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

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

\ccRefines 
\ccc{AdaptableFunctor}

\ccTypes

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

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

%\ccHasModels

\ccSeeAlso

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

\end{ccRefConcept}