A 3x3 matrix. More...

Public Member Functions
	Matrix3 ()
	Constructor.
	Matrix3 (const Matrix3 &m)
	Copy Constructor.
	Matrix3 (const Matrix &m)
	Constructor.
	Matrix3 (float s00, float s01, float s02, float s10, float s11, float s12, float s20, float s21, float s22)
	Constructor.
Matrix3 &	operator= (const Matrix3 &matrix)
	Assignment Operator.
Matrix3 &	operator= (const Matrix &matrix)
	Assignment Operator.
bool	operator== (const Matrix3 &rhs) const
	The equality operator.
bool	operator!= (const Matrix3 &rhs) const
	The inequality operator.
	~Matrix3 ()
	Destructor.
void	SetIdentity ()
	Sets the matrix to the identity matrix.
const float *	AsFloat () const
	Returns the contents of the matrix as an array of 9 floats.
float *	AsFloat ()
	Returns the contents of the matrix as an array of 9 floats.
bool	Invert ()
	Inverts the matrix.
bool	Transpose ()
	Swaps the rows to columns.
void	Scale (float scale)
	Multiplies all elements of the matrix by the scale value.
float	Magnitude () const
	Magnitude returns the average of the absolute values of the elements * 3.
bool	ScaledInverseTranspose ()
	If the matrix is invertible, then this method inverts, transposes and scales the matrix such that the resultant element values average 1.
Static Public Member Functions
static void	Multiply (Matrix3 &result, const Matrix3 &lhs, const Matrix3 &rhs)
	Function to multiply two matrices and store the result onto third.
Static Public Attributes
static const Matrix3	IDENTITY
	The identity matrix.
Friends
DALI_CORE_API std::ostream &	operator<< (std::ostream &o, const Matrix3 &matrix)
	Prints a 3x3 matrix.

Detailed Description

A 3x3 matrix.

The matrix is stored as a flat array and is Column Major, i.e. the storage order is as follows (numbers represent indices of array):

 0  3  6
 1  4  7
 2  5  8

Each axis is contiguous in memory, so the x-axis corresponds to elements 0, 1 and 2, the y-axis corresponds to elements 3, 4 and 5, and the z-axis corresponds to elements 6, 7 and 8.

Since:: 2.4, DALi version 1.0.0

Constructor & Destructor Documentation

Dali::Matrix3::Matrix3 ( )

Constructor.

Since:: 2.4, DALi version 1.0.0

Dali::Matrix3::Matrix3 ( const Matrix3 & m )

Copy Constructor.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in] m A reference to the copied 3x3 matrix

Dali::Matrix3::Matrix3 ( const Matrix & m )

Constructor.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in] m A 4x4 matrix. The translation and shear components are ignored

Dali::Matrix3::Matrix3	(	float	s00,
		float	s01,
		float	s02,
		float	s10,
		float	s11,
		float	s12,
		float	s20,
		float	s21,
		float	s22
	)

Constructor.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in]	s00	First element
[in]	s01	Second element
[in]	s02	Third element
[in]	s10	Fourth element
[in]	s11	Fifth element
[in]	s12	Sixth element
[in]	s20	Seventh element
[in]	s21	Eighth element
[in]	s22	Ninth element

Dali::Matrix3::~Matrix3 ( )

Destructor.

Since:: 2.4, DALi version 1.0.0

Member Function Documentation

const float* Dali::Matrix3::AsFloat ( ) const

Returns the contents of the matrix as an array of 9 floats.

The order of the values for a matrix is:

 [ xAxis.x, xAxis.y, xAxis.z, yAxis.x, yAxis.y, yAxis.z, zAxis.x, zAxis.y, zAxis.z ]

Since:: 2.4, DALi version 1.0.0

Returns:: The matrix contents as an array of 9 floats

float* Dali::Matrix3::AsFloat ( )

Returns the contents of the matrix as an array of 9 floats.

The order of the values for a matrix is:

 [ xAxis.x, xAxis.y, xAxis.z, yAxis.x, yAxis.y, yAxis.z, zAxis.x, zAxis.y, zAxis.z ]

Since:: 2.4, DALi version 1.0.0

Returns:: The matrix contents as an array of 9 floats

bool Dali::Matrix3::Invert ( )

Inverts the matrix.

Since:: 2.4, DALi version 1.0.0

Returns:: True if successful

float Dali::Matrix3::Magnitude ( ) const

Magnitude returns the average of the absolute values of the elements * 3.

(The Magnitude of the unit matrix is therefore 1)

Since:: 2.4, DALi version 1.0.0

Returns:: The magnitude - always positive

static void Dali::Matrix3::Multiply	(	Matrix3 &	result,
		const Matrix3 &	lhs,
		const Matrix3 &	rhs
	)		`[static]`

Function to multiply two matrices and store the result onto third.

Use this method in time critical path as it does not require temporaries

result = rhs * lhs

Since:: 2.4, DALi version 1.0.0

Parameters:

[out]	result	Result of the multiplication
[in]	lhs	Matrix, this can be same matrix as result
[in]	rhs	Matrix, this cannot be same matrix as result

bool Dali::Matrix3::operator!= ( const Matrix3 & rhs ) const

The inequality operator.

Utilizes appropriate machine epsilon values.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in] rhs The Matrix to compare this to

Returns:: true if the matrices are equal

Matrix3& Dali::Matrix3::operator= ( const Matrix3 & matrix )

Assignment Operator.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in] matrix From which to copy values

Returns:: Reference to this object

Matrix3& Dali::Matrix3::operator= ( const Matrix & matrix )

Assignment Operator.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in] matrix A reference to the copied matrix

Returns:: A reference to this

bool Dali::Matrix3::operator== ( const Matrix3 & rhs ) const

The equality operator.

Utilizes appropriate machine epsilon values.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in] rhs The Matrix to compare this to

Returns:: True if the matrices are equal

void Dali::Matrix3::Scale ( float scale )

Multiplies all elements of the matrix by the scale value.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in] scale The value by which to scale the whole matrix

bool Dali::Matrix3::ScaledInverseTranspose ( )

If the matrix is invertible, then this method inverts, transposes and scales the matrix such that the resultant element values average 1.

If the matrix is not invertible, then the matrix is left unchanged.

Since:: 2.4, DALi version 1.0.0

Returns:: true if the matrix is invertible, otherwise false

void Dali::Matrix3::SetIdentity ( )

Sets the matrix to the identity matrix.

Since:: 2.4, DALi version 1.0.0

bool Dali::Matrix3::Transpose ( )

Swaps the rows to columns.

Since:: 2.4, DALi version 1.0.0

Returns:: True if successful

Friends And Related Function Documentation

DALI_CORE_API std::ostream& operator<<	(	std::ostream &	o,
		const Matrix3 &	matrix
	)		`[friend]`

Prints a 3x3 matrix.

Since:: 2.4, DALi version 1.0.0

Parameters:

[in]	o	The output stream operator
[in]	matrix	The matrix to print

Returns:: The output stream operator

Public Member Functions

Static Public Member Functions

Static Public Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation