OpenTK.Matrix4x3 Struct Reference

Represents a 3x4 matrix. More...

Inherits IEquatable< Matrix4x3 >.

Public Member Functions
	Matrix4x3 (Vector3 row0, Vector3 row1, Vector3 row2, Vector3 row3)
	Constructs a new instance. More...
	Matrix4x3 (float m00, float m01, float m02, float m10, float m11, float m12, float m20, float m21, float m22, float m30, float m31, float m32)
	Constructs a new instance. More...
void	Invert ()
	Converts this instance into it's inverse by inverting the upper-left 3x3 and replacing Row3. More...
override string	ToString ()
	Returns a System.String that represents the current Matrix4x3. 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 (Matrix4x3 other)
	Indicates whether the current matrix is equal to another matrix. More...

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3 axis, float angle, out Matrix4x3 result)
	Build a rotation matrix from the specified axis/angle rotation. More...
static Matrix4x3	CreateFromAxisAngle (Vector3 axis, float angle)
	Build a rotation matrix from the specified axis/angle rotation. More...
static void	CreateFromQuaternion (ref Quaternion q, out Matrix4x3 result)
	Builds a rotation matrix from a quaternion. More...
static Matrix4x3	CreateFromQuaternion (Quaternion q)
	Builds a rotation matrix from a quaternion. More...
static void	CreateRotationX (float angle, out Matrix4x3 result)
	Builds a rotation matrix for a rotation around the x-axis. More...
static Matrix4x3	CreateRotationX (float angle)
	Builds a rotation matrix for a rotation around the x-axis. More...
static void	CreateRotationY (float angle, out Matrix4x3 result)
	Builds a rotation matrix for a rotation around the y-axis. More...
static Matrix4x3	CreateRotationY (float angle)
	Builds a rotation matrix for a rotation around the y-axis. More...
static void	CreateRotationZ (float angle, out Matrix4x3 result)
	Builds a rotation matrix for a rotation around the z-axis. More...
static Matrix4x3	CreateRotationZ (float angle)
	Builds a rotation matrix for a rotation around the z-axis. More...
static void	CreateTranslation (float x, float y, float z, out Matrix4x3 result)
	Creates a translation matrix. More...
static void	CreateTranslation (ref Vector3 vector, out Matrix4x3 result)
	Creates a translation matrix. More...
static Matrix4x3	CreateTranslation (float x, float y, float z)
	Creates a translation matrix. More...
static Matrix4x3	CreateTranslation (Vector3 vector)
	Creates a translation matrix. More...
static Matrix4x3	CreateScale (float scale)
	Build a scaling matrix More...
static Matrix4x3	CreateScale (Vector3 scale)
	Build a scaling matrix More...
static Matrix4x3	CreateScale (float x, float y, float z)
	Build a scaling matrix More...
static Matrix4	Mult (Matrix4x3 left, Matrix3x4 right)
	This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances. More...
static void	Mult (ref Matrix4x3 left, ref Matrix3x4 right, out Matrix4 result)
	This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances. More...
static Matrix4x3	Mult (Matrix4x3 left, Matrix4x3 right)
	Multiplies two instances. More...
static void	Mult (ref Matrix4x3 left, ref Matrix4x3 right, out Matrix4x3 result)
	This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances. More...
static Matrix4x3	Mult (Matrix4x3 left, float right)
	Multiplies an instance by a scalar. More...
static void	Mult (ref Matrix4x3 left, float right, out Matrix4x3 result)
	Multiplies an instance by a scalar. More...
static Matrix4x3	Add (Matrix4x3 left, Matrix4x3 right)
	Adds two instances. More...
static void	Add (ref Matrix4x3 left, ref Matrix4x3 right, out Matrix4x3 result)
	Adds two instances. More...
static Matrix4x3	Subtract (Matrix4x3 left, Matrix4x3 right)
	Subtracts one instance from another. More...
static void	Subtract (ref Matrix4x3 left, ref Matrix4x3 right, out Matrix4x3 result)
	Subtracts one instance from another. More...
static Matrix4x3	Invert (Matrix4x3 mat)
	Calculate the inverse of the given matrix More...
static void	Invert (ref Matrix4x3 mat, out Matrix4x3 result)
	Calculate the inverse of the given matrix More...
static Matrix3x4	Transpose (Matrix4x3 mat)
	Calculate the transpose of the given matrix More...
static void	Transpose (ref Matrix4x3 mat, out Matrix3x4 result)
	Calculate the transpose of the given matrix More...
static Matrix4	operator* (Matrix4x3 left, Matrix3x4 right)
	Matrix multiplication More...
static Matrix4x3	operator* (Matrix4x3 left, Matrix4x3 right)
	Matrix multiplication More...
static Matrix4x3	operator* (Matrix4x3 left, float right)
	Matrix-scalar multiplication More...
static Matrix4x3	operator+ (Matrix4x3 left, Matrix4x3 right)
	Matrix addition More...
static Matrix4x3	operator- (Matrix4x3 left, Matrix4x3 right)
	Matrix subtraction More...
static bool	operator== (Matrix4x3 left, Matrix4x3 right)
	Compares two instances for equality. More...
static bool	operator!= (Matrix4x3 left, Matrix4x3 right)
	Compares two instances for inequality. More...

Public Attributes
Vector3	Row0
	Top row of the matrix More...
Vector3	Row1
	2nd row of the matrix More...
Vector3	Row2
	3rd row of the matrix More...
Vector3	Row3
	Bottom row of the matrix More...

Static Public Attributes
static readonly Matrix4x3	Zero = new Matrix4x3(Vector3.Zero, Vector3.Zero, Vector3.Zero, Vector3.Zero)
	The zero matrix More...

Properties
Vector4	Column0 [get]
	Gets the first column of this matrix. More...
Vector4	Column1 [get]
	Gets the second column of this matrix. More...
Vector4	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...
float	M41 [get, set]
	Gets or sets the value at row 4, column 1 of this instance. More...
float	M42 [get, set]
	Gets or sets the value at row 4, column 2 of this instance. More...
float	M43 [get, set]
	Gets or sets the value at row 4, 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 3x4 matrix.

Constructor & Destructor Documentation

OpenTK.Matrix4x3.Matrix4x3	(	Vector3	row0,
		Vector3	row1,
		Vector3	row2,
		Vector3	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.Matrix4x3.Matrix4x3	(	float	m00,
		float	m01,
		float	m02,
		float	m10,
		float	m11,
		float	m12,
		float	m20,
		float	m21,
		float	m22,
		float	m30,
		float	m31,
		float	m32
	)

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.
m30	First item of the fourth row of the matrix.
m31	Second item of the fourth row of the matrix.
m32	Third item of the fourth row of the matrix.

Member Function Documentation

static Matrix4x3 OpenTK.Matrix4x3.Add ( Matrix4x3  left, Matrix4x3  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.Matrix4x3.Add ( ref Matrix4x3  left, ref Matrix4x3  right, out Matrix4x3  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.

static void OpenTK.Matrix4x3.CreateFromAxisAngle ( Vector3  axis, float  angle, out Matrix4x3  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 Matrix4x3 OpenTK.Matrix4x3.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.Matrix4x3.CreateFromQuaternion ( ref Quaternion  q, out Matrix4x3  result  )

static

Builds a rotation matrix from a quaternion.

Parameters

q	The quaternion to rotate by.
result	A matrix instance.

static Matrix4x3 OpenTK.Matrix4x3.CreateFromQuaternion ( Quaternion  q )

static

Builds a rotation matrix from a quaternion.

Parameters

q	The quaternion to rotate by.

Returns

A matrix instance.

static void OpenTK.Matrix4x3.CreateRotationX ( float  angle, out Matrix4x3  result  )

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4 instance.

static Matrix4x3 OpenTK.Matrix4x3.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 Matrix4 instance.

static void OpenTK.Matrix4x3.CreateRotationY ( float  angle, out Matrix4x3  result  )

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4 instance.

static Matrix4x3 OpenTK.Matrix4x3.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 Matrix4 instance.

static void OpenTK.Matrix4x3.CreateRotationZ ( float  angle, out Matrix4x3  result  )

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4 instance.

static Matrix4x3 OpenTK.Matrix4x3.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 Matrix4 instance.

static Matrix4x3 OpenTK.Matrix4x3.CreateScale ( float  scale )

static

Build a scaling matrix

Parameters

scale

Single scale factor for x,y and z axes

Returns

A scaling matrix

static Matrix4x3 OpenTK.Matrix4x3.CreateScale ( Vector3  scale )

static

Build a scaling matrix

Parameters

scale

Scale factors for x,y and z axes

Returns

A scaling matrix

static Matrix4x3 OpenTK.Matrix4x3.CreateScale ( float  x, float  y, float  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 void OpenTK.Matrix4x3.CreateTranslation ( float  x, float  y, float  z, out Matrix4x3  result  )

static

Creates a translation matrix.

Parameters

x	X translation.
y	Y translation.
z	Z translation.
result	The resulting Matrix4 instance.

static void OpenTK.Matrix4x3.CreateTranslation ( ref Vector3  vector, out Matrix4x3  result  )

static

Creates a translation matrix.

Parameters

vector	The translation vector.
result	The resulting Matrix4 instance.

static Matrix4x3 OpenTK.Matrix4x3.CreateTranslation ( float  x, float  y, float  z  )

static

Creates a translation matrix.

Parameters

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

Returns

The resulting Matrix4 instance.

static Matrix4x3 OpenTK.Matrix4x3.CreateTranslation ( Vector3  vector )

static

Creates a translation matrix.

Parameters

vector

The translation vector.

Returns

The resulting Matrix4 instance.

override bool OpenTK.Matrix4x3.Equals

(

object

obj

)

Indicates whether this instance and a specified object are equal.

Parameters

obj	The object to compare tresult.

Returns

True if the instances are equal; false otherwise.

bool OpenTK.Matrix4x3.Equals

(

Matrix4x3

other

)

Indicates whether the current matrix is equal to another matrix.

Parameters

other

An matrix to compare with this matrix.

Returns

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

override int OpenTK.Matrix4x3.GetHashCode

(

)

Returns the hashcode for this instance.

Returns

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

void OpenTK.Matrix4x3.Invert

(

)

Converts this instance into it's inverse by inverting the upper-left 3x3 and replacing Row3.

static Matrix4x3 OpenTK.Matrix4x3.Invert ( Matrix4x3  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.

static void OpenTK.Matrix4x3.Invert ( ref Matrix4x3  mat, out Matrix4x3  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 Matrix4 is singular.

static Matrix4 OpenTK.Matrix4x3.Mult ( Matrix4x3  left, Matrix3x4  right  )

static

This isn't quite a multiply, but the result may be useful in some situations. 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.Matrix4x3.Mult ( ref Matrix4x3  left, ref Matrix3x4  right, out Matrix4  result  )

static

This isn't quite a multiply, but the result may be useful in some situations. 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 Matrix4x3 OpenTK.Matrix4x3.Mult ( Matrix4x3  left, Matrix4x3  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.Matrix4x3.Mult ( ref Matrix4x3  left, ref Matrix4x3  right, out Matrix4x3  result  )

static

This isn't quite a multiply, but the result may be useful in some situations. 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 Matrix4x3 OpenTK.Matrix4x3.Mult ( Matrix4x3  left, float  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.Matrix4x3.Mult ( ref Matrix4x3  left, float  right, out Matrix4x3  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

static bool OpenTK.Matrix4x3.operator!= ( Matrix4x3  left, Matrix4x3  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 Matrix4 OpenTK.Matrix4x3.operator* ( Matrix4x3  left, Matrix3x4  right  )

static

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4 which holds the result of the multiplication

static Matrix4x3 OpenTK.Matrix4x3.operator* ( Matrix4x3  left, Matrix4x3  right  )

static

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3 which holds the result of the multiplication

static Matrix4x3 OpenTK.Matrix4x3.operator* ( Matrix4x3  left, float  right  )

static

Matrix-scalar multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3 which holds the result of the multiplication

static Matrix4x3 OpenTK.Matrix4x3.operator+ ( Matrix4x3  left, Matrix4x3  right  )

static

Matrix addition

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3 which holds the result of the addition

static Matrix4x3 OpenTK.Matrix4x3.operator- ( Matrix4x3  left, Matrix4x3  right  )

static

Matrix subtraction

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3 which holds the result of the subtraction

static bool OpenTK.Matrix4x3.operator== ( Matrix4x3  left, Matrix4x3  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 Matrix4x3 OpenTK.Matrix4x3.Subtract ( Matrix4x3  left, Matrix4x3  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.Matrix4x3.Subtract ( ref Matrix4x3  left, ref Matrix4x3  right, out Matrix4x3  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.Matrix4x3.ToString

(

)

Returns a System.String that represents the current Matrix4x3.

Returns

The string representation of the matrix.

static Matrix3x4 OpenTK.Matrix4x3.Transpose ( Matrix4x3  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.Matrix4x3.Transpose ( ref Matrix4x3  mat, out Matrix3x4  result  )

static

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

Vector3 OpenTK.Matrix4x3.Row0

Top row of the matrix

Vector3 OpenTK.Matrix4x3.Row1

2nd row of the matrix

Vector3 OpenTK.Matrix4x3.Row2

3rd row of the matrix

Vector3 OpenTK.Matrix4x3.Row3

Bottom row of the matrix

readonly Matrix4x3 OpenTK.Matrix4x3.Zero = new Matrix4x3(Vector3.Zero, Vector3.Zero, Vector3.Zero, Vector3.Zero)

static

The zero matrix

Property Documentation

Vector4 OpenTK.Matrix4x3.Column0

get

Gets the first column of this matrix.

Vector4 OpenTK.Matrix4x3.Column1

get

Gets the second column of this matrix.

Vector4 OpenTK.Matrix4x3.Column2

get

Gets the third column of this matrix.

Vector3 OpenTK.Matrix4x3.Diagonal

getset

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

float OpenTK.Matrix4x3.M11

getset

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

float OpenTK.Matrix4x3.M12

getset

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

float OpenTK.Matrix4x3.M13

getset

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

float OpenTK.Matrix4x3.M21

getset

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

float OpenTK.Matrix4x3.M22

getset

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

float OpenTK.Matrix4x3.M23

getset

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

float OpenTK.Matrix4x3.M31

getset

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

float OpenTK.Matrix4x3.M32

getset

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

float OpenTK.Matrix4x3.M33

getset

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

float OpenTK.Matrix4x3.M41

getset

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

float OpenTK.Matrix4x3.M42

getset

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

float OpenTK.Matrix4x3.M43

getset

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

float OpenTK.Matrix4x3.this[int rowIndex, int columnIndex]

getset

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

float OpenTK.Matrix4x3.Trace

get

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