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.. DO NOT EDIT THIS FILE, but the AABB.xml source instead.
.. The source is found in doc/classes or modules/<name>/doc_classes.

.. _class_AABB:

AABB
====

Axis-Aligned Bounding Box.

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

``AABB`` consists of a position, a size, and several utility functions. It is typically used for fast overlap tests.

It uses floating-point coordinates. The 2D counterpart to ``AABB`` is :ref:`Rect2<class_Rect2>`.

Negative values for :ref:`size<class_AABB_property_size>` are not supported and will not work for most methods. Use :ref:`abs<class_AABB_method_abs>` to get an AABB with a positive size.

\ **Note:** Unlike :ref:`Rect2<class_Rect2>`, ``AABB`` does not have a variant that uses integer coordinates.

Tutorials
---------

- :doc:`Math documentation index <../tutorials/math/index>`

- :doc:`Vector math <../tutorials/math/vector_math>`

- :doc:`Advanced vector math <../tutorials/math/vectors_advanced>`

Properties
----------

+-------------------------------+-----------------------------------------------+----------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`end<class_AABB_property_end>`           | ``Vector3(0, 0, 0)`` |
+-------------------------------+-----------------------------------------------+----------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`position<class_AABB_property_position>` | ``Vector3(0, 0, 0)`` |
+-------------------------------+-----------------------------------------------+----------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`size<class_AABB_property_size>`         | ``Vector3(0, 0, 0)`` |
+-------------------------------+-----------------------------------------------+----------------------+

Constructors
------------

+-------------------------+---------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>` | :ref:`AABB<class_AABB_constructor_AABB>` **(** **)**                                                                            |
+-------------------------+---------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>` | :ref:`AABB<class_AABB_constructor_AABB>` **(** :ref:`AABB<class_AABB>` from **)**                                               |
+-------------------------+---------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>` | :ref:`AABB<class_AABB_constructor_AABB>` **(** :ref:`Vector3<class_Vector3>` position, :ref:`Vector3<class_Vector3>` size **)** |
+-------------------------+---------------------------------------------------------------------------------------------------------------------------------+

Methods
-------

+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>`       | :ref:`abs<class_AABB_method_abs>` **(** **)** |const|                                                                                                    |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`encloses<class_AABB_method_encloses>` **(** :ref:`AABB<class_AABB>` with **)** |const|                                                             |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>`       | :ref:`expand<class_AABB_method_expand>` **(** :ref:`Vector3<class_Vector3>` to_point **)** |const|                                                       |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`get_center<class_AABB_method_get_center>` **(** **)** |const|                                                                                      |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`get_endpoint<class_AABB_method_get_endpoint>` **(** :ref:`int<class_int>` idx **)** |const|                                                        |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`get_longest_axis<class_AABB_method_get_longest_axis>` **(** **)** |const|                                                                          |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>`         | :ref:`get_longest_axis_index<class_AABB_method_get_longest_axis_index>` **(** **)** |const|                                                              |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`get_longest_axis_size<class_AABB_method_get_longest_axis_size>` **(** **)** |const|                                                                |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`get_shortest_axis<class_AABB_method_get_shortest_axis>` **(** **)** |const|                                                                        |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>`         | :ref:`get_shortest_axis_index<class_AABB_method_get_shortest_axis_index>` **(** **)** |const|                                                            |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`get_shortest_axis_size<class_AABB_method_get_shortest_axis_size>` **(** **)** |const|                                                              |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector3<class_Vector3>` | :ref:`get_support<class_AABB_method_get_support>` **(** :ref:`Vector3<class_Vector3>` dir **)** |const|                                                  |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`get_volume<class_AABB_method_get_volume>` **(** **)** |const|                                                                                      |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>`       | :ref:`grow<class_AABB_method_grow>` **(** :ref:`float<class_float>` by **)** |const|                                                                     |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`has_no_surface<class_AABB_method_has_no_surface>` **(** **)** |const|                                                                              |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`has_no_volume<class_AABB_method_has_no_volume>` **(** **)** |const|                                                                                |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`has_point<class_AABB_method_has_point>` **(** :ref:`Vector3<class_Vector3>` point **)** |const|                                                    |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>`       | :ref:`intersection<class_AABB_method_intersection>` **(** :ref:`AABB<class_AABB>` with **)** |const|                                                     |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`intersects<class_AABB_method_intersects>` **(** :ref:`AABB<class_AABB>` with **)** |const|                                                         |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`intersects_plane<class_AABB_method_intersects_plane>` **(** :ref:`Plane<class_Plane>` plane **)** |const|                                          |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Variant<class_Variant>` | :ref:`intersects_ray<class_AABB_method_intersects_ray>` **(** :ref:`Vector3<class_Vector3>` from, :ref:`Vector3<class_Vector3>` dir **)** |const|        |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Variant<class_Variant>` | :ref:`intersects_segment<class_AABB_method_intersects_segment>` **(** :ref:`Vector3<class_Vector3>` from, :ref:`Vector3<class_Vector3>` to **)** |const| |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`is_equal_approx<class_AABB_method_is_equal_approx>` **(** :ref:`AABB<class_AABB>` aabb **)** |const|                                               |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>`       | :ref:`merge<class_AABB_method_merge>` **(** :ref:`AABB<class_AABB>` with **)** |const|                                                                   |
+-------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------+

Operators
---------

+-------------------------+---------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator !=<class_AABB_operator_neq_bool>` **(** **)**                                            |
+-------------------------+---------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator !=<class_AABB_operator_neq_bool>` **(** :ref:`AABB<class_AABB>` right **)**              |
+-------------------------+---------------------------------------------------------------------------------------------------------+
| :ref:`AABB<class_AABB>` | :ref:`operator *<class_AABB_operator_mul_AABB>` **(** :ref:`Transform3D<class_Transform3D>` right **)** |
+-------------------------+---------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator ==<class_AABB_operator_eq_bool>` **(** **)**                                             |
+-------------------------+---------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator ==<class_AABB_operator_eq_bool>` **(** :ref:`AABB<class_AABB>` right **)**               |
+-------------------------+---------------------------------------------------------------------------------------------------------+

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

.. _class_AABB_property_end:

- :ref:`Vector3<class_Vector3>` **end**

+-----------+----------------------+
| *Default* | ``Vector3(0, 0, 0)`` |
+-----------+----------------------+

Ending corner. This is calculated as ``position + size``. Setting this value will change the size.

----

.. _class_AABB_property_position:

- :ref:`Vector3<class_Vector3>` **position**

+-----------+----------------------+
| *Default* | ``Vector3(0, 0, 0)`` |
+-----------+----------------------+

Beginning corner. Typically has values lower than :ref:`end<class_AABB_property_end>`.

----

.. _class_AABB_property_size:

- :ref:`Vector3<class_Vector3>` **size**

+-----------+----------------------+
| *Default* | ``Vector3(0, 0, 0)`` |
+-----------+----------------------+

Size from :ref:`position<class_AABB_property_position>` to :ref:`end<class_AABB_property_end>`. Typically, all components are positive.

If the size is negative, you can use :ref:`abs<class_AABB_method_abs>` to fix it.

Constructor Descriptions
------------------------

.. _class_AABB_constructor_AABB:

- :ref:`AABB<class_AABB>` **AABB** **(** **)**

Constructs a default-initialized ``AABB`` with default (zero) values of :ref:`position<class_AABB_property_position>` and :ref:`size<class_AABB_property_size>`.

----

- :ref:`AABB<class_AABB>` **AABB** **(** :ref:`AABB<class_AABB>` from **)**

Constructs an ``AABB`` as a copy of the given ``AABB``.

----

- :ref:`AABB<class_AABB>` **AABB** **(** :ref:`Vector3<class_Vector3>` position, :ref:`Vector3<class_Vector3>` size **)**

Constructs an ``AABB`` from a position and size.

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

.. _class_AABB_method_abs:

- :ref:`AABB<class_AABB>` **abs** **(** **)** |const|

Returns an AABB with equivalent position and size, modified so that the most-negative corner is the origin and the size is positive.

----

.. _class_AABB_method_encloses:

- :ref:`bool<class_bool>` **encloses** **(** :ref:`AABB<class_AABB>` with **)** |const|

Returns ``true`` if this ``AABB`` completely encloses another one.

----

.. _class_AABB_method_expand:

- :ref:`AABB<class_AABB>` **expand** **(** :ref:`Vector3<class_Vector3>` to_point **)** |const|

Returns a copy of this ``AABB`` expanded to include a given point.

\ **Example:**\ 


.. tabs::

 .. code-tab:: gdscript

    # position (-3, 2, 0), size (1, 1, 1)
    var box = AABB(Vector3(-3, 2, 0), Vector3(1, 1, 1))
    # position (-3, -1, 0), size (3, 4, 2), so we fit both the original AABB and Vector3(0, -1, 2)
    var box2 = box.expand(Vector3(0, -1, 2))

 .. code-tab:: csharp

    // position (-3, 2, 0), size (1, 1, 1)
    var box = new AABB(new Vector3(-3, 2, 0), new Vector3(1, 1, 1));
    // position (-3, -1, 0), size (3, 4, 2), so we fit both the original AABB and Vector3(0, -1, 2)
    var box2 = box.Expand(new Vector3(0, -1, 2));



----

.. _class_AABB_method_get_center:

- :ref:`Vector3<class_Vector3>` **get_center** **(** **)** |const|

Returns the center of the ``AABB``, which is equal to :ref:`position<class_AABB_property_position>` + (:ref:`size<class_AABB_property_size>` / 2).

----

.. _class_AABB_method_get_endpoint:

- :ref:`Vector3<class_Vector3>` **get_endpoint** **(** :ref:`int<class_int>` idx **)** |const|

Gets the position of the 8 endpoints of the ``AABB`` in space.

----

.. _class_AABB_method_get_longest_axis:

- :ref:`Vector3<class_Vector3>` **get_longest_axis** **(** **)** |const|

Returns the normalized longest axis of the ``AABB``.

----

.. _class_AABB_method_get_longest_axis_index:

- :ref:`int<class_int>` **get_longest_axis_index** **(** **)** |const|

Returns the index of the longest axis of the ``AABB`` (according to :ref:`Vector3<class_Vector3>`'s ``AXIS_*`` constants).

----

.. _class_AABB_method_get_longest_axis_size:

- :ref:`float<class_float>` **get_longest_axis_size** **(** **)** |const|

Returns the scalar length of the longest axis of the ``AABB``.

----

.. _class_AABB_method_get_shortest_axis:

- :ref:`Vector3<class_Vector3>` **get_shortest_axis** **(** **)** |const|

Returns the normalized shortest axis of the ``AABB``.

----

.. _class_AABB_method_get_shortest_axis_index:

- :ref:`int<class_int>` **get_shortest_axis_index** **(** **)** |const|

Returns the index of the shortest axis of the ``AABB`` (according to :ref:`Vector3<class_Vector3>`::AXIS\* enum).

----

.. _class_AABB_method_get_shortest_axis_size:

- :ref:`float<class_float>` **get_shortest_axis_size** **(** **)** |const|

Returns the scalar length of the shortest axis of the ``AABB``.

----

.. _class_AABB_method_get_support:

- :ref:`Vector3<class_Vector3>` **get_support** **(** :ref:`Vector3<class_Vector3>` dir **)** |const|

Returns the support point in a given direction. This is useful for collision detection algorithms.

----

.. _class_AABB_method_get_volume:

- :ref:`float<class_float>` **get_volume** **(** **)** |const|

Returns the volume of the ``AABB``.

----

.. _class_AABB_method_grow:

- :ref:`AABB<class_AABB>` **grow** **(** :ref:`float<class_float>` by **)** |const|

Returns a copy of the ``AABB`` grown a given amount of units towards all the sides.

----

.. _class_AABB_method_has_no_surface:

- :ref:`bool<class_bool>` **has_no_surface** **(** **)** |const|

Returns ``true`` if the ``AABB`` is empty.

----

.. _class_AABB_method_has_no_volume:

- :ref:`bool<class_bool>` **has_no_volume** **(** **)** |const|

Returns ``true`` if the ``AABB`` is flat or empty.

----

.. _class_AABB_method_has_point:

- :ref:`bool<class_bool>` **has_point** **(** :ref:`Vector3<class_Vector3>` point **)** |const|

Returns ``true`` if the ``AABB`` contains a point. Points on the faces of the AABB are considered included, though float-point precision errors may impact the accuracy of such checks.

\ **Note:** This method is not reliable for ``AABB`` with a *negative size*. Use :ref:`abs<class_AABB_method_abs>` to get a positive sized equivalent ``AABB`` to check for contained points.

----

.. _class_AABB_method_intersection:

- :ref:`AABB<class_AABB>` **intersection** **(** :ref:`AABB<class_AABB>` with **)** |const|

Returns the intersection between two ``AABB``. An empty AABB (size ``(0, 0, 0)``) is returned on failure.

----

.. _class_AABB_method_intersects:

- :ref:`bool<class_bool>` **intersects** **(** :ref:`AABB<class_AABB>` with **)** |const|

Returns ``true`` if the ``AABB`` overlaps with another.

----

.. _class_AABB_method_intersects_plane:

- :ref:`bool<class_bool>` **intersects_plane** **(** :ref:`Plane<class_Plane>` plane **)** |const|

Returns ``true`` if the ``AABB`` is on both sides of a plane.

----

.. _class_AABB_method_intersects_ray:

- :ref:`Variant<class_Variant>` **intersects_ray** **(** :ref:`Vector3<class_Vector3>` from, :ref:`Vector3<class_Vector3>` dir **)** |const|

----

.. _class_AABB_method_intersects_segment:

- :ref:`Variant<class_Variant>` **intersects_segment** **(** :ref:`Vector3<class_Vector3>` from, :ref:`Vector3<class_Vector3>` to **)** |const|

Returns ``true`` if the ``AABB`` intersects the line segment between ``from`` and ``to``.

----

.. _class_AABB_method_is_equal_approx:

- :ref:`bool<class_bool>` **is_equal_approx** **(** :ref:`AABB<class_AABB>` aabb **)** |const|

Returns ``true`` if this ``AABB`` and ``aabb`` are approximately equal, by calling :ref:`@GlobalScope.is_equal_approx<class_@GlobalScope_method_is_equal_approx>` on each component.

----

.. _class_AABB_method_merge:

- :ref:`AABB<class_AABB>` **merge** **(** :ref:`AABB<class_AABB>` with **)** |const|

Returns a larger ``AABB`` that contains both this ``AABB`` and ``with``.

Operator Descriptions
---------------------

.. _class_AABB_operator_neq_bool:

- :ref:`bool<class_bool>` **operator !=** **(** **)**

----

- :ref:`bool<class_bool>` **operator !=** **(** :ref:`AABB<class_AABB>` right **)**

Returns ``true`` if the vectors are not equal.

\ **Note:** Due to floating-point precision errors, consider using :ref:`is_equal_approx<class_AABB_method_is_equal_approx>` instead, which is more reliable.

----

.. _class_AABB_operator_mul_AABB:

- :ref:`AABB<class_AABB>` **operator *** **(** :ref:`Transform3D<class_Transform3D>` right **)**

Inversely transforms (multiplies) the ``AABB`` by the given :ref:`Transform3D<class_Transform3D>` transformation matrix.

----

.. _class_AABB_operator_eq_bool:

- :ref:`bool<class_bool>` **operator ==** **(** **)**

----

- :ref:`bool<class_bool>` **operator ==** **(** :ref:`AABB<class_AABB>` right **)**

Returns ``true`` if the AABBs are exactly equal.

\ **Note:** Due to floating-point precision errors, consider using :ref:`is_equal_approx<class_AABB_method_is_equal_approx>` instead, which is more reliable.

.. |virtual| replace:: :abbr:`virtual (This method should typically be overridden by the user to have any effect.)`
.. |const| replace:: :abbr:`const (This method has no side effects. It doesn't modify any of the instance's member variables.)`
.. |vararg| replace:: :abbr:`vararg (This method accepts any number of arguments after the ones described here.)`
.. |constructor| replace:: :abbr:`constructor (This method is used to construct a type.)`
.. |static| replace:: :abbr:`static (This method doesn't need an instance to be called, so it can be called directly using the class name.)`
.. |operator| replace:: :abbr:`operator (This method describes a valid operator to use with this type as left-hand operand.)`