Struct Matrix4d

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

Implements

IEquatable<Matrix4d>

IFormattable

Inherited Members

object.Equals(object, object)

object.GetType()

object.ReferenceEquals(object, object)

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

[Serializable]
public struct Matrix4d : IEquatable<Matrix4d>, IFormattable

Constructors

Matrix4d(Matrix3d)

Initializes a new instance of the Matrix4d struct.

Declaration

public Matrix4d(Matrix3d topLeft)

Parameters

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

Matrix4d(Vector4d, Vector4d, Vector4d, Vector4d)

Initializes a new instance of the Matrix4d struct.

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)

Initializes a new instance of the Matrix4d struct.

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	Fourth item of the third row.
double	m30	First 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

Gets or sets the first column of this matrix.

Declaration

public Vector4d Column0 { get; set; }

Property Value

Type	Description
Vector4d

Column1

Gets or sets the second column of this matrix.

Declaration

public Vector4d Column1 { get; set; }

Property Value

Type	Description
Vector4d

Column2

Gets or sets the third column of this matrix.

Declaration

public Vector4d Column2 { get; set; }

Property Value

Type	Description
Vector4d

Column3

Gets or sets the fourth column of this matrix.

Declaration

public Vector4d Column3 { get; set; }

Property Value

Type	Description
Vector4d

Determinant

Gets the determinant of this matrix.

Declaration

public 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

this[int, int]

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
int	rowIndex	The index of the row.
int	columnIndex	The index of the column.

Property Value

Type	Description
double	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 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 double Trace { get; }

Property Value

Type	Description
double

Methods

Add(Matrix4d, Matrix4d)

Adds two instances.

Declaration

[Pure]
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(in Matrix4d, in Matrix4d, out Matrix4d)

Adds two instances.

Declaration

public static void Add(in Matrix4d left, in 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	The matrix without projection.

ClearRotation()

Returns a copy of this Matrix4d without rotation.

Declaration

public Matrix4d ClearRotation()

Returns

Type	Description
Matrix4d	The matrix without rotation.

ClearScale()

Returns a copy of this Matrix4d without scale.

Declaration

public Matrix4d ClearScale()

Returns

Type	Description
Matrix4d	The matrix without scaling.

ClearTranslation()

Returns a copy of this Matrix4d without translation.

Declaration

public Matrix4d ClearTranslation()

Returns

Type	Description
Matrix4d	The matrix without translation.

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.

CreateFromAxisAngle(Vector3d, double)

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

Declaration

[Pure]
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.

CreateFromQuaternion(Quaterniond)

Builds a rotation matrix from a quaternion.

Declaration

[Pure]
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(in Quaterniond, out Matrix4d)

Build a rotation matrix from the specified quaternion.

Declaration

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

Parameters

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

CreateOrthographic(double, double, double, double, out Matrix4d)

Creates an orthographic projection matrix.

Declaration

public static void CreateOrthographic(double width, double height, double depthNear, double depthFar, out Matrix4d result)

Parameters

Type	Name	Description
double	width	The width of the projection volume.
double	height	The height of the projection volume.
double	depthNear	The near edge of the projection volume.
double	depthFar	The far edge of the projection volume.
Matrix4d	result	The resulting Matrix4d instance.

CreateOrthographic(double, double, double, double)

Creates an orthographic projection matrix.

Declaration

[Pure]
public static Matrix4d CreateOrthographic(double width, double height, double depthNear, double depthFar)

Parameters

Type	Name	Description
double	width	The width of the projection volume.
double	height	The height of the projection volume.
double	depthNear	The near edge of the projection volume.
double	depthFar	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 depthNear, double depthFar, 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	depthNear	The near edge of the projection volume.
double	depthFar	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

[Pure]
public static Matrix4d CreateOrthographicOffCenter(double left, double right, double bottom, double top, double depthNear, double depthFar)

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	depthNear	The near edge of the projection volume.
double	depthFar	The far edge of the projection volume.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreatePerspectiveFieldOfView(double, double, double, double, out Matrix4d)

Creates a perspective projection matrix.

Declaration

public static void CreatePerspectiveFieldOfView(double fovy, double aspect, double depthNear, double depthFar, 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	depthNear	Distance to the near clip plane.
double	depthFar	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:

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(double, double, double, double)

Creates a perspective projection matrix.

Declaration

[Pure]
public static Matrix4d CreatePerspectiveFieldOfView(double fovy, double aspect, double depthNear, double depthFar)

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	depthNear	Distance to the near clip plane.
double	depthFar	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:

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(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 depthNear, double depthFar, 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	depthNear	Distance to the near clip plane.
double	depthFar	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:

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

CreatePerspectiveOffCenter(double, double, double, double, double, double)

Creates an perspective projection matrix.

Declaration

[Pure]
public static Matrix4d CreatePerspectiveOffCenter(double left, double right, double bottom, double top, double depthNear, double depthFar)

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	depthNear	Distance to the near clip plane.
double	depthFar	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:

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

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.

CreateRotationX(double)

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

Declaration

[Pure]
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.

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.

CreateRotationY(double)

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

Declaration

[Pure]
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.

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.

CreateRotationZ(double)

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

Declaration

[Pure]
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.

CreateTranslation(Vector3d)

Creates a translation matrix.

Declaration

[Pure]
public static Matrix4d CreateTranslation(Vector3d vector)

Parameters

Type	Name	Description
Vector3d	vector	The translation vector.

Returns

Type	Description
Matrix4d	The resulting Matrix4d instance.

CreateTranslation(in Vector3d, out Matrix4d)

Creates a translation matrix.

Declaration

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

Parameters

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

CreateTranslation(double, double, double)

Creates a translation matrix.

Declaration

[Pure]
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.

Equals(Matrix4d)

Indicates whether the current matrix is equal to another matrix.

Declaration

[Pure]
public bool Equals(Matrix4d other)

Parameters

Type	Name	Description
Matrix4d	other	A 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 to.

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 Vector4d ExtractProjection()

Returns

Type	Description
Vector4d	The projection.

ExtractRotation(bool)

Returns the rotation component of this instance. Quite slow.

Declaration

[Pure]
public Quaterniond 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
Quaterniond	The rotation.

ExtractScale()

Returns the scale component of this instance.

Declaration

public Vector3d ExtractScale()

Returns

Type	Description
Vector3d	The scale.

ExtractTranslation()

Returns the translation component of this instance.

Declaration

public Vector3d ExtractTranslation()

Returns

Type	Description
Vector3d	The translation.

Frustum(double, double, double, double, double, double)

Build a projection matrix.

Declaration

[Pure]
public static Matrix4d Frustum(double left, double right, double bottom, double top, double depthNear, double depthFar)

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	depthNear	Distance to the near clip plane.
double	depthFar	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
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(in Matrix4d, out Matrix4d)

Calculate the inverse of the given matrix.

Declaration

[Pure]
public static void Invert(in Matrix4d mat, out Matrix4d result)

Parameters

Type	Name	Description
Matrix4d	mat	The matrix to invert.
Matrix4d	result	The inverted matrix.

Exceptions

Type	Condition
InvalidOperationException	Thrown if the Matrix4d is singular.

Invert(in Matrix4d)

Calculate the inverse of the given matrix.

Declaration

[Pure]
public static Matrix4d Invert(in Matrix4d mat)

Parameters

Type	Name	Description
Matrix4d	mat	The matrix to invert.

Returns

Type	Description
Matrix4d	The inverse of the given matrix.

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	The inverted copy.

LookAt(Vector3d, Vector3d, Vector3d)

Build a world space to camera space matrix.

Declaration

[Pure]
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

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

[Pure]
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

[Pure]
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(in Matrix4d, in Matrix4d, out Matrix4d)

Multiplies two instances.

Declaration

public static void Mult(in Matrix4d left, in 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(in Matrix4d, double, out Matrix4d)

Multiplies an instance by a scalar.

Declaration

public static void Mult(in 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 normalized copy of this instance.

Declaration

public Matrix4d Normalized()

Returns

Type	Description
Matrix4d	The normalized copy.

Perspective(double, double, double, double)

Build a projection matrix.

Declaration

[Pure]
public static Matrix4d Perspective(double fovy, double aspect, double depthNear, double depthFar)

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	depthNear	Distance to the near clip plane.
double	depthFar	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

[Pure]
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

[Pure]
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

[Pure]
public static Matrix4d RotateX(double angle)

Parameters

Type	Name	Description
double	angle	The 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

[Pure]
public static Matrix4d RotateY(double angle)

Parameters

Type	Name	Description
double	angle	The 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

[Pure]
public static Matrix4d RotateZ(double angle)

Parameters

Type	Name	Description
double	angle	The 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

[Pure]
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, double, double)

Build a scaling matrix.

Declaration

[Pure]
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.

Scale(double)

Build a scaling matrix.

Declaration

[Pure]
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.

Subtract(Matrix4d, Matrix4d)

Subtracts one instance from another.

Declaration

[Pure]
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(in Matrix4d, in Matrix4d, out Matrix4d)

Subtracts one instance from another.

Declaration

public static void Subtract(in Matrix4d left, in 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()

Declaration

public override string ToString()

Returns

Type	Description
string

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(Matrix4d)

Calculate the transpose of the given matrix.

Declaration

[Pure]
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(in Matrix4d, out Matrix4d)

Calculate the transpose of the given matrix.

Declaration

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

Parameters

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

Operators

operator +(Matrix4d, Matrix4d)

Matrix addition.

Declaration

[Pure]
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.

operator ==(Matrix4d, Matrix4d)

Compares two instances for equality.

Declaration

[Pure]
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
bool	True, if left equals right; false otherwise.

operator !=(Matrix4d, Matrix4d)

Compares two instances for inequality.

Declaration

[Pure]
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
bool	True, if left does not equal right; false otherwise.

operator *(Matrix4d, Matrix4d)

Matrix multiplication.

Declaration

[Pure]
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.

operator *(Matrix4d, double)

Matrix-scalar multiplication.

Declaration

[Pure]
public static Matrix4d operator *(Matrix4d left, double right)

Parameters

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

Returns

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

operator -(Matrix4d, Matrix4d)

Matrix subtraction.

Declaration

[Pure]
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

IEquatable<T>

IFormattable

Struct Matrix4d

Implements

Inherited Members

Namespace: OpenTK.Mathematics

Assembly: OpenTK.Mathematics.dll

Syntax

Constructors

Matrix4d(Matrix3d)

Declaration

Parameters

See Also

Matrix4d(Vector4d, Vector4d, Vector4d, Vector4d)

Declaration

Parameters

See Also

Matrix4d(double, double, double, double, double, double, double, double, double, double, double, double, double, double, double, double)

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

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

Property Value

See Also

M13

Declaration