\begin{ccRefConcept}{PolynomialTraits_d::EvaluateHomogeneous}
\ccDefinition

This \ccc{AdaptableFunctor} provides evaluation of a 
\ccc{PolynomialTraits_d::Polynomial_d} interpreted as a homogeneous polynomial 
{\bf 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. 

\ccRefines 
\ccc{AdaptableFunctor}

\ccTypes

\ccSetThreeColumns{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}{xxx}{}
\ccCreationVariable{fo}
\ccTypedef{typedef PolynomialTraits_d::Coefficient_type              result_type;}{}

\ccOperations
\ccMethod{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. 
%        \\ The homogeneous degree is considered as equal to the degree of $p$.  
        }

%\ccMethod{result_type operator()( PolynomialTraits_d::Polynomial_d  p,
%                                  PolynomialTraits_d::Coefficient_type   u,
%                                  PolynomialTraits_d::Coefficient_type   v,
%                                  int i);}{ 
%        Returns $p(u,v)$, with respect to the variable $x_i$. 
%        \\ The homogeneous degree is considered as equal to the $degree(p,i)$.
%        \ccPrecond $0 \leq i  < d$
%        }

%\ccHasModels

\ccSeeAlso

\ccRefIdfierPage{Polynomial_d}\\
\ccRefIdfierPage{PolynomialTraits_d}\\

\end{ccRefConcept}
