Class MatrixD

Defines a matrix.

Inheritance

System.Object

MatrixD

Namespace: VRageMath

Assembly: VRage.Math.dll

Syntax

public sealed class MatrixD : ValueType, IEquatable<MatrixD>

Constructors

MatrixD(Double, Double, Double, Double, Double, Double, Double, Double, Double)

Initializes a new instance of Matrix with rotation data

Declaration

public MatrixD(double m11, double m12, double m13, double m21, double m22, double m23, double m31, double m32, double m33)

Parameters

Type	Name	Description
System.Double	m11	Value to initialize m11 to.
System.Double	m12	Value to initialize m12 to.
System.Double	m13	Value to initialize m13 to.
System.Double	m21	Value to initialize m21 to.
System.Double	m22	Value to initialize m22 to.
System.Double	m23	Value to initialize m23 to.
System.Double	m31	Value to initialize m31 to.
System.Double	m32	Value to initialize m32 to.
System.Double	m33	Value to initialize m33 to.

MatrixD(Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double)

Initializes a new instance of Matrix.

Declaration

public MatrixD(double m11, double m12, double m13, double m14, double m21, double m22, double m23, double m24, double m31, double m32, double m33, double m34, double m41, double m42, double m43, double m44)

Parameters

Type	Name	Description
System.Double	m11	Value to initialize m11 to.
System.Double	m12	Value to initialize m12 to.
System.Double	m13	Value to initialize m13 to.
System.Double	m14	Value to initialize m14 to.
System.Double	m21	Value to initialize m21 to.
System.Double	m22	Value to initialize m22 to.
System.Double	m23	Value to initialize m23 to.
System.Double	m24	Value to initialize m24 to.
System.Double	m31	Value to initialize m31 to.
System.Double	m32	Value to initialize m32 to.
System.Double	m33	Value to initialize m33 to.
System.Double	m34	Value to initialize m34 to.
System.Double	m41	Value to initialize m41 to.
System.Double	m42	Value to initialize m42 to.
System.Double	m43	Value to initialize m43 to.
System.Double	m44	Value to initialize m44 to.

MatrixD(Matrix)

Declaration

public MatrixD(Matrix m)

Parameters

Type	Name	Description
Matrix	m

Fields

Identity

Declaration

public static MatrixD Identity

Field Value

Type	Description
MatrixD

M11

Value at row 1 column 1 of the matrix.

Declaration

public double M11

Field Value

Type	Description
System.Double

M12

Value at row 1 column 2 of the matrix.

Declaration

public double M12

Field Value

Type	Description
System.Double

M13

Value at row 1 column 3 of the matrix.

Declaration

public double M13

Field Value

Type	Description
System.Double

M14

Value at row 1 column 4 of the matrix.

Declaration

public double M14

Field Value

Type	Description
System.Double

M21

Value at row 2 column 1 of the matrix.

Declaration

public double M21

Field Value

Type	Description
System.Double

M22

Value at row 2 column 2 of the matrix.

Declaration

public double M22

Field Value

Type	Description
System.Double

M23

Value at row 2 column 3 of the matrix.

Declaration

public double M23

Field Value

Type	Description
System.Double

M24

Value at row 2 column 4 of the matrix.

Declaration

public double M24

Field Value

Type	Description
System.Double

M31

Value at row 3 column 1 of the matrix.

Declaration

public double M31

Field Value

Type	Description
System.Double

M32

Value at row 3 column 2 of the matrix.

Declaration

public double M32

Field Value

Type	Description
System.Double

M33

Value at row 3 column 3 of the matrix.

Declaration

public double M33

Field Value

Type	Description
System.Double

M34

Value at row 3 column 4 of the matrix.

Declaration

public double M34

Field Value

Type	Description
System.Double

M41

Value at row 4 column 1 of the matrix.

Declaration

public double M41

Field Value

Type	Description
System.Double

M42

Value at row 4 column 2 of the matrix.

Declaration

public double M42

Field Value

Type	Description
System.Double

M43

Value at row 4 column 3 of the matrix.

Declaration

public double M43

Field Value

Type	Description
System.Double

M44

Value at row 4 column 4 of the matrix.

Declaration

public double M44

Field Value

Type	Description
System.Double

Zero

Declaration

public static MatrixD Zero

Field Value

Type	Description
MatrixD

Properties

Backward

Gets and sets the backward vector of the Matrix.

Declaration

public Vector3D Backward { get; set; }

Property Value

Type	Description
Vector3D

Col0

Declaration

public Vector3D Col0 { get; }

Property Value

Type	Description
Vector3D

Col1

Declaration

public Vector3D Col1 { get; }

Property Value

Type	Description
Vector3D

Col2

Declaration

public Vector3D Col2 { get; }

Property Value

Type	Description
Vector3D

Down

Gets and sets the down vector of the Matrix.

Declaration

public Vector3D Down { get; set; }

Property Value

Type	Description
Vector3D

Forward

Gets and sets the forward vector of the Matrix.

Declaration

public Vector3D Forward { get; set; }

Property Value

Type	Description
Vector3D

Item[Int32, Int32]

Declaration

public double this[int row, int column] { get; set; }

Parameters

Type	Name	Description
System.Int32	row
System.Int32	column

Property Value

Type	Description
System.Double

Left

Gets and sets the left vector of the Matrix.

Declaration

public Vector3D Left { get; set; }

Property Value

Type	Description
Vector3D

Right

Gets and sets the right vector of the Matrix.

Declaration

public Vector3D Right { get; set; }

Property Value

Type	Description
Vector3D

Rotation

Declaration

public Matrix3x3 Rotation { get; }

Property Value

Type	Description
Matrix3x3

Scale

Declaration

public Vector3D Scale { get; }

Property Value

Type	Description
Vector3D

Translation

Gets and sets the translation vector of the Matrix.

Declaration

public Vector3D Translation { get; set; }

Property Value

Type	Description
Vector3D

Up

Gets and sets the up vector of the Matrix.

Declaration

public Vector3D Up { get; set; }

Property Value

Type	Description
Vector3D

Methods

Add(MatrixD, MatrixD)

Adds a matrix to another matrix.

Declaration

public static MatrixD Add(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.

Returns

Type	Description
MatrixD

Add(ref MatrixD, ref MatrixD, out MatrixD)

Adds a matrix to another matrix.

Declaration

public static void Add(ref MatrixD matrix1, ref MatrixD matrix2, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.
MatrixD	result	[OutAttribute] Resulting matrix.

AlignRotationToAxes(ref MatrixD, ref MatrixD)

Declaration

public static MatrixD AlignRotationToAxes(ref MatrixD toAlign, ref MatrixD axisDefinitionMatrix)

Parameters

Type	Name	Description
MatrixD	toAlign
MatrixD	axisDefinitionMatrix

Returns

Type	Description
MatrixD

AssertIsValid(String)

Declaration

public void AssertIsValid(string message = null)

Parameters

Type	Name	Description
System.String	message

CreateBillboard(Vector3D, Vector3D, Vector3D, Nullable<Vector3D>)

Creates a spherical billboard that rotates around a specified object position.

Declaration

public static MatrixD CreateBillboard(Vector3D objectPosition, Vector3D cameraPosition, Vector3D cameraUpVector, Nullable<Vector3D> cameraForwardVector)

Parameters

Type	Name	Description
Vector3D	objectPosition	Position of the object the billboard will rotate around.
Vector3D	cameraPosition	Position of the camera.
Vector3D	cameraUpVector	The up vector of the camera.
System.Nullable<Vector3D>	cameraForwardVector	Optional forward vector of the camera.

Returns

Type	Description
MatrixD

CreateBillboard(ref Vector3D, ref Vector3D, ref Vector3D, Nullable<Vector3D>, out MatrixD)

Creates a spherical billboard that rotates around a specified object position.

Declaration

public static void CreateBillboard(ref Vector3D objectPosition, ref Vector3D cameraPosition, ref Vector3D cameraUpVector, Nullable<Vector3D> cameraForwardVector, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	objectPosition	Position of the object the billboard will rotate around.
Vector3D	cameraPosition	Position of the camera.
Vector3D	cameraUpVector	The up vector of the camera.
System.Nullable<Vector3D>	cameraForwardVector	Optional forward vector of the camera.
MatrixD	result	[OutAttribute] The created billboard matrix.

CreateConstrainedBillboard(Vector3D, Vector3D, Vector3D, Nullable<Vector3D>, Nullable<Vector3D>)

Creates a cylindrical billboard that rotates around a specified axis.

Declaration

public static MatrixD CreateConstrainedBillboard(Vector3D objectPosition, Vector3D cameraPosition, Vector3D rotateAxis, Nullable<Vector3D> cameraForwardVector, Nullable<Vector3D> objectForwardVector)

Parameters

Type	Name	Description
Vector3D	objectPosition	Position of the object the billboard will rotate around.
Vector3D	cameraPosition	Position of the camera.
Vector3D	rotateAxis	Axis to rotate the billboard around.
System.Nullable<Vector3D>	cameraForwardVector	Optional forward vector of the camera.
System.Nullable<Vector3D>	objectForwardVector	Optional forward vector of the object.

Returns

Type	Description
MatrixD

CreateConstrainedBillboard(ref Vector3D, ref Vector3D, ref Vector3D, Nullable<Vector3D>, Nullable<Vector3D>, out MatrixD)

Creates a cylindrical billboard that rotates around a specified axis.

Declaration

public static void CreateConstrainedBillboard(ref Vector3D objectPosition, ref Vector3D cameraPosition, ref Vector3D rotateAxis, Nullable<Vector3D> cameraForwardVector, Nullable<Vector3D> objectForwardVector, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	objectPosition	Position of the object the billboard will rotate around.
Vector3D	cameraPosition	Position of the camera.
Vector3D	rotateAxis	Axis to rotate the billboard around.
System.Nullable<Vector3D>	cameraForwardVector	Optional forward vector of the camera.
System.Nullable<Vector3D>	objectForwardVector	Optional forward vector of the object.
MatrixD	result	[OutAttribute] The created billboard matrix.

CreateFromAxisAngle(Vector3D, Double)

Creates a new Matrix that rotates around an arbitrary vector.

Declaration

public static MatrixD CreateFromAxisAngle(Vector3D axis, double angle)

Parameters

Type	Name	Description
Vector3D	axis	The axis to rotate around.
System.Double	angle	The angle to rotate around the vector.

Returns

Type	Description
MatrixD

CreateFromAxisAngle(ref Vector3D, Double, out MatrixD)

Creates a new Matrix that rotates around an arbitrary vector.

Declaration

public static void CreateFromAxisAngle(ref Vector3D axis, double angle, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	axis	The axis to rotate around.
System.Double	angle	The angle to rotate around the vector.
MatrixD	result	[OutAttribute] The created Matrix.

CreateFromDir(Vector3D)

Declaration

public static MatrixD CreateFromDir(Vector3D dir)

Parameters

Type	Name	Description
Vector3D	dir

Returns

Type	Description
MatrixD

CreateFromDir(Vector3D, Vector3D)

Declaration

public static MatrixD CreateFromDir(Vector3D dir, Vector3D suggestedUp)

Parameters

Type	Name	Description
Vector3D	dir
Vector3D	suggestedUp

Returns

Type	Description
MatrixD

CreateFromQuaternion(Quaternion)

Creates a rotation Matrix from a Quaternion.

Declaration

public static MatrixD CreateFromQuaternion(Quaternion quaternion)

Parameters

Type	Name	Description
Quaternion	quaternion	Quaternion to create the Matrix from.

Returns

Type	Description
MatrixD

CreateFromQuaternion(ref Quaternion, out MatrixD)

Creates a rotation Matrix from a Quaternion.

Declaration

public static void CreateFromQuaternion(ref Quaternion quaternion, out MatrixD result)

Parameters

Type	Name	Description
Quaternion	quaternion	Quaternion to create the Matrix from.
MatrixD	result	[OutAttribute] The created Matrix.

CreateFromQuaternion(QuaternionD)

Declaration

public static MatrixD CreateFromQuaternion(QuaternionD quaternion)

Parameters

Type	Name	Description
QuaternionD	quaternion

Returns

Type	Description
MatrixD

CreateFromTransformScale(Quaternion, Vector3D, Vector3D)

Declaration

public static MatrixD CreateFromTransformScale(Quaternion orientation, Vector3D position, Vector3D scale)

Parameters

Type	Name	Description
Quaternion	orientation
Vector3D	position
Vector3D	scale

Returns

Type	Description
MatrixD

CreateFromYawPitchRoll(Double, Double, Double)

Creates a new rotation matrix from a specified yaw, pitch, and roll.

Declaration

public static MatrixD CreateFromYawPitchRoll(double yaw, double pitch, double roll)

Parameters

Type	Name	Description
System.Double	yaw	Angle of rotation, in radians, around the y-axis.
System.Double	pitch	Angle of rotation, in radians, around the x-axis.
System.Double	roll	Angle of rotation, in radians, around the z-axis.

Returns

Type	Description
MatrixD

CreateFromYawPitchRoll(Double, Double, Double, out MatrixD)

Fills in a rotation matrix from a specified yaw, pitch, and roll.

Declaration

public static void CreateFromYawPitchRoll(double yaw, double pitch, double roll, out MatrixD result)

Parameters

Type	Name	Description
System.Double	yaw	Angle of rotation, in radians, around the y-axis.
System.Double	pitch	Angle of rotation, in radians, around the x-axis.
System.Double	roll	Angle of rotation, in radians, around the z-axis.
MatrixD	result	[OutAttribute] An existing matrix filled in to represent the specified yaw, pitch, and roll.

CreateLookAt(Vector3D, Vector3D, Vector3)

Declaration

public static MatrixD CreateLookAt(Vector3D cameraPosition, Vector3D cameraTarget, Vector3 cameraUpVector)

Parameters

Type	Name	Description
Vector3D	cameraPosition
Vector3D	cameraTarget
Vector3	cameraUpVector

Returns

Type	Description
MatrixD

CreateLookAt(Vector3D, Vector3D, Vector3D)

Creates a view matrix.

Declaration

public static MatrixD CreateLookAt(Vector3D cameraPosition, Vector3D cameraTarget, Vector3D cameraUpVector)

Parameters

Type	Name	Description
Vector3D	cameraPosition	The position of the camera.
Vector3D	cameraTarget	The target towards which the camera is pointing.
Vector3D	cameraUpVector	The direction that is "up" from the camera's point of view.

Returns

Type	Description
MatrixD

CreateLookAt(ref Vector3D, ref Vector3D, ref Vector3D, out MatrixD)

Creates a view matrix.

Declaration

public static void CreateLookAt(ref Vector3D cameraPosition, ref Vector3D cameraTarget, ref Vector3D cameraUpVector, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	cameraPosition	The position of the camera.
Vector3D	cameraTarget	The target towards which the camera is pointing.
Vector3D	cameraUpVector	The direction that is "up" from the camera's point of view.
MatrixD	result	[OutAttribute] The created view matrix.

CreateLookAtInverse(Vector3D, Vector3D, Vector3D)

Declaration

public static MatrixD CreateLookAtInverse(Vector3D cameraPosition, Vector3D cameraTarget, Vector3D cameraUpVector)

Parameters

Type	Name	Description
Vector3D	cameraPosition
Vector3D	cameraTarget
Vector3D	cameraUpVector

Returns

Type	Description
MatrixD

CreateOrthographic(Double, Double, Double, Double)

Builds an orthogonal projection matrix.

Declaration

public static MatrixD CreateOrthographic(double width, double height, double zNearPlane, double zFarPlane)

Parameters

Type	Name	Description
System.Double	width	Width of the view volume.
System.Double	height	Height of the view volume.
System.Double	zNearPlane	Minimum z-value of the view volume.
System.Double	zFarPlane	Maximum z-value of the view volume.

Returns

Type	Description
MatrixD

CreateOrthographic(Double, Double, Double, Double, out MatrixD)

Builds an orthogonal projection matrix.

Declaration

public static void CreateOrthographic(double width, double height, double zNearPlane, double zFarPlane, out MatrixD result)

Parameters

Type	Name	Description
System.Double	width	Width of the view volume.
System.Double	height	Height of the view volume.
System.Double	zNearPlane	Minimum z-value of the view volume.
System.Double	zFarPlane	Maximum z-value of the view volume.
MatrixD	result	[OutAttribute] The projection matrix.

CreateOrthographicOffCenter(Double, Double, Double, Double, Double, Double)

Builds a customized, orthogonal projection matrix.

Declaration

public static MatrixD CreateOrthographicOffCenter(double left, double right, double bottom, double top, double zNearPlane, double zFarPlane)

Parameters

Type	Name	Description
System.Double	left	Minimum x-value of the view volume.
System.Double	right	Maximum x-value of the view volume.
System.Double	bottom	Minimum y-value of the view volume.
System.Double	top	Maximum y-value of the view volume.
System.Double	zNearPlane	Minimum z-value of the view volume.
System.Double	zFarPlane	Maximum z-value of the view volume.

Returns

Type	Description
MatrixD

CreateOrthographicOffCenter(Double, Double, Double, Double, Double, Double, out MatrixD)

Builds a customized, orthogonal projection matrix.

Declaration

public static void CreateOrthographicOffCenter(double left, double right, double bottom, double top, double zNearPlane, double zFarPlane, out MatrixD result)

Parameters

Type	Name	Description
System.Double	left	Minimum x-value of the view volume.
System.Double	right	Maximum x-value of the view volume.
System.Double	bottom	Minimum y-value of the view volume.
System.Double	top	Maximum y-value of the view volume.
System.Double	zNearPlane	Minimum z-value of the view volume.
System.Double	zFarPlane	Maximum z-value of the view volume.
MatrixD	result	[OutAttribute] The projection matrix.

CreatePerspective(Double, Double, Double, Double)

Builds a perspective projection matrix and returns the result by value.

Declaration

public static MatrixD CreatePerspective(double width, double height, double nearPlaneDistance, double farPlaneDistance)

Parameters

Type	Name	Description
System.Double	width	Width of the view volume at the near view plane.
System.Double	height	Height of the view volume at the near view plane.
System.Double	nearPlaneDistance	Distance to the near view plane.
System.Double	farPlaneDistance	Distance to the far view plane.

Returns

Type	Description
MatrixD

CreatePerspective(Double, Double, Double, Double, out MatrixD)

Builds a perspective projection matrix and returns the result by reference.

Declaration

public static void CreatePerspective(double width, double height, double nearPlaneDistance, double farPlaneDistance, out MatrixD result)

Parameters

Type	Name	Description
System.Double	width	Width of the view volume at the near view plane.
System.Double	height	Height of the view volume at the near view plane.
System.Double	nearPlaneDistance	Distance to the near view plane.
System.Double	farPlaneDistance	Distance to the far view plane.
MatrixD	result	[OutAttribute] The projection matrix.

CreatePerspectiveFieldOfView(Double, Double, Double, Double)

Builds a perspective projection matrix based on a field of view and returns by value.

Declaration

public static MatrixD CreatePerspectiveFieldOfView(double fieldOfView, double aspectRatio, double nearPlaneDistance, double farPlaneDistance)

Parameters

Type	Name	Description
System.Double	fieldOfView	Field of view in the y direction, in radians.
System.Double	aspectRatio	Aspect ratio, defined as view space width divided by height. To match the aspect ratio of the viewport, the property AspectRatio.
System.Double	nearPlaneDistance	Distance to the near view plane.
System.Double	farPlaneDistance	Distance to the far view plane.

Returns

Type	Description
MatrixD

CreatePerspectiveFieldOfView(Double, Double, Double, Double, out MatrixD)

Builds a perspective projection matrix based on a field of view and returns by reference.

Declaration

public static void CreatePerspectiveFieldOfView(double fieldOfView, double aspectRatio, double nearPlaneDistance, double farPlaneDistance, out MatrixD result)

Parameters

Type	Name	Description
System.Double	fieldOfView	Field of view in the y direction, in radians.
System.Double	aspectRatio	Aspect ratio, defined as view space width divided by height. To match the aspect ratio of the viewport, the property AspectRatio.
System.Double	nearPlaneDistance	Distance to the near view plane.
System.Double	farPlaneDistance	Distance to the far view plane.
MatrixD	result	[OutAttribute] The perspective projection matrix.

CreatePerspectiveOffCenter(Double, Double, Double, Double, Double, Double)

Builds a customized, perspective projection matrix.

Declaration

public static MatrixD CreatePerspectiveOffCenter(double left, double right, double bottom, double top, double nearPlaneDistance, double farPlaneDistance)

Parameters

Type	Name	Description
System.Double	left	Minimum x-value of the view volume at the near view plane.
System.Double	right	Maximum x-value of the view volume at the near view plane.
System.Double	bottom	Minimum y-value of the view volume at the near view plane.
System.Double	top	Maximum y-value of the view volume at the near view plane.
System.Double	nearPlaneDistance	Distance to the near view plane.
System.Double	farPlaneDistance	Distance to of the far view plane.

Returns

Type	Description
MatrixD

CreatePerspectiveOffCenter(Double, Double, Double, Double, Double, Double, out MatrixD)

Builds a customized, perspective projection matrix.

Declaration

public static void CreatePerspectiveOffCenter(double left, double right, double bottom, double top, double nearPlaneDistance, double farPlaneDistance, out MatrixD result)

Parameters

Type	Name	Description
System.Double	left	Minimum x-value of the view volume at the near view plane.
System.Double	right	Maximum x-value of the view volume at the near view plane.
System.Double	bottom	Minimum y-value of the view volume at the near view plane.
System.Double	top	Maximum y-value of the view volume at the near view plane.
System.Double	nearPlaneDistance	Distance to the near view plane.
System.Double	farPlaneDistance	Distance to of the far view plane.
MatrixD	result	[OutAttribute] The created projection matrix.

CreateReflection(Plane)

Creates a Matrix that reflects the coordinate system about a specified Plane.

Declaration

public static MatrixD CreateReflection(Plane value)

Parameters

Type	Name	Description
Plane	value	The Plane about which to create a reflection.

Returns

Type	Description
MatrixD

CreateReflection(ref Plane, out MatrixD)

Fills in an existing Matrix so that it reflects the coordinate system about a specified Plane.

Declaration

public static void CreateReflection(ref Plane value, out MatrixD result)

Parameters

Type	Name	Description
Plane	value	The Plane about which to create a reflection.
MatrixD	result	[OutAttribute] A Matrix that creates the reflection.

CreateRotationX(Double)

Returns a matrix that can be used to rotate a set of vertices around the x-axis.

Declaration

public static MatrixD CreateRotationX(double radians)

Parameters

Type	Name	Description
System.Double	radians	The amount, in radians, in which to rotate around the x-axis. Note that you can use ToRadians to convert degrees to radians.

Returns

Type	Description
MatrixD

CreateRotationX(Double, out MatrixD)

Populates data into a user-specified matrix that can be used to rotate a set of vertices around the x-axis.

Declaration

public static void CreateRotationX(double radians, out MatrixD result)

Parameters

Type	Name	Description
System.Double	radians	The amount, in radians, in which to rotate around the x-axis. Note that you can use ToRadians to convert degrees to radians.
MatrixD	result	[OutAttribute] The matrix in which to place the calculated data.

CreateRotationY(Double)

Returns a matrix that can be used to rotate a set of vertices around the y-axis.

Declaration

public static MatrixD CreateRotationY(double radians)

Parameters

Type	Name	Description
System.Double	radians	The amount, in radians, in which to rotate around the y-axis. Note that you can use ToRadians to convert degrees to radians.

Returns

Type	Description
MatrixD

CreateRotationY(Double, out MatrixD)

Populates data into a user-specified matrix that can be used to rotate a set of vertices around the y-axis.

Declaration

public static void CreateRotationY(double radians, out MatrixD result)

Parameters

Type	Name	Description
System.Double	radians	The amount, in radians, in which to rotate around the y-axis. Note that you can use ToRadians to convert degrees to radians.
MatrixD	result	[OutAttribute] The matrix in which to place the calculated data.

CreateRotationZ(Double)

Returns a matrix that can be used to rotate a set of vertices around the z-axis.

Declaration

public static MatrixD CreateRotationZ(double radians)

Parameters

Type	Name	Description
System.Double	radians	The amount, in radians, in which to rotate around the z-axis. Note that you can use ToRadians to convert degrees to radians.

Returns

Type	Description
MatrixD

CreateRotationZ(Double, out MatrixD)

Populates data into a user-specified matrix that can be used to rotate a set of vertices around the z-axis.

Declaration

public static void CreateRotationZ(double radians, out MatrixD result)

Parameters

Type	Name	Description
System.Double	radians	The amount, in radians, in which to rotate around the z-axis. Note that you can use ToRadians to convert degrees to radians.
MatrixD	result	[OutAttribute] The rotation matrix.

CreateScale(Double)

Creates a scaling Matrix.

Declaration

public static MatrixD CreateScale(double scale)

Parameters

Type	Name	Description
System.Double	scale	Amount to scale by.

Returns

Type	Description
MatrixD

CreateScale(Double, Double, Double)

Creates a scaling Matrix.

Declaration

public static MatrixD CreateScale(double xScale, double yScale, double zScale)

Parameters

Type	Name	Description
System.Double	xScale	Value to scale by on the x-axis.
System.Double	yScale	Value to scale by on the y-axis.
System.Double	zScale	Value to scale by on the z-axis.

Returns

Type	Description
MatrixD

CreateScale(Double, Double, Double, out MatrixD)

Creates a scaling Matrix.

Declaration

public static void CreateScale(double xScale, double yScale, double zScale, out MatrixD result)

Parameters

Type	Name	Description
System.Double	xScale	Value to scale by on the x-axis.
System.Double	yScale	Value to scale by on the y-axis.
System.Double	zScale	Value to scale by on the z-axis.
MatrixD	result	[OutAttribute] The created scaling Matrix.

CreateScale(Double, out MatrixD)

Creates a scaling Matrix.

Declaration

public static void CreateScale(double scale, out MatrixD result)

Parameters

Type	Name	Description
System.Double	scale	Value to scale by.
MatrixD	result	[OutAttribute] The created scaling Matrix.

CreateScale(Vector3D)

Creates a scaling Matrix.

Declaration

public static MatrixD CreateScale(Vector3D scales)

Parameters

Type	Name	Description
Vector3D	scales	Amounts to scale by on the x, y, and z axes.

Returns

Type	Description
MatrixD

CreateScale(ref Vector3D, out MatrixD)

Creates a scaling Matrix.

Declaration

public static void CreateScale(ref Vector3D scales, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	scales	Amounts to scale by on the x, y, and z axes.
MatrixD	result	[OutAttribute] The created scaling Matrix.

CreateShadow(Vector3D, Plane)

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

Declaration

public static MatrixD CreateShadow(Vector3D lightDirection, Plane plane)

Parameters

Type	Name	Description
Vector3D	lightDirection	A Vector3 specifying the direction from which the light that will cast the shadow is coming.
Plane	plane	The Plane onto which the new matrix should flatten geometry so as to cast a shadow.

Returns

Type	Description
MatrixD

CreateShadow(ref Vector3D, ref Plane, out MatrixD)

Fills in a Matrix to flatten geometry into a specified Plane as if casting a shadow from a specified light source.

Declaration

public static void CreateShadow(ref Vector3D lightDirection, ref Plane plane, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	lightDirection	A Vector3 specifying the direction from which the light that will cast the shadow is coming.
Plane	plane	The Plane onto which the new matrix should flatten geometry so as to cast a shadow.
MatrixD	result	[OutAttribute] A Matrix that can be used to flatten geometry onto the specified plane from the specified direction.

CreateTranslation(Double, Double, Double)

Creates a translation Matrix.

Declaration

public static MatrixD CreateTranslation(double xPosition, double yPosition, double zPosition)

Parameters

Type	Name	Description
System.Double	xPosition	Value to translate by on the x-axis.
System.Double	yPosition	Value to translate by on the y-axis.
System.Double	zPosition	Value to translate by on the z-axis.

Returns

Type	Description
MatrixD

CreateTranslation(Double, Double, Double, out MatrixD)

Creates a translation Matrix.

Declaration

public static void CreateTranslation(double xPosition, double yPosition, double zPosition, out MatrixD result)

Parameters

Type	Name	Description
System.Double	xPosition	Value to translate by on the x-axis.
System.Double	yPosition	Value to translate by on the y-axis.
System.Double	zPosition	Value to translate by on the z-axis.
MatrixD	result	[OutAttribute] The created translation Matrix.

CreateTranslation(Vector3)

Declaration

public static MatrixD CreateTranslation(Vector3 position)

Parameters

Type	Name	Description
Vector3	position

Returns

Type	Description
MatrixD

CreateTranslation(Vector3D)

Creates a translation Matrix.

Declaration

public static MatrixD CreateTranslation(Vector3D position)

Parameters

Type	Name	Description
Vector3D	position	Amounts to translate by on the x, y, and z axes.

Returns

Type	Description
MatrixD

CreateTranslation(ref Vector3D, out MatrixD)

Creates a translation Matrix.

Declaration

public static void CreateTranslation(ref Vector3D position, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	position	Amounts to translate by on the x, y, and z axes.
MatrixD	result	[OutAttribute] The created translation Matrix.

CreateWorld(Vector3D)

Declaration

public static MatrixD CreateWorld(Vector3D position)

Parameters

Type	Name	Description
Vector3D	position

Returns

Type	Description
MatrixD

CreateWorld(Vector3D, Vector3, Vector3)

Declaration

public static MatrixD CreateWorld(Vector3D position, Vector3 forward, Vector3 up)

Parameters

Type	Name	Description
Vector3D	position
Vector3	forward
Vector3	up

Returns

Type	Description
MatrixD

CreateWorld(Vector3D, Vector3D, Vector3D)

Creates a world matrix with the specified parameters.

Declaration

public static MatrixD CreateWorld(Vector3D position, Vector3D forward, Vector3D up)

Parameters

Type	Name	Description
Vector3D	position	Position of the object. This value is used in translation operations.
Vector3D	forward	Forward direction of the object.
Vector3D	up	Upward direction of the object; usually [0, 1, 0].

Returns

Type	Description
MatrixD

CreateWorld(ref Vector3D, ref Vector3D, ref Vector3D, out MatrixD)

Creates a world matrix with the specified parameters.

Declaration

public static void CreateWorld(ref Vector3D position, ref Vector3D forward, ref Vector3D up, out MatrixD result)

Parameters

Type	Name	Description
Vector3D	position	Position of the object. This value is used in translation operations.
Vector3D	forward	Forward direction of the object.
Vector3D	up	Upward direction of the object; usually [0, 1, 0].
MatrixD	result	[OutAttribute] The created world matrix.

Determinant()

Calculates the determinant of the matrix.

Declaration

public double Determinant()

Returns

Type	Description
System.Double

Divide(MatrixD, Double)

Divides the components of a matrix by a scalar.

Declaration

public static MatrixD Divide(MatrixD matrix1, double divider)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
System.Double	divider	The divisor.

Returns

Type	Description
MatrixD

Divide(MatrixD, MatrixD)

Divides the components of a matrix by the corresponding components of another matrix.

Declaration

public static MatrixD Divide(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	The divisor.

Returns

Type	Description
MatrixD

Divide(ref MatrixD, Double, out MatrixD)

Divides the components of a matrix by a scalar.

Declaration

public static void Divide(ref MatrixD matrix1, double divider, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
System.Double	divider	The divisor.
MatrixD	result	[OutAttribute] Result of the division.

Divide(ref MatrixD, ref MatrixD, out MatrixD)

Divides the components of a matrix by the corresponding components of another matrix.

Declaration

public static void Divide(ref MatrixD matrix1, ref MatrixD matrix2, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	The divisor.
MatrixD	result	[OutAttribute] Result of the division.

Equals(Object)

Returns a value that indicates whether the current instance is equal to a specified object.

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
System.Object	obj	Object with which to make the comparison.

Returns

Type	Description
System.Boolean

Equals(MatrixD)

Determines whether the specified Object is equal to the Matrix.

Declaration

public bool Equals(MatrixD other)

Parameters

Type	Name	Description
MatrixD	other	The Object to compare with the current Matrix.

Returns

Type	Description
System.Boolean

EqualsFast(ref MatrixD, Double)

Compares just position, forward and up

Declaration

public bool EqualsFast(ref MatrixD other, double epsilon = 0.0001)

Parameters

Type	Name	Description
MatrixD	other
System.Double	epsilon

Returns

Type	Description
System.Boolean

GetClosestDirection(Vector3D)

Declaration

public Base6Directions.Direction GetClosestDirection(Vector3D referenceVector)

Parameters

Type	Name	Description
Vector3D	referenceVector

Returns

Type	Description
Base6Directions.Direction

GetClosestDirection(ref Vector3D)

Declaration

public Base6Directions.Direction GetClosestDirection(ref Vector3D referenceVector)

Parameters

Type	Name	Description
Vector3D	referenceVector

Returns

Type	Description
Base6Directions.Direction

GetDirectionVector(Base6Directions.Direction)

Gets the base vector of the matrix, corresponding to the given direction

Declaration

public Vector3D GetDirectionVector(Base6Directions.Direction direction)

Parameters

Type	Name	Description
Base6Directions.Direction	direction

Returns

Type	Description
Vector3D

GetEulerAnglesXYZ(ref MatrixD, out Vector3D)

Declaration

public static bool GetEulerAnglesXYZ(ref MatrixD mat, out Vector3D xyz)

Parameters

Type	Name	Description
MatrixD	mat
Vector3D	xyz

Returns

Type	Description
System.Boolean

GetHashCode()

Gets the hash code of this object.

Declaration

public override int GetHashCode()

Returns

Type	Description
System.Int32

GetOrientation()

Gets the orientation.

Declaration

public MatrixD GetOrientation()

Returns

Type	Description
MatrixD

GetRow(Int32)

Declaration

public Vector4D GetRow(int row)

Parameters

Type	Name	Description
System.Int32	row

Returns

Type	Description
Vector4D

HasNoTranslationOrPerspective()

Returns true if this matrix represents invertible (you can call Invert on it) linear (it does not contain translation or perspective transformation) transformation. Such matrix consist solely of rotations, shearing, mirroring and scaling. It can be orthogonalized to create an orthogonal rotation matrix.

Declaration

public bool HasNoTranslationOrPerspective()

Returns

Type	Description
System.Boolean

Invert(MatrixD)

Calculates the inverse of a matrix.

Declaration

public static MatrixD Invert(MatrixD matrix)

Parameters

Type	Name	Description
MatrixD	matrix	Source matrix.

Returns

Type	Description
MatrixD

Invert(ref MatrixD)

Declaration

public static MatrixD Invert(ref MatrixD matrix)

Parameters

Type	Name	Description
MatrixD	matrix

Returns

Type	Description
MatrixD

Invert(ref MatrixD, out MatrixD)

Calculates the inverse of a matrix.

Declaration

public static void Invert(ref MatrixD matrix, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix	The source matrix.
MatrixD	result	[OutAttribute] The inverse of matrix. The same matrix can be used for both arguments.

IsMirrored()

Declaration

public bool IsMirrored()

Returns

Type	Description
System.Boolean

IsNan()

Declaration

public bool IsNan()

Returns

Type	Description
System.Boolean

IsOrthogonal()

Declaration

public bool IsOrthogonal()

Returns

Type	Description
System.Boolean

IsOrthogonal(Double)

Declaration

public bool IsOrthogonal(double epsilon)

Parameters

Type	Name	Description
System.Double	epsilon

Returns

Type	Description
System.Boolean

IsRotation()

Declaration

public bool IsRotation()

Returns

Type	Description
System.Boolean

IsValid()

Declaration

public bool IsValid()

Returns

Type	Description
System.Boolean

Lerp(MatrixD, MatrixD, Double)

Linearly interpolates between the corresponding values of two matrices.

Declaration

public static MatrixD Lerp(MatrixD matrix1, MatrixD matrix2, double amount)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.
System.Double	amount	Interpolation value.

Returns

Type	Description
MatrixD

Lerp(ref MatrixD, ref MatrixD, Double, out MatrixD)

Linearly interpolates between the corresponding values of two matrices.

Declaration

public static void Lerp(ref MatrixD matrix1, ref MatrixD matrix2, double amount, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.
System.Double	amount	Interpolation value.
MatrixD	result	[OutAttribute] Resulting matrix.

Multiply(ref Matrix, ref MatrixD, out MatrixD)

Declaration

public static void Multiply(ref Matrix matrix1, ref MatrixD matrix2, out MatrixD result)

Parameters

Type	Name	Description
Matrix	matrix1
MatrixD	matrix2
MatrixD	result

Multiply(MatrixD, Double)

Multiplies a matrix by a scalar value.

Declaration

public static MatrixD Multiply(MatrixD matrix1, double scaleFactor)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
System.Double	scaleFactor	Scalar value.

Returns

Type	Description
MatrixD

Multiply(MatrixD, Matrix)

Multiplies a matrix by another matrix.

Declaration

public static MatrixD Multiply(MatrixD matrix1, Matrix matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
Matrix	matrix2	Source matrix.

Returns

Type	Description
MatrixD

Multiply(MatrixD, MatrixD)

Multiplies a matrix by another matrix.

Declaration

public static MatrixD Multiply(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.

Returns

Type	Description
MatrixD

Multiply(ref MatrixD, Double, out MatrixD)

Multiplies a matrix by a scalar value.

Declaration

public static void Multiply(ref MatrixD matrix1, double scaleFactor, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
System.Double	scaleFactor	Scalar value.
MatrixD	result	[OutAttribute] The result of the multiplication.

Multiply(ref MatrixD, ref Matrix, out MatrixD)

Multiplies a matrix by another matrix.

Declaration

public static void Multiply(ref MatrixD matrix1, ref Matrix matrix2, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
Matrix	matrix2	Source matrix.
MatrixD	result	[OutAttribute] Result of the multiplication.

Multiply(ref MatrixD, ref MatrixD, out MatrixD)

Multiplies a matrix by another matrix.

Declaration

public static void Multiply(ref MatrixD matrix1, ref MatrixD matrix2, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.
MatrixD	result	[OutAttribute] Result of the multiplication.

Negate(MatrixD)

Negates individual elements of a matrix.

Declaration

public static MatrixD Negate(MatrixD matrix)

Parameters

Type	Name	Description
MatrixD	matrix	Source matrix.

Returns

Type	Description
MatrixD

Negate(ref MatrixD, out MatrixD)

Negates individual elements of a matrix.

Declaration

public static void Negate(ref MatrixD matrix, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix	Source matrix.
MatrixD	result	[OutAttribute] Negated matrix.

Normalize(MatrixD)

Declaration

public static MatrixD Normalize(MatrixD matrix)

Parameters

Type	Name	Description
MatrixD	matrix

Returns

Type	Description
MatrixD

Orthogonalize()

Declaration

public void Orthogonalize()

Orthogonalize(MatrixD)

Declaration

public static MatrixD Orthogonalize(MatrixD rotationMatrix)

Parameters

Type	Name	Description
MatrixD	rotationMatrix

Returns

Type	Description
MatrixD

Rescale(MatrixD, Double)

Declaration

public static MatrixD Rescale(MatrixD matrix, double scale)

Parameters

Type	Name	Description
MatrixD	matrix
System.Double	scale

Returns

Type	Description
MatrixD

Rescale(MatrixD, Vector3D)

Declaration

public static MatrixD Rescale(MatrixD matrix, Vector3D scale)

Parameters

Type	Name	Description
MatrixD	matrix
Vector3D	scale

Returns

Type	Description
MatrixD

Rescale(ref MatrixD, Double)

Same result as Matrix.CreateScale(scale) * matrix, but much faster

Declaration

public static void Rescale(ref MatrixD matrix, double scale)

Parameters

Type	Name	Description
MatrixD	matrix
System.Double	scale

Rescale(ref MatrixD, Single)

Same result as Matrix.CreateScale(scale) * matrix, but much faster

Declaration

public static void Rescale(ref MatrixD matrix, float scale)

Parameters

Type	Name	Description
MatrixD	matrix
System.Single	scale

Rescale(ref MatrixD, ref Vector3D)

Same result as Matrix.CreateScale(scale) * matrix, but much faster

Declaration

public static void Rescale(ref MatrixD matrix, ref Vector3D scale)

Parameters

Type	Name	Description
MatrixD	matrix
Vector3D	scale

SetDirectionVector(Base6Directions.Direction, Vector3D)

Sets the base vector of the matrix, corresponding to the given direction

Declaration

public void SetDirectionVector(Base6Directions.Direction direction, Vector3D newValue)

Parameters

Type	Name	Description
Base6Directions.Direction	direction
Vector3D	newValue

SetFrom(in Matrix)

Declaration

public void SetFrom(in Matrix m)

Parameters

Type	Name	Description
Matrix	m

SetRotationAndScale(in Matrix)

Declaration

public void SetRotationAndScale(in Matrix m)

Parameters

Type	Name	Description
Matrix	m

SetRow(Int32, Vector4)

Declaration

public void SetRow(int row, Vector4 value)

Parameters

Type	Name	Description
System.Int32	row
Vector4	value

Slerp(MatrixD, MatrixD, Double)

Performs spherical linear interpolation of position and rotation.

Declaration

public static MatrixD Slerp(MatrixD matrix1, MatrixD matrix2, double amount)

Parameters

Type	Name	Description
MatrixD	matrix1
MatrixD	matrix2
System.Double	amount

Returns

Type	Description
MatrixD

Slerp(in MatrixD, in MatrixD, Double, out MatrixD)

Performs spherical linear interpolation of position and rotation.

Declaration

public static void Slerp(in MatrixD matrix1, in MatrixD matrix2, double amount, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1
MatrixD	matrix2
System.Double	amount
MatrixD	result

SlerpScale(MatrixD, MatrixD, Double)

Performs spherical linear interpolation of position and rotation and scale.

Declaration

public static MatrixD SlerpScale(MatrixD matrix1, MatrixD matrix2, double amount)

Parameters

Type	Name	Description
MatrixD	matrix1
MatrixD	matrix2
System.Double	amount

Returns

Type	Description
MatrixD

SlerpScale(MatrixD, MatrixD, Double, out MatrixD)

Performs spherical linear interpolation of position and rotation and scale.

Declaration

public static void SlerpScale(MatrixD matrix1, MatrixD matrix2, double amount, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1
MatrixD	matrix2
System.Double	amount
MatrixD	result

SlerpScale(ref MatrixD, ref MatrixD, Double, out MatrixD)

Performs spherical linear interpolation of position and rotation and scale.

Declaration

public static void SlerpScale(ref MatrixD matrix1, ref MatrixD matrix2, double amount, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1
MatrixD	matrix2
System.Double	amount
MatrixD	result

Subtract(Matrix, Matrix)

Subtracts matrices.

Declaration

public static Matrix Subtract(Matrix matrix1, Matrix matrix2)

Parameters

Type	Name	Description
Matrix	matrix1	Source matrix.
Matrix	matrix2	Source matrix.

Returns

Type	Description
Matrix

Subtract(ref MatrixD, ref MatrixD, out MatrixD)

Subtracts matrices.

Declaration

public static void Subtract(ref MatrixD matrix1, ref MatrixD matrix2, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.
MatrixD	result	[OutAttribute] Result of the subtraction.

SwapYZCoordinates(MatrixD)

Declaration

public static MatrixD SwapYZCoordinates(MatrixD m)

Parameters

Type	Name	Description
MatrixD	m

Returns

Type	Description
MatrixD

ToString()

Retrieves a string representation of the current object.

Declaration

public override string ToString()

Returns

Type	Description
System.String

Transform(MatrixD, Quaternion)

Transforms a Matrix by applying a Quaternion rotation.

Declaration

public static MatrixD Transform(MatrixD value, Quaternion rotation)

Parameters

Type	Name	Description
MatrixD	value	The Matrix to transform.
Quaternion	rotation	The rotation to apply, expressed as a Quaternion.

Returns

Type	Description
MatrixD

Transform(ref MatrixD, ref Quaternion, out MatrixD)

Transforms a Matrix by applying a Quaternion rotation.

Declaration

public static void Transform(ref MatrixD value, ref Quaternion rotation, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	value	The Matrix to transform.
Quaternion	rotation	The rotation to apply, expressed as a Quaternion.
MatrixD	result	[OutAttribute] An existing Matrix filled in with the result of the transform.

Transpose(MatrixD)

Transposes the rows and columns of a matrix.

Declaration

public static MatrixD Transpose(MatrixD matrix)

Parameters

Type	Name	Description
MatrixD	matrix	Source matrix.

Returns

Type	Description
MatrixD

Transpose(ref MatrixD, out MatrixD)

Transposes the rows and columns of a matrix.

Declaration

public static void Transpose(ref MatrixD matrix, out MatrixD result)

Parameters

Type	Name	Description
MatrixD	matrix	Source matrix.
MatrixD	result	[OutAttribute] Transposed matrix.

Operators

Addition(MatrixD, MatrixD)

Adds a matrix to another matrix.

Declaration

public static MatrixD operator +(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.

Returns

Type	Description
MatrixD

Division(MatrixD, Double)

Divides the components of a matrix by a scalar.

Declaration

public static MatrixD operator /(MatrixD matrix1, double divider)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
System.Double	divider	The divisor.

Returns

Type	Description
MatrixD

Division(MatrixD, MatrixD)

Divides the components of a matrix by the corresponding components of another matrix.

Declaration

public static MatrixD operator /(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	The divisor.

Returns

Type	Description
MatrixD

Equality(MatrixD, MatrixD)

Compares a matrix for equality with another matrix.

Declaration

public static bool operator ==(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.

Returns

Type	Description
System.Boolean

Implicit(in Matrix to MatrixD)

Declaration

public static implicit operator MatrixD(in Matrix m)

Parameters

Type	Name	Description
Matrix	m

Returns

Type	Description
MatrixD

Implicit(in MatrixD to Matrix)

Declaration

public static implicit operator Matrix(in MatrixD m)

Parameters

Type	Name	Description
MatrixD	m

Returns

Type	Description
Matrix

Inequality(MatrixD, MatrixD)

Tests a matrix for inequality with another matrix.

Declaration

public static bool operator !=(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	The matrix on the left of the equal sign.
MatrixD	matrix2	The matrix on the right of the equal sign.

Returns

Type	Description
System.Boolean

Multiply(Double, MatrixD)

Multiplies a matrix by a scalar value.

Declaration

public static MatrixD operator *(double scaleFactor, MatrixD matrix)

Parameters

Type	Name	Description
System.Double	scaleFactor	Scalar value.
MatrixD	matrix	Source matrix.

Returns

Type	Description
MatrixD

Multiply(Matrix, MatrixD)

Multiplies a matrix by another matrix.

Declaration

public static MatrixD operator *(Matrix matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
Matrix	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.

Returns

Type	Description
MatrixD

Multiply(MatrixD, Double)

Multiplies a matrix by a scalar value.

Declaration

public static MatrixD operator *(MatrixD matrix, double scaleFactor)

Parameters

Type	Name	Description
MatrixD	matrix	Source matrix.
System.Double	scaleFactor	Scalar value.

Returns

Type	Description
MatrixD

Multiply(MatrixD, Matrix)

Multiplies a matrix by another matrix.

Declaration

public static MatrixD operator *(MatrixD matrix1, Matrix matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
Matrix	matrix2	Source matrix.

Returns

Type	Description
MatrixD

Multiply(MatrixD, MatrixD)

Multiplies a matrix by another matrix.

Declaration

public static MatrixD operator *(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.

Returns

Type	Description
MatrixD

Subtraction(MatrixD, MatrixD)

Subtracts matrices.

Declaration

public static MatrixD operator -(MatrixD matrix1, MatrixD matrix2)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.
MatrixD	matrix2	Source matrix.

Returns

Type	Description
MatrixD

UnaryNegation(MatrixD)

Negates individual elements of a matrix.

Declaration

public static MatrixD operator -(MatrixD matrix1)

Parameters

Type	Name	Description
MatrixD	matrix1	Source matrix.

Returns

Type	Description
MatrixD