Represents a 3x3 matrix containing 3D rotation and scale with double-precision components. More...

Inherits IEquatable< Matrix3d >.

Public Member Functions
	Matrix3d (Vector3d row0, Vector3d row1, Vector3d row2)
	Constructs a new instance. More...

	Matrix3d (double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22)
	Constructs a new instance. More...

	Matrix3d (Matrix4d matrix)
	Constructs a new instance. More...

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

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

Matrix3d	Normalized ()
	Returns a normalised copy of this instance. More...

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

Matrix3d	Inverted ()
	Returns an inverted copy of this instance. More...

Matrix3d	ClearScale ()
	Returns a copy of this Matrix3 without scale. More...

Matrix3d	ClearRotation ()
	Returns a copy of this Matrix3 without rotation. 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...

override string	ToString ()
	Returns a System.String that represents the current Matrix3d. 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 (Matrix3d other)
	Indicates whether the current matrix is equal to another matrix. More...

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3d axis, double angle, out Matrix3d result)
	Build a rotation matrix from the specified axis/angle rotation. More...

static Matrix3d	CreateFromAxisAngle (Vector3d axis, double angle)
	Build a rotation matrix from the specified axis/angle rotation. More...

static void	CreateFromQuaternion (ref Quaterniond q, out Matrix3d result)
	Build a rotation matrix from the specified quaternion. More...

static Matrix3d	CreateFromQuaternion (Quaterniond q)
	Build a rotation matrix from the specified quaternion. More...

static void	CreateRotationX (double angle, out Matrix3d result)
	Builds a rotation matrix for a rotation around the x-axis. More...

static Matrix3d	CreateRotationX (double angle)
	Builds a rotation matrix for a rotation around the x-axis. More...

static void	CreateRotationY (double angle, out Matrix3d result)
	Builds a rotation matrix for a rotation around the y-axis. More...

static Matrix3d	CreateRotationY (double angle)
	Builds a rotation matrix for a rotation around the y-axis. More...

static void	CreateRotationZ (double angle, out Matrix3d result)
	Builds a rotation matrix for a rotation around the z-axis. More...

static Matrix3d	CreateRotationZ (double angle)
	Builds a rotation matrix for a rotation around the z-axis. More...

static Matrix3d	CreateScale (double scale)
	Creates a scale matrix. More...

static Matrix3d	CreateScale (Vector3d scale)
	Creates a scale matrix. More...

static Matrix3d	CreateScale (double x, double y, double z)
	Creates a scale matrix. More...

static void	CreateScale (double scale, out Matrix3d result)
	Creates a scale matrix. More...

static void	CreateScale (ref Vector3d scale, out Matrix3d result)
	Creates a scale matrix. More...

static void	CreateScale (double x, double y, double z, out Matrix3d result)
	Creates a scale matrix. More...

static Matrix3d	Mult (Matrix3d left, Matrix3d right)
	Multiplies two instances. More...

static void	Mult (ref Matrix3d left, ref Matrix3d right, out Matrix3d result)
	Multiplies two instances. More...

static void	Invert (ref Matrix3d mat, out Matrix3d result)
	Calculate the inverse of the given matrix More...

static Matrix3d	Invert (Matrix3d mat)
	Calculate the inverse of the given matrix More...

static Matrix3d	Transpose (Matrix3d mat)
	Calculate the transpose of the given matrix More...

static void	Transpose (ref Matrix3d mat, out Matrix3d result)
	Calculate the transpose of the given matrix More...

static Matrix3d	operator* (Matrix3d left, Matrix3d right)
	Matrix multiplication More...

static bool	operator== (Matrix3d left, Matrix3d right)
	Compares two instances for equality. More...

static bool	operator!= (Matrix3d left, Matrix3d right)
	Compares two instances for inequality. More...

Public Attributes
Vector3d	Row0
	First row of the matrix. More...

Vector3d	Row1
	Second row of the matrix. More...

Vector3d	Row2
	Third row of the matrix. More...

Static Public Attributes
static Matrix3d	Identity = new Matrix3d(Vector3d.UnitX, Vector3d.UnitY, Vector3d.UnitZ)
	The identity matrix. More...

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

Vector3d	Column0 `[get]`
	Gets the first column of this matrix. More...

Vector3d	Column1 `[get]`
	Gets the second column of this matrix. More...

Vector3d	Column2 `[get]`
	Gets the third 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	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	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...

Vector3d	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 3x3 matrix containing 3D rotation and scale with double-precision components.

Constructor & Destructor Documentation

OpenTK.Matrix3d.Matrix3d	(	Vector3d	row0,
		Vector3d	row1,
		Vector3d	row2
	)

Constructs a new instance.

Parameters

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

OpenTK.Matrix3d.Matrix3d	(	double	m00,
		double	m01,
		double	m02,
		double	m10,
		double	m11,
		double	m12,
		double	m20,
		double	m21,
		double	m22
	)

Constructs a new instance.

Parameters

m00	First item of the first row of the matrix.
m01	Second item of the first row of the matrix.
m02	Third item of the first row of the matrix.
m10	First item of the second row of the matrix.
m11	Second item of the second row of the matrix.
m12	Third item of the second row of the matrix.
m20	First item of the third row of the matrix.
m21	Second item of the third row of the matrix.
m22	Third item of the third row of the matrix.

OpenTK.Matrix3d.Matrix3d ( Matrix4d matrix )

Constructs a new instance.

Parameters

matrix A Matrix4d to take the upper-left 3x3 from.

Member Function Documentation

Matrix3d OpenTK.Matrix3d.ClearRotation ( )

Returns a copy of this Matrix3 without rotation.

Matrix3d OpenTK.Matrix3d.ClearScale ( )

Returns a copy of this Matrix3 without scale.

static void OpenTK.Matrix3d.CreateFromAxisAngle	(	Vector3d	axis,
		double	angle,
		out Matrix3d	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 Matrix3d OpenTK.Matrix3d.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.Matrix3d.CreateFromQuaternion	(	ref Quaterniond	q,
		out Matrix3d	result
	)

static

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.
result	Matrix result.

static Matrix3d OpenTK.Matrix3d.CreateFromQuaternion ( Quaterniond q )

static

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.

Returns: A matrix instance.

static void OpenTK.Matrix3d.CreateRotationX	(	double	angle,
		out Matrix3d	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3d instance.

static Matrix3d OpenTK.Matrix3d.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 Matrix3d instance.

static void OpenTK.Matrix3d.CreateRotationY	(	double	angle,
		out Matrix3d	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3d instance.

static Matrix3d OpenTK.Matrix3d.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 Matrix3d instance.

static void OpenTK.Matrix3d.CreateRotationZ	(	double	angle,
		out Matrix3d	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3d instance.

static Matrix3d OpenTK.Matrix3d.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 Matrix3d instance.

static Matrix3d OpenTK.Matrix3d.CreateScale ( double scale )

static

Creates a scale matrix.

Parameters

scale Single scale factor for the x, y, and z axes.

Returns: A scale matrix.

static Matrix3d OpenTK.Matrix3d.CreateScale ( Vector3d scale )

static

Creates a scale matrix.

Parameters

scale Scale factors for the x, y, and z axes.

Returns: A scale matrix.

static Matrix3d OpenTK.Matrix3d.CreateScale	(	double	x,
		double	y,
		double	z
	)

static

Creates a scale matrix.

Parameters

x	Scale factor for the x axis.
y	Scale factor for the y axis.
z	Scale factor for the z axis.

Returns: A scale matrix.

static void OpenTK.Matrix3d.CreateScale	(	double	scale,
		out Matrix3d	result
	)

static

Creates a scale matrix.

Parameters

scale	Single scale factor for the x, y, and z axes.
result	A scale matrix.

static void OpenTK.Matrix3d.CreateScale	(	ref Vector3d	scale,
		out Matrix3d	result
	)

static

Creates a scale matrix.

Parameters

scale	Scale factors for the x, y, and z axes.
result	A scale matrix.

static void OpenTK.Matrix3d.CreateScale	(	double	x,
		double	y,
		double	z,
		out Matrix3d	result
	)

static

Creates a scale matrix.

Parameters

x	Scale factor for the x axis.
y	Scale factor for the y axis.
z	Scale factor for the z axis.
result	A scale matrix.

override bool OpenTK.Matrix3d.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.Matrix3d.Equals ( Matrix3d 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.

Quaterniond OpenTK.Matrix3d.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.Matrix3d.ExtractScale ( )

Returns the scale component of this instance.

override int OpenTK.Matrix3d.GetHashCode ( )

Returns the hashcode for this instance.

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

void OpenTK.Matrix3d.Invert ( )

Converts this instance into its inverse.

static void OpenTK.Matrix3d.Invert	(	ref Matrix3d	mat,
		out Matrix3d	result
	)

static

Calculate the inverse of the given matrix

Parameters

mat	The matrix to invert
result	The inverse of the given matrix if it has one, or the input if it is singular

Exceptions

InvalidOperationException Thrown if the Matrix3d is singular.

static Matrix3d OpenTK.Matrix3d.Invert ( Matrix3d 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 Matrix4 is singular.

Matrix3d OpenTK.Matrix3d.Inverted ( )

Returns an inverted copy of this instance.

static Matrix3d OpenTK.Matrix3d.Mult	(	Matrix3d	left,
		Matrix3d	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.Matrix3d.Mult	(	ref Matrix3d	left,
		ref Matrix3d	right,
		out Matrix3d	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

void OpenTK.Matrix3d.Normalize ( )

Divides each element in the Matrix by the Determinant.

Matrix3d OpenTK.Matrix3d.Normalized ( )

Returns a normalised copy of this instance.

static bool OpenTK.Matrix3d.operator!=	(	Matrix3d	left,
		Matrix3d	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 Matrix3d OpenTK.Matrix3d.operator*	(	Matrix3d	left,
		Matrix3d	right
	)

static

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns: A new Matrix3d which holds the result of the multiplication

static bool OpenTK.Matrix3d.operator==	(	Matrix3d	left,
		Matrix3d	right
	)

static

Compares two instances for equality.

Parameters

left	The first instance.
right	The second instance.

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

override string OpenTK.Matrix3d.ToString ( )

Returns a System.String that represents the current Matrix3d.

Returns: The string representation of the matrix.

void OpenTK.Matrix3d.Transpose ( )

Converts this instance into its transpose.

static Matrix3d OpenTK.Matrix3d.Transpose ( Matrix3d 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.Matrix3d.Transpose	(	ref Matrix3d	mat,
		out Matrix3d	result
	)

static

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

Matrix3d OpenTK.Matrix3d.Identity = new Matrix3d(Vector3d.UnitX, Vector3d.UnitY, Vector3d.UnitZ)

static

The identity matrix.

Vector3d OpenTK.Matrix3d.Row0

First row of the matrix.

Vector3d OpenTK.Matrix3d.Row1

Second row of the matrix.

Vector3d OpenTK.Matrix3d.Row2

Third row of the matrix.

Property Documentation

Vector3d OpenTK.Matrix3d.Column0

get

Gets the first column of this matrix.

Vector3d OpenTK.Matrix3d.Column1

get

Gets the second column of this matrix.

Vector3d OpenTK.Matrix3d.Column2

get

Gets the third column of this matrix.

double OpenTK.Matrix3d.Determinant

get

Gets the determinant of this matrix.

Vector3d OpenTK.Matrix3d.Diagonal

getset

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

double OpenTK.Matrix3d.M11

getset

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

double OpenTK.Matrix3d.M12

getset

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

double OpenTK.Matrix3d.M13

getset

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

double OpenTK.Matrix3d.M21

getset

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

double OpenTK.Matrix3d.M22

getset

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

double OpenTK.Matrix3d.M23

getset

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

double OpenTK.Matrix3d.M31

getset

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

double OpenTK.Matrix3d.M32

getset

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

double OpenTK.Matrix3d.M33

getset

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

double OpenTK.Matrix3d.this[int rowIndex, int columnIndex]

getset

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

double OpenTK.Matrix3d.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