RingAbstract Class Reference
[linbox/ring]

#include <abstract.h>

Inheritance diagram for RingAbstract:

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Detailed Description

Abstract ring base class.

Found in the file {linbox/ring/abstract.h}. Abstract base class used to implement the ring archetype to minimize code bloat. All public member functions of this class are purely virtual and must be implemented by all derived classes.

If a template is instantiated on the ring archetype, we can change the ring it is using by changing the derived class of this class. This allows us to change the ring used in a template without having to reinstantiate it. This minimizes code bloat, but it also introduces indirection through the use of pointers and virtual functions which is inefficient.

Public Types
typedef FieldAbstract::Element	Element
	element type.
typedef FieldAbstract::RandIter	RandIter
	Random iterator generator type.
Public Member Functions
Object Management
There are no public constructors for this class. It should only be used in tandem with {FieldArchetype}.
virtual	~RingAbstract (void)
virtual bool	isUnit (const Element &x) const =0
virtual bool	isZeroDivisor (const Element &x) const =0

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Member Typedef Documentation

typedef FieldAbstract::Element Element

element type. Reimplemented from FieldAbstract. Reimplemented in RingEnvelope.

typedef FieldAbstract::RandIter RandIter

Random iterator generator type. Reimplemented from FieldAbstract. Reimplemented in RingEnvelope.

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Constructor & Destructor Documentation

virtual ~RingAbstract (  void   )  [inline, virtual]

Destructor. Required because of virtual member functions. Virtual.

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Member Function Documentation

virtual bool isUnit (  const Element &  x  )  const [pure virtual]

Invertibility test. Test if ring element is invertible. This function assumes the ring element has already been constructed and initialized. Purely virtual. Returns: boolean true if invertible, false if not. Parameters: x  ring element.

virtual bool isZeroDivisor (  const Element &  x  )  const [pure virtual]

Divisibility of zero test. Test if ring element is a zero divisor. This function assumes the ring element has already been constructed and initialized. Purely virtual. Returns: boolean true if divides zero, false if not. Parameters: x  ring element.

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