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

This \ccc{AdaptableFunctor} interprets a \ccc{PolynomialTraits_d::Polynomial_d} 
as a homogeneous polynomial with respect to one variable, an provides respective evaluation.  

\ccRefines 
\ccc{AdaptableFunctor}

\ccTypes

\ccSetThreeColumns{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}{xxx}{}
\ccTypedef{typedef PolynomialTraits_d::Coefficient              result_type;}{}\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d             first_argument_type;}{}\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Innermost_coefficient    second_argument_type;}{}\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Innermost_coefficient    third_argument_type;}{}\ccGlue
\ccTypedef{typedef int                                          fourth_argument_type;}{}\ccGlue
\ccTypedef{typedef int                                          fifth_argument_type;}{}

\ccOperations
\ccMethod{result_type operator()(first_argument_type  p,
                                 second_argument_type u,
                                 third_argument_type  v);}
         { return $p(u,v)$, with respect to the outermost variable. \\
           The homogeneous degree is considered as equal to the degree of $p$.  }
\ccMethod{result_type operator()(first_argument_type  p,
                                 second_argument_type u,
                                 third_argument_type  v,
                                 fourth_argument_type h);}
          { return $p(u,v)$, with respect to the outermost variable. \\
            The homogeneous degree is $h$.
            \ccPrecond: $h \geq degree(p)$  }

\ccMethod{result_type operator()(first_argument_type  p,
                                 second_argument_type u,
                                 third_argument_type  v,
                                 fourth_argument_type h,
                                 fifth_argument_type i);}
          { return $p(u,v)$, with respect to the variable $x_i$. \\
            The homogeneous degree is $h$.
            \ccPrecond $h \geq degree_i(p)$
            \ccPrecond $0 < i \leq d$}

%\ccHasModels

\ccSeeAlso

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

\end{ccRefConcept}
