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The concept TriangulationDataStructure_2::Face describes the types used to store the faces face class of a TriangulationDataStructure_2. A TriangulationDataStructure_2::Face stores three pointers to its three vertices and three pointers to its three neighbors. The vertices are indexed 0,1, and 2 in counterclockwise order. The neighbor indexed i lies opposite to vertex i.
In degenerate cases, when the triangulation data structure stores a simplicial complex of dimension 0 and 1, the type TriangulationDataStructure_2::Face is used to store the faces of maximal dimension of the complex : i.e. a vertex in dimension 0, an edge in dimension 1. Only vertices and neighbors with index 0 are set in the first case, only vertices and neighbors with index 0 or 1 are set in the second case.
The methods create_face and delete_face() have to be used to define new faces and to delete non longer used faces.
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returns the vertex i of f.
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returns the index of vertex v in f.
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| returns true if v is a vertex of f. | ||||
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| returns true if v is a vertex of f, and computes the index i of v in f. | ||||
The neighbor with index i is the neighbor which is opposite to the vertex with index i.
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returns the neighbor i of f.
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returns the index of face n.
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| returns true if n is a neighbor of f. | ||||
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| returns true if n is a neighbor of f, and compute the index i of n. | ||||
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sets vertex i to be v.
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sets neighbor i to be n.
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| sets the vertices pointers to NULL. | ||
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| sets the vertices pointers. | ||||
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| sets the neighbors pointers to NULL. | ||
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| sets the neighbors pointers. | ||||
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| returns true if the function is_valid() of the base class returns true and if, for each index i, 0 ≤ i < 3, face f is a neighbor of its neighboring face neighbor(i) and shares with this neighbor the vertices cw(i) and ccw(i) in correct reverse order. |
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Returns i+1 modulo 3.
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Returns i+2 modulo 3.
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| Inputs any non combinatorial information possibly stored in the face. |
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| Outputs any non combinatorial information possibly stored in the face. |