longValues.add(Integer.MAX_VALUE + 1L, Long.MAX_VALUE - 1L, Long.MAX_VALUE);

    // Now add values near 2^N for lots of values of N.
    for (int exponent : asList(32, 33, 39, 40, 41, 47, 48, 49, 55, 56, 57)) {
      long x = 1L << exponent;
      longValues.add(x, x + 1, x - 1);
    }
    longValues.add(194368031998L).add(194368031999L); // sqrt(2^75) rounded up and down

    集成 API 与 OAuth2 第三方应用时，您能进行身份验证，使用请求凭证返回 API 文档，并使用真正的 OAuth2 身份验证与 API 文档进行交互操作。

    Swagger UI 在后台进行处理，但它需要这个**重定向**辅助函数。

### 创建测试*路径操作*

现在，测试各项功能是否能顺利运行。创建*路径操作*：

```Python hl_lines="39-41"
{!../../../docs_src/extending_openapi/tutorial002.py!}
```

### 测试文档

断开 WiFi 连接，打开 <a href="http://127.0.0.1:8000/docs" class="external-link" target="_blank">http://127.0.0.1:8000/docs，刷新页面。</a>

    ```

=== "Python 3.9+"

    ```Python hl_lines="23-38"
    {!> ../../../docs_src/schema_extra_example/tutorial004_an_py39.py!}
    ```

=== "Python 3.8+"

    ```Python hl_lines="24-39"
    {!> ../../../docs_src/schema_extra_example/tutorial004_an.py!}
    ```

=== "Python 3.10+ nicht annotiert"

    !!! tip "Tipp"
        Bevorzugen Sie die `Annotated`-Version, falls möglich.

    ```

=== "Python 3.9+"

    ```Python hl_lines="23-38"
    {!> ../../../docs_src/schema_extra_example/tutorial004_an_py39.py!}
    ```

=== "Python 3.8+"

    ```Python hl_lines="24-39"
    {!> ../../../docs_src/schema_extra_example/tutorial004_an.py!}
    ```

=== "Python 3.10+ non-Annotated"

    !!! tip
        Prefer to use the `Annotated` version if possible.

        (byte)22, (byte)18, (byte)11, (byte)3 , (byte)25, (byte) 7,
        (byte)15, (byte) 6, (byte)26, (byte)19, (byte)12, (byte) 1,
        (byte)40, (byte)51, (byte)30, (byte)36, (byte)46, (byte)54,
        (byte)29, (byte)39, (byte)50, (byte)44, (byte)32, (byte)47,
        (byte)43, (byte)48, (byte)38, (byte)55, (byte)33, (byte)52,
        (byte)45, (byte)41, (byte)49, (byte)35, (byte)28, (byte)31,
    };

    private static int[] SP1 = {

    ```Python hl_lines="9  11  16  22  24  29-30  33-35  40-41"
    {!> ../../../docs_src/extra_models/tutorial001.py!}
    ```

=== "🐍 3️⃣.1️⃣0️⃣ & 🔛"

    ```Python hl_lines="7  9  14  20  22  27-28  31-33  38-39"
    {!> ../../../docs_src/extra_models/tutorial001_py310.py!}
    ```

### 🔃 `**user_in.dict()`

#### Pydantic `.dict()`

`user_in` Pydantic 🏷 🎓 `UserIn`.

pkg debug/elf, const R_390_TLS_IE64 = 48
pkg debug/elf, const R_390_TLS_IE64 R_390
pkg debug/elf, const R_390_TLS_IEENT = 49
pkg debug/elf, const R_390_TLS_IEENT R_390
pkg debug/elf, const R_390_TLS_LDCALL = 39
pkg debug/elf, const R_390_TLS_LDCALL R_390
pkg debug/elf, const R_390_TLS_LDM32 = 45
pkg debug/elf, const R_390_TLS_LDM32 R_390
pkg debug/elf, const R_390_TLS_LDM64 = 46
pkg debug/elf, const R_390_TLS_LDM64 R_390

    ```

=== "Python 3.9+"

    ```Python hl_lines="23-38"
    {!> ../../../docs_src/schema_extra_example/tutorial004_an_py39.py!}
    ```

=== "Python 3.8+"

    ```Python hl_lines="24-39"
    {!> ../../../docs_src/schema_extra_example/tutorial004_an.py!}
    ```

=== "Python 3.10+ Annotated가 없는 경우"

    !!! tip "팁"
        가능하다면 `Annotated`가 달린 버전을 권장합니다.

    ```Python hl_lines="19-34"

          "legendFormat": "[{{drive}}]",
          "refId": "B"
        }
      ],
      "title": "IO Operations Waiting",
      "type": "timeseries"
    }
  ],
  "refresh": "",
  "schemaVersion": 39,
  "tags": [
    "minio"
  ],
  "templating": {
    "list": [
      {
        "current": {
        },
        "datasource": {
          "type": "prometheus",

ur(),this.highlightHour();break;case"minute":this.incrementMinute(),this.highlightMinute();break;case"second":this.incrementSecond(),this.highlightSecond();break;case"meridian":this.toggleMeridian(),this.highlightMeridian()}this.update();break;case 39:a.preventDefault(),this.highlightNextUnit(),this.updateFromElementVal();break;case 40:switch(a.preventDefault(),this.highlightedUnit){case"hour":this.decrementHour(),this.highlightHour();break;case"minute":this.decrementMinute(),this.highlightMinut...