mirror of https://github.com/CGAL/cgal
40 lines
1.2 KiB
TeX
40 lines
1.2 KiB
TeX
\begin{ccRefConcept}{PolynomialTraits_d::MakeSquareFreeUpToConstantFactor}
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\ccDefinition
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This \ccc{AdaptableFunctor} computes the square-free part of
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a polynomial of type \ccc{PolynomialTraits_d::Polynomial_d}.
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A polynomial $p$ can be factored into square-free and pairwise coprime
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non-constant factors $g_i$ with multiplicities $m_i$ and a constant factor $a$,
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such that $p = a \cdot g_1m_1 \cdot ... \cdot g_nm_n$.
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This functor computes $g_1 \cdot ... \cdot g_n$.
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\ccRefines
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\ccc{AdaptableFunctor}
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\ccTypes
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\ccSetThreeColumns{xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}{xxx}{}
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\ccTypedef{typedef PolynomialTraits_d::Polynomial_d result_type;}{}\ccGlue
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\ccTypedef{typedef PolynomialTraits_d::Polynomial_d first_argument_type;}{}
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\ccOperations
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\ccMethod{result_type operator()(first_argument_type p);}
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{ return the square-free part of $p$.
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\ccPostcond $multivriat_content(result) = 1$
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}
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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::MakeSquareFree}\\
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\ccRefIdfierPage{PolynomialTraits_d::SquareFreeFactorization}\\
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\ccRefIdfierPage{PolynomialTraits_d::SquareFreeFactorizationUpToConstantFactor}\\
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\end{ccRefConcept}
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