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). More...
typedef unspecified_type	Edge
	the corresponding diagram-edge type. More...
typedef unspecified_type	Point_2
	the point type associated with the vertex. More...
typedef unspecified_type	X_monotone_curve_2
	the \( x\)-monotone curve type. More...

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

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

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

Member Typedef Documentation

typedef unspecified_type EnvelopeDiagramVertex::Edge

the corresponding diagram-edge type.

typedef unspecified_type EnvelopeDiagramVertex::Point_2

the point type associated with the vertex.

typedef unspecified_type EnvelopeDiagramVertex::Size

the size type (convertible to size_t).

typedef unspecified_type EnvelopeDiagramVertex::X_monotone_curve_2

the \( x\)-monotone curve type.

Constructor & Destructor Documentation

EnvelopeDiagramVertex::EnvelopeDiagramVertex

(

)

default constructor.

EnvelopeDiagramVertex::EnvelopeDiagramVertex

(

const EnvelopeDiagramVertex &

other

)

copy constructor.

EnvelopeDiagramVertex::EnvelopeDiagramVertex

(

const Point_2 &

p

)

constructs a vertex associated with the given point p.

Member Function Documentation

void EnvelopeDiagramVertex::add_curve

(

const X_monotone_curve_2 &

cv

)

adds the \( x\)-monotone curve cv to the set of curves associated with v.

void EnvelopeDiagramVertex::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 EnvelopeDiagramVertex::clear_curves

(

)

clears the set of curves associated with v.

Curve_const_iterator EnvelopeDiagramVertex::curves_begin

(

)

const

returns an iterator for the first \( x\)-monotone curve associated with v.

Curve_const_iterator EnvelopeDiagramVertex::curves_end

(

)

const

returns a past-the-end iterator for the \( x\)-monotone curves associated with v.

Edge_const_handle EnvelopeDiagramVertex::left

(

)

const

returns the edge lying to v's left.

Size EnvelopeDiagramVertex::number_of_curves

(

)

const

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

const Point_2& EnvelopeDiagramVertex::point

(

)

const

returns the point associated with v.

Edge_const_handle EnvelopeDiagramVertex::right

(

)

const

returns the edge lying to v's right.

void EnvelopeDiagramVertex::set_left

(

Edge_const_handle

e

)

sets the edge lying to the left of v to be e.

void EnvelopeDiagramVertex::set_point

(

const Point_2 &

p

)

associates the point p with v.

void EnvelopeDiagramVertex::set_right

(

Edge_const_handle

e

)

sets the edge lying to the right of v to be e.