Disc Class Reference

A disc in three dimensions. More...

#include <circle.h>

Inheritance diagram for Disc:

Public Member Functions
	Disc ()
	Empty.
	Disc (const double &)
	Creates a horizontal disc centered at origin.
	Disc (const Vector &, const Vector &, const double &)
	Creates a disc.
	Disc (const Vector &, const Vector &, const Vector &)
	Creates a disc given three vertices.
	~Disc ()
	Empty.
double	R (const Vector &) const
	Computes the distance between a point and the disc.
double	Signed (const Vector &) const
	Computes the (positive) signed distance between a point and the disc.
Vector	Normal (const Vector &) const
	Computes the distance vector between a disc and a point.
Public Member Functions inherited from Circle
	Circle ()
	Empty.
	Circle (const double &)
	Creates a circle.
	Circle (const Vector &, const Vector &, const double &)
	Creates a circle.
	Circle (const Vector &, const Vector &, const Vector &)
	Creates a circle given three vertices.
	~Circle ()
	Empty.
bool	Intersect (const Ray &, double &) const
	Compute the ray-disc intersection.
Vector	Center () const
	Gets the center of a circle.
Vector	Axis () const
	Axis of the circle.
double	Radius () const
	Radius of the circle.
double	R (const Vector &) const
	Compute the distance between a point and a circle.
Vector	Normal (const Vector &) const
	Computes the distance vector between a circle and a point.
void	Rotate (const Matrix &)
	Rotates a circle.
void	Translate (const Vector &)
	Translates a circle.
void	Scale (const double &)
	Uniformly scales a circle.
Box	GetBox () const
	Compute the axis aligned bounding box of a circle.
double	Area () const
	Area of a circle.
Vector	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the circle.
Vector	RandomOn (Random &=Random::R239) const
	Generate a random vector on the circle.
Vector	Vogel (int, int) const
	Generate a spiraling vector in the disc.

Additional Inherited Members
Static Public Member Functions inherited from Circle
static double	Area (const double &)
	Area of a circle given its radius.
Protected Attributes inherited from Circle
Vector	c = Vector::Null
	Center of the circle.
Vector	axis = Vector::Z
	Axis.
double	r = 1.0
	Radius.
Static Protected Attributes inherited from Circle
static constexpr const double	epsilon = 1.0e-10
	Internal epsilon constant.

Detailed Description

A disc in three dimensions.

Discs derive from Circle, and only reimplement a few functions, such as Disc::R().

Constructor & Destructor Documentation

Disc() [1/3]

Disc::Disc ( const double & r )

explicit

Creates a horizontal disc centered at origin.

Parameters

r

Radius.

Disc() [2/3]

Disc::Disc ( const Vector & c, const Vector & axis, const double & r )

explicit

Creates a disc.

Parameters

c	Center.
axis	Axis, which should be normalized.
r	Radius.

Disc() [3/3]

Disc::Disc ( const Vector & x, const Vector & y, const Vector & 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()

Vector Disc::Normal

(

const Vector &

p

)

const

Computes the distance vector between a disc and a point.

This function implicitly projects the point in the plane of the circle and computes the distance to the disc in its plane, before adding the extra term along the normal.

Parameters

p

Point.

R()

double Disc::R

(

const Vector &

p

)

const

Computes the distance between a point and the disc.

Cost: 10 +, 8 *, 1 sqrt()

Parameters

p

Point.

Signed()

double Disc::Signed

(

const Vector &

p

)

const

Computes the (positive) signed distance between a point and the disc.

Cost: 10 +, 8 *, 2 sqrt()

Parameters

p

Point.