#include <BALL/MATHS/plane3.h>

Public Member Functions
Constructors and Destructors
	TPlane3 ()

	TPlane3 (const TPlane3 &plane)

	TPlane3 (const TVector3< T > &point, const TVector3< T > &normal)

	TPlane3 (const TVector3< T > &a, const TVector3< T > &b, const TVector3< T > &c)

	TPlane3 (const T &a, const T &b, const T &c, const T &d)

virtual	~TPlane3 ()

virtual void	clear ()

Assignment
void	swap (TPlane3 &plane)

void	set (const TPlane3 &plane)

void	set (const TVector3< T > &point, const TVector3< T > &normal)

void	set (const TVector3< T > &a, const TVector3< T > &b, const TVector3< T > &c)

TPlane3 &	operator= (const TPlane3 &plane)

void	get (TPlane3 &plane) const

void	get (TVector3< T > &point, TVector3< T > &normal) const

Accessors
void	normalize ()

void	hessify ()

Predicates
bool	operator== (const TPlane3 &plane) const

bool	operator!= (const TPlane3 &plane) const

bool	has (const TVector3< T > &point) const

bool	has (const TLine3< T > &line) const

Debugging and Diagnostics
bool	isValid () const

void	dump (std::ostream &s=std::cout, Size depth=0) const

Public Attributes
Attributes
TVector3< T >	p

TVector3< T >	n

Detailed Description

template<typename T>
class BALL::TPlane3< T >

Threedimensional plane. A plane is defined by a point and its normal.

Definition at line 35 of file plane3.h.

Constructor & Destructor Documentation

template<typename T>

BALL::TPlane3< T >::TPlane3 ( )

inline

Default constructor. This method creates a new TPlane3 object. The two components are initialized to (T)0.

Definition at line 66 of file plane3.h.

template<typename T>

BALL::TPlane3< T >::TPlane3 ( const TPlane3< T > & plane )

inline

Copy constructor. Create a new TPlane3 object from another.

Parameters

plane the TPlane3 object to be copied

Definition at line 77 of file plane3.h.

template<typename T>

BALL::TPlane3< T >::TPlane3	(	const TVector3< T > &	point,
		const TVector3< T > &	normal
	)

inline

Detailed constructor. Create a new instances of TPlane3 from a point and the normal.

Parameters

point	assigned to `p`
normal	assigned to `n`

Definition at line 89 of file plane3.h.

template<typename T>

BALL::TPlane3< T >::TPlane3	(	const TVector3< T > &	a,
		const TVector3< T > &	b,
		const TVector3< T > &	c
	)

inline

Detailed constructor. Create a new instance of TPlane3 from three points.

Parameters

a	assigned to `p`
a,b,c	are used to calculate the normal `n`

Definition at line 101 of file plane3.h.

template<typename T>

BALL::TPlane3< T >::TPlane3	(	const T &	a,
		const T &	b,
		const T &	c,
		const T &	d
	)

inline

Constructor. Create a new TPlane3 object from four T values. Form: COORDINATE (ax + by + cz + d = 0)

Parameters

a,b,c are used to calculate the normal n and the point p

Exceptions

Exception::DivisionByZero if a == b == c == 0

Definition at line 114 of file plane3.h.

template<typename T>

virtual BALL::TPlane3< T >::~TPlane3 ( )

inlinevirtual

Destructor. Destructs the TPlane3 object. As there are no dynamic data structures, nothing happens.

Definition at line 139 of file plane3.h.

Member Function Documentation

template<typename T>

virtual void BALL::TPlane3< T >::clear ( )

inlinevirtual

Clear method. The values are set to 0.

Definition at line 147 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::dump	(	std::ostream &	s = `std::cout`,
		Size	depth = `0`
	)		const

inline

Internal state dump. Dump the current internal state of {*this} to the output ostream s with dumping depth depth .

Parameters

s	- output stream where to output the internal state of {*this}
depth	- the dumping depth

Definition at line 344 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::get ( TPlane3< T > & plane ) const

inline

Assign to another instance of Plane3. Assigns the components to another plane.

Parameters

plane the plane to be assigned to

Definition at line 223 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::get	(	TVector3< T > &	point,
		TVector3< T > &	normal
	)		const

inline

Assign to a point and a normal.

Parameters

point	the point to be assigned to
normal	the normal to be assigned to

Definition at line 234 of file plane3.h.

template<typename T>

bool BALL::TPlane3< T >::has ( const TVector3< T > & point ) const

inline

Test whether a given point is a member of the plane.

Parameters

point the point to be tested

Returns: bool, true or false

Definition at line 307 of file plane3.h.

template<typename T>

bool BALL::TPlane3< T >::has ( const TLine3< T > & line ) const

inline

Test whether a given line is a member of the plane.

Parameters

line	the line to be tested

Returns: bool, true or false

Definition at line 317 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::hessify ( )

inline

Hessify the plane. The normal is scaled with its length: $\{x|y|z\} *= \sqrt{x^2 + y^2 + z^2}$ . If the dot product of the point with the normal is less then zero, the normal is negated.

Definition at line 269 of file plane3.h.

template<typename T>

bool BALL::TPlane3< T >::isValid ( ) const

inline

Test whether instance is valid. always retruns true

Returns: bool true

Definition at line 332 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::normalize ( )

inline

Normalize the the normal of the plane. The normal is scaled with its length: $\{x|y|z\} *= \sqrt{x^2 + y^2 + z^2}$ .

Exceptions

Exception::DivisionByZero if the length of the normal is 0

Definition at line 251 of file plane3.h.

template<typename T>

bool BALL::TPlane3< T >::operator!= ( const TPlane3< T > & plane ) const

inline

Inequality operator.

Returns: bool, false if all components are equal, true otherwise

Definition at line 297 of file plane3.h.

template<typename T>

TPlane3& BALL::TPlane3< T >::operator= ( const TPlane3< T > & plane )

inline

Assignment operator. Assign the components from another instance of plane.

Parameters

plane the plane to assign from

Definition at line 210 of file plane3.h.

template<typename T>

bool BALL::TPlane3< T >::operator== ( const TPlane3< T > & plane ) const

inline

Equality operator.

Returns: bool, true if all components are equal, false otherwise

Definition at line 288 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::set ( const TPlane3< T > & plane )

inline

Swap the contents of two instances of planes.

Parameters

vector	the plane to swap contents with
bool	ignored - just for interface consistency

Definition at line 176 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::set	(	const TVector3< T > &	point,
		const TVector3< T > &	normal
	)

inline

Assign from a point and a normal.

Parameters

point	the new point
normal	the new normal

Definition at line 187 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::set	(	const TVector3< T > &	a,
		const TVector3< T > &	b,
		const TVector3< T > &	c
	)

inline

Assign from three points.

Parameters

a	the first point
b	the second point
c	the third point

Definition at line 199 of file plane3.h.

template<typename T>

void BALL::TPlane3< T >::swap ( TPlane3< T > & plane )

inline

Definition at line 161 of file plane3.h.

Member Data Documentation

template<typename T>

TVector3<T> BALL::TPlane3< T >::n

The normal

Definition at line 370 of file plane3.h.

template<typename T>

TVector3<T> BALL::TPlane3< T >::p

The point

Definition at line 366 of file plane3.h.

Public Member Functions

Public Attributes

Detailed Description

template<typename T> class BALL::TPlane3< T >

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename T>
class BALL::TPlane3< T >