Quaternion. A unit quaternion used for representing 3D rotations. Quaternions need to be normalized to be used for rotation. It is similar to Basis, which implements matrix representation of rotations, and can be parametrized using both an axis-angle pair or Euler angles. Basis stores rotation, scale, and shearing, while Quaternion only stores rotation. Due to its compactness and the way it is stored in memory, certain operations (obtaining axis-angle and performing SLERP, in particular) are more efficient and robust against floating-point errors. $DOCS_URL/tutorials/3d/using_transforms.html#interpolating-with-quaternions https://godotengine.org/asset-library/asset/678 Constructs a default-initialized quaternion with all components set to [code]0[/code]. Constructs a [Quaternion] as a copy of the given [Quaternion]. Constructs a quaternion that will rotate around the given axis by the specified angle. The axis must be a normalized vector. Constructs a quaternion from the given [Basis]. Constructs a quaternion defined by the given values. Returns the angle between this quaternion and [param to]. This is the magnitude of the angle you would need to rotate by to get from one to the other. [b]Note:[/b] This method has an abnormally high amount of floating-point error, so methods such as [code]is_zero_approx[/code] will not work reliably. Returns the dot product of two quaternions. Returns Euler angles (in the YXZ convention: when decomposing, first Z, then X, and Y last) corresponding to the rotation represented by the unit quaternion. Returned vector contains the rotation angles in the format (X angle, Y angle, Z angle). Returns the inverse of the quaternion. Returns [code]true[/code] if this quaternion and [param to] are approximately equal, by running [method @GlobalScope.is_equal_approx] on each component. Returns whether the quaternion is normalized or not. Returns the length of the quaternion. Returns the length of the quaternion, squared. Returns a copy of the quaternion, normalized to unit length. Returns the result of the spherical linear interpolation between this quaternion and [param to] by amount [param weight]. [b]Note:[/b] Both quaternions must be normalized. Returns the result of the spherical linear interpolation between this quaternion and [param to] by amount [param weight], but without checking if the rotation path is not bigger than 90 degrees. Performs a spherical cubic interpolation between quaternions [param pre_a], this vector, [param b], and [param post_b], by the given amount [param weight]. W component of the quaternion (real part). Quaternion components should usually not be manipulated directly. X component of the quaternion (imaginary [code]i[/code] axis part). Quaternion components should usually not be manipulated directly. Y component of the quaternion (imaginary [code]j[/code] axis part). Quaternion components should usually not be manipulated directly. Z component of the quaternion (imaginary [code]k[/code] axis part). Quaternion components should usually not be manipulated directly. 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. Returns [code]true[/code] if the quaternions are not equal. [b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable. Composes these two quaternions by multiplying them together. This has the effect of rotating the second quaternion (the child) by the first quaternion (the parent). Rotates (multiplies) the [Vector3] by the given [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. 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. 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. 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. 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. 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. Returns [code]true[/code] if the quaternions are exactly equal. [b]Note:[/b] Due to floating-point precision errors, consider using [method is_equal_approx] instead, which is more reliable. Access quaternion components using their index. [code]q[0][/code] is equivalent to [code]q.x[/code], [code]q[1][/code] is equivalent to [code]q.y[/code], [code]q[2][/code] is equivalent to [code]q.z[/code], and [code]q[3][/code] is equivalent to [code]q.w[/code]. Returns the same value as if the [code]+[/code] was not there. Unary [code]+[/code] does nothing, but sometimes it can make your code more readable. Returns the negative value of the [Quaternion]. This is the same as writing [code]Quaternion(-q.x, -q.y, -q.z, -q.w)[/code]. This operation results in a quaternion that represents the same rotation.