CylinderBox Class Reference

A box with rounded corners only along the z axis. More...

#include <cylinder.h>

Inheritance diagram for CylinderBox:

Public Member Functions
	CylinderBox ()
	Empty.
	CylinderBox (const Vector &, const Vector &, const double &)
	Creates a cylinder-box.
	CylinderBox (const Box &, const double &)
	Creates a cylinder-box.
	~CylinderBox ()
	Empty.
Box	GetBox () const
	Computes the axis-aligned bounding box of a cylinder.
double	R (const Vector &) const
	Computes the distance between the cylinder-box and a point in space.
double	Signed (const Vector &) const
	Computes the signed distance between the cylinder-box and a point in space.
Vector	Normal (const Vector &) const
	Computes the vector distance between the cylinder-box and a point in space.
Vector	Vertex (int) const
	Returns the k-th vertex of the box.

Protected Attributes
double	r = 1.0
	Radius.
Protected Attributes inherited from Box
Vector	b = Vector(1.0)
	Lower and upper vertexex.

Friends
std::ostream &	operator<< (std::ostream &s, const CylinderBox &cylinder)
	Overloaded.

Additional Inherited Members
Protected Member Functions inherited from Box
	Box ()
	Empty.
	Box (const double &)
	Create a cube centered at the origin and of given half side length.
	Box (const Vector &)
	Create an empty box given one vertex.
	Box (const Vector &, const Vector &)
	Create a box given two opposite corners.
	Box (const Vector &, const double &)
	Create a box given a center point and the half side length.
	Box (const Vector &, const double &, const double &, const double &)
	Create a box given a center point and its width, length, and height.
	Box (const double &, const double &, const double &)
	Create a box given its sizes.
	Box (const Vector *, int)
	Creates the bounding box of a set of points.
	Box (const QVector< Vector > &)
	Creates the bounding box of a set of points.
	Box (const Box &, const Box &)
	Create a box embedding two boxes.
	Box (const Box &, const Frame &)
	Creates an axis aligned bounding box from a box and a frame.
	Box (const Box &, const FrameScaled &)
	Creates an axis aligned bounding box from a box and a frame.
	Box (const Box &, const Matrix &)
	Creates an axis aligned bounding box from a box and a transformation matrix.
	~Box ()
	Empty.
Vector &	operator[] (int)
	Returns either end vertex of the box.
Vector	operator[] (int) const
	Overloaded.
Vector	Center () const
	Returns the center of the box.
Vector	Vertex (int) const
	Returns the k-th vertex of the box.
Segment	Edge (int) const
	Compute the k-th edge segment of the box.
Plane	Face (int) const
	Compute the k-th plane of the box.
Vector	Size () const
	Compute the size (width, length and height) of a box.
Vector	Diagonal () const
	Returns the diagonal of the box.
double	Radius () const
	Returns the radius of the box, i.e. the length of the half diagonal of the box.
double	R (const Vector &) const
	Computes the squared Euclidean distance between the box and a point.
double	Signed (const Vector &) const
	Computes the signed distance between the box and a point.
Vector	Normal (const Vector &) const
	Computes the normal vector between a point and a box.
double	R (const Box &) const
	Compute the squared Euclidean distance between two boxes.
double	RInfinity (const Box &) const
	Compute the maximum distance between two boxes.
int	Intersect (const Ray &) const
	Check the intersection between a box and a ray.
int	Intersect (const Ray &, double &, double &) const
	Computes the intersection between a box and a ray.
int	Intersect (const Ray &, double &) const
	Compute the first positive intersection between the box and a ray.
int	Intersect (const Ray &, double &, double &, Vector &, Vector &) const
	Compute the intersection between an axis aligned box and a ray.
int	Intersect (const Ray &, double &, Vector &) const
	Compute the first positive intersection between the box and a ray.
int	Intersect (const Vector &, const Vector &) const
	Check if a segment intersects an axis aligned box.
bool	Intersect (const Box &) const
	Check if the box intersects another box.
bool	Inside (const Box &) const
	Check if an argument box is inside the box.
bool	Inside (const Vector &) const
	Check if a point is inside the box.
Box	Intersection (const Box &) const
	Computes the intersection between two boxes.
int	Difference (const Box &, Box *) const
	Computes the difference between two boxes.
bool	Empty () const
	Check if a box is empty.
double	Volume () const
	Compute the volume of a box.
double	Area () const
	Compute the surface area of a box.
void	SetCubic ()
	Creates the tightest embedding cube from an arbitrarilly shaped box.
void	SetInscribedCubic ()
	Creates the biggest cube iscribed in the box.
Box	Cube () const
	Return the tightest embedding cube from an arbitrarilly shaped box.
void	Extend (const double &)
	Extend the limits of the box by a given distance.
Box	Extended (const double &) const
	Extend the limits of the box by a given distance.
void	Extend (const Vector &)
	Extend the limits of the box given a point.
Box	Extended (const Vector &) const
	Extend the limits of the box by a given vector range.
void	SetParallelepipedic (const double &, int &, int &, int &)
	Creates a parallelepipedic box whose dimensions are integer multiples of a given input reference size.
void	SetParallelepipedic (int, int &, int &, int &)
	Inflates a box so that its dimensions should be a fraction of its maximum side length.
Box	Sub (int) const
	Computes the sub-box in the n-th octant.
int	Octant (const Vector &) const
	Compute the octant index of a vertex with respect to the box center.
void	Translate (const Vector &)
	Translates a box.
Box	Translated (const Vector &) const
	Translated box.
void	Scale (const double &)
	Scales a box.
void	Scale (const Vector &)
	Scales a box.
Box	Scaled (const Vector &) const
	Scales a box and return the scaled box.
Box	Offsetted (const Vector &) const
	Offets a box.
Box	Centered () const
	Compute the box translated to origin.
Box	Cut (const Vector &, const Vector &) const
	Compute the minimal box embedding the box cut by half space.
int	IntegerAxis () const
	Compute the axis which has the greater length.
Vector	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the box.
Vector	RandomSurface (Random &=Random::R239) const
	Generate a random vector on the surface of the box.
QVector< Vector >	Poisson (const double &, int, Random &=Random::R239) const
	Compute a Poisson sphere distribution inside a box.
Static Protected Attributes inherited from Box
static constexpr const double	epsilon = 1.0e-5
	Epsilon value used to check intersections and some round off errors and for ray intersection tests.
static const Box	Infinity
	Largest box.
static const Box	Null
	Null box, equivalent to:
static const Box	Unit
	Unit box.
static const int	edge [24]
	Edge vertex indexes.
static const Vector	normal [6]
	Face normals.

Detailed Description

A box with rounded corners only along the z axis.

Constructor & Destructor Documentation

CylinderBox() [1/2]

CylinderBox::CylinderBox ( const Vector & a, const Vector & b, const double & r )

explicit

Creates a cylinder-box.

Parameters

a,b	End vertices of the box.
r	Radius.

CylinderBox() [2/2]

CylinderBox::CylinderBox ( const Box & b, const double & r )

explicit

Creates a cylinder-box.

Parameters

b	Box.
r	Radius.

Member Function Documentation

GetBox()

Box CylinderBox::GetBox

(

)

const

Computes the axis-aligned bounding box of a cylinder.

See also

Circle::GetBox()

Normal()

Vector CylinderBox::Normal

(

const Vector &

p

)

const

Computes the vector distance between the cylinder-box and a point in space.

Parameters

p

Point.

R()

double CylinderBox::R

(

const Vector &

p

)

const

Computes the distance between the cylinder-box and a point in space.

Parameters

p

Point.

Signed()

double CylinderBox::Signed

(

const Vector &

p

)

const

Computes the signed distance between the cylinder-box and a point in space.

Parameters

p

Point.

Vertex()

Vector Box::Vertex ( int k ) const

inline

Returns the k-th vertex of the box.

The returned vector is computed by analysing the first three bits of k as follows:

Vector vertex=Vector((k&1)?b[0]:a[0],(k&2)?b[1]:a[1],(k&4)?b[2]:a[2]);

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const CylinderBox & cylinder )

friend

Overloaded.

Parameters

s	Stream.
cylinder	The cylinder-box.