godot-docs/classes/class_quat.rst

.. Generated automatically by doc/tools/makerst.py in Godot's source tree.
.. DO NOT EDIT THIS FILE, but the Quat.xml source instead.
.. The source is found in doc/classes or modules/<name>/doc_classes.

.. _class_Quat:

Quat
====

**Category:** Built-In Types

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

Quaternion.

Properties
----------

+---------------------------+------------------------+
| :ref:`float<class_float>` | :ref:`w<class_Quat_w>` |
+---------------------------+------------------------+
| :ref:`float<class_float>` | :ref:`x<class_Quat_x>` |
+---------------------------+------------------------+
| :ref:`float<class_float>` | :ref:`y<class_Quat_y>` |
+---------------------------+------------------------+
| :ref:`float<class_float>` | :ref:`z<class_Quat_z>` |
+---------------------------+------------------------+

Methods
-------

+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_Quat>`        | :ref:`Quat<class_Quat_Quat>` **(** :ref:`Basis<class_Basis>` from **)**                                                                                                      |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_Quat>`        | :ref:`Quat<class_Quat_Quat>` **(** :ref:`Vector3<class_Vector3>` euler **)**                                                                                                 |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :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:`float<class_float>` x, :ref:`float<class_float>` y, :ref:`float<class_float>` z, :ref:`float<class_float>` w **)**                  |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :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:`Vector3<class_Vector3>`  | :ref:`get_euler<class_Quat_get_euler>` **(** **)**                                                                                                                           |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Quat<class_Quat>`        | :ref:`inverse<class_Quat_inverse>` **(** **)**                                                                                                                               |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`        | :ref:`is_normalized<class_Quat_is_normalized>` **(** **)**                                                                                                                   |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :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>` **(** **)**                                                                                                                         |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                           | :ref:`set_axis_angle<class_Quat_set_axis_angle>` **(** :ref:`Vector3<class_Vector3>` axis, :ref:`float<class_float>` angle **)**                                             |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                           | :ref:`set_euler<class_Quat_set_euler>` **(** :ref:`Vector3<class_Vector3>` euler **)**                                                                                       |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :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 **)**                                                                                                   |
+--------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+

Constants
---------

- **IDENTITY** = **Quat( 0, 0, 0, 1 )**

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

A unit quaternion used for representing 3D rotations.

It is similar to :ref:`Basis<class_Basis>`, which implements matrix representation of rotations, and can be parametrized using both an axis-angle pair or Euler angles. But 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.

Quaternions need to be (re)normalized.

Tutorials
---------

- `#interpolating-with-quaternions <../tutorials/3d/using_transforms.html#interpolating-with-quaternions>`_ in :doc:`../tutorials/3d/using_transforms`

- :doc:`../tutorials/math/rotations`

Property Descriptions
---------------------

.. _class_Quat_w:

- :ref:`float<class_float>` **w**

W component of the quaternion. Default value: ``1``

.. _class_Quat_x:

- :ref:`float<class_float>` **x**

X component of the quaternion. Default value: ``0``

.. _class_Quat_y:

- :ref:`float<class_float>` **y**

Y component of the quaternion. Default value: ``0``

.. _class_Quat_z:

- :ref:`float<class_float>` **z**

Z component of the quaternion. Default value: ``0``

Method Descriptions
-------------------

.. _class_Quat_Quat:

- :ref:`Quat<class_Quat>` **Quat** **(** :ref:`Basis<class_Basis>` from **)**

Returns the rotation matrix corresponding to the given quaternion.

.. _class_Quat_Quat:

- :ref:`Quat<class_Quat>` **Quat** **(** :ref:`Vector3<class_Vector3>` euler **)**

Returns a quaternion that will perform a rotation specified by Euler angles (in the YXZ convention: first Z, then X, and Y last), given in the vector format as (X-angle, Y-angle, Z-angle).

.. _class_Quat_Quat:

- :ref:`Quat<class_Quat>` **Quat** **(** :ref:`Vector3<class_Vector3>` axis, :ref:`float<class_float>` angle **)**

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

.. _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 **)**

Returns a quaternion defined by these values.

.. _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 **)**

Performs a cubic spherical-linear interpolation with another quaternion.

.. _class_Quat_dot:

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

Returns the dot product of two quaternions.

.. _class_Quat_get_euler:

- :ref:`Vector3<class_Vector3>` **get_euler** **(** **)**

Return Euler angles (in the YXZ convention: 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).

.. _class_Quat_inverse:

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

Returns the inverse of the quaternion.

.. _class_Quat_is_normalized:

- :ref:`bool<class_bool>` **is_normalized** **(** **)**

Returns whether the quaternion is normalized or not.

.. _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_set_axis_angle:

- void **set_axis_angle** **(** :ref:`Vector3<class_Vector3>` axis, :ref:`float<class_float>` angle **)**

Set the quaternion to a rotation which rotates around axis by the specified angle, in radians. The axis must be a normalized vector.

.. _class_Quat_set_euler:

- void **set_euler** **(** :ref:`Vector3<class_Vector3>` euler **)**

Set the quaternion to a rotation specified by Euler angles (in the YXZ convention: first Z, then X, and Y last), given in the vector format as (X-angle, Y-angle, Z-angle).

.. _class_Quat_slerp:

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

Performs 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 **)**

Performs a spherical-linear interpolation with another quaterion without checking if the rotation path is not bigger than 90°.

.. _class_Quat_xform:

- :ref:`Vector3<class_Vector3>` **xform** **(** :ref:`Vector3<class_Vector3>` v **)**

Transforms the vector ``v`` by this quaternion.