MATRIX3x3 describes a general 3x3 matrix. More...

#include <matrix3x3.h>

Public Member Functions
	MATRIX3x3 ()
	Initialize all matrix members to zero.

	MATRIX3x3 (VECTOR3< T > a1, VECTOR3< T > a2, VECTOR3< T > a3)
	Initialize with 3 vectors.

	MATRIX3x3 (T a00, T a01, T a02, T a10, T a11, T a12, T a20, T a21, T a22)
	Initialize with given matrix members.

void	SetIdentity ()
	Set the matrix to the identity matrix.

void	SetTranslation (VECTOR2< T > aTranslation)
	Set the translation components of the matrix.

VECTOR2< T >	GetTranslation () const
	Get the translation components of the matrix.

void	SetRotation (T aAngle)
	Set the rotation components of the matrix.

void	SetScale (VECTOR2< T > aScale)
	Set the scale components of the matrix.

VECTOR2< T >	GetScale () const
	Get the scale components of the matrix.

T	Determinant () const
	Compute the determinant of the matrix.

MATRIX3x3	Inverse () const
	Determine the inverse of the matrix.

MATRIX3x3	Transpose () const
	Get the transpose of the matrix.

bool	operator== (const MATRIX3x3< T > &aOtherMatrix) const
	Not equality operator.

bool	operator!= (const MATRIX3x3< T > &aOtherMatrix) const

Public Attributes
T	m_data [3][3]

Friends
std::ostream &	operator<< (std::ostream &aStream, const MATRIX3x3< T > &aMatrix)
	Output to a stream.

Detailed Description

template<class T>
class MATRIX3x3< T >

MATRIX3x3 describes a general 3x3 matrix.

Any linear transformation in 2D can be represented by a homogeneous 3x3 transformation matrix. Given a vector x, the linear transformation with the transformation matrix M is given as

x' = M * x

To represent an affine transformation, homogeneous coordinates have to be used. That means the 2D-vector (x, y) has to be extended to a 3D-vector by a third component (x, y, 1).

Transformations can be easily combined by matrix multiplication.

A * (B * x ) = (A * B) * x ( A, B: transformation matrices, x: vector )

This class was implemented using templates, so flexible type combinations are possible.

Definition at line 62 of file matrix3x3.h.

Constructor & Destructor Documentation

◆ MATRIX3x3() [1/3]

template<class T>

MATRIX3x3< T >::MATRIX3x3 ( )

Initialize all matrix members to zero.

Definition at line 193 of file matrix3x3.h.

References m_data.

Referenced by Inverse(), operator!=(), operator<<, operator==(), and Transpose().

◆ MATRIX3x3() [2/3]

template<class T>

MATRIX3x3< T >::MATRIX3x3	(	VECTOR3< T >	a1,
		VECTOR3< T >	a2,
		VECTOR3< T >	a3 )

Initialize with 3 vectors.

Definition at line 206 of file matrix3x3.h.

References m_data, VECTOR3< T >::x, VECTOR3< T >::y, and VECTOR3< T >::z.

◆ MATRIX3x3() [3/3]

template<class T>

MATRIX3x3< T >::MATRIX3x3	(	T	a00,
		T	a01,
		T	a02,
		T	a10,
		T	a11,
		T	a12,
		T	a20,
		T	a21,
		T	a22 )

Initialize with given matrix members.

Parameters

a00	is the component [0,0].
a01	is the component [0,1].
a02	is the component [0,2].
a10	is the component [1,0].
a11	is the component [1,1].
a12	is the component [1,2].
a20	is the component [2,0].
a21	is the component [2,1].
a22	is the component [2,2].

Definition at line 223 of file matrix3x3.h.

References m_data, and T.

Member Function Documentation

◆ Determinant()

template<class T>

T MATRIX3x3< T >::Determinant ( ) const

Compute the determinant of the matrix.

Returns: the determinant value.

Definition at line 351 of file matrix3x3.h.

References m_data, and T.

Referenced by Inverse().

◆ GetScale()

template<class T>

VECTOR2< T > MATRIX3x3< T >::GetScale ( ) const

Get the scale components of the matrix.

Returns: the scale factors, specified as 2D-vector.

Definition at line 295 of file matrix3x3.h.

References m_data, and result.

Referenced by DXF_IMPORT_PLUGIN::addArc(), KIGFX::SCH_PAINTER::drawAnchor(), KIGFX::SCH_PAINTER::getShadowWidth(), KIGFX::GAL::GetVisibleWorldExtents(), KIGFX::OPENGL_GAL::getWorldPixelSize(), KIGFX::VIEW::ToScreen(), KIGFX::VIEW::ToScreen(), KIGFX::VIEW::ToWorld(), KIGFX::VIEW::ToWorld(), ROUTER_STATUS_VIEW_ITEM::ViewDraw(), and TUNING_STATUS_VIEW_ITEM::ViewDraw().

◆ GetTranslation()

template<class T>

VECTOR2< T > MATRIX3x3< T >::GetTranslation ( ) const

Get the translation components of the matrix.

Returns: is the translation (2D-vector).

Definition at line 264 of file matrix3x3.h.

References m_data, and result.

◆ Inverse()

template<class T>

MATRIX3x3< T > MATRIX3x3< T >::Inverse ( ) const

Determine the inverse of the matrix.

The inverse of a transformation matrix can be used to revert a transformation.

x = Minv * ( M * x ) ( M: transformation matrix, Minv: inverse transformation matrix, x: vector)

Returns: the inverse matrix.

Definition at line 384 of file matrix3x3.h.

References Determinant(), m_data, MATRIX3x3(), and result.

◆ operator!=()

template<class T>

bool MATRIX3x3< T >::operator!= ( const MATRIX3x3< T > & aOtherMatrix ) const

Definition at line 458 of file matrix3x3.h.

References m_data, and MATRIX3x3().

◆ operator==()

template<class T>

bool MATRIX3x3< T >::operator== ( const MATRIX3x3< T > & aOtherMatrix ) const

Not equality operator.

Definition at line 443 of file matrix3x3.h.

References m_data, and MATRIX3x3().

◆ SetIdentity()

template<class T>

void MATRIX3x3< T >::SetIdentity ( void )

Set the matrix to the identity matrix.

The diagonal components of the matrix are set to 1.

Definition at line 240 of file matrix3x3.h.

References m_data.

Referenced by KIGFX::CAIRO_PRINT_GAL::ComputeWorldScreenMatrix(), and KIGFX::GAL::ComputeWorldScreenMatrix().

◆ SetRotation()

template<class T>

void MATRIX3x3< T >::SetRotation ( T aAngle )

Set the rotation components of the matrix.

The angle needs to have a positive value for an anti-clockwise rotation.

Parameters

aAngle is the rotation angle in [rad].

Definition at line 275 of file matrix3x3.h.

References m_data, and T.

Referenced by DXF_IMPORT_PLUGIN::addInsert(), KIGFX::CAIRO_PRINT_GAL::ComputeWorldScreenMatrix(), and KIGFX::GAL::ComputeWorldScreenMatrix().

◆ SetScale()

template<class T>

void MATRIX3x3< T >::SetScale ( VECTOR2< T > aScale )

Set the scale components of the matrix.

Parameters

aScale contains the scale factors, specified as 2D-vector.

Definition at line 287 of file matrix3x3.h.

References m_data, VECTOR2< T >::x, and VECTOR2< T >::y.

Referenced by KIGFX::CAIRO_PRINT_GAL::ComputeWorldScreenMatrix(), and KIGFX::GAL::ComputeWorldScreenMatrix().

◆ SetTranslation()

template<class T>

void MATRIX3x3< T >::SetTranslation ( VECTOR2< T > aTranslation )

Set the translation components of the matrix.

Parameters

aTranslation is the translation, specified as 2D-vector.

Definition at line 256 of file matrix3x3.h.

References m_data, VECTOR2< T >::x, and VECTOR2< T >::y.

Referenced by KIGFX::CAIRO_PRINT_GAL::ComputeWorldScreenMatrix(), and KIGFX::GAL::ComputeWorldScreenMatrix().

◆ Transpose()

template<class T>

MATRIX3x3< T > MATRIX3x3< T >::Transpose ( ) const

Get the transpose of the matrix.

Returns: the transpose matrix.

Definition at line 405 of file matrix3x3.h.

References m_data, MATRIX3x3(), and result.

Friends And Related Symbol Documentation

◆ operator<<

template<class T>

std::ostream & operator<<	(	std::ostream &	aStream,
		const MATRIX3x3< T > &	aMatrix )

friend

Output to a stream.

Equality operator

Definition at line 422 of file matrix3x3.h.

References m_data, and MATRIX3x3().

Member Data Documentation

◆ m_data

template<class T>

T MATRIX3x3< T >::m_data[3][3]

Definition at line 65 of file matrix3x3.h.

Referenced by Determinant(), GetScale(), GetTranslation(), Inverse(), MATRIX3x3(), MATRIX3x3(), MATRIX3x3(), operator!=(), operator*(), operator*(), operator*(), operator*(), operator<<, operator==(), SetIdentity(), SetRotation(), SetScale(), SetTranslation(), KIGFX::CAIRO_GAL_BASE::Transform(), KIGFX::OPENGL_GAL::Transform(), and Transpose().

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

matrix3x3.h

Public Member Functions

Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ MATRIX3x3() [1/3]

◆ MATRIX3x3() [2/3]

◆ MATRIX3x3() [3/3]

Member Function Documentation

◆ Determinant()

◆ GetScale()

◆ GetTranslation()

◆ Inverse()

◆ operator!=()

◆ operator==()

◆ SetIdentity()

◆ SetRotation()

◆ SetScale()

◆ SetTranslation()

◆ Transpose()

Friends And Related Symbol Documentation

◆ operator<<

Member Data Documentation

◆ m_data