Represents a 3x3 matrix containing 3D rotation and scale. More...

Inherits IEquatable< Matrix3 >.

Public Member Functions
	Matrix3 (Vector3 row0, Vector3 row1, Vector3 row2)
	Constructs a new instance. More...

	Matrix3 (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22)
	Constructs a new instance. More...

	Matrix3 (Matrix4 matrix)
	Constructs a new instance. More...

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

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

Matrix3	Normalized ()
	Returns a normalised copy of this instance. More...

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

Matrix3	Inverted ()
	Returns an inverted copy of this instance. More...

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

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

Vector3	ExtractScale ()
	Returns the scale component of this instance. More...

Quaternion	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 (Matrix3 other)
	Indicates whether the current matrix is equal to another matrix. More...

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3 axis, float angle, out Matrix3 result)
	Build a rotation matrix from the specified axis/angle rotation. More...

static Matrix3	CreateFromAxisAngle (Vector3 axis, float angle)
	Build a rotation matrix from the specified axis/angle rotation. More...

static void	CreateFromQuaternion (ref Quaternion q, out Matrix3 result)
	Build a rotation matrix from the specified quaternion. More...

static Matrix3	CreateFromQuaternion (Quaternion q)
	Build a rotation matrix from the specified quaternion. More...

static void	CreateRotationX (float angle, out Matrix3 result)
	Builds a rotation matrix for a rotation around the x-axis. More...

static Matrix3	CreateRotationX (float angle)
	Builds a rotation matrix for a rotation around the x-axis. More...

static void	CreateRotationY (float angle, out Matrix3 result)
	Builds a rotation matrix for a rotation around the y-axis. More...

static Matrix3	CreateRotationY (float angle)
	Builds a rotation matrix for a rotation around the y-axis. More...

static void	CreateRotationZ (float angle, out Matrix3 result)
	Builds a rotation matrix for a rotation around the z-axis. More...

static Matrix3	CreateRotationZ (float angle)
	Builds a rotation matrix for a rotation around the z-axis. More...

static Matrix3	CreateScale (float scale)
	Creates a scale matrix. More...

static Matrix3	CreateScale (Vector3 scale)
	Creates a scale matrix. More...

static Matrix3	CreateScale (float x, float y, float z)
	Creates a scale matrix. More...

static void	CreateScale (float scale, out Matrix3 result)
	Creates a scale matrix. More...

static void	CreateScale (ref Vector3 scale, out Matrix3 result)
	Creates a scale matrix. More...

static void	CreateScale (float x, float y, float z, out Matrix3 result)
	Creates a scale matrix. More...

static Matrix3	Mult (Matrix3 left, Matrix3 right)
	Multiplies two instances. More...

static void	Mult (ref Matrix3 left, ref Matrix3 right, out Matrix3 result)
	Multiplies two instances. More...

static void	Invert (ref Matrix3 mat, out Matrix3 result)
	Calculate the inverse of the given matrix More...

static Matrix3	Invert (Matrix3 mat)
	Calculate the inverse of the given matrix More...

static Matrix3	Transpose (Matrix3 mat)
	Calculate the transpose of the given matrix More...

static void	Transpose (ref Matrix3 mat, out Matrix3 result)
	Calculate the transpose of the given matrix More...

static Matrix3	operator* (Matrix3 left, Matrix3 right)
	Matrix multiplication More...

static bool	operator== (Matrix3 left, Matrix3 right)
	Compares two instances for equality. More...

static bool	operator!= (Matrix3 left, Matrix3 right)
	Compares two instances for inequality. More...

Public Attributes
Vector3	Row0
	First row of the matrix. More...

Vector3	Row1
	Second row of the matrix. More...

Vector3	Row2
	Third row of the matrix. More...

Static Public Attributes
static readonly Matrix3	Identity = new Matrix3(Vector3.UnitX, Vector3.UnitY, Vector3.UnitZ)
	The identity matrix. More...

static readonly Matrix3	Zero = new Matrix3(Vector3.Zero, Vector3.Zero, Vector3.Zero)
	The zero matrix. More...

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

Vector3	Column0 `[get]`
	Gets the first column of this matrix. More...

Vector3	Column1 `[get]`
	Gets the second column of this matrix. More...

Vector3	Column2 `[get]`
	Gets the third column of this matrix. More...

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

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

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

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

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

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

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

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

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

Vector3	Diagonal `[get, set]`
	Gets or sets the values along the main diagonal of the matrix. More...

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

float	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.

Constructor & Destructor Documentation

OpenTK.Matrix3.Matrix3	(	Vector3	row0,
		Vector3	row1,
		Vector3	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.Matrix3.Matrix3	(	float	m00,
		float	m01,
		float	m02,
		float	m10,
		float	m11,
		float	m12,
		float	m20,
		float	m21,
		float	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.Matrix3.Matrix3 ( Matrix4 matrix )

Constructs a new instance.

Parameters

matrix A Matrix4 to take the upper-left 3x3 from.

Member Function Documentation

Matrix3 OpenTK.Matrix3.ClearRotation ( )

Returns a copy of this Matrix3 without rotation.

Matrix3 OpenTK.Matrix3.ClearScale ( )

Returns a copy of this Matrix3 without scale.

static void OpenTK.Matrix3.CreateFromAxisAngle	(	Vector3	axis,
		float	angle,
		out Matrix3	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 Matrix3 OpenTK.Matrix3.CreateFromAxisAngle	(	Vector3	axis,
		float	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.Matrix3.CreateFromQuaternion	(	ref Quaternion	q,
		out Matrix3	result
	)

static

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.
result	Matrix result.

static Matrix3 OpenTK.Matrix3.CreateFromQuaternion ( Quaternion q )

static

Build a rotation matrix from the specified quaternion.

Parameters

q	Quaternion to translate.

Returns: A matrix instance.

static void OpenTK.Matrix3.CreateRotationX	(	float	angle,
		out Matrix3	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3 instance.

static Matrix3 OpenTK.Matrix3.CreateRotationX ( float angle )

static

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

Parameters

angle The counter-clockwise angle in radians.

Returns: The resulting Matrix3 instance.

static void OpenTK.Matrix3.CreateRotationY	(	float	angle,
		out Matrix3	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3 instance.

static Matrix3 OpenTK.Matrix3.CreateRotationY ( float angle )

static

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

Parameters

angle The counter-clockwise angle in radians.

Returns: The resulting Matrix3 instance.

static void OpenTK.Matrix3.CreateRotationZ	(	float	angle,
		out Matrix3	result
	)

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix3 instance.

static Matrix3 OpenTK.Matrix3.CreateRotationZ ( float angle )

static

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

Parameters

angle The counter-clockwise angle in radians.

Returns: The resulting Matrix3 instance.

static Matrix3 OpenTK.Matrix3.CreateScale ( float scale )

static

Creates a scale matrix.

Parameters

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

Returns: A scale matrix.

static Matrix3 OpenTK.Matrix3.CreateScale ( Vector3 scale )

static

Creates a scale matrix.

Parameters

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

Returns: A scale matrix.

static Matrix3 OpenTK.Matrix3.CreateScale	(	float	x,
		float	y,
		float	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.Matrix3.CreateScale	(	float	scale,
		out Matrix3	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.Matrix3.CreateScale	(	ref Vector3	scale,
		out Matrix3	result
	)

static

Creates a scale matrix.

Parameters

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

static void OpenTK.Matrix3.CreateScale	(	float	x,
		float	y,
		float	z,
		out Matrix3	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.Matrix3.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.Matrix3.Equals ( Matrix3 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.

Quaternion OpenTK.Matrix3.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.

Vector3 OpenTK.Matrix3.ExtractScale ( )

Returns the scale component of this instance.

override int OpenTK.Matrix3.GetHashCode ( )

Returns the hashcode for this instance.

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

void OpenTK.Matrix3.Invert ( )

Converts this instance into its inverse.

static void OpenTK.Matrix3.Invert	(	ref Matrix3	mat,
		out Matrix3	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 Matrix3 is singular.

static Matrix3 OpenTK.Matrix3.Invert ( Matrix3 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.

Matrix3 OpenTK.Matrix3.Inverted ( )

Returns an inverted copy of this instance.

static Matrix3 OpenTK.Matrix3.Mult	(	Matrix3	left,
		Matrix3	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.Matrix3.Mult	(	ref Matrix3	left,
		ref Matrix3	right,
		out Matrix3	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.Matrix3.Normalize ( )

Divides each element in the Matrix by the Determinant.

Matrix3 OpenTK.Matrix3.Normalized ( )

Returns a normalised copy of this instance.

static bool OpenTK.Matrix3.operator!=	(	Matrix3	left,
		Matrix3	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 Matrix3 OpenTK.Matrix3.operator*	(	Matrix3	left,
		Matrix3	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.Matrix3.operator==	(	Matrix3	left,
		Matrix3	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.Matrix3.ToString ( )

Returns a System.String that represents the current Matrix3d.

Returns: The string representation of the matrix.

void OpenTK.Matrix3.Transpose ( )

Converts this instance into its transpose.

static Matrix3 OpenTK.Matrix3.Transpose ( Matrix3 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.Matrix3.Transpose	(	ref Matrix3	mat,
		out Matrix3	result
	)

static

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

readonly Matrix3 OpenTK.Matrix3.Identity = new Matrix3(Vector3.UnitX, Vector3.UnitY, Vector3.UnitZ)

static

The identity matrix.

Vector3 OpenTK.Matrix3.Row0

First row of the matrix.

Vector3 OpenTK.Matrix3.Row1

Second row of the matrix.

Vector3 OpenTK.Matrix3.Row2

Third row of the matrix.

readonly Matrix3 OpenTK.Matrix3.Zero = new Matrix3(Vector3.Zero, Vector3.Zero, Vector3.Zero)

static

The zero matrix.

Property Documentation

Vector3 OpenTK.Matrix3.Column0

get

Gets the first column of this matrix.

Vector3 OpenTK.Matrix3.Column1

get

Gets the second column of this matrix.

Vector3 OpenTK.Matrix3.Column2

get

Gets the third column of this matrix.

float OpenTK.Matrix3.Determinant

get

Gets the determinant of this matrix.

Vector3 OpenTK.Matrix3.Diagonal

getset

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

float OpenTK.Matrix3.M11

getset

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

float OpenTK.Matrix3.M12

getset

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

float OpenTK.Matrix3.M13

getset

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

float OpenTK.Matrix3.M21

getset

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

float OpenTK.Matrix3.M22

getset

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

float OpenTK.Matrix3.M23

getset

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

float OpenTK.Matrix3.M31

getset

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

float OpenTK.Matrix3.M32

getset

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

float OpenTK.Matrix3.M33

getset

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

float OpenTK.Matrix3.this[int rowIndex, int columnIndex]

getset

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

float OpenTK.Matrix3.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