mirror of https://github.com/CGAL/cgal
35 lines
1.4 KiB
TeX
35 lines
1.4 KiB
TeX
\begin{ccRefClass}{Simple_homogeneous<RingNumberType>}
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\ccInclude{CGAL/Simple_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 \ccc{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 \ccc{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 In contrast to \ccc{Homogeneous}, no reference counting
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is used internally. This eases debugging, but may slow down algorithms
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that copy objects intensively, or slightly speed up others.
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\ccSeeAlso
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\ccRefIdfierPage{CGAL::Cartesian<FieldNumberType>} \\
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\ccRefIdfierPage{CGAL::Homogeneous<RingNumberType>} \\
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\ccRefIdfierPage{CGAL::Simple_cartesian<FieldNumberType>} \\
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\end{ccRefClass}
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