inverse

Other members in extension

Type members

• init()

  Constructs a default-initialized quaternion with all components set to 0.

• init(arcFrom: Vector3, arcTo: Vector3)

  Constructs a quaternion representing the shortest arc between two points on the surface of a sphere with a radius of 1.0.

• init(axis: Vector3, angle: Float)

  Constructs a quaternion that will rotate around the given axis by the specified angle. The axis must be a normalized vector.

• init(from: Quaternion)

  Constructs a Quaternion as a copy of the given Quaternion.

• init(from: Basis)

  Constructs a quaternion from the given Basis.

• init(x: Float, y: Float, z: Float, w: Float)

  Constructs a quaternion defined by the given values.

• static var godotType: Variant.GType
• static let identity: Quaternion

  The identity quaternion, representing no rotation. Equivalent to an identity Basis matrix. If a vector is transformed by an identity quaternion, it will not change.

• static func fromEuler(Vector3) -> Quaternion

  Constructs a Quaternion from Euler angles in YXZ rotation order.

• static func != (lhs: Quaternion, rhs: Quaternion) -> Bool

  Returns true if the quaternions are not equal.

• static func * (lhs: Quaternion, rhs: Quaternion) -> Quaternion

  Multiplies each component of the Quaternion by the given value. This operation is not meaningful on its own, but it can be used as a part of a larger expression.

• static func * (lhs: Quaternion, rhs: Double) -> Quaternion

  Multiplies each component of the Quaternion by the given value. This operation is not meaningful on its own, but it can be used as a part of a larger expression.

• static func * (lhs: Quaternion, rhs: Int64) -> Quaternion

  Multiplies each component of the Quaternion by the given value. This operation is not meaningful on its own, but it can be used as a part of a larger expression.

• static func * (lhs: Quaternion, rhs: Vector3) -> Vector3

  Multiplies each component of the Quaternion by the given value. This operation is not meaningful on its own, but it can be used as a part of a larger expression.

• static func + (lhs: Quaternion, rhs: Quaternion) -> Quaternion

  Adds each component of the left Quaternion to the right Quaternion. This operation is not meaningful on its own, but it can be used as a part of a larger expression, such as approximating an intermediate rotation between two nearby rotations.

• static func - (q: `Self`) -> Quaternion

  Returns the negative value of the Quaternion. This is the same as writing Quaternion(-q.x, -q.y, -q.z, -q.w). This operation results in a quaternion that represents the same rotation.

• static func - (lhs: Quaternion, rhs: Quaternion) -> Quaternion

  Subtracts each component of the left Quaternion by the right Quaternion. This operation is not meaningful on its own, but it can be used as a part of a larger expression.

• static func / (lhs: Quaternion, rhs: Double) -> Quaternion

  Divides each component of the Quaternion by the given value. This operation is not meaningful on its own, but it can be used as a part of a larger expression.

• static func / (lhs: Quaternion, rhs: Int64) -> Quaternion

  Divides each component of the Quaternion by the given value. This operation is not meaningful on its own, but it can be used as a part of a larger expression.

• static func == (lhs: Quaternion, rhs: Quaternion) -> Bool

  Returns true if the quaternions are exactly equal.

Instance members

• var w: Float

  W component of the quaternion (real part).

• var x: Float

  X component of the quaternion (imaginary i axis part).

• var y: Float

  Y component of the quaternion (imaginary j axis part).

• var z: Float

  Z component of the quaternion (imaginary k axis part).

• subscript(Int64) -> Double
• func angleTo(Quaternion) -> Double

  Returns the angle between this quaternion and to. This is the magnitude of the angle you would need to rotate by to get from one to the other.

• func dot(with: Quaternion) -> Double

  Returns the dot product of two quaternions.

• func exp() -> Quaternion
• func getAngle() -> Double
• func getAxis() -> Vector3
• func getEuler(order: Int64) -> Vector3

  Returns the quaternion’s rotation in the form of Euler angles. The Euler order depends on the order parameter, for example using the YXZ convention: since this method decomposes, first Z, then X, and Y last. See the EulerOrder enum for possible values. The returned vector contains the rotation angles in the format (X angle, Y angle, Z angle).

• func isEqualApprox(to: Quaternion) -> Bool

  Returns true if this quaternion and to are approximately equal, by running @GlobalScope.is_equal_approx on each component.

• func isFinite() -> Bool

  Returns true if this quaternion is finite, by calling @GlobalScope.is_finite on each component.

• func isNormalized() -> Bool

  Returns whether the quaternion is normalized or not.

• func length() -> Double

  Returns the length of the quaternion.

• func lengthSquared() -> Double

  Returns the length of the quaternion, squared.

• func log() -> Quaternion
• func normalized() -> Quaternion

  Returns a copy of the quaternion, normalized to unit length.

• func slerp(to: Quaternion, weight: Double) -> Quaternion

  Returns the result of the spherical linear interpolation between this quaternion and to by amount weight.

• func slerpni(to: Quaternion, weight: Double) -> Quaternion

  Returns the result of the spherical linear interpolation between this quaternion and to by amount weight, but without checking if the rotation path is not bigger than 90 degrees.

• func sphericalCubicInterpolate(b: Quaternion, preA: Quaternion, postB: Quaternion, weight: Double) -> Quaternion

  Performs a spherical cubic interpolation between quaternions preA, this vector, b, and postB, by the given amount weight.

• func sphericalCubicInterpolateInTime(b: Quaternion, preA: Quaternion, postB: Quaternion, weight: Double, bT: Double, preAT: Double, postBT: Double) -> Quaternion

  Performs a spherical cubic interpolation between quaternions preA, this vector, b, and postB, by the given amount weight.