mirror of https://github.com/CGAL/cgal
added PT::IsSquareFree and CGAL::is_square_free
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Michael Hemmer
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0c03354117
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@ -3028,6 +3028,7 @@ Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_DegreeVector.tex -text
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Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_GetCoefficient.tex -text
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Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_GetInnermostCoefficient.tex -text
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Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_InnermostLeadingCoefficient.tex -text
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Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_IsSquareFree.tex -text
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Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_IsZeroAt.tex -text
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Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_IsZeroAtHomogeneous.tex -text
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Polynomial/doc_tex/Polynomial_ref/PolynomialTraits_d_MonomialRepresentation.tex -text
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@ -0,0 +1,36 @@
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\begin{ccRefConcept}{PolynomialTraits_d::IsSquareFree}
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\ccDefinition
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This \ccc{AdaptableBinaryFunction} computes whether the given
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a polynomial of type \ccc{PolynomialTraits_d::Polynomial_d}
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is square free.
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Note that this statement does cover constant factors,
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i.e., whether the multivariate content contains a square
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\ccRefines
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\ccc{AdaptableUnaryFunction}
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\ccTypes
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\ccSetThreeColumns{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}{xxx}{}
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\ccCreationVariable{fo}
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\ccTypedef{typedef bool result_type;}{}\ccGlue
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\ccTypedef{typedef PolynomialTraits_d::Polynomial_d argument_type;}{}
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\ccOperations
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\ccMethod{result_type operator()(argument_type p);}
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{ Returns whether the $p$ is square free. }
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%\ccHasModels
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\ccSeeAlso
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\ccRefIdfierPage{Polynomial_d}\\
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\ccRefIdfierPage{PolynomialTraits_d}\\
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\ccRefIdfierPage{PolynomialTraits_d::SquareFreeFactorize}\\
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\ccRefIdfierPage{PolynomialTraits_d::MakeSquareFree}\\
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\ccRefIdfierPage{PolynomialTraits_d::MultivariateContent}\\
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\end{ccRefConcept}
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@ -35,5 +35,7 @@ which is computed by this functor.
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\ccRefIdfierPage{Polynomial_d}\\
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\ccRefIdfierPage{PolynomialTraits_d}\\
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\ccRefIdfierPage{PolynomialTraits_d::Canonicalize}\\
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\ccRefIdfierPage{PolynomialTraits_d::SquareFreeFactorize}\\
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\ccRefIdfierPage{PolynomialTraits_d::IsSquareFree}\\
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\end{ccRefConcept}
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@ -51,5 +51,6 @@ OutputIterator operator()(PolynomialTraits_d::Polynomial_d p,
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\ccRefIdfierPage{PolynomialTraits_d}\\
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\ccRefIdfierPage{PolynomialTraits_d::SquareFreeFactorizeUpToConstantFactor}\\
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\ccRefIdfierPage{PolynomialTraits_d::MakeSquareFree}\\
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\ccRefIdfierPage{PolynomialTraits_d::IsSquareFree}\\
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\end{ccRefConcept}
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@ -59,6 +59,7 @@
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\ccRefConceptPage{PolynomialTraits_d::SquareFreeFactorize}\\
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\ccRefConceptPage{PolynomialTraits_d::MakeSquareFree}\\
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\ccRefConceptPage{PolynomialTraits_d::IsSquareFree}\\
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\ccRefConceptPage{PolynomialTraits_d::PseudoDivision}\\
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\ccRefConceptPage{PolynomialTraits_d::PseudoDivisionQuotient}\\
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@ -49,6 +49,7 @@
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\input{Polynomial_ref/PolynomialTraits_d_SquareFreeFactorize.tex}
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\input{Polynomial_ref/PolynomialTraits_d_MakeSquareFree.tex}
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\input{Polynomial_ref/PolynomialTraits_d_IsSquareFree.tex}
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\input{Polynomial_ref/PolynomialTraits_d_PseudoDivision.tex}
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\input{Polynomial_ref/PolynomialTraits_d_PseudoDivisionQuotient.tex}
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@ -470,6 +470,7 @@ Adapts \ccc{Polynomial_traits_d<Polynomial_d>::Square_free_factorize}.
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\ccRefConceptPage{PolynomialTraits_d}\\
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\ccRefConceptPage{PolynomialTraits_d::SquareFreeFactorize}\\
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\end{ccRefFunction}
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% MakeSquareFree
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\begin{ccRefFunction}{make_square_free}
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\ccDefinition
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@ -490,6 +491,26 @@ Adapts \ccc{Polynomial_traits_d<Polynomial_d>::Make_square_free}.
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\ccRefConceptPage{PolynomialTraits_d::MakeSquareFree}\\
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\end{ccRefFunction}
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% IsSquareFree
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\begin{ccRefFunction}{is_square_free}
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\ccDefinition
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For a given \ccc{Polynomial_d} the function \ccRefName\ adapts the
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according functor in \ccc{Polynomial_traits_d<Polynomial_d>}. \\ \\
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For more details see the concept \ccc{PolynomialTraits_d::IsSquareFree}. \\ \\
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\ccInclude{CGAL/polynomial_utils.h}
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\ccFunction{
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template <class Polynomial_d>
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Polynomial_traits_d<Polynomial_d>::Is_square_free::result_type
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is_square_free(const Polynomial_d& p);
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}{
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Adapts \ccc{Polynomial_traits_d<Polynomial_d>::Is_square_free}.
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}
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\ccSeeAlso
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\ccRefConceptPage{Polynomial_d}\\
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\ccRefConceptPage{PolynomialTraits_d}\\
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\ccRefConceptPage{PolynomialTraits_d::IsSquareFree}\\
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\end{ccRefFunction}
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% PseudoDivision
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\begin{ccRefFunction}{pseudo_division}
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\ccDefinition
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