#include <CGAL/Arr_polycurve_traits_2.h>

Definition

The Curve_2 type nested in the Arr_polycurve_traits_2 represents general continuous piecewise-linear subcurves (a polycurve can be self-intersecting) and support their construction from range of subcurves.

Construction of polycurves in various ways is supported using the construction functors. It is strongly recommended to avoid construction of Curve_2 objects directly and prefer the usage of the construction functors. The type Curve_2 has two template parameters, namely SubcurveType_2 and PointType_2, which are SubcurveTraits_2::Curve_2 and SubcurveTraits_2::Point_2 types. Thus, in general, the subcurves that a Curve_2 instance comprises could be either \(x\)-monotone or not!

The copy and default constructor as well as the assignment operator are provided for polycurve subcurves. In addition, an operator<< for the subcurves is defined for standard output streams, and an operator>> for the subcurves is defined for standard input streams.

Types
typedef std::vector< Subcurve_2 >	Subcurves_container
	The container of the subcurves that comprises the polycurve.

typedef Subcurves_container::size_type	Size
	The size of the container that comprises the polycurve.

typedef Subcurves_container::size_type	size_type

typedef unspecified_type	const_iterator

typedef unspecified_type	const_reverse_iterator

typedef unspecified_type	Subcurve_const_iterator
	A bidirectional constant iterator that allows traversing the subcurves that comprise the polycurve.

typedef unspecified_type	Subcurve_const_reverse_iterator
	A bidirectional constant iterator that allows traversing the subcurves that comprise the polycurve.

Creation
	Curve_2 ()
	Default constructor that constructs an empty polycurve.

	Curve_2 (const Subcurve_2 subcurve)
	Construct a polycurve from one subcurve.

template<typename InputIterator >
	Curve_2 (Iterator first, Iterator last)
	Construct a polycurve defined by the given range of subcurves `[first, last)` (the value-type of `InputIterator` must be `SubcurveTraits_2::Curve_2`. More...

Access Functions
unsigned_int	points () const

const_iterator	begin () const

Subcurve_const_iterator	begin_subcurves () const
	Obtain an iterator pointing at the first subcurve of the polycurve.

const_iterator	end () const

Subcurve_const_iterator	end_subcurves () const
	Get an iterator pointing at the past-the-end subcurve of the polycurve.

const_iterator	rbegin () const

Subcurve_const_reverse_iterator	rbegin_subcurves () const
	Obtain an iterator pointing at the last subcurve of the polycurve.

const_iterator	rend () const

Subcurve_const_reverse_iterator	rend_subcurves () const
	Obtain an iterator pointing at the past-the-end subcurve of the polycurve in reverse order.

size_type	size () const

size_type	number_of_subcurves () const
	Obtain the number of subcurves that comprise the polycurve.

SubcurveTraits_2::X_monotone_curve_2	operator[] (size_t k) const
	Obtain the \( k\)th subcurve of the polycurve. More...

Bbox_2	bbox () const
	Obtain the bounding box of the polycurve.

Operations
void	push_back (const Subcurve_2 &subcurve)
	Append a subcurve to the polycurve at the back. More...

void	push_front (const Subcurve_2 &subcurve)
	Append a subcurve to the polycurve at the front. More...

void	push_back (const Point_2 &p)

void	clear ()
	Reset the polycurve.

Member Typedef Documentation

◆ const_iterator

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

typedef unspecified_type CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::const_iterator

Deprecated:: A bidirectional iterator that allows traversing the points that comprise a polycurve's subcurves.

◆ const_reverse_iterator

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

typedef unspecified_type CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::const_reverse_iterator

Deprecated:: A bidirectional iterator that allows traversing the points that comprise a polycurve's subcurves.

Constructor & Destructor Documentation

◆ Curve_2()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

template<typename InputIterator >

CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::Curve_2	(	Iterator	first,
		Iterator	last
	)

Construct a polycurve defined by the given range of subcurves [first, last) (the value-type of InputIterator must be SubcurveTraits_2::Curve_2.

In general, the subcurves might not be \(x\)-monotone, furthermore, they might not form a continuous polycurve.

Precondition: The subcurves in the range should form a continuous and well-oriented polycurve.

Deprecated:: For backwards compatibility, it is possible to call this constructor with a range whose value-type is SubcurveTraits_2::Point_2. In this case, the constructed polycurve will concatenate the \(n\)th point with the \((n+1)\)-st point in the range (using a SubcurveTraits_2::Subcurve_2's). This functionality is deprecated. Instead use the Construct_curve_2 functors.

Member Function Documentation

◆ begin()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

const_iterator CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::begin ( ) const

Deprecated:: Obtain an iterator pointing at the source point of the polycurve.

◆ end()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

const_iterator CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::end ( ) const

Deprecated:: Obtain an iterator pointing after the end of the polycurve.

◆ operator[]()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

SubcurveTraits_2::X_monotone_curve_2 CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::operator[] ( size_t k ) const

Obtain the \( k\)th subcurve of the polycurve.

Precondition: \(k\) is not greater than or equal to \(n-1\), where \(n\) is the number of subcurves.

◆ points()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

unsigned_int CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::points ( ) const

Deprecated:: Obtain the number of subcurve end-points that comprise the polycurve.

Note that for a bounded polycurve, if there are \( n\) points in the polycurve, it comprises \( (n - 1)\) subcurves. Currently, only bounded polycurves are supported.

◆ push_back() [1/2]

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

void CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::push_back ( const Subcurve_2 & subcurve )

Append a subcurve to the polycurve at the back.

Warning: This function does not preform the precondition test that the Push_back_2 functor does. Thus, it is recommended to use the latter.

Parameters

subcurve The new subcurve to be appended to the polycurve.

Precondition: If the polycurve is not empty, the source of subcurve must coincide with the target point of the last subcurve in the polycurve.

◆ push_back() [2/2]

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

void CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::push_back ( const Point_2 & p )

Deprecated:: Add a new point to the polycurvs, which becomes the new target point of pi.

Precondition: SubcurveTraits_2 is a model of ArrangementConstructXMonotoneCurveTraits_2.

◆ push_front()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

void CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::push_front ( const Subcurve_2 & subcurve )

Append a subcurve to the polycurve at the front.

Warning: This is a risky function! Don't use it! Prefer the corresponding functor which is provided in the traits class.

Parameters

subcurve The new subcurve to be appended to the polycurve.

Precondition: If the polycurve is not empty, the target of subcurve must coincide with the source point of the first subcurve in the polycurve.

◆ rbegin()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

const_iterator CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::rbegin ( ) const

Deprecated:: Obtain an iterator pointing at the target point of the polycurve.

◆ rend()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

const_iterator CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::rend ( ) const

Deprecated:: Obtain an iterator pointing before the beginning of the polycurve.

◆ size()

template<typename SubcurveTraits_2>

template<typename SubcurveType_2 , typename PointType_2 >

size_type CGAL::Arr_polycurve_traits_2< SubcurveTraits_2 >::Curve_2< SubcurveType_2, PointType_2 >::size ( ) const

Deprecated:: Obtain the number of subcurves composing the polycurve (equivalent to pi.points() - 1).

Was replaced by number_of_subcurves()

Definition

Types

Creation

Access Functions

Operations

Member Typedef Documentation

◆ const_iterator

◆ const_reverse_iterator

Constructor & Destructor Documentation

◆ Curve_2()

Member Function Documentation

◆ begin()

◆ end()

◆ operator[]()

◆ points()

◆ push_back() [1/2]

◆ push_back() [2/2]

◆ push_front()

◆ rbegin()

◆ rend()

◆ size()