CGAL 5.4 - Polynomial
Polynomial_d Concept Reference

## Definition

A model of Polynomial_d is representing a multivariate polynomial in $$d \geq 1$$ variables over some basic ring $$R$$. This type is denoted as the innermost coefficient. A model of Polynomial_d must be accompanied by a traits class CGAL::Polynomial_traits_d<Polynomial_d>, which is a model of PolynomialTraits_d. Please have a look at the concept PolynomialTraits_d, since nearly all functionality related to polynomials is provided by the traits.

Refines:
IntegralDomainWithoutDivision

The algebraic structure of Polynomial_d depends on the algebraic structure of PolynomialTraits_d::Innermost_coefficient_type:

Innermost_coefficient_type Polynomial_d
IntegralDomainWithoutDivision IntegralDomainWithoutDivision
IntegralDomain IntegralDomain
UniqueFactorizationDomain UniqueFactorizationDomain
EuclideanRing UniqueFactorizationDomain
Field UniqueFactorizationDomain
Note
In case the polynomial is univariate and the innermost coefficient is a Field the polynomial is model of EuclideanRing.
AlgebraicStructureTraits
PolynomialTraits_d
CGAL::Polynomial<Coeff>