TMatrix3< T > Class Template Reference

The TMatrix3 class provides a simple 3x3 square matrix class for geometry applications. More...

Public Types
typedef TVector3< T >	tColumn
typedef TVector3< T >	tRow

Public Member Functions
	TMatrix3 ()
	TMatrix3 (const tColumn &iCol0, const tColumn &iCol1, const tColumn &iCol2)
	TMatrix3 (const TMatrix3 &iOther)
template<typename U >
	TMatrix3 (const TMatrix3< U > &iOther)
	TMatrix3 (T iM00, T iM01, T iM02, T iM10, T iM11, T iM12, T iM20, T iM21, T iM22)
	TMatrix3 (T iValue)
TVector2< T >	ApplyHomography (const TVector2< T > &iPoint) const
T *	Data ()
const T *	Data () const
void	Decompose (T *oTx, T *oTy, T *oRotation, T *oScaleX, T *oScaleY, T *oSkewX, T *oSkewY) const
T	Determinant () const
TMatrix3	Inverse () const
bool	operator!= (const TMatrix3 &iOther) const
TMatrix3 &	operator*= (const TMatrix3 &iOther)
TMatrix3 &	operator*= (T iValue)
TMatrix3 &	operator+= (const TMatrix3 &iOther)
TMatrix3 &	operator+= (T iValue)
TMatrix3	operator- () const
TMatrix3 &	operator-= (const TMatrix3 &iOther)
TMatrix3 &	operator-= (T iValue)
TMatrix3 &	operator/= (const TMatrix3 &iOther)
TMatrix3 &	operator/= (T iValue)
TMatrix3 &	operator= (const TMatrix3 &iOther)
bool	operator== (const TMatrix3 &iOther) const
tColumn &	operator[] (int iIndex)
const tColumn &	operator[] (int iIndex) const
TMatrix3	Transpose () const

Static Public Member Functions
static TMatrix3	MakeHomography (const TVector2< T > iSrc[], const TVector2< T > iDst[])
static TMatrix3	MakeRotationMatrix (T iAngleRad)
static TMatrix3	MakeScaleMatrix (T iScaleX, T iScaleY)
static TMatrix3	MakeSkewMatrix (T iSkewX, T iSkewY)
static TMatrix3	MakeTranslationMatrix (T iX, T iY)

Detailed Description

template<typename T>
class TMatrix3< T >

The TMatrix3 class is a template class that provides basic matrix functionnalities, it can be used with any numeric types, ranging from integer values to floating point values.

TMatrix3 are column-major ordered.

Member Typedef Documentation

tColumn

template<typename T >

typedef TVector3< T > TMatrix3< T >::tColumn

tRow

template<typename T >

typedef TVector3< T > TMatrix3< T >::tRow

Constructor & Destructor Documentation

TMatrix3() [1/6]

template<typename T >

TMatrix3< T >::TMatrix3

(

)

Default constructor ( identity matrix ).

TMatrix3() [2/6]

template<typename T >

TMatrix3< T >::TMatrix3

(

T

iValue

)

Constructor from input diagonal value.

TMatrix3() [3/6]

template<typename T >

TMatrix3< T >::TMatrix3	(	T	iM00,
		T	iM01,
		T	iM02,
		T	iM10,
		T	iM11,
		T	iM12,
		T	iM20,
		T	iM21,
		T	iM22
	)

Constructor from input cells values.

TMatrix3() [4/6]

template<typename T >

TMatrix3< T >::TMatrix3	(	const tColumn &	iCol0,
		const tColumn &	iCol1,
		const tColumn &	iCol2
	)

Constructor from row vector values.

TMatrix3() [5/6]

template<typename T >

TMatrix3< T >::TMatrix3

(

const TMatrix3< T > &

iOther

)

Copy constructor.

TMatrix3() [6/6]

template<typename T >

template<typename U >

TMatrix3< T >::TMatrix3

(

const TMatrix3< U > &

iOther

)

Conversion constructor from other matrix type.

Member Function Documentation

ApplyHomography()

template<typename T >

TVector2< T > TMatrix3< T >::ApplyHomography

(

const TVector2< T > &

iPoint

)

const

Apply the projective perspective transform or homography to the point

Data() [1/2]

template<typename T >

T * TMatrix3< T >::Data

(

)

Return a pointer to the base storage.

Data() [2/2]

template<typename T >

const T * TMatrix3< T >::Data

(

)

const

Return a pointer to the base storage.

Decompose()

template<typename T >

void TMatrix3< T >::Decompose	(	T *	oTx,
		T *	oTy,
		T *	oRotation,
		T *	oScaleX,
		T *	oScaleY,
		T *	oSkewX,
		T *	oSkewY
	)		const

Decompose the matrix if it represents an affine transform

Determinant()

template<typename T >

T TMatrix3< T >::Determinant

(

)

const

Obtain the determinant of the matrix.

Inverse()

template<typename T >

TMatrix3< T > TMatrix3< T >::Inverse

(

)

const

Obtain the inverse of the matrix.

MakeHomography()

template<typename T >

TMatrix3< T > TMatrix3< T >::MakeHomography ( const TVector2< T >  iSrc[], const TVector2< T >  iDst[]  )

static

Static maker for homography, 2D perspective transform.

MakeRotationMatrix()

template<typename T >

TMatrix3< T > TMatrix3< T >::MakeRotationMatrix ( T  iAngleRad )

static

Static maker for 2D 3x3 rotation matrix.

MakeScaleMatrix()

template<typename T >

TMatrix3< T > TMatrix3< T >::MakeScaleMatrix ( T  iScaleX, T  iScaleY  )

static

Static maker for 2D 3x3 scale matrix.

MakeSkewMatrix()

template<typename T >

TMatrix3< T > TMatrix3< T >::MakeSkewMatrix ( T  iSkewX, T  iSkewY  )

static

Static maker for 2D 3x3 skew matrix.

MakeTranslationMatrix()

template<typename T >

TMatrix3< T > TMatrix3< T >::MakeTranslationMatrix ( T  iX, T  iY  )

static

Static maker for 2D 3x3 translation matrix.

operator!=()

template<typename T >

bool TMatrix3< T >::operator!=

(

const TMatrix3< T > &

iOther

)

const

Inequality operator.

operator*=() [1/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator*=

(

const TMatrix3< T > &

iOther

)

Unary multiplication operator with matrix.

operator*=() [2/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator*=

(

T

iValue

)

Unary multiplication operator with value.

operator+=() [1/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator+=

(

const TMatrix3< T > &

iOther

)

Unary addition operator with matrix.

operator+=() [2/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator+=

(

T

iValue

)

Unary addition operator with value.

operator-()

template<typename T >

TMatrix3< T > TMatrix3< T >::operator-

(

)

const

Unary negative operator.

operator-=() [1/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator-=

(

const TMatrix3< T > &

iOther

)

Unary substraction operator with matrix.

operator-=() [2/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator-=

(

T

iValue

)

Unary substraction operator with value.

operator/=() [1/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator/=

(

const TMatrix3< T > &

iOther

)

Unary division operator with matrix.

operator/=() [2/2]

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator/=

(

T

iValue

)

Unary division operator with value.

operator=()

template<typename T >

TMatrix3< T > & TMatrix3< T >::operator=

(

const TMatrix3< T > &

iOther

)

Assignment operator from matrix.

operator==()

template<typename T >

bool TMatrix3< T >::operator==

(

const TMatrix3< T > &

iOther

)

const

Equality operator.

operator[]() [1/2]

template<typename T >

TMatrix3< T >::tColumn & TMatrix3< T >::operator[]

(

int

iIndex

)

Subscript accessor for matrix columns.

operator[]() [2/2]

template<typename T >

const TMatrix3< T >::tColumn & TMatrix3< T >::operator[]

(

int

iIndex

)

const

Subscript accessor for const matrix columns.

Transpose()

template<typename T >

TMatrix3< T > TMatrix3< T >::Transpose

(

)

const

Obtain the transpose of the matrix.