Basic Polynomial Algebra Subprograms (BPAS)  v. 1.548
Public Member Functions | List of all members
BPASGCDDomain< Derived > Class Template Referenceabstract

An abstract class defining the interface of a GCD domain. More...

#include <BPASGCDDomain.hpp>

Simplified semantic inheritance diagram for BPASGCDDomain< Derived >:
- Full inheritance diagram for BPASGCDDomain< Derived >:
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Public Member Functions

virtual Derived gcd (const Derived &other) const =0
 Get GCD of *this and other.
 
virtual Factors< Derived > squareFree () const =0
 Compute squarefree factorization of *this.
 
- Public Member Functions inherited from BPASIntegralDomain< Derived >
virtual Derived operator/ (const Derived &) const =0
 Exact division.
 
virtual Derived & operator/= (const Derived &)=0
 Exact division assignment.
 
- Public Member Functions inherited from BPASRing< Derived >
virtual mpz_class characteristic ()
 The characteristic of this ring class.
 
virtual bool isZero () const =0
 Determine if *this ring element is zero, that is the additive identity. More...
 
virtual void zero ()=0
 Make *this ring element zero.
 
virtual bool isOne () const =0
 Determine if *this ring element is one, that is the multiplication identity. More...
 
virtual void one ()=0
 Make *this ring element one.
 
virtual Derived unitCanonical (Derived *u=NULL, Derived *v=NULL) const =0
 Obtain the unit normal (a.k.a canonical associate) of an element. More...
 
virtual Derived & operator= (const Derived &)=0
 Copy assignment.
 
virtual Derived operator+ (const Derived &) const =0
 Addition.
 
virtual Derived & operator+= (const Derived &)=0
 Addition assignment.
 
virtual Derived operator- (const Derived &) const =0
 Subtraction.
 
virtual Derived & operator-= (const Derived &)=0
 Subtraction assignment.
 
virtual Derived operator- () const =0
 Negation.
 
virtual Derived operator* (const Derived &) const =0
 Multiplication.
 
virtual Derived & operator*= (const Derived &)=0
 Multiplication assignment.
 
virtual Derived operator^ (long long int e) const =0
 Exponentiation.
 
virtual Derived & operator^= (long long int e)=0
 Exponentiation assignment.
 
virtual bool operator== (const Derived &) const =0
 Equality test,. More...
 
virtual bool operator!= (const Derived &) const =0
 Inequality test,. More...
 
virtual void print (std::ostream &ostream) const
 Print the Ring element. More...
 
- Public Member Functions inherited from ExpressionTreeConvert
virtual ExpressionTree convertToExpressionTree () const =0
 Convert this to an expression tree. More...
 

Additional Inherited Members

- Static Public Attributes inherited from BPASRing< Derived >
static RingProperties properties
 Static element describing the properties of this ring class.
 

Detailed Description

template<class Derived>
class BPASGCDDomain< Derived >

An abstract class defining the interface of a GCD domain.


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