Inheritance diagram for AbstractRing< T >::MultiplicativeGroupT:

Collaboration diagram for AbstractRing< T >::MultiplicativeGroupT:

Public Member Functions
const AbstractRing< T > &	GetRing () const

bool	Equal (const Element &a, const Element &b) const
	Compare two elements for equality. More...

const Element &	Identity () const
	Provides the Identity element. More...

const Element &	Add (const Element &a, const Element &b) const
	Adds elements in the group. More...

Element &	Accumulate (Element &a, const Element &b) const
	TODO. More...

const Element &	Inverse (const Element &a) const
	Inverts the element in the group. More...

const Element &	Subtract (const Element &a, const Element &b) const
	Subtracts elements in the group. More...

Element &	Reduce (Element &a, const Element &b) const
	Reduces an element in the congruence class. More...

const Element &	Double (const Element &a) const
	Doubles an element in the group. More...

Element	ScalarMultiply (const Element &a, const Integer &e) const
	Performs a scalar multiplication. More...

Element	CascadeScalarMultiply (const Element &x, const Integer &e1, const Element &y, const Integer &e2) const
	TODO. More...

void	SimultaneousMultiply (Element results, const Element &base, const Integer exponents, unsigned int exponentsCount) const
	Multiplies a base to multiple exponents in a group. More...

Public Member Functions inherited from AbstractGroup< T >
virtual	~AbstractGroup ()

virtual bool	InversionIsFast () const
	Determine if inversion is fast. More...

Public Attributes
const AbstractRing< T > *	m_pRing

Additional Inherited Members
Public Types inherited from AbstractGroup< T >
typedef T	Element

Detailed Description

template<class T>
class AbstractRing< T >::MultiplicativeGroupT

Definition at line 198 of file algebra.h.

Member Function Documentation

template<class T>

Element& AbstractRing< T >::MultiplicativeGroupT::Accumulate	(	Element &	a,
		const Element &	b
	)		const

inlinevirtual

TODO.

Parameters

a	first element
b	second element

Returns: TODO

Reimplemented from AbstractGroup< T >.

Definition at line 213 of file algebra.h.

template<class T>

const Element& AbstractRing< T >::MultiplicativeGroupT::Add	(	const Element &	a,
		const Element &	b
	)		const

inlinevirtual

Adds elements in the group.

Parameters

a	first element
b	second element

Returns: the sum of a and b

Implements AbstractGroup< T >.

Definition at line 210 of file algebra.h.

template<class T>

Element AbstractRing< T >::MultiplicativeGroupT::CascadeScalarMultiply	(	const Element &	x,
		const Integer &	e1,
		const Element &	y,
		const Integer &	e2
	)		const

inlinevirtual

TODO.

Parameters

x	first multiplicand
e1	the first multiplier
y	second multiplicand
e2	the second multiplier

Returns: TODO

Reimplemented from AbstractGroup< T >.

Definition at line 231 of file algebra.h.

template<class T>

const Element& AbstractRing< T >::MultiplicativeGroupT::Double ( const Element & a ) const

inlinevirtual

Doubles an element in the group.

Parameters

a	the element

Returns: the element doubled

Reimplemented from AbstractGroup< T >.

Definition at line 225 of file algebra.h.

template<class T>

bool AbstractRing< T >::MultiplicativeGroupT::Equal	(	const Element &	a,
		const Element &	b
	)		const

inlinevirtual

Compare two elements for equality.

Parameters

a	first element
b	second element

Returns: true if the elements are equal, false otherwise

Equal() tests the elements for equality using a==b

Implements AbstractGroup< T >.

Definition at line 204 of file algebra.h.

template<class T>

const AbstractRing<T>& AbstractRing< T >::MultiplicativeGroupT::GetRing ( ) const

inline

Definition at line 201 of file algebra.h.

template<class T>

const Element& AbstractRing< T >::MultiplicativeGroupT::Identity ( ) const

inlinevirtual

Provides the Identity element.

Returns: the Identity element

Implements AbstractGroup< T >.

Definition at line 207 of file algebra.h.

template<class T>

const Element& AbstractRing< T >::MultiplicativeGroupT::Inverse ( const Element & a ) const

inlinevirtual

Inverts the element in the group.

Parameters

a	first element

Returns: the inverse of the element

Implements AbstractGroup< T >.

Definition at line 216 of file algebra.h.

template<class T>

Element& AbstractRing< T >::MultiplicativeGroupT::Reduce	(	Element &	a,
		const Element &	b
	)		const

inlinevirtual

Reduces an element in the congruence class.

Parameters

a	element to reduce
b	the congruence class

Returns: the reduced element

Reimplemented from AbstractGroup< T >.

Definition at line 222 of file algebra.h.

template<class T>

Element AbstractRing< T >::MultiplicativeGroupT::ScalarMultiply	(	const Element &	a,
		const Integer &	e
	)		const

inlinevirtual

Performs a scalar multiplication.

Parameters

a	multiplicand
e	multiplier

Returns: the product

Reimplemented from AbstractGroup< T >.

Definition at line 228 of file algebra.h.

template<class T>

void AbstractRing< T >::MultiplicativeGroupT::SimultaneousMultiply	(	Element *	results,
		const Element &	base,
		const Integer *	exponents,
		unsigned int	exponentsCount
	)		const

inlinevirtual

Multiplies a base to multiple exponents in a group.

Parameters

results	an array of Elements
base	the base to raise to the exponents
exponents	an array of exponents
exponentsCount	the number of exponents in the array

SimultaneousMultiply() multiplies the base to each exponent in the exponents array and stores the result at the respective position in the results array.

SimultaneousMultiply() must be implemented in a derived class.

Precondition: COUNTOF(results) == exponentsCount; COUNTOF(exponents) == exponentsCount

Reimplemented from AbstractGroup< T >.

Definition at line 234 of file algebra.h.

template<class T>

const Element& AbstractRing< T >::MultiplicativeGroupT::Subtract	(	const Element &	a,
		const Element &	b
	)		const

inlinevirtual

Subtracts elements in the group.

Parameters

a	first element
b	second element

Returns: the difference of a and b. The element a must provide a Subtract member function.

Reimplemented from AbstractGroup< T >.

Definition at line 219 of file algebra.h.

Member Data Documentation

template<class T>

const AbstractRing<T>* AbstractRing< T >::MultiplicativeGroupT::m_pRing

Definition at line 237 of file algebra.h.

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

src/cryptopp/algebra.h

Public Member Functions

Public Attributes

Additional Inherited Members

Detailed Description

template<class T> class AbstractRing< T >::MultiplicativeGroupT

Member Function Documentation

Member Data Documentation

template<class T>
class AbstractRing< T >::MultiplicativeGroupT