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. More...

	~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. More...

double	R (const Vector &) const
	Computes the distance between a point and the cone-sphere. More...

Vector	Normal (const Vector &) const
	This function computes the vector distance between the cone-sphere and a point. More...

void	Rotate (const Matrix &)
	Rotates the cone-sphere. More...

void	Translate (const Vector &)
	Translates the cone-sphere. More...

void	Scale (const double &)
	Uniformly scales the cone-sphere. More...

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
	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
	Internal parameter.

double	conelength
	Side length of the cone.

Vector2	side
	Vector representing the side.

Protected Attributes inherited from Axis
Vector	b = Vector::Z
	End vertices of the axis.

Vector	axis = Vector::Z
	Normalized axis vector.

double	length = 1.0
	Length of the axis.

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

Additional Inherited Members
Protected Member Functions inherited from Axis
double	Radial (const Vector &, Vector &, Vector &) const
	Compute the radial coordinates of a point. More...

Vector2	Radial (const Vector &) const
	Compute the radial coordinates of a point. More...

	Axis ()
	Empty.

	Axis (const Vector &, const Vector &)
	Creates an axis given end vertices. More...

	~Axis ()
	Empty.

void	Rotate (const Matrix &)
	Rotates an axis. More...

void	Translate (const Vector &)
	Translates an axis. More...

void	Scale (const double &)
	Uniformly scales an axis. More...

void	Scale (const Vector &)
	Scales an axis. More...

Quadric	Equation (const Ray &) const
	Compute the polynomial equation of the Euclidean distance between a ray and the axis. More...

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. More...

Sphere	Symmetric (const Sphere &) const
	Symmetric sphere. More...

Vector	Normal (const Vector &) const
	Compute the normal vector between a point and its projection onto the edge. More...

double	R (const Vector &) const
	Compute the squared distance to the segment. More...

double	R (const Axis &) const
	Compute the squared distance between two axes. More...

double	R (const Vector &, double &) const
	Compute the squared distance to the axis. More...

Matrix	GetFrame () const
	Compute an orthonormal frame attached to the axis. More...

Static Protected Member Functions inherited from Axis
static Matrix	GetFrame (const Vector &)
	Compute an orthonormal frame attached to the axis. More...

static Vector	BoxVector (const Vector &)
	Compute the box vector extent of a unit circle with a given axis. More...

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 Function Documentation

◆ operator<<

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

friend

Overloaded.

Parameters

s	Stream.
conesphere	The cone-sphere.

Public Member Functions

Protected Attributes

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ ConeSphere()

Member Function Documentation

◆ Inside()

◆ Normal()

◆ R()

◆ Rotate()

◆ Scale()

◆ Translate()

Friends And Related Function Documentation

◆ operator<<