Struct Matrix4d

Represents a 4x4 matrix containing 3D rotation, scale, transform, and projection with double-precision components.

Implements

IEquatable<Matrix4d>

Inherited Members

Object.Equals(Object, Object)

Object.ReferenceEquals(Object, Object)

Object.GetType()

Namespace: OpenTK

Assembly: OpenTK.dll

Syntax

[Serializable]
public struct Matrix4d : IEquatable<Matrix4d>

Constructors

Matrix4d(Matrix3d)

Constructs a new instance.

Declaration

public Matrix4d(Matrix3d topLeft)

Parameters

Type	Name	Description
Matrix3d	topLeft	The top left 3x3 of the matrix.

Matrix4d(Vector4d, Vector4d, Vector4d, Vector4d)

Constructs a new instance.

Declaration

public Matrix4d(Vector4d row0, Vector4d row1, Vector4d row2, Vector4d row3)

Parameters

Type	Name	Description
Vector4d	row0	Top row of the matrix
Vector4d	row1	Second row of the matrix
Vector4d	row2	Third row of the matrix
Vector4d	row3	Bottom row of the matrix

Matrix4d(Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double)

Constructs a new instance.

Declaration

public Matrix4d(double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23, double m30, double m31, double m32, double m33)

Parameters

Type	Name	Description
Double	m00	First item of the first row.
Double	m01	Second item of the first row.
Double	m02	Third item of the first row.
Double	m03	Fourth item of the first row.
Double	m10	First item of the second row.
Double	m11	Second item of the second row.
Double	m12	Third item of the second row.
Double	m13	Fourth item of the second row.
Double	m20	First item of the third row.
Double	m21	Second item of the third row.
Double	m22	Third item of the third row.
Double	m23	First item of the third row.
Double	m30	Fourth item of the fourth row.
Double	m31	Second item of the fourth row.
Double	m32	Third item of the fourth row.
Double	m33	Fourth item of the fourth row.

Fields

Identity

The identity matrix

Declaration

public static Matrix4d Identity

Field Value

Type	Description
Matrix4d

Row0

Top row of the matrix

Declaration

public Vector4d Row0

Field Value

Type	Description
Vector4d

Row1

2nd row of the matrix

Declaration

public Vector4d Row1

Field Value

Type	Description
Vector4d

Row2

3rd row of the matrix

Declaration

public Vector4d Row2

Field Value

Type	Description
Vector4d

Row3

Bottom row of the matrix

Declaration

public Vector4d Row3

Field Value

Type	Description
Vector4d

Properties

Column0

The first column of this matrix

Declaration

public Vector4d Column0 { get; set; }

Property Value

Type	Description
Vector4d

Column1

The second column of this matrix

Declaration

public Vector4d Column1 { get; set; }

Property Value

Type	Description
Vector4d

Column2

The third column of this matrix

Declaration

public Vector4d Column2 { get; set; }

Property Value

Type	Description
Vector4d

Column3

The fourth column of this matrix

Declaration

public Vector4d Column3 { get; set; }

Property Value

Type	Description
Vector4d

Determinant

The determinant of this matrix

Declaration

public readonly double Determinant { get; }

Property Value

Type	Description
Double

Diagonal

Gets or sets the values along the main diagonal of the matrix.

Declaration

public Vector4d Diagonal { get; set; }

Property Value

Type	Description
Vector4d

Item[Int32, Int32]

Gets or sets the value at a specified row and column.

Declaration

public double this[int rowIndex, int columnIndex] { get; set; }

Parameters

Type	Name	Description
Int32	rowIndex
Int32	columnIndex

Property Value

Type	Description
Double

M11

Gets or sets the value at row 1, column 1 of this instance.

Declaration

public double M11 { get; set; }

Property Value

Type	Description
Double

M12

Gets or sets the value at row 1, column 2 of this instance.

Declaration

public double M12 { get; set; }

Property Value

Type	Description
Double

M13

Gets or sets the value at row 1, column 3 of this instance.

Declaration

public double M13 { get; set; }

Property Value

Type	Description
Double

M14

Gets or sets the value at row 1, column 4 of this instance.

Declaration

public double M14 { get; set; }

Property Value

Type	Description
Double

M21

Gets or sets the value at row 2, column 1 of this instance.

Declaration

public double M21 { get; set; }

Property Value

Type	Description
Double

M22

Gets or sets the value at row 2, column 2 of this instance.

Declaration

public double M22 { get; set; }

Property Value

Type	Description
Double

M23

Gets or sets the value at row 2, column 3 of this instance.

Declaration

public double M23 { get; set; }

Property Value

Type	Description
Double

M24

Gets or sets the value at row 2, column 4 of this instance.

Declaration

public double M24 { get; set; }

Property Value

Type	Description
Double

M31

Gets or sets the value at row 3, column 1 of this instance.

Declaration

public double M31 { get; set; }

Property Value

Type	Description
Double

M32

Gets or sets the value at row 3, column 2 of this instance.

Declaration

public double M32 { get; set; }

Property Value

Type	Description
Double

M33

Gets or sets the value at row 3, column 3 of this instance.

Declaration

public double M33 { get; set; }

Property Value

Type	Description
Double

M34

Gets or sets the value at row 3, column 4 of this instance.

Declaration

public double M34 { get; set; }

Property Value

Type	Description
Double

M41

Gets or sets the value at row 4, column 1 of this instance.

Declaration

public double M41 { get; set; }

Property Value

Type	Description
Double

M42

Gets or sets the value at row 4, column 2 of this instance.

Declaration

public double M42 { get; set; }

Property Value

Type	Description
Double

M43

Gets or sets the value at row 4, column 3 of this instance.

Declaration

public double M43 { get; set; }

Property Value

Type	Description
Double

M44

Gets or sets the value at row 4, column 4 of this instance.

Declaration

public double M44 { get; set; }

Property Value

Type	Description
Double

Trace

Gets the trace of the matrix, the sum of the values along the diagonal.

Declaration

public readonly double Trace { get; }

Property Value

Type	Description
Double

Methods

Add(Matrix4d, Matrix4d)

Adds two instances.

Declaration

public static Matrix4d Add(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the addition.
Matrix4d	right	The right operand of the addition.

Returns

Type	Description
Matrix4d	A new instance that is the result of the addition.

Add(ref Matrix4d, ref Matrix4d, out Matrix4d)

Adds two instances.

Declaration

public static void Add(ref Matrix4d left, ref Matrix4d right, out Matrix4d result)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the addition.
Matrix4d	right	The right operand of the addition.
Matrix4d	result	A new instance that is the result of the addition.

ClearProjection()

Returns a copy of this Matrix4d without projection.

Declaration

public Matrix4d ClearProjection()

Returns

Type	Description
Matrix4d

ClearRotation()

Returns a copy of this Matrix4d without rotation.

Declaration

public Matrix4d ClearRotation()

Returns

Type	Description
Matrix4d

ClearScale()

Returns a copy of this Matrix4d without scale.

Declaration

public Matrix4d ClearScale()

Returns

Type	Description
Matrix4d

ClearTranslation()

Returns a copy of this Matrix4d without translation.

Declaration

public Matrix4d ClearTranslation()

Returns

Type	Description
Matrix4d

CreateFromAxisAngle(Vector3d, Double)

Build a rotation matrix from the specified axis/angle rotation.

Declaration

public static Matrix4d CreateFromAxisAngle(Vector3d axis, double angle)

Parameters

Type	Name	Description
Vector3d	axis	The axis to rotate about.
Double	angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).

Returns

Type	Description
Matrix4d	A matrix instance.

CreateFromAxisAngle(Vector3d, Double, out Matrix4d)

Build a rotation matrix from the specified axis/angle rotation.

Declaration

public static void CreateFromAxisAngle(Vector3d axis, double angle, out Matrix4d result)

Parameters

Type	Name	Description
Vector3d	axis	The axis to rotate about.
Double	angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).
Matrix4d	result	A matrix instance.

CreateFromQuaternion(Quaterniond)

Builds a rotation matrix from a quaternion.

Declaration

public static Matrix4d CreateFromQuaternion(Quaterniond q)

Parameters

Type	Name	Description
Quaterniond	q	The quaternion to rotate by.

Returns

Type	Description
Matrix4d	A matrix instance.

CreateFromQuaternion(ref Quaterniond, out Matrix4d)

Build a rotation matrix from the specified quaternion.

Declaration

public static void CreateFromQuaternion(ref Quaterniond q, out Matrix4d result)

Parameters

Type	Name	Description
Quaterniond	q	Quaternion to translate.
Matrix4d	result	Matrix result.

CreateOrthographic(Double, Double, Double, Double)

Creates an orthographic projection matrix.

Declaration

public static Matrix4d CreateOrthographic(double width, double height, double zNear, double zFar)

Parameters

Type	Name	Description
Double	width	The width of the projection volume.
Double	height	The height of the projection volume.
Double	zNear	The near edge of the projection volume.
Double	zFar	The far edge of the projection volume.

Returns

Type	Description
Matrix4d

CreateOrthographic(Double, Double, Double, Double, out Matrix4d)

Creates an orthographic projection matrix.

Declaration

public static void CreateOrthographic(double width, double height, double zNear, double zFar, out Matrix4d result)

Parameters

Type	Name	Description
Double	width	The width of the projection volume.
Double	height	The height of the projection volume.
Double	zNear	The near edge of the projection volume.
Double	zFar	The far edge of the projection volume.
Matrix4d	result	The resulting Matrix4d instance.

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

Creates an orthographic projection matrix.

Declaration

public static Matrix4d CreateOrthographicOffCenter(double left, double right, double bottom, double top, double zNear, double zFar)

Parameters

Type	Name	Description
Double	left	The left edge of the projection volume.
Double	right	The right edge of the projection volume.
Double	bottom	The bottom edge of the projection volume.
Double	top	The top edge of the projection volume.
Double	zNear	The near edge of the projection volume.
Double	zFar	The far edge of the projection volume.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreateOrthographicOffCenter(Double, Double, Double, Double, Double, Double, out Matrix4d)

Creates an orthographic projection matrix.

Declaration

public static void CreateOrthographicOffCenter(double left, double right, double bottom, double top, double zNear, double zFar, out Matrix4d result)

Parameters

Type	Name	Description
Double	left	The left edge of the projection volume.
Double	right	The right edge of the projection volume.
Double	bottom	The bottom edge of the projection volume.
Double	top	The top edge of the projection volume.
Double	zNear	The near edge of the projection volume.
Double	zFar	The far edge of the projection volume.
Matrix4d	result	The resulting Matrix4d instance.

CreatePerspectiveFieldOfView(Double, Double, Double, Double)

Creates a perspective projection matrix.

Declaration

public static Matrix4d CreatePerspectiveFieldOfView(double fovy, double aspect, double zNear, double zFar)

Parameters

Type	Name	Description
Double	fovy	Angle of the field of view in the y direction (in radians)
Double	aspect	Aspect ratio of the view (width / height)
Double	zNear	Distance to the near clip plane
Double	zFar	Distance to the far clip plane

Returns

Type	Description
Matrix4d	A projection matrix that transforms camera space to raster space

Exceptions

Type	Condition
ArgumentOutOfRangeException	Thrown under the following conditions:

CreatePerspectiveFieldOfView(Double, Double, Double, Double, out Matrix4d)

Creates a perspective projection matrix.

Declaration

public static void CreatePerspectiveFieldOfView(double fovy, double aspect, double zNear, double zFar, out Matrix4d result)

Parameters

Type	Name	Description
Double	fovy	Angle of the field of view in the y direction (in radians)
Double	aspect	Aspect ratio of the view (width / height)
Double	zNear	Distance to the near clip plane
Double	zFar	Distance to the far clip plane
Matrix4d	result	A projection matrix that transforms camera space to raster space

Exceptions

Type	Condition
ArgumentOutOfRangeException	Thrown under the following conditions:

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

Creates an perspective projection matrix.

Declaration

public static Matrix4d CreatePerspectiveOffCenter(double left, double right, double bottom, double top, double zNear, double zFar)

Parameters

Type	Name	Description
Double	left	Left edge of the view frustum
Double	right	Right edge of the view frustum
Double	bottom	Bottom edge of the view frustum
Double	top	Top edge of the view frustum
Double	zNear	Distance to the near clip plane
Double	zFar	Distance to the far clip plane

Returns

Type	Description
Matrix4d	A projection matrix that transforms camera space to raster space

Exceptions

Type	Condition
ArgumentOutOfRangeException	Thrown under the following conditions:

CreatePerspectiveOffCenter(Double, Double, Double, Double, Double, Double, out Matrix4d)

Creates an perspective projection matrix.

Declaration

public static void CreatePerspectiveOffCenter(double left, double right, double bottom, double top, double zNear, double zFar, out Matrix4d result)

Parameters

Type	Name	Description
Double	left	Left edge of the view frustum
Double	right	Right edge of the view frustum
Double	bottom	Bottom edge of the view frustum
Double	top	Top edge of the view frustum
Double	zNear	Distance to the near clip plane
Double	zFar	Distance to the far clip plane
Matrix4d	result	A projection matrix that transforms camera space to raster space

Exceptions

Type	Condition
ArgumentOutOfRangeException	Thrown under the following conditions:

CreateRotationX(Double)

Builds a rotation matrix for a rotation around the x-axis.

Declaration

public static Matrix4d CreateRotationX(double angle)

Parameters

Type	Name	Description
Double	angle	The counter-clockwise angle in radians.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreateRotationX(Double, out Matrix4d)

Builds a rotation matrix for a rotation around the x-axis.

Declaration

public static void CreateRotationX(double angle, out Matrix4d result)

Parameters

Type	Name	Description
Double	angle	The counter-clockwise angle in radians.
Matrix4d	result	The resulting Matrix4d instance.

CreateRotationY(Double)

Builds a rotation matrix for a rotation around the y-axis.

Declaration

public static Matrix4d CreateRotationY(double angle)

Parameters

Type	Name	Description
Double	angle	The counter-clockwise angle in radians.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreateRotationY(Double, out Matrix4d)

Builds a rotation matrix for a rotation around the y-axis.

Declaration

public static void CreateRotationY(double angle, out Matrix4d result)

Parameters

Type	Name	Description
Double	angle	The counter-clockwise angle in radians.
Matrix4d	result	The resulting Matrix4d instance.

CreateRotationZ(Double)

Builds a rotation matrix for a rotation around the z-axis.

Declaration

public static Matrix4d CreateRotationZ(double angle)

Parameters

Type	Name	Description
Double	angle	The counter-clockwise angle in radians.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreateRotationZ(Double, out Matrix4d)

Builds a rotation matrix for a rotation around the z-axis.

Declaration

public static void CreateRotationZ(double angle, out Matrix4d result)

Parameters

Type	Name	Description
Double	angle	The counter-clockwise angle in radians.
Matrix4d	result	The resulting Matrix4d instance.

CreateTranslation(Vector3d)

Creates a translation matrix.

Declaration

public static Matrix4d CreateTranslation(Vector3d vector)

Parameters

Type	Name	Description
Vector3d	vector	The translation vector.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreateTranslation(ref Vector3d, out Matrix4d)

Creates a translation matrix.

Declaration

public static void CreateTranslation(ref Vector3d vector, out Matrix4d result)

Parameters

Type	Name	Description
Vector3d	vector	The translation vector.
Matrix4d	result	The resulting Matrix4d instance.

CreateTranslation(Double, Double, Double)

Creates a translation matrix.

Declaration

public static Matrix4d CreateTranslation(double x, double y, double z)

Parameters

Type	Name	Description
Double	x	X translation.
Double	y	Y translation.
Double	z	Z translation.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreateTranslation(Double, Double, Double, out Matrix4d)

Creates a translation matrix.

Declaration

public static void CreateTranslation(double x, double y, double z, out Matrix4d result)

Parameters

Type	Name	Description
Double	x	X translation.
Double	y	Y translation.
Double	z	Z translation.
Matrix4d	result	The resulting Matrix4d instance.

Equals(Matrix4d)

Indicates whether the current matrix is equal to another matrix.

Declaration

public bool Equals(Matrix4d other)

Parameters

Type	Name	Description
Matrix4d	other	A matrix to compare with this matrix.

Returns

Type	Description
Boolean	true if the current matrix is equal to the matrix parameter; otherwise, false.

Equals(Object)

Indicates whether this instance and a specified object are equal.

Declaration

public override bool Equals(object obj)

Parameters

Type	Name	Description
Object	obj	The object to compare to.

Returns

Type	Description
Boolean	True if the instances are equal; false otherwise.

Overrides

ValueType.Equals(Object)

ExtractProjection()

Returns the projection component of this instance.

Declaration

public Vector4d ExtractProjection()

Returns

Type	Description
Vector4d

ExtractRotation(Boolean)

Returns the rotation component of this instance. Quite slow.

Declaration

public Quaterniond ExtractRotation(bool row_normalise = true)

Parameters

Type	Name	Description
Boolean	row_normalise	Whether the method should row-normalise (i.e. remove scale from) the Matrix. Pass false if you know it's already normalised.

Returns

Type	Description
Quaterniond

ExtractScale()

Returns the scale component of this instance.

Declaration

public Vector3d ExtractScale()

Returns

Type	Description
Vector3d

ExtractTranslation()

Returns the translation component of this instance.

Declaration

public Vector3d ExtractTranslation()

Returns

Type	Description
Vector3d

Frustum(Double, Double, Double, Double, Double, Double)

Build a projection matrix

Declaration

public static Matrix4d Frustum(double left, double right, double bottom, double top, double near, double far)

Parameters

Type	Name	Description
Double	left	Left edge of the view frustum
Double	right	Right edge of the view frustum
Double	bottom	Bottom edge of the view frustum
Double	top	Top edge of the view frustum
Double	near	Distance to the near clip plane
Double	far	Distance to the far clip plane

Returns

Type	Description
Matrix4d	A projection matrix that transforms camera space to raster space

GetHashCode()

Returns the hashcode for this instance.

Declaration

public override int GetHashCode()

Returns

Type	Description
Int32	A System.Int32 containing the unique hashcode for this instance.

Overrides

ValueType.GetHashCode()

Invert()

Converts this instance into its inverse.

Declaration

public void Invert()

Invert(Matrix4d)

Calculate the inverse of the given matrix

Declaration

public static Matrix4d Invert(Matrix4d mat)

Parameters

Type	Name	Description
Matrix4d	mat	The matrix to invert

Returns

Type	Description
Matrix4d	The inverse of the given matrix if it has one, or the input if it is singular

Exceptions

Type	Condition
InvalidOperationException	Thrown if the Matrix4d is singular.

Inverted()

Returns an inverted copy of this instance.

Declaration

public Matrix4d Inverted()

Returns

Type	Description
Matrix4d

LookAt(Vector3d, Vector3d, Vector3d)

Build a world space to camera space matrix

Declaration

public static Matrix4d LookAt(Vector3d eye, Vector3d target, Vector3d up)

Parameters

Type	Name	Description
Vector3d	eye	Eye (camera) position in world space
Vector3d	target	Target position in world space
Vector3d	up	Up vector in world space (should not be parallel to the camera direction, that is target - eye)

Returns

Type	Description
Matrix4d	A Matrix that transforms world space to camera space

LookAt(Double, Double, Double, Double, Double, Double, Double, Double, Double)

Build a world space to camera space matrix

Declaration

public static Matrix4d LookAt(double eyeX, double eyeY, double eyeZ, double targetX, double targetY, double targetZ, double upX, double upY, double upZ)

Parameters

Type	Name	Description
Double	eyeX	Eye (camera) position in world space
Double	eyeY	Eye (camera) position in world space
Double	eyeZ	Eye (camera) position in world space
Double	targetX	Target position in world space
Double	targetY	Target position in world space
Double	targetZ	Target position in world space
Double	upX	Up vector in world space (should not be parallel to the camera direction, that is target - eye)
Double	upY	Up vector in world space (should not be parallel to the camera direction, that is target - eye)
Double	upZ	Up vector in world space (should not be parallel to the camera direction, that is target - eye)

Returns

Type	Description
Matrix4d	A Matrix4 that transforms world space to camera space

Mult(Matrix4d, Matrix4d)

Multiplies two instances.

Declaration

public static Matrix4d Mult(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the multiplication.
Matrix4d	right	The right operand of the multiplication.

Returns

Type	Description
Matrix4d	A new instance that is the result of the multiplication

Mult(Matrix4d, Double)

Multiplies an instance by a scalar.

Declaration

public static Matrix4d Mult(Matrix4d left, double right)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the multiplication.
Double	right	The right operand of the multiplication.

Returns

Type	Description
Matrix4d	A new instance that is the result of the multiplication

Mult(ref Matrix4d, ref Matrix4d, out Matrix4d)

Multiplies two instances.

Declaration

public static void Mult(ref Matrix4d left, ref Matrix4d right, out Matrix4d result)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the multiplication.
Matrix4d	right	The right operand of the multiplication.
Matrix4d	result	A new instance that is the result of the multiplication

Mult(ref Matrix4d, Double, out Matrix4d)

Multiplies an instance by a scalar.

Declaration

public static void Mult(ref Matrix4d left, double right, out Matrix4d result)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the multiplication.
Double	right	The right operand of the multiplication.
Matrix4d	result	A new instance that is the result of the multiplication

Normalize()

Divides each element in the Matrix by the Determinant.

Declaration

public void Normalize()

Normalized()

Returns a normalised copy of this instance.

Declaration

public Matrix4d Normalized()

Returns

Type	Description
Matrix4d

Perspective(Double, Double, Double, Double)

Build a projection matrix

Declaration

public static Matrix4d Perspective(double fovy, double aspect, double near, double far)

Parameters

Type	Name	Description
Double	fovy	Angle of the field of view in the y direction (in radians)
Double	aspect	Aspect ratio of the view (width / height)
Double	near	Distance to the near clip plane
Double	far	Distance to the far clip plane

Returns

Type	Description
Matrix4d	A projection matrix that transforms camera space to raster space

Rotate(Quaterniond)

Build a rotation matrix from a quaternion

Declaration

public static Matrix4d Rotate(Quaterniond q)

Parameters

Type	Name	Description
Quaterniond	q	the quaternion

Returns

Type	Description
Matrix4d	A rotation matrix

Rotate(Vector3d, Double)

Build a rotation matrix to rotate about the given axis

Declaration

public static Matrix4d Rotate(Vector3d axis, double angle)

Parameters

Type	Name	Description
Vector3d	axis	the axis to rotate about
Double	angle	angle in radians to rotate counter-clockwise (looking in the direction of the given axis)

Returns

Type	Description
Matrix4d	A rotation matrix

RotateX(Double)

Build a rotation matrix that rotates about the x-axis

Declaration

public static Matrix4d RotateX(double angle)

Parameters

Type	Name	Description
Double	angle	angle in radians to rotate counter-clockwise around the x-axis

Returns

Type	Description
Matrix4d	A rotation matrix

RotateY(Double)

Build a rotation matrix that rotates about the y-axis

Declaration

public static Matrix4d RotateY(double angle)

Parameters

Type	Name	Description
Double	angle	angle in radians to rotate counter-clockwise around the y-axis

Returns

Type	Description
Matrix4d	A rotation matrix

RotateZ(Double)

Build a rotation matrix that rotates about the z-axis

Declaration

public static Matrix4d RotateZ(double angle)

Parameters

Type	Name	Description
Double	angle	angle in radians to rotate counter-clockwise around the z-axis

Returns

Type	Description
Matrix4d	A rotation matrix

Scale(Vector3d)

Build a scaling matrix

Declaration

public static Matrix4d Scale(Vector3d scale)

Parameters

Type	Name	Description
Vector3d	scale	Scale factors for x,y and z axes

Returns

Type	Description
Matrix4d	A scaling matrix

Scale(Double)

Build a scaling matrix

Declaration

public static Matrix4d Scale(double scale)

Parameters

Type	Name	Description
Double	scale	Single scale factor for x,y and z axes

Returns

Type	Description
Matrix4d	A scaling matrix

Scale(Double, Double, Double)

Build a scaling matrix

Declaration

public static Matrix4d Scale(double x, double y, double z)

Parameters

Type	Name	Description
Double	x	Scale factor for x-axis
Double	y	Scale factor for y-axis
Double	z	Scale factor for z-axis

Returns

Type	Description
Matrix4d	A scaling matrix

Subtract(Matrix4d, Matrix4d)

Subtracts one instance from another.

Declaration

public static Matrix4d Subtract(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the subraction.
Matrix4d	right	The right operand of the subraction.

Returns

Type	Description
Matrix4d	A new instance that is the result of the subraction.

Subtract(ref Matrix4d, ref Matrix4d, out Matrix4d)

Subtracts one instance from another.

Declaration

public static void Subtract(ref Matrix4d left, ref Matrix4d right, out Matrix4d result)

Parameters

Type	Name	Description
Matrix4d	left	The left operand of the subraction.
Matrix4d	right	The right operand of the subraction.
Matrix4d	result	A new instance that is the result of the subraction.

ToString()

Returns a System.String that represents the current Matrix44.

Declaration

public override string ToString()

Returns

Type	Description
String

Overrides

ValueType.ToString()

Transpose()

Converts this instance into its transpose.

Declaration

public void Transpose()

Transpose(Matrix4d)

Calculate the transpose of the given matrix

Declaration

public static Matrix4d Transpose(Matrix4d mat)

Parameters

Type	Name	Description
Matrix4d	mat	The matrix to transpose

Returns

Type	Description
Matrix4d	The transpose of the given matrix

Transpose(ref Matrix4d, out Matrix4d)

Calculate the transpose of the given matrix

Declaration

public static void Transpose(ref Matrix4d mat, out Matrix4d result)

Parameters

Type	Name	Description
Matrix4d	mat	The matrix to transpose
Matrix4d	result	The result of the calculation

Operators

Addition(Matrix4d, Matrix4d)

Matrix addition

Declaration

public static Matrix4d operator +(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	left-hand operand
Matrix4d	right	right-hand operand

Returns

Type	Description
Matrix4d	A new Matrix4d which holds the result of the addition

Equality(Matrix4d, Matrix4d)

Compares two instances for equality.

Declaration

public static bool operator ==(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	The first instance.
Matrix4d	right	The second instance.

Returns

Type	Description
Boolean	True, if left equals right; false otherwise.

Inequality(Matrix4d, Matrix4d)

Compares two instances for inequality.

Declaration

public static bool operator !=(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	The first instance.
Matrix4d	right	The second instance.

Returns

Type	Description
Boolean	True, if left does not equal right; false otherwise.

Multiply(Matrix4d, Matrix4d)

Matrix multiplication

Declaration

public static Matrix4d operator *(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	left-hand operand
Matrix4d	right	right-hand operand

Returns

Type	Description
Matrix4d	A new Matrix4d which holds the result of the multiplication

Multiply(Matrix4d, Single)

Matrix-scalar multiplication

Declaration

public static Matrix4d operator *(Matrix4d left, float right)

Parameters

Type	Name	Description
Matrix4d	left	left-hand operand
Single	right	right-hand operand

Returns

Type	Description
Matrix4d	A new Matrix4d which holds the result of the multiplication

Subtraction(Matrix4d, Matrix4d)

Matrix subtraction

Declaration

public static Matrix4d operator -(Matrix4d left, Matrix4d right)

Parameters

Type	Name	Description
Matrix4d	left	left-hand operand
Matrix4d	right	right-hand operand

Returns

Type	Description
Matrix4d	A new Matrix4d which holds the result of the subtraction

Implements

System.IEquatable<T>