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.. _class_Vector4i:
Vector4i
========
Vector used for 4D math using integer coordinates.
Description
-----------
4-element structure that can be used to represent 4D grid coordinates or sets of integers.
It uses integer coordinates. See :ref:`Vector4<class_Vector4>` for its floating-point counterpart.
Properties
----------
+-----------------------+-------------------------------------+-------+
| :ref:`int<class_int>` | :ref:`w<class_Vector4i_property_w>` | ``0`` |
+-----------------------+-------------------------------------+-------+
| :ref:`int<class_int>` | :ref:`x<class_Vector4i_property_x>` | ``0`` |
+-----------------------+-------------------------------------+-------+
| :ref:`int<class_int>` | :ref:`y<class_Vector4i_property_y>` | ``0`` |
+-----------------------+-------------------------------------+-------+
| :ref:`int<class_int>` | :ref:`z<class_Vector4i_property_z>` | ``0`` |
+-----------------------+-------------------------------------+-------+
Constructors
------------
+---------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`Vector4i<class_Vector4i_constructor_Vector4i>` **(** **)** |
+---------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`Vector4i<class_Vector4i_constructor_Vector4i>` **(** :ref:`Vector4i<class_Vector4i>` from **)** |
+---------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`Vector4i<class_Vector4i_constructor_Vector4i>` **(** :ref:`Vector4<class_Vector4>` from **)** |
+---------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`Vector4i<class_Vector4i_constructor_Vector4i>` **(** :ref:`int<class_int>` x, :ref:`int<class_int>` y, :ref:`int<class_int>` z, :ref:`int<class_int>` w **)** |
+---------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+
Methods
-------
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`abs<class_Vector4i_method_abs>` **(** **)** |const| |
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`clamp<class_Vector4i_method_clamp>` **(** :ref:`Vector4i<class_Vector4i>` min, :ref:`Vector4i<class_Vector4i>` max **)** |const| |
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>` | :ref:`length<class_Vector4i_method_length>` **(** **)** |const| |
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>` | :ref:`length_squared<class_Vector4i_method_length_squared>` **(** **)** |const| |
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>` | :ref:`max_axis_index<class_Vector4i_method_max_axis_index>` **(** **)** |const| |
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>` | :ref:`min_axis_index<class_Vector4i_method_min_axis_index>` **(** **)** |const| |
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`sign<class_Vector4i_method_sign>` **(** **)** |const| |
+---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
Operators
---------
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator !=<class_Vector4i_operator_neq_bool>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator %<class_Vector4i_operator_mod_Vector4i>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator %<class_Vector4i_operator_mod_Vector4i>` **(** :ref:`int<class_int>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator *<class_Vector4i_operator_mul_Vector4i>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4<class_Vector4>` | :ref:`operator *<class_Vector4i_operator_mul_Vector4>` **(** :ref:`float<class_float>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator *<class_Vector4i_operator_mul_Vector4i>` **(** :ref:`int<class_int>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator +<class_Vector4i_operator_sum_Vector4i>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator -<class_Vector4i_operator_dif_Vector4i>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator /<class_Vector4i_operator_div_Vector4i>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4<class_Vector4>` | :ref:`operator /<class_Vector4i_operator_div_Vector4>` **(** :ref:`float<class_float>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator /<class_Vector4i_operator_div_Vector4i>` **(** :ref:`int<class_int>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator \<<class_Vector4i_operator_lt_bool>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator \<=<class_Vector4i_operator_lte_bool>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator ==<class_Vector4i_operator_eq_bool>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator ><class_Vector4i_operator_gt_bool>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>` | :ref:`operator >=<class_Vector4i_operator_gte_bool>` **(** :ref:`Vector4i<class_Vector4i>` right **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`int<class_int>` | :ref:`operator []<class_Vector4i_operator_idx_int>` **(** :ref:`int<class_int>` index **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator unary+<class_Vector4i_operator_unplus_Vector4i>` **(** **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
| :ref:`Vector4i<class_Vector4i>` | :ref:`operator unary-<class_Vector4i_operator_unminus_Vector4i>` **(** **)** |
+---------------------------------+-----------------------------------------------------------------------------------------------------------+
Constants
---------
.. _class_Vector4i_constant_AXIS_X:
.. _class_Vector4i_constant_AXIS_Y:
.. _class_Vector4i_constant_AXIS_Z:
.. _class_Vector4i_constant_AXIS_W:
.. _class_Vector4i_constant_ZERO:
.. _class_Vector4i_constant_ONE:
- **AXIS_X** = **0** --- Enumerated value for the X axis. Returned by :ref:`max_axis_index<class_Vector4i_method_max_axis_index>` and :ref:`min_axis_index<class_Vector4i_method_min_axis_index>`.
- **AXIS_Y** = **1** --- Enumerated value for the Y axis. Returned by :ref:`max_axis_index<class_Vector4i_method_max_axis_index>` and :ref:`min_axis_index<class_Vector4i_method_min_axis_index>`.
- **AXIS_Z** = **2** --- Enumerated value for the Z axis. Returned by :ref:`max_axis_index<class_Vector4i_method_max_axis_index>` and :ref:`min_axis_index<class_Vector4i_method_min_axis_index>`.
- **AXIS_W** = **3** --- Enumerated value for the W axis. Returned by :ref:`max_axis_index<class_Vector4i_method_max_axis_index>` and :ref:`min_axis_index<class_Vector4i_method_min_axis_index>`.
- **ZERO** = **Vector4i(0, 0, 0, 0)** --- Zero vector, a vector with all components set to ``0``.
- **ONE** = **Vector4i(1, 1, 1, 1)** --- One vector, a vector with all components set to ``1``.
Property Descriptions
---------------------
.. _class_Vector4i_property_w:
- :ref:`int<class_int>` **w**
+-----------+-------+
| *Default* | ``0`` |
+-----------+-------+
The vector's W component. Also accessible by using the index position ``[3]``.
----
.. _class_Vector4i_property_x:
- :ref:`int<class_int>` **x**
+-----------+-------+
| *Default* | ``0`` |
+-----------+-------+
The vector's X component. Also accessible by using the index position ``[0]``.
----
.. _class_Vector4i_property_y:
- :ref:`int<class_int>` **y**
+-----------+-------+
| *Default* | ``0`` |
+-----------+-------+
The vector's Y component. Also accessible by using the index position ``[1]``.
----
.. _class_Vector4i_property_z:
- :ref:`int<class_int>` **z**
+-----------+-------+
| *Default* | ``0`` |
+-----------+-------+
The vector's Z component. Also accessible by using the index position ``[2]``.
Constructor Descriptions
------------------------
.. _class_Vector4i_constructor_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **Vector4i** **(** **)**
Constructs a default-initialized ``Vector4i`` with all components set to ``0``.
----
- :ref:`Vector4i<class_Vector4i>` **Vector4i** **(** :ref:`Vector4i<class_Vector4i>` from **)**
Constructs a ``Vector4i`` as a copy of the given ``Vector4i``.
----
- :ref:`Vector4i<class_Vector4i>` **Vector4i** **(** :ref:`Vector4<class_Vector4>` from **)**
Constructs a new ``Vector4i`` from the given :ref:`Vector4<class_Vector4>`.
----
- :ref:`Vector4i<class_Vector4i>` **Vector4i** **(** :ref:`int<class_int>` x, :ref:`int<class_int>` y, :ref:`int<class_int>` z, :ref:`int<class_int>` w **)**
Returns a ``Vector4i`` with the given components.
Method Descriptions
-------------------
.. _class_Vector4i_method_abs:
- :ref:`Vector4i<class_Vector4i>` **abs** **(** **)** |const|
Returns a new vector with all components in absolute values (i.e. positive).
----
.. _class_Vector4i_method_clamp:
- :ref:`Vector4i<class_Vector4i>` **clamp** **(** :ref:`Vector4i<class_Vector4i>` min, :ref:`Vector4i<class_Vector4i>` 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_Vector4i_method_length:
- :ref:`float<class_float>` **length** **(** **)** |const|
Returns the length (magnitude) of this vector.
----
.. _class_Vector4i_method_length_squared:
- :ref:`int<class_int>` **length_squared** **(** **)** |const|
Returns the squared length (squared magnitude) of this vector. This method runs faster than :ref:`length<class_Vector4i_method_length>`.
----
.. _class_Vector4i_method_max_axis_index:
- :ref:`int<class_int>` **max_axis_index** **(** **)** |const|
Returns the axis of the vector's highest value. See ``AXIS_*`` constants. If all components are equal, this method returns :ref:`AXIS_X<class_Vector4i_constant_AXIS_X>`.
----
.. _class_Vector4i_method_min_axis_index:
- :ref:`int<class_int>` **min_axis_index** **(** **)** |const|
Returns the axis of the vector's lowest value. See ``AXIS_*`` constants. If all components are equal, this method returns :ref:`AXIS_W<class_Vector4i_constant_AXIS_W>`.
----
.. _class_Vector4i_method_sign:
- :ref:`Vector4i<class_Vector4i>` **sign** **(** **)** |const|
Returns a new 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.
Operator Descriptions
---------------------
.. _class_Vector4i_operator_neq_bool:
- :ref:`bool<class_bool>` **operator !=** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Returns ``true`` if the vectors are not equal.
----
.. _class_Vector4i_operator_mod_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **operator %** **(** :ref:`Vector4i<class_Vector4i>` right **)**
----
- :ref:`Vector4i<class_Vector4i>` **operator %** **(** :ref:`int<class_int>` right **)**
----
.. _class_Vector4i_operator_mul_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **operator *** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Multiplies each component of the ``Vector4i`` by the components of the given ``Vector4i``.
::
print(Vector4i(10, 20, 30, 40) * Vector4i(3, 4, 5, 6)) # Prints "(30, 80, 150, 240)"
----
- :ref:`Vector4<class_Vector4>` **operator *** **(** :ref:`float<class_float>` right **)**
Multiplies each component of the ``Vector4i`` by the given :ref:`float<class_float>`.
Returns a Vector4 value due to floating-point operations.
::
print(Vector4i(10, 20, 30, 40) * 2) # Prints "(20, 40, 60, 80)"
----
- :ref:`Vector4i<class_Vector4i>` **operator *** **(** :ref:`int<class_int>` right **)**
Multiplies each component of the ``Vector4i`` by the given :ref:`int<class_int>`.
----
.. _class_Vector4i_operator_sum_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **operator +** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Adds each component of the ``Vector4i`` by the components of the given ``Vector4i``.
::
print(Vector4i(10, 20, 30, 40) + Vector4i(3, 4, 5, 6)) # Prints "(13, 24, 35, 46)"
----
.. _class_Vector4i_operator_dif_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **operator -** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Subtracts each component of the ``Vector4i`` by the components of the given ``Vector4i``.
::
print(Vector4i(10, 20, 30, 40) - Vector4i(3, 4, 5, 6)) # Prints "(7, 16, 25, 34)"
----
.. _class_Vector4i_operator_div_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **operator /** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Divides each component of the ``Vector4i`` by the components of the given ``Vector4i``.
::
print(Vector4i(10, 20, 30, 40) / Vector4i(2, 5, 3, 4)) # Prints "(5, 4, 10, 10)"
----
- :ref:`Vector4<class_Vector4>` **operator /** **(** :ref:`float<class_float>` right **)**
Divides each component of the ``Vector4i`` by the given :ref:`float<class_float>`.
Returns a Vector4 value due to floating-point operations.
::
print(Vector4i(10, 20, 30, 40) / 2 # Prints "(5, 10, 15, 20)"
----
- :ref:`Vector4i<class_Vector4i>` **operator /** **(** :ref:`int<class_int>` right **)**
Divides each component of the ``Vector4i`` by the given :ref:`int<class_int>`.
----
.. _class_Vector4i_operator_lt_bool:
- :ref:`bool<class_bool>` **operator <** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Compares two ``Vector4i`` 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, Z values of the two vectors, and then with the W values. This operator is useful for sorting vectors.
----
.. _class_Vector4i_operator_lte_bool:
- :ref:`bool<class_bool>` **operator <=** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Compares two ``Vector4i`` 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, Z values of the two vectors, and then with the W values. This operator is useful for sorting vectors.
----
.. _class_Vector4i_operator_eq_bool:
- :ref:`bool<class_bool>` **operator ==** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Returns ``true`` if the vectors are exactly equal.
----
.. _class_Vector4i_operator_gt_bool:
- :ref:`bool<class_bool>` **operator >** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Compares two ``Vector4i`` 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, Z values of the two vectors, and then with the W values. This operator is useful for sorting vectors.
----
.. _class_Vector4i_operator_gte_bool:
- :ref:`bool<class_bool>` **operator >=** **(** :ref:`Vector4i<class_Vector4i>` right **)**
Compares two ``Vector4i`` 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, Z values of the two vectors, and then with the W values. This operator is useful for sorting vectors.
----
.. _class_Vector4i_operator_idx_int:
- :ref:`int<class_int>` **operator []** **(** :ref:`int<class_int>` index **)**
Access vector components using their ``index``. ``v[0]`` is equivalent to ``v.x``, ``v[1]`` is equivalent to ``v.y``, ``v[2]`` is equivalent to ``v.z``, and ``v[3]`` is equivalent to ``v.w``.
----
.. _class_Vector4i_operator_unplus_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **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_Vector4i_operator_unminus_Vector4i:
- :ref:`Vector4i<class_Vector4i>` **operator unary-** **(** **)**
Returns the negative value of the ``Vector4i``. This is the same as writing ``Vector4i(-v.x, -v.y, -v.z, -v.w)``. This operation flips the direction of the vector while keeping the same magnitude.
.. |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.)`