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.. Generated automatically by doc/tools/makerst.py in Godot's source tree.
.. DO NOT EDIT THIS FILE, but the Transform2D.xml source instead.
.. The source is found in doc/classes or modules/<name>/doc_classes.

.. _class_Transform2D:

Transform2D
===========

**Category:** Built-In Types

Brief Description
-----------------

2D transformation (3×2 matrix).

Properties
----------

+-------------------------------+--------------------------------------------------+-----------------+
| :ref:`Vector2<class_Vector2>` | :ref:`origin<class_Transform2D_property_origin>` | Vector2( 0, 0 ) |
+-------------------------------+--------------------------------------------------+-----------------+
| :ref:`Vector2<class_Vector2>` | :ref:`x<class_Transform2D_property_x>`           | Vector2( 1, 0 ) |
+-------------------------------+--------------------------------------------------+-----------------+
| :ref:`Vector2<class_Vector2>` | :ref:`y<class_Transform2D_property_y>`           | Vector2( 0, 1 ) |
+-------------------------------+--------------------------------------------------+-----------------+

Methods
-------

+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`Transform2D<class_Transform2D_method_Transform2D>` **(** :ref:`Transform<class_Transform>` from **)**                                                                           |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`Transform2D<class_Transform2D_method_Transform2D>` **(** :ref:`Vector2<class_Vector2>` x_axis, :ref:`Vector2<class_Vector2>` y_axis, :ref:`Vector2<class_Vector2>` origin **)** |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`Transform2D<class_Transform2D_method_Transform2D>` **(** :ref:`float<class_float>` rotation, :ref:`Vector2<class_Vector2>` position **)**                                       |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`affine_inverse<class_Transform2D_method_affine_inverse>` **(** **)**                                                                                                            |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`basis_xform<class_Transform2D_method_basis_xform>` **(** :ref:`Vector2<class_Vector2>` v **)**                                                                                  |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`basis_xform_inv<class_Transform2D_method_basis_xform_inv>` **(** :ref:`Vector2<class_Vector2>` v **)**                                                                          |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`get_origin<class_Transform2D_method_get_origin>` **(** **)**                                                                                                                    |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`float<class_float>`             | :ref:`get_rotation<class_Transform2D_method_get_rotation>` **(** **)**                                                                                                                |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Vector2<class_Vector2>`         | :ref:`get_scale<class_Transform2D_method_get_scale>` **(** **)**                                                                                                                      |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`interpolate_with<class_Transform2D_method_interpolate_with>` **(** :ref:`Transform2D<class_Transform2D>` transform, :ref:`float<class_float>` weight **)**                      |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`inverse<class_Transform2D_method_inverse>` **(** **)**                                                                                                                          |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`bool<class_bool>`               | :ref:`is_equal_approx<class_Transform2D_method_is_equal_approx>` **(** :ref:`Transform2D<class_Transform2D>` transform **)**                                                          |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`orthonormalized<class_Transform2D_method_orthonormalized>` **(** **)**                                                                                                          |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`rotated<class_Transform2D_method_rotated>` **(** :ref:`float<class_float>` phi **)**                                                                                            |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`scaled<class_Transform2D_method_scaled>` **(** :ref:`Vector2<class_Vector2>` scale **)**                                                                                        |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform2D<class_Transform2D>` | :ref:`translated<class_Transform2D_method_translated>` **(** :ref:`Vector2<class_Vector2>` offset **)**                                                                               |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Variant<class_Variant>`         | :ref:`xform<class_Transform2D_method_xform>` **(** :ref:`Variant<class_Variant>` v **)**                                                                                              |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Variant<class_Variant>`         | :ref:`xform_inv<class_Transform2D_method_xform_inv>` **(** :ref:`Variant<class_Variant>` v **)**                                                                                      |
+---------------------------------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+

Constants
---------

.. _class_Transform2D_constant_IDENTITY:

.. _class_Transform2D_constant_FLIP_X:

.. _class_Transform2D_constant_FLIP_Y:

- **IDENTITY** = **Transform2D( 1, 0, 0, 1, 0, 0 )** --- ``Transform2D`` with no translation, rotation or scaling applied. When applied to other data structures, :ref:`IDENTITY<class_Transform2D_constant_IDENTITY>` performs no transformation.

- **FLIP_X** = **Transform2D( -1, 0, 0, 1, 0, 0 )** --- ``Transform2D`` with mirroring applied parallel to the X axis.

- **FLIP_Y** = **Transform2D( 1, 0, 0, -1, 0, 0 )** --- ``Transform2D`` with mirroring applied parallel to the Y axis.

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

Represents one or many transformations in 2D space such as translation, rotation, or scaling. It consists of two :ref:`x<class_Transform2D_property_x>` and :ref:`y<class_Transform2D_property_y>` :ref:`Vector2<class_Vector2>`\ s and an :ref:`origin<class_Transform2D_property_origin>`. It is similar to a 3×2 matrix.

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

.. _class_Transform2D_property_origin:

- :ref:`Vector2<class_Vector2>` **origin**

+-----------+-----------------+
| *Default* | Vector2( 0, 0 ) |
+-----------+-----------------+

The transform's translation offset.

----

.. _class_Transform2D_property_x:

- :ref:`Vector2<class_Vector2>` **x**

+-----------+-----------------+
| *Default* | Vector2( 1, 0 ) |
+-----------+-----------------+

The X axis of 2×2 basis matrix containing 2 :ref:`Vector2<class_Vector2>`\ s as its columns: X axis and Y axis. These vectors can be interpreted as the basis vectors of local coordinate system traveling with the object.

----

.. _class_Transform2D_property_y:

- :ref:`Vector2<class_Vector2>` **y**

+-----------+-----------------+
| *Default* | Vector2( 0, 1 ) |
+-----------+-----------------+

The Y axis of 2×2 basis matrix containing 2 :ref:`Vector2<class_Vector2>`\ s as its columns: X axis and Y axis. These vectors can be interpreted as the basis vectors of local coordinate system traveling with the object.

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

.. _class_Transform2D_method_Transform2D:

- :ref:`Transform2D<class_Transform2D>` **Transform2D** **(** :ref:`Transform<class_Transform>` from **)**

Constructs the transform from a 3D :ref:`Transform<class_Transform>`.

----

- :ref:`Transform2D<class_Transform2D>` **Transform2D** **(** :ref:`Vector2<class_Vector2>` x_axis, :ref:`Vector2<class_Vector2>` y_axis, :ref:`Vector2<class_Vector2>` origin **)**

Constructs the transform from 3 :ref:`Vector2<class_Vector2>`\ s representing x, y, and origin.

----

- :ref:`Transform2D<class_Transform2D>` **Transform2D** **(** :ref:`float<class_float>` rotation, :ref:`Vector2<class_Vector2>` position **)**

Constructs the transform from a given angle (in radians) and position.

----

.. _class_Transform2D_method_affine_inverse:

- :ref:`Transform2D<class_Transform2D>` **affine_inverse** **(** **)**

Returns the inverse of the matrix.

----

.. _class_Transform2D_method_basis_xform:

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

Transforms the given vector by this transform's basis (no translation).

----

.. _class_Transform2D_method_basis_xform_inv:

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

Inverse-transforms the given vector by this transform's basis (no translation).

----

.. _class_Transform2D_method_get_origin:

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

Returns the transform's origin (translation).

----

.. _class_Transform2D_method_get_rotation:

- :ref:`float<class_float>` **get_rotation** **(** **)**

Returns the transform's rotation (in radians).

----

.. _class_Transform2D_method_get_scale:

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

Returns the scale.

----

.. _class_Transform2D_method_interpolate_with:

- :ref:`Transform2D<class_Transform2D>` **interpolate_with** **(** :ref:`Transform2D<class_Transform2D>` transform, :ref:`float<class_float>` weight **)**

Returns a transform interpolated between this transform and another by a given weight (0-1).

----

.. _class_Transform2D_method_inverse:

- :ref:`Transform2D<class_Transform2D>` **inverse** **(** **)**

Returns the inverse of the transform, under the assumption that the transformation is composed of rotation and translation (no scaling, use affine_inverse for transforms with scaling).

----

.. _class_Transform2D_method_is_equal_approx:

- :ref:`bool<class_bool>` **is_equal_approx** **(** :ref:`Transform2D<class_Transform2D>` transform **)**

----

.. _class_Transform2D_method_orthonormalized:

- :ref:`Transform2D<class_Transform2D>` **orthonormalized** **(** **)**

Returns the transform with the basis orthogonal (90 degrees), and normalized axis vectors.

----

.. _class_Transform2D_method_rotated:

- :ref:`Transform2D<class_Transform2D>` **rotated** **(** :ref:`float<class_float>` phi **)**

Rotates the transform by the given angle (in radians).

----

.. _class_Transform2D_method_scaled:

- :ref:`Transform2D<class_Transform2D>` **scaled** **(** :ref:`Vector2<class_Vector2>` scale **)**

Scales the transform by the given factor.

----

.. _class_Transform2D_method_translated:

- :ref:`Transform2D<class_Transform2D>` **translated** **(** :ref:`Vector2<class_Vector2>` offset **)**

Translates the transform by the given offset.

----

.. _class_Transform2D_method_xform:

- :ref:`Variant<class_Variant>` **xform** **(** :ref:`Variant<class_Variant>` v **)**

Transforms the given :ref:`Vector2<class_Vector2>`, :ref:`Rect2<class_Rect2>`, or :ref:`PoolVector2Array<class_PoolVector2Array>` by this transform.

----

.. _class_Transform2D_method_xform_inv:

- :ref:`Variant<class_Variant>` **xform_inv** **(** :ref:`Variant<class_Variant>` v **)**

Inverse-transforms the given :ref:`Vector2<class_Vector2>`, :ref:`Rect2<class_Rect2>`, or :ref:`PoolVector2Array<class_PoolVector2Array>` by this transform.