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CGAL 6.0.1 - CGAL and the Boost Graph Library
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CGAL 6.0.1 - CGAL and the Boost Graph Library
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We extend the Boost Graph Library (BGL for short) with a set of new concepts.
In order to make this documentation self-contained we here also document concepts that are defined in the original version of the BGL. The documentation of the concepts lists at the same time the functions related to it. Models of the concept and their related functions must be in the same namespace (they will be found by Koenig lookup).
Notations
G g G. u, v boost::graph_traits<G>::vertex_descriptor. h boost::graph_traits<G>::halfedge_descriptor. e boost::graph_traits<G>::edge_descriptor. f boost::graph_traits<G>::face_descriptor. VertexListGraph
The concept VertexListGraph refines the concept Graph and adds the requirement for traversal of all vertices in a graph.
| Associated Type | Description |
|---|---|
boost::graph_traits<G>::vertex_iterator | Iterator over all vertices |
boost::graph_traits<G>::vertices_size_type | Unsigned integer type for number of vertices |
| Valid Expression | Return Type | Description |
|---|---|---|
vertices(g) | std::pair<vertex_iterator, vertex_iterator> | An iterator range over all vertices |
num_vertices(g) | vertices_size_type | An upper bound of the number of vertices of the graph |
EdgeListGraph
The concept EdgeListGraph refines the concept Graph and adds the requirement for traversal of all edges in a graph.
| Associated Type | Description |
|---|---|
boost::graph_traits<G>::edge_iterator | Iterator over all edges |
boost::graph_traits<G>::edges_size_type | Unsigned integer type for number of edges |
| Valid Expression | Return Type | Description |
|---|---|---|
edges(g) | std::pair<edge_iterator, edge_iterator> | An iterator range over all edges |
num_edges(g) | edges_size_type | An upper bound of the number of edges of the graph |
source(e, g) | vertex_descriptor | The source vertex of e |
target(e, g) | vertex_descriptor | The target vertex of e |
HalfedgeGraph
The concept HalfedgeGraph refines the concept Graph and adds the notion of halfedges, where each edge corresponds to two opposite halfedges.
| Associated Type | Description |
|---|---|
boost::graph_traits<G>::halfedge_descriptor | A halfedge_descriptor corresponds to a halfedge in a graph. Must be DefaultConstructible, Assignable, EqualityComparable and LessThanComparable |
| Valid Expression | Return Type | Description |
|---|---|---|
edge(h, g) | edge_descriptor | The edge corresponding to the halfedges h and opposite(h) |
halfedge(e, g) | halfedge_descriptor | One of the halfedges corresponding to the edge e |
halfedge(v, g) | halfedge_descriptor | A halfedge with target the vertex v |
halfedge(u, v, g) | std::pair<halfedge_descriptor, bool> | The halfedge with source u and target v. The Boolean is true, iff this halfedge exists |
opposite(h, g) | halfedge_descriptor | The halfedge with source and target swapped |
source(h, g) | vertex_descriptor | The source vertex of h |
target(h, g) | vertex_descriptor | The target vertex of h |
next(h, g) | halfedge_descriptor | The next halfedge around its face |
prev(h, g) | halfedge_descriptor | The previous halfedge around its face |
boost::graph_traits<G>::null_halfedge() | halfedge_descriptor | Returns a special halfedge that is not equal to any other halfedge |
The HalfedgeGraph has the invariant halfedge(edge(h,g))==h.
MutableHalfedgeGraph
The concept MutableHalfedgeGraph refines the concept HalfedgeGraph and adds the requirements for operations to add vertices and edges, and to update the incidence information between vertices and halfedges.
| Valid Expression | Return Type | Description |
|---|---|---|
add_vertex(g) | vertex_descriptor | Adds a new vertex to the graph without initializing the connectivity |
remove_vertex(v, g) | void | Removes the vertex v from the graph |
add_edge(g) | edge_descriptor | Adds two opposite halfedges to the graph without initializing their connectivity |
remove_edge(e, g) | void | Removes the two halfedges corresponding to the edge e from the graph |
set_target(h, v, g) | void | Sets the target vertex of the halfedge h and the source of opposite(h) to the vertex v |
set_halfedge(v, h, g) | void | Sets the halfedge of the vertex v to h. The target vertex of h must be v |
set_next(h1, h2, g) | void | Sets the successor of h1 around a face to h2, and the prededecessor of h2 to h1 |
HalfedgeListGraph
The concept HalfedgeListGraph refines the concept HalfedgeGraph and adds the requirements for traversal of all halfedges in the graph.
| Associated Type | Description |
|---|---|
boost::graph_traits<G>::halfedge_iterator | A BidirectionalIterator over all halfedges in a graph. Must be DefaultConstructible, Assignable, EqualityComparable |
boost::graph_traits<G>::halfedges_size_type | Unsigned integer type for number of halfedges |
| Valid Expression | Return Type | Description |
|---|---|---|
halfedges(g) | std::pair<halfedge_iterator, halfedge_iterator> | An iterator range over all halfedges |
num_halfedges(g) | halfedges_size_type | An upper bound of the number of halfedges of the graph |
FaceGraph
The concept FaceGraph refines the concept HalfedgeGraph. It adds the requirements for a graph to explicitly maintain faces described by halfedges, to provide access from a face to an incident halfedge, and to provide access from a halfedge to its incident face.
| Associated Type | Description |
|---|---|
boost::graph_traits<G>::face_descriptor | A face_descriptor corresponds to a unique face in a graph. Must be DefaultConstructible, Assignable, EqualityComparable and LessThanComparable |
| Valid Expression | Return Type | Description |
|---|---|---|
face(h, g) | face_descriptor | The face incident to halfedge h |
halfedge(f, g) | halfedge_descriptor | A halfedge incident to face f |
degree(f, g) | degree_size_type | The number of halfedges incident to face f |
boost::graph_traits<G>::null_face() | face_descriptor | A special face that is not equal to any other face |
MutableFaceGraph
The concept MutableFaceGraph refines the concepts FaceGraph and MutableHalfedgeGraph and adds the requirement for operations to add faces and to modify face-halfedge relations.
| Valid Expression | Return Type | Description |
|---|---|---|
add_face(g) | face_descriptor | Adds a new face to the graph without initializing the connectivity |
remove_face(f, g) | void | Removes f from the graph |
set_face(h, f, g) | void | Sets the corresponding face of h to f |
set_halfedge(f, h, g) | void | Sets the corresponding halfedge of f to h |
reserve(g, nv, ne, nf) | void | Called to indicate the expected size of vertices (nv), edges (ed) and faces (nf) |
FaceListGraph
The concept FaceListGraph refines the concept FaceGraph and adds the requirement for traversal of all faces in a graph.
| Associated Type | Description |
|---|---|
boost::graph_traits<G>::face_iterator | Iterator over all faces |
boost::graph_traits<G>::faces_size_type | Unsigned integer type for number of faces |
| Valid Expression | Return Type | Description |
|---|---|---|
faces(g) | std::pair<face_iterator, face_iterator> | An iterator range over all faces |
num_faces(g) | faces_size_type | An upper bound of the number of faces of the graph |
Concepts | |
| concept | EdgeListGraph |
| Concept from the Boost Graph Library. See https://www.boost.org/libs/graph/doc/EdgeListGraph.html. More... | |
| concept | FaceGraph |
The concept FaceGraph refines the concept HalfedgeGraph. It adds the requirements for a graph to explicitly maintain faces described by halfedges, to provide access from a face to an incident halfedge, and to provide access from a halfedge to its incident face. More... | |
| concept | FaceListGraph |
The concept FaceListGraph refines the concept FaceGraph and adds the requirement for traversal of all faces in a graph. More... | |
| concept | HalfedgeGraph |
The concept HalfedgeGraph is a refinement of the BGL concept IncidenceGraph and adds the notion of a halfedge: Each edge is associated with two opposite halfedges with source and target vertices swapped. Furthermore, halfedges have a successor and predecessor, and form cycles we call faces. However, this concept does not introduce a face type. A HalfedgeGraph is undirected and does not allow parallel edges. More... | |
| concept | HalfedgeListGraph |
The concept HalfedgeListGraph refines the concept HalfedgeGraph and adds the requirements for traversal of all halfedges in the graph. More... | |
| concept | MutableFaceGraph |
The concept MutableFaceGraph refines the concepts FaceGraph and MutableHalfedgeGraph and adds the requirement for operations to add faces and to modify face-halfedge relations. More... | |
| concept | MutableHalfedgeGraph |
The concept MutableHalfedgeGraph refines the concept HalfedgeGraph and adds the requirements for operations to add vertices and edges, and to update the incidence information between vertices and halfedges. More... | |
| concept | VertexListGraph |
| Concept from the Boost Graph Library. See https://www.boost.org/libs/graph/doc/VertexListGraph.html. More... | |
1.9.6