mirror of https://github.com/CGAL/cgal
33 lines
1.2 KiB
TeX
33 lines
1.2 KiB
TeX
\begin{ccRefClass}{Homogeneous<RingNumberType>}
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\ccInclude{CGAL/Homogeneous.h}
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\ccDefinition
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A model for a \ccc{Kernel} using homogeneous coordinates to represent the
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geometric objects. In order for \ccRefName\ to model Euclidean geometry
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in $E^2$ and/or $E^3$, for some mathematical ring $E$ (\textit{e.g.},
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the integers \Z\ or the rationals \Q), the template parameter RingNumberType
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must model the mathematical ring $E$. That is, the ring operations on this
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number type must compute the mathematically correct results. If the number
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type provided as a model for RingNumberType is only an approximation of a
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ring (such as the built-in type \ccc{double}), then the geometry provided by
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the kernel is only an approximation of Euclidean geometry.
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\ccIsModel
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\ccRefConceptPage{Kernel}
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\ccTexHtml{\ccSetThreeColumns{typedef Quotient<RingNumberType>}{}{\hspace*{8.5cm}}}{}
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\ccTypes
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\ccTypedef{typedef Quotient<RingNumberType> FT;}{}
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\ccGlue
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\ccTypedef{typedef RingNumberType RT;}{}
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\ccImplementation
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This model of a kernel uses reference counting.
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::Cartesian<FieldNumberType>} \\
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\ccRefIdfierPage{CGAL::Simple_cartesian<FieldNumberType>} \\
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\ccRefIdfierPage{CGAL::Simple_homogeneous<RingNumberType>} \\
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\end{ccRefClass}
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