godot-docs/classes/class_physicsdirectbodystate2d.rst

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.. _class_PhysicsDirectBodyState2D:

PhysicsDirectBodyState2D
========================

**Inherits:** :ref:`Object<class_Object>`

Direct access object to a physics body in the :ref:`PhysicsServer2D<class_PhysicsServer2D>`.

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

Provides direct access to a physics body in the :ref:`PhysicsServer2D<class_PhysicsServer2D>`, allowing safe changes to physics properties. This object is passed via the direct state callback of dynamic bodies, and is intended for changing the direct state of that body. See :ref:`RigidDynamicBody2D._integrate_forces<class_RigidDynamicBody2D_method__integrate_forces>`.

Tutorials
---------

- :doc:`Physics introduction <../tutorials/physics/physics_introduction>`

- :doc:`Ray-casting <../tutorials/physics/ray-casting>`

Properties
----------

+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`             | :ref:`angular_velocity<class_PhysicsDirectBodyState2D_property_angular_velocity>`         |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`center_of_mass<class_PhysicsDirectBodyState2D_property_center_of_mass>`             |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`center_of_mass_local<class_PhysicsDirectBodyState2D_property_center_of_mass_local>` |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`             | :ref:`inverse_inertia<class_PhysicsDirectBodyState2D_property_inverse_inertia>`           |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`             | :ref:`inverse_mass<class_PhysicsDirectBodyState2D_property_inverse_mass>`                 |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`linear_velocity<class_PhysicsDirectBodyState2D_property_linear_velocity>`           |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`               | :ref:`sleeping<class_PhysicsDirectBodyState2D_property_sleeping>`                         |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`             | :ref:`step<class_PhysicsDirectBodyState2D_property_step>`                                 |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`             | :ref:`total_angular_damp<class_PhysicsDirectBodyState2D_property_total_angular_damp>`     |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`total_gravity<class_PhysicsDirectBodyState2D_property_total_gravity>`               |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`             | :ref:`total_linear_damp<class_PhysicsDirectBodyState2D_property_total_linear_damp>`       |
+---------------------------------------+-------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`transform<class_PhysicsDirectBodyState2D_property_transform>`                       |
+---------------------------------------+-------------------------------------------------------------------------------------------+

Methods
-------

+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`add_constant_central_force<class_PhysicsDirectBodyState2D_method_add_constant_central_force>` **(** :ref:`Vector2<class_Vector2>` force=Vector2(0, 0) **)**                         |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`add_constant_force<class_PhysicsDirectBodyState2D_method_add_constant_force>` **(** :ref:`Vector2<class_Vector2>` force, :ref:`Vector2<class_Vector2>` position=Vector2(0, 0) **)** |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`add_constant_torque<class_PhysicsDirectBodyState2D_method_add_constant_torque>` **(** :ref:`float<class_float>` torque **)**                                                        |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`apply_central_force<class_PhysicsDirectBodyState2D_method_apply_central_force>` **(** :ref:`Vector2<class_Vector2>` force=Vector2(0, 0) **)**                                       |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`apply_central_impulse<class_PhysicsDirectBodyState2D_method_apply_central_impulse>` **(** :ref:`Vector2<class_Vector2>` impulse **)**                                               |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`apply_force<class_PhysicsDirectBodyState2D_method_apply_force>` **(** :ref:`Vector2<class_Vector2>` force, :ref:`Vector2<class_Vector2>` position=Vector2(0, 0) **)**               |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`apply_impulse<class_PhysicsDirectBodyState2D_method_apply_impulse>` **(** :ref:`Vector2<class_Vector2>` impulse, :ref:`Vector2<class_Vector2>` position=Vector2(0, 0) **)**         |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`apply_torque<class_PhysicsDirectBodyState2D_method_apply_torque>` **(** :ref:`float<class_float>` torque **)**                                                                      |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`apply_torque_impulse<class_PhysicsDirectBodyState2D_method_apply_torque_impulse>` **(** :ref:`float<class_float>` impulse **)**                                                     |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`                                     | :ref:`get_constant_force<class_PhysicsDirectBodyState2D_method_get_constant_force>` **(** **)** |const|                                                                                   |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`                                         | :ref:`get_constant_torque<class_PhysicsDirectBodyState2D_method_get_constant_torque>` **(** **)** |const|                                                                                 |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`RID<class_RID>`                                             | :ref:`get_contact_collider<class_PhysicsDirectBodyState2D_method_get_contact_collider>` **(** :ref:`int<class_int>` contact_idx **)** |const|                                             |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>`                                             | :ref:`get_contact_collider_id<class_PhysicsDirectBodyState2D_method_get_contact_collider_id>` **(** :ref:`int<class_int>` contact_idx **)** |const|                                       |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Object<class_Object>`                                       | :ref:`get_contact_collider_object<class_PhysicsDirectBodyState2D_method_get_contact_collider_object>` **(** :ref:`int<class_int>` contact_idx **)** |const|                               |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`                                     | :ref:`get_contact_collider_position<class_PhysicsDirectBodyState2D_method_get_contact_collider_position>` **(** :ref:`int<class_int>` contact_idx **)** |const|                           |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>`                                             | :ref:`get_contact_collider_shape<class_PhysicsDirectBodyState2D_method_get_contact_collider_shape>` **(** :ref:`int<class_int>` contact_idx **)** |const|                                 |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`                                     | :ref:`get_contact_collider_velocity_at_position<class_PhysicsDirectBodyState2D_method_get_contact_collider_velocity_at_position>` **(** :ref:`int<class_int>` contact_idx **)** |const|   |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>`                                             | :ref:`get_contact_count<class_PhysicsDirectBodyState2D_method_get_contact_count>` **(** **)** |const|                                                                                     |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`                                     | :ref:`get_contact_local_normal<class_PhysicsDirectBodyState2D_method_get_contact_local_normal>` **(** :ref:`int<class_int>` contact_idx **)** |const|                                     |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`                                     | :ref:`get_contact_local_position<class_PhysicsDirectBodyState2D_method_get_contact_local_position>` **(** :ref:`int<class_int>` contact_idx **)** |const|                                 |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>`                                             | :ref:`get_contact_local_shape<class_PhysicsDirectBodyState2D_method_get_contact_local_shape>` **(** :ref:`int<class_int>` contact_idx **)** |const|                                       |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`PhysicsDirectSpaceState2D<class_PhysicsDirectSpaceState2D>` | :ref:`get_space_state<class_PhysicsDirectBodyState2D_method_get_space_state>` **(** **)**                                                                                                 |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`                                     | :ref:`get_velocity_at_local_position<class_PhysicsDirectBodyState2D_method_get_velocity_at_local_position>` **(** :ref:`Vector2<class_Vector2>` local_position **)** |const|              |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`integrate_forces<class_PhysicsDirectBodyState2D_method_integrate_forces>` **(** **)**                                                                                               |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`set_constant_force<class_PhysicsDirectBodyState2D_method_set_constant_force>` **(** :ref:`Vector2<class_Vector2>` force **)**                                                       |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| void                                                              | :ref:`set_constant_torque<class_PhysicsDirectBodyState2D_method_set_constant_torque>` **(** :ref:`float<class_float>` torque **)**                                                        |
+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+

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

.. _class_PhysicsDirectBodyState2D_property_angular_velocity:

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

+----------+-----------------------------+
| *Setter* | set_angular_velocity(value) |
+----------+-----------------------------+
| *Getter* | get_angular_velocity()      |
+----------+-----------------------------+

The body's rotational velocity in *radians* per second.

----

.. _class_PhysicsDirectBodyState2D_property_center_of_mass:

- :ref:`Vector2<class_Vector2>` **center_of_mass**

+----------+----------------------+
| *Getter* | get_center_of_mass() |
+----------+----------------------+

The body's center of mass position relative to the body's center in the global coordinate system.

----

.. _class_PhysicsDirectBodyState2D_property_center_of_mass_local:

- :ref:`Vector2<class_Vector2>` **center_of_mass_local**

+----------+----------------------------+
| *Getter* | get_center_of_mass_local() |
+----------+----------------------------+

The body's center of mass position in the body's local coordinate system.

----

.. _class_PhysicsDirectBodyState2D_property_inverse_inertia:

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

+----------+-----------------------+
| *Getter* | get_inverse_inertia() |
+----------+-----------------------+

The inverse of the inertia of the body.

----

.. _class_PhysicsDirectBodyState2D_property_inverse_mass:

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

+----------+--------------------+
| *Getter* | get_inverse_mass() |
+----------+--------------------+

The inverse of the mass of the body.

----

.. _class_PhysicsDirectBodyState2D_property_linear_velocity:

- :ref:`Vector2<class_Vector2>` **linear_velocity**

+----------+----------------------------+
| *Setter* | set_linear_velocity(value) |
+----------+----------------------------+
| *Getter* | get_linear_velocity()      |
+----------+----------------------------+

The body's linear velocity in pixels per second.

----

.. _class_PhysicsDirectBodyState2D_property_sleeping:

- :ref:`bool<class_bool>` **sleeping**

+----------+------------------------+
| *Setter* | set_sleep_state(value) |
+----------+------------------------+
| *Getter* | is_sleeping()          |
+----------+------------------------+

If ``true``, this body is currently sleeping (not active).

----

.. _class_PhysicsDirectBodyState2D_property_step:

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

+----------+------------+
| *Getter* | get_step() |
+----------+------------+

The timestep (delta) used for the simulation.

----

.. _class_PhysicsDirectBodyState2D_property_total_angular_damp:

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

+----------+--------------------------+
| *Getter* | get_total_angular_damp() |
+----------+--------------------------+

The rate at which the body stops rotating, if there are not any other forces moving it.

----

.. _class_PhysicsDirectBodyState2D_property_total_gravity:

- :ref:`Vector2<class_Vector2>` **total_gravity**

+----------+---------------------+
| *Getter* | get_total_gravity() |
+----------+---------------------+

The total gravity vector being currently applied to this body.

----

.. _class_PhysicsDirectBodyState2D_property_total_linear_damp:

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

+----------+-------------------------+
| *Getter* | get_total_linear_damp() |
+----------+-------------------------+

The rate at which the body stops moving, if there are not any other forces moving it.

----

.. _class_PhysicsDirectBodyState2D_property_transform:

- :ref:`Transform2D<class_Transform2D>` **transform**

+----------+----------------------+
| *Setter* | set_transform(value) |
+----------+----------------------+
| *Getter* | get_transform()      |
+----------+----------------------+

The body's transformation matrix.

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

.. _class_PhysicsDirectBodyState2D_method_add_constant_central_force:

- void **add_constant_central_force** **(** :ref:`Vector2<class_Vector2>` force=Vector2(0, 0) **)**

Adds a constant directional force without affecting rotation that keeps being applied over time until cleared with ``constant_force = Vector2(0, 0)``.

This is equivalent to using :ref:`add_constant_force<class_PhysicsDirectBodyState2D_method_add_constant_force>` at the body's center of mass.

----

.. _class_PhysicsDirectBodyState2D_method_add_constant_force:

- void **add_constant_force** **(** :ref:`Vector2<class_Vector2>` force, :ref:`Vector2<class_Vector2>` position=Vector2(0, 0) **)**

Adds a constant positioned force to the body that keeps being applied over time until cleared with ``constant_force = Vector2(0, 0)``.

\ ``position`` is the offset from the body origin in global coordinates.

----

.. _class_PhysicsDirectBodyState2D_method_add_constant_torque:

- void **add_constant_torque** **(** :ref:`float<class_float>` torque **)**

Adds a constant rotational force without affecting position that keeps being applied over time until cleared with ``constant_torque = 0``.

----

.. _class_PhysicsDirectBodyState2D_method_apply_central_force:

- void **apply_central_force** **(** :ref:`Vector2<class_Vector2>` force=Vector2(0, 0) **)**

Applies a directional force without affecting rotation. A force is time dependent and meant to be applied every physics update.

This is equivalent to using :ref:`apply_force<class_PhysicsDirectBodyState2D_method_apply_force>` at the body's center of mass.

----

.. _class_PhysicsDirectBodyState2D_method_apply_central_impulse:

- void **apply_central_impulse** **(** :ref:`Vector2<class_Vector2>` impulse **)**

Applies a directional impulse without affecting rotation.

An impulse is time-independent! Applying an impulse every frame would result in a framerate-dependent force. For this reason, it should only be used when simulating one-time impacts (use the "_force" functions otherwise).

This is equivalent to using :ref:`apply_impulse<class_PhysicsDirectBodyState2D_method_apply_impulse>` at the body's center of mass.

----

.. _class_PhysicsDirectBodyState2D_method_apply_force:

- void **apply_force** **(** :ref:`Vector2<class_Vector2>` force, :ref:`Vector2<class_Vector2>` position=Vector2(0, 0) **)**

Applies a positioned force to the body. A force is time dependent and meant to be applied every physics update.

\ ``position`` is the offset from the body origin in global coordinates.

----

.. _class_PhysicsDirectBodyState2D_method_apply_impulse:

- void **apply_impulse** **(** :ref:`Vector2<class_Vector2>` impulse, :ref:`Vector2<class_Vector2>` position=Vector2(0, 0) **)**

Applies a positioned impulse to the body.

An impulse is time-independent! Applying an impulse every frame would result in a framerate-dependent force. For this reason, it should only be used when simulating one-time impacts (use the "_force" functions otherwise).

\ ``position`` is the offset from the body origin in global coordinates.

----

.. _class_PhysicsDirectBodyState2D_method_apply_torque:

- void **apply_torque** **(** :ref:`float<class_float>` torque **)**

Applies a rotational force without affecting position. A force is time dependent and meant to be applied every physics update.

----

.. _class_PhysicsDirectBodyState2D_method_apply_torque_impulse:

- void **apply_torque_impulse** **(** :ref:`float<class_float>` impulse **)**

Applies a rotational impulse to the body without affecting the position.

An impulse is time-independent! Applying an impulse every frame would result in a framerate-dependent force. For this reason, it should only be used when simulating one-time impacts (use the "_force" functions otherwise).

----

.. _class_PhysicsDirectBodyState2D_method_get_constant_force:

- :ref:`Vector2<class_Vector2>` **get_constant_force** **(** **)** |const|

Returns the body's total constant positional forces applied during each physics update.

See :ref:`add_constant_force<class_PhysicsDirectBodyState2D_method_add_constant_force>` and :ref:`add_constant_central_force<class_PhysicsDirectBodyState2D_method_add_constant_central_force>`.

----

.. _class_PhysicsDirectBodyState2D_method_get_constant_torque:

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

Returns the body's total constant rotational forces applied during each physics update.

See :ref:`add_constant_torque<class_PhysicsDirectBodyState2D_method_add_constant_torque>`.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_collider:

- :ref:`RID<class_RID>` **get_contact_collider** **(** :ref:`int<class_int>` contact_idx **)** |const|

Returns the collider's :ref:`RID<class_RID>`.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_collider_id:

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

Returns the collider's object id.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_collider_object:

- :ref:`Object<class_Object>` **get_contact_collider_object** **(** :ref:`int<class_int>` contact_idx **)** |const|

Returns the collider object. This depends on how it was created (will return a scene node if such was used to create it).

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_collider_position:

- :ref:`Vector2<class_Vector2>` **get_contact_collider_position** **(** :ref:`int<class_int>` contact_idx **)** |const|

Returns the contact position in the collider.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_collider_shape:

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

Returns the collider's shape index.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_collider_velocity_at_position:

- :ref:`Vector2<class_Vector2>` **get_contact_collider_velocity_at_position** **(** :ref:`int<class_int>` contact_idx **)** |const|

Returns the linear velocity vector at the collider's contact point.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_count:

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

Returns the number of contacts this body has with other bodies.

\ **Note:** By default, this returns 0 unless bodies are configured to monitor contacts. See :ref:`RigidDynamicBody2D.contact_monitor<class_RigidDynamicBody2D_property_contact_monitor>`.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_local_normal:

- :ref:`Vector2<class_Vector2>` **get_contact_local_normal** **(** :ref:`int<class_int>` contact_idx **)** |const|

Returns the local normal at the contact point.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_local_position:

- :ref:`Vector2<class_Vector2>` **get_contact_local_position** **(** :ref:`int<class_int>` contact_idx **)** |const|

Returns the local position of the contact point.

----

.. _class_PhysicsDirectBodyState2D_method_get_contact_local_shape:

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

Returns the local shape index of the collision.

----

.. _class_PhysicsDirectBodyState2D_method_get_space_state:

- :ref:`PhysicsDirectSpaceState2D<class_PhysicsDirectSpaceState2D>` **get_space_state** **(** **)**

Returns the current state of the space, useful for queries.

----

.. _class_PhysicsDirectBodyState2D_method_get_velocity_at_local_position:

- :ref:`Vector2<class_Vector2>` **get_velocity_at_local_position** **(** :ref:`Vector2<class_Vector2>` local_position **)** |const|

Returns the body's velocity at the given relative position, including both translation and rotation.

----

.. _class_PhysicsDirectBodyState2D_method_integrate_forces:

- void **integrate_forces** **(** **)**

Calls the built-in force integration code.

----

.. _class_PhysicsDirectBodyState2D_method_set_constant_force:

- void **set_constant_force** **(** :ref:`Vector2<class_Vector2>` force **)**

Sets the body's total constant positional forces applied during each physics update.

See :ref:`add_constant_force<class_PhysicsDirectBodyState2D_method_add_constant_force>` and :ref:`add_constant_central_force<class_PhysicsDirectBodyState2D_method_add_constant_central_force>`.

----

.. _class_PhysicsDirectBodyState2D_method_set_constant_torque:

- void **set_constant_torque** **(** :ref:`float<class_float>` torque **)**

Sets the body's total constant rotational forces applied during each physics update.

See :ref:`add_constant_torque<class_PhysicsDirectBodyState2D_method_add_constant_torque>`.

.. |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.)`