Represents a double-precision Quaternion. More...

Inherits IEquatable< Quaterniond >.

Public Member Functions
	Quaterniond (Vector3d v, double w)
	Construct a new Quaterniond from vector and w components More...

	Quaterniond (double x, double y, double z, double w)
	Construct a new Quaterniond More...

void	ToAxisAngle (out Vector3d axis, out double angle)
	Convert the current quaternion to axis angle representation More...

Vector4d	ToAxisAngle ()
	Convert this instance to an axis-angle representation. More...

Quaterniond	Normalized ()
	Returns a copy of the Quaterniond scaled to unit length. More...

void	Invert ()
	Reverses the rotation angle of this Quaterniond. More...

Quaterniond	Inverted ()
	Returns a copy of this Quaterniond with its rotation angle reversed. More...

void	Normalize ()
	Scales the Quaterniond to unit length. More...

void	Conjugate ()
	Inverts the Vector3d component of this Quaterniond. More...

override string	ToString ()
	Returns a System.String that represents the current Quaterniond. More...

override bool	Equals (object other)
	Compares this object instance to another object for equality. More...

override int	GetHashCode ()
	Provides the hash code for this object. More...

bool	Equals (Quaterniond other)
	Compares this Quaterniond instance to another Quaterniond for equality. More...

Static Public Member Functions
static Quaterniond	Add (Quaterniond left, Quaterniond right)
	Add two quaternions More...

static void	Add (ref Quaterniond left, ref Quaterniond right, out Quaterniond result)
	Add two quaternions More...

static Quaterniond	Sub (Quaterniond left, Quaterniond right)
	Subtracts two instances. More...

static void	Sub (ref Quaterniond left, ref Quaterniond right, out Quaterniond result)
	Subtracts two instances. More...

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

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

static Quaterniond	Multiply (Quaterniond left, Quaterniond right)
	Multiplies two instances. More...

static void	Multiply (ref Quaterniond left, ref Quaterniond right, out Quaterniond result)
	Multiplies two instances. More...

static void	Multiply (ref Quaterniond quaternion, double scale, out Quaterniond result)
	Multiplies an instance by a scalar. More...

static Quaterniond	Multiply (Quaterniond quaternion, double scale)
	Multiplies an instance by a scalar. More...

static Quaterniond	Conjugate (Quaterniond q)
	Get the conjugate of the given Quaterniond More...

static void	Conjugate (ref Quaterniond q, out Quaterniond result)
	Get the conjugate of the given Quaterniond More...

static Quaterniond	Invert (Quaterniond q)
	Get the inverse of the given Quaterniond More...

static void	Invert (ref Quaterniond q, out Quaterniond result)
	Get the inverse of the given Quaterniond More...

static Quaterniond	Normalize (Quaterniond q)
	Scale the given Quaterniond to unit length More...

static void	Normalize (ref Quaterniond q, out Quaterniond result)
	Scale the given Quaterniond to unit length More...

static Quaterniond	FromAxisAngle (Vector3d axis, double angle)
	Build a Quaterniond from the given axis and angle More...

static Quaterniond	FromMatrix (Matrix3d matrix)
	Builds a quaternion from the given rotation matrix More...

static void	FromMatrix (ref Matrix3d matrix, out Quaterniond result)
	Builds a quaternion from the given rotation matrix More...

static Quaterniond	Slerp (Quaterniond q1, Quaterniond q2, double blend)
	Do Spherical linear interpolation between two quaternions More...

static Quaterniond	operator+ (Quaterniond left, Quaterniond right)
	Adds two instances. More...

static Quaterniond	operator- (Quaterniond left, Quaterniond right)
	Subtracts two instances. More...

static Quaterniond	operator* (Quaterniond left, Quaterniond right)
	Multiplies two instances. More...

static Quaterniond	operator* (Quaterniond quaternion, double scale)
	Multiplies an instance by a scalar. More...

static Quaterniond	operator* (double scale, Quaterniond quaternion)
	Multiplies an instance by a scalar. More...

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

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

Public Attributes
Vector3d	xyz

double	w

Static Public Attributes
static readonly Quaterniond	Identity = new Quaterniond(0, 0, 0, 1)
	Defines the identity quaternion. More...

Properties
Vector3d	XYZ `[get, set]`
	Gets or sets an OpenTK.Vector3d with the X, Y and Z components of this instance. More...

Vector3d	Xyz `[get, set]`
	Gets or sets an OpenTK.Vector3d with the X, Y and Z components of this instance. More...

double	X `[get, set]`
	Gets or sets the X component of this instance. More...

double	Y `[get, set]`
	Gets or sets the Y component of this instance. More...

double	Z `[get, set]`
	Gets or sets the Z component of this instance. More...

double	W `[get, set]`
	Gets or sets the W component of this instance. More...

double	Length `[get]`
	Gets the length (magnitude) of the Quaterniond. More...

double	LengthSquared `[get]`
	Gets the square of the Quaterniond length (magnitude). More...

Detailed Description

Represents a double-precision Quaternion.

Constructor & Destructor Documentation

OpenTK.Quaterniond.Quaterniond	(	Vector3d	v,
		double	w
	)

Construct a new Quaterniond from vector and w components

Parameters

v	The vector part
w	The w part

OpenTK.Quaterniond.Quaterniond	(	double	x,
		double	y,
		double	z,
		double	w
	)

Construct a new Quaterniond

Parameters

x	The x component
y	The y component
z	The z component
w	The w component

Member Function Documentation

static Quaterniond OpenTK.Quaterniond.Add	(	Quaterniond	left,
		Quaterniond	right
	)

static

Add two quaternions

Parameters

left	The first operand
right	The second operand

Returns: The result of the addition

static void OpenTK.Quaterniond.Add	(	ref Quaterniond	left,
		ref Quaterniond	right,
		out Quaterniond	result
	)

static

Add two quaternions

Parameters

left	The first operand
right	The second operand
result	The result of the addition

void OpenTK.Quaterniond.Conjugate ( )

Inverts the Vector3d component of this Quaterniond.

static Quaterniond OpenTK.Quaterniond.Conjugate ( Quaterniond q )

static

Get the conjugate of the given Quaterniond

Parameters

q	The Quaterniond

Returns: The conjugate of the given Quaterniond

static void OpenTK.Quaterniond.Conjugate	(	ref Quaterniond	q,
		out Quaterniond	result
	)

static

Get the conjugate of the given Quaterniond

Parameters

q	The Quaterniond
result	The conjugate of the given Quaterniond

override bool OpenTK.Quaterniond.Equals ( object other )

Compares this object instance to another object for equality.

Parameters

other The other object to be used in the comparison.

Returns: True if both objects are Quaternions of equal value. Otherwise it returns false.

bool OpenTK.Quaterniond.Equals ( Quaterniond other )

Compares this Quaterniond instance to another Quaterniond for equality.

Parameters

other The other Quaterniond to be used in the comparison.

Returns: True if both instances are equal; false otherwise.

static Quaterniond OpenTK.Quaterniond.FromAxisAngle	(	Vector3d	axis,
		double	angle
	)

static

Build a Quaterniond from the given axis and angle

Parameters

axis	The axis to rotate about
angle	The rotation angle in radians

Returns

static Quaterniond OpenTK.Quaterniond.FromMatrix ( Matrix3d matrix )

static

Builds a quaternion from the given rotation matrix

Parameters

matrix A rotation matrix

Returns: The equivalent quaternion

static void OpenTK.Quaterniond.FromMatrix	(	ref Matrix3d	matrix,
		out Quaterniond	result
	)

static

Builds a quaternion from the given rotation matrix

Parameters

matrix	A rotation matrix
result	The equivalent quaternion

override int OpenTK.Quaterniond.GetHashCode ( )

Provides the hash code for this object.

Returns: A hash code formed from the bitwise XOR of this objects members.

void OpenTK.Quaterniond.Invert ( )

Reverses the rotation angle of this Quaterniond.

static Quaterniond OpenTK.Quaterniond.Invert ( Quaterniond q )

static

Get the inverse of the given Quaterniond

Parameters

q	The Quaterniond to invert

Returns: The inverse of the given Quaterniond

static void OpenTK.Quaterniond.Invert	(	ref Quaterniond	q,
		out Quaterniond	result
	)

static

Get the inverse of the given Quaterniond

Parameters

q	The Quaterniond to invert
result	The inverse of the given Quaterniond

Quaterniond OpenTK.Quaterniond.Inverted ( )

Returns a copy of this Quaterniond with its rotation angle reversed.

static Quaterniond OpenTK.Quaterniond.Mult	(	Quaterniond	left,
		Quaterniond	right
	)

static

Multiplies two instances.

Parameters

left	The first instance.
right	The second instance.

Returns: A new instance containing the result of the calculation.

static void OpenTK.Quaterniond.Mult	(	ref Quaterniond	left,
		ref Quaterniond	right,
		out Quaterniond	result
	)

static

Multiplies two instances.

Parameters

left	The first instance.
right	The second instance.
result	A new instance containing the result of the calculation.

static Quaterniond OpenTK.Quaterniond.Multiply	(	Quaterniond	left,
		Quaterniond	right
	)

static

Multiplies two instances.

Parameters

left	The first instance.
right	The second instance.

Returns: A new instance containing the result of the calculation.

static void OpenTK.Quaterniond.Multiply	(	ref Quaterniond	left,
		ref Quaterniond	right,
		out Quaterniond	result
	)

static

Multiplies two instances.

Parameters

left	The first instance.
right	The second instance.
result	A new instance containing the result of the calculation.

static void OpenTK.Quaterniond.Multiply	(	ref Quaterniond	quaternion,
		double	scale,
		out Quaterniond	result
	)

static

Multiplies an instance by a scalar.

Parameters

quaternion	The instance.
scale	The scalar.
result	A new instance containing the result of the calculation.

static Quaterniond OpenTK.Quaterniond.Multiply	(	Quaterniond	quaternion,
		double	scale
	)

static

Multiplies an instance by a scalar.

Parameters

quaternion	The instance.
scale	The scalar.

Returns: A new instance containing the result of the calculation.

void OpenTK.Quaterniond.Normalize ( )

Scales the Quaterniond to unit length.

static Quaterniond OpenTK.Quaterniond.Normalize ( Quaterniond q )

static

Scale the given Quaterniond to unit length

Parameters

q	The Quaterniond to normalize

Returns: The normalized Quaterniond

static void OpenTK.Quaterniond.Normalize	(	ref Quaterniond	q,
		out Quaterniond	result
	)

static

Scale the given Quaterniond to unit length

Parameters

q	The Quaterniond to normalize
result	The normalized Quaterniond

Quaterniond OpenTK.Quaterniond.Normalized ( )

Returns a copy of the Quaterniond scaled to unit length.

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

static

Multiplies two instances.

Parameters

left	The first instance.
right	The second instance.

Returns: The result of the calculation.

static Quaterniond OpenTK.Quaterniond.operator*	(	Quaterniond	quaternion,
		double	scale
	)

static

Multiplies an instance by a scalar.

Parameters

quaternion	The instance.
scale	The scalar.

Returns: A new instance containing the result of the calculation.

static Quaterniond OpenTK.Quaterniond.operator*	(	double	scale,
		Quaterniond	quaternion
	)

static

Multiplies an instance by a scalar.

Parameters

quaternion	The instance.
scale	The scalar.

Returns: A new instance containing the result of the calculation.

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

static

Adds two instances.

Parameters

left	The first instance.
right	The second instance.

Returns: The result of the calculation.

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

static

Subtracts two instances.

Parameters

left	The first instance.
right	The second instance.

Returns: The result of the calculation.

static bool OpenTK.Quaterniond.operator==	(	Quaterniond	left,
		Quaterniond	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 Quaterniond OpenTK.Quaterniond.Slerp	(	Quaterniond	q1,
		Quaterniond	q2,
		double	blend
	)

static

Do Spherical linear interpolation between two quaternions

Parameters

q1	The first Quaterniond
q2	The second Quaterniond
blend	The blend factor

Returns: A smooth blend between the given quaternions

static Quaterniond OpenTK.Quaterniond.Sub	(	Quaterniond	left,
		Quaterniond	right
	)

static

Subtracts two instances.

Parameters

left	The left instance.
right	The right instance.

Returns: The result of the operation.

static void OpenTK.Quaterniond.Sub	(	ref Quaterniond	left,
		ref Quaterniond	right,
		out Quaterniond	result
	)

static

Subtracts two instances.

Parameters

left	The left instance.
right	The right instance.
result	The result of the operation.

void OpenTK.Quaterniond.ToAxisAngle	(	out Vector3d	axis,
		out double	angle
	)

Convert the current quaternion to axis angle representation

Parameters

axis	The resultant axis
angle	The resultant angle

Vector4d OpenTK.Quaterniond.ToAxisAngle ( )

Convert this instance to an axis-angle representation.

Returns: A Vector4 that is the axis-angle representation of this quaternion.

override string OpenTK.Quaterniond.ToString ( )

Returns a System.String that represents the current Quaterniond.

Returns

Member Data Documentation

readonly Quaterniond OpenTK.Quaterniond.Identity = new Quaterniond(0, 0, 0, 1)

static

Defines the identity quaternion.

Property Documentation

double OpenTK.Quaterniond.Length

get

Gets the length (magnitude) of the Quaterniond.

See Also: LengthSquared

double OpenTK.Quaterniond.LengthSquared

get

Gets the square of the Quaterniond length (magnitude).

double OpenTK.Quaterniond.W

getset

Gets or sets the W component of this instance.

double OpenTK.Quaterniond.X

getset

Gets or sets the X component of this instance.

Vector3d OpenTK.Quaterniond.XYZ

getset

Gets or sets an OpenTK.Vector3d with the X, Y and Z components of this instance.

Vector3d OpenTK.Quaterniond.Xyz

getset

Gets or sets an OpenTK.Vector3d with the X, Y and Z components of this instance.

double OpenTK.Quaterniond.Y

getset

Gets or sets the Y component of this instance.

double OpenTK.Quaterniond.Z

getset

Gets or sets the Z component of this instance.

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