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


Given a constant $c$ this \ccc{AdaptableBinaryFunction} scales a 
\ccc{PolynomialTraits_d::Polynomial_d} $p$ with respect to one variable, that is, 
it computes $p(c\cdot x)$.

Note that this functor operates on the polynomial in the univariate view, that is, 
the polynomial is considered as a univariate polynomial in one specific variable. 

\ccRefines 
\ccc{AdaptableBinaryFunction}\\
\ccc{CopyConstructible}\\
\ccc{DefaultConstructible}\\

\ccTypes

\ccSetThreeColumns{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}{xxx}{}
\ccCreationVariable{fo}
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d   result_type;}{}\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d   first_argument_type;}{}
\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Innermost_coefficient_type    second_argument_type;}{}

\ccOperations
\ccMethod{result_type operator()(first_argument_type  p,
                                 second_argument_type c);}
         { Returns $p(c\cdot x)$, with respect to the outermost variable. }
\ccMethod{result_type operator()(first_argument_type  p,
                                 second_argument_type c,
                                 int i);}
         { Same as first operator but for variable $x_i$.
           \ccPrecond $0 \leq i  < d$
         }

%\ccHasModels

\ccSeeAlso

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

\end{ccRefConcept}