\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}{}
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d   result_type;}{}\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d   first_argument_type;}{}\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Coefficient    second_argument_type;}{}\ccGlue
\ccTypedef{typedef int                                third_argument_type;}{}

\ccOperations
\ccMethod{result_type operator()(first_argument_type  p,
                                 second_argument_type a,
                                 third_argument_type  b));}
         { return $b^{degree}\cdot p(a\cdot x/b)$, with respect to the outermost variable. }
\ccMethod{result_type operator()(first_argument_type  p,
                                 second_argument_type a,
                                 third_argument_type  b,
                                 fourth_argument_type i));}
         { return $b^{degree}\cdot p(a\cdot x/b) $, with respect to variable $x_i$. 
\ccPrecond $0<i \leq d$
         }

%\ccHasModels

\ccSeeAlso

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

\end{ccRefConcept}