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293 lines
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ReStructuredText
293 lines
21 KiB
ReStructuredText
.. Generated automatically by doc/tools/makerst.py in Godot's source tree.
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.. DO NOT EDIT THIS FILE, but the Vector3.xml source instead.
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.. The source is found in doc/classes or modules/<name>/doc_classes.
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.. _class_Vector3:
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Vector3
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=======
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**Category:** Built-In Types
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Brief Description
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-----------------
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Vector class, which performs basic 3D vector math operations.
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Methods
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-------
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`Vector3<class_Vector3_Vector3>` **(** :ref:`float<class_float>` x, :ref:`float<class_float>` y, :ref:`float<class_float>` z **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`abs<class_Vector3_abs>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`float<class_float>` | :ref:`angle_to<class_Vector3_angle_to>` **(** :ref:`Vector3<class_Vector3>` to **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`bounce<class_Vector3_bounce>` **(** :ref:`Vector3<class_Vector3>` n **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`ceil<class_Vector3_ceil>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`cross<class_Vector3_cross>` **(** :ref:`Vector3<class_Vector3>` b **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`cubic_interpolate<class_Vector3_cubic_interpolate>` **(** :ref:`Vector3<class_Vector3>` b, :ref:`Vector3<class_Vector3>` pre_a, :ref:`Vector3<class_Vector3>` post_b, :ref:`float<class_float>` t **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`float<class_float>` | :ref:`distance_squared_to<class_Vector3_distance_squared_to>` **(** :ref:`Vector3<class_Vector3>` b **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`float<class_float>` | :ref:`distance_to<class_Vector3_distance_to>` **(** :ref:`Vector3<class_Vector3>` b **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`float<class_float>` | :ref:`dot<class_Vector3_dot>` **(** :ref:`Vector3<class_Vector3>` b **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`floor<class_Vector3_floor>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`inverse<class_Vector3_inverse>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`bool<class_bool>` | :ref:`is_normalized<class_Vector3_is_normalized>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`float<class_float>` | :ref:`length<class_Vector3_length>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`float<class_float>` | :ref:`length_squared<class_Vector3_length_squared>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`linear_interpolate<class_Vector3_linear_interpolate>` **(** :ref:`Vector3<class_Vector3>` b, :ref:`float<class_float>` t **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`int<class_int>` | :ref:`max_axis<class_Vector3_max_axis>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`int<class_int>` | :ref:`min_axis<class_Vector3_min_axis>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`normalized<class_Vector3_normalized>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Basis<class_Basis>` | :ref:`outer<class_Vector3_outer>` **(** :ref:`Vector3<class_Vector3>` b **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`project<class_Vector3_project>` **(** :ref:`Vector3<class_Vector3>` b **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`reflect<class_Vector3_reflect>` **(** :ref:`Vector3<class_Vector3>` n **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`rotated<class_Vector3_rotated>` **(** :ref:`Vector3<class_Vector3>` axis, :ref:`float<class_float>` phi **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`round<class_Vector3_round>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`slerp<class_Vector3_slerp>` **(** :ref:`Vector3<class_Vector3>` b, :ref:`float<class_float>` t **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`slide<class_Vector3_slide>` **(** :ref:`Vector3<class_Vector3>` n **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`snapped<class_Vector3_snapped>` **(** :ref:`Vector3<class_Vector3>` by **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Basis<class_Basis>` | :ref:`to_diagonal_matrix<class_Vector3_to_diagonal_matrix>` **(** **)** |
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+--------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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Constants
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---------
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- **AXIS_X** = **0** --- Enumerated value for the X axis. Returned by :ref:`max_axis<class_Vector3_max_axis>` and :ref:`min_axis<class_Vector3_min_axis>`.
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- **AXIS_Y** = **1** --- Enumerated value for the Y axis.
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- **AXIS_Z** = **2** --- Enumerated value for the Z axis.
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- **ZERO** = **Vector3( 0, 0, 0 )** --- Null vector.
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- **INF** = **Vector3( inf, inf, inf )** --- Infinite vector.
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- **LEFT** = **Vector3( -1, 0, 0 )** --- Left unit vector.
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- **RIGHT** = **Vector3( 1, 0, 0 )** --- Right unit vector.
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- **UP** = **Vector3( 0, 1, 0 )** --- Up unit vector.
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- **DOWN** = **Vector3( 0, -1, 0 )** --- Down unit vector.
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- **FORWARD** = **Vector3( 0, 0, -1 )** --- Forward unit vector.
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- **BACK** = **Vector3( 0, 0, 1 )** --- Back unit vector.
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Description
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-----------
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Vector3 is one of the core classes of the engine, and includes several built-in helper functions to perform basic vector math operations.
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Tutorials
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---------
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- :doc:`../tutorials/math/index`
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Property Descriptions
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---------------------
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.. _class_Vector3_x:
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- :ref:`float<class_float>` **x** - The vector's x component.
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.. _class_Vector3_y:
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- :ref:`float<class_float>` **y** - The vector's y component.
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.. _class_Vector3_z:
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- :ref:`float<class_float>` **z** - The vector's z component.
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Method Descriptions
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-------------------
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.. _class_Vector3_Vector3:
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- :ref:`Vector3<class_Vector3>` **Vector3** **(** :ref:`float<class_float>` x, :ref:`float<class_float>` y, :ref:`float<class_float>` z **)**
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Returns a Vector3 with the given components.
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.. _class_Vector3_abs:
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- :ref:`Vector3<class_Vector3>` **abs** **(** **)**
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Returns a new vector with all components in absolute values (i.e. positive).
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.. _class_Vector3_angle_to:
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- :ref:`float<class_float>` **angle_to** **(** :ref:`Vector3<class_Vector3>` to **)**
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Returns the minimum angle to the given vector.
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.. _class_Vector3_bounce:
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- :ref:`Vector3<class_Vector3>` **bounce** **(** :ref:`Vector3<class_Vector3>` n **)**
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Returns the vector "bounced off" from a plane defined by the given normal.
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.. _class_Vector3_ceil:
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- :ref:`Vector3<class_Vector3>` **ceil** **(** **)**
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Returns a new vector with all components rounded up.
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.. _class_Vector3_cross:
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- :ref:`Vector3<class_Vector3>` **cross** **(** :ref:`Vector3<class_Vector3>` b **)**
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Returns the cross product with ``b``.
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.. _class_Vector3_cubic_interpolate:
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- :ref:`Vector3<class_Vector3>` **cubic_interpolate** **(** :ref:`Vector3<class_Vector3>` b, :ref:`Vector3<class_Vector3>` pre_a, :ref:`Vector3<class_Vector3>` post_b, :ref:`float<class_float>` t **)**
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Performs a cubic interpolation between vectors ``pre_a``, ``a``, ``b``, ``post_b`` (``a`` is current), by the given amount ``t``. ``t`` is in the range of ``0.0 - 1.0``, representing the amount of interpolation.
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.. _class_Vector3_distance_squared_to:
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- :ref:`float<class_float>` **distance_squared_to** **(** :ref:`Vector3<class_Vector3>` b **)**
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Returns the squared distance to ``b``. Prefer this function over :ref:`distance_to<class_Vector3_distance_to>` if you need to sort vectors or need the squared distance for some formula.
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.. _class_Vector3_distance_to:
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- :ref:`float<class_float>` **distance_to** **(** :ref:`Vector3<class_Vector3>` b **)**
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Returns the distance to ``b``.
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.. _class_Vector3_dot:
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- :ref:`float<class_float>` **dot** **(** :ref:`Vector3<class_Vector3>` b **)**
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Returns the dot product with ``b``.
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.. _class_Vector3_floor:
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- :ref:`Vector3<class_Vector3>` **floor** **(** **)**
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Returns a new vector with all components rounded down.
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.. _class_Vector3_inverse:
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- :ref:`Vector3<class_Vector3>` **inverse** **(** **)**
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Returns the inverse of the vector. This is the same as ``Vector3( 1.0 / v.x, 1.0 / v.y, 1.0 / v.z )``.
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.. _class_Vector3_is_normalized:
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- :ref:`bool<class_bool>` **is_normalized** **(** **)**
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Returns ``true`` if the vector is normalized.
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.. _class_Vector3_length:
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- :ref:`float<class_float>` **length** **(** **)**
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Returns the vector's length.
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.. _class_Vector3_length_squared:
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- :ref:`float<class_float>` **length_squared** **(** **)**
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Returns the vector's length squared. Prefer this function over :ref:`length<class_Vector3_length>` if you need to sort vectors or need the squared length for some formula.
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.. _class_Vector3_linear_interpolate:
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- :ref:`Vector3<class_Vector3>` **linear_interpolate** **(** :ref:`Vector3<class_Vector3>` b, :ref:`float<class_float>` t **)**
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Returns the result of the linear interpolation between this vector and ``b`` by amount ``t``. ``t`` is in the range of ``0.0 - 1.0``, representing the amount of interpolation..
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.. _class_Vector3_max_axis:
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- :ref:`int<class_int>` **max_axis** **(** **)**
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Returns the axis of the vector's largest value. See ``AXIS_*`` constants.
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.. _class_Vector3_min_axis:
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- :ref:`int<class_int>` **min_axis** **(** **)**
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Returns the axis of the vector's smallest value. See ``AXIS_*`` constants.
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.. _class_Vector3_normalized:
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- :ref:`Vector3<class_Vector3>` **normalized** **(** **)**
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Returns the vector scaled to unit length. Equivalent to ``v / v.length()``.
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.. _class_Vector3_outer:
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- :ref:`Basis<class_Basis>` **outer** **(** :ref:`Vector3<class_Vector3>` b **)**
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Returns the outer product with ``b``.
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.. _class_Vector3_project:
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- :ref:`Vector3<class_Vector3>` **project** **(** :ref:`Vector3<class_Vector3>` b **)**
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Returns the vector projected onto the vector ``b``.
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.. _class_Vector3_reflect:
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- :ref:`Vector3<class_Vector3>` **reflect** **(** :ref:`Vector3<class_Vector3>` n **)**
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Returns the vector reflected from a plane defined by the given normal.
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.. _class_Vector3_rotated:
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- :ref:`Vector3<class_Vector3>` **rotated** **(** :ref:`Vector3<class_Vector3>` axis, :ref:`float<class_float>` phi **)**
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Rotates the vector around a given axis by ``phi`` radians. The axis must be a normalized vector.
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.. _class_Vector3_round:
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- :ref:`Vector3<class_Vector3>` **round** **(** **)**
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Returns the vector with all components rounded to the nearest integer, with halfway cases rounded away from zero.
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.. _class_Vector3_slerp:
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- :ref:`Vector3<class_Vector3>` **slerp** **(** :ref:`Vector3<class_Vector3>` b, :ref:`float<class_float>` t **)**
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Returns the result of SLERP between this vector and ``b``, by amount ``t``. ``t`` is in the range of ``0.0 - 1.0``, representing the amount of interpolation.
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Both vectors need to be normalized.
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.. _class_Vector3_slide:
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- :ref:`Vector3<class_Vector3>` **slide** **(** :ref:`Vector3<class_Vector3>` n **)**
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Returns the component of the vector along a plane defined by the given normal.
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.. _class_Vector3_snapped:
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- :ref:`Vector3<class_Vector3>` **snapped** **(** :ref:`Vector3<class_Vector3>` by **)**
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Returns a copy of the vector, snapped to the lowest neared multiple.
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.. _class_Vector3_to_diagonal_matrix:
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- :ref:`Basis<class_Basis>` **to_diagonal_matrix** **(** **)**
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Returns a diagonal matrix with the vector as main diagonal.
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