class_vector3i.rst 22 KB

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  1. :github_url: hide
  2. .. Generated automatically by doc/tools/make_rst.py in Godot's source tree.
  3. .. DO NOT EDIT THIS FILE, but the Vector3i.xml source instead.
  4. .. The source is found in doc/classes or modules/<name>/doc_classes.
  5. .. _class_Vector3i:
  6. Vector3i
  7. ========
  8. Vector used for 3D math using integer coordinates.
  9. Description
  10. -----------
  11. 3-element structure that can be used to represent positions in 3D space or any other pair of numeric values.
  12. It uses integer coordinates and is therefore preferable to :ref:`Vector3<class_Vector3>` when exact precision is required.
  13. **Note:** In a boolean context, a Vector3i will evaluate to ``false`` if it's equal to ``Vector3i(0, 0, 0)``. Otherwise, a Vector3i will always evaluate to ``true``.
  14. Tutorials
  15. ---------
  16. - :doc:`Math documentation index <../tutorials/math/index>`
  17. - :doc:`Vector math <../tutorials/math/vector_math>`
  18. - `3Blue1Brown Essence of Linear Algebra <https://www.youtube.com/playlist?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab>`__
  19. Properties
  20. ----------
  21. +-----------------------+-------------------------------------+-------+
  22. | :ref:`int<class_int>` | :ref:`x<class_Vector3i_property_x>` | ``0`` |
  23. +-----------------------+-------------------------------------+-------+
  24. | :ref:`int<class_int>` | :ref:`y<class_Vector3i_property_y>` | ``0`` |
  25. +-----------------------+-------------------------------------+-------+
  26. | :ref:`int<class_int>` | :ref:`z<class_Vector3i_property_z>` | ``0`` |
  27. +-----------------------+-------------------------------------+-------+
  28. Constructors
  29. ------------
  30. +---------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------+
  31. | :ref:`Vector3i<class_Vector3i>` | :ref:`Vector3i<class_Vector3i_constructor_Vector3i>` **(** **)** |
  32. +---------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------+
  33. | :ref:`Vector3i<class_Vector3i>` | :ref:`Vector3i<class_Vector3i_constructor_Vector3i>` **(** :ref:`Vector3i<class_Vector3i>` from **)** |
  34. +---------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------+
  35. | :ref:`Vector3i<class_Vector3i>` | :ref:`Vector3i<class_Vector3i_constructor_Vector3i>` **(** :ref:`Vector3<class_Vector3>` from **)** |
  36. +---------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------+
  37. | :ref:`Vector3i<class_Vector3i>` | :ref:`Vector3i<class_Vector3i_constructor_Vector3i>` **(** :ref:`int<class_int>` x, :ref:`int<class_int>` y, :ref:`int<class_int>` z **)** |
  38. +---------------------------------+--------------------------------------------------------------------------------------------------------------------------------------------+
  39. Methods
  40. -------
  41. +---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
  42. | :ref:`Vector3i<class_Vector3i>` | :ref:`abs<class_Vector3i_method_abs>` **(** **)** |const| |
  43. +---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
  44. | :ref:`Vector3i<class_Vector3i>` | :ref:`clamp<class_Vector3i_method_clamp>` **(** :ref:`Vector3i<class_Vector3i>` min, :ref:`Vector3i<class_Vector3i>` max **)** |const| |
  45. +---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
  46. | :ref:`int<class_int>` | :ref:`max_axis<class_Vector3i_method_max_axis>` **(** **)** |const| |
  47. +---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
  48. | :ref:`int<class_int>` | :ref:`min_axis<class_Vector3i_method_min_axis>` **(** **)** |const| |
  49. +---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
  50. | :ref:`Vector3i<class_Vector3i>` | :ref:`sign<class_Vector3i_method_sign>` **(** **)** |const| |
  51. +---------------------------------+----------------------------------------------------------------------------------------------------------------------------------------+
  52. Operators
  53. ---------
  54. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  55. | :ref:`bool<class_bool>` | :ref:`operator !=<class_Vector3i_operator_neq_bool>` **(** **)** |
  56. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  57. | :ref:`bool<class_bool>` | :ref:`operator !=<class_Vector3i_operator_neq_bool>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  58. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  59. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator %<class_Vector3i_operator_mod_Vector3i>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  60. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  61. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator %<class_Vector3i_operator_mod_Vector3i>` **(** :ref:`int<class_int>` right **)** |
  62. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  63. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator *<class_Vector3i_operator_mul_Vector3i>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  64. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  65. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator *<class_Vector3i_operator_mul_Vector3i>` **(** :ref:`float<class_float>` right **)** |
  66. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  67. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator *<class_Vector3i_operator_mul_Vector3i>` **(** :ref:`int<class_int>` right **)** |
  68. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  69. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator +<class_Vector3i_operator_sum_Vector3i>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  70. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  71. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator -<class_Vector3i_operator_dif_Vector3i>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  72. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  73. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator /<class_Vector3i_operator_div_Vector3i>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  74. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  75. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator /<class_Vector3i_operator_div_Vector3i>` **(** :ref:`float<class_float>` right **)** |
  76. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  77. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator /<class_Vector3i_operator_div_Vector3i>` **(** :ref:`int<class_int>` right **)** |
  78. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  79. | :ref:`bool<class_bool>` | :ref:`operator <<class_Vector3i_operator_lt_bool>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  80. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  81. | :ref:`bool<class_bool>` | :ref:`operator <=<class_Vector3i_operator_lte_bool>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  82. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  83. | :ref:`bool<class_bool>` | :ref:`operator ==<class_Vector3i_operator_eq_bool>` **(** **)** |
  84. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  85. | :ref:`bool<class_bool>` | :ref:`operator ==<class_Vector3i_operator_eq_bool>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  86. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  87. | :ref:`bool<class_bool>` | :ref:`operator ><class_Vector3i_operator_gt_bool>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  88. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  89. | :ref:`bool<class_bool>` | :ref:`operator >=<class_Vector3i_operator_gte_bool>` **(** :ref:`Vector3i<class_Vector3i>` right **)** |
  90. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  91. | :ref:`int<class_int>` | :ref:`operator []<class_Vector3i_operator_idx_int>` **(** :ref:`int<class_int>` index **)** |
  92. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  93. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator unary+<class_Vector3i_operator_unplus_Vector3i>` **(** **)** |
  94. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  95. | :ref:`Vector3i<class_Vector3i>` | :ref:`operator unary-<class_Vector3i_operator_unminus_Vector3i>` **(** **)** |
  96. +---------------------------------+-----------------------------------------------------------------------------------------------------------+
  97. Constants
  98. ---------
  99. .. _class_Vector3i_constant_AXIS_X:
  100. .. _class_Vector3i_constant_AXIS_Y:
  101. .. _class_Vector3i_constant_AXIS_Z:
  102. .. _class_Vector3i_constant_ZERO:
  103. .. _class_Vector3i_constant_ONE:
  104. .. _class_Vector3i_constant_LEFT:
  105. .. _class_Vector3i_constant_RIGHT:
  106. .. _class_Vector3i_constant_UP:
  107. .. _class_Vector3i_constant_DOWN:
  108. .. _class_Vector3i_constant_FORWARD:
  109. .. _class_Vector3i_constant_BACK:
  110. - **AXIS_X** = **0** --- Enumerated value for the X axis.
  111. - **AXIS_Y** = **1** --- Enumerated value for the Y axis.
  112. - **AXIS_Z** = **2** --- Enumerated value for the Z axis.
  113. - **ZERO** = **Vector3i(0, 0, 0)** --- Zero vector, a vector with all components set to ``0``.
  114. - **ONE** = **Vector3i(1, 1, 1)** --- One vector, a vector with all components set to ``1``.
  115. - **LEFT** = **Vector3i(-1, 0, 0)** --- Left unit vector. Represents the local direction of left, and the global direction of west.
  116. - **RIGHT** = **Vector3i(1, 0, 0)** --- Right unit vector. Represents the local direction of right, and the global direction of east.
  117. - **UP** = **Vector3i(0, 1, 0)** --- Up unit vector.
  118. - **DOWN** = **Vector3i(0, -1, 0)** --- Down unit vector.
  119. - **FORWARD** = **Vector3i(0, 0, -1)** --- Forward unit vector. Represents the local direction of forward, and the global direction of north.
  120. - **BACK** = **Vector3i(0, 0, 1)** --- Back unit vector. Represents the local direction of back, and the global direction of south.
  121. Property Descriptions
  122. ---------------------
  123. .. _class_Vector3i_property_x:
  124. - :ref:`int<class_int>` **x**
  125. +-----------+-------+
  126. | *Default* | ``0`` |
  127. +-----------+-------+
  128. The vector's X component. Also accessible by using the index position ``[0]``.
  129. ----
  130. .. _class_Vector3i_property_y:
  131. - :ref:`int<class_int>` **y**
  132. +-----------+-------+
  133. | *Default* | ``0`` |
  134. +-----------+-------+
  135. The vector's Y component. Also accessible by using the index position ``[1]``.
  136. ----
  137. .. _class_Vector3i_property_z:
  138. - :ref:`int<class_int>` **z**
  139. +-----------+-------+
  140. | *Default* | ``0`` |
  141. +-----------+-------+
  142. The vector's Z component. Also accessible by using the index position ``[2]``.
  143. Constructor Descriptions
  144. ------------------------
  145. .. _class_Vector3i_constructor_Vector3i:
  146. - :ref:`Vector3i<class_Vector3i>` **Vector3i** **(** **)**
  147. Constructs a default-initialized ``Vector3i`` with all components set to ``0``.
  148. ----
  149. - :ref:`Vector3i<class_Vector3i>` **Vector3i** **(** :ref:`Vector3i<class_Vector3i>` from **)**
  150. Constructs a ``Vector3i`` as a copy of the given ``Vector3i``.
  151. ----
  152. - :ref:`Vector3i<class_Vector3i>` **Vector3i** **(** :ref:`Vector3<class_Vector3>` from **)**
  153. Constructs a new ``Vector3i`` from :ref:`Vector3<class_Vector3>`. The floating point coordinates will be truncated.
  154. ----
  155. - :ref:`Vector3i<class_Vector3i>` **Vector3i** **(** :ref:`int<class_int>` x, :ref:`int<class_int>` y, :ref:`int<class_int>` z **)**
  156. Returns a ``Vector3i`` with the given components.
  157. Method Descriptions
  158. -------------------
  159. .. _class_Vector3i_method_abs:
  160. - :ref:`Vector3i<class_Vector3i>` **abs** **(** **)** |const|
  161. ----
  162. .. _class_Vector3i_method_clamp:
  163. - :ref:`Vector3i<class_Vector3i>` **clamp** **(** :ref:`Vector3i<class_Vector3i>` min, :ref:`Vector3i<class_Vector3i>` max **)** |const|
  164. 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.
  165. ----
  166. .. _class_Vector3i_method_max_axis:
  167. - :ref:`int<class_int>` **max_axis** **(** **)** |const|
  168. Returns the axis of the vector's largest value. See ``AXIS_*`` constants. If all components are equal, this method returns :ref:`AXIS_X<class_Vector3i_constant_AXIS_X>`.
  169. ----
  170. .. _class_Vector3i_method_min_axis:
  171. - :ref:`int<class_int>` **min_axis** **(** **)** |const|
  172. Returns the axis of the vector's smallest value. See ``AXIS_*`` constants. If all components are equal, this method returns :ref:`AXIS_Z<class_Vector3i_constant_AXIS_Z>`.
  173. ----
  174. .. _class_Vector3i_method_sign:
  175. - :ref:`Vector3i<class_Vector3i>` **sign** **(** **)** |const|
  176. Returns the vector with each component set to one or negative one, depending on the signs of the components.
  177. Operator Descriptions
  178. ---------------------
  179. .. _class_Vector3i_operator_neq_bool:
  180. - :ref:`bool<class_bool>` **operator !=** **(** **)**
  181. ----
  182. - :ref:`bool<class_bool>` **operator !=** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  183. Returns ``true`` if the vectors are not equal.
  184. ----
  185. .. _class_Vector3i_operator_mod_Vector3i:
  186. - :ref:`Vector3i<class_Vector3i>` **operator %** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  187. Gets the remainder of each component of the ``Vector3i`` with the components of the given ``Vector3i``. This operation uses truncated division, which is often not desired as it does not work well with negative numbers. Consider using :ref:`@GlobalScope.posmod<class_@GlobalScope_method_posmod>` instead if you want to handle negative numbers.
  188. ::
  189. print(Vector3i(10, -20, 30) % Vector3i(7, 8, 9)) # Prints "(3, -4, 3)"
  190. ----
  191. - :ref:`Vector3i<class_Vector3i>` **operator %** **(** :ref:`int<class_int>` right **)**
  192. Gets the remainder of each component of the ``Vector3i`` with the the given :ref:`int<class_int>`. This operation uses truncated division, which is often not desired as it does not work well with negative numbers. Consider using :ref:`@GlobalScope.posmod<class_@GlobalScope_method_posmod>` instead if you want to handle negative numbers.
  193. ::
  194. print(Vector2i(10, -20, 30) % 7) # Prints "(3, -6, 2)"
  195. ----
  196. .. _class_Vector3i_operator_mul_Vector3i:
  197. - :ref:`Vector3i<class_Vector3i>` **operator *** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  198. Multiplies each component of the ``Vector3i`` by the components of the given ``Vector3i``.
  199. ::
  200. print(Vector3i(10, 20, 30) * Vector3i(3, 4, 5)) # Prints "(30, 80, 150)"
  201. ----
  202. - :ref:`Vector3i<class_Vector3i>` **operator *** **(** :ref:`float<class_float>` right **)**
  203. Multiplies each component of the ``Vector3i`` by the given :ref:`float<class_float>` truncated to an integer.
  204. ::
  205. print(Vector3i(10, 20, 30) * 0.9) # Prints "(0, 0, 0)"
  206. ----
  207. - :ref:`Vector3i<class_Vector3i>` **operator *** **(** :ref:`int<class_int>` right **)**
  208. Multiplies each component of the ``Vector3i`` by the given :ref:`int<class_int>`.
  209. ----
  210. .. _class_Vector3i_operator_sum_Vector3i:
  211. - :ref:`Vector3i<class_Vector3i>` **operator +** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  212. Adds each component of the ``Vector3i`` by the components of the given ``Vector3i``.
  213. ::
  214. print(Vector3i(10, 20, 30) + Vector3i(3, 4, 5)) # Prints "(13, 24, 35)"
  215. ----
  216. .. _class_Vector3i_operator_dif_Vector3i:
  217. - :ref:`Vector3i<class_Vector3i>` **operator -** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  218. Subtracts each component of the ``Vector3i`` by the components of the given ``Vector3i``.
  219. ::
  220. print(Vector3i(10, 20, 30) - Vector3i(3, 4, 5)) # Prints "(7, 16, 25)"
  221. ----
  222. .. _class_Vector3i_operator_div_Vector3i:
  223. - :ref:`Vector3i<class_Vector3i>` **operator /** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  224. Divides each component of the ``Vector3i`` by the components of the given ``Vector3i``.
  225. ::
  226. print(Vector3i(10, 20, 30) / Vector3i(2, 5, 3)) # Prints "(5, 4, 10)"
  227. ----
  228. - :ref:`Vector3i<class_Vector3i>` **operator /** **(** :ref:`float<class_float>` right **)**
  229. Divides each component of the ``Vector3i`` by the given :ref:`float<class_float>` truncated to an integer.
  230. ::
  231. print(Vector3i(10, 20, 30) / 2.9) # Prints "(5, 10, 15)"
  232. ----
  233. - :ref:`Vector3i<class_Vector3i>` **operator /** **(** :ref:`int<class_int>` right **)**
  234. Divides each component of the ``Vector3i`` by the given :ref:`int<class_int>`.
  235. ----
  236. .. _class_Vector3i_operator_lt_bool:
  237. - :ref:`bool<class_bool>` **operator <** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  238. Compares two ``Vector3i`` 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, and then with the Z values. This operator is useful for sorting vectors.
  239. ----
  240. .. _class_Vector3i_operator_lte_bool:
  241. - :ref:`bool<class_bool>` **operator <=** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  242. Compares two ``Vector3i`` 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, and then with the Z values. This operator is useful for sorting vectors.
  243. ----
  244. .. _class_Vector3i_operator_eq_bool:
  245. - :ref:`bool<class_bool>` **operator ==** **(** **)**
  246. ----
  247. - :ref:`bool<class_bool>` **operator ==** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  248. Returns ``true`` if the vectors are equal.
  249. ----
  250. .. _class_Vector3i_operator_gt_bool:
  251. - :ref:`bool<class_bool>` **operator >** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  252. Compares two ``Vector3i`` 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, and then with the Z values. This operator is useful for sorting vectors.
  253. ----
  254. .. _class_Vector3i_operator_gte_bool:
  255. - :ref:`bool<class_bool>` **operator >=** **(** :ref:`Vector3i<class_Vector3i>` right **)**
  256. Compares two ``Vector3i`` 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, and then with the Z values. This operator is useful for sorting vectors.
  257. ----
  258. .. _class_Vector3i_operator_idx_int:
  259. - :ref:`int<class_int>` **operator []** **(** :ref:`int<class_int>` index **)**
  260. Access vector components using their index. ``v[0]`` is equivalent to ``v.x``, ``v[1]`` is equivalent to ``v.y``, and ``v[2]`` is equivalent to ``v.z``.
  261. ----
  262. .. _class_Vector3i_operator_unplus_Vector3i:
  263. - :ref:`Vector3i<class_Vector3i>` **operator unary+** **(** **)**
  264. Returns the same value as if the ``+`` was not there. Unary ``+`` does nothing, but sometimes it can make your code more readable.
  265. ----
  266. .. _class_Vector3i_operator_unminus_Vector3i:
  267. - :ref:`Vector3i<class_Vector3i>` **operator unary-** **(** **)**
  268. Returns the negative value of the ``Vector3i``. This is the same as writing ``Vector3i(-v.x, -v.y, -v.z)``. This operation flips the direction of the vector while keeping the same magnitude.
  269. .. |virtual| replace:: :abbr:`virtual (This method should typically be overridden by the user to have any effect.)`
  270. .. |const| replace:: :abbr:`const (This method has no side effects. It doesn't modify any of the instance's member variables.)`
  271. .. |vararg| replace:: :abbr:`vararg (This method accepts any number of arguments after the ones described here.)`
  272. .. |constructor| replace:: :abbr:`constructor (This method is used to construct a type.)`
  273. .. |static| replace:: :abbr:`static (This method doesn't need an instance to be called, so it can be called directly using the class name.)`
  274. .. |operator| replace:: :abbr:`operator (This method describes a valid operator to use with this type as left-hand operand.)`