EnvelopeDiagramEdge

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EnvelopeDiagramEdge

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.

Types

EnvelopeDiagramEdge::Size
	the size type (convertible to size_t).

EnvelopeDiagramEdge::Vertex
	the corresponding diagram-vertex type.

EnvelopeDiagramEdge::X_monotone_curve_2
	the x-monotone curve type.

Creation

EnvelopeDiagramEdge e;
	default constructor.

EnvelopeDiagramEdge e ( other);
	copy constructor.

Access Functions

Size

e.number_of_curves ()

returns the number of

x-monotone curves associated with e.

bool

e.is_empty ()

returns whether e represents an empty interval - namely, whether the set of

x-monotone curves associated with it is empty.

X_monotone_curve_2

e.curve ()

returns a representative

x-monotone curve associated with e.

Precondition:

e does not represent an empty interval.

Curve_const_iterator

e.curves_begin ()

return an iterator for the first

x-monotone curve associated with e.

Curve_const_iterator

e.curves_end ()

return a past-the-end iterator for the

x-monotone curves associated with e.

Vertex_const_handle

e.left ()

returns the vertex lying to e's left.

Precondition:

e is not the leftmost edge in the diagram.

Vertex_const_handle

e.right ()

returns the vertex lying to e's right.

Precondition:

e is not the rightmost edge in the diagram.

Modifiers

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