RMatrix2D Class Reference

#include <RMatrix2D.hh>

Inheritance diagram for RMatrix2D:

Public Types
enum	RMatrixDef { columnVector = 0, lineVector = 1, axisVector = 2 }
	Interprétation des vecteurs à la création d'une matrice. More...

Public Member Functions
	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 RMatrix2D &	operator= (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)
virtual void	SetAxis (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)

Static Public Member Functions
static RMatrix2D	Rotation (const Double_t angle)

Static Public Attributes
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

Protected Attributes
Double_t	me [4]
	Eléménts de matrice.

Private Member Functions
	GObject (RMatrix2D)

Detailed Description

Matrice dans un espace à 2 dimensions

Une matrice correspond à la transformation des coordonnées dans un changement de repère (cf. Algèbre 2D).

Note

• la matrice par défaut est la matrice identité

Member Enumeration Documentation

enum RMatrix2D::RMatrixDef

Enumerator
columnVector	Définition de la matrice par vecteurs colonnes.
lineVector	Définition de la matrice par vecteurs lignes.
axisVector	Définition de la matrice par vecteurs d'axes du nouveau repère

Constructor & Destructor Documentation

RMatrix2D::RMatrix2D

(

const Double_t

diag = 1.

)

Diagonal matrix constructor.

Parameters

diag	diagonal elements value

Referenced by Inverse(), and SetAxis().

RMatrix2D::RMatrix2D	(	const Double_t	m00,
		const Double_t	m01,
		const Double_t	m10,
		const Double_t	m11
	)

Matrix constructor from elements.

Parameters

m00	matrix element ligne 0 column 0
m01	matrix element ligne 0 column 1
m10	matrix element ligne 1 column 0
m11	matrix element ligne 1 column 1

References me.

RMatrix2D::RMatrix2D	(	const RVector2D	v1,
		const RVector2D	v2,
		const RMatrixDef	type = columnVector
	)

Matrix constructor from 2 vectors. Depending on type parameters, the vectors are used in a different way to create the matrix:

• RMatrixDef::columnVector : column vectors
• RMatrixDef::lineVector : line vectors
• RMatrixDef::axisVector : vectors (i', j') of axis from the transformation

  Parameters

  v1	first definition vector
  v2	second definition vector
  type	vectors interpretation

References axisVector, lineVector, me, RVector2D::X(), and RVector2D::Y().

RMatrix2D::RMatrix2D

(

const RMatrix2D &

m

)

Copy constructor.

Parameters

m	matrix to copy

References me.

Member Function Documentation

RMatrix2D::GObject ( RMatrix2D  )

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.

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

virtual

Affectation operator.

Parameters

m	matrix to copy

Reimplemented in RAffine2D.

References me.

RVector2D RMatrix2D::operator[] ( const u_int  n ) const

virtual

Get a matrix line vector.

Parameters

n	line number

References me.

RVector2D RMatrix2D::GetColumn ( const u_int  n ) const

virtual

Get a matrix column vector.

Parameters

n	column number

References me.

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

RVector2D RMatrix2D::GetLine ( const u_int  n ) const

virtual

Get a matrix line vector.

Parameters

n	line number

References me.

Referenced by RContourBaseEllipse::GetAxisA(), RContourBaseEllipse::GetAxisB(), and operator*().

RVector2D RMatrix2D::GetAxis ( const u_int  n ) const

virtual

Return one of the transformation axis (see class description).

Parameters

n	axis number

References Determinant(), and me.

Referenced by Inverse(), RAffine2D::SetAxis(), and SetAxis().

void RMatrix2D::SetColumn ( const u_int  n, const RPoint2D  v  )

virtual

Set a matrix column vector.

Parameters

n	column number (0 ou 1)
v	vector

References me.

void RMatrix2D::SetLine ( const u_int  n, const RPoint2D  v  )

virtual

Set a matrix line vector.

Parameters

n	line number (0 ou 1)
v	vector

References me.

void RMatrix2D::SetAxis ( const u_int  n, const RPoint2D  v  )

virtual

Set a transformation axis vector.

Parameters

n	axis number (0 ou 1)
v	vector

Reimplemented in RAffine2D.

References axisVector, GetAxis(), and RMatrix2D().

Double_t RMatrix2D::Determinant ( ) const

inline

Determinant calculation.

References me.

Referenced by GetAxis(), RContourBaseEllipse::GetAxisA(), RContourBaseEllipse::GetAxisB(), and Inverse().

RMatrix2D RMatrix2D::Inverse ( ) const

inline

Return invert matrix.

References columnVector, Determinant(), GetAxis(), RMatrix2D(), and zero.

Referenced by RAffine2D::Inverse().

RVector2D RMatrix2D::Transform ( const RVector2D &  v ) const

inline

Apply transformation to a vector.

Parameters

v	operand vector

RMatrix2D RMatrix2D::operator+ ( ) const

inline

Unary sign operator +.

RMatrix2D RMatrix2D::operator- ( ) const

inline

Unary sign operator -.

References me.

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

inline

Addition and affectation.

Parameters

m	operand matrix

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

inline

Subtraction and affectation.

Parameters

m	operand matrix

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

inline

Matrix product and affectation.

Parameters

m	operand matrix

RMatrix2D RMatrix2D::operator*= ( const Double_t  r )

inline

Multiplication by scalar value and affectation.

Parameters

r	real value (scalar)

RMatrix2D RMatrix2D::operator/= ( const Double_t  r )

inline

Division by a scalar value and affectation.

Parameters

r	real value (scalar)

RMatrix2D RMatrix2D::operator+ ( const RMatrix2D &  m ) const

inline

Matrices addition.

Parameters

m	operand matrix

References me.

RMatrix2D RMatrix2D::operator- ( const RMatrix2D &  m ) const

inline

Matrices subtraction.

Parameters

m	operand matrix

References me.

RMatrix2D RMatrix2D::operator* ( const RMatrix2D &  m ) const

inline

Matrices product.

Parameters

m	operand matrix

References GetColumn(), and GetLine().

RVector2D RMatrix2D::operator* ( const RVector2D &  v ) const

inline

Linear application to a vector

Parameters

v	operand vector

References GetLine().

RMatrix2D RMatrix2D::operator* ( const Double_t  r ) const

inline

Multiplication by a scalar value.

Parameters

r	real value (scalar)

References me.

RMatrix2D RMatrix2D::operator/ ( const Double_t  r ) const

inline

Division by a scalar value.

Parameters

r	real value (scalar)

RMatrix2D RMatrix2D::Rotation ( const Double_t  angle )

inlinestatic

Get a rotation matrix.

Parameters

angle

rotation angle

RMatrix2D::ClassDef	(	RMatrix2D	,
		0
	)

For ROOT dictionary.

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

• RMatrix2D.hh
• RMatrix2D.icc
• RMatrix2D.cpp