Hexagonal Class Reference

Vertical hexagonal prism. More...

#include <hexagon.h>

Inheritance diagram for Hexagonal:

Public Member Functions
	Hexagonal ()
	Heights.
	Hexagonal (const Vector2 &, const double &, const double &, const double &)
	Create a hexagonal prism.
	Hexagonal (const Hexagon2 &, const double &, const double &)
	Create a hexagonal prism.
	~Hexagonal ()
	Empty.
Vector	Center (int) const
	Return the base or apex vertex of the hexagonal prism.
double	Radius () const
	Return the radius of the hexagonal cell.
Vector	Vertex (int) const
	Return the coordinates of the k-th vertex.
Vector	Radial (int) const
	Return the radial vector of the k-th vertex.
Vector	Edge (int) const
	Return the edge vector connecting vertexes k and k+1.
Vector	Normal (int) const
	Return the normal vector to the k-th edge connecting vertexes k and k+1.
double	Area () const
	Area of the hexagonal prism.
double	Volume () const
	Volume of the hexagonal prism.
Box	GetBox () const
	Comput the bounding box of the hexagonal prism.
double	Signed (const Vector &) const
	Compute the Euclidean signed distance to the hexagonal prism.
double	R (const Vector &) const
	Compute the squared distance to the hexagonal prism.

Static Public Attributes
static const Hexagonal	Unit = Hexagonal(Vector2::Null, 1.0, 0.0, 1.0)
	Unit hexagonal prism.

Friends
std::ostream &	operator<< (std::ostream &s, const Hexagonal &hex)
	Overloaded.

Additional Inherited Members
Protected Member Functions inherited from Hexagon2
	Hexagon2 ()
	Empty.
	Hexagon2 (const Vector2 &, const double &)
	Create an hexagon.
	Hexagon2 (const double &)
	Create an hexagon.
void	Translate (const Vector2 &)
	Translate a hexagon.
void	Scale (const double &)
	Scale a hexagon.
double	Width () const
	Width of the hexagon.
double	Height () const
	Height of the hexagon.
bool	Inside (const Vector2 &) const
	Test if a point is inside.
bool	Intersect (const Hexagon2 &) const
	Check if two hexagons intersect.
double	R (const Vector2 &) const
	Compute the squared Euclidean distance to the hexagon.
double	Signed (const Vector2 &) const
	Compute the signed Euclidean distance to the hexagon.
Vector2	Normal (const Vector2 &) const
	Computes the distance vector between a hexagon and a point.
Vector2	Center () const
	Return the center of the hexagonal cell.
double	Radius () const
	Return the radius of the hexagonal cell.
Vector2	Radial (int) const
	Return the radial vector of the k-th vertex.
Vector2	Edge (int) const
	Return the edge vector connecting vertexes k and k+1.
Vector2	Vertex (int) const
	Return the coordinates of the k-th vertex.
Box2	GetBox () const
	Compute the bounding box of a hexagon.
double	Area () const
	Area of the hexagon.
double	Perimeter () const
	Perimeter of the hexagon.
Vector2	RandomInside (Random &=Random::R239) const
	Generate a random vector inside the hexagon.
QVector< Vector2 >	Poisson (const double &, int, Random &=Random::R239) const
	Compute a Poisson disc distribution inside the hexagon.
bool	Intersect (const Circle2 &) const
	Check the intersection with a circle.
void	Draw (QGraphicsScene &, const QPen &=QPen(), const QBrush &=QBrush()) const
	Draws an hexagon.
Static Protected Member Functions inherited from Hexagon2
static int	Sector (const Vector2 &)
	Compute the sector given an input direction.
Protected Attributes inherited from Hexagon2
Vector2	c = Vector2::Null
	Center.
double	r = 1.0
	Radius.
Static Protected Attributes inherited from Hexagon2
static const Vector2	vertex [6]
	Array of vertices.
static const Vector2	normal [6]
	Array of normal vectors to the edges.
static const Vector2	edge [6]
	Unit edge vectors.
static const double	Alpha = sqrt(3.0) / 2.0
	Constant sin(π/6)=√3/2.

Detailed Description

Vertical hexagonal prism.

Constructor & Destructor Documentation

Hexagonal() [1/3]

Hexagonal::Hexagonal ( )

inline

Heights.

Empty

Hexagonal() [2/3]

Hexagonal::Hexagonal ( const Vector2 & c, const double & r, const double & a, const double & b )

explicit

Create a hexagonal prism.

Parameters

c	Center.
r	Radius.
a,b	Cap heights.

Hexagonal() [3/3]

Hexagonal::Hexagonal ( const Hexagon2 & h, const double & a, const double & b )

explicit

Create a hexagonal prism.

Parameters

h	Hexagon.
a,b	Cap heights.

Member Function Documentation

Center()

Vector Hexagonal::Center ( int k ) const

inline

Return the base or apex vertex of the hexagonal prism.

Parameters

k

Index.

Edge()

Vector Hexagonal::Edge ( int k ) const

inline

Return the edge vector connecting vertexes k and k+1.

Parameters

k	Index, should be in [0,5].

Normal()

Vector Hexagonal::Normal ( int k ) const

inline

Return the normal vector to the k-th edge connecting vertexes k and k+1.

Parameters

k	Index, should be in [0,5].

R()

double Hexagonal::R

(

const Vector &

p

)

const

Compute the squared distance to the hexagonal prism.

Internally, call Hexagon2::R(const Vector2&).

Parameters

p

Point.

Radial()

Vector Hexagonal::Radial ( int k ) const

inline

Return the radial vector of the k-th vertex.

Parameters

k	Index, should be in [0,5].

Signed()

double Hexagonal::Signed

(

const Vector &

p

)

const

Compute the Euclidean signed distance to the hexagonal prism.

Internally, call Hexagon2::R(const Vector2&).

Parameters

p

Point.

Vertex()

Vector Hexagonal::Vertex ( int k ) const

inline

Return the coordinates of the k-th vertex.

Parameters

k	Index, should be in [0,5] for lower cap, in [6,11] for upper cap.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const Hexagonal & hex )

friend

Overloaded.

Parameters

s	Stream.
hex	The hexagonal prism.