mirror of https://github.com/CGAL/cgal
73 lines
2.9 KiB
TeX
73 lines
2.9 KiB
TeX
\begin{ccRefClass}{Triangulation_data_structure<Dimensionality, TriangulationDSVertex, TriangulationDSFullCell>}
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\ccDefinition
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This class is used for storing the combinatorial information of a triangulation
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of dimension $k\leq d$.
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\ccInclude{CGAL/Triangulation_data_structure.h}
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\ccParameters
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\ccc{Dimensionality} can be either \begin{itemize}
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\item \ccPureGlobalScope\ccc{Dimension_tag<d>} for some integer \ccc{d}. This
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indicates that the triangulation data structure can store simplices (full cells) of dimension at most
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\ccc{d}. The maximum dimension \ccc{d} is known by the compiler, which
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triggers some optimizations. Or
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\item \ccPureGlobalScope\ccc{Dynamic_dimension_tag}. In this case, the maximum
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dimension of the simplices (full cells) is passed as an integer argument to an instance
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constructor (see \ccc{TriangulationDataStructure}).\end{itemize}
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\ccc{TriangulationDSVertex} is the class to be used as the base \ccc{Vertex} type in the
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triangulation data structure. It must be a model of the concept
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\ccc{TriangulationDSVertex}. The class template \ccRefName\ accepts that no
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second parameter be specified. It also accepts the tag \ccc{CGAL::Default} as
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second parameter. In both cases, \ccc{TriangulationDSVertex} defaults to
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\ccc{CGAL::Triangulation_ds_vertex<>}.
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\ccc{TriangulationDSFullCell} is the class to be used as the base \ccc{Full_cell} type in
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the triangulation data structure. It must be a model of the concept
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\ccc{TriangulationDSFullCell}. The class template \ccRefName\ accepts that no
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third parameter be specified. It also accepts the tag \ccc{CGAL::Default} as
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third parameter. In both cases, \ccc{TriangulationDSFullCell} defaults to
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\ccc{CGAL::Triangulation_ds_full_cell<>}.
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\ccIsModel
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\ccc{TriangulationDataStructure}.
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In addition, the class \ccRefName\ provides the following types and methods:
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\ccCreation
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\ccCreationVariable{t}
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\ccConstructor{XXXXXXX(const Triangulation_data_structure & t2);}
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{The copy constructor. Creates a copy of the \ccRefName\ \ccc{t2} passed as
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argument. All vertices and full cells are duplicated.}
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\begin{ccAdvanced}
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\ccTypes
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\ccNestedType{Full_cell_data}
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{A data member of type \ccc{Full_cell_data} is stored in every full cell (models
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of the concept \ccc{TriangulationDSFullCell}). It is used to mark
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some
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full cells, during modifications of the triangulation data structure.}
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\ccHeading{Vertex insertion} % - - - - - - - - - - - - - - - - - - INSERTIONS
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\ccMethod{template< OutputIterator > Full_cell_handle insert_in_tagged_hole(
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Vertex_handle v, Facet f, OutputIterator new_full_cells);}
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{A set \ccc{C} of full cells satisfying the same condition as in method
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\ccRefName\ccc{::insert_in_hole()} is assumed to be marked. This
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method creates new full cells from \ccc{Vertex} v to the boundary of \ccc{C}.
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The boundary is recognized by checking the mark of the full cells.
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This method is used by \ccRefName\ccc{::insert_in_hole()}.}
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\end{ccAdvanced}
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\end{ccRefClass}
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