\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.12.1 - Polynomial
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PolynomialTraits_d::EvaluateHomogeneous Concept Reference
Polynomial Reference » Concepts

Definition

This AdaptableFunctor provides evaluation of a PolynomialTraits_d::Polynomial_d interpreted as a homogeneous polynomial in one variable.

For instance the polynomial \( p = 5x^2y^3 + y\) is interpreted as the homogeneous polynomial \( p[x](u,v) = 5x^2u^3 + uv^2\) and evaluated as such.

Refines:

AdaptableFunctor

CopyConstructible

DefaultConstructible

See also
Polynomial_d
PolynomialTraits_d

Types

typedef PolynomialTraits_d::Coefficient_type result_type
 

Operations

result_type operator() (PolynomialTraits_d::Polynomial_d p, PolynomialTraits_d::Coefficient_type u, PolynomialTraits_d::Coefficient_type v)
 Returns \( p(u,v)\), with respect to the outermost variable.