Line2 Class Reference

Lines in the plane. More...

#include <segment.h>

Public Member Functions
	Line2 ()
	Direction.
	Line2 (const Vector2 &, const Vector2 &)
	Creates a line in the plane.
	Line2 (const Segment2 &)
	Creates a line from a segment.
Vector2	Point () const
	Return one of the vertices of the line.
Vector2	Direction () const
	Return the direction of the line.
bool	Intersection (const Line2 &, Vector2 &) const
	Compute the intersection between two lines.
bool	Intersection (const Segment2 &, Vector2 &) const
	Compute the intersection between a line and a segment.
Vector2	Symmetry (const Vector2 &) const
	Compute the point symmetric to the line.
Box2	Symmetry (const Box2 &) const
	Compute the box bounding the box symmetric to the line.
Circle2	Symmetry (const Circle2 &) const
	Compute the circle symmetric to the line.
void	Translate (const Vector2 &)
	Translation.
double	R (const Vector2 &) const
	Compute the squared distance to the line.
bool	IsLeftOrOn (const Vector2 &, const double &=0.0) const
	Compute the position of a point with respect to a line.
bool	IsRightOrOn (const Vector2 &, const double &=0.0) const
	Compute the position of a point with respect to a line.

Static Public Attributes
static const Line2	X
	Horizontal.
static const Line2	Y
	Vertical.

Protected Attributes
Vector2	n = Vector2::X
	Vertex.

Detailed Description

Lines in the plane.

Lines implicitly define half spaces in the plane. The corresponding positive half-space is in the direction orthogonal to the direction of the line.

See also

Segment2

Constructor & Destructor Documentation

Line2() [1/3]

Line2::Line2 ( )

inline

Direction.

Empty

Line2() [2/3]

Line2::Line2 ( const Vector2 & o, const Vector2 & d )

explicit

Creates a line in the plane.

Parameters

o	Origin.
d	Direction.

Line2() [3/3]

Line2::Line2 ( const Segment2 & s )

explicit

Creates a line from a segment.

Parameters

s

Segment.

Member Function Documentation

Intersection() [1/2]

bool Line2::Intersection	(	const Line2 &	l,
		Vector2 &	p ) const

Compute the intersection between two lines.

Note that the algorithm is the same as for segments, except that the range of the intersection parameters is not checked.

Parameters

l	Other line.
p	Intersection point.

Intersection() [2/2]

bool Line2::Intersection	(	const Segment2 &	e,
		Vector2 &	p ) const

Compute the intersection between a line and a segment.

Note that the algorithm is the same as for segments, except that the range of the intersection parameters is checked only for the segment.

Parameters

e	Segment.
p	Intersection point.

IsLeftOrOn()

bool Line2::IsLeftOrOn	(	const Vector2 &	p,
		const double &	epsilon = 0.0 ) const

Compute the position of a point with respect to a line.

Parameters

p	Point
epsilon	Precision.

IsRightOrOn()

bool Line2::IsRightOrOn	(	const Vector2 &	p,
		const double &	epsilon = 0.0 ) const

Compute the position of a point with respect to a line.

Parameters

p	Point
epsilon	Precision.

R()

double Line2::R

(

const Vector2 &

p

)

const

Compute the squared distance to the line.

Parameters

p

Point.

Symmetry() [1/3]

Box2 Line2::Symmetry

(

const Box2 &

box

)

const

Compute the box bounding the box symmetric to the line.

Parameters

box

The box.

Symmetry() [2/3]

Circle2 Line2::Symmetry

(

const Circle2 &

c

)

const

Compute the circle symmetric to the line.

Parameters

c

Circle.

Symmetry() [3/3]

Vector2 Line2::Symmetry

(

const Vector2 &

p

)

const

Compute the point symmetric to the line.

Parameters

p

Point.

Translate()

void Line2::Translate

(

const Vector2 &

t

)

Translation.

Parameters

t	Translation vector.