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CGAL 5.5.1 - 2D Arrangements
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CGAL 5.5.1 - 2D Arrangements
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#include <CGAL/Arr_accessor.h>
Arr_accessor provides an access to some of the private Arrangement functions. Users may use these functions to achieve more efficient programs when they have the exact topological information required by the specialized functions.
It is however highly recommended to be very careful when using the accessor functions that modify the arrangement. As we have just mentioned, these functions have very specific requirement on their input on one hand, and perform no preconditions on the other hand, so providing incorrect topological input may invalidate the arrangement.
Types | |
| typedef unspecified_type | Arrangement_2 |
| the type of the associated arrangement. More... | |
| typedef Arrangement_2::Point_2 | Point_2 |
| the point type. More... | |
| typedef Arrangement_2::X_monotone_curve_2 | X_monotone_curve_2 |
| the \( x\)-monotone curve type. More... | |
| 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... | |
Creation | |
| Arr_accessor (Arrangement_2 &arr) | |
constructs an accessor attached to the given arrangement arr. More... | |
Accessing the Notification Functions | |
| void | notify_before_global_change () |
| notifies the arrangement observer that a global change is going to take place (for the usage of the global functions that operate on arrangements). | |
| void | notify_after_global_change () |
| notifies the arrangement observer that a global change has taken place (for the usage of the global functions that operate on arrangements). | |
Arrangement Predicates | |
| Halfedge_handle | locate_around_vertex (Vertex_handle v, const X_monotone_curve_2 &c) const |
locates a place for the curve c around the vertex v and returns a halfedge whose target is v, where c should be inserted between this halfedge and the next halfedge around v in a clockwise order. | |
| int | halfedge_distance (Halfedge_const_handle e1, Halfedge_const_handle e2) const |
counts the number of edges along the path from e1 to e2. More... | |
| bool | is_inside_new_face (Halfedge_handle pred1, Halfedge_handle pred2, const X_monotone_curve_2 &c) const |
determines whether a new halfedge we are about to create, which is to be associated with the curve c and directed from pred1->target() to pred2->target(), lies on the inner CCB of the new face that will be created, introducing this new edge. More... | |
| bool | point_is_in (const Point_2 &p, Halfedge_const_handle he) const |
determines whether a given point lies within the region bounded by a boundary of the connected component that he belongs to. More... | |
| bool | is_on_outer_boundary (Halfedge_const_handle he) const |
determines whether he lies on the outer boundary of its incident face. More... | |
| bool | is_on_inner_boundary (Halfedge_const_handle he) const |
determines whether he lies on the inner boundary of its incident face (that is, whether it lies on the boundary of one of the inner CCBs of this face). | |
Arrangement Modifiers | |
| Vertex_handle | create_vertex (const Point_2 &p) |
creates a new vertex an associates it with the point p. More... | |
| Halfedge_handle | insert_in_face_interior_ex (const X_monotone_curve_2 &c, Face_handle f, Vertex_handle v1, Vertex_handle v2, Comparison_result res) |
inserts the curve c as a new inner CCBs (hole) of the face f, connecting the two isolated vertices v1 and v2. More... | |
| Halfedge_handle | insert_from_vertex_ex (const X_monotone_curve_2 &c, Halfedge_handle pred, Vertex_handle v, Comparison_result res) |
inserts the curve c into the arrangement, such that one of its endpoints corresponds to an arrangement, which is the target vertex of the halfedge pred, such that c is inserted to the circular list of halfedges around pred->target() right between pred and its successor. More... | |
| Halfedge_handle | insert_at_vertices_ex (const X_monotone_curve_2 &c, Halfedge_handle pred1, Halfedge_handle pred2, Comparison_result res, bool &new_face) |
inserts the curve c into the arrangement, such that both c's endpoints correspond to existing arrangement vertices, given by pred1->target() and pred2->target(). More... | |
| void | insert_isolated_vertex (Face_handle f, Vertex_handle v) |
inserts v as an isolated vertex inside f. More... | |
| void | move_hole (Face_handle f1, Face_handle f2, Ccb_halfedge_circulator hole) |
moves the given hole (inner CCB) from the interior of the face f1 to the face f2. More... | |
| bool | move_isolated_vertex (Face_handle f1, Face_handle f2, Vertex_handle v) |
moves the given isolated vertex from the interior of the face f1 inside the face f2. More... | |
| void | relocate_in_new_face (Halfedge_handle he) |
relocates all inner ccbs and isolated vertices to their proper position immediately after a face has split due to the insertion of a new halfedge, namely after insert_at_vertices_ex() was invoked and indicated that a new face has been created. More... | |
| void | relocate_holes_in_new_face (Halfedge_handle he) |
| relocates all inner ccbs in a new face, as detailed above. More... | |
| void | relocate_isolated_vertices_in_new_face (Halfedge_handle he) |
| relocates all isolated vertices in a new face, as detailed above. More... | |
| Vertex_handle | modify_vertex_ex (Vertex_handle v, const Point_2 &p) |
modifies the point associated with the vertex v (the point may be geometrically different than the one currently associated with v). More... | |
| Halfedge_handle | modify_edge_ex (Halfedge_handle e, const X_monotone_curve_2 &c) |
modifies the \( x\)-monotone curve associated with the edge e (the curve c may be geometrically different than the one currently associated with e). More... | |
| Halfedge_handle | split_edge_ex (Halfedge_handle he, const Point_2 &p, const X_monotone_curve_2 &c1, const X_monotone_curve_2 &c2) |
splits a given edge into two at the split point p, and associate the x-monotone curves c1 and c2 with the resulting edges, such that c1 connects he->source() with p and c2 connects p with he->target(). More... | |
| Halfedge_handle | split_edge_ex (Halfedge_handle he, Vertex_handle v, const X_monotone_curve_2 &c1, const X_monotone_curve_2 &c2) |
splits a given edge into two at by the vertex v, and associate the x-monotone curves c1 and c2 with the resulting edges, such that c1 connects he->source() with v and c2 connects v with he->target(). More... | |
| Face_handle | remove_edge_ex (Halfedge_handle he, bool remove_source=true, bool remove_target=true) |
removes the edge he from the arrangement, such that if the edge removal causes the creation of a new hole (inner CCB), he->target() lies on the boundary of this hole. More... | |
| typedef unspecified_type CGAL::Arr_accessor< Arrangement >::Arrangement_2 |
the type of the associated arrangement.
| typedef Arrangement_2::Ccb_halfedge_circulator CGAL::Arr_accessor< Arrangement >::Ccb_halfedge_circulator |
represents the boundary of a connected component (CCB).
| typedef Arrangement_2::Point_2 CGAL::Arr_accessor< Arrangement >::Point_2 |
the point type.
| typedef Arrangement_2::X_monotone_curve_2 CGAL::Arr_accessor< Arrangement >::X_monotone_curve_2 |
the \( x\)-monotone curve type.
| CGAL::Arr_accessor< Arrangement >::Arr_accessor | ( | Arrangement_2 & | arr | ) |
constructs an accessor attached to the given arrangement arr.
| Vertex_handle CGAL::Arr_accessor< Arrangement >::create_vertex | ( | const Point_2 & | p | ) |
creates a new vertex an associates it with the point p.
p. | int CGAL::Arr_accessor< Arrangement >::halfedge_distance | ( | Halfedge_const_handle | e1, |
| Halfedge_const_handle | e2 | ||
| ) | const |
counts the number of edges along the path from e1 to e2.
In case the two halfedges do not belong to the same connected component, the function returns (-1).
| Halfedge_handle CGAL::Arr_accessor< Arrangement >::insert_at_vertices_ex | ( | const X_monotone_curve_2 & | c, |
| Halfedge_handle | pred1, | ||
| Halfedge_handle | pred2, | ||
| Comparison_result | res, | ||
| bool & | new_face | ||
| ) |
inserts the curve c into the arrangement, such that both c's endpoints correspond to existing arrangement vertices, given by pred1->target() and pred2->target().
res is the comparison result between these two end-vertices. The function creates a new halfedge pair that connects the two vertices (with pred1 and pred2 indicate the exact place for these halfedges around the two target vertices) and returns a handle for the halfedge directed from pred1->target() to pred2->target(). The output flag new_face indicates whether a new face has been created following the insertion of the new curve.
pred1->target() and pred2->target() are associated with c's endpoints and that if a new face is created, then is_inside_new_face (pred1, pred2, c) is true. | Halfedge_handle CGAL::Arr_accessor< Arrangement >::insert_from_vertex_ex | ( | const X_monotone_curve_2 & | c, |
| Halfedge_handle | pred, | ||
| Vertex_handle | v, | ||
| Comparison_result | res | ||
| ) |
inserts the curve c into the arrangement, such that one of its endpoints corresponds to an arrangement, which is the target vertex of the halfedge pred, such that c is inserted to the circular list of halfedges around pred->target() right between pred and its successor.
The other end-vertex is given by an isolated vertex v, where res is the comparison result between pred->target() and v. The function returns a handle for one of the new halfedges directed from pred->target() to v.
pred->target() and v are associated with c's endpoints and that and that v has no incident edges. | Halfedge_handle CGAL::Arr_accessor< Arrangement >::insert_in_face_interior_ex | ( | const X_monotone_curve_2 & | c, |
| Face_handle | f, | ||
| Vertex_handle | v1, | ||
| Vertex_handle | v2, | ||
| Comparison_result | res | ||
| ) |
inserts the curve c as a new inner CCBs (hole) of the face f, connecting the two isolated vertices v1 and v2.
res is the comparison result between these two end-vertices. The function returns a handle for one of the new halfedges corresponding to the inserted curve, directed from v1 to v2.
v1 and v2 are associated with c's endpoints, that they lie of f's interior and that and that they have no incident edges. | void CGAL::Arr_accessor< Arrangement >::insert_isolated_vertex | ( | Face_handle | f, |
| Vertex_handle | v | ||
| ) |
inserts v as an isolated vertex inside f.
v->point() is contained in the interior of the given face. | bool CGAL::Arr_accessor< Arrangement >::is_inside_new_face | ( | Halfedge_handle | pred1, |
| Halfedge_handle | pred2, | ||
| const X_monotone_curve_2 & | c | ||
| ) | const |
determines whether a new halfedge we are about to create, which is to be associated with the curve c and directed from pred1->target() to pred2->target(), lies on the inner CCB of the new face that will be created, introducing this new edge.
pred1->target() and pred2->target() are associated with c's endpoints.pred1 and pred2 belong to the same connected component, such that a new face is created by connecting pred1->target() and pred2->target(). | bool CGAL::Arr_accessor< Arrangement >::is_on_outer_boundary | ( | Halfedge_const_handle | he | ) | const |
determines whether he lies on the outer boundary of its incident face.
| Halfedge_handle CGAL::Arr_accessor< Arrangement >::modify_edge_ex | ( | Halfedge_handle | e, |
| const X_monotone_curve_2 & | c | ||
| ) |
modifies the \( x\)-monotone curve associated with the edge e (the curve c may be geometrically different than the one currently associated with e).
The function returns a handle to the modified edge (same as e).
c is disjoint from all existing arrangement vertices and edges. | Vertex_handle CGAL::Arr_accessor< Arrangement >::modify_vertex_ex | ( | Vertex_handle | v, |
| const Point_2 & | p | ||
| ) |
modifies the point associated with the vertex v (the point may be geometrically different than the one currently associated with v).
The function returns a handle to the modified vertex (same as v).
p.| void CGAL::Arr_accessor< Arrangement >::move_hole | ( | Face_handle | f1, |
| Face_handle | f2, | ||
| Ccb_halfedge_circulator | hole | ||
| ) |
moves the given hole (inner CCB) from the interior of the face f1 to the face f2.
hole is currently contained in f1 and should be moved to f2. | bool CGAL::Arr_accessor< Arrangement >::move_isolated_vertex | ( | Face_handle | f1, |
| Face_handle | f2, | ||
| Vertex_handle | v | ||
| ) |
moves the given isolated vertex from the interior of the face f1 inside the face f2.
v is indeed an isolated vertex currently contained in f1 and should be moved to f2. | bool CGAL::Arr_accessor< Arrangement >::point_is_in | ( | const Point_2 & | p, |
| Halfedge_const_handle | he | ||
| ) | const |
determines whether a given point lies within the region bounded by a boundary of the connected component that he belongs to.
Note that if the function returns true, then p is contained within he->face() (but not on its boundary), or inside one of the inner CCBs of this face, or it may coincide with an isolated vertex in this face.
| void CGAL::Arr_accessor< Arrangement >::relocate_holes_in_new_face | ( | Halfedge_handle | he | ) |
relocates all inner ccbs in a new face, as detailed above.
| void CGAL::Arr_accessor< Arrangement >::relocate_in_new_face | ( | Halfedge_handle | he | ) |
relocates all inner ccbs and isolated vertices to their proper position immediately after a face has split due to the insertion of a new halfedge, namely after insert_at_vertices_ex() was invoked and indicated that a new face has been created.
he is the halfegde returned by insert_at_vertices_ex(), such that he->twin()->face is the face that has just been split and he->face() is the newly created face.
| void CGAL::Arr_accessor< Arrangement >::relocate_isolated_vertices_in_new_face | ( | Halfedge_handle | he | ) |
relocates all isolated vertices in a new face, as detailed above.
| Face_handle CGAL::Arr_accessor< Arrangement >::remove_edge_ex | ( | Halfedge_handle | he, |
| bool | remove_source = true, |
||
| bool | remove_target = true |
||
| ) |
removes the edge he from the arrangement, such that if the edge removal causes the creation of a new hole (inner CCB), he->target() lies on the boundary of this hole.
The flags remove_source and remove_target indicate whether the end-vertices of he should be removed as well, in case they have no other incident edges. If the operation causes two faces to merge, the merged face is returned. Otherwise, the face to which the edge was incident is returned.
| Halfedge_handle CGAL::Arr_accessor< Arrangement >::split_edge_ex | ( | Halfedge_handle | he, |
| const Point_2 & | p, | ||
| const X_monotone_curve_2 & | c1, | ||
| const X_monotone_curve_2 & | c2 | ||
| ) |
splits a given edge into two at the split point p, and associate the x-monotone curves c1 and c2 with the resulting edges, such that c1 connects he->source() with p and c2 connects p with he->target().
The function return a handle to the split halfedge directed from he->source() to the split point p.
c1 and c2 correspond to p and to he's end-vertices, as indicated above. | Halfedge_handle CGAL::Arr_accessor< Arrangement >::split_edge_ex | ( | Halfedge_handle | he, |
| Vertex_handle | v, | ||
| const X_monotone_curve_2 & | c1, | ||
| const X_monotone_curve_2 & | c2 | ||
| ) |
splits a given edge into two at by the vertex v, and associate the x-monotone curves c1 and c2 with the resulting edges, such that c1 connects he->source() with v and c2 connects v with he->target().
The function return a handle to the split halfedge directed from he->source() to v.
c1 and c2 correspond to v and to he's end-vertices, as indicated above. It is also assumed that v has no incident edges. 
1.8.13