# {py:mod}`simvx.graphics.renderer.shadow_math`

```{py:module} simvx.graphics.renderer.shadow_math
```

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math
:allowtitles:
```

## Module Contents

### Functions

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

* - {py:obj}`depth_to_ndc <simvx.graphics.renderer.shadow_math.depth_to_ndc>`
  - ```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.depth_to_ndc
    :summary:
    ```
* - {py:obj}`compute_splits <simvx.graphics.renderer.shadow_math.compute_splits>`
  - ```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.compute_splits
    :summary:
    ```
* - {py:obj}`compute_cascades <simvx.graphics.renderer.shadow_math.compute_cascades>`
  - ```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.compute_cascades
    :summary:
    ```
````

### Data

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

* - {py:obj}`__all__ <simvx.graphics.renderer.shadow_math.__all__>`
  - ```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.__all__
    :summary:
    ```
* - {py:obj}`DEFAULT_CASCADE_COUNT <simvx.graphics.renderer.shadow_math.DEFAULT_CASCADE_COUNT>`
  - ```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.DEFAULT_CASCADE_COUNT
    :summary:
    ```
* - {py:obj}`DEFAULT_LAMBDA <simvx.graphics.renderer.shadow_math.DEFAULT_LAMBDA>`
  - ```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.DEFAULT_LAMBDA
    :summary:
    ```
* - {py:obj}`DEFAULT_PADDING <simvx.graphics.renderer.shadow_math.DEFAULT_PADDING>`
  - ```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.DEFAULT_PADDING
    :summary:
    ```
````

### API

````{py:data} __all__
:canonical: simvx.graphics.renderer.shadow_math.__all__
:value: >
   ['DEFAULT_CASCADE_COUNT', 'DEFAULT_LAMBDA', 'compute_cascades', 'compute_splits', 'depth_to_ndc']

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.__all__
```

````

````{py:data} DEFAULT_CASCADE_COUNT
:canonical: simvx.graphics.renderer.shadow_math.DEFAULT_CASCADE_COUNT
:value: >
   3

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.DEFAULT_CASCADE_COUNT
```

````

````{py:data} DEFAULT_LAMBDA
:canonical: simvx.graphics.renderer.shadow_math.DEFAULT_LAMBDA
:value: >
   0.5

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.DEFAULT_LAMBDA
```

````

````{py:data} DEFAULT_PADDING
:canonical: simvx.graphics.renderer.shadow_math.DEFAULT_PADDING
:value: >
   0.1

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.DEFAULT_PADDING
```

````

````{py:function} depth_to_ndc(z_eye: float, proj: numpy.ndarray) -> float
:canonical: simvx.graphics.renderer.shadow_math.depth_to_ndc

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.depth_to_ndc
```
````

````{py:function} compute_splits(near: float, far: float, cascade_count: int = DEFAULT_CASCADE_COUNT, lambda_split: float = DEFAULT_LAMBDA) -> numpy.ndarray
:canonical: simvx.graphics.renderer.shadow_math.compute_splits

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.compute_splits
```
````

````{py:function} compute_cascades(view: numpy.ndarray, proj: numpy.ndarray, light_dir: numpy.ndarray, near: float | None = None, far: float | None = None, cascade_count: int = DEFAULT_CASCADE_COUNT, lambda_split: float = DEFAULT_LAMBDA, padding: float = DEFAULT_PADDING, max_far: float = 300.0) -> tuple[numpy.ndarray, numpy.ndarray]
:canonical: simvx.graphics.renderer.shadow_math.compute_cascades

```{autodoc2-docstring} simvx.graphics.renderer.shadow_math.compute_cascades
```
````