\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Arrangements

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CGAL::Arr_vertex_index_map< Arrangement > Class Template Reference
2D Arrangement Reference

`#include <CGAL/Arr_vertex_index_map.h>`

## Inherits from

CGAL::Arr_observer< Arrangement >.

## Definition

`Arr_vertex_index_map` maintains a mapping of vertex handles of an attached arrangement object to indices (of type `unsigned int`).

This class template is a model of the concept `ReadablePropertyMap`. A mapping between vertex handles and indices enables convenient usage of property-map classes supplied by `boost`. For example, the property-map class templates `boost::vector_property_map`, which is based on `std::vector`, and `boost::iterator_property_map`, which can be used to implement a property map based on a native C++ array, require the user to supply a mapping such as `Arr_vertex_index_map`.

As new vertices might be inserted into the attached arrangement, and existing vertices might be removed, the notification mechanism is used to dynamically maintain the mapping of vertex handles to indices.

Is Model Of:

  DefaultConstructible

  CopyConstructible

  Assignable

  `ReadablePropertyMap`

See Also
  `Arr_observer<Arrangement>`
  `Arr_face_index_map<Arrangement>`

Examples:
  Arrangement_on_surface_2/bgl_primal_adapter.cpp.

## Types
typedef Arrangement | Arrangement_2
| the type of the attached arrangement.
typedef boost::readable_property_map_tag | category
typedef unsigned int | value_type
typedef unsigned int | reference
typedef Vertex_handle | key_type
typedef Arrangement_2::Vertex_handle | Vertex_handle
| The vertex handle type.
typedef Unique_hash_map < Vertex_handle, value_type > | Index_map
| The type of mapping of vertices to indices.

## Creation
| Arr_vertex_index_map ()
| constructs a map that is unattached to any arrangement instance.
| Arr_vertex_index_map (Arrangement_2 &arr)
| constructs a map and attaches it to the given arrangement `arr`.

## Additional Inherited Members
Public Types inherited from CGAL::Arr_observer< Arrangement >
typedef unspecified_type | Arrangement_2
| the type of the associated arrangement.
typedef Arrangement_2::Point_2 | Point_2
| the point type.
typedef Arrangement_2::X_monotone_curve_2 | X_monotone_curve_2
| the \( x\)-monotone curve type.
typedef Arrangement_2::Vertex_handle | Vertex_handle
typedef Arrangement_2::Halfedge_handle | Halfedge_handle
typedef Arrangement_2::Face_handle | Face_handle
typedef Arrangement_2::Ccb_halfedge_circulator | Ccb_halfedge_circulator
| represents the boundary of a connected component (CCB). More...
Public Member Functions inherited from CGAL::Arr_observer< Arrangement >
| Arr_observer ()
| constructs an observer that is unattached to any arrangement instance.
| Arr_observer (Arrangement_2 &arr)
| constructs an observer and attaches it to the given arrangement `arr`.
void | attach (Arrangement_2 &arr)
| attaches the observer to the given arrangement `arr`.
void | detach ()
| detaches the observer from its arrangement.
virtual void | before_assign (const Arrangement_2 &arr)
| issued just before the attached arrangement is assigned with the contents of another arrangement `arr`.
virtual void | after_assign ()
| issued immediately after the attached arrangement has been assigned with the contents of another arrangement.
virtual void | before_clear ()
| issued just before the attached arrangement is cleared.
virtual void | after_clear (Face_handle uf)
| issued immediately after the attached arrangement has been cleared, so it now consists only of a the unbounded face `uf`.
virtual void | before_global_change ()
| issued just before a global function starts to modify the attached arrangement. More...
virtual void | after_global_change ()
| issued immediately after a global function has stopped modifying the attached arrangement.
virtual void | before_attach (const Arrangement_2 &arr)
| issued just before the observer is attached to the arrangement instance `arr`.
virtual void | after_attach ()
| issued immediately after the observer has been attached to an arrangement instance.
virtual void | before_detach ()
| issued just before the observer is detached from its arrangement instance.
virtual void | after_attach ()
| issued immediately after the observer has been detached from its arrangement instance.
virtual void | before_create_vertex (const Point_2 &p)
| issued just before a new vertex that corresponds to the point `p` is created.
virtual void | after_create_vertex (Vertex_handle v)
| issued immediately after a new vertex `v` has been created. More...
virtual void | before_create_boundary_vertex (const X_monotone_curve_2 &cv, Arr_curve_end ind, Arr_parameter_space ps_x, Arr_parameter_space ps_y)
| issued just before a new vertex at infinity is created, `cv` is the curve incident to the surface boundary, `ind` is the relevant curve-end, `ps_x` is the boundary condition of the vertex in \( x\) and `ps_y` is the boundary condition of the vertex in \( y\).
virtual void | after_create_boundary_vertex (Vertex_handle v)
| issued immediately after a new vertex `v` has been created. More...
virtual void | before_create_edge (const X_monotone_curve_2 &c, Vertex_handle v1, Vertex_handle v2)
| issued just before a new edge that corresponds to the \( x\)-monotone curve `c` and connects the vertices `v1` and `v2` is created.
virtual void | after_create_edge (Halfedge_handle e)
| issued immediately after a new edge `e` has been created. More...
virtual void | before_modify_vertex (Vertex_handle v, const Point_2 &p)
| issued just before a vertex `v` is modified to be associated with the point `p`.
virtual void | after_modify_vertex (Vertex_handle v)
| issued immediately after an existing vertex `v` has been modified.
virtual void | before_modify_edge (Halfedge_handle e, const X_monotone_curve_2 &c)
| issued just before an edge `e` is modified to be associated with the \( x\)-monotone curve `c`.
virtual void | after_modify_edge (Halfedge_handle e)
| issued immediately after an existing edge `e` has been modified.
virtual void | before_split_edge (Halfedge_handle e, Vertex_handle v, const X_monotone_curve_2 &c1, const X_monotone_curve_2 &c2)
| issued just before an edge `e` is split into two edges that should be associated with the \( x\)-monotone curves `c1` and `c2`. More...
virtual void | after_split_edge (Halfedge_handle e1, Halfedge_handle e2)
| issued immediately after an existing edge has been split into the two given edges `e1` and `e2`.
virtual void | before_split_fictitious_edge (Halfedge_handle e, Vertex_handle v)
| issued just before a fictitious edge `e` is split into two. More...
virtual void | after_split_fictitious_edge (Halfedge_handle e1, Halfedge_handle e2)
| issued immediately after an existing fictitious edge has been split into the two given fictitious edges `e1` and `e2`.
virtual void | before_split_face (Face_handle f, Halfedge_handle e)
| issued just before a face `f` is split into two, as a result of the insertion of the edge `e` into the arrangement.
virtual void | after_split_face (Face_handle f1, Face_handle f2, bool is_hole)
| issued immediately after the existing face `f1` has been split, such that a portion of it now forms a new face `f2`. More...
virtual void | before_split_outer_ccb (Face_handle f, Ccb_halfedge_circulator h, Halfedge_handle e)
| issued just before outer ccb `h` inside a face `f` is split into two, as a result of the removal of the edge `e` from the arrangement.
virtual void | after_split_outer_ccb (Face_handle f, Ccb_halfedge_circulator h1, Ccb_halfedge_circulator h2)
| issued immediately after outer ccb the face `f` has been split, resulting in the two holes `h1` and `h2`.
virtual void | before_split_inner_ccb (Face_handle f, Ccb_halfedge_circulator h, Halfedge_handle e)
| issued just before inner ccb `h` inside a face `f` is split into two, as a result of the removal of the edge `e` from the arrangement.
virtual void | after_split_inner_ccb (Face_handle f, Ccb_halfedge_circulator h1, Ccb_halfedge_circulator h2)
| issued immediately after inner ccb the face `f` has been split, resulting in the two holes `h1` and `h2`.
virtual void | before_add_outer_ccb (Face_handle f, Halfedge_handle e)
| issued just before the edge `e` is inserted as a new outer ccb inside the face `f`.
virtual void | after_add_outer_ccb (Ccb_halfedge_circulator h)
| issued immediately after a new outer ccb `h` has been created. More...
virtual void | before_add_inner_ccb (Face_handle f, Halfedge_handle e)
| issued just before the edge `e` is inserted as a new inner ccb inside the face `f`.
virtual void | after_add_inner_ccb (Ccb_halfedge_circulator h)
| issued immediately after a new inner ccb `h` has been created. More...
virtual void | before_add_isolated_vertex (Face_handle f, Vertex_handle v)
| issued just before the vertex `v` is inserted as an isolated vertex inside the face `f`.
virtual void | after_add_isolated_vertex (Vertex_handle v)
| issued immediately after the vertex `v` has been set as an isolated vertex.
virtual void | before_merge_edge (Halfedge_handle e1, Halfedge_handle e2, const X_monotone_curve_2 &c)
| issued just before the two edges `e1` and `e2` are merged to form a single edge that will be associated with the \( x\)-monotone curve `c`.
virtual void | after_merge_edge (Halfedge_handle e)
| issued immediately after two edges have been merged to form the edge `e`.
virtual void | before_merge_fictitious_edge (Halfedge_handle e1, Halfedge_handle e2)
| issued just before the two fictitious edges `e1` and `e2` are merged to form a single fictitious edge.
virtual void | after_merge_fictitious_edge (Halfedge_handle e)
| issued immediately after two fictitious edges have been merged to form the fictitious edge `e`.
virtual void | before_merge_face (Face_handle f1, Face_handle f2, Halfedge_handle e)
| issued just before the two edges `f1` and `f2` are merged to form a single face, following the removal of the edge `e` from the arrangement.
virtual void | after_merge_face (Face_handle f)
| issued immediately after two faces have been merged to form the face `f`.
virtual void | before_merge_outer_ccb (Face_handle f, Ccb_halfedge_circulator h1, Ccb_halfedge_circulator h2, Halfedge_handle e)
| issued just before two outer ccbs `h1` and `h2` inside the face `f` are merged to form a single connected component, following the insertion of the edge `e` into the arrangement.
virtual void | after_merge_outer_ccb (Face_handle f, Ccb_halfedge_circulator h)
| issued immediately after two outer ccbs have been merged to form a single outer ccb `h` inside the face `f`.
virtual void | before_merge_inner_ccb (Face_handle f, Ccb_halfedge_circulator h1, Ccb_halfedge_circulator h2, Halfedge_handle e)
| issued just before two inner ccbs `h1` and `h2` inside the face `f` are merged to form a single connected component, following the insertion of the edge `e` into the arrangement.
virtual void | after_merge_inner_ccb (Face_handle f, Ccb_halfedge_circulator h)
| issued immediately after two inner ccbs have been merged to form a single inner ccb `h` inside the face `f`.
virtual void | before_move_outer_ccb (Face_handle from_f, Face_handle to_f, Ccb_halfedge_circulator h)
| issued just before the outer ccb `h` is moved from one face to another. More...
virtual void | after_move_outer_ccb (Ccb_halfedge_circulator h)
| issued immediately after the outer ccb `h` has been moved to a new face.
virtual void | before_move_inner_ccb (Face_handle from_f, Face_handle to_f, Ccb_halfedge_circulator h)
| issued just before the inner ccb `h` is moved from one face to another. More...
virtual void | after_move_inner_ccb (Ccb_halfedge_circulator h)
| issued immediately after the inner ccb `h` has been moved to a new face.
virtual void | before_move_isolated_vertex (Face_handle from_f, Face_handle to_f, Vertex_handle v)
| issued just before the isolated vertex `v` is moved from one face to another. More...
virtual void | after_move_isolated_vertex (Vertex_handle v)
| issued immediately after the isolated vertex `v` has been moved to a new face.
virtual void | before_remove_vertex (Vertex_handle v)
| issued just before the vertex `v` is removed from the arrangement.
virtual void | after_remove_vertex ()
| issued immediately after a vertex has been removed (and deleted) from the arrangement.
virtual void | before_remove_edge (Halfedge_handle e)
| issued just before the edge `e` is removed from the arrangement.
virtual void | after_remove_edge ()
| issued immediately after an edge has been removed (and deleted) from the arrangement.
virtual void | before_remove_outer_ccb (Face_handle f, Ccb_halfedge_circulator h)
| issued just before the outer ccb `f` is removed from inside the face `f`.
virtual void | after_remove_outer_ccb (Face_handle f)
| issued immediately after a outer ccb has been removed (and deleted) from inside the face `f`.
virtual void | before_remove_inner_ccb (Face_handle f, Ccb_halfedge_circulator h)
| issued just before the inner ccb `f` is removed from inside the face `f`.
virtual void | after_remove_inner_ccb (Face_handle f)
| issued immediately after a inner ccb has been removed (and deleted) from inside the face `f`.