.. Generated automatically by doc/tools/makerst.py in Godot's source tree.
.. DO NOT EDIT THIS FILE, but the doc/base/classes.xml source instead.

.. _class_Quat:

Quat
====

**Category:** Built-In Types

Brief Description
-----------------

Quaternion.

Member Functions
----------------

+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`Quat<class_Quat_Quat>`  **(** :ref:`float<class_float>` x, :ref:`float<class_float>` y, :ref:`float<class_float>` z, :ref:`float<class_float>` w  **)**                  |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`Quat<class_Quat_Quat>`  **(** :ref:`Vector3<class_vector3>` axis, :ref:`float<class_float>` angle  **)**                                                                 |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`Quat<class_Quat_Quat>`  **(** :ref:`Matrix3<class_matrix3>` from  **)**                                                                                                  |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`cubic_slerp<class_Quat_cubic_slerp>`  **(** :ref:`Quat<class_quat>` b, :ref:`Quat<class_quat>` pre_a, :ref:`Quat<class_quat>` post_b, :ref:`float<class_float>` t  **)** |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`      | :ref:`dot<class_Quat_dot>`  **(** :ref:`Quat<class_quat>` b  **)**                                                                                                             |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`inverse<class_Quat_inverse>`  **(** **)**                                                                                                                                |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`      | :ref:`length<class_Quat_length>`  **(** **)**                                                                                                                                  |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`      | :ref:`length_squared<class_Quat_length_squared>`  **(** **)**                                                                                                                  |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`normalized<class_Quat_normalized>`  **(** **)**                                                                                                                          |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`slerp<class_Quat_slerp>`  **(** :ref:`Quat<class_quat>` b, :ref:`float<class_float>` t  **)**                                                                            |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_quat>`        | :ref:`slerpni<class_Quat_slerpni>`  **(** :ref:`Quat<class_quat>` b, :ref:`float<class_float>` t  **)**                                                                        |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector3<class_vector3>`  | :ref:`xform<class_Quat_xform>`  **(** :ref:`Vector3<class_vector3>` v  **)**                                                                                                   |
+--------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+

Member Variables
----------------

- :ref:`float<class_float>` **w**
- :ref:`float<class_float>` **x**
- :ref:`float<class_float>` **y**
- :ref:`float<class_float>` **z**

Description
-----------

Quaternion is a 4 dimensional vector that is used to represent a rotation. It mainly exists to perform SLERP (spherical-linear interpolation) between to rotations obtained by a Matrix3 cheaply. Adding quaternions also cheaply adds the rotations, however quaternions need to be often normalized, or else they suffer from precision issues.

Member Function Description
---------------------------

.. _class_Quat_Quat:

- :ref:`Quat<class_quat>`  **Quat**  **(** :ref:`float<class_float>` x, :ref:`float<class_float>` y, :ref:`float<class_float>` z, :ref:`float<class_float>` w  **)**

.. _class_Quat_Quat:

- :ref:`Quat<class_quat>`  **Quat**  **(** :ref:`Vector3<class_vector3>` axis, :ref:`float<class_float>` angle  **)**

.. _class_Quat_Quat:

- :ref:`Quat<class_quat>`  **Quat**  **(** :ref:`Matrix3<class_matrix3>` from  **)**

.. _class_Quat_cubic_slerp:

- :ref:`Quat<class_quat>`  **cubic_slerp**  **(** :ref:`Quat<class_quat>` b, :ref:`Quat<class_quat>` pre_a, :ref:`Quat<class_quat>` post_b, :ref:`float<class_float>` t  **)**

.. _class_Quat_dot:

- :ref:`float<class_float>`  **dot**  **(** :ref:`Quat<class_quat>` b  **)**

Returns the dot product between two quaternions.

.. _class_Quat_inverse:

- :ref:`Quat<class_quat>`  **inverse**  **(** **)**

Returns the inverse of the quaternion (applies to the inverse rotation too).

.. _class_Quat_length:

- :ref:`float<class_float>`  **length**  **(** **)**

Returns the length of the quaternion.

.. _class_Quat_length_squared:

- :ref:`float<class_float>`  **length_squared**  **(** **)**

Returns the length of the quaternion, squared.

.. _class_Quat_normalized:

- :ref:`Quat<class_quat>`  **normalized**  **(** **)**

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

.. _class_Quat_slerp:

- :ref:`Quat<class_quat>`  **slerp**  **(** :ref:`Quat<class_quat>` b, :ref:`float<class_float>` t  **)**

Perform a spherical-linear interpolation with another quaternion.

.. _class_Quat_slerpni:

- :ref:`Quat<class_quat>`  **slerpni**  **(** :ref:`Quat<class_quat>` b, :ref:`float<class_float>` t  **)**

.. _class_Quat_xform:

- :ref:`Vector3<class_vector3>`  **xform**  **(** :ref:`Vector3<class_vector3>` v  **)**