Disc2 Class Reference

A disc in two dimensions. More...

#include <circle.h>

Inheritance diagram for Disc2:

Public Member Functions
	Disc2 ()
	Empty.
	Disc2 (const double &)
	Creates a disc. More...
	Disc2 (const Circle2 &)
	Creates a disc. More...
	Disc2 (const Vector2 &, const double &)
	Creates a disc. More...
	Disc2 (const Vector2 &, const Vector2 &, const Vector2 &)
	Creates a disc given three vertices. More...
	~Disc2 ()
	Empty.
double	R (const Vector2 &) const
	Computes the distance between a point and the disc. More...
double	Signed (const Vector2 &) const
	Computes the signed distance between a point and the disc. More...
Vector2	Normal (const Vector2 &) const
	Computes the distance vector between a disc and a point. More...
Public Member Functions inherited from Circle2
	Circle2 ()
	Empty.
	Circle2 (const double &)
	Create a circle centered at origin. More...
	Circle2 (const Vector2 &, const double &)
	Create a circle. More...
	Circle2 (const Vector2 &, const Vector2 &, const Vector2 &)
	Create the circle passing through 3 points. More...
	Circle2 (Vector2 *, int)
	Creates a circle enclosing a set of points. More...
bool	Inside (const Vector2 &) const
	Check if a point is inside the circle. More...
bool	Inside (const Circle2 &) const
	Test if a circle is entirely embedded in another one. More...
bool	Inside (const Box2 &) const
	Test if a box is inside the circle. More...
bool	InsideRange (const Vector2 &, const double &) const
	Check if a point is within a given range of the circle. More...
Vector2	Center () const
	Center of the circle.
Vector2	Vertex (const double &) const
	Vertex on the circle. More...
double	Radius () const
	Radius of the circle.
void	Extend (const Vector2 &)
	Extend the circle so that the argument point should be embedded in the new circle. More...
Circle2	Extended (const double &) const
	Extend the radius of the circle. More...
bool	Intersect (const Box2 &) const
	Check intersection with a box. More...
bool	Intersect (const Circle2 &) const
	Check if two circles intersect each other. More...
bool	Intersect (const Ray2 &, double &, double &) const
	Check the intersection between a circle and a ray. More...
bool	Intersect (const Ray2 &) const
	Check the intersection between a circle and a ray. More...
bool	Intersect (const Segment2 &) const
	Check the intersection between a circle and a segment. More...
Vector2	Normal (const Vector2 &) const
	Compute the distance vector between a ciecle. More...
double	R (const Vector2 &) const
	Compute the squared distance between a point and the circle. More...
Box2	GetBox () const
	Compute the axis aligned bounding box of a circle.
Circle2	Translated (const Vector &) const
	Translate a circle. More...
Circle2	Rotated (const Matrix2 &) const
	Rotates a circle. More...
void	Translate (const Vector2 &)
	Translate a circle. More...
void	Rotate (const Matrix2 &)
	Rotates a circle. More...
void	Scale (const double &)
	Scales a circle. More...
double	Area () const
	Area of the circle.
double	Area (const Circle2 &) const
	Compute the area of the surface between two circles. More...
Vector2	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the circle. More...
Vector2	RandomOn (Random &=Random::R239) const
	Generate a random vector on the circle. More...
QVector< Vector2 >	Poisson (const double &, int, bool=false, Random &=Random::R239) const
	Compute a Poisson sphere distribution inside a circle. More...
QuadricCurve2	QuadricBezierArc (const double &) const
	Compute the quadratic Bézier approximation of a circle arc. More...
CubicCurve2	CubicBezierArc (const double &) const
	Compute the cubic Bézier approximation of a circle arc. More...
void	Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const
	Draw a circle. More...

Friends
std::ostream &	operator<< (std::ostream &, const Disc2 &)
	Overloaded. More...

Additional Inherited Members
Static Public Member Functions inherited from Circle2
static Vector2	RandomUnit (Random &=Random::R239)
	Compute a random vertex inside a unit disc. More...
Static Public Attributes inherited from Circle2
static const Circle2	Unit
	Unit circle.
static const Circle2	Infinite
	Infinite circle.
Protected Attributes inherited from Circle2
Vector2	c = Vector2::Null
	Center.
double	r = 1.0
	Radius.
Static Protected Attributes inherited from Circle2
static constexpr const double	Epsilon = 1.e-6
	Epslion for intersection tests

Detailed Description

A disc in two dimensions.

Discs in the plane derive from Circle2, and only reimplement a few functions, such as Disc2::R() and Disc2::Normal().

Constructor & Destructor Documentation

Disc2() [1/4]

Disc2::Disc2 ( const double &  r )

explicit

Creates a disc.

Parameters

r

Radius.

Disc2() [2/4]

Disc2::Disc2 ( const Circle2 &  circle )

explicit

Creates a disc.

Parameters

circle

Circle.

Disc2() [3/4]

Disc2::Disc2 ( const Vector2 &  c, const double &  r  )

explicit

Creates a disc.

Parameters

c	Center.
r	Radius.

Disc2() [4/4]

Disc2::Disc2 ( const Vector2 &  x, const Vector2 &  y, const Vector2 &  z  )

explicit

Creates a disc given three vertices.

Basically set the center to the center of the triangle, and compute the radius.

Parameters

x,y,z

Argument vertices

Member Function Documentation

Normal()

Vector2 Disc2::Normal

(

const Vector2 &

p

)

const

Computes the distance vector between a disc and a point.

Parameters

p

Point.

R()

double Disc2::R

(

const Vector2 &

p

)

const

Computes the distance between a point and the disc.

Parameters

p

Point.

Signed()

double Disc2::Signed

(

const Vector2 &

p

)

const

Computes the signed distance between a point and the disc.

Parameters

p

Point.

Friends And Related Function Documentation

operator<<

std::ostream & operator<< ( std::ostream &  s, const Disc2 &  disc  )

friend

Overloaded.

Parameters

s	Stream.
disc	The disc.