Detailed Description

Represents the right-handed 4x4 floating point matrix, which can store translation, scale and rotation information.

Inherits IEquatable< Matrix >.

Public Member Functions
	Matrix (float m11, float m12, float m13, float m14, float m21, float m22, float m23, float m24, float m31, float m32, float m33, float m34, float m41, float m42, float m43, float m44)
	Constructs a matrix.

	Matrix (Vector4 row1, Vector4 row2, Vector4 row3, Vector4 row4)
	Constructs a matrix.

bool	Decompose (out Vector3 scale, out Quaternion rotation, out Vector3 translation)
	Decomposes this matrix to translation, rotation and scale elements.

float	Determinant ()
	Returns a determinant of this Matrix.

bool	Equals (Matrix other)
	Compares whether current instance is equal to specified Matrix without any tolerance.

override bool	Equals (object obj)
	Compares whether current instance is equal to specified Object without any tolerance.

override int	GetHashCode ()
	Gets the hash code of this Matrix.

override string	ToString ()
	Returns a String representation of this Matrix in the format: {M11:[M11] M12:[M12] M13:[M13] M14:[M14]} {M21:[M21] M12:[M22] M13:[M23] M14:[M24]} {M31:[M31] M32:[M32] M33:[M33] M34:[M34]} {M41:[M41] M42:[M42] M43:[M43] M44:[M44]}.

Static Public Member Functions
static Matrix	Add (Matrix matrix1, Matrix matrix2)
	Creates a new Matrix which contains sum of two matrixes.

static void	Add (ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
	Creates a new Matrix which contains sum of two matrixes.

static Matrix	CreateBillboard (Vector3 objectPosition, Vector3 cameraPosition, Vector3 cameraUpVector, Nullable< Vector3 > cameraForwardVector)
	Creates a new Matrix for spherical billboarding that rotates around specified object position.

static void	CreateBillboard (ref Vector3 objectPosition, ref Vector3 cameraPosition, ref Vector3 cameraUpVector, Vector3? cameraForwardVector, out Matrix result)
	Creates a new Matrix for spherical billboarding that rotates around specified object position.

static Matrix	CreateConstrainedBillboard (Vector3 objectPosition, Vector3 cameraPosition, Vector3 rotateAxis, Nullable< Vector3 > cameraForwardVector, Nullable< Vector3 > objectForwardVector)
	Creates a new Matrix for cylindrical billboarding that rotates around specified axis.

static void	CreateConstrainedBillboard (ref Vector3 objectPosition, ref Vector3 cameraPosition, ref Vector3 rotateAxis, Vector3? cameraForwardVector, Vector3? objectForwardVector, out Matrix result)
	Creates a new Matrix for cylindrical billboarding that rotates around specified axis.

static Matrix	CreateFromAxisAngle (Vector3 axis, float angle)
	Creates a new Matrix which contains the rotation moment around specified axis.

static void	CreateFromAxisAngle (ref Vector3 axis, float angle, out Matrix result)
	Creates a new Matrix which contains the rotation moment around specified axis.

static Matrix	CreateFromQuaternion (Quaternion quaternion)
	Creates a new rotation Matrix from a Quaternion.

static void	CreateFromQuaternion (ref Quaternion quaternion, out Matrix result)
	Creates a new rotation Matrix from a Quaternion.

static Matrix	CreateFromYawPitchRoll (float yaw, float pitch, float roll)
	Creates a new rotation Matrix from the specified yaw, pitch and roll values.

static void	CreateFromYawPitchRoll (float yaw, float pitch, float roll, out Matrix result)
	Creates a new rotation Matrix from the specified yaw, pitch and roll values.

static Matrix	CreateLookAt (Vector3 cameraPosition, Vector3 cameraTarget, Vector3 cameraUpVector)
	Creates a new viewing Matrix.

static void	CreateLookAt (ref Vector3 cameraPosition, ref Vector3 cameraTarget, ref Vector3 cameraUpVector, out Matrix result)
	Creates a new viewing Matrix.

static Matrix	CreateOrthographic (float width, float height, float zNearPlane, float zFarPlane)
	Creates a new projection Matrix for orthographic view.

static void	CreateOrthographic (float width, float height, float zNearPlane, float zFarPlane, out Matrix result)
	Creates a new projection Matrix for orthographic view.

static Matrix	CreateOrthographicOffCenter (float left, float right, float bottom, float top, float zNearPlane, float zFarPlane)
	Creates a new projection Matrix for customized orthographic view.

static Matrix	CreateOrthographicOffCenter (Rectangle viewingVolume, float zNearPlane, float zFarPlane)
	Creates a new projection Matrix for customized orthographic view.

static void	CreateOrthographicOffCenter (float left, float right, float bottom, float top, float zNearPlane, float zFarPlane, out Matrix result)
	Creates a new projection Matrix for customized orthographic view.

static Matrix	CreatePerspective (float width, float height, float nearPlaneDistance, float farPlaneDistance)
	Creates a new projection Matrix for perspective view.

static void	CreatePerspective (float width, float height, float nearPlaneDistance, float farPlaneDistance, out Matrix result)
	Creates a new projection Matrix for perspective view.

static Matrix	CreatePerspectiveFieldOfView (float fieldOfView, float aspectRatio, float nearPlaneDistance, float farPlaneDistance)
	Creates a new projection Matrix for perspective view with field of view.

static void	CreatePerspectiveFieldOfView (float fieldOfView, float aspectRatio, float nearPlaneDistance, float farPlaneDistance, out Matrix result)
	Creates a new projection Matrix for perspective view with field of view.

static Matrix	CreatePerspectiveOffCenter (float left, float right, float bottom, float top, float nearPlaneDistance, float farPlaneDistance)
	Creates a new projection Matrix for customized perspective view.

static Matrix	CreatePerspectiveOffCenter (Rectangle viewingVolume, float nearPlaneDistance, float farPlaneDistance)
	Creates a new projection Matrix for customized perspective view.

static void	CreatePerspectiveOffCenter (float left, float right, float bottom, float top, float nearPlaneDistance, float farPlaneDistance, out Matrix result)
	Creates a new projection Matrix for customized perspective view.

static Matrix	CreateRotationX (float radians)
	Creates a new rotation Matrix around X axis.

static void	CreateRotationX (float radians, out Matrix result)
	Creates a new rotation Matrix around X axis.

static Matrix	CreateRotationY (float radians)
	Creates a new rotation Matrix around Y axis.

static void	CreateRotationY (float radians, out Matrix result)
	Creates a new rotation Matrix around Y axis.

static Matrix	CreateRotationZ (float radians)
	Creates a new rotation Matrix around Z axis.

static void	CreateRotationZ (float radians, out Matrix result)
	Creates a new rotation Matrix around Z axis.

static Matrix	CreateScale (float scale)
	Creates a new scaling Matrix.

static void	CreateScale (float scale, out Matrix result)
	Creates a new scaling Matrix.

static Matrix	CreateScale (float xScale, float yScale, float zScale)
	Creates a new scaling Matrix.

static void	CreateScale (float xScale, float yScale, float zScale, out Matrix result)
	Creates a new scaling Matrix.

static Matrix	CreateScale (Vector3 scales)
	Creates a new scaling Matrix.

static void	CreateScale (ref Vector3 scales, out Matrix result)
	Creates a new scaling Matrix.

static Matrix	CreateShadow (Vector3 lightDirection, Plane plane)
	Creates a new Matrix that flattens geometry into a specified Plane as if casting a shadow from a specified light source.

static void	CreateShadow (ref Vector3 lightDirection, ref Plane plane, out Matrix result)
	Creates a new Matrix that flattens geometry into a specified Plane as if casting a shadow from a specified light source.

static Matrix	CreateTranslation (float xPosition, float yPosition, float zPosition)
	Creates a new translation Matrix.

static void	CreateTranslation (ref Vector3 position, out Matrix result)
	Creates a new translation Matrix.

static Matrix	CreateTranslation (Vector3 position)
	Creates a new translation Matrix.

static void	CreateTranslation (float xPosition, float yPosition, float zPosition, out Matrix result)
	Creates a new translation Matrix.

static Matrix	CreateReflection (Plane value)
	Creates a new reflection Matrix.

static void	CreateReflection (ref Plane value, out Matrix result)
	Creates a new reflection Matrix.

static Matrix	CreateWorld (Vector3 position, Vector3 forward, Vector3 up)
	Creates a new world Matrix.

static void	CreateWorld (ref Vector3 position, ref Vector3 forward, ref Vector3 up, out Matrix result)
	Creates a new world Matrix.

static Matrix	Divide (Matrix matrix1, Matrix matrix2)
	Divides the elements of a Matrix by the elements of another matrix.

static void	Divide (ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
	Divides the elements of a Matrix by the elements of another matrix.

static Matrix	Divide (Matrix matrix1, float divider)
	Divides the elements of a Matrix by a scalar.

static void	Divide (ref Matrix matrix1, float divider, out Matrix result)
	Divides the elements of a Matrix by a scalar.

static Matrix	Invert (Matrix matrix)
	Creates a new Matrix which contains inversion of the specified matrix.

static void	Invert (ref Matrix matrix, out Matrix result)
	Creates a new Matrix which contains inversion of the specified matrix.

static Matrix	Lerp (Matrix matrix1, Matrix matrix2, float amount)
	Creates a new Matrix that contains linear interpolation of the values in specified matrixes.

static void	Lerp (ref Matrix matrix1, ref Matrix matrix2, float amount, out Matrix result)
	Creates a new Matrix that contains linear interpolation of the values in specified matrixes.

static Matrix	Multiply (Matrix matrix1, Matrix matrix2)
	Creates a new Matrix that contains a multiplication of two matrix.

static void	Multiply (ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
	Creates a new Matrix that contains a multiplication of two matrix.

static Matrix	Multiply (Matrix matrix1, float scaleFactor)
	Creates a new Matrix that contains a multiplication of Matrix and a scalar.

static void	Multiply (ref Matrix matrix1, float scaleFactor, out Matrix result)
	Creates a new Matrix that contains a multiplication of Matrix and a scalar.

static float[]	ToFloatArray (Matrix matrix)
	Copy the values of specified Matrix to the float array.

static Matrix	Negate (Matrix matrix)
	Returns a matrix with the all values negated.

static void	Negate (ref Matrix matrix, out Matrix result)
	Returns a matrix with the all values negated.

static Matrix	operator+ (Matrix matrix1, Matrix matrix2)
	Adds two matrixes.

static Matrix	operator/ (Matrix matrix1, Matrix matrix2)
	Divides the elements of a Matrix by the elements of another Matrix.

static Matrix	operator/ (Matrix matrix, float divider)
	Divides the elements of a Matrix by a scalar.

static bool	operator== (Matrix matrix1, Matrix matrix2)
	Compares whether two Matrix instances are equal without any tolerance.

static bool	operator!= (Matrix matrix1, Matrix matrix2)
	Compares whether two Matrix instances are not equal without any tolerance.

static Matrix	operator* (Matrix matrix1, Matrix matrix2)
	Multiplies two matrixes.

static Matrix	operator* (Matrix matrix, float scaleFactor)
	Multiplies the elements of matrix by a scalar.

static Matrix	operator- (Matrix matrix1, Matrix matrix2)
	Subtracts the values of one Matrix from another Matrix.

static Matrix	operator- (Matrix matrix)
	Inverts values in the specified Matrix.

static Matrix	Subtract (Matrix matrix1, Matrix matrix2)
	Creates a new Matrix that contains subtraction of one matrix from another.

static void	Subtract (ref Matrix matrix1, ref Matrix matrix2, out Matrix result)
	Creates a new Matrix that contains subtraction of one matrix from another.

static Matrix	Transpose (Matrix matrix)
	Swap the matrix rows and columns.

static void	Transpose (ref Matrix matrix, out Matrix result)
	Swap the matrix rows and columns.

Public Attributes
float	M11
	A first row and first column value.

float	M12
	A first row and second column value.

float	M13
	A first row and third column value.

float	M14
	A first row and fourth column value.

float	M21
	A second row and first column value.

float	M22
	A second row and second column value.

float	M23
	A second row and third column value.

float	M24
	A second row and fourth column value.

float	M31
	A third row and first column value.

float	M32
	A third row and second column value.

float	M33
	A third row and third column value.

float	M34
	A third row and fourth column value.

float	M41
	A fourth row and first column value.

float	M42
	A fourth row and second column value.

float	M43
	A fourth row and third column value.

float	M44
	A fourth row and fourth column value.

Properties
float	this[int index] `[get, set]`

float	this[int row, int column] `[get, set]`

Vector3	Backward `[get, set]`
	The backward vector formed from the third row M31, M32, M33 elements.

Vector3	Down `[get, set]`
	The down vector formed from the second row -M21, -M22, -M23 elements.

Vector3	Forward `[get, set]`
	The forward vector formed from the third row -M31, -M32, -M33 elements.

static Matrix	Identity `[get]`
	Returns the identity matrix.

Vector3	Left `[get, set]`
	The left vector formed from the first row -M11, -M12, -M13 elements.

Vector3	Right `[get, set]`
	The right vector formed from the first row M11, M12, M13 elements.

Vector3	Translation `[get, set]`
	Position stored in this matrix.

Vector3	Up `[get, set]`
	The upper vector formed from the second row M21, M22, M23 elements.

string	DebugDisplayString `[get]`

Static Private Member Functions
static void	FindDeterminants (ref Matrix matrix, out float major, out float minor1, out float minor2, out float minor3, out float minor4, out float minor5, out float minor6, out float minor7, out float minor8, out float minor9, out float minor10, out float minor11, out float minor12)
	Helper method for using the Laplace expansion theorem using two rows expansions to calculate major and minor determinants of a 4x4 matrix.

Static Private Attributes
static Matrix	identity

Constructor & Destructor Documentation

◆ Matrix() [1/2]

Mathf.Matrix.Matrix	(	float	m11,
		float	m12,
		float	m13,
		float	m14,
		float	m21,
		float	m22,
		float	m23,
		float	m24,
		float	m31,
		float	m32,
		float	m33,
		float	m34,
		float	m41,
		float	m42,
		float	m43,
		float	m44 )

inline

Constructs a matrix.

Parameters

m11	A first row and first column value.
m12	A first row and second column value.
m13	A first row and third column value.
m14	A first row and fourth column value.
m21	A second row and first column value.
m22	A second row and second column value.
m23	A second row and third column value.
m24	A second row and fourth column value.
m31	A third row and first column value.
m32	A third row and second column value.
m33	A third row and third column value.
m34	A third row and fourth column value.
m41	A fourth row and first column value.
m42	A fourth row and second column value.
m43	A fourth row and third column value.
m44	A fourth row and fourth column value.

◆ Matrix() [2/2]

Mathf.Matrix.Matrix	(	Vector4	row1,
		Vector4	row2,
		Vector4	row3,
		Vector4	row4 )

inline

Constructs a matrix.

Parameters

row1	A first row of the created matrix.
row2	A second row of the created matrix.
row3	A third row of the created matrix.
row4	A fourth row of the created matrix.

Member Function Documentation

◆ Add() [1/2]

static Matrix Mathf.Matrix.Add	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Creates a new Matrix which contains sum of two matrixes.

Parameters

matrix1	The first matrix to add.
matrix2	The second matrix to add.

Returns: The result of the matrix addition.

◆ Add() [2/2]

static void Mathf.Matrix.Add	(	ref Matrix	matrix1,
		ref Matrix	matrix2,
		out Matrix	result )

inlinestatic

Creates a new Matrix which contains sum of two matrixes.

Parameters

matrix1	The first matrix to add.
matrix2	The second matrix to add.
result	The result of the matrix addition as an output parameter.

◆ CreateBillboard() [1/2]

static void Mathf.Matrix.CreateBillboard	(	ref Vector3	objectPosition,
		ref Vector3	cameraPosition,
		ref Vector3	cameraUpVector,
		Vector3?	cameraForwardVector,
		out Matrix	result )

inlinestatic

Creates a new Matrix for spherical billboarding that rotates around specified object position.

Parameters

objectPosition	Position of billboard object. It will rotate around that vector.
cameraPosition	The camera position.
cameraUpVector	The camera up vector.
cameraForwardVector	Optional camera forward vector.
result	The Matrix for spherical billboarding as an output parameter.

◆ CreateBillboard() [2/2]

static Matrix Mathf.Matrix.CreateBillboard	(	Vector3	objectPosition,
		Vector3	cameraPosition,
		Vector3	cameraUpVector,
		Nullable< Vector3 >	cameraForwardVector )

inlinestatic

Creates a new Matrix for spherical billboarding that rotates around specified object position.

Parameters

objectPosition	Position of billboard object. It will rotate around that vector.
cameraPosition	The camera position.
cameraUpVector	The camera up vector.
cameraForwardVector	Optional camera forward vector.

Returns: The Matrix for spherical billboarding.

◆ CreateConstrainedBillboard() [1/2]

static void Mathf.Matrix.CreateConstrainedBillboard	(	ref Vector3	objectPosition,
		ref Vector3	cameraPosition,
		ref Vector3	rotateAxis,
		Vector3?	cameraForwardVector,
		Vector3?	objectForwardVector,
		out Matrix	result )

inlinestatic

Creates a new Matrix for cylindrical billboarding that rotates around specified axis.

Parameters

objectPosition	Object position the billboard will rotate around.
cameraPosition	Camera position.
rotateAxis	Axis of billboard for rotation.
cameraForwardVector	Optional camera forward vector.
objectForwardVector	Optional object forward vector.
result	The Matrix for cylindrical billboarding as an output parameter.

◆ CreateConstrainedBillboard() [2/2]

static Matrix Mathf.Matrix.CreateConstrainedBillboard	(	Vector3	objectPosition,
		Vector3	cameraPosition,
		Vector3	rotateAxis,
		Nullable< Vector3 >	cameraForwardVector,
		Nullable< Vector3 >	objectForwardVector )

inlinestatic

Creates a new Matrix for cylindrical billboarding that rotates around specified axis.

Parameters

objectPosition	Object position the billboard will rotate around.
cameraPosition	Camera position.
rotateAxis	Axis of billboard for rotation.
cameraForwardVector	Optional camera forward vector.
objectForwardVector	Optional object forward vector.

Returns: The Matrix for cylindrical billboarding.

◆ CreateFromAxisAngle() [1/2]

static void Mathf.Matrix.CreateFromAxisAngle	(	ref Vector3	axis,
		float	angle,
		out Matrix	result )

inlinestatic

Creates a new Matrix which contains the rotation moment around specified axis.

Parameters

axis	The axis of rotation.
angle	The angle of rotation in radians.
result	The rotation Matrix as an output parameter.

◆ CreateFromAxisAngle() [2/2]

static Matrix Mathf.Matrix.CreateFromAxisAngle	(	Vector3	axis,
		float	angle )

inlinestatic

Creates a new Matrix which contains the rotation moment around specified axis.

Parameters

axis	The axis of rotation.
angle	The angle of rotation in radians.

Returns: The rotation Matrix.

◆ CreateFromQuaternion() [1/2]

static Matrix Mathf.Matrix.CreateFromQuaternion ( Quaternion quaternion )

inlinestatic

Creates a new rotation Matrix from a Quaternion.

Parameters

quaternion Quaternion of rotation moment.

Returns: The rotation Matrix.

◆ CreateFromQuaternion() [2/2]

static void Mathf.Matrix.CreateFromQuaternion	(	ref Quaternion	quaternion,
		out Matrix	result )

inlinestatic

Creates a new rotation Matrix from a Quaternion.

Parameters

quaternion	Quaternion of rotation moment.
result	The rotation Matrix as an output parameter.

◆ CreateFromYawPitchRoll() [1/2]

static Matrix Mathf.Matrix.CreateFromYawPitchRoll	(	float	yaw,
		float	pitch,
		float	roll )

inlinestatic

Creates a new rotation Matrix from the specified yaw, pitch and roll values.

Parameters

yaw	The yaw rotation value in radians.
pitch	The pitch rotation value in radians.
roll	The roll rotation value in radians.

Returns: The rotation Matrix.

For more information about yaw, pitch and roll visit http://en.wikipedia.org/wiki/Euler_angles.

◆ CreateFromYawPitchRoll() [2/2]

static void Mathf.Matrix.CreateFromYawPitchRoll	(	float	yaw,
		float	pitch,
		float	roll,
		out Matrix	result )

inlinestatic

Creates a new rotation Matrix from the specified yaw, pitch and roll values.

Parameters

yaw	The yaw rotation value in radians.
pitch	The pitch rotation value in radians.
roll	The roll rotation value in radians.
result	The rotation Matrix as an output parameter.

For more information about yaw, pitch and roll visit http://en.wikipedia.org/wiki/Euler_angles.

◆ CreateLookAt() [1/2]

static void Mathf.Matrix.CreateLookAt	(	ref Vector3	cameraPosition,
		ref Vector3	cameraTarget,
		ref Vector3	cameraUpVector,
		out Matrix	result )

inlinestatic

Creates a new viewing Matrix.

Parameters

cameraPosition	Position of the camera.
cameraTarget	Lookup vector of the camera.
cameraUpVector	The direction of the upper edge of the camera.
result	The viewing Matrix as an output parameter.

◆ CreateLookAt() [2/2]

static Matrix Mathf.Matrix.CreateLookAt	(	Vector3	cameraPosition,
		Vector3	cameraTarget,
		Vector3	cameraUpVector )

inlinestatic

Creates a new viewing Matrix.

Parameters

cameraPosition	Position of the camera.
cameraTarget	Lookup vector of the camera.
cameraUpVector	The direction of the upper edge of the camera.

Returns: The viewing Matrix.

◆ CreateOrthographic() [1/2]

static Matrix Mathf.Matrix.CreateOrthographic	(	float	width,
		float	height,
		float	zNearPlane,
		float	zFarPlane )

inlinestatic

Creates a new projection Matrix for orthographic view.

Parameters

width	Width of the viewing volume.
height	Height of the viewing volume.
zNearPlane	Depth of the near plane.
zFarPlane	Depth of the far plane.

Returns: The new projection Matrix for orthographic view.

◆ CreateOrthographic() [2/2]

static void Mathf.Matrix.CreateOrthographic	(	float	width,
		float	height,
		float	zNearPlane,
		float	zFarPlane,
		out Matrix	result )

inlinestatic

Creates a new projection Matrix for orthographic view.

Parameters

width	Width of the viewing volume.
height	Height of the viewing volume.
zNearPlane	Depth of the near plane.
zFarPlane	Depth of the far plane.
result	The new projection Matrix for orthographic view as an output parameter.

◆ CreateOrthographicOffCenter() [1/3]

static Matrix Mathf.Matrix.CreateOrthographicOffCenter	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	zNearPlane,
		float	zFarPlane )

inlinestatic

Creates a new projection Matrix for customized orthographic view.

Parameters

left	Lower x-value at the near plane.
right	Upper x-value at the near plane.
bottom	Lower y-coordinate at the near plane.
top	Upper y-value at the near plane.
zNearPlane	Depth of the near plane.
zFarPlane	Depth of the far plane.

Returns: The new projection Matrix for customized orthographic view.

◆ CreateOrthographicOffCenter() [2/3]

static void Mathf.Matrix.CreateOrthographicOffCenter	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	zNearPlane,
		float	zFarPlane,
		out Matrix	result )

inlinestatic

Creates a new projection Matrix for customized orthographic view.

Parameters

left	Lower x-value at the near plane.
right	Upper x-value at the near plane.
bottom	Lower y-coordinate at the near plane.
top	Upper y-value at the near plane.
zNearPlane	Depth of the near plane.
zFarPlane	Depth of the far plane.
result	The new projection Matrix for customized orthographic view as an output parameter.

◆ CreateOrthographicOffCenter() [3/3]

static Matrix Mathf.Matrix.CreateOrthographicOffCenter	(	Rectangle	viewingVolume,
		float	zNearPlane,
		float	zFarPlane )

inlinestatic

Creates a new projection Matrix for customized orthographic view.

Parameters

viewingVolume	The viewing volume.
zNearPlane	Depth of the near plane.
zFarPlane	Depth of the far plane.

Returns: The new projection Matrix for customized orthographic view.

◆ CreatePerspective() [1/2]

static Matrix Mathf.Matrix.CreatePerspective	(	float	width,
		float	height,
		float	nearPlaneDistance,
		float	farPlaneDistance )

inlinestatic

Creates a new projection Matrix for perspective view.

Parameters

width	Width of the viewing volume.
height	Height of the viewing volume.
nearPlaneDistance	Distance to the near plane.
farPlaneDistance	Distance to the far plane.

Returns: The new projection Matrix for perspective view.

◆ CreatePerspective() [2/2]

static void Mathf.Matrix.CreatePerspective	(	float	width,
		float	height,
		float	nearPlaneDistance,
		float	farPlaneDistance,
		out Matrix	result )

inlinestatic

Creates a new projection Matrix for perspective view.

Parameters

width	Width of the viewing volume.
height	Height of the viewing volume.
nearPlaneDistance	Distance to the near plane.
farPlaneDistance	Distance to the far plane.
result	The new projection Matrix for perspective view as an output parameter.

◆ CreatePerspectiveFieldOfView() [1/2]

static Matrix Mathf.Matrix.CreatePerspectiveFieldOfView	(	float	fieldOfView,
		float	aspectRatio,
		float	nearPlaneDistance,
		float	farPlaneDistance )

inlinestatic

Creates a new projection Matrix for perspective view with field of view.

Parameters

fieldOfView	Field of view in the y direction in radians.
aspectRatio	Width divided by height of the viewing volume.
nearPlaneDistance	Distance to the near plane.
farPlaneDistance	Distance to the far plane.

Returns: The new projection Matrix for perspective view with FOV.

◆ CreatePerspectiveFieldOfView() [2/2]

static void Mathf.Matrix.CreatePerspectiveFieldOfView	(	float	fieldOfView,
		float	aspectRatio,
		float	nearPlaneDistance,
		float	farPlaneDistance,
		out Matrix	result )

inlinestatic

Creates a new projection Matrix for perspective view with field of view.

Parameters

fieldOfView	Field of view in the y direction in radians.
aspectRatio	Width divided by height of the viewing volume.
nearPlaneDistance	Distance of the near plane.
farPlaneDistance	Distance of the far plane.
result	The new projection Matrix for perspective view with FOV as an output parameter.

◆ CreatePerspectiveOffCenter() [1/3]

static Matrix Mathf.Matrix.CreatePerspectiveOffCenter	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	nearPlaneDistance,
		float	farPlaneDistance )

inlinestatic

Creates a new projection Matrix for customized perspective view.

Parameters

left	Lower x-value at the near plane.
right	Upper x-value at the near plane.
bottom	Lower y-coordinate at the near plane.
top	Upper y-value at the near plane.
nearPlaneDistance	Distance to the near plane.
farPlaneDistance	Distance to the far plane.

Returns: The new Matrix for customized perspective view.

◆ CreatePerspectiveOffCenter() [2/3]

static void Mathf.Matrix.CreatePerspectiveOffCenter	(	float	left,
		float	right,
		float	bottom,
		float	top,
		float	nearPlaneDistance,
		float	farPlaneDistance,
		out Matrix	result )

inlinestatic

Creates a new projection Matrix for customized perspective view.

Parameters

left	Lower x-value at the near plane.
right	Upper x-value at the near plane.
bottom	Lower y-coordinate at the near plane.
top	Upper y-value at the near plane.
nearPlaneDistance	Distance to the near plane.
farPlaneDistance	Distance to the far plane.
result	The new Matrix for customized perspective view as an output parameter.

◆ CreatePerspectiveOffCenter() [3/3]

static Matrix Mathf.Matrix.CreatePerspectiveOffCenter	(	Rectangle	viewingVolume,
		float	nearPlaneDistance,
		float	farPlaneDistance )

inlinestatic

Creates a new projection Matrix for customized perspective view.

Parameters

viewingVolume	The viewing volume.
nearPlaneDistance	Distance to the near plane.
farPlaneDistance	Distance to the far plane.

Returns: The new Matrix for customized perspective view.

◆ CreateReflection() [1/2]

static Matrix Mathf.Matrix.CreateReflection ( Plane value )

inlinestatic

Creates a new reflection Matrix.

Parameters

value The plane that used for reflection calculation.

Returns: The reflection Matrix.

◆ CreateReflection() [2/2]

static void Mathf.Matrix.CreateReflection	(	ref Plane	value,
		out Matrix	result )

inlinestatic

Creates a new reflection Matrix.

Parameters

value	The plane that used for reflection calculation.
result	The reflection Matrix as an output parameter.

◆ CreateRotationX() [1/2]

static Matrix Mathf.Matrix.CreateRotationX ( float radians )

inlinestatic

Creates a new rotation Matrix around X axis.

Parameters

radians Angle in radians.

Returns: The rotation Matrix around X axis.

◆ CreateRotationX() [2/2]

static void Mathf.Matrix.CreateRotationX	(	float	radians,
		out Matrix	result )

inlinestatic

Creates a new rotation Matrix around X axis.

Parameters

radians	Angle in radians.
result	The rotation Matrix around X axis as an output parameter.

◆ CreateRotationY() [1/2]

static Matrix Mathf.Matrix.CreateRotationY ( float radians )

inlinestatic

Creates a new rotation Matrix around Y axis.

Parameters

radians Angle in radians.

Returns: The rotation Matrix around Y axis.

◆ CreateRotationY() [2/2]

static void Mathf.Matrix.CreateRotationY	(	float	radians,
		out Matrix	result )

inlinestatic

Creates a new rotation Matrix around Y axis.

Parameters

radians	Angle in radians.
result	The rotation Matrix around Y axis as an output parameter.

◆ CreateRotationZ() [1/2]

static Matrix Mathf.Matrix.CreateRotationZ ( float radians )

inlinestatic

Creates a new rotation Matrix around Z axis.

Parameters

radians Angle in radians.

Returns: The rotation Matrix around Z axis.

◆ CreateRotationZ() [2/2]

static void Mathf.Matrix.CreateRotationZ	(	float	radians,
		out Matrix	result )

inlinestatic

Creates a new rotation Matrix around Z axis.

Parameters

radians	Angle in radians.
result	The rotation Matrix around Z axis as an output parameter.

◆ CreateScale() [1/6]

static Matrix Mathf.Matrix.CreateScale ( float scale )

inlinestatic

Creates a new scaling Matrix.

Parameters

scale Scale value for all three axises.

Returns: The scaling Matrix.

◆ CreateScale() [2/6]

static void Mathf.Matrix.CreateScale	(	float	scale,
		out Matrix	result )

inlinestatic

Creates a new scaling Matrix.

Parameters

scale	Scale value for all three axises.
result	The scaling Matrix as an output parameter.

◆ CreateScale() [3/6]

static Matrix Mathf.Matrix.CreateScale	(	float	xScale,
		float	yScale,
		float	zScale )

inlinestatic

Creates a new scaling Matrix.

Parameters

xScale	Scale value for X axis.
yScale	Scale value for Y axis.
zScale	Scale value for Z axis.

Returns: The scaling Matrix.

◆ CreateScale() [4/6]

static void Mathf.Matrix.CreateScale	(	float	xScale,
		float	yScale,
		float	zScale,
		out Matrix	result )

inlinestatic

Creates a new scaling Matrix.

Parameters

xScale	Scale value for X axis.
yScale	Scale value for Y axis.
zScale	Scale value for Z axis.
result	The scaling Matrix as an output parameter.

◆ CreateScale() [5/6]

static void Mathf.Matrix.CreateScale	(	ref Vector3	scales,
		out Matrix	result )

inlinestatic

Creates a new scaling Matrix.

Parameters

scales	Vector3 representing x,y and z scale values.
result	The scaling Matrix as an output parameter.

◆ CreateScale() [6/6]

static Matrix Mathf.Matrix.CreateScale ( Vector3 scales )

inlinestatic

Creates a new scaling Matrix.

Parameters

scales Vector3 representing x,y and z scale values.

Returns: The scaling Matrix.

◆ CreateShadow() [1/2]

static void Mathf.Matrix.CreateShadow	(	ref Vector3	lightDirection,
		ref Plane	plane,
		out Matrix	result )

inlinestatic

Creates a new Matrix that flattens geometry into a specified Plane as if casting a shadow from a specified light source.

Parameters

lightDirection	A vector specifying the direction from which the light that will cast the shadow is coming.
plane	The plane onto which the new matrix should flatten geometry so as to cast a shadow.
result	A Matrix that can be used to flatten geometry onto the specified plane from the specified direction as an output parameter.

◆ CreateShadow() [2/2]

static Matrix Mathf.Matrix.CreateShadow	(	Vector3	lightDirection,
		Plane	plane )

inlinestatic

Creates a new Matrix that flattens geometry into a specified Plane as if casting a shadow from a specified light source.

Parameters

lightDirection	A vector specifying the direction from which the light that will cast the shadow is coming.
plane	The plane onto which the new matrix should flatten geometry so as to cast a shadow.

Returns: A Matrix that can be used to flatten geometry onto the specified plane from the specified direction.

◆ CreateTranslation() [1/4]

static Matrix Mathf.Matrix.CreateTranslation	(	float	xPosition,
		float	yPosition,
		float	zPosition )

inlinestatic

Creates a new translation Matrix.

Parameters

xPosition	X coordinate of translation.
yPosition	Y coordinate of translation.
zPosition	Z coordinate of translation.

Returns: The translation Matrix.

◆ CreateTranslation() [2/4]

static void Mathf.Matrix.CreateTranslation	(	float	xPosition,
		float	yPosition,
		float	zPosition,
		out Matrix	result )

inlinestatic

Creates a new translation Matrix.

Parameters

xPosition	X coordinate of translation.
yPosition	Y coordinate of translation.
zPosition	Z coordinate of translation.
result	The translation Matrix as an output parameter.

◆ CreateTranslation() [3/4]

static void Mathf.Matrix.CreateTranslation	(	ref Vector3	position,
		out Matrix	result )

inlinestatic

Creates a new translation Matrix.

Parameters

position	X,Y and Z coordinates of translation.
result	The translation Matrix as an output parameter.

◆ CreateTranslation() [4/4]

static Matrix Mathf.Matrix.CreateTranslation ( Vector3 position )

inlinestatic

Creates a new translation Matrix.

Parameters

position X,Y and Z coordinates of translation.

Returns: The translation Matrix.

◆ CreateWorld() [1/2]

static void Mathf.Matrix.CreateWorld	(	ref Vector3	position,
		ref Vector3	forward,
		ref Vector3	up,
		out Matrix	result )

inlinestatic

Creates a new world Matrix.

Parameters

position	The position vector.
forward	The forward direction vector.
up	The upward direction vector. Usually Vector3.Up.
result	The world Matrix as an output parameter.

◆ CreateWorld() [2/2]

static Matrix Mathf.Matrix.CreateWorld	(	Vector3	position,
		Vector3	forward,
		Vector3	up )

inlinestatic

Creates a new world Matrix.

Parameters

position	The position vector.
forward	The forward direction vector.
up	The upward direction vector. Usually Vector3.Up.

Returns: The world Matrix.

◆ Decompose()

bool Mathf.Matrix.Decompose	(	out Vector3	scale,
		out Quaternion	rotation,
		out Vector3	translation )

inline

Decomposes this matrix to translation, rotation and scale elements.

Returns true if matrix can be decomposed; false otherwise.

Parameters

scale	Scale vector as an output parameter.
rotation	Rotation quaternion as an output parameter.
translation	Translation vector as an output parameter.

Returns: true if matrix can be decomposed; false otherwise.

◆ Determinant()

float Mathf.Matrix.Determinant ( )

inline

Returns a determinant of this Matrix.

Returns: Determinant of this Matrix

See more about determinant here - http://en.wikipedia.org/wiki/Determinant.

◆ Divide() [1/4]

static Matrix Mathf.Matrix.Divide	(	Matrix	matrix1,
		float	divider )

inlinestatic

Divides the elements of a Matrix by a scalar.

Parameters

matrix1	Source Matrix.
divider	Divisor scalar.

Returns: The result of dividing a matrix by a scalar.

◆ Divide() [2/4]

static Matrix Mathf.Matrix.Divide	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Divides the elements of a Matrix by the elements of another matrix.

Parameters

matrix1	Source Matrix.
matrix2	Divisor Matrix.

Returns: The result of dividing the matrix.

◆ Divide() [3/4]

static void Mathf.Matrix.Divide	(	ref Matrix	matrix1,
		float	divider,
		out Matrix	result )

inlinestatic

Divides the elements of a Matrix by a scalar.

Parameters

matrix1	Source Matrix.
divider	Divisor scalar.
result	The result of dividing a matrix by a scalar as an output parameter.

◆ Divide() [4/4]

static void Mathf.Matrix.Divide	(	ref Matrix	matrix1,
		ref Matrix	matrix2,
		out Matrix	result )

inlinestatic

Divides the elements of a Matrix by the elements of another matrix.

Parameters

matrix1	Source Matrix.
matrix2	Divisor Matrix.
result	The result of dividing the matrix as an output parameter.

◆ Equals() [1/2]

bool Mathf.Matrix.Equals ( Matrix other )

inline

Compares whether current instance is equal to specified Matrix without any tolerance.

Parameters

other The Matrix to compare.

Returns: true if the instances are equal; false otherwise.

◆ Equals() [2/2]

override bool Mathf.Matrix.Equals ( object obj )

inline

Compares whether current instance is equal to specified Object without any tolerance.

Parameters

obj	The Object to compare.

Returns: true if the instances are equal; false otherwise.

◆ FindDeterminants()

static void Mathf.Matrix.FindDeterminants	(	ref Matrix	matrix,
		out float	major,
		out float	minor1,
		out float	minor2,
		out float	minor3,
		out float	minor4,
		out float	minor5,
		out float	minor6,
		out float	minor7,
		out float	minor8,
		out float	minor9,
		out float	minor10,
		out float	minor11,
		out float	minor12 )

inlinestaticprivate

Helper method for using the Laplace expansion theorem using two rows expansions to calculate major and minor determinants of a 4x4 matrix.

This method is used for inverting a matrix.

◆ GetHashCode()

override int Mathf.Matrix.GetHashCode ( )

inline

Gets the hash code of this Matrix.

Returns: Hash code of this Matrix.

◆ Invert() [1/2]

static Matrix Mathf.Matrix.Invert ( Matrix matrix )

inlinestatic

Creates a new Matrix which contains inversion of the specified matrix.

Parameters

matrix Source Matrix.

Returns: The inverted matrix.

◆ Invert() [2/2]

static void Mathf.Matrix.Invert	(	ref Matrix	matrix,
		out Matrix	result )

inlinestatic

Creates a new Matrix which contains inversion of the specified matrix.

Parameters

matrix	Source Matrix.
result	The inverted matrix as output parameter.

◆ Lerp() [1/2]

static Matrix Mathf.Matrix.Lerp	(	Matrix	matrix1,
		Matrix	matrix2,
		float	amount )

inlinestatic

Creates a new Matrix that contains linear interpolation of the values in specified matrixes.

Parameters

matrix1	The first Matrix.
matrix2	The second Vector2.
amount	Weighting value(between 0.0 and 1.0).

Returns: >The result of linear interpolation of the specified matrixes.

◆ Lerp() [2/2]

static void Mathf.Matrix.Lerp	(	ref Matrix	matrix1,
		ref Matrix	matrix2,
		float	amount,
		out Matrix	result )

inlinestatic

Creates a new Matrix that contains linear interpolation of the values in specified matrixes.

Parameters

matrix1	The first Matrix.
matrix2	The second Vector2.
amount	Weighting value(between 0.0 and 1.0).
result	The result of linear interpolation of the specified matrixes as an output parameter.

◆ Multiply() [1/4]

static Matrix Mathf.Matrix.Multiply	(	Matrix	matrix1,
		float	scaleFactor )

inlinestatic

Creates a new Matrix that contains a multiplication of Matrix and a scalar.

Parameters

matrix1	Source Matrix.
scaleFactor	Scalar value.

Returns: Result of the matrix multiplication with a scalar.

◆ Multiply() [2/4]

static Matrix Mathf.Matrix.Multiply	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Creates a new Matrix that contains a multiplication of two matrix.

Parameters

matrix1	Source Matrix.
matrix2	Source Matrix.

Returns: Result of the matrix multiplication.

◆ Multiply() [3/4]

static void Mathf.Matrix.Multiply	(	ref Matrix	matrix1,
		float	scaleFactor,
		out Matrix	result )

inlinestatic

Creates a new Matrix that contains a multiplication of Matrix and a scalar.

Parameters

matrix1	Source Matrix.
scaleFactor	Scalar value.
result	Result of the matrix multiplication with a scalar as an output parameter.

◆ Multiply() [4/4]

static void Mathf.Matrix.Multiply	(	ref Matrix	matrix1,
		ref Matrix	matrix2,
		out Matrix	result )

inlinestatic

Creates a new Matrix that contains a multiplication of two matrix.

Parameters

matrix1	Source Matrix.
matrix2	Source Matrix.
result	Result of the matrix multiplication as an output parameter.

◆ Negate() [1/2]

static Matrix Mathf.Matrix.Negate ( Matrix matrix )

inlinestatic

Returns a matrix with the all values negated.

Parameters

matrix Source Matrix.

Returns: Result of the matrix negation.

◆ Negate() [2/2]

static void Mathf.Matrix.Negate	(	ref Matrix	matrix,
		out Matrix	result )

inlinestatic

Returns a matrix with the all values negated.

Parameters

matrix	Source Matrix.
result	Result of the matrix negation as an output parameter.

◆ operator!=()

static bool Mathf.Matrix.operator!=	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Compares whether two Matrix instances are not equal without any tolerance.

Parameters

matrix1	Source Matrix on the left of the not equal sign.
matrix2	Source Matrix on the right of the not equal sign.

Returns: true if the instances are not equal; false otherwise.

◆ operator*() [1/2]

static Matrix Mathf.Matrix.operator*	(	Matrix	matrix,
		float	scaleFactor )

inlinestatic

Multiplies the elements of matrix by a scalar.

Parameters

matrix	Source Matrix on the left of the mul sign.
scaleFactor	Scalar value on the right of the mul sign.

Returns: Result of the matrix multiplication with a scalar.

◆ operator*() [2/2]

static Matrix Mathf.Matrix.operator*	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Multiplies two matrixes.

Parameters

matrix1	Source Matrix on the left of the mul sign.
matrix2	Source Matrix on the right of the mul sign.

Returns: Result of the matrix multiplication.

Using matrix multiplication algorithm - see http://en.wikipedia.org/wiki/Matrix_multiplication.

◆ operator+()

static Matrix Mathf.Matrix.operator+	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Adds two matrixes.

Parameters

matrix1	Source Matrix on the left of the add sign.
matrix2	Source Matrix on the right of the add sign.

Returns: Sum of the matrixes.

◆ operator-() [1/2]

static Matrix Mathf.Matrix.operator- ( Matrix matrix )

inlinestatic

Inverts values in the specified Matrix.

Parameters

matrix Source Matrix on the right of the sub sign.

Returns: Result of the inversion.

◆ operator-() [2/2]

static Matrix Mathf.Matrix.operator-	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Subtracts the values of one Matrix from another Matrix.

Parameters

matrix1	Source Matrix on the left of the sub sign.
matrix2	Source Matrix on the right of the sub sign.

Returns: Result of the matrix subtraction.

◆ operator/() [1/2]

static Matrix Mathf.Matrix.operator/	(	Matrix	matrix,
		float	divider )

inlinestatic

Divides the elements of a Matrix by a scalar.

Parameters

matrix	Source Matrix on the left of the div sign.
divider	Divisor scalar on the right of the div sign.

Returns: The result of dividing a matrix by a scalar.

◆ operator/() [2/2]

static Matrix Mathf.Matrix.operator/	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Divides the elements of a Matrix by the elements of another Matrix.

Parameters

matrix1	Source Matrix on the left of the div sign.
matrix2	Divisor Matrix on the right of the div sign.

Returns: The result of dividing the matrixes.

◆ operator==()

static bool Mathf.Matrix.operator==	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Compares whether two Matrix instances are equal without any tolerance.

Parameters

matrix1	Source Matrix on the left of the equal sign.
matrix2	Source Matrix on the right of the equal sign.

Returns: true if the instances are equal; false otherwise.

◆ Subtract() [1/2]

static Matrix Mathf.Matrix.Subtract	(	Matrix	matrix1,
		Matrix	matrix2 )

inlinestatic

Creates a new Matrix that contains subtraction of one matrix from another.

Parameters

matrix1	The first Matrix.
matrix2	The second Matrix.

Returns: The result of the matrix subtraction.

◆ Subtract() [2/2]

static void Mathf.Matrix.Subtract	(	ref Matrix	matrix1,
		ref Matrix	matrix2,
		out Matrix	result )

inlinestatic

Creates a new Matrix that contains subtraction of one matrix from another.

Parameters

matrix1	The first Matrix.
matrix2	The second Matrix.
result	The result of the matrix subtraction as an output parameter.

◆ ToFloatArray()

static float[] Mathf.Matrix.ToFloatArray ( Matrix matrix )

inlinestatic

Copy the values of specified Matrix to the float array.

Parameters

matrix The source Matrix.

Returns: The array which matrix values will be stored.

Required for OpenGL 2.0 projection matrix stuff.

◆ ToString()

override string Mathf.Matrix.ToString ( )

inline

Returns a String representation of this Matrix in the format: {M11:[M11] M12:[M12] M13:[M13] M14:[M14]} {M21:[M21] M12:[M22] M13:[M23] M14:[M24]} {M31:[M31] M32:[M32] M33:[M33] M34:[M34]} {M41:[M41] M42:[M42] M43:[M43] M44:[M44]}.

Returns: A String representation of this Matrix.

◆ Transpose() [1/2]

static Matrix Mathf.Matrix.Transpose ( Matrix matrix )

inlinestatic

Swap the matrix rows and columns.

Parameters

matrix The matrix for transposing operation.

Returns: The new Matrix which contains the transposing result.

◆ Transpose() [2/2]

static void Mathf.Matrix.Transpose	(	ref Matrix	matrix,
		out Matrix	result )

inlinestatic

Swap the matrix rows and columns.

Parameters

matrix	The matrix for transposing operation.
result	The new Matrix which contains the transposing result as an output parameter.

Member Data Documentation

◆ identity

Matrix Mathf.Matrix.identity

staticprivate

Initial value:

= new Matrix(1f, 0f, 0f, 0f, 
                                                    0f, 1f, 0f, 0f, 
                                                    0f, 0f, 1f, 0f, 
                                                    0f, 0f, 0f, 1f)

◆ M11

float Mathf.Matrix.M11

A first row and first column value.

◆ M12

float Mathf.Matrix.M12

A first row and second column value.

◆ M13

float Mathf.Matrix.M13

A first row and third column value.

◆ M14

float Mathf.Matrix.M14

A first row and fourth column value.

◆ M21

float Mathf.Matrix.M21

A second row and first column value.

◆ M22

float Mathf.Matrix.M22

A second row and second column value.

◆ M23

float Mathf.Matrix.M23

A second row and third column value.

◆ M24

float Mathf.Matrix.M24

A second row and fourth column value.

◆ M31

float Mathf.Matrix.M31

A third row and first column value.

◆ M32

float Mathf.Matrix.M32

A third row and second column value.

◆ M33

float Mathf.Matrix.M33

A third row and third column value.

◆ M34

float Mathf.Matrix.M34

A third row and fourth column value.

◆ M41

float Mathf.Matrix.M41

A fourth row and first column value.

◆ M42

float Mathf.Matrix.M42

A fourth row and second column value.

◆ M43

float Mathf.Matrix.M43

A fourth row and third column value.

◆ M44

float Mathf.Matrix.M44

A fourth row and fourth column value.

Property Documentation

◆ Backward

Vector3 Mathf.Matrix.Backward

getset

The backward vector formed from the third row M31, M32, M33 elements.

◆ DebugDisplayString

string Mathf.Matrix.DebugDisplayString

getpackage

◆ Down

Vector3 Mathf.Matrix.Down

getset

The down vector formed from the second row -M21, -M22, -M23 elements.

◆ Forward

Vector3 Mathf.Matrix.Forward

getset

The forward vector formed from the third row -M31, -M32, -M33 elements.

◆ Identity

Matrix Mathf.Matrix.Identity

staticget

Returns the identity matrix.

◆ Left

Vector3 Mathf.Matrix.Left

getset

The left vector formed from the first row -M11, -M12, -M13 elements.

◆ Right

Vector3 Mathf.Matrix.Right

getset

The right vector formed from the first row M11, M12, M13 elements.

◆ this[int index]

float Mathf.Matrix.this[int index]

getset

◆ this[int row, int column]

float Mathf.Matrix.this[int row, int column]

getset

◆ Translation

Vector3 Mathf.Matrix.Translation

getset

Position stored in this matrix.

◆ Up

Vector3 Mathf.Matrix.Up

getset

The upper vector formed from the second row M21, M22, M23 elements.

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

/github/workspace/code/addons/nsharp/NebulaEngine/xna/Matrix.cs

Detailed Description

Public Member Functions

Static Public Member Functions

Public Attributes

Properties

Static Private Member Functions

Static Private Attributes

Constructor & Destructor Documentation

◆ Matrix() [1/2]

◆ Matrix() [2/2]

Member Function Documentation

◆ Add() [1/2]

◆ Add() [2/2]

◆ CreateBillboard() [1/2]

◆ CreateBillboard() [2/2]

◆ CreateConstrainedBillboard() [1/2]

◆ CreateConstrainedBillboard() [2/2]

◆ CreateFromAxisAngle() [1/2]

◆ CreateFromAxisAngle() [2/2]

◆ CreateFromQuaternion() [1/2]

◆ CreateFromQuaternion() [2/2]

◆ CreateFromYawPitchRoll() [1/2]

◆ CreateFromYawPitchRoll() [2/2]

◆ CreateLookAt() [1/2]

◆ CreateLookAt() [2/2]

◆ CreateOrthographic() [1/2]

◆ CreateOrthographic() [2/2]

◆ CreateOrthographicOffCenter() [1/3]

◆ CreateOrthographicOffCenter() [2/3]

◆ CreateOrthographicOffCenter() [3/3]

◆ CreatePerspective() [1/2]

◆ CreatePerspective() [2/2]

◆ CreatePerspectiveFieldOfView() [1/2]

◆ CreatePerspectiveFieldOfView() [2/2]

◆ CreatePerspectiveOffCenter() [1/3]

◆ CreatePerspectiveOffCenter() [2/3]

◆ CreatePerspectiveOffCenter() [3/3]

◆ CreateReflection() [1/2]

◆ CreateReflection() [2/2]

◆ CreateRotationX() [1/2]

◆ CreateRotationX() [2/2]

◆ CreateRotationY() [1/2]

◆ CreateRotationY() [2/2]

◆ CreateRotationZ() [1/2]

◆ CreateRotationZ() [2/2]

◆ CreateScale() [1/6]

◆ CreateScale() [2/6]

◆ CreateScale() [3/6]

◆ CreateScale() [4/6]

◆ CreateScale() [5/6]

◆ CreateScale() [6/6]

◆ CreateShadow() [1/2]

◆ CreateShadow() [2/2]

◆ CreateTranslation() [1/4]

◆ CreateTranslation() [2/4]

◆ CreateTranslation() [3/4]

◆ CreateTranslation() [4/4]

◆ CreateWorld() [1/2]

◆ CreateWorld() [2/2]

◆ Decompose()

◆ Determinant()

◆ Divide() [1/4]

◆ Divide() [2/4]

◆ Divide() [3/4]

◆ Divide() [4/4]

◆ Equals() [1/2]

◆ Equals() [2/2]

◆ FindDeterminants()

◆ GetHashCode()

◆ Invert() [1/2]

◆ Invert() [2/2]

◆ Lerp() [1/2]

◆ Lerp() [2/2]

◆ Multiply() [1/4]

◆ Multiply() [2/4]

◆ Multiply() [3/4]

◆ Multiply() [4/4]

◆ Negate() [1/2]

◆ Negate() [2/2]

◆ operator!=()