A row major 4x4 transformation matrix. More...

#include <3esmatrix4.h>

Public Member Functions
	Matrix4 ()
	Empty constructor; contents are undefined.

	Matrix4 (const T *array16)
	Array initialisation constructor from an array of at least 16 elements. More...

	Matrix4 (const Matrix4< T > &other)
	Copy constructor. More...

template<typename Q >
	Matrix4 (const Matrix4< Q > &other)
	Copy constructor from a different numeric type. More...

	Matrix4 (const T &rc00, const T &rc01, const T &rc02, const T &rc03, const T &rc10, const T &rc11, const T &rc12, const T &rc13, const T &rc20, const T &rc21, const T &rc22, const T &rc23, const T &rc30, const T &rc31, const T &rc32, const T &rc33)
	Per element constructor, specifying each row in order. More...

T &	operator() (int r, int c)
	Row/column access. More...

const T &	operator() (int r, int c) const
	Row/column immutable access. More...

T &	operator[] (int index)
	Indexing operator (no bounds checking). More...

const T &	operator[] (int index) const
	Indexing operator (no bounds checking). More...

Matrix4< T > &	initRotationX (const T &angle)
	Initialise this matrix as a rotation around the X axis. More...

Matrix4< T > &	initRotationY (const T &angle)
	Initialise this matrix as a rotation around the Y axis. More...

Matrix4< T > &	initRotationZ (const T &angle)
	Initialise this matrix as a rotation around the Z axis. More...

Matrix4< T > &	initRotation (const T &x, const T &y, const T &z)
	Initialise this matrix as a rotation using the given Euler angles. More...

Matrix4< T >	initTranslation (const Vector3< T > &trans)
	Initialise this matrix as a translation only matrix. More...

Matrix4< T > &	initRotationTranslation (const T &x, const T &y, const T &z, const Vector3< T > &trans)

Matrix4< T > &	initScaling (const Vector3< T > &scale)
	Initialise this matrix as scaling matrix with no rotation or translation. More...

Matrix4< T > &	initLookAt (const Vector3< T > &eye, const Vector3< T > &target, const Vector3< T > &axisUp, int forwardAxisIndex=1, int upAxisIndex=2)
	Initialise this matrix as a model or camera matrix. More...

Matrix4< T > &	transpose ()
	Transposes this matrix. More...

Matrix4< T >	transposed () const
	Returns the transpose of this matrix, leaving this matrix unchanged. More...

Matrix4< T > &	invert ()
	Inverts this matrix. More...

Matrix4< T >	inverse () const
	Returns the inverse of this matrix, leaving this matrix unchanged. More...

Matrix4< T > &	rigidBodyInvert ()
	Inverts this matrix assuming this matrix represents a rigid body transformation. More...

Matrix4< T >	rigidBodyInverse () const
	Returns the inverse of this matrix assuming this is a rigid body transformation. More...

T	determinant () const
	Calculates the determinant of this matrix. More...

Vector3< T >	axisX () const
	Returns the X axis of this matrix (elements (0, 0), (1, 0), (2, 0)). More...

Vector3< T >	axisY () const
	Returns the Y axis of this matrix (elements (0, 1), (1, 1), (2, 1)). More...

Vector3< T >	axisZ () const
	Returns the Z axis of this matrix (elements (0, 2), (1, 2), (2, 2)). More...

Vector3< T >	axisT () const
	Returns the T axis or translation component of this matrix (elements (0, 3), (1, 3), (2, 3)). More...

Vector3< T >	translation () const
	Returns the T axis or translation component of this matrix (elements (0, 3), (1, 3), (2, 3)). More...

Vector3< T >	axis (int index) const
	Returns one of the axes of this matrix. More...

Matrix4< T > &	setAxisX (const Vector3< T > &axis)
	Sets the X axis of this matrix. More...

Matrix4< T > &	setAxisY (const Vector3< T > &axis)
	Sets the Y axis of this matrix. More...

Matrix4< T > &	setAxisZ (const Vector3< T > &axis)
	Sets the Z axis of this matrix. More...

Matrix4< T > &	setAxisT (const Vector3< T > &axis)
	Sets the translation of this matrix. More...

Matrix4< T > &	setTranslation (const Vector3< T > &axis)
	Sets the translation of this matrix. More...

Matrix4< T > &	setAxis (int index, const Vector3< T > &axis)
	Sets the indexed axis of this matrix. More...

Vector3< T >	scale () const
	Returns the scale contained in this matrix. More...

Vector3< T >	removeScale ()
	Removes scale from the matrix, leaving a rotation/translation matrix. More...

Matrix4< T > &	scale (const Vector3< T > &scaling)
	Scales this matrix, adjusting the scale of each rotation, but leaving the translation. More...

Vector3< T >	transform (const Vector3< T > &v) const
	Transforms the vector `v` by this matrix. More...

Vector4< T >	transform (const Vector4< T > &v) const
	Transforms the vector `v` by this matrix. More...

Vector3< T >	rotate (const Vector3< T > &v) const
	Transforms the vector `v` by the rotation component of this matrix. More...

Vector4< T >	rotate (const Vector4< T > &v) const
	Transforms the vector `v` by the rotation component of this matrix. More...

Static Public Member Functions
static Matrix4< T >	rotationX (const T &angle)
	Create a matrix which represents a rotation around the X axis. More...

static Matrix4< T >	rotationY (const T &angle)
	Create a matrix which represents a rotation around the Y axis. More...

static Matrix4< T >	rotationZ (const T &angle)
	Create a matrix which represents a rotation around the Z axis. More...

static Matrix4< T >	rotation (const T &x, const T &y, const T &z)
	Create a matrix which represents a rotation around each axis (Euler angles). More...

static Matrix4< T >	translation (const Vector3< T > &trans)
	Create a translation matrix (no rotation). More...

static Matrix4< T >	rotationTranslation (const T &x, const T &y, const T &z, const Vector3< T > &trans)
	Create a transformation matrix with rotation (Euler angles) and translation. More...

static Matrix4< T >	scaling (const Vector3< T > &scale)
	Create a scaling matrix. More...

static Matrix4< T >	lookAt (const Vector3< T > &eye, const Vector3< T > &target, const Vector3< T > &axisUp, int forwardAxisIndex=1, int upAxisIndex=2)
	Create a model or camera matrix at `eye` looking at `target`. More...

Public Attributes
union {
T rc [4][4]
	Row/column indexing representation.

T m [16]
	Array representation.

};

Static Public Attributes
static const Matrix4< T >	zero
	A matrix with all zero elements.

static const Matrix4< T >	identity
	The identity matrix.

Detailed Description

template<typename T>
class tes::Matrix4< T >

A row major 4x4 transformation matrix.

The matrix is laid out as follows:

    | rc00  rc01  rc02  rc03 |   | 0   1   2   3  |   | xx  yx  zx  tx |
M = | rc10  rc11  rc12  rc13 | = |  4   5   6   7 | = | xy  yy  zy  ty |
    | rc20  rc21  rc22  rc23 |   |  8   9  10  11 |   | xz  yz  zz  tz |
    | rc30  rc31  rc32  rc33 |   | 12  13  14  15 |   |  0   0   0   1 |

Where (xx, xy, xz) are the components of the X axis. Similarly, yn and zn form the Y axis and Z axis of the basis vectors respectively. Finally, (tx, ty, tz) is the translation.

Constructor & Destructor Documentation

◆ Matrix4() [1/4]

template<typename T>

tes::Matrix4< T >::Matrix4 ( const T * array16 )

Array initialisation constructor from an array of at least 16 elements.

No bounds checking.

Parameters

array16 The array of at least 16 value to initialise from.

◆ Matrix4() [2/4]

template<typename T>

tes::Matrix4< T >::Matrix4 ( const Matrix4< T > & other )

Copy constructor.

Parameters

other The matrix to copy from.

◆ Matrix4() [3/4]

template<typename T>

template<typename Q >

tes::Matrix4< T >::Matrix4 ( const Matrix4< Q > & other )

Copy constructor from a different numeric type.

Parameters

other The matrix to copy from.

◆ Matrix4() [4/4]

template<typename T>

tes::Matrix4< T >::Matrix4	(	const T &	rc00,
		const T &	rc01,
		const T &	rc02,
		const T &	rc03,
		const T &	rc10,
		const T &	rc11,
		const T &	rc12,
		const T &	rc13,
		const T &	rc20,
		const T &	rc21,
		const T &	rc22,
		const T &	rc23,
		const T &	rc30,
		const T &	rc31,
		const T &	rc32,
		const T &	rc33
	)

Per element constructor, specifying each row in order.

Parameters

rc00	Element at row/column 00
rc01	Element at row/column 01
rc02	Element at row/column 02
rc03	Element at row/column 03
rc10	Element at row/column 10
rc11	Element at row/column 11
rc12	Element at row/column 12
rc13	Element at row/column 13
rc20	Element at row/column 20
rc21	Element at row/column 21
rc22	Element at row/column 22
rc23	Element at row/column 23
rc30	Element at row/column 30
rc31	Element at row/column 31
rc32	Element at row/column 32
rc33	Element at row/column 33

Member Function Documentation

◆ axis()

template<typename T>

Vector3<T> tes::Matrix4< T >::axis ( int index ) const

Returns one of the axes of this matrix.

Parameters

index The index of the axis of interest. 0 => X, 1 => Y, 2 => Z, 3 => T/translation.

Returns: The axis of interest.

Referenced by tes::Matrix4< T >::initLookAt().

◆ axisT()

template<typename T>

Vector3<T> tes::Matrix4< T >::axisT ( ) const

Returns the T axis or translation component of this matrix (elements (0, 3), (1, 3), (2, 3)).

Returns: The translation component.

Referenced by tes::Matrix4< T >::initLookAt().

◆ axisX()

template<typename T>

Vector3<T> tes::Matrix4< T >::axisX ( ) const

Returns the X axis of this matrix (elements (0, 0), (1, 0), (2, 0)).

Returns: The X axis.

Referenced by tes::Matrix4< T >::initLookAt().

◆ axisY()

template<typename T>

Vector3<T> tes::Matrix4< T >::axisY ( ) const

Returns the Y axis of this matrix (elements (0, 1), (1, 1), (2, 1)).

Returns: The Y axis.

Referenced by tes::Matrix4< T >::initLookAt().

◆ axisZ()

template<typename T>

Vector3<T> tes::Matrix4< T >::axisZ ( ) const

Returns the Z axis of this matrix (elements (0, 2), (1, 2), (2, 2)).

Returns: The Z axis.

Referenced by tes::Matrix4< T >::initLookAt().

◆ determinant()

template<typename T>

T tes::Matrix4< T >::determinant ( ) const

Calculates the determinant of this matrix.

Returns: The determinant.

Referenced by tes::Matrix4< T >::initLookAt().

◆ initLookAt()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::initLookAt	(	const Vector3< T > &	eye,
		const Vector3< T > &	target,
		const Vector3< T > &	axisUp,
		int	forwardAxisIndex = `1`,
		int	upAxisIndex = `2`
	)

inline

Initialise this matrix as a model or camera matrix.

See also: lookAt().

Parameters

eye	The position of the eye/camera.
target	The target to look at. Should not be equal to `eye`.
axisUp	The axis defining the initial up vector. Must be normalised.
forwardAxisIndex	The index of the forward axis. This is to point at `target`.
upAxisIndex	The index of the up axis. Must not be equal to `forwardAxisIndex`.

Returns: this

◆ initRotation()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::initRotation	(	const T &	x,
		const T &	y,
		const T &	z
	)

inline

Initialise this matrix as a rotation using the given Euler angles.

Parameters

x	Rotation around the X axis (radians).
y	Rotation around the Y axis (radians).
z	Rotation around the Z axis (radians).

Returns: this

References tes::Matrix4< T >::rotation(), and tes::Matrix4< T >::translation().

◆ initRotationTranslation()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::initRotationTranslation	(	const T &	x,
		const T &	y,
		const T &	z,
		const Vector3< T > &	trans
	)

inline

Returns: this

References tes::Matrix4< T >::rotationTranslation(), tes::Matrix4< T >::scale(), and tes::Matrix4< T >::scaling().

◆ initRotationX()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::initRotationX ( const T & angle )

inline

Initialise this matrix as a rotation around the X axis.

Parameters

angle The rotation angle (radians).

Returns: this

References tes::Matrix4< T >::rotationX(), and tes::Matrix4< T >::rotationY().

◆ initRotationY()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::initRotationY ( const T & angle )

inline

Initialise this matrix as a rotation around the Y axis.

Parameters

angle The rotation angle (radians).

Returns: this

References tes::Matrix4< T >::rotationY(), and tes::Matrix4< T >::rotationZ().

◆ initRotationZ()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::initRotationZ ( const T & angle )

inline

Initialise this matrix as a rotation around the Z axis.

Parameters

angle The rotation angle (radians).

Returns: this

References tes::Matrix4< T >::rotation(), and tes::Matrix4< T >::rotationZ().

◆ initScaling()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::initScaling ( const Vector3< T > & scale )

inline

Initialise this matrix as scaling matrix with no rotation or translation.

Parameters

scale The scaling vector. Each component corresponds to each axis.

Returns: this

References tes::Matrix4< T >::lookAt(), and tes::Matrix4< T >::scaling().

◆ initTranslation()

template<typename T>

Matrix4<T> tes::Matrix4< T >::initTranslation ( const Vector3< T > & trans )

inline

Initialise this matrix as a translation only matrix.

Parameters

trans The translation.

Returns: this

References tes::Matrix4< T >::rotationTranslation(), and tes::Matrix4< T >::translation().

◆ inverse()

template<typename T>

Matrix4<T> tes::Matrix4< T >::inverse ( ) const

Returns the inverse of this matrix, leaving this matrix unchanged.

Returns: The inverse of this matrix.

Referenced by tes::Matrix4< T >::initLookAt().

◆ invert()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::invert ( )

Inverts this matrix.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ lookAt()

template<typename T>

static Matrix4<T> tes::Matrix4< T >::lookAt	(	const Vector3< T > &	eye,
		const Vector3< T > &	target,
		const Vector3< T > &	axisUp,
		int	forwardAxisIndex = `1`,
		int	upAxisIndex = `2`
	)

static

Create a model or camera matrix at eye looking at target.

Supports specifying the up and forward axes (inferring the left/right axis), where the indices [0, 1, 2] correspond to the axes (X, Y, Z).

The default behaviour is to use Y as the forward axis and Z as up.

Parameters

eye	The position of the eye/camera.
target	The target to look at. Should not be equal to `eye`.
axisUp	The axis defining the initial up vector. Must be normalised.
forwardAxisIndex	The index of the forward axis. This is to point at `target`.
upAxisIndex	The index of the up axis. Must not be equal to `forwardAxisIndex`.

Returns: A model matrix at eye pointing at target. Returns identity if there are errors in the specification of forwardAxisIndex and upAxisIndex.

Referenced by tes::Matrix4< T >::initLookAt(), and tes::Matrix4< T >::initScaling().

◆ operator()() [1/2]

template<typename T>

T& tes::Matrix4< T >::operator()	(	int	r,
		int	c
	)

inline

Row/column access.

Not bounds checked.

Parameters

r	The row to access [0, 3]
c	The column to access [0, 3].

References tes::Matrix4< T >::rc.

◆ operator()() [2/2]

template<typename T>

const T& tes::Matrix4< T >::operator()	(	int	r,
		int	c
	)		const

inline

Row/column immutable access.

Not bounds checked.

Parameters

r	The row to access [0, 3]
c	The column to access [0, 3].

References tes::Matrix4< T >::rc.

◆ operator[]() [1/2]

template<typename T>

T& tes::Matrix4< T >::operator[] ( int index )

inline

Indexing operator (no bounds checking).

Parameters

index The element to access [0, 15].

Returns: The matrix element at index.

References tes::Matrix4< T >::m.

◆ operator[]() [2/2]

template<typename T>

const T& tes::Matrix4< T >::operator[] ( int index ) const

inline

Indexing operator (no bounds checking).

Parameters

index The element to access [0, 15].

Returns: The matrix element at index.

References tes::Matrix4< T >::m, and tes::Matrix4< T >::rotationX().

◆ removeScale()

template<typename T>

Vector3<T> tes::Matrix4< T >::removeScale ( )

Removes scale from the matrix, leaving a rotation/translation matrix.

Returns: The scale which was present along each axis.

Referenced by tes::Matrix4< T >::initLookAt().

◆ rigidBodyInverse()

template<typename T>

Matrix4<T> tes::Matrix4< T >::rigidBodyInverse ( ) const

Returns the inverse of this matrix assuming this is a rigid body transformation.

See rigidBodyInvert().

Returns: The inverse of this matrix.

Referenced by tes::Matrix4< T >::initLookAt().

◆ rigidBodyInvert()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::rigidBodyInvert ( )

Inverts this matrix assuming this matrix represents a rigid body transformation.

A rigid body transformation contains no skewing. That is, the basis vectors are orthogonal.

The inverse is calculated by transposing the rotation and inverting the translation.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ rotate() [1/2]

template<typename T>

Vector3<T> tes::Matrix4< T >::rotate ( const Vector3< T > & v ) const

Transforms the vector v by the rotation component of this matrix.

No translation is applied.

Returns: Av, where A is this matrix converted to a 3x3 rotation matrix (no translation).

Referenced by tes::Matrix4< T >::initLookAt().

◆ rotate() [2/2]

template<typename T>

Vector4<T> tes::Matrix4< T >::rotate ( const Vector4< T > & v ) const

Transforms the vector v by the rotation component of this matrix.

No translation is applied.

Returns: Av, where A is this matrix converted to a 3x3 rotation matrix (no translation).

◆ rotation()

template<typename T>

static Matrix4<T> tes::Matrix4< T >::rotation	(	const T &	x,
		const T &	y,
		const T &	z
	)

static

Create a matrix which represents a rotation around each axis (Euler angles).

Rotations are applied in x, y, z order.

Parameters

x	Rotation around the X axis (radians).
y	Rotation around the Y axis (radians).
z	Rotation around the Z axis (radians).

Returns: The rotation matrix.

Referenced by tes::Matrix4< T >::initRotation(), and tes::Matrix4< T >::initRotationZ().

◆ rotationTranslation()

template<typename T>

static Matrix4<T> tes::Matrix4< T >::rotationTranslation	(	const T &	x,
		const T &	y,
		const T &	z,
		const Vector3< T > &	trans
	)

static

Create a transformation matrix with rotation (Euler angles) and translation.

Rotation is applied first.

Parameters

x	Rotation around the X axis (radians).
y	Rotation around the Y axis (radians).
z	Rotation around the Z axis (radians).
trans	The translation the matrix applies.

Returns: The transformation matrix.

Referenced by tes::Matrix4< T >::initRotationTranslation(), and tes::Matrix4< T >::initTranslation().

◆ rotationX()

template<typename T>

static Matrix4<T> tes::Matrix4< T >::rotationX ( const T & angle )

static

Create a matrix which represents a rotation around the X axis.

Parameters

angle The rotation angle in radians.

Returns: The rotation matrix.

Referenced by tes::Matrix4< T >::initRotationX(), and tes::Matrix4< T >::operator[]().

◆ rotationY()

template<typename T>

static Matrix4<T> tes::Matrix4< T >::rotationY ( const T & angle )

static

Create a matrix which represents a rotation around the Y axis.

Parameters

angle The rotation angle in radians.

Returns: The rotation matrix.

Referenced by tes::Matrix4< T >::initRotationX(), and tes::Matrix4< T >::initRotationY().

◆ rotationZ()

template<typename T>

static Matrix4<T> tes::Matrix4< T >::rotationZ ( const T & angle )

static

Create a matrix which represents a rotation around the Z axis.

Parameters

angle The rotation angle in radians.

Returns: The rotation matrix.

Referenced by tes::Matrix4< T >::initRotationY(), and tes::Matrix4< T >::initRotationZ().

◆ scale() [1/2]

template<typename T>

Vector3<T> tes::Matrix4< T >::scale ( ) const

Returns the scale contained in this matrix.

This is the length of each axis.

Returns: The scale of each rotation axis in this matrix.

Referenced by tes::Matrix4< T >::initLookAt(), and tes::Matrix4< T >::initRotationTranslation().

◆ scale() [2/2]

template<typename T>

Matrix4<T>& tes::Matrix4< T >::scale ( const Vector3< T > & scaling )

Scales this matrix, adjusting the scale of each rotation, but leaving the translation.

Parameters

scaling The scaling to apply.

Returns: This matrix after the operation.

◆ scaling()

template<typename T>

static Matrix4<T> tes::Matrix4< T >::scaling ( const Vector3< T > & scale )

static

Create a scaling matrix.

Parameters

scale The scaling to apply along each axis.

Returns: The scaling matrix.

Referenced by tes::Matrix4< T >::initRotationTranslation(), and tes::Matrix4< T >::initScaling().

◆ setAxis()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::setAxis	(	int	index,
		const Vector3< T > &	axis
	)

Sets the indexed axis of this matrix.

See axis().

Parameters

index	The index of the axis of interest. 0 => X, 1 => Y, 2 => Z, 3 => T/translation.
axis	The value to set the axis to.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ setAxisT()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::setAxisT ( const Vector3< T > & axis )

Sets the translation of this matrix.

See translation().

Parameters

axis	The value to set the translation to.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ setAxisX()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::setAxisX ( const Vector3< T > & axis )

Sets the X axis of this matrix.

See axisX().

Parameters

axis	The value to set the axis to.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ setAxisY()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::setAxisY ( const Vector3< T > & axis )

Sets the Y axis of this matrix.

See axisY().

Parameters

axis	The value to set the axis to.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ setAxisZ()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::setAxisZ ( const Vector3< T > & axis )

Sets the Z axis of this matrix.

See axisZ().

Parameters

axis	The value to set the axis to.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ setTranslation()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::setTranslation ( const Vector3< T > & axis )

Sets the translation of this matrix.

See translation().

Parameters

axis	The value to set the translation to.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ transform() [1/2]

template<typename T>

Vector3<T> tes::Matrix4< T >::transform ( const Vector3< T > & v ) const

Transforms the vector v by this matrix.

Returns: Av, where A is this matrix.

Referenced by tes::Matrix4< T >::initLookAt().

◆ transform() [2/2]

template<typename T>

Vector4<T> tes::Matrix4< T >::transform ( const Vector4< T > & v ) const

Transforms the vector v by this matrix.

Returns: Av, where A is this matrix.

◆ translation() [1/2]

template<typename T>

static Matrix4<T> tes::Matrix4< T >::translation ( const Vector3< T > & trans )

static

Create a translation matrix (no rotation).

Parameters

trans The translation the matrix applies.

Returns: The translation matrix.

◆ translation() [2/2]

template<typename T>

Vector3<T> tes::Matrix4< T >::translation ( ) const

Returns the T axis or translation component of this matrix (elements (0, 3), (1, 3), (2, 3)).

Returns: The translation component.

Referenced by tes::Matrix4< T >::initLookAt(), tes::Matrix4< T >::initRotation(), and tes::Matrix4< T >::initTranslation().

◆ transpose()

template<typename T>

Matrix4<T>& tes::Matrix4< T >::transpose ( )

Transposes this matrix.

Returns: This matrix after the operation.

Referenced by tes::Matrix4< T >::initLookAt().

◆ transposed()

template<typename T>

Matrix4<T> tes::Matrix4< T >::transposed ( ) const

Returns the transpose of this matrix, leaving this matrix unchanged.

Returns: The transpose of this matrix.

Referenced by tes::Matrix4< T >::initLookAt().

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

3esmatrix4.h

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Detailed Description

template<typename T> class tes::Matrix4< T >

Constructor & Destructor Documentation

◆ Matrix4() [1/4]

◆ Matrix4() [2/4]

◆ Matrix4() [3/4]

◆ Matrix4() [4/4]

Member Function Documentation

◆ axis()

◆ axisT()

◆ axisX()

◆ axisY()

◆ axisZ()

◆ determinant()

◆ initLookAt()

◆ initRotation()

◆ initRotationTranslation()

◆ initRotationX()

◆ initRotationY()

◆ initRotationZ()

◆ initScaling()

◆ initTranslation()

◆ inverse()

◆ invert()

◆ lookAt()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ removeScale()

◆ rigidBodyInverse()

◆ rigidBodyInvert()

◆ rotate() [1/2]

◆ rotate() [2/2]

◆ rotation()

◆ rotationTranslation()

◆ rotationX()

◆ rotationY()

◆ rotationZ()

◆ scale() [1/2]

◆ scale() [2/2]

◆ scaling()

◆ setAxis()

◆ setAxisT()

◆ setAxisX()

◆ setAxisY()

◆ setAxisZ()

◆ setTranslation()

◆ transform() [1/2]

◆ transform() [2/2]

◆ translation() [1/2]

◆ translation() [2/2]

◆ transpose()

◆ transposed()

template<typename T>
class tes::Matrix4< T >