Basic Polynomial Algebra Subprograms (BPAS)  v. 1.652
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BPASIntegralPolynomial< Ring, Derived > Class Template Reference

An abstract class defining the interface of a polynomial over an arbitrary BPASIntegralDomain. More...

#include <polynomial.h>

Inheritance diagram for BPASIntegralPolynomial< Ring, Derived >:
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Additional Inherited Members

- Public Member Functions inherited from BPASBasePolynomial< Ring, Derived >
virtual Derived & operator= (const Ring &)=0
 In addition to the ring arithmetic for Derived defined by BPASRing polynomials must do arithmetic with their base ring.
 
virtual Derived operator+ (const Ring &) const =0
 
virtual Derived & operator+= (const Ring &)=0
 
virtual Derived operator- (const Ring &) const =0
 
virtual Derived operator- () const =0
 Negation.
 
virtual Derived & operator-= (const Ring &)=0
 
virtual Derived operator* (const Ring &) const =0
 
virtual Derived & operator*= (const Ring &)=0
 
virtual Integer degree () const =0
 
virtual Ring leadingCoefficient () const =0
 
virtual Ring trailingCoefficient () const =0
 
virtual bool isConstantTermZero () const =0
 
virtual Integer numberOfTerms () const =0
 
- 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 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...
 
- 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.
 
- Static Public Attributes inherited from BPASRing< Derived >
static RingProperties properties
 Static element describing the properties of this ring class.
 

Detailed Description

template<class Ring, class Derived>
class BPASIntegralPolynomial< Ring, Derived >

An abstract class defining the interface of a polynomial over an arbitrary BPASIntegralDomain.


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