Capsule2 Class Reference

A line-swept-cricle. More...

#include <capsule.h>

Inheritance diagram for Capsule2:

Public Member Functions
	Capsule2 ()
	Empty.
	Capsule2 (const Vector2 &, const Vector2 &, const double &)
	Creates a capsule.
	~Capsule2 ()
	Empty.
bool	Intersect (const Box2 &) const
	Check the intersection with a box.
bool	Inside (const Vector2 &) const
	Check if a point is inside the capsule.
double	R (const Vector2 &) const
	Computes the squared distance between a point and the capsule.
double	Signed (const Vector2 &) const
	Computes the signed distance between a point and the capsule.
Vector2	Normal (const Vector2 &) const
	Compute the normal vector between a point and its projection onto the capsule.
bool	Intersect (const Ray2 &) const
	Check the intersection between a capsule and a ray.
int	Intersect (const Ray2 &, double &, double &) const
	Compute the intersections between a capsule and a ray.
Box2	GetBox () const
	Computes the tight bounding box of the capsule.
double	Area () const
	Compute the surface area.
void	Draw (QGraphicsScene &, const QPen &, const QBrush &) const
	Draws a capsule.
Vector2	Vertex (int) const
	Return one of the end vertexes of the axis.

Protected Member Functions
OrientedBox2	GetOrientedBox () const
	Compute the bounding oriented box.
Protected Member Functions inherited from Axis2
double	Radial (const Vector2 &, Vector2 &, Vector2 &) const
	Compute the radial coordinates of a point.
Vector2	Radial (const Vector2 &) const
	Compute the radial coordinates of a point.
	Axis2 ()
	Empty.
	Axis2 (const Vector2 &, const Vector2 &)
	Creates an axis given end vertices.
	~Axis2 ()
	Empty.
Vector2	Vertex (int) const
	Return one of the end vertexes of the axis.
Vector2	Point (const double &) const
	Compute a point on the axis.
Vector2	GetAxis () const
	Returns the normalized axis vector.
constexpr double	Length () const
	Return the axis length.
void	Translate (const Vector2 &)
	Translation.
void	Rotate (const Matrix2 &)
	Rotation.
void	Scale (const double &)
	Scaling.
Vector2	Symmetric (const Vector2 &) const
	Symmetric point.
Circle2	Symmetric (const Circle2 &) const
	Symmetric circle.
Box2	Symmetric (const Box2 &) const
	Symmetric box.

Protected Attributes
double	r = 1.0
	Radius.
Protected Attributes inherited from Axis2
Vector2	b = Vector2(1.0, 0.0)
	End vertexes of the axis.
Vector2	axis = Vector2::X
	Normalized axis vector.
double	length = 1.0
	Length of the axis.

Friends
std::ostream &	operator<< (std::ostream &s, const Capsule2 &c)
	Overloaded.

Detailed Description

A line-swept-cricle.

Constructor & Destructor Documentation

Capsule2()

Capsule2::Capsule2 ( const Vector2 & a, const Vector2 & b, const double & r )

explicit

Creates a capsule.

Parameters

a,b	Vertexes
r	Radius.

Member Function Documentation

Draw()

void Capsule2::Draw	(	QGraphicsScene &	scene,
		const QPen &	pen,
		const QBrush &	brush ) const

Draws a capsule.

Parameters

scene	Graphics scene.
pen	The pen.
brush	The brush.

GetBox()

Box2 Capsule2::GetBox

(

)

const

Computes the tight bounding box of the capsule.

See also

Circle::GetBox()

Inside()

bool Capsule2::Inside

(

const Vector2 &

p

)

const

Check if a point is inside the capsule.

Parameters

p

Point.

Intersect() [1/3]

bool Capsule2::Intersect

(

const Box2 &

box

)

const

Check the intersection with a box.

Parameters

box

The box.

Intersect() [2/3]

bool Capsule2::Intersect

(

const Ray2 &

ray

)

const

Check the intersection between a capsule and a ray.

Parameters

ray	The normalized ray.

Intersect() [3/3]

int Capsule2::Intersect	(	const Ray2 &	ray,
		double &	ta,
		double &	tb ) const

Compute the intersections between a capsule and a ray.

Parameters

ray	The ray.
ta,tb	Intersection depths.

Normal()

Vector2 Capsule2::Normal

(

const Vector2 &

p

)

const

Compute the normal vector between a point and its projection onto the capsule.

Parameters

p

Point.

R()

double Capsule2::R

(

const Vector2 &

p

)

const

Computes the squared distance between a point and the capsule.

Parameters

p

Point.

Signed()

double Capsule2::Signed

(

const Vector2 &

p

)

const

Computes the signed distance between a point and the capsule.

Parameters

p

Point.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & s, const Capsule2 & c )

friend

Overloaded.

Parameters

s	Stream.
c	Capsule.