mirror of https://github.com/CGAL/cgal
49 lines
1.7 KiB
TeX
49 lines
1.7 KiB
TeX
\begin{ccRefConcept}{PolynomialTraits_d::PseudoDivisionQuotient}
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\ccDefinition
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This \ccc{AdaptableBinaryFunction} computes the quotient of the so called {\em pseudo division}
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of to polynomials $f$ and $g$.
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Given $f$ and $g != 0$, compute quotient $q$ and remainder $r$
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such that $D \cdot f = g \cdot q + r$ and $degree(r) < degree(g)$,
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where $ D = leading\_coefficient(g)^{max(0, degree(f)-degree(g)+1)}$
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\ccRefines
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\ccc{AdaptableBinaryFunction}
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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;}{}\ccGlue
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\ccTypedef{typedef PolynomialTraits_d::Polynomial_d second_argument_type;}{}
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\ccOperations
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\ccMethod{result_type operator()(first_argument_type f,
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second_argument_type g);}{
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Returns the quotient $q$ of the pseudo division of $f$ and $g$ with
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respect to the outermost variable $x_{d-1}$.}
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\begin{ccAdvanced}
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\ccMethod{result_type operator()(first_argument_type f,
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second_argument_type g,
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int i);}{
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Returns the quotient $q$ of the pseudo division of $f$ and $g$ with
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respect to variable $x_i$.
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\ccPrecond $0 \leq i < d$ }
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\end{ccAdvanced}
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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::PseudoDivision}\\
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\ccRefIdfierPage{PolynomialTraits_d::PseudoDivisionRemainder}\\
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\ccRefIdfierPage{PolynomialTraits_d::PseudoDivisionQuotient}\\
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\end{ccRefConcept} |