Annulus2 Class Reference

An annulus, the region between two concentric circles. More...

#include <annulus.h>

Public Member Functions
	Annulus2 ()
	Empty.
	Annulus2 (const double &, const double &)
	Creates a annulus.
	Annulus2 (const Vector2 &, const double &, const double &)
	Creates a annulus.
	Annulus2 (const Circle2 &, const double &)
	Creates a annulus.
	~Annulus2 ()
	Empty.
Box2	GetBox () const
	Bounding box.
Vector2	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the region between the two concentric circles.
double	Area () const
	Area.
double	R (const Vector2 &) const
	Compute the squared distance to a point.
double	Signed (const Vector2 &) const
	Compute the squared distance to a point.
Vector2	Normal (const Vector2 &) const
	Computes the distance vector between a hexagon and a point.
int	Intersect (const Ray2 &, double *) const
	Compute the intersection with a ray.
bool	Inside (const Vector2 &) const
	Check if a point is inside.
void	Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const
	Draw the shape.

Protected Attributes
Vector2	c = Vector2::Null
	Center of the circle.
double	re = 1.0
	Interior and exterior radii.

Static Protected Attributes
static constexpr const double	Epsilon = 1.e-6
	Epslion for intersection tests

Detailed Description

An annulus, the region between two concentric circles.

Constructor & Destructor Documentation

Annulus2() [1/3]

Annulus2::Annulus2 ( const double & re, const double & ri )

explicit

Creates a annulus.

Parameters

re,ri

Exterior and interior Radii.

Annulus2() [2/3]

Annulus2::Annulus2 ( const Vector2 & c, const double & re, const double & ri )

explicit

Creates a annulus.

Parameters

c	Center.
re,ri	Exterior and interior radii, exterior should be greater.

Annulus2() [3/3]

Annulus2::Annulus2 ( const Circle2 & c, const double & ri )

explicit

Creates a annulus.

Parameters

c	Circle, its radius should be greater than the interior radius.
ri	Interior Radius.

Member Function Documentation

Draw()

void Annulus2::Draw	(	QGraphicsScene &	scene,
		const QPen &	pen = QPen(),
		const QBrush &	brush = QBrush() ) const

Draw the shape.

Parameters

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

Inside()

bool Annulus2::Inside

(

const Vector2 &

p

)

const

Check if a point is inside.

Parameters

p

Point.

Intersect()

int Annulus2::Intersect	(	const Ray2 &	ray,
		double *	t ) const

Compute the intersection with a ray.

Parameters

ray	The ray.
t	Set of intersections.

Normal()

Vector2 Annulus2::Normal

(

const Vector2 &

p

)

const

Computes the distance vector between a hexagon and a point.

Parameters

p

Point.

R()

double Annulus2::R

(

const Vector2 &

p

)

const

Compute the squared distance to a point.

Parameters

p

Point.

RandomInside()

Vector2 Annulus2::RandomInside

(

Random &

random = Random::R239

)

const

Generate a random vector inside the region between the two concentric circles.

Parameters

random

Random number generator.

Signed()

double Annulus2::Signed

(

const Vector2 &

p

)

const

Compute the squared distance to a point.

Parameters

p

Point.