Ogre::Plane Class Reference

Defines a plane in 3D space. More...

#include <OgrePlane.h>

Inheritance diagram for Ogre::Plane:

Public Types
enum	Side { NO_SIDE, POSITIVE_SIDE, NEGATIVE_SIDE, BOTH_SIDE }
	The "positive side" of the plane is the half space to which the plane normal points. More...

Public Member Functions
	Plane ()
	Default constructor - sets everything to 0. More...
	Plane (const Plane &rhs)
	Plane (const Vector3 &rkNormal, Real fConstant)
	Construct a plane through a normal, and a distance to move the plane along the normal. More...
	Plane (Real a, Real b, Real c, Real d)
	Construct a plane using the 4 constants directly. More...
	Plane (const Vector3 &rkNormal, const Vector3 &rkPoint)
	Plane (const Vector3 &rkPoint0, const Vector3 &rkPoint1, const Vector3 &rkPoint2)
Real	getDistance (const Vector3 &rkPoint) const
	This is a pseudodistance. More...
Side	getSide (const Vector3 &rkPoint) const
Side	getSide (const AxisAlignedBox &rkBox) const
	Returns the side where the alignedBox is. More...
Side	getSide (const Vector3 &centre, const Vector3 &halfSize) const
	Returns which side of the plane that the given box lies on. More...
Real	normalise (void)
	Normalises the plane. More...
bool	operator!= (const Plane &rhs) const
Plane	operator- () const
	Get flipped plane, with same location but reverted orientation. More...
bool	operator== (const Plane &rhs) const
	Comparison operator. More...
Vector3	projectVector (const Vector3 &v) const
	Project a vector onto the plane. More...
void	redefine (const Vector3 &rkPoint0, const Vector3 &rkPoint1, const Vector3 &rkPoint2)
	Redefine this plane based on 3 points. More...
void	redefine (const Vector3 &rkNormal, const Vector3 &rkPoint)
	Redefine this plane based on a normal and a point. More...

Public Attributes
Real	d
Vector3	normal

Friends
_OgreExport friend std::ostream &	operator<< (std::ostream &o, const Plane &p)

Detailed Description

Defines a plane in 3D space.

Remarks

A plane is defined in 3D space by the equation Ax + By + Cz + D = 0

This equates to a vector (the normal of the plane, whose x, y and z components equate to the coefficients A, B and C respectively), and a constant (D) which is the distance along the normal you have to go to move the plane back to the origin.

Member Enumeration Documentation

Side

enum Ogre::Plane::Side

The "positive side" of the plane is the half space to which the plane normal points.

The "negative side" is the other half space. The flag "no side" indicates the plane itself.

Enumerator
NO_SIDE
POSITIVE_SIDE
NEGATIVE_SIDE
BOTH_SIDE

Constructor & Destructor Documentation

Plane() [1/6]

Ogre::Plane::Plane

(

)

Default constructor - sets everything to 0.

Plane() [2/6]

Ogre::Plane::Plane

(

const Plane &

rhs

)

Plane() [3/6]

Ogre::Plane::Plane	(	const Vector3 &	rkNormal,
		Real	fConstant
	)

Construct a plane through a normal, and a distance to move the plane along the normal.

Plane() [4/6]

Ogre::Plane::Plane	(	Real	a,
		Real	b,
		Real	c,
		Real	d
	)

Construct a plane using the 4 constants directly.

Plane() [5/6]

Ogre::Plane::Plane	(	const Vector3 &	rkNormal,
		const Vector3 &	rkPoint
	)

Plane() [6/6]

Ogre::Plane::Plane	(	const Vector3 &	rkPoint0,
		const Vector3 &	rkPoint1,
		const Vector3 &	rkPoint2
	)

Member Function Documentation

getSide() [1/3]

Side Ogre::Plane::getSide

(

const Vector3 &

rkPoint

)

const

Referenced by Ogre::PlaneBoundedVolume::intersects().

getSide() [2/3]

Side Ogre::Plane::getSide

(

const AxisAlignedBox &

rkBox

)

const

Returns the side where the alignedBox is.

The flag BOTH_SIDE indicates an intersecting box. One corner ON the plane is sufficient to consider the box and the plane intersecting.

getSide() [3/3]

Side Ogre::Plane::getSide	(	const Vector3 &	centre,
		const Vector3 &	halfSize
	)		const

Returns which side of the plane that the given box lies on.

The box is defined as centre/half-size pairs for effectively.

Parameters

centre	The centre of the box.
halfSize	The half-size of the box.

Returns

POSITIVE_SIDE if the box complete lies on the "positive side" of the plane, NEGATIVE_SIDE if the box complete lies on the "negative side" of the plane, and BOTH_SIDE if the box intersects the plane.

getDistance()

Real Ogre::Plane::getDistance

(

const Vector3 &

rkPoint

)

const

This is a pseudodistance.

The sign of the return value is positive if the point is on the positive side of the plane, negative if the point is on the negative side, and zero if the point is on the plane.

The absolute value of the return value is the true distance only when the plane normal is a unit length vector.

Referenced by Ogre::PlaneBoundedVolume::intersects().

redefine() [1/2]

void Ogre::Plane::redefine	(	const Vector3 &	rkPoint0,
		const Vector3 &	rkPoint1,
		const Vector3 &	rkPoint2
	)

Redefine this plane based on 3 points.

redefine() [2/2]

void Ogre::Plane::redefine	(	const Vector3 &	rkNormal,
		const Vector3 &	rkPoint
	)

Redefine this plane based on a normal and a point.

projectVector()

Vector3 Ogre::Plane::projectVector

(

const Vector3 &

v

)

const

Project a vector onto the plane.

Remarks

This gives you the element of the input vector that is perpendicular to the normal of the plane. You can get the element which is parallel to the normal of the plane by subtracting the result of this method from the original vector, since parallel + perpendicular = original.

Parameters

v	The input vector

normalise()

Real Ogre::Plane::normalise

(

void

)

Normalises the plane.

Remarks

This method normalises the plane's normal and the length scale of d is as well.

Note

This function will not crash for zero-sized vectors, but there will be no changes made to their components.

Returns

The previous length of the plane's normal.

operator-()

Plane Ogre::Plane::operator- ( ) const

inline

Get flipped plane, with same location but reverted orientation.

References Ogre::Vector3::x, Ogre::Vector3::y, and Ogre::Vector3::z.

operator==()

bool Ogre::Plane::operator== ( const Plane &  rhs ) const

inline

Comparison operator.

References d, and normal.

operator!=()

bool Ogre::Plane::operator!= ( const Plane &  rhs ) const

inline

References d, normal, and Ogre::operator<<().

Friends And Related Function Documentation

operator<<

_OgreExport friend std::ostream& operator<< ( std::ostream &  o, const Plane &  p  )

friend

Member Data Documentation

normal

Vector3 Ogre::Plane::normal

Referenced by operator!=(), Ogre::Matrix4::operator*(), and operator==().

d

Real Ogre::Plane::d

Referenced by operator!=(), Ogre::Matrix4::operator*(), and operator==().

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

• OgrePlane.h