EnvelopeDiagramVertex Concept Reference

Definition

A vertex record in an envelope diagram. It is always associated with a point on the lower (upper) envelope of a non-empty set of curves. A vertex is also associated with a set of \( x\)-monotone curves that induce the envelope over this point. It is incident to two edges, one lying to its left and the other to its right.

See also

EnvelopeDiagram_1

EnvelopeDiagramEdge

Types
typedef unspecified_type	Size
	the size type (convertible to size_t).
typedef unspecified_type	Edge
	the corresponding diagram-edge type.
typedef unspecified_type	Point_2
	the point type associated with the vertex.
typedef unspecified_type	X_monotone_curve_2
	the \( x\)-monotone curve type.

Creation
	EnvelopeDiagramVertex ()
	default constructor.
	EnvelopeDiagramVertex (const EnvelopeDiagramVertex &other)
	copy constructor.
	EnvelopeDiagramVertex (const Point_2 &p)
	constructs a vertex associated with the given point p.

Access Functions
const Point_2 &	point () const
	returns the point associated with v.
Size	number_of_curves () const
	returns the number of \( x\)-monotone curves associated with v.
Curve_const_iterator	curves_begin () const
	returns an iterator for the first \( x\)-monotone curve associated with v.
Curve_const_iterator	curves_end () const
	returns a past-the-end iterator for the \( x\)-monotone curves associated with v.
Edge_const_handle	left () const
	returns the edge lying to v's left.
Edge_const_handle	right () const
	returns the edge lying to v's right.

Modifiers
void	set_point (const Point_2 &p)
	associates the point p with v.
void	clear_curves ()
	clears the set of curves associated with v.
void	add_curve (const X_monotone_curve_2 &cv)
	adds the \( x\)-monotone curve cv to the set of curves associated with v.
void	add_curves (Curve_const_iterator begin, Curve_const_iterator end)
	adds the given range of \( x\)-monotone curves to the set of curves associated with v.
void	set_left (Edge_const_handle e)
	sets the edge lying to the left of v to be e.
void	set_right (Edge_const_handle e)
	sets the edge lying to the right of v to be e.