ConeSphere Class Reference

Cone-Spheres, defined as rounded truncated cones. More...

#include <conesphere.h>

Inheritance diagram for ConeSphere:

Public Member Functions
	ConeSphere ()
	Empty.
	ConeSphere (const Vector &, const Vector &, const double &, const double &)
	Creates a cone-sphere characterized by its end-vertices and radii.
	~ConeSphere ()
	Empty.
constexpr double	Radius (int) const
	Gets either end-radius of the cone-sphere.
bool	Inside (const Vector &) const
	Check if a point is inside or outside the cone-sphere.
double	R (const Vector &) const
	Computes the distance between a point and the cone-sphere.
Vector	Normal (const Vector &) const
	This function computes the vector distance between the cone-sphere and a point.
void	Rotate (const Matrix &)
	Rotates the cone-sphere.
void	Translate (const Vector &)
	Translates the cone-sphere.
void	Scale (const double &)
	Uniformly scales the cone-sphere.
Box	GetBox () const
	Compute the axis-aligned bounding box of the cone-sphere.
Vector	Vertex (int) const
	Return one of the end vertexes of the axis.

Protected Attributes
double	rb = 0.0
	Radius of the cone at the first and second vertices of the axis, note that the first vertex should have the largest radius.
double	rlength = 1.0
	Internal parameter.
double	conelength = Math::Sqrt2
	Side length of the cone.
Vector2	side = Vector2(-1.0, 1.0)
	Vector representing the side.
Protected Attributes inherited from Axis
Vector	b = Vector::Z
	End vertexes of the axis.
Vector	axis = Vector::Z
	Normalized axis vector.
double	length = 1.0
	Length of the axis.

Friends
std::ostream &	operator<< (std::ostream &s, const ConeSphere &conesphere)
	Overloaded.

Additional Inherited Members
Protected Member Functions inherited from Axis
double	Radial (const Vector &, Vector &, Vector &) const
	Compute the radial coordinates of a point.
	Axis ()
	Empty.
	Axis (const Vector &, const Vector &)
	Creates an axis given end vertices.
	~Axis ()
	Empty.
void	Rotate (const Matrix &)
	Rotates an axis.
void	Translate (const Vector &)
	Translates an axis.
void	Scale (const double &)
	Uniformly scales an axis.
void	Scale (const Vector &)
	Scales an axis.
Quadric	Equation (const Ray &) const
	Compute the polynomial equation of the Euclidean distance between a ray and the axis.
Vector	Vertex (int) const
	Return one of the end vertexes of the axis.
Vector	Point (const double &) const
	Compute a point on the axis.
Vector	GetAxis () const
	Returns the normalized axis vector.
double	Length () const
	Return the axis length.
Vector	Symmetric (const Vector &) const
	Symmetric point.
Sphere	Symmetric (const Sphere &) const
	Symmetric sphere.
Vector	Normal (const Vector &) const
	Compute the normal vector between a point and its projection onto the edge.
double	R (const Vector &) const
	Compute the squared distance to the segment.
double	R (const Axis &) const
	Compute the squared distance between two axes.
double	R (const Vector &, double &) const
	Compute the squared distance to the axis.
Matrix	GetFrame () const
	Compute an orthonormal frame attached to the axis.
Vector2	Radial (const Vector &) const
	Compute the radial coordinates of a point.
Static Protected Member Functions inherited from Axis
static Matrix	GetFrame (const Vector &)
	Compute an orthonormal frame attached to the axis.
static Vector	BoxVector (const Vector &)
	Compute the box vector extent of a unit circle with a given axis.
Static Protected Attributes inherited from Axis
static const Axis	Z
	Axes from origin, identical to Axis(Vector::Null,Vector::X) ...

Detailed Description

Cone-Spheres, defined as rounded truncated cones.

Constructor & Destructor Documentation

ConeSphere()

ConeSphere::ConeSphere ( const Vector & a, const Vector & b, const double & ra, const double & rb )

explicit

Creates a cone-sphere characterized by its end-vertices and radii.

Parameters

a,b	End vertices of the axis.
ra,rb	Radii.

Member Function Documentation

Inside()

bool ConeSphere::Inside

(

const Vector &

p

)

const

Check if a point is inside or outside the cone-sphere.

Parameters

p

Point.

Normal()

Vector ConeSphere::Normal

(

const Vector &

p

)

const

This function computes the vector distance between the cone-sphere and a point.

See also

Cone::Normal(const Vector&)

Parameters

p

Point.

R()

double ConeSphere::R

(

const Vector &

p

)

const

Computes the distance between a point and the cone-sphere.

Parameters

p

Point.

Rotate()

void ConeSphere::Rotate

(

const Matrix &

r

)

Rotates the cone-sphere.

Parameters

r	Rotation matrix.

Scale()

void ConeSphere::Scale

(

const double &

s

)

Uniformly scales the cone-sphere.

Parameters

s	Scaling factor.

Translate()

void ConeSphere::Translate

(

const Vector &

t

)

Translates the cone-sphere.

Parameters

t	Translation vector.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const ConeSphere & conesphere )

friend

Overloaded.

Parameters

s	Stream.
conesphere	The cone-sphere.