cgal/Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_Canonica...

38 lines
1.0 KiB
TeX

\begin{ccRefConcept}{PolynomialTraits_d::Canonicalize}
\ccDefinition
This \ccc{AdaptableUnaryFunction} computes a unique representative from the set:
$\{ q | \lambda * q = p with \lambda \in R \}$, where $p$ is the given polynomial and
$R$ the base of the polynomial ring.
In particular, the computed polynomial has the same zero set as the given one.
\footnote{In case \ccc{PolynomialTraits::Innermost_coefficient} is a model of \ccc{Field},
the computed polynomial is {\em monic}. (Innermost leading coefficient is one.)}
\ccRefines
\ccc{AdaptableUnaryFunction}
\ccTypes
\ccSetThreeColumns{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}{xxx}{}
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d result_type;}{}\ccGlue
\ccTypedef{typedef PolynomialTraits_d::Polynomial_d argument_type;}{}
\ccOperations
\ccCreationVariable{canonicalize}
\ccMethod{result_type operator()(first_argument_type f);}{}
%\ccHasModels
\ccSeeAlso
\ccRefIdfierPage{Polynomial_d}\\
\ccRefIdfierPage{PolynomialTraits_d}\\
\end{ccRefConcept}