Struct Matrix4

Represents a 4x4 matrix containing 3D rotation, scale, transform, and projection.

Implements

IEquatable<Matrix4>

IFormattable

Inherited Members

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

[Serializable]
public struct Matrix4 : IEquatable<Matrix4>, IFormattable

Constructors

Matrix4(Matrix3)

Initializes a new instance of the Matrix4 struct.

Declaration

public Matrix4(Matrix3 topLeft)

Parameters

Type	Name	Description
Matrix3	topLeft	The top left 3x3 of the matrix.

Matrix4(Vector4, Vector4, Vector4, Vector4)

Initializes a new instance of the Matrix4 struct.

Declaration

public Matrix4(Vector4 row0, Vector4 row1, Vector4 row2, Vector4 row3)

Parameters

Type	Name	Description
Vector4	row0	Top row of the matrix.
Vector4	row1	Second row of the matrix.
Vector4	row2	Third row of the matrix.
Vector4	row3	Bottom row of the matrix.

Matrix4(float, float, float, float, float, float, float, float, float, float, float, float, float, float, float, float)

Initializes a new instance of the Matrix4 struct.

Declaration

public Matrix4(float m00, float m01, float m02, float m03, float m10, float m11, float m12, float m13, float m20, float m21, float m22, float m23, float m30, float m31, float m32, float m33)

Parameters

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

Fields

Identity

The identity matrix.

Declaration

public static readonly Matrix4 Identity

Field Value

Type	Description
Matrix4

Row0

Top row of the matrix.

Declaration

public Vector4 Row0

Field Value

Type	Description
Vector4

Row1

2nd row of the matrix.

Declaration

public Vector4 Row1

Field Value

Type	Description
Vector4

Row2

3rd row of the matrix.

Declaration

public Vector4 Row2

Field Value

Type	Description
Vector4

Row3

Bottom row of the matrix.

Declaration

public Vector4 Row3

Field Value

Type	Description
Vector4

Zero

The zero matrix.

Declaration

public static readonly Matrix4 Zero

Field Value

Type	Description
Matrix4

Properties

Column0

Gets or sets the first column of this matrix.

Declaration

public Vector4 Column0 { get; set; }

Property Value

Type	Description
Vector4

Column1

Gets or sets the second column of this matrix.

Declaration

public Vector4 Column1 { get; set; }

Property Value

Type	Description
Vector4

Column2

Gets or sets the third column of this matrix.

Declaration

public Vector4 Column2 { get; set; }

Property Value

Type	Description
Vector4

Column3

Gets or sets the fourth column of this matrix.

Declaration

public Vector4 Column3 { get; set; }

Property Value

Type	Description
Vector4

Determinant

Gets the determinant of this matrix.

Declaration

public float Determinant { get; }

Property Value

Type	Description
float

Diagonal

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

Declaration

public Vector4 Diagonal { get; set; }

Property Value

Type	Description
Vector4

this[int, int]

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

Declaration

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

Parameters

Type	Name	Description
int	rowIndex	The index of the row.
int	columnIndex	The index of the column.

Property Value

Type	Description
float	The element at the given row and column index.

M11

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

Declaration

public float M11 { get; set; }

Property Value

Type	Description
float

M12

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

Declaration

public float M12 { get; set; }

Property Value

Type	Description
float

M13

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

Declaration

public float M13 { get; set; }

Property Value

Type	Description
float

M14

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

Declaration

public float M14 { get; set; }

Property Value

Type	Description
float

M21

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

Declaration

public float M21 { get; set; }

Property Value

Type	Description
float

M22

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

Declaration

public float M22 { get; set; }

Property Value

Type	Description
float

M23

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

Declaration

public float M23 { get; set; }

Property Value

Type	Description
float

M24

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

Declaration

public float M24 { get; set; }

Property Value

Type	Description
float

M31

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

Declaration

public float M31 { get; set; }

Property Value

Type	Description
float

M32

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

Declaration

public float M32 { get; set; }

Property Value

Type	Description
float

M33

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

Declaration

public float M33 { get; set; }

Property Value

Type	Description
float

M34

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

Declaration

public float M34 { get; set; }

Property Value

Type	Description
float

M41

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

Declaration

public float M41 { get; set; }

Property Value

Type	Description
float

M42

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

Declaration

public float M42 { get; set; }

Property Value

Type	Description
float

M43

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

Declaration

public float M43 { get; set; }

Property Value

Type	Description
float

M44

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

Declaration

public float M44 { get; set; }

Property Value

Type	Description
float

Trace

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

Declaration

public float Trace { get; }

Property Value

Type	Description
float

Methods

Add(Matrix4, Matrix4)

Adds two instances.

Declaration

[Pure]
public static Matrix4 Add(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the addition.
Matrix4	right	The right operand of the addition.

Returns

Type	Description
Matrix4	A new instance that is the result of the addition.

Add(in Matrix4, in Matrix4, out Matrix4)

Adds two instances.

Declaration

public static void Add(in Matrix4 left, in Matrix4 right, out Matrix4 result)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the addition.
Matrix4	right	The right operand of the addition.
Matrix4	result	A new instance that is the result of the addition.

ClearProjection()

Returns a copy of this Matrix4 without projection.

Declaration

public Matrix4 ClearProjection()

Returns

Type	Description
Matrix4	The matrix without projection.

ClearRotation()

Returns a copy of this Matrix4 without rotation.

Declaration

public Matrix4 ClearRotation()

Returns

Type	Description
Matrix4	The matrix without rotation.

ClearScale()

Returns a copy of this Matrix4 without scale.

Declaration

public Matrix4 ClearScale()

Returns

Type	Description
Matrix4	The matrix without scaling.

ClearTranslation()

Returns a copy of this Matrix4 without translation.

Declaration

public Matrix4 ClearTranslation()

Returns

Type	Description
Matrix4	The matrix without translation.

CreateFromAxisAngle(Vector3, float, out Matrix4)

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

Declaration

public static void CreateFromAxisAngle(Vector3 axis, float angle, out Matrix4 result)

Parameters

Type	Name	Description
Vector3	axis	The axis to rotate about.
float	angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).
Matrix4	result	A matrix instance.

CreateFromAxisAngle(Vector3, float)

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

Declaration

[Pure]
public static Matrix4 CreateFromAxisAngle(Vector3 axis, float angle)

Parameters

Type	Name	Description
Vector3	axis	The axis to rotate about.
float	angle	Angle in radians to rotate counter-clockwise (looking in the direction of the given axis).

Returns

Type	Description
Matrix4	A matrix instance.

CreateFromQuaternion(Quaternion)

Builds a rotation matrix from a quaternion.

Declaration

[Pure]
public static Matrix4 CreateFromQuaternion(Quaternion q)

Parameters

Type	Name	Description
Quaternion	q	The quaternion to rotate by.

Returns

Type	Description
Matrix4	A matrix instance.

CreateFromQuaternion(in Quaternion, out Matrix4)

Builds a rotation matrix from a quaternion.

Declaration

public static void CreateFromQuaternion(in Quaternion q, out Matrix4 result)

Parameters

Type	Name	Description
Quaternion	q	The quaternion to rotate by.
Matrix4	result	A matrix instance.

CreateOrthographic(float, float, float, float, out Matrix4)

Creates an orthographic projection matrix.

Declaration

public static void CreateOrthographic(float width, float height, float depthNear, float depthFar, out Matrix4 result)

Parameters

Type	Name	Description
float	width	The width of the projection volume.
float	height	The height of the projection volume.
float	depthNear	The near edge of the projection volume.
float	depthFar	The far edge of the projection volume.
Matrix4	result	The resulting Matrix4 instance.

CreateOrthographic(float, float, float, float)

Creates an orthographic projection matrix.

Declaration

[Pure]
public static Matrix4 CreateOrthographic(float width, float height, float depthNear, float depthFar)

Parameters

Type	Name	Description
float	width	The width of the projection volume.
float	height	The height of the projection volume.
float	depthNear	The near edge of the projection volume.
float	depthFar	The far edge of the projection volume.

Returns

Type	Description
Matrix4	The resulting Matrix4 instance.

CreateOrthographicOffCenter(float, float, float, float, float, float, out Matrix4)

Creates an orthographic projection matrix.

Declaration

public static void CreateOrthographicOffCenter(float left, float right, float bottom, float top, float depthNear, float depthFar, out Matrix4 result)

Parameters

Type	Name	Description
float	left	The left edge of the projection volume.
float	right	The right edge of the projection volume.
float	bottom	The bottom edge of the projection volume.
float	top	The top edge of the projection volume.
float	depthNear	The near edge of the projection volume.
float	depthFar	The far edge of the projection volume.
Matrix4	result	The resulting Matrix4 instance.

CreateOrthographicOffCenter(float, float, float, float, float, float)

Creates an orthographic projection matrix.

Declaration

[Pure]
public static Matrix4 CreateOrthographicOffCenter(float left, float right, float bottom, float top, float depthNear, float depthFar)

Parameters

Type	Name	Description
float	left	The left edge of the projection volume.
float	right	The right edge of the projection volume.
float	bottom	The bottom edge of the projection volume.
float	top	The top edge of the projection volume.
float	depthNear	The near edge of the projection volume.
float	depthFar	The far edge of the projection volume.

Returns

Type	Description
Matrix4	The resulting Matrix4 instance.

CreatePerspectiveFieldOfView(float, float, float, float, out Matrix4)

Creates a perspective projection matrix.

Declaration

public static void CreatePerspectiveFieldOfView(float fovy, float aspect, float depthNear, float depthFar, out Matrix4 result)

Parameters

Type	Name	Description
float	fovy	Angle of the field of view in the y direction (in radians).
float	aspect	Aspect ratio of the view (width / height).
float	depthNear	Distance to the near clip plane.
float	depthFar	Distance to the far clip plane.
Matrix4	result	A projection matrix that transforms camera space to raster space.

Exceptions

Type

Condition

ArgumentOutOfRangeException

Thrown under the following conditions:

fovy is zero, less than zero or larger than Math.PI
aspect is negative or zero
depthNear is negative or zero
depthFar is negative or zero
depthNear is larger than depthFar

CreatePerspectiveFieldOfView(float, float, float, float)

Creates a perspective projection matrix.

Declaration

[Pure]
public static Matrix4 CreatePerspectiveFieldOfView(float fovy, float aspect, float depthNear, float depthFar)

Parameters

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

Returns

Type	Description
Matrix4	A projection matrix that transforms camera space to raster space.

Exceptions

Type

Condition

ArgumentOutOfRangeException

Thrown under the following conditions:

fovy is zero, less than zero or larger than Math.PI
aspect is negative or zero
depthNear is negative or zero
depthFar is negative or zero
depthNear is larger than depthFar

CreatePerspectiveOffCenter(float, float, float, float, float, float, out Matrix4)

Creates an perspective projection matrix.

Declaration

public static void CreatePerspectiveOffCenter(float left, float right, float bottom, float top, float depthNear, float depthFar, out Matrix4 result)

Parameters

Type	Name	Description
float	left	Left edge of the view frustum.
float	right	Right edge of the view frustum.
float	bottom	Bottom edge of the view frustum.
float	top	Top edge of the view frustum.
float	depthNear	Distance to the near clip plane.
float	depthFar	Distance to the far clip plane.
Matrix4	result	A projection matrix that transforms camera space to raster space.

Exceptions

Type

Condition

ArgumentOutOfRangeException

Thrown under the following conditions:

depthNear is negative or zero
depthFar is negative or zero
depthNear is larger than depthFar

CreatePerspectiveOffCenter(float, float, float, float, float, float)

Creates an perspective projection matrix.

Declaration

[Pure]
public static Matrix4 CreatePerspectiveOffCenter(float left, float right, float bottom, float top, float depthNear, float depthFar)

Parameters

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

Returns

Type	Description
Matrix4	A projection matrix that transforms camera space to raster space.

Exceptions

Type

Condition

ArgumentOutOfRangeException

Thrown under the following conditions:

depthNear is negative or zero
depthFar is negative or zero
depthNear is larger than depthFar

CreateRotationX(float, out Matrix4)

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

Declaration

public static void CreateRotationX(float angle, out Matrix4 result)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.
Matrix4	result	The resulting Matrix4 instance.

CreateRotationX(float)

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

Declaration

[Pure]
public static Matrix4 CreateRotationX(float angle)

Parameters

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

Returns

Type	Description
Matrix4	The resulting Matrix4 instance.

CreateRotationY(float, out Matrix4)

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

Declaration

public static void CreateRotationY(float angle, out Matrix4 result)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.
Matrix4	result	The resulting Matrix4 instance.

CreateRotationY(float)

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

Declaration

[Pure]
public static Matrix4 CreateRotationY(float angle)

Parameters

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

Returns

Type	Description
Matrix4	The resulting Matrix4 instance.

CreateRotationZ(float, out Matrix4)

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

Declaration

public static void CreateRotationZ(float angle, out Matrix4 result)

Parameters

Type	Name	Description
float	angle	The counter-clockwise angle in radians.
Matrix4	result	The resulting Matrix4 instance.

CreateRotationZ(float)

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

Declaration

[Pure]
public static Matrix4 CreateRotationZ(float angle)

Parameters

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

Returns

Type	Description
Matrix4	The resulting Matrix4 instance.

CreateScale(Vector3)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix4 CreateScale(Vector3 scale)

Parameters

Type	Name	Description
Vector3	scale	Scale factors for the x, y, and z axes.

Returns

Type	Description
Matrix4	A scale matrix.

CreateScale(in Vector3, out Matrix4)

Creates a scale matrix.

Declaration

public static void CreateScale(in Vector3 scale, out Matrix4 result)

Parameters

Type	Name	Description
Vector3	scale	Scale factors for the x, y, and z axes.
Matrix4	result	A scale matrix.

CreateScale(float, out Matrix4)

Creates a scale matrix.

Declaration

public static void CreateScale(float scale, out Matrix4 result)

Parameters

Type	Name	Description
float	scale	Single scale factor for the x, y, and z axes.
Matrix4	result	A scale matrix.

CreateScale(float, float, float, out Matrix4)

Creates a scale matrix.

Declaration

public static void CreateScale(float x, float y, float z, out Matrix4 result)

Parameters

Type	Name	Description
float	x	Scale factor for the x axis.
float	y	Scale factor for the y axis.
float	z	Scale factor for the z axis.
Matrix4	result	A scale matrix.

CreateScale(float, float, float)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix4 CreateScale(float x, float y, float z)

Parameters

Type	Name	Description
float	x	Scale factor for the x axis.
float	y	Scale factor for the y axis.
float	z	Scale factor for the z axis.

Returns

Type	Description
Matrix4	A scale matrix.

CreateScale(float)

Creates a scale matrix.

Declaration

[Pure]
public static Matrix4 CreateScale(float scale)

Parameters

Type	Name	Description
float	scale	Single scale factor for the x, y, and z axes.

Returns

Type	Description
Matrix4	A scale matrix.

CreateTranslation(Vector3)

Creates a translation matrix.

Declaration

[Pure]
public static Matrix4 CreateTranslation(Vector3 vector)

Parameters

Type	Name	Description
Vector3	vector	The translation vector.

Returns

Type	Description
Matrix4	The resulting Matrix4 instance.

CreateTranslation(in Vector3, out Matrix4)

Creates a translation matrix.

Declaration

public static void CreateTranslation(in Vector3 vector, out Matrix4 result)

Parameters

Type	Name	Description
Vector3	vector	The translation vector.
Matrix4	result	The resulting Matrix4 instance.

CreateTranslation(float, float, float, out Matrix4)

Creates a translation matrix.

Declaration

public static void CreateTranslation(float x, float y, float z, out Matrix4 result)

Parameters

Type	Name	Description
float	x	X translation.
float	y	Y translation.
float	z	Z translation.
Matrix4	result	The resulting Matrix4 instance.

CreateTranslation(float, float, float)

Creates a translation matrix.

Declaration

[Pure]
public static Matrix4 CreateTranslation(float x, float y, float z)

Parameters

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

Returns

Type	Description
Matrix4	The resulting Matrix4 instance.

Equals(Matrix4)

Indicates whether the current matrix is equal to another matrix.

Declaration

[Pure]
public bool Equals(Matrix4 other)

Parameters

Type	Name	Description
Matrix4	other	An matrix to compare with this matrix.

Returns

Type	Description
bool	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

[Pure]
public override bool Equals(object obj)

Parameters

Type	Name	Description
object	obj	The object to compare tresult.

Returns

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

Overrides

ValueType.Equals(object)

ExtractProjection()

Returns the projection component of this instance.

Declaration

public Vector4 ExtractProjection()

Returns

Type	Description
Vector4	The projection.

ExtractRotation(bool)

Returns the rotation component of this instance. Quite slow.

Declaration

[Pure]
public Quaternion ExtractRotation(bool rowNormalize = true)

Parameters

Type	Name	Description
bool	rowNormalize	Whether the method should row-normalize (i.e. remove scale from) the Matrix. Pass false if you know it's already normalized.

Returns

Type	Description
Quaternion	The rotation.

ExtractScale()

Returns the scale component of this instance.

Declaration

public Vector3 ExtractScale()

Returns

Type	Description
Vector3	The scale.

ExtractTranslation()

Returns the translation component of this instance.

Declaration

public Vector3 ExtractTranslation()

Returns

Type	Description
Vector3	The translation.

GetHashCode()

Returns the hashcode for this instance.

Declaration

public override int GetHashCode()

Returns

Type	Description
int	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(Matrix4)

Calculate the inverse of the given matrix.

Declaration

[Pure]
public static Matrix4 Invert(Matrix4 mat)

Parameters

Type	Name	Description
Matrix4	mat	The matrix to invert.

Returns

Type	Description
Matrix4	The inverse of the given matrix.

Exceptions

Type	Condition
InvalidOperationException	Thrown if the Matrix4 is singular.

Invert(in Matrix4, out Matrix4)

Calculate the inverse of the given matrix.

Declaration

public static void Invert(in Matrix4 mat, out Matrix4 result)

Parameters

Type	Name	Description
Matrix4	mat	The matrix to invert.
Matrix4	result	The inverse of the given matrix if it has one, or the input if it is singular.

Exceptions

Type	Condition
InvalidOperationException	Thrown if the Matrix4 is singular.

Inverted()

Returns an inverted copy of this instance.

Declaration

public Matrix4 Inverted()

Returns

Type	Description
Matrix4	The inverted copy.

LookAt(Vector3, Vector3, Vector3)

Build a world space to camera space matrix.

Declaration

[Pure]
public static Matrix4 LookAt(Vector3 eye, Vector3 target, Vector3 up)

Parameters

Type	Name	Description
Vector3	eye	Eye (camera) position in world space.
Vector3	target	Target position in world space.
Vector3	up	Up vector in world space (should not be parallel to the camera direction, that is target - eye).

Returns

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

LookAt(float, float, float, float, float, float, float, float, float)

Build a world space to camera space matrix.

Declaration

[Pure]
public static Matrix4 LookAt(float eyeX, float eyeY, float eyeZ, float targetX, float targetY, float targetZ, float upX, float upY, float upZ)

Parameters

Type	Name	Description
float	eyeX	Eye (camera) X-position in world space.
float	eyeY	Eye (camera) Y-position in world space.
float	eyeZ	Eye (camera) Z-position in world space.
float	targetX	Target X-position in world space.
float	targetY	Target Y-position in world space.
float	targetZ	Target Z-position in world space.
float	upX	X of the up vector in world space (should not be parallel to the camera direction, that is target - eye).
float	upY	Y of the up vector in world space (should not be parallel to the camera direction, that is target - eye).
float	upZ	Z of the up vector in world space (should not be parallel to the camera direction, that is target - eye).

Returns

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

Mult(Matrix4, Matrix4)

Multiplies two instances.

Declaration

[Pure]
public static Matrix4 Mult(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the multiplication.
Matrix4	right	The right operand of the multiplication.

Returns

Type	Description
Matrix4	A new instance that is the result of the multiplication.

Mult(Matrix4, float)

Multiplies an instance by a scalar.

Declaration

[Pure]
public static Matrix4 Mult(Matrix4 left, float right)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the multiplication.
float	right	The right operand of the multiplication.

Returns

Type	Description
Matrix4	A new instance that is the result of the multiplication.

Mult(in Matrix4, in Matrix4, out Matrix4)

Multiplies two instances.

Declaration

public static void Mult(in Matrix4 left, in Matrix4 right, out Matrix4 result)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the multiplication.
Matrix4	right	The right operand of the multiplication.
Matrix4	result	A new instance that is the result of the multiplication.

Mult(in Matrix4, float, out Matrix4)

Multiplies an instance by a scalar.

Declaration

public static void Mult(in Matrix4 left, float right, out Matrix4 result)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the multiplication.
float	right	The right operand of the multiplication.
Matrix4	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 normalized copy of this instance.

Declaration

public Matrix4 Normalized()

Returns

Type	Description
Matrix4	The normalized copy.

Subtract(Matrix4, Matrix4)

Subtracts one instance from another.

Declaration

[Pure]
public static Matrix4 Subtract(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the subraction.
Matrix4	right	The right operand of the subraction.

Returns

Type	Description
Matrix4	A new instance that is the result of the subraction.

Subtract(in Matrix4, in Matrix4, out Matrix4)

Subtracts one instance from another.

Declaration

public static void Subtract(in Matrix4 left, in Matrix4 right, out Matrix4 result)

Parameters

Type	Name	Description
Matrix4	left	The left operand of the subraction.
Matrix4	right	The right operand of the subraction.
Matrix4	result	A new instance that is the result of the subraction.

ToString()

Returns a System.String that represents the current Matrix4.

Declaration

public override string ToString()

Returns

Type	Description
string	The string representation of the matrix.

Overrides

ValueType.ToString()

ToString(IFormatProvider)

Declaration

public string ToString(IFormatProvider formatProvider)

Parameters

Type	Name	Description
IFormatProvider	formatProvider

Returns

Type	Description
string

ToString(string, IFormatProvider)

Declaration

public string ToString(string format, IFormatProvider formatProvider)

Parameters

Type	Name	Description
string	format
IFormatProvider	formatProvider

Returns

Type	Description
string

ToString(string)

Declaration

public string ToString(string format)

Parameters

Type	Name	Description
string	format

Returns

Type	Description
string

Transpose()

Converts this instance into its transpose.

Declaration

public void Transpose()

Transpose(Matrix4)

Calculate the transpose of the given matrix.

Declaration

[Pure]
public static Matrix4 Transpose(Matrix4 mat)

Parameters

Type	Name	Description
Matrix4	mat	The matrix to transpose.

Returns

Type	Description
Matrix4	The transpose of the given matrix.

Transpose(in Matrix4, out Matrix4)

Calculate the transpose of the given matrix.

Declaration

public static void Transpose(in Matrix4 mat, out Matrix4 result)

Parameters

Type	Name	Description
Matrix4	mat	The matrix to transpose.
Matrix4	result	The result of the calculation.

Operators

operator +(Matrix4, Matrix4)

Matrix addition.

Declaration

[Pure]
public static Matrix4 operator +(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	left-hand operand.
Matrix4	right	right-hand operand.

Returns

Type	Description
Matrix4	A new Matrix4 which holds the result of the addition.

operator ==(Matrix4, Matrix4)

Compares two instances for equality.

Declaration

[Pure]
public static bool operator ==(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	The first instance.
Matrix4	right	The second instance.

Returns

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

operator !=(Matrix4, Matrix4)

Compares two instances for inequality.

Declaration

[Pure]
public static bool operator !=(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	The first instance.
Matrix4	right	The second instance.

Returns

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

operator *(Matrix4, Matrix4)

Matrix multiplication.

Declaration

[Pure]
public static Matrix4 operator *(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	left-hand operand.
Matrix4	right	right-hand operand.

Returns

Type	Description
Matrix4	A new Matrix4 which holds the result of the multiplication.

operator *(Matrix4, float)

Matrix-scalar multiplication.

Declaration

[Pure]
public static Matrix4 operator *(Matrix4 left, float right)

Parameters

Type	Name	Description
Matrix4	left	left-hand operand.
float	right	right-hand operand.

Returns

Type	Description
Matrix4	A new Matrix4 which holds the result of the multiplication.

operator -(Matrix4, Matrix4)

Matrix subtraction.

Declaration

[Pure]
public static Matrix4 operator -(Matrix4 left, Matrix4 right)

Parameters

Type	Name	Description
Matrix4	left	left-hand operand.
Matrix4	right	right-hand operand.

Returns

Type	Description
Matrix4	A new Matrix4 which holds the result of the subtraction.

Implements

IEquatable<T>

IFormattable

Struct Matrix4

Implements

Inherited Members

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

Constructors

Matrix4(Matrix3)

Declaration

Parameters

See Also

Matrix4(Vector4, Vector4, Vector4, Vector4)

Declaration

Parameters

See Also

Matrix4(float, float, float, float, float, float, float, float, float, float, float, float, float, float, float, float)

Declaration

Parameters

See Also

Fields

Identity

Declaration

Field Value

See Also

Row0

Declaration

Field Value

See Also

Row1

Declaration

Field Value

See Also

Row2

Declaration

Field Value

See Also

Row3

Declaration

Field Value

See Also

Zero

Declaration

Field Value

See Also

Properties

Column0

Declaration

Property Value

See Also

Column1

Declaration

Property Value

See Also

Column2

Declaration

Property Value

See Also

Column3

Declaration

Property Value

See Also

Determinant

Declaration

Property Value

See Also

Diagonal

Declaration

Property Value

See Also

this[int, int]

Declaration

Parameters

Property Value

See Also

M11

Declaration

Property Value

See Also

M12

Declaration