godot-docs/classes/class_vector2.rst

:github_url: hide

.. Generated automatically by doc/tools/make_rst.py in Godot's source tree.
.. DO NOT EDIT THIS FILE, but the Vector2.xml source instead.
.. The source is found in doc/classes or modules/<name>/doc_classes.

.. _class_Vector2:

Vector2
=======

Vector used for 2D math using floating point coordinates.

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

2-element structure that can be used to represent positions in 2D space or any other pair of numeric values.

It uses floating-point coordinates. See :ref:`Vector2i<class_Vector2i>` for its integer counterpart.

**Note:** In a boolean context, a Vector2 will evaluate to ``false`` if it's equal to ``Vector2(0, 0)``. Otherwise, a Vector2 will always evaluate to ``true``.

Tutorials
---------

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

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

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

- `3Blue1Brown Essence of Linear Algebra <https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab>`__

- `Matrix Transform Demo <https://godotengine.org/asset-library/asset/584>`__

- `All 2D Demos <https://github.com/godotengine/godot-demo-projects/tree/master/2d>`__

Properties
----------

+---------------------------+------------------------------------+---------+
| :ref:`float<class_float>` | :ref:`x<class_Vector2_property_x>` | ``0.0`` |
+---------------------------+------------------------------------+---------+
| :ref:`float<class_float>` | :ref:`y<class_Vector2_property_y>` | ``0.0`` |
+---------------------------+------------------------------------+---------+

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

+-------------------------------+------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`Vector2<class_Vector2_constructor_Vector2>` **(** **)**                                                          |
+-------------------------------+------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`Vector2<class_Vector2_constructor_Vector2>` **(** :ref:`Vector2<class_Vector2>` from **)**                       |
+-------------------------------+------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`Vector2<class_Vector2_constructor_Vector2>` **(** :ref:`Vector2i<class_Vector2i>` from **)**                     |
+-------------------------------+------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`Vector2<class_Vector2_constructor_Vector2>` **(** :ref:`float<class_float>` x, :ref:`float<class_float>` y **)** |
+-------------------------------+------------------------------------------------------------------------------------------------------------------------+

Methods
-------

+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`abs<class_Vector2_method_abs>` **(** **)** |const|                                                                                                                                                                          |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`angle<class_Vector2_method_angle>` **(** **)** |const|                                                                                                                                                                      |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`angle_to<class_Vector2_method_angle_to>` **(** :ref:`Vector2<class_Vector2>` to **)** |const|                                                                                                                               |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`angle_to_point<class_Vector2_method_angle_to_point>` **(** :ref:`Vector2<class_Vector2>` to **)** |const|                                                                                                                   |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`aspect<class_Vector2_method_aspect>` **(** **)** |const|                                                                                                                                                                    |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`bounce<class_Vector2_method_bounce>` **(** :ref:`Vector2<class_Vector2>` n **)** |const|                                                                                                                                    |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`ceil<class_Vector2_method_ceil>` **(** **)** |const|                                                                                                                                                                        |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`clamp<class_Vector2_method_clamp>` **(** :ref:`Vector2<class_Vector2>` min, :ref:`Vector2<class_Vector2>` max **)** |const|                                                                                                 |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`cross<class_Vector2_method_cross>` **(** :ref:`Vector2<class_Vector2>` with **)** |const|                                                                                                                                   |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`cubic_interpolate<class_Vector2_method_cubic_interpolate>` **(** :ref:`Vector2<class_Vector2>` b, :ref:`Vector2<class_Vector2>` pre_a, :ref:`Vector2<class_Vector2>` post_b, :ref:`float<class_float>` weight **)** |const| |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`direction_to<class_Vector2_method_direction_to>` **(** :ref:`Vector2<class_Vector2>` b **)** |const|                                                                                                                        |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`distance_squared_to<class_Vector2_method_distance_squared_to>` **(** :ref:`Vector2<class_Vector2>` to **)** |const|                                                                                                         |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`distance_to<class_Vector2_method_distance_to>` **(** :ref:`Vector2<class_Vector2>` to **)** |const|                                                                                                                         |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`dot<class_Vector2_method_dot>` **(** :ref:`Vector2<class_Vector2>` with **)** |const|                                                                                                                                       |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`floor<class_Vector2_method_floor>` **(** **)** |const|                                                                                                                                                                      |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`from_angle<class_Vector2_method_from_angle>` **(** :ref:`float<class_float>` angle **)** |static|                                                                                                                           |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`is_equal_approx<class_Vector2_method_is_equal_approx>` **(** :ref:`Vector2<class_Vector2>` to **)** |const|                                                                                                                 |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`is_normalized<class_Vector2_method_is_normalized>` **(** **)** |const|                                                                                                                                                      |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`length<class_Vector2_method_length>` **(** **)** |const|                                                                                                                                                                    |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`length_squared<class_Vector2_method_length_squared>` **(** **)** |const|                                                                                                                                                    |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`lerp<class_Vector2_method_lerp>` **(** :ref:`Vector2<class_Vector2>` to, :ref:`float<class_float>` weight **)** |const|                                                                                                     |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`limit_length<class_Vector2_method_limit_length>` **(** :ref:`float<class_float>` length=1.0 **)** |const|                                                                                                                   |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`move_toward<class_Vector2_method_move_toward>` **(** :ref:`Vector2<class_Vector2>` to, :ref:`float<class_float>` delta **)** |const|                                                                                        |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`normalized<class_Vector2_method_normalized>` **(** **)** |const|                                                                                                                                                            |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`orthogonal<class_Vector2_method_orthogonal>` **(** **)** |const|                                                                                                                                                            |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`posmod<class_Vector2_method_posmod>` **(** :ref:`float<class_float>` mod **)** |const|                                                                                                                                      |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`posmodv<class_Vector2_method_posmodv>` **(** :ref:`Vector2<class_Vector2>` modv **)** |const|                                                                                                                               |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`project<class_Vector2_method_project>` **(** :ref:`Vector2<class_Vector2>` b **)** |const|                                                                                                                                  |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`reflect<class_Vector2_method_reflect>` **(** :ref:`Vector2<class_Vector2>` n **)** |const|                                                                                                                                  |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`rotated<class_Vector2_method_rotated>` **(** :ref:`float<class_float>` phi **)** |const|                                                                                                                                    |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`round<class_Vector2_method_round>` **(** **)** |const|                                                                                                                                                                      |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`sign<class_Vector2_method_sign>` **(** **)** |const|                                                                                                                                                                        |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`slerp<class_Vector2_method_slerp>` **(** :ref:`Vector2<class_Vector2>` to, :ref:`float<class_float>` weight **)** |const|                                                                                                   |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`slide<class_Vector2_method_slide>` **(** :ref:`Vector2<class_Vector2>` n **)** |const|                                                                                                                                      |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`snapped<class_Vector2_method_snapped>` **(** :ref:`Vector2<class_Vector2>` step **)** |const|                                                                                                                               |
+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+

Operators
---------

+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator !=<class_Vector2_operator_neq_bool>` **(** **)**                                               |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator !=<class_Vector2_operator_neq_bool>` **(** :ref:`Vector2<class_Vector2>` right **)**           |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator *<class_Vector2_operator_mul_Vector2>` **(** :ref:`Vector2<class_Vector2>` right **)**         |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator *<class_Vector2_operator_mul_Vector2>` **(** :ref:`Transform2D<class_Transform2D>` right **)** |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator *<class_Vector2_operator_mul_Vector2>` **(** :ref:`float<class_float>` right **)**             |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator *<class_Vector2_operator_mul_Vector2>` **(** :ref:`int<class_int>` right **)**                 |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator +<class_Vector2_operator_sum_Vector2>` **(** :ref:`Vector2<class_Vector2>` right **)**         |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator -<class_Vector2_operator_dif_Vector2>` **(** :ref:`Vector2<class_Vector2>` right **)**         |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator /<class_Vector2_operator_div_Vector2>` **(** :ref:`Vector2<class_Vector2>` right **)**         |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator /<class_Vector2_operator_div_Vector2>` **(** :ref:`float<class_float>` right **)**             |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator /<class_Vector2_operator_div_Vector2>` **(** :ref:`int<class_int>` right **)**                 |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator <<class_Vector2_operator_lt_bool>` **(** :ref:`Vector2<class_Vector2>` right **)**             |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator <=<class_Vector2_operator_lte_bool>` **(** :ref:`Vector2<class_Vector2>` right **)**           |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator ==<class_Vector2_operator_eq_bool>` **(** **)**                                                |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator ==<class_Vector2_operator_eq_bool>` **(** :ref:`Vector2<class_Vector2>` right **)**            |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator ><class_Vector2_operator_gt_bool>` **(** :ref:`Vector2<class_Vector2>` right **)**             |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`       | :ref:`operator >=<class_Vector2_operator_gte_bool>` **(** :ref:`Vector2<class_Vector2>` right **)**           |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`     | :ref:`operator []<class_Vector2_operator_idx_float>` **(** :ref:`int<class_int>` index **)**                  |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator unary+<class_Vector2_operator_unplus_Vector2>` **(** **)**                                     |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>` | :ref:`operator unary-<class_Vector2_operator_unminus_Vector2>` **(** **)**                                    |
+-------------------------------+---------------------------------------------------------------------------------------------------------------+

Constants
---------

.. _class_Vector2_constant_AXIS_X:

.. _class_Vector2_constant_AXIS_Y:

.. _class_Vector2_constant_ZERO:

.. _class_Vector2_constant_ONE:

.. _class_Vector2_constant_INF:

.. _class_Vector2_constant_LEFT:

.. _class_Vector2_constant_RIGHT:

.. _class_Vector2_constant_UP:

.. _class_Vector2_constant_DOWN:

- **AXIS_X** = **0** --- Enumerated value for the X axis.

- **AXIS_Y** = **1** --- Enumerated value for the Y axis.

- **ZERO** = **Vector2(0, 0)** --- Zero vector, a vector with all components set to ``0``.

- **ONE** = **Vector2(1, 1)** --- One vector, a vector with all components set to ``1``.

- **INF** = **Vector2(inf, inf)** --- Infinity vector, a vector with all components set to :ref:`@GDScript.INF<class_@GDScript_constant_INF>`.

- **LEFT** = **Vector2(-1, 0)** --- Left unit vector. Represents the direction of left.

- **RIGHT** = **Vector2(1, 0)** --- Right unit vector. Represents the direction of right.

- **UP** = **Vector2(0, -1)** --- Up unit vector. Y is down in 2D, so this vector points -Y.

- **DOWN** = **Vector2(0, 1)** --- Down unit vector. Y is down in 2D, so this vector points +Y.

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

.. _class_Vector2_property_x:

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

+-----------+---------+
| *Default* | ``0.0`` |
+-----------+---------+

The vector's X component. Also accessible by using the index position ``[0]``.

----

.. _class_Vector2_property_y:

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

+-----------+---------+
| *Default* | ``0.0`` |
+-----------+---------+

The vector's Y component. Also accessible by using the index position ``[1]``.

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

.. _class_Vector2_constructor_Vector2:

- :ref:`Vector2<class_Vector2>` **Vector2** **(** **)**

Constructs a default-initialized ``Vector2`` with all components set to ``0``.

----

- :ref:`Vector2<class_Vector2>` **Vector2** **(** :ref:`Vector2<class_Vector2>` from **)**

Constructs a ``Vector2`` as a copy of the given ``Vector2``.

----

- :ref:`Vector2<class_Vector2>` **Vector2** **(** :ref:`Vector2i<class_Vector2i>` from **)**

Constructs a new ``Vector2`` from :ref:`Vector2i<class_Vector2i>`.

----

- :ref:`Vector2<class_Vector2>` **Vector2** **(** :ref:`float<class_float>` x, :ref:`float<class_float>` y **)**

Constructs a new ``Vector2`` from the given ``x`` and ``y``.

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

.. _class_Vector2_method_abs:

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

Returns a new vector with all components in absolute values (i.e. positive).

----

.. _class_Vector2_method_angle:

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

Returns this vector's angle with respect to the positive X axis, or ``(1, 0)`` vector, in radians.

For example, ``Vector2.RIGHT.angle()`` will return zero, ``Vector2.DOWN.angle()`` will return ``PI / 2`` (a quarter turn, or 90 degrees), and ``Vector2(1, -1).angle()`` will return ``-PI / 4`` (a negative eighth turn, or -45 degrees).

`Illustration of the returned angle. <https://raw.githubusercontent.com/godotengine/godot-docs/master/img/vector2_angle.png>`__

Equivalent to the result of :ref:`@GlobalScope.atan2<class_@GlobalScope_method_atan2>` when called with the vector's :ref:`y<class_Vector2_property_y>` and :ref:`x<class_Vector2_property_x>` as parameters: ``atan2(y, x)``.

----

.. _class_Vector2_method_angle_to:

- :ref:`float<class_float>` **angle_to** **(** :ref:`Vector2<class_Vector2>` to **)** |const|

Returns the angle to the given vector, in radians.

`Illustration of the returned angle. <https://raw.githubusercontent.com/godotengine/godot-docs/master/img/vector2_angle_to.png>`__

----

.. _class_Vector2_method_angle_to_point:

- :ref:`float<class_float>` **angle_to_point** **(** :ref:`Vector2<class_Vector2>` to **)** |const|

Returns the angle between the line connecting the two points and the X axis, in radians.

``a.angle_to_point(b)`` is equivalent of doing ``(b - a).angle()``.

`Illustration of the returned angle. <https://raw.githubusercontent.com/godotengine/godot-docs/master/img/vector2_angle_to_point.png>`__

----

.. _class_Vector2_method_aspect:

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

Returns the aspect ratio of this vector, the ratio of :ref:`x<class_Vector2_property_x>` to :ref:`y<class_Vector2_property_y>`.

----

.. _class_Vector2_method_bounce:

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

Returns the vector "bounced off" from a plane defined by the given normal.

----

.. _class_Vector2_method_ceil:

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

Returns the vector with all components rounded up (towards positive infinity).

----

.. _class_Vector2_method_clamp:

- :ref:`Vector2<class_Vector2>` **clamp** **(** :ref:`Vector2<class_Vector2>` min, :ref:`Vector2<class_Vector2>` max **)** |const|

Returns a new vector with all components clamped between the components of ``min`` and ``max``, by running :ref:`@GlobalScope.clamp<class_@GlobalScope_method_clamp>` on each component.

----

.. _class_Vector2_method_cross:

- :ref:`float<class_float>` **cross** **(** :ref:`Vector2<class_Vector2>` with **)** |const|

Returns the cross product of this vector and ``with``.

----

.. _class_Vector2_method_cubic_interpolate:

- :ref:`Vector2<class_Vector2>` **cubic_interpolate** **(** :ref:`Vector2<class_Vector2>` b, :ref:`Vector2<class_Vector2>` pre_a, :ref:`Vector2<class_Vector2>` post_b, :ref:`float<class_float>` weight **)** |const|

Cubically interpolates between this vector and ``b`` using ``pre_a`` and ``post_b`` as handles, and returns the result at position ``weight``. ``weight`` is on the range of 0.0 to 1.0, representing the amount of interpolation.

----

.. _class_Vector2_method_direction_to:

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

Returns the normalized vector pointing from this vector to ``b``. This is equivalent to using ``(b - a).normalized()``.

----

.. _class_Vector2_method_distance_squared_to:

- :ref:`float<class_float>` **distance_squared_to** **(** :ref:`Vector2<class_Vector2>` to **)** |const|

Returns the squared distance between this vector and ``b``.

This method runs faster than :ref:`distance_to<class_Vector2_method_distance_to>`, so prefer it if you need to compare vectors or need the squared distance for some formula.

----

.. _class_Vector2_method_distance_to:

- :ref:`float<class_float>` **distance_to** **(** :ref:`Vector2<class_Vector2>` to **)** |const|

Returns the distance between this vector and ``to``.

----

.. _class_Vector2_method_dot:

- :ref:`float<class_float>` **dot** **(** :ref:`Vector2<class_Vector2>` with **)** |const|

Returns the dot product of this vector and ``with``. This can be used to compare the angle between two vectors. For example, this can be used to determine whether an enemy is facing the player.

The dot product will be ``0`` for a straight angle (90 degrees), greater than 0 for angles narrower than 90 degrees and lower than 0 for angles wider than 90 degrees.

When using unit (normalized) vectors, the result will always be between ``-1.0`` (180 degree angle) when the vectors are facing opposite directions, and ``1.0`` (0 degree angle) when the vectors are aligned.

**Note:** ``a.dot(b)`` is equivalent to ``b.dot(a)``.

----

.. _class_Vector2_method_floor:

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

Returns the vector with all components rounded down (towards negative infinity).

----

.. _class_Vector2_method_from_angle:

- :ref:`Vector2<class_Vector2>` **from_angle** **(** :ref:`float<class_float>` angle **)** |static|

Creates a unit ``Vector2`` rotated to the given ``angle`` in radians. This is equivalent to doing ``Vector2(cos(angle), sin(angle))`` or ``Vector2.RIGHT.rotated(angle)``.

::

    print(Vector2.from_angle(0)) # Prints (1, 0).
    print(Vector2(1, 0).angle()) # Prints 0, which is the angle used above.
    print(Vector2.from_angle(PI / 2)) # Prints (0, 1).

----

.. _class_Vector2_method_is_equal_approx:

- :ref:`bool<class_bool>` **is_equal_approx** **(** :ref:`Vector2<class_Vector2>` to **)** |const|

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

----

.. _class_Vector2_method_is_normalized:

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

Returns ``true`` if the vector is normalized, ``false`` otherwise.

----

.. _class_Vector2_method_length:

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

Returns the length (magnitude) of this vector.

----

.. _class_Vector2_method_length_squared:

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

Returns the squared length (squared magnitude) of this vector.

This method runs faster than :ref:`length<class_Vector2_method_length>`, so prefer it if you need to compare vectors or need the squared distance for some formula.

----

.. _class_Vector2_method_lerp:

- :ref:`Vector2<class_Vector2>` **lerp** **(** :ref:`Vector2<class_Vector2>` to, :ref:`float<class_float>` weight **)** |const|

Returns the result of the linear interpolation between this vector and ``to`` by amount ``weight``. ``weight`` is on the range of 0.0 to 1.0, representing the amount of interpolation.

----

.. _class_Vector2_method_limit_length:

- :ref:`Vector2<class_Vector2>` **limit_length** **(** :ref:`float<class_float>` length=1.0 **)** |const|

Returns the vector with a maximum length by limiting its length to ``length``.

----

.. _class_Vector2_method_move_toward:

- :ref:`Vector2<class_Vector2>` **move_toward** **(** :ref:`Vector2<class_Vector2>` to, :ref:`float<class_float>` delta **)** |const|

Moves the vector toward ``to`` by the fixed ``delta`` amount.

----

.. _class_Vector2_method_normalized:

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

Returns the vector scaled to unit length. Equivalent to ``v / v.length()``.

----

.. _class_Vector2_method_orthogonal:

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

Returns a perpendicular vector rotated 90 degrees counter-clockwise compared to the original, with the same length.

----

.. _class_Vector2_method_posmod:

- :ref:`Vector2<class_Vector2>` **posmod** **(** :ref:`float<class_float>` mod **)** |const|

Returns a vector composed of the :ref:`@GlobalScope.fposmod<class_@GlobalScope_method_fposmod>` of this vector's components and ``mod``.

----

.. _class_Vector2_method_posmodv:

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

Returns a vector composed of the :ref:`@GlobalScope.fposmod<class_@GlobalScope_method_fposmod>` of this vector's components and ``modv``'s components.

----

.. _class_Vector2_method_project:

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

Returns the vector projected onto the vector ``b``.

----

.. _class_Vector2_method_reflect:

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

Returns the vector reflected from a plane defined by the given normal.

----

.. _class_Vector2_method_rotated:

- :ref:`Vector2<class_Vector2>` **rotated** **(** :ref:`float<class_float>` phi **)** |const|

Returns the vector rotated by ``phi`` radians. See also :ref:`@GlobalScope.deg2rad<class_@GlobalScope_method_deg2rad>`.

----

.. _class_Vector2_method_round:

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

Returns the vector with all components rounded to the nearest integer, with halfway cases rounded away from zero.

----

.. _class_Vector2_method_sign:

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

Returns the vector with each component set to one or negative one, depending on the signs of the components, or zero if the component is zero, by calling :ref:`@GlobalScope.sign<class_@GlobalScope_method_sign>` on each component.

----

.. _class_Vector2_method_slerp:

- :ref:`Vector2<class_Vector2>` **slerp** **(** :ref:`Vector2<class_Vector2>` to, :ref:`float<class_float>` weight **)** |const|

Returns the result of spherical linear interpolation between this vector and ``to``, by amount ``weight``. ``weight`` is on the range of 0.0 to 1.0, representing the amount of interpolation.

**Note:** Both vectors must be normalized.

----

.. _class_Vector2_method_slide:

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

Returns this vector slid along a plane defined by the given normal.

----

.. _class_Vector2_method_snapped:

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

Returns this vector with each component snapped to the nearest multiple of ``step``. This can also be used to round to an arbitrary number of decimals.

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

.. _class_Vector2_operator_neq_bool:

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

----

- :ref:`bool<class_bool>` **operator !=** **(** :ref:`Vector2<class_Vector2>` right **)**

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

**Note:** Due to floating-point precision errors, consider using :ref:`is_equal_approx<class_Vector2_method_is_equal_approx>` instead, which is more reliable.

----

.. _class_Vector2_operator_mul_Vector2:

- :ref:`Vector2<class_Vector2>` **operator *** **(** :ref:`Vector2<class_Vector2>` right **)**

Multiplies each component of the ``Vector2`` by the components of the given ``Vector2``.

::

    print(Vector2(10, 20) * Vector2(3, 4)) # Prints "(30, 80)"

----

- :ref:`Vector2<class_Vector2>` **operator *** **(** :ref:`Transform2D<class_Transform2D>` right **)**

Inversely transforms (multiplies) the ``Vector2`` by the given :ref:`Transform2D<class_Transform2D>` transformation matrix.

----

- :ref:`Vector2<class_Vector2>` **operator *** **(** :ref:`float<class_float>` right **)**

Multiplies each component of the ``Vector2`` by the given :ref:`float<class_float>`.

----

- :ref:`Vector2<class_Vector2>` **operator *** **(** :ref:`int<class_int>` right **)**

Multiplies each component of the ``Vector2`` by the given :ref:`int<class_int>`.

----

.. _class_Vector2_operator_sum_Vector2:

- :ref:`Vector2<class_Vector2>` **operator +** **(** :ref:`Vector2<class_Vector2>` right **)**

Adds each component of the ``Vector2`` by the components of the given ``Vector2``.

::

    print(Vector2(10, 20) + Vector2(3, 4)) # Prints "(13, 24)"

----

.. _class_Vector2_operator_dif_Vector2:

- :ref:`Vector2<class_Vector2>` **operator -** **(** :ref:`Vector2<class_Vector2>` right **)**

Subtracts each component of the ``Vector2`` by the components of the given ``Vector2``.

::

    print(Vector2(10, 20) - Vector2(3, 4)) # Prints "(7, 16)"

----

.. _class_Vector2_operator_div_Vector2:

- :ref:`Vector2<class_Vector2>` **operator /** **(** :ref:`Vector2<class_Vector2>` right **)**

Divides each component of the ``Vector2`` by the components of the given ``Vector2``.

::

    print(Vector2(10, 20) / Vector2(2, 5)) # Prints "(5, 4)"

----

- :ref:`Vector2<class_Vector2>` **operator /** **(** :ref:`float<class_float>` right **)**

Divides each component of the ``Vector2`` by the given :ref:`float<class_float>`.

----

- :ref:`Vector2<class_Vector2>` **operator /** **(** :ref:`int<class_int>` right **)**

Divides each component of the ``Vector2`` by the given :ref:`int<class_int>`.

----

.. _class_Vector2_operator_lt_bool:

- :ref:`bool<class_bool>` **operator <** **(** :ref:`Vector2<class_Vector2>` right **)**

Compares two ``Vector2`` vectors by first checking if the X value of the left vector is less than the X value of the ``right`` vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors. This operator is useful for sorting vectors.

----

.. _class_Vector2_operator_lte_bool:

- :ref:`bool<class_bool>` **operator <=** **(** :ref:`Vector2<class_Vector2>` right **)**

Compares two ``Vector2`` vectors by first checking if the X value of the left vector is less than or equal to the X value of the ``right`` vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors. This operator is useful for sorting vectors.

----

.. _class_Vector2_operator_eq_bool:

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

----

- :ref:`bool<class_bool>` **operator ==** **(** :ref:`Vector2<class_Vector2>` right **)**

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

**Note:** Due to floating-point precision errors, consider using :ref:`is_equal_approx<class_Vector2_method_is_equal_approx>` instead, which is more reliable.

----

.. _class_Vector2_operator_gt_bool:

- :ref:`bool<class_bool>` **operator >** **(** :ref:`Vector2<class_Vector2>` right **)**

Compares two ``Vector2`` vectors by first checking if the X value of the left vector is greater than the X value of the ``right`` vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors. This operator is useful for sorting vectors.

----

.. _class_Vector2_operator_gte_bool:

- :ref:`bool<class_bool>` **operator >=** **(** :ref:`Vector2<class_Vector2>` right **)**

Compares two ``Vector2`` vectors by first checking if the X value of the left vector is greater than or equal to the X value of the ``right`` vector. If the X values are exactly equal, then it repeats this check with the Y values of the two vectors. This operator is useful for sorting vectors.

----

.. _class_Vector2_operator_idx_float:

- :ref:`float<class_float>` **operator []** **(** :ref:`int<class_int>` index **)**

Access vector components using their index. ``v[0]`` is equivalent to ``v.x``, and ``v[1]`` is equivalent to ``v.y``.

----

.. _class_Vector2_operator_unplus_Vector2:

- :ref:`Vector2<class_Vector2>` **operator unary+** **(** **)**

Returns the same value as if the ``+`` was not there. Unary ``+`` does nothing, but sometimes it can make your code more readable.

----

.. _class_Vector2_operator_unminus_Vector2:

- :ref:`Vector2<class_Vector2>` **operator unary-** **(** **)**

Returns the negative value of the ``Vector2``. This is the same as writing ``Vector2(-v.x, -v.y)``. This operation flips the direction of the vector while keeping the same magnitude. With floats, the number zero can be either positive or negative.

.. |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.)`