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CGAL 6.3 - 1D Arrangements
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The concept AocTopologyTraits encapsulates the topological data structures, storage layout, memory allocation, and navigation primitives required by CGAL::Arrangement_on_curve_1 to maintain subdivisions of a 1D carrier curve.
Types | |
| typedef unspecified_type | Point_1 |
| The geometric point type stored at vertices. | |
| typedef unspecified_type | Vertex_descriptor |
| Handle type used to refer to a vertex. | |
| typedef unspecified_type | Edge_descriptor |
| Handle type used to refer to an edge. | |
| typedef unspecified_type | Vertex_const_descriptor |
| Constant handle type used to refer to a vertex. | |
| typedef unspecified_type | Edge_const_descriptor |
| Constant handle type used to refer to an edge. | |
| typedef unspecified_type | Vertex_descriptor_iterator |
| An iterator over vertex descriptors. | |
| typedef unspecified_type | Edge_descriptor_iterator |
| An iterator over edge descriptors. | |
| typedef unspecified_type | Vertex_descriptor_range |
| A range over all vertex descriptors in the arrangement. | |
| typedef unspecified_type | Edge_descriptor_range |
| A range over all edge descriptors in the arrangement. | |
| typedef unspecified_type | Size |
| Size type. | |
| typedef unspecified_type | Allocator_type |
| Allocator type. | |
| typedef unspecified_type | Vertex_point_map |
| A readable and writable lvalue property map mapping Vertex_descriptor to const Point_1&. | |
| typedef unspecified_type | Vertex_data_map |
| A readable and writable property map mapping Vertex_descriptor to extended vertex user data. | |
| typedef unspecified_type | Edge_data_map |
| A readable and writable property map mapping Edge_descriptor to extended edge user data. | |
Constants | |
| static const bool | use_vector |
| Indicates whether vertices and edges are stored in random-access vector structures. | |
Creation | |
| AocTopologyTraits () | |
| Default constructor. Constructs an empty topology traits. | |
| AocTopologyTraits (const Allocator_type &alloc) | |
| Constructs an empty topology traits using the specified allocator. | |
Queries and Ranges | |
| bool | empty () const |
| returns whether the arrangement contains no vertices. | |
| Size | number_of_vertices () const |
| returns the number of vertices in the arrangement. | |
| Size | number_of_edges () const |
| returns the number of edges in the arrangement. | |
| Vertex_descriptor_range | vertices () const |
| returns a range of all vertex descriptors. | |
| Edge_descriptor_range | edges () const |
| returns a range of all edge descriptors. | |
| Vertex_point_map | vertex_point_map () const |
| obtains the property map for vertex geometric points. | |
| Vertex_data_map | vertex_data_map () const |
| obtains the property map for vertex user data. | |
| Edge_data_map | edge_data_map () const |
| obtains the property map for edge user data. | |
| Allocator_type | get_allocator () const noexcept |
| returns the allocator used by the traits. | |
Navigation | |
| Edge_descriptor | unbounded_left_edge () |
| obtains the leftmost unbounded edge. | |
| Edge_const_descriptor | unbounded_left_edge () const |
| obtains the leftmost unbounded edge (const version). | |
| Edge_descriptor | unbounded_right_edge () |
| obtains the rightmost unbounded edge. | |
| Edge_const_descriptor | unbounded_right_edge () const |
| obtains the rightmost unbounded edge (const version). | |
| Edge_descriptor | left_edge (Vertex_descriptor v) |
| returns the edge incident to the left of vertex v. | |
| Edge_descriptor | right_edge (Vertex_descriptor v) |
| returns the edge incident to the right of vertex v. | |
| Vertex_descriptor | left_vertex (Edge_descriptor e) |
| returns the vertex incident to the left endpoint of edge e. | |
| Vertex_descriptor | right_vertex (Edge_descriptor e) |
| returns the vertex incident to the right endpoint of edge e. | |
| bool | has_left_vertex (Edge_const_descriptor e) const |
| returns whether edge e has a left endpoint (is bounded on the left). | |
| bool | has_right_vertex (Edge_const_descriptor e) const |
| returns whether edge e has a right endpoint (is bounded on the right). | |
| const Point_1 & | vertex_point (Vertex_const_descriptor v) const |
| directly returns the geometric point associated with vertex v. | |
Low-Level Storage Primitives | |
| Vertex_descriptor | create_vertex (const Point_1 &p) |
| creates a new vertex storing geometric point p. | |
| Edge_descriptor | create_edge () |
| creates a new edge. | |
| void | set_left_edge (Vertex_descriptor v, Edge_descriptor e) |
| sets e as the left incident edge of vertex v. | |
| void | set_right_edge (Vertex_descriptor v, Edge_descriptor e) |
| sets e as the right incident edge of vertex v. | |
| void | set_left_vertex (Edge_descriptor e, Vertex_descriptor v) |
| sets v as the left endpoint vertex of edge e. | |
| void | set_right_vertex (Edge_descriptor e, Vertex_descriptor v) |
| sets v as the right endpoint vertex of edge e. | |
| void | set_unbounded_left_edge (Edge_descriptor e) |
| sets e as the leftmost unbounded edge. | |
| void | set_unbounded_right_edge (Edge_descriptor e) |
| sets e as the rightmost unbounded edge. | |
| void | clear_left_vertex (Edge_descriptor e) |
| clears the left vertex endpoint of edge e. | |
| void | clear_right_vertex (Edge_descriptor e) |
| clears the right vertex endpoint of edge e. | |
| void | erase_vertex (Vertex_descriptor v) |
| erases vertex v from the topology structure. | |
| void | erase_edge (Edge_descriptor e) |
| erases edge e from the topology structure. | |
| void | clear () |
| removes all vertices and resets edges to a single unbounded edge. | |
| void | swap (AocTopologyTraits &other) noexcept |
| swaps the content of the topology traits with other. | |
#include <Concepts/AocTopologyTraits.h>
The concept AocTopologyTraits encapsulates the topological data structures, storage layout, memory allocation, and navigation primitives required by CGAL::Arrangement_on_curve_1 to maintain subdivisions of a 1D carrier curve.
Types | |
| typedef unspecified_type | Point_1 |
| The geometric point type stored at vertices. | |
| typedef unspecified_type | Vertex_descriptor |
| Handle type used to refer to a vertex. | |
| typedef unspecified_type | Edge_descriptor |
| Handle type used to refer to an edge. | |
| typedef unspecified_type | Vertex_const_descriptor |
| Constant handle type used to refer to a vertex. | |
| typedef unspecified_type | Edge_const_descriptor |
| Constant handle type used to refer to an edge. | |
| typedef unspecified_type | Vertex_descriptor_iterator |
| An iterator over vertex descriptors. | |
| typedef unspecified_type | Edge_descriptor_iterator |
| An iterator over edge descriptors. | |
| typedef unspecified_type | Vertex_descriptor_range |
| A range over all vertex descriptors in the arrangement. | |
| typedef unspecified_type | Edge_descriptor_range |
| A range over all edge descriptors in the arrangement. | |
| typedef unspecified_type | Size |
| Size type. | |
| typedef unspecified_type | Allocator_type |
| Allocator type. | |
| typedef unspecified_type | Vertex_point_map |
| A readable and writable lvalue property map mapping Vertex_descriptor to const Point_1&. | |
| typedef unspecified_type | Vertex_data_map |
| A readable and writable property map mapping Vertex_descriptor to extended vertex user data. | |
| typedef unspecified_type | Edge_data_map |
| A readable and writable property map mapping Edge_descriptor to extended edge user data. | |
Constants | |
| static const bool | use_vector |
| Indicates whether vertices and edges are stored in random-access vector structures. | |
Creation | |
| AocTopologyTraits () | |
| Default constructor. Constructs an empty topology traits. | |
| AocTopologyTraits (const Allocator_type &alloc) | |
| Constructs an empty topology traits using the specified allocator. | |
Queries and Ranges | |
| bool | empty () const |
| returns whether the arrangement contains no vertices. | |
| Size | number_of_vertices () const |
| returns the number of vertices in the arrangement. | |
| Size | number_of_edges () const |
| returns the number of edges in the arrangement. | |
| Vertex_descriptor_range | vertices () const |
| returns a range of all vertex descriptors. | |
| Edge_descriptor_range | edges () const |
| returns a range of all edge descriptors. | |
| Vertex_point_map | vertex_point_map () const |
| obtains the property map for vertex geometric points. | |
| Vertex_data_map | vertex_data_map () const |
| obtains the property map for vertex user data. | |
| Edge_data_map | edge_data_map () const |
| obtains the property map for edge user data. | |
| Allocator_type | get_allocator () const noexcept |
| returns the allocator used by the traits. | |
Navigation | |
| Edge_descriptor | unbounded_left_edge () |
| obtains the leftmost unbounded edge. | |
| Edge_const_descriptor | unbounded_left_edge () const |
| obtains the leftmost unbounded edge (const version). | |
| Edge_descriptor | unbounded_right_edge () |
| obtains the rightmost unbounded edge. | |
| Edge_const_descriptor | unbounded_right_edge () const |
| obtains the rightmost unbounded edge (const version). | |
| Edge_descriptor | left_edge (Vertex_descriptor v) |
| returns the edge incident to the left of vertex v. | |
| Edge_descriptor | right_edge (Vertex_descriptor v) |
| returns the edge incident to the right of vertex v. | |
| Vertex_descriptor | left_vertex (Edge_descriptor e) |
| returns the vertex incident to the left endpoint of edge e. | |
| Vertex_descriptor | right_vertex (Edge_descriptor e) |
| returns the vertex incident to the right endpoint of edge e. | |
| bool | has_left_vertex (Edge_const_descriptor e) const |
| returns whether edge e has a left endpoint (is bounded on the left). | |
| bool | has_right_vertex (Edge_const_descriptor e) const |
| returns whether edge e has a right endpoint (is bounded on the right). | |
| const Point_1 & | vertex_point (Vertex_const_descriptor v) const |
| directly returns the geometric point associated with vertex v. | |
Low-Level Storage Primitives | |
| Vertex_descriptor | create_vertex (const Point_1 &p) |
| creates a new vertex storing geometric point p. | |
| Edge_descriptor | create_edge () |
| creates a new edge. | |
| void | set_left_edge (Vertex_descriptor v, Edge_descriptor e) |
| sets e as the left incident edge of vertex v. | |
| void | set_right_edge (Vertex_descriptor v, Edge_descriptor e) |
| sets e as the right incident edge of vertex v. | |
| void | set_left_vertex (Edge_descriptor e, Vertex_descriptor v) |
| sets v as the left endpoint vertex of edge e. | |
| void | set_right_vertex (Edge_descriptor e, Vertex_descriptor v) |
| sets v as the right endpoint vertex of edge e. | |
| void | set_unbounded_left_edge (Edge_descriptor e) |
| sets e as the leftmost unbounded edge. | |
| void | set_unbounded_right_edge (Edge_descriptor e) |
| sets e as the rightmost unbounded edge. | |
| void | clear_left_vertex (Edge_descriptor e) |
| clears the left vertex endpoint of edge e. | |
| void | clear_right_vertex (Edge_descriptor e) |
| clears the right vertex endpoint of edge e. | |
| void | erase_vertex (Vertex_descriptor v) |
| erases vertex v from the topology structure. | |
| void | erase_edge (Edge_descriptor e) |
| erases edge e from the topology structure. | |
| void | clear () |
| removes all vertices and resets edges to a single unbounded edge. | |
| void | swap (AocTopologyTraits &other) noexcept |
| swaps the content of the topology traits with other. | |