CircleArc Class Reference

Circle arcs in three dimensions. More...

#include <circlearc.h>

Inheritance diagram for CircleArc:

Public Member Functions
	CircleArc ()
	Empty.
	CircleArc (const Vector &, const Vector &, const double &, const Vector &, const Vector &)
	Creates a circle arc.
	CircleArc (const Vector &, const Vector &, const Vector &)
	Creates a circle arc given three vertices.
	~CircleArc ()
	Empty.
void	Rotate (const Matrix &)
	Rotates the arc.
void	Translate (const Vector &)
	Translates the arc.
void	Scale (const double &)
	Uniformly scales a circle.
Box	GetBox () const
	Compute the axis aligned bounding box of a circle.
Vector	Normal (const Vector &) const
	Compute the distance vector between a circular arc and a given point.
double	R (const Vector &) const
	Compute the squared distance between a point and the circurlar arc.

Protected Attributes
Vector	b = Vector(Math::Sqrt12, Math::Sqrt12, 0.0)
	End points of arc.
Vector	nab
	Slab vectors.
Protected Attributes inherited from Circle
Vector	c = Vector::Null
	Center of the circle.
Vector	axis = Vector::Z
	Axis.
double	r = 1.0
	Radius.

Friends
std::ostream &	operator<< (std::ostream &s, const Circle &circle)
	Overloaded.

Additional Inherited Members
Protected 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.
Static Protected Member Functions inherited from Circle
static double	Area (const double &)
	Area of a circle given its radius.
Static Protected Attributes inherited from Circle
static constexpr const double	epsilon = 1.0e-10
	Internal epsilon constant.

Detailed Description

Circle arcs in three dimensions.

Constructor & Destructor Documentation

CircleArc() [1/2]

CircleArc::CircleArc ( const Vector & c, const Vector & axis, const double & r, const Vector & a, const Vector & b )

explicit

Creates a circle arc.

Parameters

c	Center.
axis	Axis, which should be normalized.
r	Radius.
a,b	End points, should be consistent with center and radius.

CircleArc() [2/2]

CircleArc::CircleArc ( const Vector & x, const Vector & y, const Vector & z )

explicit

Creates a circle arc given three vertices.

Parameters

x,y,z

Points on the circle.

Member Function Documentation

Normal()

Vector CircleArc::Normal

(

const Vector &

p

)

const

Compute the distance vector between a circular arc and a given point.

Parameters

p

Point.

R()

double CircleArc::R

(

const Vector &

p

)

const

Compute the squared distance between a point and the circurlar arc.

Parameters

p

Point.

Rotate()

void CircleArc::Rotate

(

const Matrix &

r

)

Rotates the arc.

Parameters

r	Rotation matrix.

Scale()

void CircleArc::Scale

(

const double &

s

)

Uniformly scales a circle.

Parameters

s	Scaling factor.

Translate()

void CircleArc::Translate

(

const Vector &

t

)

Translates the arc.

Parameters

t	Translation vector.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const Circle & circle )

friend

Overloaded.

Parameters

s	Stream.
circle	The circle.