Rectangles2 Class Reference

Rectangles in the plane. More...

#include <rectangle.h>

Public Member Functions
	Rectangles2 ()
	Empty.
	Rectangles2 (const Vector2 &, const Vector2 &, const double &, const double &)
	Create a rectangle in the xy-plane, centered at the origin.
	Rectangles2 (const Box2 &)
	Create a rectangle from a box.
	~Rectangles2 ()
	Empty.
Vector2	Vertex (int) const
	Returns the k-th vertex of the rectangle.
double	Width () const
	Return the width.
double	Height () const
	Return the height.
double	R (const Vector2 &) const
	Compute the squared distance between a point and the rectangle.
Vector2	Normal (const Vector2 &) const
	Compute the vector distance between the box and a point.
Box2	GetBox () const
	Compute the embedding box.
Rectangles	ToRectangles () const
	Convert to a rectangle.
bool	Intersect (const Circle2 &) const
	Check the interscetion with a circle.
bool	Intersect (const Rectangles2 &) const
	Check the intersection with another rectangle.
void	Rotate (const Matrix2 &)
	Rotate the rectangle.
void	Translate (const Vector2 &)
	Translate the rectangle.
void	Scale (const double &)
	Scale the rectangle.
Rectangles2	Transformed (const Frame2 &) const
	Return a rectangle transformed by a frame.
QPolygonF	GetQt () const
	Convert the rectangle into a Qt polygon.
void	Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const
	Draw a polygon.

Protected Member Functions
bool	Overlap (const Rectangles2 &) const
	Overlapping test for intersection algorithm.

Protected Attributes
Vector2	x = Vector2::X
	Base horizontal vector.
Vector2	c = Vector2::Null
	Center.
double	b = 1.0
	Width and height.

Static Protected Attributes
static double	epsilon = 1.0e-8
	Internal \epsilon; constant.

Detailed Description

Rectangles in the plane.

Constructor & Destructor Documentation

Rectangles2() [1/2]

Rectangles2::Rectangles2 ( const Vector2 & c, const Vector2 & x, const double & a, const double & b )

explicit

Create a rectangle in the xy-plane, centered at the origin.

Parameters

c	Center.
x	Base vector.
a,b	Size, the rectangle will be twice as large.

Rectangles2() [2/2]

Rectangles2::Rectangles2 ( const Box2 & box )

explicit

Create a rectangle from a box.

Parameters

box

The box.

Member Function Documentation

Draw()

void Rectangles2::Draw	(	QGraphicsScene &	scene,
		const QPen &	pen = QPen(),
		const QBrush &	brush = QBrush() ) const

Draw a polygon.

Parameters

scene	Graphics scene.
pen	The pen.
brush	The brush.

Intersect() [1/2]

bool Rectangles2::Intersect

(

const Circle2 &

circle

)

const

Check the interscetion with a circle.

Parameters

circle

The circle.

Intersect() [2/2]

bool Rectangles2::Intersect

(

const Rectangles2 &

rectangle

)

const

Check the intersection with another rectangle.

Parameters

rectangle

The rectangle.

Normal()

Vector2 Rectangles2::Normal

(

const Vector2 &

p

)

const

Compute the vector distance between the box and a point.

Parameters

p

Point.

Overlap()

bool Rectangles2::Overlap ( const Rectangles2 & other ) const

protected

Overlapping test for intersection algorithm.

Parameters

other

Other rectangle.

R()

double Rectangles2::R

(

const Vector2 &

p

)

const

Compute the squared distance between a point and the rectangle.

Parameters

p

Point.

Rotate()

void Rectangles2::Rotate

(

const Matrix2 &

r

)

Rotate the rectangle.

Parameters

r	Rotation matrix.

Scale()

void Rectangles2::Scale

(

const double &

s

)

Scale the rectangle.

Parameters

s	Scaling factor.

Transformed()

Rectangles2 Rectangles2::Transformed

(

const Frame2 &

f

)

const

Return a rectangle transformed by a frame.

Parameters

f	Transformation.

Translate()

void Rectangles2::Translate

(

const Vector2 &

t

)

Translate the rectangle.

Parameters

t	Translation vector.

Vertex()

Vector2 Rectangles2::Vertex ( int k ) const

inline

Returns the k-th vertex of the rectangle.

Parameters

k

Index.

See also

Box2::Vertex(int) const