testRotate(new double[] {1, 2}, -3, new double[] {2, 1});
    testRotate(new double[] {1, 2}, -1, new double[] {2, 1});
    testRotate(new double[] {1, 2}, -2, new double[] {1, 2});
    testRotate(new double[] {1, 2}, 0, new double[] {1, 2});
    testRotate(new double[] {1, 2}, 1, new double[] {2, 1});
    testRotate(new double[] {1, 2}, 2, new double[] {1, 2});

    testRotate(new float[] {1, 2}, -3, new float[] {2, 1});
    testRotate(new float[] {1, 2}, -1, new float[] {2, 1});
    testRotate(new float[] {1, 2}, -2, new float[] {1, 2});
    testRotate(new float[] {1, 2}, 0, new float[] {1, 2});
    testRotate(new float[] {1, 2}, 1, new float[] {2, 1});
    testRotate(new float[] {1, 2}, 2, new float[] {1, 2});

    testRotate(new long[] {1}, 2, new long[] {1});

    testRotate(new long[] {1, 2}, -3, new long[] {2, 1});
    testRotate(new long[] {1, 2}, -1, new long[] {2, 1});
    testRotate(new long[] {1, 2}, -2, new long[] {1, 2});
    testRotate(new long[] {1, 2}, 0, new long[] {1, 2});
    testRotate(new long[] {1, 2}, 1, new long[] {2, 1});
    testRotate(new long[] {1, 2}, 2, new long[] {1, 2});
    testRotate(new long[] {1, 2}, 3, new long[] {2, 1});

但这只会影响我们应用中的 `APIRouter`，而不会影响使用它的任何其他代码。

因此，举例来说，其他项目能够以不同的身份认证方法使用相同的 `APIRouter`。

### 包含一个*路径操作*

我们还可以直接将*路径操作*添加到 `FastAPI` 应用中。

这里我们这样做了...只是为了表明我们可以做到🤷：

```Python hl_lines="21-23" title="app/main.py"
{!../../docs_src/bigger_applications/app/main.py!}
```

它将与通过 `app.include_router()` 添加的所有其他*路径操作*一起正常运行。

/// info | "特别的技术细节"

**注意**：这是一个非常技术性的细节，你也许可以**直接跳过**。

---

  //   - Expression accessing a property named "redact__d": {"Expression": "object.redact__underscores__d > 0"}
  //
  // Equality on arrays with list type of 'set' or 'map' ignores element order, i.e. [1, 2] == [2, 1].
  // Concatenation on arrays with x-kubernetes-list-type use the semantics of the list type:
  //   - 'set': `X + Y` performs a union where the array positions of all elements in `X` are preserved and

/*
 * MinIO Object Storage (c) 2021 MinIO, Inc.
 *
 * Licensed under the Apache License, Version 2.0 (the "License");
 * you may not use this file except in compliance with the License.
 * You may obtain a copy of the License at
 *
 *      http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,

		{data1[:511], 0, io.ErrUnexpectedEOF},
		{data1[:512], 1, io.ErrUnexpectedEOF},
		{data1[:1024], 1, io.EOF},
		{data1[:1536], 2, io.ErrUnexpectedEOF},
		{data1[:2048], 2, io.EOF},
		{data1, 2, io.EOF},
		{data1[:2048] + data2[:1536], 3, io.EOF},
		{data2[:511], 0, io.ErrUnexpectedEOF},
		{data2[:512], 1, io.ErrUnexpectedEOF},
		{data2[:1195], 1, io.ErrUnexpectedEOF},

	EnableOff = madmin.EnableOff

	RegionKey  = "region"
	NameKey    = "name"
	RegionName = "name"
	AccessKey  = "access_key"
	SecretKey  = "secret_key"
	License    = "license" // Deprecated Dec 2021
	APIKey     = "api_key"
	Proxy      = "proxy"
)

// Top level config constants.
const (
	PolicyOPASubSys      = madmin.PolicyOPASubSys
	PolicyPluginSubSys   = madmin.PolicyPluginSubSys

   *
   * @param address BigInteger representing the IPv4 address
   * @return Inet4Address representation of the given BigInteger
   * @throws IllegalArgumentException if the BigInteger is not between 0 and 2^32-1
   * @since 28.2
   */
  public static Inet4Address fromIPv4BigInteger(BigInteger address) {
    return (Inet4Address) fromBigInteger(address, false);
  }
  /**

    AND LIMITATION MAY NOT APPLY TO YOU.

8. U.S. GOVERNMENT END USERS.

    The Covered Software is a "commercial item," as that term is defined
    in 48 C.F.R. 2.101 (Oct. 1995), consisting of "commercial computer
    software" (as that term is defined at 48 C.F.R. §
    252.227-7014(a)(1)) and "commercial computer software documentation"