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

Inherits IEquatable< Matrix4d >.

Public Member Functions
	Matrix4d (Vector4d row0, Vector4d row1, Vector4d row2, Vector4d row3)
	Constructs a new instance. More...

	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)
	Constructs a new instance. More...

void	Invert ()
	Converts this instance into its inverse. More...

void	Transpose ()
	Converts this instance into its transpose. More...

Matrix4d	Normalized ()
	Returns a normalised copy of this instance. More...

void	Normalize ()
	Divides each element in the Matrix by the Determinant. More...

Matrix4d	Inverted ()
	Returns an inverted copy of this instance. More...

Matrix4d	ClearTranslation ()
	Returns a copy of this Matrix4d without translation. More...

Matrix4d	ClearScale ()
	Returns a copy of this Matrix4d without scale. More...

Matrix4d	ClearRotation ()
	Returns a copy of this Matrix4d without rotation. More...

Matrix4d	ClearProjection ()
	Returns a copy of this Matrix4d without projection. More...

Vector3d	ExtractTranslation ()
	Returns the translation component of this instance. More...

Vector3d	ExtractScale ()
	Returns the scale component of this instance. More...

Quaterniond	ExtractRotation (bool row_normalise=true)
	Returns the rotation component of this instance. Quite slow. More...

Vector4d	ExtractProjection ()
	Returns the projection component of this instance. More...

override string	ToString ()
	Returns a System.String that represents the current Matrix44. More...

override int	GetHashCode ()
	Returns the hashcode for this instance. More...

override bool	Equals (object obj)
	Indicates whether this instance and a specified object are equal. More...

bool	Equals (Matrix4d other)
	Indicates whether the current matrix is equal to another matrix. More...

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3d axis, double angle, out Matrix4d result)
	Build a rotation matrix from the specified axis/angle rotation. More...

static Matrix4d	CreateFromAxisAngle (Vector3d axis, double angle)
	Build a rotation matrix from the specified axis/angle rotation. More...

static void	CreateRotationX (double angle, out Matrix4d result)
	Builds a rotation matrix for a rotation around the x-axis. More...

static Matrix4d	CreateRotationX (double angle)
	Builds a rotation matrix for a rotation around the x-axis. More...

static void	CreateRotationY (double angle, out Matrix4d result)
	Builds a rotation matrix for a rotation around the y-axis. More...

static Matrix4d	CreateRotationY (double angle)
	Builds a rotation matrix for a rotation around the y-axis. More...

static void	CreateRotationZ (double angle, out Matrix4d result)
	Builds a rotation matrix for a rotation around the z-axis. More...

static Matrix4d	CreateRotationZ (double angle)
	Builds a rotation matrix for a rotation around the z-axis. More...

static void	CreateTranslation (double x, double y, double z, out Matrix4d result)
	Creates a translation matrix. More...

static void	CreateTranslation (ref Vector3d vector, out Matrix4d result)
	Creates a translation matrix. More...

static Matrix4d	CreateTranslation (double x, double y, double z)
	Creates a translation matrix. More...

static Matrix4d	CreateTranslation (Vector3d vector)
	Creates a translation matrix. More...

static void	CreateOrthographic (double width, double height, double zNear, double zFar, out Matrix4d result)
	Creates an orthographic projection matrix. More...

static Matrix4d	CreateOrthographic (double width, double height, double zNear, double zFar)
	Creates an orthographic projection matrix. More...

static void	CreateOrthographicOffCenter (double left, double right, double bottom, double top, double zNear, double zFar, out Matrix4d result)
	Creates an orthographic projection matrix. More...

static Matrix4d	CreateOrthographicOffCenter (double left, double right, double bottom, double top, double zNear, double zFar)
	Creates an orthographic projection matrix. More...

static void	CreatePerspectiveFieldOfView (double fovy, double aspect, double zNear, double zFar, out Matrix4d result)
	Creates a perspective projection matrix. More...

static Matrix4d	CreatePerspectiveFieldOfView (double fovy, double aspect, double zNear, double zFar)
	Creates a perspective projection matrix. More...

static void	CreatePerspectiveOffCenter (double left, double right, double bottom, double top, double zNear, double zFar, out Matrix4d result)
	Creates an perspective projection matrix. More...

static Matrix4d	CreatePerspectiveOffCenter (double left, double right, double bottom, double top, double zNear, double zFar)
	Creates an perspective projection matrix. More...

static void	CreateFromQuaternion (ref Quaterniond q, ref Matrix4d m)
	Build a rotation matrix from the specified quaternion. More...

static Matrix4d	CreateFromQuaternion (ref Quaterniond q)
	Build a rotation matrix from the specified quaternion. More...

static Matrix4d	Translation (Vector3d trans)
	Build a translation matrix with the given translation More...

static Matrix4d	Translation (double x, double y, double z)
	Build a translation matrix with the given translation More...

static Matrix4d	Scale (double scale)
	Build a scaling matrix More...

static Matrix4d	Scale (Vector3d scale)
	Build a scaling matrix More...

static Matrix4d	Scale (double x, double y, double z)
	Build a scaling matrix More...

static Matrix4d	RotateX (double angle)
	Build a rotation matrix that rotates about the x-axis More...

static Matrix4d	RotateY (double angle)
	Build a rotation matrix that rotates about the y-axis More...

static Matrix4d	RotateZ (double angle)
	Build a rotation matrix that rotates about the z-axis More...

static Matrix4d	Rotate (Vector3d axis, double angle)
	Build a rotation matrix to rotate about the given axis More...

static Matrix4d	Rotate (Quaterniond q)
	Build a rotation matrix from a quaternion More...

static Matrix4d	LookAt (Vector3d eye, Vector3d target, Vector3d up)
	Build a world space to camera space matrix More...

static Matrix4d	LookAt (double eyeX, double eyeY, double eyeZ, double targetX, double targetY, double targetZ, double upX, double upY, double upZ)
	Build a world space to camera space matrix More...

static Matrix4d	Frustum (double left, double right, double bottom, double top, double near, double far)
	Build a projection matrix More...

static Matrix4d	Perspective (double fovy, double aspect, double near, double far)
	Build a projection matrix More...

static Matrix4d	Add (Matrix4d left, Matrix4d right)
	Adds two instances. More...

static void	Add (ref Matrix4d left, ref Matrix4d right, out Matrix4d result)
	Adds two instances. More...

static Matrix4d	Subtract (Matrix4d left, Matrix4d right)
	Subtracts one instance from another. More...

static void	Subtract (ref Matrix4d left, ref Matrix4d right, out Matrix4d result)
	Subtracts one instance from another. More...

static Matrix4d	Mult (Matrix4d left, Matrix4d right)
	Multiplies two instances. More...

static void	Mult (ref Matrix4d left, ref Matrix4d right, out Matrix4d result)
	Multiplies two instances. More...

static Matrix4d	Mult (Matrix4d left, double right)
	Multiplies an instance by a scalar. More...

static void	Mult (ref Matrix4d left, double right, out Matrix4d result)
	Multiplies an instance by a scalar. More...

static Matrix4d	Invert (Matrix4d mat)
	Calculate the inverse of the given matrix More...

static Matrix4d	Transpose (Matrix4d mat)
	Calculate the transpose of the given matrix More...

static void	Transpose (ref Matrix4d mat, out Matrix4d result)
	Calculate the transpose of the given matrix More...

static Matrix4d	operator* (Matrix4d left, Matrix4d right)
	Matrix multiplication More...

static Matrix4d	operator* (Matrix4d left, float right)
	Matrix-scalar multiplication More...

static Matrix4d	operator+ (Matrix4d left, Matrix4d right)
	Matrix addition More...

static Matrix4d	operator- (Matrix4d left, Matrix4d right)
	Matrix subtraction More...

static bool	operator== (Matrix4d left, Matrix4d right)
	Compares two instances for equality. More...

static bool	operator!= (Matrix4d left, Matrix4d right)
	Compares two instances for inequality. More...

Public Attributes
Vector4d	Row0
	Top row of the matrix More...

Vector4d	Row1
	2nd row of the matrix More...

Vector4d	Row2
	3rd row of the matrix More...

Vector4d	Row3
	Bottom row of the matrix More...

Static Public Attributes
static Matrix4d	Identity = new Matrix4d(Vector4d.UnitX, Vector4d.UnitY, Vector4d.UnitZ, Vector4d.UnitW)
	The identity matrix More...

Properties
double	Determinant `[get]`
	The determinant of this matrix More...

Vector4d	Column0 `[get, set]`
	The first column of this matrix More...

Vector4d	Column1 `[get, set]`
	The second column of this matrix More...

Vector4d	Column2 `[get, set]`
	The third column of this matrix More...

Vector4d	Column3 `[get, set]`
	The fourth column of this matrix More...

double	M11 `[get, set]`
	Gets or sets the value at row 1, column 1 of this instance. More...

double	M12 `[get, set]`
	Gets or sets the value at row 1, column 2 of this instance. More...

double	M13 `[get, set]`
	Gets or sets the value at row 1, column 3 of this instance. More...

double	M14 `[get, set]`
	Gets or sets the value at row 1, column 4 of this instance. More...

double	M21 `[get, set]`
	Gets or sets the value at row 2, column 1 of this instance. More...

double	M22 `[get, set]`
	Gets or sets the value at row 2, column 2 of this instance. More...

double	M23 `[get, set]`
	Gets or sets the value at row 2, column 3 of this instance. More...

double	M24 `[get, set]`
	Gets or sets the value at row 2, column 4 of this instance. More...

double	M31 `[get, set]`
	Gets or sets the value at row 3, column 1 of this instance. More...

double	M32 `[get, set]`
	Gets or sets the value at row 3, column 2 of this instance. More...

double	M33 `[get, set]`
	Gets or sets the value at row 3, column 3 of this instance. More...

double	M34 `[get, set]`
	Gets or sets the value at row 3, column 4 of this instance. More...

double	M41 `[get, set]`
	Gets or sets the value at row 4, column 1 of this instance. More...

double	M42 `[get, set]`
	Gets or sets the value at row 4, column 2 of this instance. More...

double	M43 `[get, set]`
	Gets or sets the value at row 4, column 3 of this instance. More...

double	M44 `[get, set]`
	Gets or sets the value at row 4, column 4 of this instance. More...

Vector4d	Diagonal `[get, set]`
	Gets or sets the values along the main diagonal of the matrix. More...

double	Trace `[get]`
	Gets the trace of the matrix, the sum of the values along the diagonal. More...

double	this[int rowIndex, int columnIndex] `[get, set]`
	Gets or sets the value at a specified row and column. More...

Detailed Description

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

See Also: Matrix4

Constructor & Destructor Documentation

OpenTK.Matrix4d.Matrix4d	(	Vector4d	row0,
		Vector4d	row1,
		Vector4d	row2,
		Vector4d	row3
	)

Constructs a new instance.

Parameters

row0	Top row of the matrix
row1	Second row of the matrix
row2	Third row of the matrix
row3	Bottom row of the matrix

OpenTK.Matrix4d.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
	)

Constructs a new instance.

Parameters

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

Member Function Documentation

static Matrix4d OpenTK.Matrix4d.Add	(	Matrix4d	left,
		Matrix4d	right
	)

static

Adds two instances.

Parameters

left	The left operand of the addition.
right	The right operand of the addition.

Returns: A new instance that is the result of the addition.

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

static

Adds two instances.

Parameters

left	The left operand of the addition.
right	The right operand of the addition.
result	A new instance that is the result of the addition.

Matrix4d OpenTK.Matrix4d.ClearProjection ( )

Returns a copy of this Matrix4d without projection.

Matrix4d OpenTK.Matrix4d.ClearRotation ( )

Returns a copy of this Matrix4d without rotation.

Matrix4d OpenTK.Matrix4d.ClearScale ( )

Returns a copy of this Matrix4d without scale.

Matrix4d OpenTK.Matrix4d.ClearTranslation ( )

Returns a copy of this Matrix4d without translation.

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

static

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

Parameters

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

static Matrix4d OpenTK.Matrix4d.CreateFromAxisAngle	(	Vector3d	axis,
		double	angle
	)

static

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

Parameters

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

Returns: A matrix instance.

static void OpenTK.Matrix4d.CreateFromQuaternion	(	ref Quaterniond	q,
		ref Matrix4d	m
	)

static

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.
m	Matrix result.

static Matrix4d OpenTK.Matrix4d.CreateFromQuaternion ( ref Quaterniond q )

static

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.

Returns: A matrix instance.

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

static

Creates an orthographic projection matrix.

Parameters

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

static Matrix4d OpenTK.Matrix4d.CreateOrthographic	(	double	width,
		double	height,
		double	zNear,
		double	zFar
	)

static

Creates an orthographic projection matrix.

Parameters

width	The width of the projection volume.
height	The height of the projection volume.
zNear	The near edge of the projection volume.
zFar	The far edge of the projection volume.

<rereturns>The resulting Matrix4d instance.</rereturns>

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

static

Creates an orthographic projection matrix.

Parameters

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

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

static

Creates an orthographic projection matrix.

Parameters

left	The left edge of the projection volume.
right	The right edge of the projection volume.
bottom	The bottom edge of the projection volume.
top	The top edge of the projection volume.
zNear	The near edge of the projection volume.
zFar	The far edge of the projection volume.

Returns: The resulting Matrix4d instance.

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

static

Creates a perspective projection matrix.

Parameters

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

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions:

fovy is zero, less than zero or larger than Math.PI
aspect is negative or zero
zNear is negative or zero
zFar is negative or zero
zNear is larger than zFar

static Matrix4d OpenTK.Matrix4d.CreatePerspectiveFieldOfView	(	double	fovy,
		double	aspect,
		double	zNear,
		double	zFar
	)

static

Creates a perspective projection matrix.

Parameters

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

Returns: A projection matrix that transforms camera space to raster space

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions:

fovy is zero, less than zero or larger than Math.PI
aspect is negative or zero
zNear is negative or zero
zFar is negative or zero
zNear is larger than zFar

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

static

Creates an perspective projection matrix.

Parameters

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

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions:

zNear is negative or zero
zFar is negative or zero
zNear is larger than zFar

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

static

Creates an perspective projection matrix.

Parameters

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

Returns: A projection matrix that transforms camera space to raster space

Exceptions

System.ArgumentOutOfRangeException

Thrown under the following conditions:

zNear is negative or zero
zFar is negative or zero
zNear is larger than zFar

static void OpenTK.Matrix4d.CreateRotationX	(	double	angle,
		out Matrix4d	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4d instance.

static Matrix4d OpenTK.Matrix4d.CreateRotationX ( double angle )

static

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

Parameters

angle The counter-clockwise angle in radians.

Returns: The resulting Matrix4d instance.

static void OpenTK.Matrix4d.CreateRotationY	(	double	angle,
		out Matrix4d	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4d instance.

static Matrix4d OpenTK.Matrix4d.CreateRotationY ( double angle )

static

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

Parameters

angle The counter-clockwise angle in radians.

Returns: The resulting Matrix4d instance.

static void OpenTK.Matrix4d.CreateRotationZ	(	double	angle,
		out Matrix4d	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4d instance.

static Matrix4d OpenTK.Matrix4d.CreateRotationZ ( double angle )

static

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

Parameters

angle The counter-clockwise angle in radians.

Returns: The resulting Matrix4d instance.

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

static

Creates a translation matrix.

Parameters

x	X translation.
y	Y translation.
z	Z translation.
result	The resulting Matrix4d instance.

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

static

Creates a translation matrix.

Parameters

vector	The translation vector.
result	The resulting Matrix4d instance.

static Matrix4d OpenTK.Matrix4d.CreateTranslation	(	double	x,
		double	y,
		double	z
	)

static

Creates a translation matrix.

Parameters

x	X translation.
y	Y translation.
z	Z translation.

Returns: The resulting Matrix4d instance.

static Matrix4d OpenTK.Matrix4d.CreateTranslation ( Vector3d vector )

static

Creates a translation matrix.

Parameters

vector The translation vector.

Returns: The resulting Matrix4d instance.

override bool OpenTK.Matrix4d.Equals ( object obj )

Indicates whether this instance and a specified object are equal.

Parameters

obj	The object to compare to.

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

bool OpenTK.Matrix4d.Equals ( Matrix4d other )

Indicates whether the current matrix is equal to another matrix.

Parameters

other A matrix to compare with this matrix.

Returns: true if the current matrix is equal to the matrix parameter; otherwise, false.

Vector4d OpenTK.Matrix4d.ExtractProjection ( )

Returns the projection component of this instance.

Quaterniond OpenTK.Matrix4d.ExtractRotation ( bool row_normalise = true )

Returns the rotation component of this instance. Quite slow.

Parameters

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

Vector3d OpenTK.Matrix4d.ExtractScale ( )

Returns the scale component of this instance.

Vector3d OpenTK.Matrix4d.ExtractTranslation ( )

Returns the translation component of this instance.

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

static

Build a projection matrix

Parameters

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

Returns: A projection matrix that transforms camera space to raster space

override int OpenTK.Matrix4d.GetHashCode ( )

Returns the hashcode for this instance.

Returns: A System.Int32 containing the unique hashcode for this instance.

void OpenTK.Matrix4d.Invert ( )

Converts this instance into its inverse.

static Matrix4d OpenTK.Matrix4d.Invert ( Matrix4d mat )

static

Calculate the inverse of the given matrix

Parameters

mat	The matrix to invert

Returns: The inverse of the given matrix if it has one, or the input if it is singular

Exceptions

InvalidOperationException Thrown if the Matrix4d is singular.

Matrix4d OpenTK.Matrix4d.Inverted ( )

Returns an inverted copy of this instance.

static Matrix4d OpenTK.Matrix4d.LookAt	(	Vector3d	eye,
		Vector3d	target,
		Vector3d	up
	)

static

Build a world space to camera space matrix

Parameters

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

Returns: A Matrix that transforms world space to camera space

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

static

Build a world space to camera space matrix

Parameters

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

Returns: A Matrix4 that transforms world space to camera space

static Matrix4d OpenTK.Matrix4d.Mult	(	Matrix4d	left,
		Matrix4d	right
	)

static

Multiplies two instances.

Parameters

left	The left operand of the multiplication.
right	The right operand of the multiplication.

Returns: A new instance that is the result of the multiplication

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

static

Multiplies two instances.

Parameters

left	The left operand of the multiplication.
right	The right operand of the multiplication.
result	A new instance that is the result of the multiplication

static Matrix4d OpenTK.Matrix4d.Mult	(	Matrix4d	left,
		double	right
	)

static

Multiplies an instance by a scalar.

Parameters

left	The left operand of the multiplication.
right	The right operand of the multiplication.

Returns: A new instance that is the result of the multiplication

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

static

Multiplies an instance by a scalar.

Parameters

left	The left operand of the multiplication.
right	The right operand of the multiplication.
result	A new instance that is the result of the multiplication

void OpenTK.Matrix4d.Normalize ( )

Divides each element in the Matrix by the Determinant.

Matrix4d OpenTK.Matrix4d.Normalized ( )

Returns a normalised copy of this instance.

static bool OpenTK.Matrix4d.operator!=	(	Matrix4d	left,
		Matrix4d	right
	)

static

Compares two instances for inequality.

Parameters

left	The first instance.
right	The second instance.

Returns: True, if left does not equal right; false otherwise.

static Matrix4d OpenTK.Matrix4d.operator*	(	Matrix4d	left,
		Matrix4d	right
	)

static

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns: A new Matrix4d which holds the result of the multiplication

static Matrix4d OpenTK.Matrix4d.operator*	(	Matrix4d	left,
		float	right
	)

static

Matrix-scalar multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns: A new Matrix4d which holds the result of the multiplication

static Matrix4d OpenTK.Matrix4d.operator+	(	Matrix4d	left,
		Matrix4d	right
	)

static

Matrix addition

Parameters

left	left-hand operand
right	right-hand operand

Returns: A new Matrix4d which holds the result of the addition

static Matrix4d OpenTK.Matrix4d.operator-	(	Matrix4d	left,
		Matrix4d	right
	)

static

Matrix subtraction

Parameters

left	left-hand operand
right	right-hand operand

Returns: A new Matrix4d which holds the result of the subtraction

static bool OpenTK.Matrix4d.operator==	(	Matrix4d	left,
		Matrix4d	right
	)

static

Compares two instances for equality.

Parameters

left	The first instance.
right	The second instance.

Returns: True, if left equals right; false otherwise.

static Matrix4d OpenTK.Matrix4d.Perspective	(	double	fovy,
		double	aspect,
		double	near,
		double	far
	)

static

Build a projection matrix

Parameters

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

Returns: A projection matrix that transforms camera space to raster space

static Matrix4d OpenTK.Matrix4d.Rotate	(	Vector3d	axis,
		double	angle
	)

static

Build a rotation matrix to rotate about the given axis

Parameters

axis	the axis to rotate about
angle	angle in radians to rotate counter-clockwise (looking in the direction of the given axis)

Returns: A rotation matrix

static Matrix4d OpenTK.Matrix4d.Rotate ( Quaterniond q )

static

Build a rotation matrix from a quaternion

Parameters

q	the quaternion

Returns: A rotation matrix

static Matrix4d OpenTK.Matrix4d.RotateX ( double angle )

static

Build a rotation matrix that rotates about the x-axis

Parameters

angle angle in radians to rotate counter-clockwise around the x-axis

Returns: A rotation matrix

static Matrix4d OpenTK.Matrix4d.RotateY ( double angle )

static

Build a rotation matrix that rotates about the y-axis

Parameters

angle angle in radians to rotate counter-clockwise around the y-axis

Returns: A rotation matrix

static Matrix4d OpenTK.Matrix4d.RotateZ ( double angle )

static

Build a rotation matrix that rotates about the z-axis

Parameters

angle angle in radians to rotate counter-clockwise around the z-axis

Returns: A rotation matrix

static Matrix4d OpenTK.Matrix4d.Scale ( double scale )

static

Build a scaling matrix

Parameters

scale Single scale factor for x,y and z axes

Returns: A scaling matrix

static Matrix4d OpenTK.Matrix4d.Scale ( Vector3d scale )

static

Build a scaling matrix

Parameters

scale Scale factors for x,y and z axes

Returns: A scaling matrix

static Matrix4d OpenTK.Matrix4d.Scale	(	double	x,
		double	y,
		double	z
	)

static

Build a scaling matrix

Parameters

x	Scale factor for x-axis
y	Scale factor for y-axis
z	Scale factor for z-axis

Returns: A scaling matrix

static Matrix4d OpenTK.Matrix4d.Subtract	(	Matrix4d	left,
		Matrix4d	right
	)

static

Subtracts one instance from another.

Parameters

left	The left operand of the subraction.
right	The right operand of the subraction.

Returns: A new instance that is the result of the subraction.

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

static

Subtracts one instance from another.

Parameters

left	The left operand of the subraction.
right	The right operand of the subraction.
result	A new instance that is the result of the subraction.

override string OpenTK.Matrix4d.ToString ( )

Returns a System.String that represents the current Matrix44.

Returns

static Matrix4d OpenTK.Matrix4d.Translation ( Vector3d trans )

static

Build a translation matrix with the given translation

Parameters

trans The vector to translate along

Returns: A Translation matrix

static Matrix4d OpenTK.Matrix4d.Translation	(	double	x,
		double	y,
		double	z
	)

static

Build a translation matrix with the given translation

Parameters

x	X translation
y	Y translation
z	Z translation

Returns: A Translation matrix

void OpenTK.Matrix4d.Transpose ( )

Converts this instance into its transpose.

static Matrix4d OpenTK.Matrix4d.Transpose ( Matrix4d mat )

static

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose

Returns: The transpose of the given matrix

static void OpenTK.Matrix4d.Transpose	(	ref Matrix4d	mat,
		out Matrix4d	result
	)

static

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

Matrix4d OpenTK.Matrix4d.Identity = new Matrix4d(Vector4d.UnitX, Vector4d.UnitY, Vector4d.UnitZ, Vector4d.UnitW)

static

The identity matrix

Vector4d OpenTK.Matrix4d.Row0

Top row of the matrix

Vector4d OpenTK.Matrix4d.Row1

2nd row of the matrix

Vector4d OpenTK.Matrix4d.Row2

3rd row of the matrix

Vector4d OpenTK.Matrix4d.Row3

Bottom row of the matrix

Property Documentation

Vector4d OpenTK.Matrix4d.Column0

getset

The first column of this matrix

Vector4d OpenTK.Matrix4d.Column1

getset

The second column of this matrix

Vector4d OpenTK.Matrix4d.Column2

getset

The third column of this matrix

Vector4d OpenTK.Matrix4d.Column3

getset

The fourth column of this matrix

double OpenTK.Matrix4d.Determinant

get

The determinant of this matrix

Vector4d OpenTK.Matrix4d.Diagonal

getset

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

double OpenTK.Matrix4d.M11

getset

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

double OpenTK.Matrix4d.M12

getset

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

double OpenTK.Matrix4d.M13

getset

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

double OpenTK.Matrix4d.M14

getset

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

double OpenTK.Matrix4d.M21

getset

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

double OpenTK.Matrix4d.M22

getset

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

double OpenTK.Matrix4d.M23

getset

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

double OpenTK.Matrix4d.M24

getset

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

double OpenTK.Matrix4d.M31

getset

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

double OpenTK.Matrix4d.M32

getset

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

double OpenTK.Matrix4d.M33

getset

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

double OpenTK.Matrix4d.M34

getset

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

double OpenTK.Matrix4d.M41

getset

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

double OpenTK.Matrix4d.M42

getset

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

double OpenTK.Matrix4d.M43

getset

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

double OpenTK.Matrix4d.M44

getset

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

double OpenTK.Matrix4d.this[int rowIndex, int columnIndex]

getset

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

double OpenTK.Matrix4d.Trace

get

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

Public Member Functions

Static Public Member Functions

Public Attributes

Static Public Attributes

Properties

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

Property Documentation