363 lines
15 KiB
ReStructuredText
363 lines
15 KiB
ReStructuredText
:github_url: hide
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.. DO NOT EDIT THIS FILE!!!
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.. Generated automatically from Godot engine sources.
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.. Generator: https://github.com/godotengine/godot/tree/3.6/doc/tools/make_rst.py.
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.. XML source: https://github.com/godotengine/godot/tree/3.6/doc/classes/Plane.xml.
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.. _class_Plane:
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Plane
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=====
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Plane in hessian form.
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.. rst-class:: classref-introduction-group
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Description
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-----------
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Plane represents a normalized plane equation. Basically, "normal" is the normal of the plane (a,b,c normalized), and "d" is the distance from the origin to the plane (in the direction of "normal"). "Over" or "Above" the plane is considered the side of the plane towards where the normal is pointing.
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.. rst-class:: classref-introduction-group
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Tutorials
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---------
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- :doc:`../tutorials/math/index`
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.. rst-class:: classref-reftable-group
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Properties
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----------
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.. table::
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:widths: auto
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+-------------------------------+--------------------------------------------+------------------------+
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| :ref:`float<class_float>` | :ref:`d<class_Plane_property_d>` | ``0.0`` |
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+-------------------------------+--------------------------------------------+------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`normal<class_Plane_property_normal>` | ``Vector3( 0, 0, 0 )`` |
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+-------------------------------+--------------------------------------------+------------------------+
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| :ref:`float<class_float>` | :ref:`x<class_Plane_property_x>` | ``0.0`` |
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+-------------------------------+--------------------------------------------+------------------------+
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| :ref:`float<class_float>` | :ref:`y<class_Plane_property_y>` | ``0.0`` |
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+-------------------------------+--------------------------------------------+------------------------+
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| :ref:`float<class_float>` | :ref:`z<class_Plane_property_z>` | ``0.0`` |
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+-------------------------------+--------------------------------------------+------------------------+
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.. rst-class:: classref-reftable-group
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Methods
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-------
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.. table::
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:widths: auto
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Plane<class_Plane>` | :ref:`Plane<class_Plane_method_Plane>` **(** :ref:`float<class_float>` a, :ref:`float<class_float>` b, :ref:`float<class_float>` c, :ref:`float<class_float>` d **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Plane<class_Plane>` | :ref:`Plane<class_Plane_method_Plane>` **(** :ref:`Vector3<class_Vector3>` v1, :ref:`Vector3<class_Vector3>` v2, :ref:`Vector3<class_Vector3>` v3 **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Plane<class_Plane>` | :ref:`Plane<class_Plane_method_Plane>` **(** :ref:`Vector3<class_Vector3>` normal, :ref:`float<class_float>` d **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`center<class_Plane_method_center>` **(** **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`float<class_float>` | :ref:`distance_to<class_Plane_method_distance_to>` **(** :ref:`Vector3<class_Vector3>` point **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`get_any_point<class_Plane_method_get_any_point>` **(** **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`bool<class_bool>` | :ref:`has_point<class_Plane_method_has_point>` **(** :ref:`Vector3<class_Vector3>` point, :ref:`float<class_float>` epsilon=1e-05 **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`intersect_3<class_Plane_method_intersect_3>` **(** :ref:`Plane<class_Plane>` b, :ref:`Plane<class_Plane>` c **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`intersects_ray<class_Plane_method_intersects_ray>` **(** :ref:`Vector3<class_Vector3>` from, :ref:`Vector3<class_Vector3>` dir **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`intersects_segment<class_Plane_method_intersects_segment>` **(** :ref:`Vector3<class_Vector3>` begin, :ref:`Vector3<class_Vector3>` end **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`bool<class_bool>` | :ref:`is_equal_approx<class_Plane_method_is_equal_approx>` **(** :ref:`Plane<class_Plane>` plane **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`bool<class_bool>` | :ref:`is_point_over<class_Plane_method_is_point_over>` **(** :ref:`Vector3<class_Vector3>` point **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Plane<class_Plane>` | :ref:`normalized<class_Plane_method_normalized>` **(** **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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| :ref:`Vector3<class_Vector3>` | :ref:`project<class_Plane_method_project>` **(** :ref:`Vector3<class_Vector3>` point **)** |
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+-------------------------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+
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.. rst-class:: classref-section-separator
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----
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.. rst-class:: classref-descriptions-group
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Constants
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---------
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.. _class_Plane_constant_PLANE_YZ:
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.. rst-class:: classref-constant
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**PLANE_YZ** = ``Plane( 1, 0, 0, 0 )``
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A plane that extends in the Y and Z axes (normal vector points +X).
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.. _class_Plane_constant_PLANE_XZ:
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.. rst-class:: classref-constant
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**PLANE_XZ** = ``Plane( 0, 1, 0, 0 )``
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A plane that extends in the X and Z axes (normal vector points +Y).
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.. _class_Plane_constant_PLANE_XY:
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.. rst-class:: classref-constant
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**PLANE_XY** = ``Plane( 0, 0, 1, 0 )``
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A plane that extends in the X and Y axes (normal vector points +Z).
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.. rst-class:: classref-section-separator
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----
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.. rst-class:: classref-descriptions-group
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Property Descriptions
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---------------------
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.. _class_Plane_property_d:
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.. rst-class:: classref-property
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:ref:`float<class_float>` **d** = ``0.0``
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The distance from the origin to the plane, in the direction of :ref:`normal<class_Plane_property_normal>`. This value is typically non-negative.
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In the scalar equation of the plane ``ax + by + cz = d``, this is ``d``, while the ``(a, b, c)`` coordinates are represented by the :ref:`normal<class_Plane_property_normal>` property.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_property_normal:
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.. rst-class:: classref-property
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:ref:`Vector3<class_Vector3>` **normal** = ``Vector3( 0, 0, 0 )``
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The normal of the plane, which must be normalized.
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In the scalar equation of the plane ``ax + by + cz = d``, this is the vector ``(a, b, c)``, where ``d`` is the :ref:`d<class_Plane_property_d>` property.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_property_x:
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.. rst-class:: classref-property
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:ref:`float<class_float>` **x** = ``0.0``
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The X component of the plane's :ref:`normal<class_Plane_property_normal>` vector.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_property_y:
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.. rst-class:: classref-property
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:ref:`float<class_float>` **y** = ``0.0``
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The Y component of the plane's :ref:`normal<class_Plane_property_normal>` vector.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_property_z:
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.. rst-class:: classref-property
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:ref:`float<class_float>` **z** = ``0.0``
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The Z component of the plane's :ref:`normal<class_Plane_property_normal>` vector.
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.. rst-class:: classref-section-separator
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----
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.. rst-class:: classref-descriptions-group
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Method Descriptions
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-------------------
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.. _class_Plane_method_Plane:
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.. rst-class:: classref-method
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:ref:`Plane<class_Plane>` **Plane** **(** :ref:`float<class_float>` a, :ref:`float<class_float>` b, :ref:`float<class_float>` c, :ref:`float<class_float>` d **)**
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Creates a plane from the four parameters. The three components of the resulting plane's :ref:`normal<class_Plane_property_normal>` are ``a``, ``b`` and ``c``, and the plane has a distance of ``d`` from the origin.
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.. rst-class:: classref-item-separator
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----
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.. rst-class:: classref-method
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:ref:`Plane<class_Plane>` **Plane** **(** :ref:`Vector3<class_Vector3>` v1, :ref:`Vector3<class_Vector3>` v2, :ref:`Vector3<class_Vector3>` v3 **)**
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Creates a plane from the three points, given in clockwise order.
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.. rst-class:: classref-item-separator
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----
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.. rst-class:: classref-method
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:ref:`Plane<class_Plane>` **Plane** **(** :ref:`Vector3<class_Vector3>` normal, :ref:`float<class_float>` d **)**
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Creates a plane from the normal and the plane's distance to the origin.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_center:
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.. rst-class:: classref-method
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:ref:`Vector3<class_Vector3>` **center** **(** **)**
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Returns the center of the plane.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_distance_to:
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.. rst-class:: classref-method
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:ref:`float<class_float>` **distance_to** **(** :ref:`Vector3<class_Vector3>` point **)**
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Returns the shortest distance from the plane to the position ``point``.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_get_any_point:
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.. rst-class:: classref-method
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:ref:`Vector3<class_Vector3>` **get_any_point** **(** **)**
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Returns the center of the plane.
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This method is deprecated, please use :ref:`center<class_Plane_method_center>` instead.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_has_point:
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.. rst-class:: classref-method
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:ref:`bool<class_bool>` **has_point** **(** :ref:`Vector3<class_Vector3>` point, :ref:`float<class_float>` epsilon=1e-05 **)**
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Returns ``true`` if ``point`` is inside the plane. Comparison uses a custom minimum ``epsilon`` threshold.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_intersect_3:
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.. rst-class:: classref-method
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:ref:`Vector3<class_Vector3>` **intersect_3** **(** :ref:`Plane<class_Plane>` b, :ref:`Plane<class_Plane>` c **)**
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Returns the intersection point of the three planes ``b``, ``c`` and this plane. If no intersection is found, ``null`` is returned.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_intersects_ray:
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.. rst-class:: classref-method
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:ref:`Vector3<class_Vector3>` **intersects_ray** **(** :ref:`Vector3<class_Vector3>` from, :ref:`Vector3<class_Vector3>` dir **)**
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Returns the intersection point of a ray consisting of the position ``from`` and the direction normal ``dir`` with this plane. If no intersection is found, ``null`` is returned.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_intersects_segment:
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.. rst-class:: classref-method
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:ref:`Vector3<class_Vector3>` **intersects_segment** **(** :ref:`Vector3<class_Vector3>` begin, :ref:`Vector3<class_Vector3>` end **)**
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Returns the intersection point of a segment from position ``begin`` to position ``end`` with this plane. If no intersection is found, ``null`` is returned.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_is_equal_approx:
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.. rst-class:: classref-method
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:ref:`bool<class_bool>` **is_equal_approx** **(** :ref:`Plane<class_Plane>` plane **)**
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Returns ``true`` if this plane and ``plane`` are approximately equal, by running :ref:`@GDScript.is_equal_approx<class_@GDScript_method_is_equal_approx>` on each component.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_is_point_over:
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.. rst-class:: classref-method
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:ref:`bool<class_bool>` **is_point_over** **(** :ref:`Vector3<class_Vector3>` point **)**
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Returns ``true`` if ``point`` is located above the plane.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_normalized:
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.. rst-class:: classref-method
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:ref:`Plane<class_Plane>` **normalized** **(** **)**
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Returns a copy of the plane, normalized.
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.. rst-class:: classref-item-separator
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----
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.. _class_Plane_method_project:
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.. rst-class:: classref-method
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:ref:`Vector3<class_Vector3>` **project** **(** :ref:`Vector3<class_Vector3>` point **)**
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Returns the orthogonal projection of ``point`` into a point in the plane.
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.. |virtual| replace:: :abbr:`virtual (This method should typically be overridden by the user to have any effect.)`
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.. |const| replace:: :abbr:`const (This method has no side effects. It doesn't modify any of the instance's member variables.)`
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.. |vararg| replace:: :abbr:`vararg (This method accepts any number of arguments after the ones described here.)`
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.. |static| replace:: :abbr:`static (This method doesn't need an instance to be called, so it can be called directly using the class name.)`
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