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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.

Bemerkung

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

Tutorials

• Using 3D transforms

• Third Person Shooter Demo

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 ( )