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Quaternion¶

A unit quaternion used for representing 3D rotations.

Description¶

Quaternions are similar to Basis, which implements the matrix representation of rotations. Unlike Basis, which stores rotation, scale, and shearing, quaternions only store rotation.

Quaternions can be parametrized using both an axis-angle pair or Euler angles. Due to their compactness and the way they are stored in memory, certain operations (obtaining axis-angle and performing SLERP, in particular) are more efficient and robust against floating-point errors.

Note: Quaternions need to be normalized before being used for rotation.

Note

There are notable differences when using this API with C#. See C# API differences to GDScript for more information.

Tutorials¶

Properties¶

float	w	`1.0`
float	x	`0.0`
float	y	`0.0`
float	z	`0.0`

Constructors¶

Quaternion	Quaternion ( )
Quaternion	Quaternion ( Quaternion from )
Quaternion	Quaternion ( Vector3 arc_from, Vector3 arc_to )
Quaternion	Quaternion ( Vector3 axis, float angle )
Quaternion	Quaternion ( Basis from )
Quaternion	Quaternion ( float x, float y, float z, float w )

Methods¶

float	angle_to ( Quaternion to ) const
float	dot ( Quaternion with ) const
Quaternion	exp ( ) const
Quaternion	from_euler ( Vector3 euler ) static
float	get_angle ( ) const
Vector3	get_axis ( ) const
Vector3	get_euler ( int order=2 ) const
Quaternion	inverse ( ) const
bool	is_equal_approx ( Quaternion to ) const
bool	is_finite ( ) const
bool	is_normalized ( ) const
float	length ( ) const
float	length_squared ( ) const
Quaternion	log ( ) const
Quaternion	normalized ( ) const
Quaternion	slerp ( Quaternion to, float weight ) const
Quaternion	slerpni ( Quaternion to, float weight ) const
Quaternion	spherical_cubic_interpolate ( Quaternion b,