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

This \ccc{AdaptableFunctor} multiplies a \ccc{PolynomialTraits_d::Polynomial_d} by 
the given power of the specified variable. 

This functor is provided for efficiency reasons, since multiplication by some variable 
will in general correspond to a shift of coefficients in the internal representation. 

\ccRefines 
\ccc{AdaptableFunctor}

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

\ccOperations
\ccMethod{result_type operator()(PolynomialTraits_d::Polynomial_d  p,
                                 int e);}
         { return $p * x_{d-1}^e$
          \ccPrecond $0 \leq e$     }
\ccMethod{result_type operator()(PolynomialTraits_d::Polynomial_d  p,
                                 int e,
                                 int i);}
         { Same as first operator but for variable $x_i$.
          \ccPrecond $0 \leq e$   
          \ccPrecond $0 \leq i < d$
         }

%\ccHasModels

\ccSeeAlso

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

\end{ccRefConcept}