RAffine2D Class Reference

#include <RAffine2D.hh>

Inheritance diagram for RAffine2D:

Public Member Functions
	RAffine2D ()
	RAffine2D (const RMatrix2D &m)
	RAffine2D (const RVector2D &t, const RMatrix2D &m=RMatrix2D::id)
	RAffine2D (const RVector2D &v0, const RVector2D &v1, const RVector2D &v2, const RMatrixDef type=axisVector)
	RAffine2D (const RAffine2D &a)
RAffine2D &	operator= (const RAffine2D &a)
RAffine2D &	operator= (const RMatrix2D &m)
RAffine2D &	operator= (const RVector2D &v)
virtual	~RAffine2D ()
virtual RMatrix2D	GetMatrix () const
virtual RVector2D	GetTranslation () const
virtual RVector2D	GetVector () const
virtual RPoint2D	GetOrigin () const
virtual void	SetOrigin (const RPoint2D ctr)
virtual void	SetAxis (const u_int n, const RPoint2D v)
RAffine2D	Inverse () const
RVector2D	Transform (const RVector2D &v) const
RAffine2D	operator+ () const
RAffine2D	operator- () const
RAffine2D	operator+= (const RAffine2D &t)
RAffine2D	operator-= (const RAffine2D &t)
RAffine2D	operator*= (const RAffine2D &t)
RAffine2D	operator*= (const Double_t r)
RAffine2D	operator/= (const Double_t r)
RAffine2D	operator+ (const RAffine2D &t) const
RAffine2D	operator- (const RAffine2D &t) const
RAffine2D	operator* (const RAffine2D &t) const
RVector2D	operator* (const RVector2D &v) const
RAffine2D	operator* (const Double_t r) const
RAffine2D	operator/ (const Double_t r) const
	ClassDef (RAffine2D, 0)
Public Member Functions inherited from RMatrix2D
	RMatrix2D (const Double_t diag=1.)
	RMatrix2D (const Double_t m00, const Double_t m01, const Double_t m10, const Double_t m11)
	RMatrix2D (const RVector2D v1, const RVector2D v2, const RMatrixDef type=columnVector)
	RMatrix2D (const RMatrix2D &m)
virtual RVector2D	operator[] (const u_int n) const
virtual RVector2D	GetColumn (const u_int n) const
virtual RVector2D	GetLine (const u_int n) const
virtual RVector2D	GetAxis (const u_int n) const
virtual void	SetColumn (const u_int n, const RPoint2D v)
virtual void	SetLine (const u_int n, const RPoint2D v)
Double_t	Determinant () const
RMatrix2D	Inverse () const
RVector2D	Transform (const RVector2D &v) const
RMatrix2D	operator+ () const
RMatrix2D	operator- () const
RMatrix2D	operator+= (const RMatrix2D &m)
RMatrix2D	operator-= (const RMatrix2D &m)
RMatrix2D	operator*= (const RMatrix2D &m)
RMatrix2D	operator*= (const Double_t r)
RMatrix2D	operator/= (const Double_t r)
RMatrix2D	operator+ (const RMatrix2D &m) const
RMatrix2D	operator- (const RMatrix2D &m) const
RMatrix2D	operator* (const RMatrix2D &m) const
RVector2D	operator* (const RVector2D &v) const
RMatrix2D	operator* (const Double_t r) const
RMatrix2D	operator/ (const Double_t r) const
	ClassDef (RMatrix2D, 0)

Protected Attributes
RVector2D	tr
	Translation vector (new center)
Protected Attributes inherited from RMatrix2D
Double_t	me [4]
	Eléménts de matrice.

Private Member Functions
	GObject (RAffine2D)

Additional Inherited Members
Public Types inherited from RMatrix2D
enum	RMatrixDef { columnVector = 0, lineVector = 1, axisVector = 2 }
	Interprétation des vecteurs à la création d'une matrice. More...
Static Public Member Functions inherited from RMatrix2D
static RMatrix2D	Rotation (const Double_t angle)
Static Public Attributes inherited from RMatrix2D
static const RMatrix2D	null = RMatrix2D(0.)
	Matrice nulle.
static const RMatrix2D	id = RMatrix2D(1.)
	Matrice identité
static const Double_t	zero = RVector2D::zero
	Limites de test du zéro

Detailed Description

This class defines a transformation corresponding to a matrix product and a vector translation. It corresponds to a referential change (in position and orientation).

It can be defined from:

• the transformation matrix and the translation vector
• the new center and the new axis vector, expressed in the initial frame coordinates.

This transformation can also be used to define an ellipse.

Constructor & Destructor Documentation

RAffine2D::RAffine2D ( )

inline

Default constructor: identity transformation.

References RVector2D::null, and tr.

Referenced by Inverse(), and SetAxis().

RAffine2D::RAffine2D ( const RMatrix2D &  m )

inline

Constructor from a matrix.

Parameters

m	transformation matrix

References RVector2D::null, and tr.

RAffine2D::RAffine2D ( const RVector2D &  t, const RMatrix2D &  m = RMatrix2D::id  )

inline

Constructor from vector and matrix.

Parameters

t	translation vector
m	transformation matrix

References tr.

RAffine2D::RAffine2D	(	const RVector2D &	v0,
		const RVector2D &	v1,
		const RVector2D &	v2,
		const RMatrixDef	type = axisVector
	)

Constructor from 3 vectors: either the translation and the matrix vectors, either the center and the axis vectors, depending on type argument (see RMatrix2D class for vectors v1 et v2 interpretation).

If v1 and v2 are axis of the new frame, v0 is considered as the center, else v0 is considered as the translation vector (which is just the opposite).

Parameters

v0	translation or center
v1	first axis or matrix vector
v2	second axis or matrix vector
type	vectors interpretation

RAffine2D::RAffine2D ( const RAffine2D &  a )

inline

Copy Constructor.

Parameters

a	transformation to copy

References tr.

RAffine2D::~RAffine2D ( )

inlinevirtual

Destructor.

Member Function Documentation

RAffine2D::GObject ( RAffine2D  )

private

Macro from GCpp library that defines the following functions:

• ClassName(): return the real class name of the object
• StaticClassName(): return the used class name of the object (that may be a base class of the real object).
• IsInstanceOf<T>(): return true if the current object is an instance of the template class name argument
• Clone(): return an allocated copy of the object.

RAffine2D & RAffine2D::operator=

(

const RAffine2D &

a

)

Affectation operator.

Parameters

a	transformation to copy

References tr.

RAffine2D & RAffine2D::operator= ( const RMatrix2D &  m )

virtual

Affectation from a matrix (null translation).

Parameters

m	matrix to set

Reimplemented from RMatrix2D.

References RVector2D::null, and tr.

RAffine2D & RAffine2D::operator=

(

const RVector2D &

v

)

Affectation from a vector (identity matrix).

Parameters

v	vector to set

References RMatrix2D::id, and tr.

RMatrix2D RAffine2D::GetMatrix ( ) const

inlinevirtual

Get the transformation matrix.

Referenced by GetOrigin(), operator*(), operator+(), operator-(), SetOrigin(), and Transform().

RVector2D RAffine2D::GetTranslation ( ) const

inlinevirtual

Get the translation vector.

References tr.

RVector2D RAffine2D::GetVector ( ) const

inlinevirtual

Get the translation vector.

References tr.

Referenced by operator*(), and Transform().

RPoint2D RAffine2D::GetOrigin ( ) const

inlinevirtual

Get the origin point (opposite to the translation).

References GetMatrix(), Inverse(), and tr.

Referenced by RContourBaseEllipse::GetCenter(), and SetAxis().

void RAffine2D::SetOrigin ( const RPoint2D  ctr )

inlinevirtual

Set the transformation centre.

Parameters

ctr	new ellipse center

References GetMatrix(), and tr.

Referenced by RContourBaseEllipse::SetCenter().

void RAffine2D::SetAxis ( const u_int  n, const RPoint2D  v  )

virtual

Set transformation axis, with no change of the center (which means that the translation vector may be modified).

Parameters

n	axis number (0 or 1)
v	new axis vector

Reimplemented from RMatrix2D.

References RMatrix2D::axisVector, RMatrix2D::GetAxis(), GetOrigin(), and RAffine2D().

RAffine2D RAffine2D::Inverse ( ) const

inline

Invert transformation.

References RMatrix2D::Inverse(), RAffine2D(), and tr.

Referenced by GetOrigin().

RVector2D RAffine2D::Transform ( const RVector2D &  v ) const

inline

Applay the transformation to a vector.

Parameters

v

vector

References GetMatrix(), and GetVector().

Referenced by RContourBaseEllipse::CheckPoint(), and RContourBaseEllipse::NormalisedDistance().

RAffine2D RAffine2D::operator+ ( ) const

inline

Unary sign operator +.

RAffine2D RAffine2D::operator- ( ) const

inline

Unary sign operator +.

References GetMatrix(), and tr.

RAffine2D RAffine2D::operator+= ( const RAffine2D &  t )

inline

Transformations addition and affectation.

Parameters

t	operand transformation

RAffine2D RAffine2D::operator-= ( const RAffine2D &  t )

inline

Transformations subtraction and affectation.

Parameters

t	operand transformation

RAffine2D RAffine2D::operator*= ( const RAffine2D &  t )

inline

Transformations composition and affectation.

Parameters

t	operand transformation

RAffine2D RAffine2D::operator*= ( const Double_t  r )

inline

Transformations product with scalar value and affectation.

Parameters

r	real value (scalar)

RAffine2D RAffine2D::operator/= ( const Double_t  r )

inline

Transformations division by scalar value and affectation.

Parameters

r	real value (scalar)

RAffine2D RAffine2D::operator+ ( const RAffine2D &  t ) const

inline

Transformations addition.

Parameters

t	operand transformation

References GetMatrix(), and tr.

RAffine2D RAffine2D::operator- ( const RAffine2D &  t ) const

inline

Transformations subtraction.

Parameters

t	operand transformation

References GetMatrix(), and tr.

RAffine2D RAffine2D::operator* ( const RAffine2D &  t ) const

inline

Transformations composition.

Parameters

t	operand transformation

References GetMatrix(), and GetVector().

RVector2D RAffine2D::operator* ( const RVector2D &  v ) const

inline

Linear application to a vector.

Parameters

v	operand vector

References GetMatrix(), and GetVector().

RAffine2D RAffine2D::operator* ( const Double_t  r ) const

inline

Multiplication with a scalar value.

Parameters

r	real value (scalar)

References GetMatrix(), and GetVector().

RAffine2D RAffine2D::operator/ ( const Double_t  r ) const

inline

Division by a scalar value.

Parameters

r	real value (scalar)

RAffine2D::ClassDef	(	RAffine2D	,
		0
	)

For ROOT dictionary.

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

• RAffine2D.hh
• RAffine2D.icc
• RAffine2D.cpp