EnvelopeDiagramVertex

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EnvelopeDiagramVertex

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.

Types

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

EnvelopeDiagramVertex::Edge
	the corresponding diagram-edge type.

EnvelopeDiagramVertex::Point_2
	the point type associated with the vertex.
EnvelopeDiagramVertex::X_monotone_curve_2
	the x-monotone curve type.

Creation

EnvelopeDiagramVertex v;
	default constructor.

EnvelopeDiagramVertex v ( other);
	copy constructor.

EnvelopeDiagramVertex v ( Point_2 p);
	constructs a vertex associated with the given point p.

Access Functions

Point_2	v.point ()	returns the point associated with v.

Size	v.number_of_curves ()	returns the number of x-monotone curves associated with v.

Curve_const_iterator	v.curves_begin ()	return an iterator for the first x-monotone curve associated with v.
Curve_const_iterator	v.curves_end ()	return a past-the-end iterator for the x-monotone curves associated with v.

Edge_const_handle	v.left ()	returns the edge lying to v's left.
Edge_const_handle	v.right ()	returns the edge lying to v's right.

Modifiers

void	v.set_point ( Point_2 p)	associates the point p with v.

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

EnvelopeDiagramVertex

Definition

Types

Creation

Access Functions

Modifiers

See Also