# {py:mod}`simvx.core.math.transforms`

```{py:module} simvx.core.math.transforms
```

```{autodoc2-docstring} simvx.core.math.transforms
:allowtitles:
```

## Module Contents

### Classes

````{list-table}
:class: autosummary longtable
:align: left

* - {py:obj}`Transform2D <simvx.core.math.transforms.Transform2D>`
  - ```{autodoc2-docstring} simvx.core.math.transforms.Transform2D
    :summary:
    ```
* - {py:obj}`Basis <simvx.core.math.transforms.Basis>`
  - ```{autodoc2-docstring} simvx.core.math.transforms.Basis
    :summary:
    ```
* - {py:obj}`Transform3D <simvx.core.math.transforms.Transform3D>`
  - ```{autodoc2-docstring} simvx.core.math.transforms.Transform3D
    :summary:
    ```
````

### API

`````{py:class} Transform2D(position=(0, 0), rotation=0.0, scale=(1, 1))
:canonical: simvx.core.math.transforms.Transform2D

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D
```

```{rubric} Initialization
```

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.__init__
```

````{py:property} position
:canonical: simvx.core.math.transforms.Transform2D.position
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.position
```

````

````{py:property} rotation
:canonical: simvx.core.math.transforms.Transform2D.rotation
:type: float

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.rotation
```

````

````{py:property} scale
:canonical: simvx.core.math.transforms.Transform2D.scale
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.scale
```

````

````{py:property} matrix
:canonical: simvx.core.math.transforms.Transform2D.matrix
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.matrix
```

````

````{py:method} translated(offset) -> simvx.core.math.transforms.Transform2D
:canonical: simvx.core.math.transforms.Transform2D.translated

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.translated
```

````

````{py:method} rotated(angle: float) -> simvx.core.math.transforms.Transform2D
:canonical: simvx.core.math.transforms.Transform2D.rotated

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.rotated
```

````

````{py:method} scaled(factor) -> simvx.core.math.transforms.Transform2D
:canonical: simvx.core.math.transforms.Transform2D.scaled

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.scaled
```

````

````{py:method} transform_point(point) -> numpy.ndarray
:canonical: simvx.core.math.transforms.Transform2D.transform_point

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.transform_point
```

````

````{py:method} inverse() -> simvx.core.math.transforms.Transform2D
:canonical: simvx.core.math.transforms.Transform2D.inverse

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.inverse
```

````

````{py:method} __mul__(other)
:canonical: simvx.core.math.transforms.Transform2D.__mul__

```{autodoc2-docstring} simvx.core.math.transforms.Transform2D.__mul__
```

````

````{py:method} __eq__(other)
:canonical: simvx.core.math.transforms.Transform2D.__eq__

````

````{py:method} __repr__()
:canonical: simvx.core.math.transforms.Transform2D.__repr__

````

`````

`````{py:class} Basis(matrix: numpy.ndarray | None = None)
:canonical: simvx.core.math.transforms.Basis

```{autodoc2-docstring} simvx.core.math.transforms.Basis
```

```{rubric} Initialization
```

```{autodoc2-docstring} simvx.core.math.transforms.Basis.__init__
```

````{py:attribute} __slots__
:canonical: simvx.core.math.transforms.Basis.__slots__
:value: >
   ('_m',)

```{autodoc2-docstring} simvx.core.math.transforms.Basis.__slots__
```

````

````{py:property} x
:canonical: simvx.core.math.transforms.Basis.x
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Basis.x
```

````

````{py:property} y
:canonical: simvx.core.math.transforms.Basis.y
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Basis.y
```

````

````{py:property} z
:canonical: simvx.core.math.transforms.Basis.z
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Basis.z
```

````

````{py:method} rotated(axis, angle: float) -> simvx.core.math.transforms.Basis
:canonical: simvx.core.math.transforms.Basis.rotated

```{autodoc2-docstring} simvx.core.math.transforms.Basis.rotated
```

````

````{py:method} scaled(s) -> simvx.core.math.transforms.Basis
:canonical: simvx.core.math.transforms.Basis.scaled

```{autodoc2-docstring} simvx.core.math.transforms.Basis.scaled
```

````

````{py:method} transposed() -> simvx.core.math.transforms.Basis
:canonical: simvx.core.math.transforms.Basis.transposed

```{autodoc2-docstring} simvx.core.math.transforms.Basis.transposed
```

````

````{py:method} inverse() -> simvx.core.math.transforms.Basis
:canonical: simvx.core.math.transforms.Basis.inverse

```{autodoc2-docstring} simvx.core.math.transforms.Basis.inverse
```

````

````{py:method} get_euler() -> tuple[float, float, float]
:canonical: simvx.core.math.transforms.Basis.get_euler

```{autodoc2-docstring} simvx.core.math.transforms.Basis.get_euler
```

````

````{py:method} from_euler(euler) -> simvx.core.math.transforms.Basis
:canonical: simvx.core.math.transforms.Basis.from_euler
:classmethod:

```{autodoc2-docstring} simvx.core.math.transforms.Basis.from_euler
```

````

````{py:method} from_axis_angle(axis, angle: float) -> simvx.core.math.transforms.Basis
:canonical: simvx.core.math.transforms.Basis.from_axis_angle
:classmethod:

```{autodoc2-docstring} simvx.core.math.transforms.Basis.from_axis_angle
```

````

````{py:method} __eq__(other)
:canonical: simvx.core.math.transforms.Basis.__eq__

````

````{py:method} __repr__()
:canonical: simvx.core.math.transforms.Basis.__repr__

````

`````

`````{py:class} Transform3D(position=(0, 0, 0), rotation=None, scale=(1, 1, 1))
:canonical: simvx.core.math.transforms.Transform3D

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D
```

```{rubric} Initialization
```

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.__init__
```

````{py:property} position
:canonical: simvx.core.math.transforms.Transform3D.position
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.position
```

````

````{py:property} rotation
:canonical: simvx.core.math.transforms.Transform3D.rotation
:type: simvx.core.math.types.Quat

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.rotation
```

````

````{py:property} scale
:canonical: simvx.core.math.transforms.Transform3D.scale
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.scale
```

````

````{py:property} matrix
:canonical: simvx.core.math.transforms.Transform3D.matrix
:type: numpy.ndarray

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.matrix
```

````

````{py:method} translated(offset) -> simvx.core.math.transforms.Transform3D
:canonical: simvx.core.math.transforms.Transform3D.translated

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.translated
```

````

````{py:method} rotated(axis, angle: float) -> simvx.core.math.transforms.Transform3D
:canonical: simvx.core.math.transforms.Transform3D.rotated

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.rotated
```

````

````{py:method} scaled(factor) -> simvx.core.math.transforms.Transform3D
:canonical: simvx.core.math.transforms.Transform3D.scaled

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.scaled
```

````

````{py:method} transform_point(point) -> numpy.ndarray
:canonical: simvx.core.math.transforms.Transform3D.transform_point

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.transform_point
```

````

````{py:method} looking_at(target, up=(0, 1, 0)) -> simvx.core.math.transforms.Transform3D
:canonical: simvx.core.math.transforms.Transform3D.looking_at

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.looking_at
```

````

````{py:method} inverse() -> simvx.core.math.transforms.Transform3D
:canonical: simvx.core.math.transforms.Transform3D.inverse

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.inverse
```

````

````{py:property} basis
:canonical: simvx.core.math.transforms.Transform3D.basis
:type: simvx.core.math.transforms.Basis

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.basis
```

````

````{py:method} __mul__(other)
:canonical: simvx.core.math.transforms.Transform3D.__mul__

```{autodoc2-docstring} simvx.core.math.transforms.Transform3D.__mul__
```

````

````{py:method} __eq__(other)
:canonical: simvx.core.math.transforms.Transform3D.__eq__

````

````{py:method} __repr__()
:canonical: simvx.core.math.transforms.Transform3D.__repr__

````

`````