OpenTK.Matrix3x4d Struct Reference

Represents a 3x4 Matrix More...

Inherits IEquatable< Matrix3x4d >.

Public Member Functions
	Matrix3x4d (Vector4d row0, Vector4d row1, Vector4d row2)
	Constructs a new instance. More...
	Matrix3x4d (double m00, double m01, double m02, double m03, double m10, double m11, double m12, double m13, double m20, double m21, double m22, double m23)
	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 Matrix4. 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 (Matrix3x4d other)
	Indicates whether the current matrix is equal to another matrix. More...

Static Public Member Functions
static void	CreateFromAxisAngle (Vector3d axis, double angle, out Matrix3x4d result)
	Build a rotation matrix from the specified axis/angle rotation. More...
static Matrix3x4d	CreateFromAxisAngle (Vector3d axis, double angle)
	Build a rotation matrix from the specified axis/angle rotation. More...
static void	CreateFromQuaternion (ref Quaternion q, out Matrix3x4d result)
	Builds a rotation matrix from a quaternion. More...
static Matrix3x4d	CreateFromQuaternion (Quaternion q)
	Builds a rotation matrix from a quaternion. More...
static void	CreateRotationX (double angle, out Matrix3x4d result)
	Builds a rotation matrix for a rotation around the x-axis. More...
static Matrix3x4d	CreateRotationX (double angle)
	Builds a rotation matrix for a rotation around the x-axis. More...
static void	CreateRotationY (double angle, out Matrix3x4d result)
	Builds a rotation matrix for a rotation around the y-axis. More...
static Matrix3x4d	CreateRotationY (double angle)
	Builds a rotation matrix for a rotation around the y-axis. More...
static void	CreateRotationZ (double angle, out Matrix3x4d result)
	Builds a rotation matrix for a rotation around the z-axis. More...
static Matrix3x4d	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 Matrix3x4d result)
	Creates a translation matrix. More...
static void	CreateTranslation (ref Vector3d vector, out Matrix3x4d result)
	Creates a translation matrix. More...
static Matrix3x4d	CreateTranslation (double x, double y, double z)
	Creates a translation matrix. More...
static Matrix3x4d	CreateTranslation (Vector3d vector)
	Creates a translation matrix. More...
static Matrix3x4d	CreateScale (double scale)
	Build a scaling matrix More...
static Matrix3x4d	CreateScale (Vector3d scale)
	Build a scaling matrix More...
static Matrix3x4d	CreateScale (double x, double y, double z)
	Build a scaling matrix More...
static Matrix3d	Mult (Matrix3x4d left, Matrix4x3d right)
	Multiplies two instances. More...
static void	Mult (ref Matrix3x4d left, ref Matrix4x3d right, out Matrix3d result)
	Multiplies two instances. More...
static Matrix3x4d	Mult (Matrix3x4d left, Matrix3x4d right)
	Multiplies two instances. More...
static void	Mult (ref Matrix3x4d left, ref Matrix3x4d right, out Matrix3x4d result)
	Multiplies two instances. More...
static Matrix3x4d	Mult (Matrix3x4d left, double right)
	Multiplies an instance by a scalar. More...
static void	Mult (ref Matrix3x4d left, double right, out Matrix3x4d result)
	Multiplies an instance by a scalar. More...
static Matrix3x4d	Add (Matrix3x4d left, Matrix3x4d right)
	Adds two instances. More...
static void	Add (ref Matrix3x4d left, ref Matrix3x4d right, out Matrix3x4d result)
	Adds two instances. More...
static Matrix3x4d	Subtract (Matrix3x4d left, Matrix3x4d right)
	Subtracts one instance from another. More...
static void	Subtract (ref Matrix3x4d left, ref Matrix3x4d right, out Matrix3x4d result)
	Subtracts one instance from another. More...
static Matrix3x4d	Invert (Matrix3x4d mat)
	Calculate the inverse of the given matrix More...
static void	Invert (ref Matrix3x4d mat, out Matrix3x4d result)
	Calculate the inverse of the given matrix More...
static Matrix4x3d	Transpose (Matrix3x4d mat)
	Calculate the transpose of the given matrix More...
static void	Transpose (ref Matrix3x4d mat, out Matrix4x3d result)
	Calculate the transpose of the given matrix More...
static Matrix3d	operator* (Matrix3x4d left, Matrix4x3d right)
	Matrix multiplication More...
static Matrix3x4d	operator* (Matrix3x4d left, Matrix3x4d right)
	Matrix multiplication More...
static Matrix3x4d	operator* (Matrix3x4d left, double right)
	Matrix-scalar multiplication More...
static Matrix3x4d	operator+ (Matrix3x4d left, Matrix3x4d right)
	Matrix addition More...
static Matrix3x4d	operator- (Matrix3x4d left, Matrix3x4d right)
	Matrix subtraction More...
static bool	operator== (Matrix3x4d left, Matrix3x4d right)
	Compares two instances for equality. More...
static bool	operator!= (Matrix3x4d left, Matrix3x4d 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
	Bottom row of the matrix More...

Static Public Attributes
static Matrix3x4d	Zero = new Matrix3x4d(Vector4d.Zero, Vector4d.Zero, Vector4d.Zero)
	The zero matrix More...

Properties
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...
Vector3d	Column3 [get]
	Gets 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...
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.Matrix3x4d.Matrix3x4d	(	Vector4d	row0,
		Vector4d	row1,
		Vector4d	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.Matrix3x4d.Matrix3x4d	(	double	m00,
		double	m01,
		double	m02,
		double	m03,
		double	m10,
		double	m11,
		double	m12,
		double	m13,
		double	m20,
		double	m21,
		double	m22,
		double	m23
	)

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.
m03	Fourth 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.
m13	Fourth 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.
m23	First item of the third row of the matrix.

Member Function Documentation

static Matrix3x4d OpenTK.Matrix3x4d.Add ( Matrix3x4d  left, Matrix3x4d  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.Matrix3x4d.Add ( ref Matrix3x4d  left, ref Matrix3x4d  right, out Matrix3x4d  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.Matrix3x4d.CreateFromAxisAngle ( Vector3d  axis, double  angle, out Matrix3x4d  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 Matrix3x4d OpenTK.Matrix3x4d.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.Matrix3x4d.CreateFromQuaternion ( ref Quaternion  q, out Matrix3x4d  result  )

static

Builds a rotation matrix from a quaternion.

Parameters

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

static Matrix3x4d OpenTK.Matrix3x4d.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.Matrix3x4d.CreateRotationX ( double  angle, out Matrix3x4d  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 Matrix3x4d OpenTK.Matrix3x4d.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 Matrix4 instance.

static void OpenTK.Matrix3x4d.CreateRotationY ( double  angle, out Matrix3x4d  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 Matrix3x4d OpenTK.Matrix3x4d.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 Matrix4 instance.

static void OpenTK.Matrix3x4d.CreateRotationZ ( double  angle, out Matrix3x4d  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 Matrix3x4d OpenTK.Matrix3x4d.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 Matrix4 instance.

static Matrix3x4d OpenTK.Matrix3x4d.CreateScale ( double  scale )

static

Build a scaling matrix

Parameters

scale

Single scale factor for x,y and z axes

Returns

A scaling matrix

static Matrix3x4d OpenTK.Matrix3x4d.CreateScale ( Vector3d  scale )

static

Build a scaling matrix

Parameters

scale

Scale factors for x,y and z axes

Returns

A scaling matrix

static Matrix3x4d OpenTK.Matrix3x4d.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.Matrix3x4d.CreateTranslation ( double  x, double  y, double  z, out Matrix3x4d  result  )

static

Creates a translation matrix.

Parameters

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

static void OpenTK.Matrix3x4d.CreateTranslation ( ref Vector3d  vector, out Matrix3x4d  result  )

static

Creates a translation matrix.

Parameters

vector	The translation vector.
result	The resulting Matrix4 instance.

static Matrix3x4d OpenTK.Matrix3x4d.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 Matrix4 instance.

static Matrix3x4d OpenTK.Matrix3x4d.CreateTranslation ( Vector3d  vector )

static

Creates a translation matrix.

Parameters

vector

The translation vector.

Returns

The resulting Matrix4 instance.

override bool OpenTK.Matrix3x4d.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.Matrix3x4d.Equals

(

Matrix3x4d

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.Matrix3x4d.GetHashCode

(

)

Returns the hashcode for this instance.

Returns

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

void OpenTK.Matrix3x4d.Invert

(

)

Converts this instance into its inverse.

static Matrix3x4d OpenTK.Matrix3x4d.Invert ( Matrix3x4d  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.Matrix3x4d.Invert ( ref Matrix3x4d  mat, out Matrix3x4d  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 Matrix3d OpenTK.Matrix3x4d.Mult ( Matrix3x4d  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.Matrix3x4d.Mult ( ref Matrix3x4d  left, ref Matrix4x3d  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

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

static

Matrix multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix3x4d which holds the result of the multiplication

static Matrix3x4d OpenTK.Matrix3x4d.operator* ( Matrix3x4d  left, double  right  )

static

Matrix-scalar multiplication

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix3x4d which holds the result of the multiplication

static Matrix3x4d OpenTK.Matrix3x4d.operator+ ( Matrix3x4d  left, Matrix3x4d  right  )

static

Matrix addition

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix3x4d which holds the result of the addition

static Matrix3x4d OpenTK.Matrix3x4d.operator- ( Matrix3x4d  left, Matrix3x4d  right  )

static

Matrix subtraction

Parameters

left	left-hand operand
right	right-hand operand

Returns

A new Matrix3x4d which holds the result of the subtraction

static bool OpenTK.Matrix3x4d.operator== ( Matrix3x4d  left, Matrix3x4d  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 Matrix3x4d OpenTK.Matrix3x4d.Subtract ( Matrix3x4d  left, Matrix3x4d  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.Matrix3x4d.Subtract ( ref Matrix3x4d  left, ref Matrix3x4d  right, out Matrix3x4d  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.Matrix3x4d.ToString

(

)

Returns a System.String that represents the current Matrix4.

Returns

The string representation of the matrix.

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

static

Calculate the transpose of the given matrix

Parameters

mat	The matrix to transpose
result	The result of the calculation

Member Data Documentation

Vector4d OpenTK.Matrix3x4d.Row0

Top row of the matrix

Vector4d OpenTK.Matrix3x4d.Row1

2nd row of the matrix

Vector4d OpenTK.Matrix3x4d.Row2

Bottom row of the matrix

Matrix3x4d OpenTK.Matrix3x4d.Zero = new Matrix3x4d(Vector4d.Zero, Vector4d.Zero, Vector4d.Zero)

static

The zero matrix

Property Documentation

Vector3d OpenTK.Matrix3x4d.Column0

get

Gets the first column of this matrix.

Vector3d OpenTK.Matrix3x4d.Column1

get

Gets the second column of this matrix.

Vector3d OpenTK.Matrix3x4d.Column2

get

Gets the third column of this matrix.

Vector3d OpenTK.Matrix3x4d.Column3

get

Gets the fourth column of this matrix.

Vector3d OpenTK.Matrix3x4d.Diagonal

getset

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

double OpenTK.Matrix3x4d.M11

getset

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

double OpenTK.Matrix3x4d.M12

getset

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

double OpenTK.Matrix3x4d.M13

getset

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

double OpenTK.Matrix3x4d.M14

getset

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

double OpenTK.Matrix3x4d.M21

getset

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

double OpenTK.Matrix3x4d.M22

getset

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

double OpenTK.Matrix3x4d.M23

getset

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

double OpenTK.Matrix3x4d.M24

getset

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

double OpenTK.Matrix3x4d.M31

getset

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

double OpenTK.Matrix3x4d.M32

getset

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

double OpenTK.Matrix3x4d.M33

getset

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

double OpenTK.Matrix3x4d.M34

getset

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

double OpenTK.Matrix3x4d.this[int rowIndex, int columnIndex]

getset

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

double OpenTK.Matrix3x4d.Trace

get

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