U4DEngine::U4DMatrix4n Class Reference

The U4DMatrix4n class is in charge of implementing a representation of a 4x4 matrix. The class implements matrix operations such as addition, subtraction, transformation, inverse, transponse, etc. More...

Public Member Functions
	U4DMatrix4n ()
	Contructor which constructs a 4x4 identity matrix.
	U4DMatrix4n (float m0, float m4, float m8, float m12, float m1, float m5, float m9, float m13, float m2, float m6, float m10, float m14, float m3, float m7, float m11, float m15)
	Contructor which constructs a 4x4 matrix in column major format.
U4DMatrix4n &	operator= (const U4DMatrix4n &value)
	Copy constructor for a 4x4 matrix. More...
	~U4DMatrix4n ()
	Desctructor for the 4x4 matrix.
U4DMatrix4n	operator* (const U4DMatrix4n &m) const
	Method which multiplies two 4x4 matrices. More...
U4DMatrix4n	multiply (const U4DMatrix4n &m) const
	Method which multiplies two 4x4 matrices. More...
void	operator*= (const U4DMatrix4n &m)
	Method which multiplies two 4x4 matrices. More...
U4DVector3n	operator* (const U4DVector3n &v) const
	Method which transforms a 3D vector by the 4x4 matrix. More...
U4DVector3n	transform (const U4DVector3n &v) const
	Method which transforms a 3D vector by the 4x4 matrix. More...
float	getDeterminant () const
	Method which gets the determinant of the 4x4 matrix. More...
void	setInverse (const U4DMatrix4n &m)
	Method that sets the inverse of a 4x4 matrix. More...
U4DMatrix4n	inverse () const
	Method that computes the inverse of a 4x4 matrix. More...
void	invert ()
	Inverts the 4x4 matrix.
U4DMatrix3n	extract3x3Matrix ()
	Method that returns a 3x3 representation of the 4x4 matrix. More...
U4DVector3n	extractAffineVector ()
	extracts the affine vector from a 4x4 matrix More...
void	setTranspose (const U4DMatrix4n &m)
	Method that sets the transpose to a 4x4 matrix. More...
U4DMatrix4n	transpose () const
	Method that computes the transpose of a 4x4 matrix. More...
void	show ()
	Method that prints the 4x4 matrix components to the console log window.

Public Attributes
float	matrixData [16] ={0}
	Data elements of the 4x4 matrix. Note, the data elements are ordered in Column Major format.

Detailed Description

The U4DMatrix4n class is in charge of implementing a representation of a 4x4 matrix. The class implements matrix operations such as addition, subtraction, transformation, inverse, transponse, etc.

Member Function Documentation

extract3x3Matrix()

U4DMatrix3n U4DEngine::U4DMatrix4n::extract3x3Matrix

(

)

Method that returns a 3x3 representation of the 4x4 matrix.

Returns

Returns the rotational part of the 4x4 matrix

extractAffineVector()

U4DVector3n U4DEngine::U4DMatrix4n::extractAffineVector

(

)

extracts the affine vector from a 4x4 matrix

Returns

vector representing the position (x, y and z coordinates)

getDeterminant()

float U4DEngine::U4DMatrix4n::getDeterminant

(

)

const

Method which gets the determinant of the 4x4 matrix.

Returns

Returns the determinant of the 4x4 matrix

inverse()

U4DMatrix4n U4DEngine::U4DMatrix4n::inverse

(

)

const

Method that computes the inverse of a 4x4 matrix.

Returns

Returns the inverse representation of the 4x4 matrix

multiply()

U4DMatrix4n U4DEngine::U4DMatrix4n::multiply

(

const U4DMatrix4n &

m

)

const

Method which multiplies two 4x4 matrices.

Parameters

m	4x4 matrix to multiply

Returns

Returns the product of two 4x4 matrices

operator*() [1/2]

U4DMatrix4n U4DEngine::U4DMatrix4n::operator*

(

const U4DMatrix4n &

m

)

const

Method which multiplies two 4x4 matrices.

Parameters

m	4x4 matrix to multiply

Returns

Returns the product of two 4x4 matrices

operator*() [2/2]

U4DVector3n U4DEngine::U4DMatrix4n::operator*

(

const U4DVector3n &

v

)

const

Method which transforms a 3D vector by the 4x4 matrix.

Parameters

v	3D vector to transform

Returns

Returns the transformation of the 3D vector

operator*=()

void U4DEngine::U4DMatrix4n::operator*=

(

const U4DMatrix4n &

m

)

Method which multiplies two 4x4 matrices.

Parameters

m	4x4 matrix to multiply

Returns

Returns the product of two 4x4 matrices

operator=()

U4DMatrix4n & U4DEngine::U4DMatrix4n::operator=

(

const U4DMatrix4n &

value

)

Copy constructor for a 4x4 matrix.

Parameters

value

4x4 matrix to copy

Returns

Returns a copy of the 4x4 matrix

setInverse()

void U4DEngine::U4DMatrix4n::setInverse

(

const U4DMatrix4n &

m

)

Method that sets the inverse of a 4x4 matrix.

Parameters

m	4x4 matrix to compute its inverse and apply it to the current 4x4 matrix

setTranspose()

void U4DEngine::U4DMatrix4n::setTranspose

(

const U4DMatrix4n &

m

)

Method that sets the transpose to a 4x4 matrix.

Parameters

m	4x4 matrix to compute its transpose and set it to the current 4x4 matrix

transform()

U4DVector3n U4DEngine::U4DMatrix4n::transform

(

const U4DVector3n &

v

)

const

Method which transforms a 3D vector by the 4x4 matrix.

Parameters

v	3D vector to transform

Returns

Returns the transformation of the 3D vector

transpose()

U4DMatrix4n U4DEngine::U4DMatrix4n::transpose

(

)

const

Method that computes the transpose of a 4x4 matrix.

Returns

Returns the transpose representation of a 4x4 matrix