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Basic Polynomial Algebra Subprograms (BPAS)
v. 1.652
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Basic Polynomial Algebra Subprograms (BPAS)
v. 1.652
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An abstract class defining the interface of a polynomial over an arbitrary BPASIntegralDomain. More...
#include <polynomial.h>
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. | |
An abstract class defining the interface of a polynomial over an arbitrary BPASIntegralDomain.
1.8.13