EnvelopeDiagramEdge Concept Reference

Definition

An edge record in an envelope diagram, which represents a continuous portion of the \( x\)-axis. It is associated with a (possibly empty) set of curves that induce the envelope over this portion of the \( x\)-axis. Note that all curves in this set overlap over the interval represented by the edge.

See Also

EnvelopeDiagram_1

EnvelopeDiagramVertex

Types
typedef unspecified_type	Size
	the size type (convertible to size_t).
typedef unspecified_type	Vertex
	the corresponding diagram-vertex type.
typedef unspecified_type	X_monotone_curve_2
	the \( x\)-monotone curve type.

Creation
	EnvelopeDiagramEdge ()
	default constructor.
	EnvelopeDiagramEdge (const EnvelopeDiagramEdge &other)
	copy constructor.

Access Functions
Size	number_of_curves () const
	returns the number of \( x\)-monotone curves associated with e.
bool	is_empty () const
	returns whether e represents an empty interval - namely, whether the set of \( x\)-monotone curves associated with it is empty.
const X_monotone_curve_2 &	curve () const
	returns a representative \( x\)-monotone curve associated with e. More...
Curve_const_iterator	curves_begin () const
	returns an iterator for the first \( x\)-monotone curve associated with e.
Curve_const_iterator	curves_end () const
	returns a past-the-end iterator for the \( x\)-monotone curves associated with e.
Vertex_const_handle	left () const
	returns the vertex lying to e's left. More...
Vertex_const_handle	right () const
	returns the vertex lying to e's right. More...

Modifiers
void	clear_curves ()
	clears the set of curves associated with e.
void	add_curve (const X_monotone_curve_2 &cv)
	adds the \( x\)-monotone curve cv to the set of curves associated with e.
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 e.
void	set_left (Vertex_const_handle v)
	sets the vertex lying to the left of e to be v.
void	set_right (Vertex_const_handle v)
	sets the vertex lying to the right of e to be v.

Member Function Documentation

const X_monotone_curve_2& EnvelopeDiagramEdge::curve

(

)

const

returns a representative \( x\)-monotone curve associated with e.

Precondition

e does not represent an empty interval.

Vertex_const_handle EnvelopeDiagramEdge::left

(

)

const

returns the vertex lying to e's left.

Precondition

e is not the leftmost edge in the diagram.

Vertex_const_handle EnvelopeDiagramEdge::right

(

)

const

returns the vertex lying to e's right.

Precondition

e is not the rightmost edge in the diagram.