# {py:mod}`evox.algorithms.mo.nsga3`

```{py:module} evox.algorithms.mo.nsga3
```

```{autodoc2-docstring} evox.algorithms.mo.nsga3
:allowtitles:
```

## Module Contents

### Classes

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

* - {py:obj}`NSGA3 <evox.algorithms.mo.nsga3.NSGA3>`
  - ```{autodoc2-docstring} evox.algorithms.mo.nsga3.NSGA3
    :summary:
    ```
````

### Functions

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

* - {py:obj}`_get_table_row_inner <evox.algorithms.mo.nsga3._get_table_row_inner>`
  - ```{autodoc2-docstring} evox.algorithms.mo.nsga3._get_table_row_inner
    :summary:
    ```
* - {py:obj}`_select_from_index_by_min_inner <evox.algorithms.mo.nsga3._select_from_index_by_min_inner>`
  - ```{autodoc2-docstring} evox.algorithms.mo.nsga3._select_from_index_by_min_inner
    :summary:
    ```
* - {py:obj}`_get_extreme_inner <evox.algorithms.mo.nsga3._get_extreme_inner>`
  - ```{autodoc2-docstring} evox.algorithms.mo.nsga3._get_extreme_inner
    :summary:
    ```
````

### Data

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

* - {py:obj}`vmap_get_table_row <evox.algorithms.mo.nsga3.vmap_get_table_row>`
  - ```{autodoc2-docstring} evox.algorithms.mo.nsga3.vmap_get_table_row
    :summary:
    ```
* - {py:obj}`vmap_select_from_index_by_min <evox.algorithms.mo.nsga3.vmap_select_from_index_by_min>`
  - ```{autodoc2-docstring} evox.algorithms.mo.nsga3.vmap_select_from_index_by_min
    :summary:
    ```
* - {py:obj}`vmap_get_extreme <evox.algorithms.mo.nsga3.vmap_get_extreme>`
  - ```{autodoc2-docstring} evox.algorithms.mo.nsga3.vmap_get_extreme
    :summary:
    ```
````

### API

````{py:function} _get_table_row_inner(bool_ref_candidate: torch.Tensor, upper_bound: torch.Tensor)
:canonical: evox.algorithms.mo.nsga3._get_table_row_inner

```{autodoc2-docstring} evox.algorithms.mo.nsga3._get_table_row_inner
```
````

````{py:data} vmap_get_table_row
:canonical: evox.algorithms.mo.nsga3.vmap_get_table_row
:value: >
   'vmap(...)'

```{autodoc2-docstring} evox.algorithms.mo.nsga3.vmap_get_table_row
```

````

````{py:function} _select_from_index_by_min_inner(group_id: torch.Tensor, group_dist: torch.Tensor, idx: torch.Tensor)
:canonical: evox.algorithms.mo.nsga3._select_from_index_by_min_inner

```{autodoc2-docstring} evox.algorithms.mo.nsga3._select_from_index_by_min_inner
```
````

````{py:data} vmap_select_from_index_by_min
:canonical: evox.algorithms.mo.nsga3.vmap_select_from_index_by_min
:value: >
   'vmap(...)'

```{autodoc2-docstring} evox.algorithms.mo.nsga3.vmap_select_from_index_by_min
```

````

````{py:function} _get_extreme_inner(norm_fit: torch.Tensor, w: torch.Tensor)
:canonical: evox.algorithms.mo.nsga3._get_extreme_inner

```{autodoc2-docstring} evox.algorithms.mo.nsga3._get_extreme_inner
```
````

````{py:data} vmap_get_extreme
:canonical: evox.algorithms.mo.nsga3.vmap_get_extreme
:value: >
   'vmap(...)'

```{autodoc2-docstring} evox.algorithms.mo.nsga3.vmap_get_extreme
```

````

`````{py:class} NSGA3(pop_size: int, n_objs: int, lb: torch.Tensor, ub: torch.Tensor, selection_op: typing.Optional[typing.Callable] = None, mutation_op: typing.Optional[typing.Callable] = None, crossover_op: typing.Optional[typing.Callable] = None, data_type: typing.Optional[torch.dtype] = None, device: torch.device | None = None)
:canonical: evox.algorithms.mo.nsga3.NSGA3

Bases: {py:obj}`evox.core.Algorithm`

```{autodoc2-docstring} evox.algorithms.mo.nsga3.NSGA3
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.algorithms.mo.nsga3.NSGA3.__init__
```

````{py:method} init_step()
:canonical: evox.algorithms.mo.nsga3.NSGA3.init_step

```{autodoc2-docstring} evox.algorithms.mo.nsga3.NSGA3.init_step
```

````

````{py:method} step()
:canonical: evox.algorithms.mo.nsga3.NSGA3.step

```{autodoc2-docstring} evox.algorithms.mo.nsga3.NSGA3.step
```

````

````{py:method} _get_extreme(norm_fit: torch.Tensor, w: torch.Tensor)
:canonical: evox.algorithms.mo.nsga3.NSGA3._get_extreme

```{autodoc2-docstring} evox.algorithms.mo.nsga3.NSGA3._get_extreme
```

````

````{py:method} _compute_distances(fit: torch.Tensor, ref: torch.Tensor)
:canonical: evox.algorithms.mo.nsga3.NSGA3._compute_distances

```{autodoc2-docstring} evox.algorithms.mo.nsga3.NSGA3._compute_distances
```

````

`````