U4DEngine::U4DMatrix3n Class Reference

The U4DMatrix3n is in charge of implementing linear algebra matrix operations such as addition, subtraction, transformations, etc. More...

Public Member Functions
	U4DMatrix3n ()
	Constructor which creates a 3x3 default matrix. That is, it creates a 3x3 matrix.
	U4DMatrix3n (float m0, float m3, float m6, float m1, float m4, float m7, float m2, float m5, float m8)
	Constructor which creates a 3x3 matrix with the given values.
U4DMatrix3n &	operator= (const U4DMatrix3n &value)
	Creates a copy of the 3x3 matrix. More...
	~U4DMatrix3n ()
	default 3x3 destructor
U4DVector3n	operator* (const U4DVector3n &v) const
	Method which transforms the given vector by the matrix. More...
U4DVector3n	transform (const U4DVector3n &v) const
	Method which transforms the given vector by the matrix. More...
U4DMatrix3n	operator* (const U4DMatrix3n &m) const
	Method which multiplies two 3x3 matrices. More...
void	operator*= (const U4DMatrix3n &m)
	Method which multiplies two 3x3 matrices. More...
void	setIdentity ()
	Method which sets a 3x3 matrix to an identity 3x3 matrix.
void	transformMatrixAboutXAxis (float uAngle)
	Method which transforms a matrix about the x-axis. More...
void	transformMatrixAboutYAxis (float uAngle)
	Method which transforms a matrix about the y-axis. More...
void	transformMatrixAboutZAxis (float uAngle)
	Method which transforms a matrix about the z-axis. More...
void	setInverse (const U4DMatrix3n &m)
	Method which sets current matrix with the inverse of the given matrix. More...
U4DMatrix3n	inverse () const
	Method which computes the inverse of the matrix. More...
void	invert ()
	Method which sets the matrix to its inverse.
float	getDeterminant () const
	Method which computes the determinant of the 3x3 matrix. More...
void	invertAndTranspose ()
	Method that computes the inverse and transpose of the matrix.
void	setTranspose (const U4DMatrix3n &m)
	Method that sets the current matrix to a transpose matrix. More...
U4DMatrix3n	transpose () const
	Method which returns the transpose of the matrix. More...
U4DVector3n	getFirstRowVector ()
	Method to get the first row of the 3x3 matrix. More...
U4DVector3n	getSecondRowVector ()
	Method to get the second row of the 3x3 matrix. More...
U4DVector3n	getThirdRowVector ()
	Method to get the third row of the 3x3 matrix. More...
U4DVector3n	getFirstColumnVector ()
	Method to get the first column of the 3x3 matrix. More...
U4DVector3n	getSecondColumnVector ()
	Method to get the second column of the 3x3 matrix. More...
U4DVector3n	getThirdColumnVector ()
	Method to get the third column of the 3x3 matrix. More...
void	show ()
	Method which prints the 3x3 matrix components in the window console log.

Public Attributes
float	matrixData [9] ={0}
	component values of the 3x3 matrix

Detailed Description

The U4DMatrix3n is in charge of implementing linear algebra matrix operations such as addition, subtraction, transformations, etc.

Member Function Documentation

getDeterminant()

float U4DEngine::U4DMatrix3n::getDeterminant

(

)

const

Method which computes the determinant of the 3x3 matrix.

Returns

Returns the determinant of the matrix

getFirstColumnVector()

U4DVector3n U4DEngine::U4DMatrix3n::getFirstColumnVector

(

)

Method to get the first column of the 3x3 matrix.

Returns

Returns the first column of the 3x3 matrix

getFirstRowVector()

U4DVector3n U4DEngine::U4DMatrix3n::getFirstRowVector

(

)

Method to get the first row of the 3x3 matrix.

Returns

Returns the first row of the 3x3 matrix

getSecondColumnVector()

U4DVector3n U4DEngine::U4DMatrix3n::getSecondColumnVector

(

)

Method to get the second column of the 3x3 matrix.

Returns

Returns the second column of the 3x3 matrix

getSecondRowVector()

U4DVector3n U4DEngine::U4DMatrix3n::getSecondRowVector

(

)

Method to get the second row of the 3x3 matrix.

Returns

Returns the second row of the 3x3 matrix

getThirdColumnVector()

U4DVector3n U4DEngine::U4DMatrix3n::getThirdColumnVector

(

)

Method to get the third column of the 3x3 matrix.

Returns

Returns the third column of the 3x3 matrix

getThirdRowVector()

U4DVector3n U4DEngine::U4DMatrix3n::getThirdRowVector

(

)

Method to get the third row of the 3x3 matrix.

Returns

Returns the third row of the 3x3 matrix

inverse()

U4DMatrix3n U4DEngine::U4DMatrix3n::inverse

(

)

const

Method which computes the inverse of the matrix.

Returns

Returns the inverse of the matrix

operator*() [1/2]

U4DMatrix3n U4DEngine::U4DMatrix3n::operator*

(

const U4DMatrix3n &

m

)

const

Method which multiplies two 3x3 matrices.

Parameters

m	Matrix to multiply with

Returns

Returns the multiplication product between the two 3x3 matrices

operator*() [2/2]

U4DVector3n U4DEngine::U4DMatrix3n::operator*

(

const U4DVector3n &

v

)

const

Method which transforms the given vector by the matrix.

Parameters

v	3D vector to transform

Returns

Returns the transformation of the vector

operator*=()

void U4DEngine::U4DMatrix3n::operator*=

(

const U4DMatrix3n &

m

)

Method which multiplies two 3x3 matrices.

Parameters

m	Matrix to multiply with

Returns

Returns the multiplication product between the two 3x3 matrices

operator=()

U4DMatrix3n & U4DEngine::U4DMatrix3n::operator=

(

const U4DMatrix3n &

value

)

Creates a copy of the 3x3 matrix.

Parameters

value

3x3 matrix to copy

Returns

Returns a copy of the 3x3 matrix

setInverse()

void U4DEngine::U4DMatrix3n::setInverse

(

const U4DMatrix3n &

m

)

Method which sets current matrix with the inverse of the given matrix.

Parameters

m	3x3 matrix to use as the inverse

setTranspose()

void U4DEngine::U4DMatrix3n::setTranspose

(

const U4DMatrix3n &

m

)

Method that sets the current matrix to a transpose matrix.

Parameters

m	3x3 Matrix to use as the transpose

transform()

U4DVector3n U4DEngine::U4DMatrix3n::transform

(

const U4DVector3n &

v

)

const

Method which transforms the given vector by the matrix.

Parameters

v	3D vector to transform

Returns

Returns the transformation of the vector

transformMatrixAboutXAxis()

void U4DEngine::U4DMatrix3n::transformMatrixAboutXAxis

(

float

uAngle

)

Method which transforms a matrix about the x-axis.

Parameters

uAngle

Angle to apply the rotation by

transformMatrixAboutYAxis()

void U4DEngine::U4DMatrix3n::transformMatrixAboutYAxis

(

float

uAngle

)

Method which transforms a matrix about the y-axis.

Parameters

uAngle

Angle to apply the rotation by

transformMatrixAboutZAxis()

void U4DEngine::U4DMatrix3n::transformMatrixAboutZAxis

(

float

uAngle

)

Method which transforms a matrix about the z-axis.

Parameters

uAngle

Angle to apply the rotation by

transpose()

U4DMatrix3n U4DEngine::U4DMatrix3n::transpose

(

)

const

Method which returns the transpose of the matrix.

Returns

Returns the transpose of the matrix