Matrix with 4x4 elements. More...

#include <kanzi/core/math/matrix4x4.hpp>

Public Types
enum class	FieldOfViewType { XFov , YFov }
	Field of view type of a camera. More...

Public Member Functions
constexpr Vector4	getColumn (size_t index) const
	Gets the column of a matrix.

optional< Vector3 >	getRotationAngle () const
	Calculates Euler rotation angles of the matrix.

constexpr Vector4	getRow (size_t index) const
	Gets the row of a matrix.

Vector3	getScale () const
	Get scale as a vector.

constexpr Vector3	getTranslation () const
	Get translation.

constexpr float	getTranslationX () const
	Get translation on X axis.

constexpr float	getTranslationY () const
	Get translation on Y axis.

constexpr float	getTranslationZ () const
	Get translation on Z axis.

constexpr Vector3	getXAxis () const
	Get X axis.

constexpr Vector3	getYAxis () const
	Get Y axis.

constexpr Vector3	getZAxis () const
	Get Z axis.

constexpr	Matrix4x4 ()
	Default constructor.

constexpr	Matrix4x4 (float value)
	Constructor.

constexpr	Matrix4x4 (float x0, float x1, float x2, float x3, float x4, float x5, float x6, float x7, float x8, float x9, float x10, float x11, float x12, float x13, float x14, float x15)
	Constructs the matrix from elements in column-major order.

constexpr	Matrix4x4 (Vector3 x, Vector3 y, Vector3 z, Vector3 translation)
	Constructs the matrix from four column vectors.

constexpr	Matrix4x4 (Vector4 x, Vector4 y, Vector4 z, Vector4 translation)
	Constructs the matrix from four column vectors.

constexpr Vector3	operator* (Vector3 rhs) const
	Multiply a 3-component vector with a 4x4 matrix.

constexpr Vector4	operator* (Vector4 rhs) const
	Multiply a 4-component vector with a 4x4 matrix.

constexpr Matrix4x4 &	operator*= (const Matrix4x4 &m)
	Modifies this matrix by multiplying it with another matrix.

constexpr Matrix4x4 &	operator+= (const Matrix4x4 &v)
	Modifies this matrix by adding another matrix.

constexpr Matrix4x4 &	operator-= (const Matrix4x4 &v)
	Modifies this matrix by subtracting another matrix from this matrix.

constexpr float &	operator[] (size_t index)
	Access to individual elements of the matrix.

constexpr const float &	operator[] (size_t index) const
	Access to individual elements of the matrix.

constexpr void	scale (Vector3 scale)
	Scales this matrix.

constexpr void	scaleUniform (float scale)
	Scales this matrix.

constexpr void	setColumn (size_t index, Vector4 column)
	Sets the column of a matrix.

constexpr void	setRow (size_t index, Vector4 row)
	Sets the row of a matrix.

constexpr void	setTranslation (Vector3 translation)
	Set translation.

constexpr void	setTranslationX (float translationX)
	Set translation on X axis.

constexpr void	setTranslationY (float translationY)
	Set translation on Y axis.

constexpr void	setTranslationZ (float translationZ)
	Set translation on Z axis.

constexpr void	setXAxis (Vector3 v)
	Set X axis.

constexpr void	setYAxis (Vector3 v)
	Set Y axis.

constexpr void	setZAxis (Vector3 v)
	Set Z axis.

constexpr void	translate (Vector3 translate)
	Translates this matrix.

constexpr Matrix4x4	transposed () const
	Applies a transpose to a matrix.

Static Public Member Functions
static constexpr Matrix4x4	createFilled (float value)
	Creates a matrix with all elements set to `value`.

static constexpr Matrix4x4	createFromHomogenousMatrix (const Matrix3x3 &matrix)
	Creates a matrix from an existing homogeneous matrix.

static constexpr Matrix4x4	createFromHomogenousMatrix (const Matrix3x3 &matrix, float zTranslation)
	Creates a matrix from an existing homogeneous matrix and Z translation.

static constexpr Matrix4x4	createIdentity ()
	Creates identity matrix.

static optional< Matrix4x4 >	createLookAtMatrix (Vector3 position, Vector3 lookAtPoint, Vector3 upVector)
	Creates a lookup transformation matrix, so that it is in a given position looking at the given point.

static constexpr Matrix4x4	createOrthogonalProjection (float left, float right, float bottom, float top, float nearPlane, float farPlane)
	Creates a projection matrix for orthogonal projection.

static constexpr Matrix4x4	createOrthogonalProjection (float left, float right, float bottom, float top, float nearPlane, float farPlane, float clipNear, float clipFar)
	Creates a projection matrix for orthogonal projection.

static Matrix4x4	createPerspectiveProjection (float nearPlane, float farPlane, FieldOfViewType fovType, float fovInDegrees, float aspectRatio)
	Creates a perspective projection matrix for a symmetrical viewing volume.

static Matrix4x4	createPerspectiveProjection (float nearPlane, float farPlane, Vector4 fovInDegrees)
	Creates a perspective projection matrix for a viewing volume.

static Matrix4x4	createRotation (float angleInRadians, Vector3 rotationAxis)
	Creates a rotation matrix over an arbitrary axis.

static Matrix4x4	createRotationInDegrees (float angleInDegrees, Vector3 rotationAxis)
	Creates a rotation matrix over an arbitrary axis.

static constexpr Matrix4x4	createScale (Vector3 scale)
	Creates a scaling matrix.

static Matrix4x4	createSRT (Vector3 scale, Vector3 rotationInRadians, Vector3 translation)
	Create an SRT matrix.

static Matrix4x4	createSubProjection (const Matrix4x4 &projection, float relativeOffsetX, float relativeOffsetY, float relativeSizeX, float relativeSizeY)
	Calculate sub-quad projection of an existing projection matrix.

static constexpr Matrix4x4	createTranslation (float x, float y, float z)
	Creates translation matrix.

static constexpr Matrix4x4	createTranslation (Vector3 translation)
	Creates translation matrix.

static Matrix4x4	createXRotationInDegrees (float angleInDegrees)
	Creates a X rotation matrix.

static Matrix4x4	createXRotationInRadians (float angleInRadians)
	Creates a X rotation matrix.

static Matrix4x4	createYRotationInDegrees (float angleInDegrees)
	Creates a Y rotation matrix.

static Matrix4x4	createYRotationInRadians (float angleInRadians)
	Creates a Y rotation matrix.

static Matrix4x4	createZRotationInDegrees (float angleInDegrees)
	Creates a Z rotation matrix.

static Matrix4x4	createZRotationInRadians (float angleInRadians)
	Creates a Z rotation matrix.

Detailed Description

Matrix with 4x4 elements.

Member Enumeration Documentation

◆ FieldOfViewType

enum class kanzi::Matrix4x4::FieldOfViewType

strong

Field of view type of a camera.

Enumerator
XFov	Field of view is specified in the x axis direction.
YFov	Field of view is specified in the y axis direction.

Constructor & Destructor Documentation

◆ Matrix4x4() [1/5]

constexpr kanzi::Matrix4x4::Matrix4x4 ( )

inlineexplicitconstexpr

Default constructor.

Initializes the matrix to identity matrix.

◆ Matrix4x4() [2/5]

constexpr kanzi::Matrix4x4::Matrix4x4 ( float value )

inlineexplicitconstexpr

Constructor.

Initializes every component to the same value.

◆ Matrix4x4() [3/5]

constexpr kanzi::Matrix4x4::Matrix4x4	(	float	x0,
		float	x1,
		float	x2,
		float	x3,
		float	x4,
		float	x5,
		float	x6,
		float	x7,
		float	x8,
		float	x9,
		float	x10,
		float	x11,
		float	x12,
		float	x13,
		float	x14,
		float	x15 )

inlineexplicitconstexpr

Constructs the matrix from elements in column-major order.

Parameters

x0	First column first element.
x1	First column second element.
x2	First column third element.
x3	First column fourth element.
x4	Second column first element.
x5	Second column second element.
x6	Second column third element.
x7	Second column fourth element.
x8	Third column first element.
x9	Third column second element.
x10	Third column third element.
x11	Third column fourth element.
x12	Fourth column first element.
x13	Fourth column second element.
x14	Fourth column third element.
x15	Fourth column fourth element.

◆ Matrix4x4() [4/5]

constexpr kanzi::Matrix4x4::Matrix4x4	(	Vector3	x,
		Vector3	y,
		Vector3	z,
		Vector3	translation )

inlineexplicitconstexpr

Constructs the matrix from four column vectors.

Parameters

x	First column vector.
y	Second column vector.
z	Third column vector.
translation	Translation vector.

◆ Matrix4x4() [5/5]

constexpr kanzi::Matrix4x4::Matrix4x4	(	Vector4	x,
		Vector4	y,
		Vector4	z,
		Vector4	translation )

inlineexplicitconstexpr

Constructs the matrix from four column vectors.

Parameters

x	First column vector.
y	Second column vector.
z	Third column vector.
translation	Translation vector.

Member Function Documentation

◆ operator[]() [1/2]

constexpr const float & kanzi::Matrix4x4::operator[] ( size_t index ) const

inlineconstexpr

Access to individual elements of the matrix.

Elements are stored in column-major order.

Parameters

index Index of the accessed element. Possible values are numbers from 0 to 15.

Returns

◆ operator[]() [2/2]

constexpr float & kanzi::Matrix4x4::operator[] ( size_t index )

inlineconstexpr

Access to individual elements of the matrix.

Elements are stored in column-major order.

Parameters

index Index of the accessed element. Possible values are numbers from 0 to 15.

Returns

◆ getRow()

constexpr Vector4 kanzi::Matrix4x4::getRow ( size_t index ) const

inlineconstexpr

Gets the row of a matrix.

Parameters

index Index of the accessed row.

Returns: The row.

◆ getColumn()

constexpr Vector4 kanzi::Matrix4x4::getColumn ( size_t index ) const

inlineconstexpr

Gets the column of a matrix.

Parameters

index Index of the accessed column.

Returns: The column.

◆ setRow()

constexpr void kanzi::Matrix4x4::setRow	(	size_t	index,
		Vector4	row )

inlineconstexpr

Sets the row of a matrix.

Parameters

index	Index of the accessed row.
row	The value to set to the row.

◆ setColumn()

constexpr void kanzi::Matrix4x4::setColumn	(	size_t	index,
		Vector4	column )

inlineconstexpr

Sets the column of a matrix.

Parameters

index	Index of the accessed column.
column	The value to set to the column.

◆ getXAxis()

constexpr Vector3 kanzi::Matrix4x4::getXAxis ( ) const

inlineconstexpr

Get X axis.

◆ getYAxis()

constexpr Vector3 kanzi::Matrix4x4::getYAxis ( ) const

inlineconstexpr

Get Y axis.

◆ getZAxis()

constexpr Vector3 kanzi::Matrix4x4::getZAxis ( ) const

inlineconstexpr

Get Z axis.

◆ getScale()

Vector3 kanzi::Matrix4x4::getScale ( ) const

Get scale as a vector.

◆ getRotationAngle()

optional< Vector3 > kanzi::Matrix4x4::getRotationAngle ( ) const

Calculates Euler rotation angles of the matrix.

Kanzi Engine represents Euler angles as Tait-Bryan angles where the rotations are applied in the order x, y and z.

Returns: Euler angles in radians, or nullopt if the matrix is not decomposable.

◆ scale()

constexpr void kanzi::Matrix4x4::scale ( Vector3 scale )

inlineconstexpr

Scales this matrix.

Parameters

scale Scaling vector.

◆ scaleUniform()

constexpr void kanzi::Matrix4x4::scaleUniform ( float scale )

inlineconstexpr

Scales this matrix.

Parameters

scale Uniform scaling value.

◆ translate()

constexpr void kanzi::Matrix4x4::translate ( Vector3 translate )

inlineconstexpr

Translates this matrix.

Parameters

translate Translation vector.

◆ setXAxis()

constexpr void kanzi::Matrix4x4::setXAxis ( Vector3 v )

inlineconstexpr

Set X axis.

Parameters

v	X axis vector.

◆ setYAxis()

constexpr void kanzi::Matrix4x4::setYAxis ( Vector3 v )

inlineconstexpr

Set Y axis.

Parameters

v	Y axis vector.

◆ setZAxis()

constexpr void kanzi::Matrix4x4::setZAxis ( Vector3 v )

inlineconstexpr

Set Z axis.

Parameters

v	Z axis vector.

◆ getTranslation()

constexpr Vector3 kanzi::Matrix4x4::getTranslation ( ) const

inlineconstexpr

Get translation.

Returns: Translation vector.

◆ setTranslation()

constexpr void kanzi::Matrix4x4::setTranslation ( Vector3 translation )

inlineconstexpr

Set translation.

Parameters

translation Translation vector.

◆ getTranslationX()

constexpr float kanzi::Matrix4x4::getTranslationX ( ) const

inlineconstexpr

Get translation on X axis.

Returns: Translation X component.

◆ setTranslationX()

constexpr void kanzi::Matrix4x4::setTranslationX ( float translationX )

inlineconstexpr

Set translation on X axis.

Parameters

translationX Translation X component.

◆ getTranslationY()

constexpr float kanzi::Matrix4x4::getTranslationY ( ) const

inlineconstexpr

Get translation on Y axis.

Returns: Translation Y component.

◆ setTranslationY()

constexpr void kanzi::Matrix4x4::setTranslationY ( float translationY )

inlineconstexpr

Set translation on Y axis.

Parameters

translationY Translation Y component.

◆ getTranslationZ()

constexpr float kanzi::Matrix4x4::getTranslationZ ( ) const

inlineconstexpr

Get translation on Z axis.

Returns: Translation Z component.

◆ setTranslationZ()

constexpr void kanzi::Matrix4x4::setTranslationZ ( float translationZ )

inlineconstexpr

Set translation on Z axis.

Parameters

translationZ Translation Y component.

◆ operator+=()

constexpr Matrix4x4 & kanzi::Matrix4x4::operator+= ( const Matrix4x4 & v )

inlineconstexpr

Modifies this matrix by adding another matrix.

Parameters

v	Another matrix.

Returns: This matrix.

◆ operator-=()

constexpr Matrix4x4 & kanzi::Matrix4x4::operator-= ( const Matrix4x4 & v )

inlineconstexpr

Modifies this matrix by subtracting another matrix from this matrix.

Parameters

v	Another matrix.

Returns: This matrix.

◆ operator*() [1/2]

constexpr Vector3 kanzi::Matrix4x4::operator* ( Vector3 rhs ) const

inlineconstexpr

Multiply a 3-component vector with a 4x4 matrix.

Parameters

rhs	Right-hand-side vector.

Returns: Result of the multiplication.

◆ operator*() [2/2]

constexpr Vector4 kanzi::Matrix4x4::operator* ( Vector4 rhs ) const

inlineconstexpr

Multiply a 4-component vector with a 4x4 matrix.

Parameters

rhs	Right-hand-side vector.

Returns: Result of the multiplication.

◆ operator*=()

constexpr Matrix4x4 & kanzi::Matrix4x4::operator*= ( const Matrix4x4 & m )

constexpr

Modifies this matrix by multiplying it with another matrix.

Parameters

m	Another matrix.

Returns: This matrix.

◆ createTranslation() [1/2]

static constexpr Matrix4x4 kanzi::Matrix4x4::createTranslation ( Vector3 translation )

inlinestaticconstexpr

Creates translation matrix.

Parameters

translation Translation vector.

Returns: Translation matrix.

◆ createTranslation() [2/2]

static constexpr Matrix4x4 kanzi::Matrix4x4::createTranslation	(	float	x,
		float	y,
		float	z )

inlinestaticconstexpr

Creates translation matrix.

Parameters

x	X component of the Translation vector.
y	Y component of the Translation vector.
z	Z component of the Translation vector.

Returns: Translation matrix.

◆ createIdentity()

static constexpr Matrix4x4 kanzi::Matrix4x4::createIdentity ( )

inlinestaticconstexpr

Creates identity matrix.

Returns: Identity matrix.

◆ createFromHomogenousMatrix() [1/2]

static constexpr Matrix4x4 kanzi::Matrix4x4::createFromHomogenousMatrix	(	const Matrix3x3 &	matrix,
		float	zTranslation )

inlinestaticconstexpr

Creates a matrix from an existing homogeneous matrix and Z translation.

Parameters

matrix	Homogeneous matrix.
zTranslation	X translation.

Returns: Newly constructed matrix.

◆ createFromHomogenousMatrix() [2/2]

static constexpr Matrix4x4 kanzi::Matrix4x4::createFromHomogenousMatrix ( const Matrix3x3 & matrix )

inlinestaticconstexpr

Creates a matrix from an existing homogeneous matrix.

0.0f is used for the Z translation.

Parameters

matrix Homogeneous matrix.

Returns: Newly constructed matrix.

◆ createRotation()

static Matrix4x4 kanzi::Matrix4x4::createRotation	(	float	angleInRadians,
		Vector3	rotationAxis )

static

Creates a rotation matrix over an arbitrary axis.

Similar to the matrix used by glRotatef. The rotation axis needs not be normalized.

Parameters

angleInRadians	Rotation angle in radians.
rotationAxis	Arbitrary rotation axis.

Returns: Rotation matrix.

◆ createRotationInDegrees()

static Matrix4x4 kanzi::Matrix4x4::createRotationInDegrees	(	float	angleInDegrees,
		Vector3	rotationAxis )

inlinestatic

Creates a rotation matrix over an arbitrary axis.

Similar to the matrix used by glRotatef. The rotation axis needs not be normalized.

Parameters

angleInDegrees	Rotation angle in degrees.
rotationAxis	Arbitrary rotation axis.

Returns: Rotation matrix.

◆ createXRotationInRadians()

static Matrix4x4 kanzi::Matrix4x4::createXRotationInRadians ( float angleInRadians )

static

Creates a X rotation matrix.

Parameters

angleInRadians Rotation angle in radians.

Returns: X Rotation matrix.

◆ createXRotationInDegrees()

static Matrix4x4 kanzi::Matrix4x4::createXRotationInDegrees ( float angleInDegrees )

inlinestatic

Creates a X rotation matrix.

Parameters

angleInDegrees Rotation angle in degrees.

Returns: X Rotation matrix.

◆ createYRotationInRadians()

static Matrix4x4 kanzi::Matrix4x4::createYRotationInRadians ( float angleInRadians )

static

Creates a Y rotation matrix.

Parameters

angleInRadians Rotation angle in radians.

Returns: Y Rotation matrix.

◆ createYRotationInDegrees()

static Matrix4x4 kanzi::Matrix4x4::createYRotationInDegrees ( float angleInDegrees )

inlinestatic

Creates a Y rotation matrix.

Parameters

angleInDegrees Rotation angle in degrees.

Returns: Y Rotation matrix.

◆ createZRotationInRadians()

static Matrix4x4 kanzi::Matrix4x4::createZRotationInRadians ( float angleInRadians )

static

Creates a Z rotation matrix.

Parameters

angleInRadians Rotation angle in radians.

Returns: Z Rotation matrix.

◆ createZRotationInDegrees()

static Matrix4x4 kanzi::Matrix4x4::createZRotationInDegrees ( float angleInDegrees )

inlinestatic

Creates a Z rotation matrix.

Parameters

angleInDegrees Rotation angle in degrees.

Returns: Z Rotation matrix.

◆ createScale()

static constexpr Matrix4x4 kanzi::Matrix4x4::createScale ( Vector3 scale )

inlinestaticconstexpr

Creates a scaling matrix.

Parameters

scale Scaling vector.

Returns: Scaled matrix.

◆ createOrthogonalProjection() [1/2]

static constexpr Matrix4x4 kanzi::Matrix4x4::createOrthogonalProjection	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	nearPlane,
		float	farPlane,
		float	clipNear,
		float	clipFar )

inlinestaticconstexpr

Creates a projection matrix for orthogonal projection.

Parameters

left	The left edge of the viewing box.
right	Viewing box right.
bottom	Viewing box bottom.
top	The top edge of the viewing box.
nearPlane	The distance to the near clipping plane of the camera.
farPlane	The distance to the far clipping plane of the camera.
clipNear	The near edge of the clipping box, usually 0.0 or -1.0.
clipFar	The far edge of the clipping box, usually 1.0.

Returns: The orthogonal projection matrix.

◆ createOrthogonalProjection() [2/2]

static constexpr Matrix4x4 kanzi::Matrix4x4::createOrthogonalProjection	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	nearPlane,
		float	farPlane )

inlinestaticconstexpr

Creates a projection matrix for orthogonal projection.

Maps the z range automatically to the correct clipping box, depending on the backend.

Parameters

left	The left edge of the viewing box.
right	The right edge of the viewing box.
bottom	The bottom edge of the viewing box.
top	The top edge of the viewing box.
nearPlane	The distance to the near clipping plane of the camera.
farPlane	The distance to the far clipping plane of the camera.

Returns: The orthogonal projection matrix.

◆ createPerspectiveProjection() [1/2]

static Matrix4x4 kanzi::Matrix4x4::createPerspectiveProjection	(	float	nearPlane,
		float	farPlane,
		FieldOfViewType	fovType,
		float	fovInDegrees,
		float	aspectRatio )

static

Creates a perspective projection matrix for a symmetrical viewing volume.

Parameters

nearPlane	Camera near value.
farPlane	Camera far value.
fovType	Tells whether the fovInDegrees parameter is xfov or yfov.
fovInDegrees	Field of view in degrees.
aspectRatio	The aspect ratio of the viewport.

Returns: Perspective projection matrix.

◆ createPerspectiveProjection() [2/2]

static Matrix4x4 kanzi::Matrix4x4::createPerspectiveProjection	(	float	nearPlane,
		float	farPlane,
		Vector4	fovInDegrees )

static

Creates a perspective projection matrix for a viewing volume.

Parameters

nearPlane	Camera near value.
farPlane	Camera far value.
fovInDegrees	Field of view in degrees, specified in order left, right, up, down. Angles to the right of center and upwards of center are positive.

Returns: Perspective projection matrix.

◆ createSubProjection()

static Matrix4x4 kanzi::Matrix4x4::createSubProjection	(	const Matrix4x4 &	projection,
		float	relativeOffsetX,
		float	relativeOffsetY,
		float	relativeSizeX,
		float	relativeSizeY )

static

Calculate sub-quad projection of an existing projection matrix.

This is a specific solution for an axis-aligned case.

Old projection matrix = [P00 0 P02 P03] [ 0 P11 P12 P13] [ 0 0 P22 P23] [ 0 0 -1 0]

Translated and scaled: (x, y) |--> (Ox, Oy) + (Sx * x, Sy * y) [Sx P00, 0, Ox P22 + Sx P02, Ox P23] [ 0, Sy P11, Oy P22 + Sy P12, Oy P23] [ 0, 0, P22, P23] [ 0, 0, -1, 0]

Parameters

projection	Projection matrix.
relativeOffsetX	X offset of sub-quad as portion of the size of the projection area.
relativeOffsetY	Y offset of sub-quad as portion of the size of the projection area.
relativeSizeX	Projection area X size in regard to sub-quad area size.
relativeSizeY	Projection area Y size in regard to sub-quad area size.

Returns: Modified projection matrix.

◆ createLookAtMatrix()

static optional< Matrix4x4 > kanzi::Matrix4x4::createLookAtMatrix	(	Vector3	position,
		Vector3	lookAtPoint,
		Vector3	upVector )

static

Creates a lookup transformation matrix, so that it is in a given position looking at the given point.

Parameters

position	The new translation of the node.
lookAtPoint	A point where the node is looking at.
upVector	The new up vector of the node.

Returns: Lookup matrix if position is not the same as lookAtPoint and upVector is not null, nullopt otherwise.

◆ createSRT()

static Matrix4x4 kanzi::Matrix4x4::createSRT	(	Vector3	scale,
		Vector3	rotationInRadians,
		Vector3	translation )

static

Create an SRT matrix.

Parameters

scale	Scales by axises.
rotationInRadians	Rotation component in radians.
translation	Translation component.

Returns: Newly constructed matrix.

◆ createFilled()

static constexpr Matrix4x4 kanzi::Matrix4x4::createFilled ( float value )

inlinestaticconstexpr

Creates a matrix with all elements set to value.

Parameters

value Value to set to all elements.

Returns: Newly constructed matrix.

Since: Kanzi 3.9.9

◆ transposed()

constexpr Matrix4x4 kanzi::Matrix4x4::transposed ( ) const

inlineconstexpr

Applies a transpose to a matrix.

Returns: Newly constructed transpose matrix.

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

kanzi/core/math/matrix4x4.hpp

Public Types

Public Member Functions

Static Public Member Functions

Detailed Description

Member Enumeration Documentation

◆ FieldOfViewType

Constructor & Destructor Documentation

◆ Matrix4x4() [1/5]

◆ Matrix4x4() [2/5]

◆ Matrix4x4() [3/5]

◆ Matrix4x4() [4/5]

◆ Matrix4x4() [5/5]

Member Function Documentation

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ getRow()

◆ getColumn()

◆ setRow()

◆ setColumn()

◆ getXAxis()

◆ getYAxis()

◆ getZAxis()

◆ getScale()

◆ getRotationAngle()

◆ scale()

◆ scaleUniform()

◆ translate()

◆ setXAxis()

◆ setYAxis()

◆ setZAxis()

◆ getTranslation()

◆ setTranslation()

◆ getTranslationX()

◆ setTranslationX()

◆ getTranslationY()

◆ setTranslationY()

◆ getTranslationZ()

◆ setTranslationZ()

◆ operator+=()

◆ operator-=()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator*=()

◆ createTranslation() [1/2]

◆ createTranslation() [2/2]

◆ createIdentity()

◆ createFromHomogenousMatrix() [1/2]

◆ createFromHomogenousMatrix() [2/2]

◆ createRotation()

◆ createRotationInDegrees()

◆ createXRotationInRadians()

◆ createXRotationInDegrees()

◆ createYRotationInRadians()

◆ createYRotationInDegrees()

◆ createZRotationInRadians()

◆ createZRotationInDegrees()

◆ createScale()

◆ createOrthogonalProjection() [1/2]

◆ createOrthogonalProjection() [2/2]

◆ createPerspectiveProjection() [1/2]

◆ createPerspectiveProjection() [2/2]

◆ createSubProjection()

◆ createLookAtMatrix()

◆ createSRT()

◆ createFilled()

◆ transposed()