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

.. _class_Transform:

Transform
=========

**Category:** Built-In Types

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

3D Transformation. 3x4 matrix.

Member Functions
----------------

+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`Transform<class_Transform_Transform>` **(** :ref:`Vector3<class_vector3>` x_axis, :ref:`Vector3<class_vector3>` y_axis, :ref:`Vector3<class_vector3>` z_axis, :ref:`Vector3<class_vector3>` origin **)** |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`Transform<class_Transform_Transform>` **(** :ref:`Basis<class_basis>` basis, :ref:`Vector3<class_vector3>` origin **)**                                                                                  |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`Transform<class_Transform_Transform>` **(** :ref:`Transform2D<class_transform2d>` from **)**                                                                                                             |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`Transform<class_Transform_Transform>` **(** :ref:`Quat<class_quat>` from **)**                                                                                                                           |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`Transform<class_Transform_Transform>` **(** :ref:`Basis<class_basis>` from **)**                                                                                                                         |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`affine_inverse<class_Transform_affine_inverse>` **(** **)**                                                                                                                                              |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`interpolate_with<class_Transform_interpolate_with>` **(** :ref:`Transform<class_transform>` transform, :ref:`float<class_float>` weight **)**                                                            |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`inverse<class_Transform_inverse>` **(** **)**                                                                                                                                                            |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`looking_at<class_Transform_looking_at>` **(** :ref:`Vector3<class_vector3>` target, :ref:`Vector3<class_vector3>` up **)**                                                                               |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`orthonormalized<class_Transform_orthonormalized>` **(** **)**                                                                                                                                            |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`rotated<class_Transform_rotated>` **(** :ref:`Vector3<class_vector3>` axis, :ref:`float<class_float>` phi **)**                                                                                          |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`scaled<class_Transform_scaled>` **(** :ref:`Vector3<class_vector3>` scale **)**                                                                                                                          |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| :ref:`Transform<class_transform>`  | :ref:`translated<class_Transform_translated>` **(** :ref:`Vector3<class_vector3>` ofs **)**                                                                                                                    |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| var                                | :ref:`xform<class_Transform_xform>` **(** var v **)**                                                                                                                                                          |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+
| var                                | :ref:`xform_inv<class_Transform_xform_inv>` **(** var v **)**                                                                                                                                                  |
+------------------------------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+

Member Variables
----------------

  .. _class_Transform_basis:

- :ref:`Basis<class_basis>` **basis** - The basis is a matrix containing 3 :ref:`Vector3<class_vector3>` as its columns: X axis, Y axis, and Z axis. These vectors can be interpreted as the basis vectors of local coordinate system traveling with the object.

  .. _class_Transform_origin:

- :ref:`Vector3<class_vector3>` **origin** - The translation offset of the transform.


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

Represents one or many transformations in 3D space such as translation, rotation, or scaling. It consists of a :ref:`Basis<class_basis>` "basis" and an :ref:`Vector3<class_vector3>` "origin". It is similar to a 3x4 matrix.

Member Function Description
---------------------------

.. _class_Transform_Transform:

- :ref:`Transform<class_transform>` **Transform** **(** :ref:`Vector3<class_vector3>` x_axis, :ref:`Vector3<class_vector3>` y_axis, :ref:`Vector3<class_vector3>` z_axis, :ref:`Vector3<class_vector3>` origin **)**

Constructs the Transform from four :ref:`Vector3<class_vector3>`. Each axis corresponds to local basis vectors (some of which may be scaled).

.. _class_Transform_Transform:

- :ref:`Transform<class_transform>` **Transform** **(** :ref:`Basis<class_basis>` basis, :ref:`Vector3<class_vector3>` origin **)**

Constructs the Transform from a :ref:`Basis<class_basis>` and :ref:`Vector3<class_vector3>`.

.. _class_Transform_Transform:

- :ref:`Transform<class_transform>` **Transform** **(** :ref:`Transform2D<class_transform2d>` from **)**

Constructs the Transform from a :ref:`Transform2D<class_transform2d>`.

.. _class_Transform_Transform:

- :ref:`Transform<class_transform>` **Transform** **(** :ref:`Quat<class_quat>` from **)**

Constructs the Transform from a :ref:`Quat<class_quat>`. The origin will be Vector3(0, 0, 0).

.. _class_Transform_Transform:

- :ref:`Transform<class_transform>` **Transform** **(** :ref:`Basis<class_basis>` from **)**

Constructs the Transform from a :ref:`Basis<class_basis>`. The origin will be Vector3(0, 0, 0).

.. _class_Transform_affine_inverse:

- :ref:`Transform<class_transform>` **affine_inverse** **(** **)**

Returns the inverse of the transform, under the assumption that the transformation is composed of rotation, scaling and translation.

.. _class_Transform_interpolate_with:

- :ref:`Transform<class_transform>` **interpolate_with** **(** :ref:`Transform<class_transform>` transform, :ref:`float<class_float>` weight **)**

Interpolates the transform to other Transform by weight amount (0-1).

.. _class_Transform_inverse:

- :ref:`Transform<class_transform>` **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_Transform_looking_at:

- :ref:`Transform<class_transform>` **looking_at** **(** :ref:`Vector3<class_vector3>` target, :ref:`Vector3<class_vector3>` up **)**

Returns a copy of the transform rotated such that its -Z axis points towards the ``target`` position.

The transform will first be rotated around the given ``up`` vector, and then fully aligned to the target by a further rotation around an axis perpendicular to both the ``target`` and ``up`` vectors.

Operations take place in global space.

.. _class_Transform_orthonormalized:

- :ref:`Transform<class_transform>` **orthonormalized** **(** **)**

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

.. _class_Transform_rotated:

- :ref:`Transform<class_transform>` **rotated** **(** :ref:`Vector3<class_vector3>` axis, :ref:`float<class_float>` phi **)**

Rotates the transform around given axis by phi. The axis must be a normalized vector.

.. _class_Transform_scaled:

- :ref:`Transform<class_transform>` **scaled** **(** :ref:`Vector3<class_vector3>` scale **)**

Scales the transform by the specified 3D scaling factors.

.. _class_Transform_translated:

- :ref:`Transform<class_transform>` **translated** **(** :ref:`Vector3<class_vector3>` ofs **)**

Translates the transform by the specified offset.

.. _class_Transform_xform:

- var **xform** **(** var v **)**

Transforms the given vector "v" by this transform.

.. _class_Transform_xform_inv:

- var **xform_inv** **(** var v **)**

Inverse-transforms the given vector "v" by this transform.