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

This \ccc{AdaptableFunctor} scale a 
\ccc{PolynomialTraits_d::Polynomial_d} with respect to one variable. 

\ccRefines 
\ccc{AdaptableFunctor}

\ccTypes

\ccSetThreeColumns{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}{xxx}{}
\ccCreationVariable{scale_homogeneous}
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d   result_type;}{}

\ccOperations
\ccMethod{result_type operator()(PolynomialTraits_d::Polynomial_d  p,
                                 PolynomialTraits_d::Coefficient   a,
                                 PolynomialTraits_d::Coefficient   b);}
         { return $b^{degree}\cdot p(a\cdot x/b)$, with respect to the outermost variable. }
\ccMethod{result_type operator()(PolynomialTraits_d::Polynomial_d  p,
                                 PolynomialTraits_d::Coefficient   a,
                                 PolynomialTraits_d::Coefficient   b,
                                 int i);}
         { return $b^{degree}\cdot p(a\cdot x/b) $, with respect to variable $x_i$. 
\ccPrecond $0 \leq i  < d$
         }

%\ccHasModels

\ccSeeAlso

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

\end{ccRefConcept}