v)

bool	isOdd (const Integer &a)
	Tests parity of an integer.

uint64_t	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)

template<size_t K>
Integer &	Caster (Integer &t, const RecInt::ruint< K > &n)

template<size_t K>
Integer &	Caster (Integer &t, const RecInt::rint< K > &n)

template<size_t K>
RecInt::ruint< K > &	Caster (RecInt::ruint< K > &t, const Integer &n)

template<size_t K>
RecInt::rint< K > &	Caster (RecInt::rint< K > &t, const Integer &n)

Integer	operator+ (const int32_t l, const Integer &n)

Integer	operator+ (const uint32_t l, const Integer &n)

Integer	operator+ (const int64_t l, const Integer &n)

Integer	operator+ (const uint64_t l, const Integer &n)

int32_t	absCompare (const Integer &a, const uint32_t b)

int32_t	operator!= (double l, const Integer &n)

int32_t	operator!= (float l, const Integer &n)

int32_t	operator!= (int32_t l, const Integer &n)

int32_t	operator!= (int64_t l, const Integer &n)

int32_t	operator!= (uint64_t l, const Integer &n)

int32_t	operator!= (uint32_t l, const Integer &n)

int32_t	operator== (double l, const Integer &n)

int32_t	operator== (float l, const Integer &n)

int32_t	operator== (int32_t l, const Integer &n)

int32_t	operator== (int64_t l, const Integer &n)

int32_t	operator== (uint64_t l, const Integer &n)

int32_t	operator== (uint32_t l, const Integer &n)

int32_t	operator> (double l, const Integer &n)

int32_t	operator> (float l, const Integer &n)

int32_t	operator> (int32_t l, const Integer &n)

int32_t	operator> (int64_t l, const Integer &n)

int32_t	operator> (uint64_t l, const Integer &n)

int32_t	operator> (uint32_t l, const Integer &n)

int32_t	operator< (double l, const Integer &n)

int32_t	operator< (float l, const Integer &n)

int32_t	operator< (int32_t l, const Integer &n)

int32_t	operator< (int64_t l, const Integer &n)

int32_t	operator< (uint64_t l, const Integer &n)

int32_t	operator< (uint32_t l, const Integer &n)

int32_t	operator>= (double l, const Integer &n)

int32_t	operator>= (float l, const Integer &n)

int32_t	operator>= (int32_t l, const Integer &n)

int32_t	operator>= (int64_t l, const Integer &n)

int32_t	operator>= (uint64_t l, const Integer &n)

int32_t	operator>= (uint32_t l, const Integer &n)

int32_t	operator<= (double l, const Integer &n)

int32_t	operator<= (float l, const Integer &n)

int32_t	operator<= (int32_t l, const Integer &n)

int32_t	operator<= (int64_t l, const Integer &n)

int32_t	operator<= (uint64_t l, const Integer &n)

int32_t	operator<= (uint32_t l, const Integer &n)

int32_t	isZero (const int16_t a)

int32_t	isZero (const int32_t a)

int32_t	isZero (const int64_t a)

int32_t	isZero (const uint16_t a)

int32_t	isZero (const uint32_t a)

int32_t	isZero (const uint64_t a)

Integer	operator/ (const int32_t l, const Integer &n)

Integer	operator/ (const int64_t l, const Integer &n)

Integer	operator/ (const uint32_t l, const Integer &n)

Integer	operator/ (const uint64_t l, const Integer &n)

int32_t	kronecker (const Integer &u, const Integer &v)

Integer	operator% (const int32_t l, const Integer &n)

Integer	operator% (const int64_t l, const Integer &n)

Integer	operator% (const uint32_t l, const Integer &n)

Integer	operator% (const uint64_t l, const Integer &n)

Integer	operator* (const int32_t l, const Integer &n)

Integer	operator* (const uint32_t l, const Integer &n)

Integer	operator* (const int64_t l, const Integer &n)

Integer	operator* (const uint64_t l, const Integer &n)

Integer	operator- (const int32_t l, const Integer &n)

Integer	operator- (const uint32_t l, const Integer &n)

Integer	operator- (const int64_t l, const Integer &n)

Integer	operator- (const uint64_t l, const Integer &n)

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 int64_t 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, uint l)

const Rational	pow (const Rational &n, uint64_t l)

uint64_t	length (const Rational &r)

int	sign (const Rational &r)

int	isZero (const Rational &r)

int	isOne (const Rational &r)

int	isMOne (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 Storage_t>
Storage_t &	gcdext (Storage_t &d, Storage_t &u, Storage_t &v, const Storage_t a, const Storage_t b)
	Generalized extended GCD used by specialized Modular.

template<typename Storage_t>
std::enable_if< std::is_floating_point< Storage_t >::value, Storage_t & >::type	extended_euclid (Storage_t &x, Storage_t &d, const Storage_t a, const Storage_t b)
	Extended Euclidean algorithm computing only the Bezout coefficient for a.

template<typename Storage_t>
std::enable_if<!std::is_floating_point< Storage_t >::value, Storage_t & >::type	extended_euclid (Storage_t &x, Storage_t &d, const Storage_t a, const Storage_t b)

template<typename Storage_t>
Storage_t &	invext (Storage_t &x, Storage_t &d, const Storage_t a, const Storage_t b)
	Generalized inversion used by specialized Modular.

template<typename Storage_t>
Storage_t &	invext (Storage_t &x, const Storage_t a, const Storage_t b)

template<typename Storage_t>
Storage_t	invext (const Storage_t a, const Storage_t b)

template<typename E, typename R, typename std::enable_if< IS_SINT(E), int >::type = 0>
E &	_reduce (E &x, const E &y, const R &p)

template<typename E, typename R, typename std::enable_if< IS_SINT(E), int >::type = 0>
E &	_reduce (E &x, const R &p)

template<typename TElem, typename RElem, typename std::enable_if<!(IS_SINT(TElem)), int >::type = 0>
TElem &	GenericAdd (TElem &r, const TElem &a, const TElem &b, const RElem &_p)

template<typename TElem, typename RElem, typename std::enable_if<!(IS_SINT(TElem)), int >::type = 0>
TElem &	GenericAddIN (TElem &r, const TElem &a, const RElem &_p)

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>
E &	_mul (E &r, const E &a, const E &b, const E &p)

template<typename E, typename C>
E &	_mulin (E &r, const E &a, const E &p, const C &pc)

template<typename E>
E &	_mulin (E &r, const E &a, const E &p, const E &pc)

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>
E &	_axpy (E &r, const E &a, const E &b, const E &c, const E &p)

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>
E &	_axpyin (E &r, const E &a, const E &b, const E &p)

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>
E &	_maxpyin (E &r, const E &a, const E &b, const E &p)

template<typename _Element>
_Element &	Moderin (_Element &t, const _Element &s)

template<typename _Element>
_Element	Moder (const _Element &t, const _Element &s)

template<>
float	Moder (const float &t, const float &s)

template<>
float &	Moderin (float &t, const float &s)

template<>
double	Moder (const double &t, const double &s)

template<>
double &	Moderin (double &t, const double &s)

template<typename Target, typename Source>
Target &	Caster (Target &t, const Source &s)

template<typename Target, typename Source>
Target	Caster (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, uint64_t 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.

int64_t	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

◆ Field1

typedef Modular<uint32_t> Field1

◆ Element1

typedef StaticElement< Field1 > Element1

◆ Field2

typedef GFqDom<int64_t> Field2

◆ Element2

typedef StaticElement< Field2 > Element2

◆ Field3

typedef Montgomery<int32_t> Field3

◆ Element3

typedef StaticElement< Field3 > Element3

◆ Field4

typedef Modular<Integer> Field4

◆ Element4

typedef StaticElement< Field4 > Element4

◆ Field5

typedef Modular<int32_t> Field5

◆ Element5

typedef StaticElement< Field5 > Element5

◆ Field6

typedef Modular<int16_t> Field6

◆ Element6

typedef StaticElement< Field6 > Element6

◆ Field7

typedef Modular<Log16> Field7

◆ Element7

typedef StaticElement< Field7 > Element7

◆ Field

typedef GFqDom<int64_t> Field

◆ Element

typedef StaticElement< Field > Element

◆ GFq

template<class Size_store = int64_t>

using GFq = GFqDom<Size_store>

◆ IntegerDom

typedef ZRing<Integer> IntegerDom

◆ IntegerDomain

using IntegerDomain = ZRing<Integer>

◆ FloatDomain

using FloatDomain = ZRing<float>

◆ DoubleDomain

using DoubleDomain = ZRing<double>

◆ CharDom

typedef BaseDomain<char> CharDom

char dom

◆ ShortDom

typedef BaseDomain<short> ShortDom

short dom

◆ IntDom

typedef BaseDomain<int> IntDom

int dom

◆ LongDom

typedef BaseDomain<long> LongDom

long dom

◆ FloatDom

typedef BaseDomain<float> FloatDom

float dom

◆ DoubleDom

typedef BaseDomain<double> DoubleDom

double dom

◆ givvector

template<typename T, typename A = std::allocator<T>>

using givvector = std::vector <T,A>

givvector

Function Documentation

◆ Fibonacci() [1/2]

Integer & Fibonacci	(	Integer &	r,
		Integer &	t,
		const uint64_t	n )

Examples: examples/Integer/Fibonacci.C.

◆ Fibonacci() [2/2]

Integer & Fibonacci	(	Integer &	t,
		const uint64_t	n )

◆ operator<<() [1/10]

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

inline

◆ operator<<() [2/10]

template<class T1, class T2>

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

IO.

◆ operator>>() [1/5]

template<class T1, class T2>

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

IO.

◆ FF_EXPONENT_MAX()

template<class Rt>

Rt FF_EXPONENT_MAX	(	const Rt	p,
		const Rt	maxe = 21 )

XXX.

◆ FF_SUBEXPONENT_MAX()

template<class Rt>

Rt FF_SUBEXPONENT_MAX	(	const Rt	p,
		const Rt	e )

XXX.

◆ Exponent_Trait() [1/3]

template<typename Field>

int64_t Exponent_Trait ( const Field & F )

XXX.

◆ Exponent_Trait() [2/3]

template<>

int64_t Exponent_Trait ( const GFqDom< int64_t > & F )

inline

XXX.

◆ Exponent_Trait() [3/3]

template<typename BaseField>

int64_t Exponent_Trait ( const Extension< BaseField > & F )

XXX.

◆ inv()

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

Modular inverse.

Inverse.

Parameters

	a
	b
[out]	u	is set to \(a^{-1}\) modulo b

◆ invin()

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

Parameters

u
b

◆ gcd() [1/4]

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

Parameters

a,b integers

Returns: gcd(a,b)

◆ gcd() [2/4]

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

◆ gcd() [3/4]

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

◆ gcd() [4/4]

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

◆ pp()

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

Parameters

P,Q params

◆ lcm() [1/2]

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

Parameters

g,a,b

Returns: g=lcm(a,b)

◆ lcm() [2/2]

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

Parameters

a,b

◆ pow() [1/12]

Integer & pow	(	Integer &	Res,
		const Integer &	n,
		const int64_t	l )

return \(n^l\)

Parameters

Res,n,l

◆ pow() [2/12]

Integer & pow	(	Integer &	Res,
		const uint64_t	n,
		const uint64_t	l )

◆ pow() [3/12]

Integer & pow	(	Integer &	Res,
		const Integer &	n,
		const uint64_t	l )

◆ pow() [4/12]

Integer & pow	(	Integer &	Res,
		const Integer &	n,
		const int32_t	l )

◆ pow() [5/12]

Integer & pow	(	Integer &	Res,
		const Integer &	n,
		const uint32_t	l )

◆ pow() [6/12]

Integer pow	(	const Integer &	n,
		const int64_t	l )

return \(n^l\)

Parameters

n,l

◆ pow() [7/12]

Integer pow	(	const Integer &	n,
		const uint64_t	l )

◆ pow() [8/12]

Integer pow	(	const Integer &	n,
		const int32_t	l )

◆ pow() [9/12]

Integer pow	(	const Integer &	n,
		const uint32_t	l )

◆ powmod() [1/10]

Integer & powmod	(	Integer &	Res,
		const Integer &	n,
		const uint64_t	e,
		const Integer &	m )

◆ powmod() [2/10]

Integer & powmod	(	Integer &	Res,
		const Integer &	n,
		const int64_t	e,
		const Integer &	m )

◆ powmod() [3/10]

Integer & powmod	(	Integer &	Res,
		const Integer &	n,
		const uint32_t	e,
		const Integer &	m )

◆ powmod() [4/10]

Integer & powmod	(	Integer &	Res,
		const Integer &	n,
		const int32_t	e,
		const Integer &	m )

◆ powmod() [5/10]

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

◆ powmod() [6/10]

Integer powmod	(	const Integer &	n,
		const uint64_t	e,
		const Integer &	m )

return \(n^e \mod m\).

Parameters

n,e,m

◆ powmod() [7/10]

Integer powmod	(	const Integer &	n,
		const int64_t	e,
		const Integer &	m )

◆ powmod() [8/10]

Integer powmod	(	const Integer &	n,
		const uint32_t	e,
		const Integer &	m )

◆ powmod() [9/10]

Integer powmod	(	const Integer &	n,
		const int32_t	e,
		const Integer &	m )

◆ powmod() [10/10]

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

◆ sign() [1/2]

int32_t sign ( const Integer & a )

Parameters

a

◆ compare() [1/2]

int32_t compare	(	const Integer &	a,
		const Integer &	b )

Parameters

a	integer
b	integer

Returns: 1 if \(a > b\), 0 if \(a = b\) and -1 otherwise.

◆ absCompare() [1/10]

int32_t absCompare	(	const Integer &	a,
		const Integer &	b )

Parameters

a	integer
b	integer

Returns: 1 if \(|a| > |b|\), 0 if \(|a| = |b|\) and -1 otherwise.

◆ absCompare() [2/10]

int32_t absCompare	(	const Integer &	a,
		const double	b )

◆ absCompare() [3/10]

int32_t absCompare	(	const Integer &	a,
		const float	b )

◆ absCompare() [4/10]

int32_t absCompare	(	const Integer &	a,
		const uint64_t	b )

◆ absCompare() [5/10]

int32_t absCompare	(	const Integer &	a,
		const unsigned	b )

◆ absCompare() [6/10]

int32_t absCompare	(	const Integer &	a,
		const int64_t	b )

◆ absCompare() [7/10]

int32_t absCompare	(	const Integer &	a,
		const int32_t	b )

◆ absCompare() [8/10]

template<class T>

int32_t absCompare	(	const T	a,
		const Integer &	b )

◆ isZero() [1/8]

int32_t isZero ( const Integer & a )

Parameters

a

◆ nonZero()

int32_t nonZero ( const Integer & a )

Parameters

a

◆ isOne() [1/2]

int32_t isOne ( const Integer & a )

Parameters

a

◆ isMOne() [1/2]

int32_t isMOne ( const Integer & a )

◆ fact()

Integer fact ( uint64_t l )

Parameters

l

◆ sqrt() [1/2]

Integer sqrt ( const Integer & p )

Parameters

p

◆ sqrtrem() [1/2]

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

Parameters

p,rem

◆ sqrt() [2/2]

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

Parameters

r,p

◆ sqrtrem() [2/2]

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

Parameters

r,p,rem

◆ root()

bool root	(	Integer &	q,
		const Integer &	a,
		uint32_t	n )

Parameters

q,a,n

◆ logp()

int64_t logp	(	const Integer &	a,
		const Integer &	p )

Parameters

a,p

◆ logtwo()

double logtwo ( const Integer & a )

Parameters

a

◆ naturallog()

double naturallog ( const Integer & a )

Parameters

a

◆ swap()

void swap	(	Integer &	a,
		Integer &	b )

swap

Parameters

a,b

◆ isperfectpower()

int32_t isperfectpower ( const Integer & n )

◆ abs() [1/2]

Integer abs ( const Integer & n )

◆ jacobi()

int32_t jacobi	(	const Integer &	u,
		const Integer &	v )

◆ legendre()

int32_t legendre	(	const Integer &	u,
		const Integer &	v )

◆ isOdd()

bool isOdd ( const Integer & a )

Tests parity of an integer.

parity of an integer

Parameters

a integer

Returns: 1 if odd, 0 if even

◆ length() [1/2]

uint64_t length ( const Integer & a )

Parameters

a

Bug: JGD 23.04.2012: shouldn't it be "mp_limb_t" instead of "uint64_t"?

◆ operator>>() [2/5]

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

in operator.

Parameters

i	input stream
n	integer to be built

◆ operator<<() [3/10]

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

Parameters

o	output stream
n	integer to be printed

◆ absOutput()

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

Parameters

o	output
n	integer

◆ Caster() [1/6]

template<size_t K>

Integer & Caster	(	Integer &	t,
		const RecInt::ruint< K > &	n )

◆ Caster() [2/6]

template<size_t K>

Integer & Caster	(	Integer &	t,
		const RecInt::rint< K > &	n )

◆ Caster() [3/6]

template<size_t K>

RecInt::ruint< K > & Caster	(	RecInt::ruint< K > &	t,
		const Integer &	n )

◆ Caster() [4/6]

template<size_t K>

RecInt::rint< K > & Caster	(	RecInt::rint< K > &	t,
		const Integer &	n )

◆ operator+() [1/6]

Integer operator+	(	const int32_t	l,
		const Integer &	n )

Parameters

l,n	to be added

◆ operator+() [2/6]

Integer operator+	(	const uint32_t	l,
		const Integer &	n )

◆ operator+() [3/6]

Integer operator+	(	const int64_t	l,
		const Integer &	n )

◆ operator+() [4/6]

Integer operator+	(	const uint64_t	l,
		const Integer &	n )

◆ absCompare() [9/10]

int32_t absCompare	(	const Integer &	a,
		const uint32_t	b )

◆ operator!=() [1/8]

int32_t operator!=	(	double	l,
		const Integer &	n )

◆ operator!=() [2/8]

int32_t operator!=	(	float	l,
		const Integer &	n )

◆ operator!=() [3/8]

int32_t operator!=	(	int32_t	l,
		const Integer &	n )

◆ operator!=() [4/8]

int32_t operator!=	(	int64_t	l,
		const Integer &	n )

◆ operator!=() [5/8]

int32_t operator!=	(	uint64_t	l,
		const Integer &	n )

◆ operator!=() [6/8]

int32_t operator!=	(	uint32_t	l,
		const Integer &	n )

Parameters

l,n integer

Returns: 1 iff l == n

◆ operator==() [1/8]

int32_t operator==	(	double	l,
		const Integer &	n )

◆ operator==() [2/8]

int32_t operator==	(	float	l,
		const Integer &	n )

◆ operator==() [3/8]

int32_t operator==	(	int32_t	l,
		const Integer &	n )

◆ operator==() [4/8]

int32_t operator==	(	int64_t	l,
		const Integer &	n )

◆ operator==() [5/8]

int32_t operator==	(	uint64_t	l,
		const Integer &	n )

◆ operator==() [6/8]

int32_t operator==	(	uint32_t	l,
		const Integer &	n )

Parameters

l,n	integers to compare

◆ operator>() [1/8]

int32_t operator>	(	double	l,
		const Integer &	n )

◆ operator>() [2/8]

int32_t operator>	(	float	l,
		const Integer &	n )

◆ operator>() [3/8]

int32_t operator>	(	int32_t	l,
		const Integer &	n )

◆ operator>() [4/8]

int32_t operator>	(	int64_t	l,
		const Integer &	n )

◆ operator>() [5/8]

int32_t operator>	(	uint64_t	l,
		const Integer &	n )

◆ operator>() [6/8]

int32_t operator>	(	uint32_t	l,
		const Integer &	n )

Parameters

l,n	integers to compare

◆ operator<() [1/8]

int32_t operator<	(	double	l,
		const Integer &	n )

◆ operator<() [2/8]

int32_t operator<	(	float	l,
		const Integer &	n )

◆ operator<() [3/8]

int32_t operator<	(	int32_t	l,
		const Integer &	n )

◆ operator<() [4/8]

int32_t operator<	(	int64_t	l,
		const Integer &	n )

◆ operator<() [5/8]

int32_t operator<	(	uint64_t	l,
		const Integer &	n )

◆ operator<() [6/8]

int32_t operator<	(	uint32_t	l,
		const Integer &	n )

Parameters

l,n	integers to compare

◆ operator>=() [1/8]

int32_t operator>=	(	double	l,
		const Integer &	n )

◆ operator>=() [2/8]

int32_t operator>=	(	float	l,
		const Integer &	n )

◆ operator>=() [3/8]

int32_t operator>=	(	int32_t	l,
		const Integer &	n )

◆ operator>=() [4/8]

int32_t operator>=	(	int64_t	l,
		const Integer &	n )

◆ operator>=() [5/8]

int32_t operator>=	(	uint64_t	l,
		const Integer &	n )

◆ operator>=() [6/8]

int32_t operator>=	(	uint32_t	l,
		const Integer &	n )

Parameters

l,n	integers to compare

◆ operator<=() [1/8]

int32_t operator<=	(	double	l,
		const Integer &	n )

◆ operator<=() [2/8]

int32_t operator<=	(	float	l,
		const Integer &	n )

◆ operator<=() [3/8]

int32_t operator<=	(	int32_t	l,
		const Integer &	n )

◆ operator<=() [4/8]

int32_t operator<=	(	int64_t	l,
		const Integer &	n )

◆ operator<=() [5/8]

int32_t operator<=	(	uint64_t	l,
		const Integer &	n )

◆ operator<=() [6/8]

int32_t operator<=	(	uint32_t	l,
		const Integer &	n )

Parameters

l,n	integers to compare

◆ isZero() [2/8]

int32_t isZero ( const int16_t a )

◆ isZero() [3/8]

int32_t isZero ( const int32_t a )

◆ isZero() [4/8]

int32_t isZero ( const int64_t a )

◆ isZero() [5/8]

int32_t isZero ( const uint16_t a )

◆ isZero() [6/8]

int32_t isZero ( const uint32_t a )

◆ isZero() [7/8]

int32_t isZero ( const uint64_t a )

◆ operator/() [1/6]

Integer operator/	(	const int32_t	l,
		const Integer &	n )

◆ operator/() [2/6]

Integer operator/	(	const int64_t	l,
		const Integer &	n )

◆ operator/() [3/6]

Integer operator/	(	const uint32_t	l,
		const Integer &	n )

◆ operator/() [4/6]

Integer operator/	(	const uint64_t	l,
		const Integer &	n )

◆ kronecker()

int32_t kronecker	(	const Integer &	u,
		const Integer &	v )

◆ operator%() [1/4]

Integer operator%	(	const int32_t	l,
		const Integer &	n )

◆ operator%() [2/4]

Integer operator%	(	const int64_t	l,
		const Integer &	n )

Parameters

l
n

Returns: nl

◆ operator%() [3/4]

Integer operator%	(	const uint32_t	l,
		const Integer &	n )

◆ operator%() [4/4]

Integer operator%	(	const uint64_t	l,
		const Integer &	n )

◆ operator*() [1/7]

Integer operator*	(	const int32_t	l,
		const Integer &	n )

Parameters

l,n	to be multpct

◆ operator*() [2/7]

Integer operator*	(	const uint32_t	l,
		const Integer &	n )

◆ operator*() [3/7]

Integer operator*	(	const int64_t	l,
		const Integer &	n )

◆ operator*() [4/7]

Integer operator*	(	const uint64_t	l,
		const Integer &	n )

◆ operator-() [1/6]

Integer operator-	(	const int32_t	l,
		const Integer &	n )

Parameters

l,n	to be substracted

◆ operator-() [2/6]

Integer operator-	(	const uint32_t	l,
		const Integer &	n )

◆ operator-() [3/6]

Integer operator-	(	const int64_t	l,
		const Integer &	n )

◆ operator-() [4/6]

Integer operator-	(	const uint64_t	l,
		const Integer &	n )

◆ Add_Curve()

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

inline

◆ one_Mul_Curve()

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 )

inline

◆ one_Mul_Curve2()

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 )

inline

◆ Mul_Curve()

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

inline

◆ ppin()

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

inline

◆ operator<<() [4/10]

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

inline

IO.

◆ compare() [2/2]

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

◆ absCompare() [10/10]

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

◆ power() [1/2]

template double power	(	double	x,
		unsigned int	p )

◆ operator>>() [3/5]

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

◆ pow() [10/12]

const Rational pow	(	const Rational &	r,
		const int64_t	l )

◆ floor()

const Integer floor ( const Rational & r )

◆ ceil()

const Integer ceil ( const Rational & r )

◆ round()

const Integer round ( const Rational & r )

◆ trunc()

const Integer trunc ( const Rational & r )

◆ abs() [2/2]

const Rational abs ( const Rational & r )

inline

◆ pow() [11/12]

const Rational pow	(	const Rational &	n,
		uint	l )

◆ pow() [12/12]

const Rational pow	(	const Rational &	n,
		uint64_t	l )

◆ length() [2/2]

uint64_t length ( const Rational & r )

inline

◆ sign() [2/2]

int sign ( const Rational & r )

inline

◆ isZero() [8/8]

int isZero ( const Rational & r )

inline

◆ isOne() [2/2]

int isOne ( const Rational & r )

inline

◆ isMOne() [2/2]

int isMOne ( const Rational & r )

inline

◆ isInteger()

int isInteger ( const Rational & r )

inline

◆ operator!=() [7/8]

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

inline

◆ operator==() [7/8]

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

inline

◆ operator<() [7/8]

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

inline

◆ operator>() [7/8]

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

inline

◆ operator<=() [7/8]

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

inline

◆ operator>=() [7/8]

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

inline

◆ operator+() [5/6]

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

inline

◆ operator-() [5/6]

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

inline

◆ operator*() [5/7]

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

inline

◆ operator/() [5/6]

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

inline

◆ operator+() [6/6]

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

inline

◆ operator-() [6/6]

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

inline

◆ operator*() [6/7]

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

inline

◆ operator/() [6/6]

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

inline

◆ operator<<() [5/10]

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

inline

◆ gcdext()

template<typename Storage_t>

Storage_t & gcdext	(	Storage_t &	d,
		Storage_t &	u,
		Storage_t &	v,
		const Storage_t	a,
		const Storage_t	b )

inline

Generalized extended GCD used by specialized Modular.

◆ extended_euclid() [1/2]

template<typename Storage_t>

std::enable_if< std::is_floating_point< Storage_t >::value, Storage_t & >::type extended_euclid	(	Storage_t &	x,
		Storage_t &	d,
		const Storage_t	a,
		const Storage_t	b )

inline

Extended Euclidean algorithm computing only the Bezout coefficient for a.

◆ extended_euclid() [2/2]

template<typename Storage_t>

std::enable_if<!std::is_floating_point< Storage_t >::value, Storage_t & >::type extended_euclid	(	Storage_t &	x,
		Storage_t &	d,
		const Storage_t	a,
		const Storage_t	b )

inline

◆ invext() [1/3]

template<typename Storage_t>

Storage_t & invext	(	Storage_t &	x,
		Storage_t &	d,
		const Storage_t	a,
		const Storage_t	b )

inline

Generalized inversion used by specialized Modular.

◆ invext() [2/3]

template<typename Storage_t>

Storage_t & invext	(	Storage_t &	x,
		const Storage_t	a,
		const Storage_t	b )

inline

◆ invext() [3/3]

template<typename Storage_t>

Storage_t invext	(	const Storage_t	a,
		const Storage_t	b )

inline

◆ _reduce() [1/2]

template<typename E, typename R, typename std::enable_if< IS_SINT(E), int >::type = 0>

E & _reduce	(	E &	x,
		const E &	y,
		const R &	p )

inline

◆ _reduce() [2/2]

template<typename E, typename R, typename std::enable_if< IS_SINT(E), int >::type = 0>

E & _reduce	(	E &	x,
		const R &	p )

inline

◆ GenericAdd()

template<typename TElem, typename RElem, typename std::enable_if<!(IS_SINT(TElem)), int >::type = 0>

TElem & GenericAdd	(	TElem &	r,
		const TElem &	a,
		const TElem &	b,
		const RElem &	_p )

inline

◆ GenericAddIN()

template<typename TElem, typename RElem, typename std::enable_if<!(IS_SINT(TElem)), int >::type = 0>

TElem & GenericAddIN	(	TElem &	r,
		const TElem &	a,
		const RElem &	_p )

inline

◆ _mul()

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>

E & _mul	(	E &	r,
		const E &	a,
		const E &	b,
		const E &	p )

◆ _mulin() [1/2]

template<typename E, typename C>

E & _mulin	(	E &	r,
		const E &	a,
		const E &	p,
		const C &	pc )

◆ _mulin() [2/2]

template<typename E>

E & _mulin	(	E &	r,
		const E &	a,
		const E &	p,
		const E &	pc )

◆ _axpy()

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>

E & _axpy	(	E &	r,
		const E &	a,
		const E &	b,
		const E &	c,
		const E &	p )

inline

◆ _axpyin()

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>

E & _axpyin	(	E &	r,
		const E &	a,
		const E &	b,
		const E &	p )

inline

◆ _maxpyin()

template<typename E, typename C, typename std::enable_if<!std::is_same< E, C >::value, int >::type = 0>

E & _maxpyin	(	E &	r,
		const E &	a,
		const E &	b,
		const E &	p )

◆ Moderin() [1/3]

template<typename _Element>

_Element & Moderin	(	_Element &	t,
		const _Element &	s )

inline

◆ Moder() [1/3]

template<typename _Element>

_Element Moder	(	const _Element &	t,
		const _Element &	s )

inline

◆ Moder() [2/3]

template<>

float Moder	(	const float &	t,
		const float &	s )

inline

◆ Moderin() [2/3]

template<>

float & Moderin	(	float &	t,
		const float &	s )

inline

◆ Moder() [3/3]

template<>

double Moder	(	const double &	t,
		const double &	s )

inline

◆ Moderin() [3/3]

template<>

double & Moderin	(	double &	t,
		const double &	s )

inline

◆ Caster() [5/6]

template<typename Target, typename Source>

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

◆ Caster() [6/6]

template<typename Target, typename Source>

Target Caster ( const Source & s )

◆ operator<<() [6/10]

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

◆ GIVINTLOG()

template<typename T>

unsigned GIVINTLOG ( const T & a )

inline

Integer log.

◆ power() [2/2]

template<class TT, class UU>

TT power	(	const TT	n,
		const UU	l )

Powering.

◆ dom_power()

template<class D, class TT>

TT & dom_power	(	TT &	res,
		const TT &	n,
		uint64_t	l,
		const D &	F )

dom_power

◆ operator<<() [7/10]

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

inline

I/O.

◆ operator<<() [8/10]

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

inline

I/O.

◆ value()

int64_t value ( const Degree & d )

inline

value

◆ operator<<() [9/10]

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

◆ operator>>() [4/5]

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

◆ operator==() [8/8]

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

inline

Bug: put elsewere. Inline members functions :

◆ operator!=() [8/8]

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

inline

◆ operator<=() [8/8]

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

inline

◆ operator<() [8/8]

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

inline

◆ operator>=() [8/8]

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

inline

◆ operator>() [8/8]

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

inline

◆ operator*() [7/7]

template<class Domain>

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

◆ dotprod()

template<class Domain>

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

inline

◆ operator<<() [10/10]

template<class Domain>

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

inline

◆ operator>>() [5/5]

template<class Domain>

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

inline

◆ Formatted()

template<class T, class Tag>

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

Namespaces

Data Structures

Typedefs

Functions

Detailed Description

Typedef Documentation

◆ Field1

◆ Element1

◆ Field2

◆ Element2

◆ Field3

◆ Element3

◆ Field4

◆ Element4

◆ Field5

◆ Element5

◆ Field6

◆ Element6

◆ Field7

◆ Element7

◆ Field

◆ Element

◆ GFq

◆ IntegerDom

◆ IntegerDomain

◆ FloatDomain

◆ DoubleDomain

◆ CharDom

◆ ShortDom

◆ IntDom

◆ LongDom

◆ FloatDom

◆ DoubleDom

◆ givvector

Function Documentation

◆ Fibonacci() [1/2]

◆ Fibonacci() [2/2]

◆ operator<<() [1/10]

◆ operator<<() [2/10]

◆ operator>>() [1/5]

◆ FF_EXPONENT_MAX()

◆ FF_SUBEXPONENT_MAX()

◆ Exponent_Trait() [1/3]

◆ Exponent_Trait() [2/3]

◆ Exponent_Trait() [3/3]

◆ inv()

◆ invin()

◆ gcd() [1/4]

◆ gcd() [2/4]

◆ gcd() [3/4]

◆ gcd() [4/4]

◆ pp()

◆ lcm() [1/2]

◆ lcm() [2/2]

◆ pow() [1/12]

◆ pow() [2/12]

◆ pow() [3/12]

◆ pow() [4/12]

◆ pow() [5/12]

◆ pow() [6/12]

◆ pow() [7/12]

◆ pow() [8/12]

◆ pow() [9/12]

◆ powmod() [1/10]

◆ powmod() [2/10]

◆ powmod() [3/10]

◆ powmod() [4/10]

◆ powmod() [5/10]

◆ powmod() [6/10]

◆ powmod() [7/10]

◆ powmod() [8/10]

◆ powmod() [9/10]

◆ powmod() [10/10]

◆ sign() [1/2]

◆ compare() [1/2]

◆ absCompare() [1/10]

◆ absCompare() [2/10]

◆ absCompare() [3/10]

◆ absCompare() [4/10]

◆ absCompare() [5/10]