OpenTK.Matrix4x3d Struct Reference

Represents a 3x4 matrix. More...

Inherits IEquatable< Matrix4x3d >.

Public Member Functions
	Matrix4x3d (Vector3d row0, Vector3d row1, Vector3d row2, Vector3d row3)
	Constructs a new instance. More...
	Matrix4x3d (double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22, double m30, double m31, double m32)
	Constructs a new instance. More...
void	Invert ()
	Converts this instance into its inverse. More...
override string	ToString ()
	Returns a System.String that represents the current Matrix4x3d. 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 (Matrix4x3d other)
	Indicates whether the current matrix is equal to another matrix. More...

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3d axis, double angle, out Matrix4x3d result)
	Build a rotation matrix from the specified axis/angle rotation. More...
static Matrix4x3d	CreateFromAxisAngle (Vector3d axis, double angle)
	Build a rotation matrix from the specified axis/angle rotation. More...
static void	CreateFromQuaternion (ref Quaternion q, out Matrix4x3d result)
	Builds a rotation matrix from a quaternion. More...
static Matrix4x3d	CreateFromQuaternion (Quaternion q)
	Builds a rotation matrix from a quaternion. More...
static void	CreateRotationX (double angle, out Matrix4x3d result)
	Builds a rotation matrix for a rotation around the x-axis. More...
static Matrix4x3d	CreateRotationX (double angle)
	Builds a rotation matrix for a rotation around the x-axis. More...
static void	CreateRotationY (double angle, out Matrix4x3d result)
	Builds a rotation matrix for a rotation around the y-axis. More...
static Matrix4x3d	CreateRotationY (double angle)
	Builds a rotation matrix for a rotation around the y-axis. More...
static void	CreateRotationZ (double angle, out Matrix4x3d result)
	Builds a rotation matrix for a rotation around the z-axis. More...
static Matrix4x3d	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 Matrix4x3d result)
	Creates a translation matrix. More...
static void	CreateTranslation (ref Vector3d vector, out Matrix4x3d result)
	Creates a translation matrix. More...
static Matrix4x3d	CreateTranslation (double x, double y, double z)
	Creates a translation matrix. More...
static Matrix4x3d	CreateTranslation (Vector3d vector)
	Creates a translation matrix. More...
static Matrix4x3d	CreateScale (double scale)
	Build a scaling matrix More...
static Matrix4x3d	CreateScale (Vector3d scale)
	Build a scaling matrix More...
static Matrix4x3d	CreateScale (double x, double y, double z)
	Build a scaling matrix More...
static Matrix4d	Mult (Matrix4x3d left, Matrix3x4d right)
	This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances. More...
static void	Mult (ref Matrix4x3d left, ref Matrix3x4d right, out Matrix4d result)
	This isn't quite a multiply, but the result may be useful in some situations. Multiplies two instances. More...
static Matrix4x3d	Mult (Matrix4x3d left, Matrix4x3d right)
	Multiplies two instances. More...
static void	Mult (ref Matrix4x3d left, ref Matrix4x3d right, out Matrix4x3d result)
	Multiplies two instances. More...
static Matrix4x3d	Mult (Matrix4x3d left, double right)
	Multiplies an instance by a scalar. More...
static void	Mult (ref Matrix4x3d left, double right, out Matrix4x3d result)
	Multiplies an instance by a scalar. More...
static Matrix4x3d	Add (Matrix4x3d left, Matrix4x3d right)
	Adds two instances. More...
static void	Add (ref Matrix4x3d left, ref Matrix4x3d right, out Matrix4x3d result)
	Adds two instances. More...
static Matrix4x3d	Subtract (Matrix4x3d left, Matrix4x3d right)
	Subtracts one instance from another. More...
static void	Subtract (ref Matrix4x3d left, ref Matrix4x3d right, out Matrix4x3d result)
	Subtracts one instance from another. More...
static Matrix4x3d	Invert (Matrix4x3d mat)
	Calculate the inverse of the given matrix More...
static void	Invert (ref Matrix4x3d mat, out Matrix4x3d result)
	Calculate the inverse of the given matrix More...
static Matrix3x4d	Transpose (Matrix4x3d mat)
	Calculate the transpose of the given matrix More...
static void	Transpose (ref Matrix4x3d mat, out Matrix3x4d result)
	Calculate the transpose of the given matrix More...
static Matrix4d	operator* (Matrix4x3d left, Matrix3x4d right)
	Matrix multiplication More...
static Matrix4x3d	operator* (Matrix4x3d left, Matrix4x3d right)
	Matrix multiplication More...
static Matrix4x3d	operator* (Matrix4x3d left, double right)
	Matrix-scalar multiplication More...
static Matrix4x3d	operator+ (Matrix4x3d left, Matrix4x3d right)
	Matrix addition More...
static Matrix4x3d	operator- (Matrix4x3d left, Matrix4x3d right)
	Matrix subtraction More...
static bool	operator== (Matrix4x3d left, Matrix4x3d right)
	Compares two instances for equality. More...
static bool	operator!= (Matrix4x3d left, Matrix4x3d right)
	Compares two instances for inequality. More...

Public Attributes
Vector3d	Row0
	Top row of the matrix More...
Vector3d	Row1
	2nd row of the matrix More...
Vector3d	Row2
	3rd row of the matrix More...
Vector3d	Row3
	Bottom row of the matrix More...

Static Public Attributes
static Matrix4x3d	Zero = new Matrix4x3d(Vector3d.Zero, Vector3d.Zero, Vector3d.Zero, Vector3d.Zero)
	The zero matrix More...

Properties
Vector4d	Column0 [get]
	Gets the first column of this matrix. More...
Vector4d	Column1 [get]
	Gets the second column of this matrix. More...
Vector4d	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...
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...
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 3x4 matrix.

Constructor & Destructor Documentation

OpenTK.Matrix4x3d.Matrix4x3d	(	Vector3d	row0,
		Vector3d	row1,
		Vector3d	row2,
		Vector3d	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.Matrix4x3d.Matrix4x3d	(	double	m00,
		double	m01,
		double	m02,
		double	m10,
		double	m11,
		double	m12,
		double	m20,
		double	m21,
		double	m22,
		double	m30,
		double	m31,
		double	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 Matrix4x3d OpenTK.Matrix4x3d.Add ( Matrix4x3d  left, Matrix4x3d  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.Matrix4x3d.Add ( ref Matrix4x3d  left, ref Matrix4x3d  right, out Matrix4x3d  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.Matrix4x3d.CreateFromAxisAngle ( Vector3d  axis, double  angle, out Matrix4x3d  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 Matrix4x3d OpenTK.Matrix4x3d.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.Matrix4x3d.CreateFromQuaternion ( ref Quaternion  q, out Matrix4x3d  result  )

static

Builds a rotation matrix from a quaternion.

Parameters

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

static Matrix4x3d OpenTK.Matrix4x3d.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.Matrix4x3d.CreateRotationX ( double  angle, out Matrix4x3d  result  )

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4dinstance.

static Matrix4x3d OpenTK.Matrix4x3d.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 Matrix4dinstance.

static void OpenTK.Matrix4x3d.CreateRotationY ( double  angle, out Matrix4x3d  result  )

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4dinstance.

static Matrix4x3d OpenTK.Matrix4x3d.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 Matrix4dinstance.

static void OpenTK.Matrix4x3d.CreateRotationZ ( double  angle, out Matrix4x3d  result  )

static

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

Parameters

angle	The counter-clockwise angle in radians.
result	The resulting Matrix4dinstance.

static Matrix4x3d OpenTK.Matrix4x3d.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 Matrix4dinstance.

static Matrix4x3d OpenTK.Matrix4x3d.CreateScale ( double  scale )

static

Build a scaling matrix

Parameters

scale

Single scale factor for x,y and z axes

Returns

A scaling matrix

static Matrix4x3d OpenTK.Matrix4x3d.CreateScale ( Vector3d  scale )

static

Build a scaling matrix

Parameters

scale

Scale factors for x,y and z axes

Returns

A scaling matrix

static Matrix4x3d OpenTK.Matrix4x3d.CreateScale ( 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 void OpenTK.Matrix4x3d.CreateTranslation ( double  x, double  y, double  z, out Matrix4x3d  result  )

static

Creates a translation matrix.

Parameters

x	X translation.
y	Y translation.
z	Z translation.
result	The resulting Matrix4dinstance.

static void OpenTK.Matrix4x3d.CreateTranslation ( ref Vector3d  vector, out Matrix4x3d  result  )

static

Creates a translation matrix.

Parameters

vector	The translation vector.
result	The resulting Matrix4dinstance.

static Matrix4x3d OpenTK.Matrix4x3d.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 Matrix4dinstance.

static Matrix4x3d OpenTK.Matrix4x3d.CreateTranslation ( Vector3d  vector )

static

Creates a translation matrix.

Parameters

vector

The translation vector.

Returns

The resulting Matrix4dinstance.

override bool OpenTK.Matrix4x3d.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.Matrix4x3d.Equals

(

Matrix4x3d

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.Matrix4x3d.GetHashCode

(

)

Returns the hashcode for this instance.

Returns

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

void OpenTK.Matrix4x3d.Invert

(

)

Converts this instance into its inverse.

static Matrix4x3d OpenTK.Matrix4x3d.Invert ( Matrix4x3d  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.Matrix4x3d.Invert ( ref Matrix4x3d  mat, out Matrix4x3d  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 Matrix4d OpenTK.Matrix4x3d.Mult ( Matrix4x3d  left, Matrix3x4d  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.Matrix4x3d.Mult ( ref Matrix4x3d  left, ref Matrix3x4d  right, out Matrix4d  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 Matrix4x3d OpenTK.Matrix4x3d.Mult ( Matrix4x3d  left, Matrix4x3d  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.Matrix4x3d.Mult ( ref Matrix4x3d  left, ref Matrix4x3d  right, out Matrix4x3d  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 Matrix4x3d OpenTK.Matrix4x3d.Mult ( Matrix4x3d  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.Matrix4x3d.Mult ( ref Matrix4x3d  left, double  right, out Matrix4x3d  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.Matrix4x3d.operator!= ( Matrix4x3d  left, Matrix4x3d  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.Matrix4x3d.operator* ( Matrix4x3d  left, Matrix3x4d  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 Matrix4x3d OpenTK.Matrix4x3d.operator* ( Matrix4x3d  left, Matrix4x3d  right  )

static

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3d which holds the result of the multiplication

static Matrix4x3d OpenTK.Matrix4x3d.operator* ( Matrix4x3d  left, double  right  )

static

Matrix-scalar multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3d which holds the result of the multiplication

static Matrix4x3d OpenTK.Matrix4x3d.operator+ ( Matrix4x3d  left, Matrix4x3d  right  )

static

Matrix addition

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3d which holds the result of the addition

static Matrix4x3d OpenTK.Matrix4x3d.operator- ( Matrix4x3d  left, Matrix4x3d  right  )

static

Matrix subtraction

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix4x3d which holds the result of the subtraction

static bool OpenTK.Matrix4x3d.operator== ( Matrix4x3d  left, Matrix4x3d  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 Matrix4x3d OpenTK.Matrix4x3d.Subtract ( Matrix4x3d  left, Matrix4x3d  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.Matrix4x3d.Subtract ( ref Matrix4x3d  left, ref Matrix4x3d  right, out Matrix4x3d  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.Matrix4x3d.ToString

(

)

Returns a System.String that represents the current Matrix4x3d.

Returns

The string representation of the matrix.

static Matrix3x4d OpenTK.Matrix4x3d.Transpose ( Matrix4x3d  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.Matrix4x3d.Transpose ( ref Matrix4x3d  mat, out Matrix3x4d  result  )

static

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

Vector3d OpenTK.Matrix4x3d.Row0

Top row of the matrix

Vector3d OpenTK.Matrix4x3d.Row1

2nd row of the matrix

Vector3d OpenTK.Matrix4x3d.Row2

3rd row of the matrix

Vector3d OpenTK.Matrix4x3d.Row3

Bottom row of the matrix

Matrix4x3d OpenTK.Matrix4x3d.Zero = new Matrix4x3d(Vector3d.Zero, Vector3d.Zero, Vector3d.Zero, Vector3d.Zero)

static

The zero matrix

Property Documentation

Vector4d OpenTK.Matrix4x3d.Column0

get

Gets the first column of this matrix.

Vector4d OpenTK.Matrix4x3d.Column1

get

Gets the second column of this matrix.

Vector4d OpenTK.Matrix4x3d.Column2

get

Gets the third column of this matrix.

Vector3d OpenTK.Matrix4x3d.Diagonal

getset

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

double OpenTK.Matrix4x3d.M11

getset

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

double OpenTK.Matrix4x3d.M12

getset

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

double OpenTK.Matrix4x3d.M13

getset

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

double OpenTK.Matrix4x3d.M21

getset

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

double OpenTK.Matrix4x3d.M22

getset

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

double OpenTK.Matrix4x3d.M23

getset

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

double OpenTK.Matrix4x3d.M31

getset

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

double OpenTK.Matrix4x3d.M32

getset

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

double OpenTK.Matrix4x3d.M33

getset

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

double OpenTK.Matrix4x3d.M41

getset

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

double OpenTK.Matrix4x3d.M42

getset

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

double OpenTK.Matrix4x3d.M43

getset

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

double OpenTK.Matrix4x3d.this[int rowIndex, int columnIndex]

getset

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

double OpenTK.Matrix4x3d.Trace

get

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