mirror of https://github.com/CGAL/cgal
43 lines
1.5 KiB
TeX
43 lines
1.5 KiB
TeX
\begin{ccRefConcept}{PolynomialTraits_d::ScaleHomogeneous}
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\ccDefinition
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This \ccc{AdaptableFunctor} scale a
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\ccc{PolynomialTraits_d::Polynomial_d} with respect to one variable.
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Note that this functor operates on the polynomial in the univariate view, that is,
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the polynomial is considered as a univariate polynomial in one specific variable.
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Moreover, the polynomial is considered as a homogeneous polynomial in that variable.
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Note that $a$ and $b$ are of type \ccc{PolynomialTraits_d::Coefficient_type}.
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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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\ccCreationVariable{fo}
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\ccTypedef{typedef PolynomialTraits_d::Polynomial_d result_type;}{}
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\ccOperations
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\ccMethod{result_type operator()(PolynomialTraits_d::Polynomial_d p,
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PolynomialTraits_d::Coefficient_type a,
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PolynomialTraits_d::Coefficient_type b);}
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{ Returns $b^{degree}\cdot p(a/b\cdot x)$,
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with respect to the outermost variable. }
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\ccMethod{result_type operator()(PolynomialTraits_d::Polynomial_d p,
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PolynomialTraits_d::Coefficient_type a,
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PolynomialTraits_d::Coefficient_type b,
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int i);}
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{ Same as first operator but for variable $x_i$.
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\ccPrecond $0 \leq i < d$
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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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\end{ccRefConcept} |