mirror of https://github.com/CGAL/cgal
67 lines
2.9 KiB
TeX
Executable File
67 lines
2.9 KiB
TeX
Executable File
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\ccRefChapter{Polynomial}
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%\label{ChapterRefPolynomial}
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\ccChapterAuthor{Michael Hemmer and Who Soever}
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\section{todo open questions:}
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\begin{itemize}
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\item \ccc{PolynomialTraits_d::Evaluate}: take \ccc{Innermost_coefficient} as argument type only.
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this relates CoercionTraits (not documented yet)
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\item Do we need a SignAt for multivariate polynomials?
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\item Some of the functors in PolynomialTraits can be implemented using some more basic ones.
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On the other hand, the way they should be implemented may depend on the way the polynomial is
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represented and on the cost of the other functors.
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I therefore decided to put them into the PolynomialTraits.
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On the other hand one could decide to provide a very basic PolynomialTraits
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(just constructor, access to coefficients, and properties (degree)) and call the current
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PolynomialTraits a PolynomialToolBox. But I don't think that this is going to be very efficient
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or used.
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\item \ccc{PolynomialTraits_d::ConstructPolynomial_d}, is there a nice interface to
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constuct sparse multivariat polynomials?
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\end{itemize}
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\section{Classified Reference Pages}
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\subsection*{Polynomial\_d}
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\ccRefConceptPage{Polynomial_d}\\
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\ccRefConceptPage{PolynomialTraits_d}\\
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\ccRefConceptPage{PolynomialTraits_d::ConstructPolynomial_d}\\
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\ccRefConceptPage{PolynomialTraits_d::Degree}\\
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\ccRefConceptPage{PolynomialTraits_d::TotalDegree}\\
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\ccRefConceptPage{PolynomialTraits_d::LeadingCoefficient}\\
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\ccRefConceptPage{PolynomialTraits_d::UnivariateContent}\\
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\ccRefConceptPage{PolynomialTraits_d::MultivariateContent}\\
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\ccRefConceptPage{PolynomialTraits_d::Shift}\\
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\ccRefConceptPage{PolynomialTraits_d::Negate}\\
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\ccRefConceptPage{PolynomialTraits_d::Invert}\\
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\ccRefConceptPage{PolynomialTraits_d::Translate}\\
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\ccRefConceptPage{PolynomialTraits_d::TranslateHomogeneous}\\
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\ccRefConceptPage{PolynomialTraits_d::Scale}\\
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\ccRefConceptPage{PolynomialTraits_d::ScaleHomogeneous}\\
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%\ccRefConceptPage{PolynomialTraits_d::ScaleUp}\\
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%\ccRefConceptPage{PolynomialTraits_d::ScaleDown}\\
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\ccRefConceptPage{PolynomialTraits_d::Differentiate}\\
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\ccRefConceptPage{PolynomialTraits_d::SquareFreeFactorization}\\
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\ccRefConceptPage{PolynomialTraits_d::MakeSquareFree}\\
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\ccRefConceptPage{PolynomialTraits_d::PseudoDivision}\\
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\ccRefConceptPage{PolynomialTraits_d::PseudoDivisionQuotient}\\
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\ccRefConceptPage{PolynomialTraits_d::PseudoDivisionRemainder}\\
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\ccRefConceptPage{PolynomialTraits_d::GcdUpToConstantFactor}\\
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\ccRefConceptPage{PolynomialTraits_d::IntegralDivisionUpToConstantFactor}\\
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\ccRefConceptPage{PolynomialTraits_d::UnivariateContentUpToConstantFactor}\\
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\ccRefConceptPage{PolynomialTraits_d::SquareFreeFactorizationUpToConstantFactor}\\
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\ccRefConceptPage{PolynomialTraits_d::MakeSquareFreeUpToConstantFactor}\\
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\ccRefConceptPage{PolynomialTraits_d::Evaluate}\\
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\ccRefConceptPage{PolynomialTraits_d::EvaluateHomogeneous}\\
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\ccRefConceptPage{PolynomialTraits_d::Resultant}\\ |