\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - Polynomial

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PolynomialTraits_d::EvaluateHomogeneous Concept 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.