# {py:mod}`evox.problems.numerical.basic`

```{py:module} evox.problems.numerical.basic
```

```{autodoc2-docstring} evox.problems.numerical.basic
:allowtitles:
```

## Module Contents

### Classes

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

* - {py:obj}`ShiftAffineNumericalProblem <evox.problems.numerical.basic.ShiftAffineNumericalProblem>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.ShiftAffineNumericalProblem
    :summary:
    ```
* - {py:obj}`Ackley <evox.problems.numerical.basic.Ackley>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Ackley
    :summary:
    ```
* - {py:obj}`Griewank <evox.problems.numerical.basic.Griewank>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Griewank
    :summary:
    ```
* - {py:obj}`Rastrigin <evox.problems.numerical.basic.Rastrigin>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Rastrigin
    :summary:
    ```
* - {py:obj}`Rosenbrock <evox.problems.numerical.basic.Rosenbrock>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Rosenbrock
    :summary:
    ```
* - {py:obj}`Schwefel <evox.problems.numerical.basic.Schwefel>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Schwefel
    :summary:
    ```
* - {py:obj}`Sphere <evox.problems.numerical.basic.Sphere>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Sphere
    :summary:
    ```
* - {py:obj}`Ellipsoid <evox.problems.numerical.basic.Ellipsoid>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Ellipsoid
    :summary:
    ```
* - {py:obj}`Zakharov <evox.problems.numerical.basic.Zakharov>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Zakharov
    :summary:
    ```
* - {py:obj}`Levy <evox.problems.numerical.basic.Levy>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.Levy
    :summary:
    ```
````

### Functions

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

* - {py:obj}`ackley_func <evox.problems.numerical.basic.ackley_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.ackley_func
    :summary:
    ```
* - {py:obj}`griewank_func <evox.problems.numerical.basic.griewank_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.griewank_func
    :summary:
    ```
* - {py:obj}`rastrigin_func <evox.problems.numerical.basic.rastrigin_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.rastrigin_func
    :summary:
    ```
* - {py:obj}`rosenbrock_func <evox.problems.numerical.basic.rosenbrock_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.rosenbrock_func
    :summary:
    ```
* - {py:obj}`schwefel_func <evox.problems.numerical.basic.schwefel_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.schwefel_func
    :summary:
    ```
* - {py:obj}`sphere_func <evox.problems.numerical.basic.sphere_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.sphere_func
    :summary:
    ```
* - {py:obj}`ellipsoid_func <evox.problems.numerical.basic.ellipsoid_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.ellipsoid_func
    :summary:
    ```
* - {py:obj}`zakharov_func <evox.problems.numerical.basic.zakharov_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.zakharov_func
    :summary:
    ```
* - {py:obj}`levy_func <evox.problems.numerical.basic.levy_func>`
  - ```{autodoc2-docstring} evox.problems.numerical.basic.levy_func
    :summary:
    ```
````

### API

`````{py:class} ShiftAffineNumericalProblem(shift: torch.Tensor | None = None, affine: torch.Tensor | None = None)
:canonical: evox.problems.numerical.basic.ShiftAffineNumericalProblem

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

```{autodoc2-docstring} evox.problems.numerical.basic.ShiftAffineNumericalProblem
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.ShiftAffineNumericalProblem.__init__
```

````{py:method} evaluate(pop: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.ShiftAffineNumericalProblem.evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.ShiftAffineNumericalProblem.evaluate
```

````

`````

`````{py:class} Ackley(a: float = 20.0, b: float = 0.2, c: float = 2 * torch.pi, **kwargs)
:canonical: evox.problems.numerical.basic.Ackley

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Ackley
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Ackley.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Ackley._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Ackley._true_evaluate
```

````

`````

`````{py:class} Griewank(**kwargs)
:canonical: evox.problems.numerical.basic.Griewank

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Griewank
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Griewank.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Griewank._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Griewank._true_evaluate
```

````

`````

`````{py:class} Rastrigin(**kwargs)
:canonical: evox.problems.numerical.basic.Rastrigin

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Rastrigin
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Rastrigin.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Rastrigin._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Rastrigin._true_evaluate
```

````

`````

`````{py:class} Rosenbrock(**kwargs)
:canonical: evox.problems.numerical.basic.Rosenbrock

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Rosenbrock
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Rosenbrock.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Rosenbrock._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Rosenbrock._true_evaluate
```

````

`````

`````{py:class} Schwefel(**kwargs)
:canonical: evox.problems.numerical.basic.Schwefel

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Schwefel
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Schwefel.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Schwefel._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Schwefel._true_evaluate
```

````

`````

`````{py:class} Sphere(**kwargs)
:canonical: evox.problems.numerical.basic.Sphere

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Sphere
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Sphere.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Sphere._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Sphere._true_evaluate
```

````

`````

`````{py:class} Ellipsoid(**kwargs)
:canonical: evox.problems.numerical.basic.Ellipsoid

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Ellipsoid
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Ellipsoid.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Ellipsoid._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Ellipsoid._true_evaluate
```

````

`````

`````{py:class} Zakharov(**kwargs)
:canonical: evox.problems.numerical.basic.Zakharov

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Zakharov
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Zakharov.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Zakharov._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Zakharov._true_evaluate
```

````

`````

`````{py:class} Levy(**kwargs)
:canonical: evox.problems.numerical.basic.Levy

Bases: {py:obj}`evox.problems.numerical.basic.ShiftAffineNumericalProblem`

```{autodoc2-docstring} evox.problems.numerical.basic.Levy
```

```{rubric} Initialization
```

```{autodoc2-docstring} evox.problems.numerical.basic.Levy.__init__
```

````{py:method} _true_evaluate(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.Levy._true_evaluate

```{autodoc2-docstring} evox.problems.numerical.basic.Levy._true_evaluate
```

````

`````

````{py:function} ackley_func(a: float, b: float, c: float, x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.ackley_func

```{autodoc2-docstring} evox.problems.numerical.basic.ackley_func
```
````

````{py:function} griewank_func(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.griewank_func

```{autodoc2-docstring} evox.problems.numerical.basic.griewank_func
```
````

````{py:function} rastrigin_func(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.rastrigin_func

```{autodoc2-docstring} evox.problems.numerical.basic.rastrigin_func
```
````

````{py:function} rosenbrock_func(x)
:canonical: evox.problems.numerical.basic.rosenbrock_func

```{autodoc2-docstring} evox.problems.numerical.basic.rosenbrock_func
```
````

````{py:function} schwefel_func(x)
:canonical: evox.problems.numerical.basic.schwefel_func

```{autodoc2-docstring} evox.problems.numerical.basic.schwefel_func
```
````

````{py:function} sphere_func(x)
:canonical: evox.problems.numerical.basic.sphere_func

```{autodoc2-docstring} evox.problems.numerical.basic.sphere_func
```
````

````{py:function} ellipsoid_func(x: torch.Tensor)
:canonical: evox.problems.numerical.basic.ellipsoid_func

```{autodoc2-docstring} evox.problems.numerical.basic.ellipsoid_func
```
````

````{py:function} zakharov_func(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.zakharov_func

```{autodoc2-docstring} evox.problems.numerical.basic.zakharov_func
```
````

````{py:function} levy_func(x: torch.Tensor) -> torch.Tensor
:canonical: evox.problems.numerical.basic.levy_func

```{autodoc2-docstring} evox.problems.numerical.basic.levy_func
```
````