LCPlane3D Class Reference

Definition of a LCPlane3D describing a geometrical plane in 3D space. More...

#include <LCPlane3D.h>

Public Member Functions
	LCPlane3D (double a=0, double b=0, double c=1, double d=0)
	Constructor from four numbers - creates plane a*x+b*y+c*z+d=0. More...
	LCPlane3D (LCVector3D normal, LCVector3D point)
	Constructor from normal and point. More...
	LCPlane3D (LCVector3D point1, LCVector3D point2, LCVector3D point3)
	Constructor from three different points. More...
	LCPlane3D (LCVector3D normal, double distance)
	Constructor for a plane using a normal and the Distance between Origen and the plane. More...
	LCPlane3D (const LCPlane3D &plane)
	Copy constructor. More...
	~LCPlane3D ()
	Destructor. More...
LCPlane3D &	operator= (const LCPlane3D &rhs)
	Assignment. More...
double	a () const
	Returns the a-coefficient in the plane equation: a*x+b*y+c*z+d=0. More...
double	b () const
	Returns the b-coefficient in the plane equation: a*x+b*y+c*z+d=0. More...
double	c () const
	Returns the c-coefficient in the plane equation: a*x+b*y+c*z+d=0. More...
double	d () const
	Returns the free member of the plane equation: a*x+b*y+c*z+d=0. More...
LCVector3D	normal () const
	Returns normal. More...
LCPlane3D &	normalize ()
	Normalization. More...
double	distance (const LCVector3D &point) const
	Distance of a point to the plane. More...
LCVector3D	projectPoint (const LCVector3D &point) const
	Projection of a point on to the plane. More...
LCVector3D	projectPoint () const
	Projection of the origin onto the plane. More...
bool	operator== (const LCPlane3D &plane) const
	Test for equality. More...
bool	operator!= (const LCPlane3D &plane) const
	Test for inequality. More...

Protected Attributes
double	_a
double	_b
double	_c
double	_d

Detailed Description

Definition of a LCPlane3D describing a geometrical plane in 3D space.

Author

T.Kraemer, DESY

Version

Id:

LCPlane3D.h,v 1.3 2006-10-19 15:59:26 tkraemer Exp

Constructor & Destructor Documentation

LCPlane3D::LCPlane3D	(	double	a = 0,
		double	b = 0,
		double	c = 1,
		double	d = 0
	)

Constructor from four numbers - creates plane a*x+b*y+c*z+d=0.

Parameters

a
b
c
d

References a(), b(), c(), d(), and normalize().

LCPlane3D::LCPlane3D	(	LCVector3D	normal,
		LCVector3D	point
	)

Constructor from normal and point.

Parameters

normal	vector pointing in the direction of the normal. This vector does not have to be normalised.
point	Point on the plane.

LCPlane3D::LCPlane3D	(	LCVector3D	point1,
		LCVector3D	point2,
		LCVector3D	point3
	)

Constructor from three different points.

Parameters

point1	Point on the plane.
point2	Point on the plane.
point3	Point on the plane.

LCPlane3D::LCPlane3D	(	LCVector3D	normal,
		double	distance
	)

Constructor for a plane using a normal and the Distance between Origen and the plane.

Parameters

normal	vector pointing in the direction of the normal. This vector does not have to be normalised.
distance	distance is the distance from the origen to the plane.

References distance().

LCPlane3D::LCPlane3D

(

const LCPlane3D &

plane

)

Copy constructor.

Parameters

plane

plane is an other LCPlane3D.

LCPlane3D::~LCPlane3D ( )

inline

Destructor.

Member Function Documentation

double LCPlane3D::a

(

)

const

Returns the a-coefficient in the plane equation: a*x+b*y+c*z+d=0.

Referenced by LCPlane3D().

double LCPlane3D::b

(

)

const

Returns the b-coefficient in the plane equation: a*x+b*y+c*z+d=0.

Referenced by LCPlane3D().

double LCPlane3D::c

(

)

const

Returns the c-coefficient in the plane equation: a*x+b*y+c*z+d=0.

Referenced by LCPlane3D().

double LCPlane3D::d

(

)

const

Returns the free member of the plane equation: a*x+b*y+c*z+d=0.

Referenced by LCLine3D::intersectionWithPlane(), and LCPlane3D().

double LCPlane3D::distance

(

const LCVector3D &

point

)

const

Distance of a point to the plane.

The value of the distance is

• negative if the point and the origen are on the same side of the plane
• positive if the Point and the origen are on opposite sides of the plane.

  Parameters

  point

  point is a point in space

Referenced by SimpleHelix::getIntersectionWithPlane(), LCPlane3D(), and projectPoint().

LCVector3D LCPlane3D::normal

(

)

const

Returns normal.

Referenced by SimpleHelix::getIntersectionWithPlane(), and LCLine3D::intersectionWithPlane().

LCPlane3D & LCPlane3D::normalize

(

)

Normalization.

Referenced by LCPlane3D().

bool LCPlane3D::operator!=

(

const LCPlane3D &

plane

)

const

Test for inequality.

LCPlane3D & LCPlane3D::operator=

(

const LCPlane3D &

rhs

)

Assignment.

bool LCPlane3D::operator==

(

const LCPlane3D &

plane

)

const

Test for equality.

LCVector3D LCPlane3D::projectPoint

(

const LCVector3D &

point

)

const

Projection of a point on to the plane.

Parameters

point

point is a point in space.

References distance().

Referenced by LCCylinder::projectPoint().

LCVector3D LCPlane3D::projectPoint

(

)

const

Projection of the origin onto the plane.

---

The documentation for this class was generated from the following files:

• LCPlane3D.h
• LCPlane3D.cc