```

## 🔢 🔬: 🎈, 🌘 🌘 & 🌘 🌘

🔢 🔬 👷 `float` 💲.

📥 🌐❔ ⚫️ ▶️️ ⚠ 💪 📣 <abbr title="greater than"><code>gt</code></abbr> &amp; 🚫 <abbr title="greater than or equal"><code>ge</code></abbr>. ⏮️ ⚫️ 👆 💪 🚚, 🖼, 👈 💲 🔜 👑 🌘 `0`, 🚥 ⚫️ 🌘 🌘 `1`.

, `0.5` 🔜 ☑ 💲. ✋️ `0.0` ⚖️ `0` 🔜 🚫.

&amp; 🎏 <abbr title="less than"><code>lt</code></abbr>.

```Python hl_lines="11"

Hier wird es wichtig, in der Lage zu sein, <abbr title="greater than – größer als"><code>gt</code></abbr> zu deklarieren, und nicht nur <abbr title="greater than or equal – größer oder gleich"><code>ge</code></abbr>, da Sie hiermit bestimmen können, dass ein Wert, zum Beispiel, größer als `0` sein muss, obwohl er kleiner als `1` ist.

`0.5` wäre also ein gültiger Wert, aber nicht `0.0` oder `0`.

```

That is not the same as declaring default values like would be with:

```Python
    first_name="john", last_name="doe"
```

It's a different thing.

We are using colons (`:`), not equals (`=`).

And adding type hints normally doesn't change what happens from what would happen without them.

But now, imagine you are again in the middle of creating that function, but with type hints.

-e .[all]
-r requirements-docs-tests.txt
pytest >=7.1.3,<8.0.0
coverage[toml] >= 6.5.0,< 8.0
mypy ==1.8.0
ruff ==0.2.0
dirty-equals ==0.6.0
# TODO: once removing databases from tutorial, upgrade SQLAlchemy
# probably when including SQLModel
sqlalchemy >=1.3.18,<1.4.43
databases[sqlite] >=0.3.2,<0.7.0
flask >=1.1.2,<3.0.0
anyio[trio] >=3.2.1,<4.0.0
python-jose[cryptography] >=3.3.0,<4.0.0
pyyaml >=5.3.1,<7.0.0
passlib[bcrypt] >=1.7.2,<2.0.0

```Python hl_lines="9"
{!../../../docs_src/path_params_numeric_validations/tutorial005.py!}
```

## 숫자 검증: 부동소수, 크거나 및 작거나

숫자 검증은 `float` 값에도 동작합니다.

여기에서 <abbr title="greater than or equal"><code>ge</code></abbr>뿐만 아니라 <abbr title="greater than"><code>gt</code></abbr>를 선언 할 수있는 것이 중요해집니다. 예를 들어 필요한 경우, 값이 `1`보다 작더라도 반드시 `0`보다 커야합니다.

즉, `0.5`는 유효한 값입니다. 그러나 `0.0` 또는 `0`은 그렇지 않습니다.

* Security and authentication, including support for **OAuth2** with **JWT tokens** and **HTTP Basic** auth.
* More advanced (but equally easy) techniques for declaring **deeply nested JSON models** (thanks to Pydantic).
* **GraphQL** integration with <a href="https://strawberry.rocks" class="external-link" target="_blank">Strawberry</a> and other libraries.

Validações numéricas também funcionam para valores do tipo `float`.

Aqui é onde se torna importante a possibilidade de declarar <abbr title="greater than"><code>gt</code></abbr> e não apenas <abbr title="greater than or equal"><code>ge</code></abbr>. Com isso você pode especificar, por exemplo, que um valor deve ser maior que `0`, ainda que seja menor que `1`.

Assim, `0.5` seria um valor válido. Mas `0.0` ou `0` não seria.

Валидация также применима к значениям типа `float`.

В этом случае становится важной возможность добавить ограничение <abbr title="greater than"><code>gt</code></abbr>, вместо <abbr title="greater than or equal"><code>ge</code></abbr>, поскольку в таком случае вы можете, например, создать ограничение, чтобы значение было больше `0`, даже если оно меньше `1`.

Таким образом, `0.5` будет корректным значением. А `0.0` или `0` — нет.

    ```

=== "Python 3.8+"

    ```Python hl_lines="9"
    {!> ../../../docs_src/path_params_numeric_validations/tutorial003_an.py!}
    ```

## Number validations: greater than or equal

With `Query` and `Path` (and others you'll see later) you can declare number constraints.

Here, with `ge=1`, `item_id` will need to be an integer number "`g`reater than or `e`qual" to `1`.

=== "Python 3.9+"

* Security and authentication, including support for **OAuth2** with **JWT tokens** and **HTTP Basic** auth.
* More advanced (but equally easy) techniques for declaring **deeply nested JSON models** (thanks to Pydantic).
* **GraphQL** integration with <a href="https://strawberry.rocks" class="external-link" target="_blank">Strawberry</a> and other libraries.