Rectangles Class Reference

Rectangles. More...

#include <rectangle.h>

Public Member Functions
	Rectangles ()
	Empty.
	Rectangles (const double &, const double &)
	Create a horizontal rectangle in the xy-plane, centered at the origin. More...
	Rectangles (const Vector &, const Vector &, const Vector &)
	Create a rectangle given its origin and two orthogonal axes. More...
	Rectangles (const Vector &, const Vector &, const Vector &, const double &, const double &)
	Create a rectangle given its origin and two orthogonal axes. More...
	~Rectangles ()
	Empty.
Vector	Center () const
	Gets the center of the rectangle.
Vector	Vertex (const double &, const double &) const
	Compute the coordinates of a vertex in the rectangle. More...
Vector	Normal () const
	Return the normal.
double	R (const Vector &) const
	Compute the squared distance between a point and the rectangle. More...
Vector	Normal (const Vector &) const
	Computes the vector distance between the box and a point. More...
void	Rotate (const Matrix &)
	Rotate the rectangle. More...
void	Translate (const Vector &)
	Translate the rectangle. More...
void	Scale (const double &)
	Scale the rectangle. More...
Box	GetBox () const
	Compute the box embedding the shape.
double	Area () const
	Compute the area of the rectangle.
double	Width () const
	Return the half width.
double	Height () const
	Return the half height.

Protected Attributes
Vector	z = Vector::Z
	Axes.
Vector	c = Vector::Null
	Center.
double	b = 1.0
	Side lengths.

Static Protected Attributes
static double	epsilon = 1.0e-10
	Internal epsilon constant.

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

Detailed Description

Rectangles.

Constructor & Destructor Documentation

Rectangles() [1/3]

Rectangles::Rectangles ( const double &  a, const double &  b  )

explicit

Create a horizontal rectangle in the xy-plane, centered at the origin.

Parameters

a,b

Size.

Rectangles() [2/3]

Rectangles::Rectangles ( const Vector &  c, const Vector &  x, const Vector &  y  )

explicit

Create a rectangle given its origin and two orthogonal axes.

Parameters

c	Origin
x,y	Axes.

Rectangles() [3/3]

Rectangles::Rectangles ( const Vector &  c, const Vector &  x, const Vector &  y, const double &  a, const double &  b  )

explicit

Create a rectangle given its origin and two orthogonal axes.

Parameters

c	Origin
x,y	Unit axes (normalized).
a,b	Size.

Member Function Documentation

Normal()

Vector Rectangles::Normal

(

const Vector &

p

)

const

Computes the vector distance between the box and a point.

Parameters

p

Point.

R()

double Rectangles::R

(

const Vector &

p

)

const

Compute the squared distance between a point and the rectangle.

Parameters

p

Point.

Rotate()

void Rectangles::Rotate

(

const Matrix &

r

)

Rotate the rectangle.

Parameters

r	Rotation matrix.

Scale()

void Rectangles::Scale

(

const double &

s

)

Scale the rectangle.

Parameters

s	Scaling factor.

Translate()

void Rectangles::Translate

(

const Vector &

t

)

Translate the rectangle.

Parameters

t	Translation vector.

Vertex()

Vector Rectangles::Vertex	(	const double &	u,
		const double &	v
	)		const

Compute the coordinates of a vertex in the rectangle.

Parameters

u,v	Coordinates of the point.

Friends And Related Function Documentation

operator<<

std::ostream & operator<< ( std::ostream &  s, const Rectangles &  rectangle  )

friend

Overloaded.

Parameters

s	Stream.
rectangle	The rectangle.