mirror of https://github.com/CGAL/cgal
66 lines
2.0 KiB
TeX
66 lines
2.0 KiB
TeX
\begin{ccRefConcept}{TriangulationVertex}
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\ccDefinition
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The concept \ccRefName\ describes the requirements on the type used by the
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class \ccc{Triangulation<TrTraits, TDS>}, and its derived classes, to
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represent a vertex.
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\ccRefines
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\ccc{TriangulationDSVertex}
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We only list below the additional specific requirements of \ccRefName.
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Compared to \ccc{TriangulationDSVertex}, the main difference is the addition of
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an embedding of the vertex into a geometric point.
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\ccHasModels
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\ccc{Triangulation_vertex<TrTraits, Data, TDSVertex>}
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\ccTypes
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\ccNestedType{Point}{The type of the point stored in the vertex. It must be
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the same as the point type \ccc{TrTraits::Point} (or its refined
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concepts) when the \ccc{TriangulationVertex} is used in the class
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\ccc{Triangulation<TrTraits, TDS>} (or its derived classes).}
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\ccCreation
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\ccCreationVariable{v}
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\ccConstructor{TriangulationVertex(Full_cell_handle s, const Point & p);}%
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{Constructs a vertex with incident cell \ccc{s}. The vertex is embedded at point \ccc{p}.}
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\ccGlue\ccConstructor{TriangulationVertex(const Point & p);}%
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{Same as above, but without incident cell.}%{ (Who would have guessed?)}
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\ccGlue\ccConstructor{TriangulationVertex();}%
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{Same as above, but with a default-constructed \ccc{Point}.}
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\ccOperations
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\ccMethod{void set_point(const Point & p);}%
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{The parameter \ccc{p} becomes the new geometrical position of the vertex.}
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\ccMethod{const Point & point() const;}%
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{Returns the vertex's position.}
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\ccHeading{Input/Output}
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\ccFunction{istream & operator>>(istream & is, TriangulationVertex & v);}%
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{Inputs the non-combinatorial information given by the vertex, {i.e.},
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the point and other possible information.}
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\ccFunction{ostream & operator<<(ostream & os, const TriangulationVertex & v);}%
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{Outputs the non-combinatorial information given by the vertex, {i.e.},
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the point and other possible information.}
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\ccSeeAlso
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\ccc{Triangulation_vertex<TrTraits, Data, TDSVertex>}\\
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\ccc{TriangulationFullCell}\\
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\ccc{Triangulation<TrTraits, TDS>}
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\end{ccRefConcept}
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