queryContext = new QueryContext("   ", false);
        assertEquals("*", queryContext.getQueryString());
        assertNull(queryContext.getDefaultField());
    }

    // Test constructor with normal query string
    @Test
    public void test_constructor_normalQueryString() {
        queryContext = new QueryContext("test query", false);
        assertEquals("test query", queryContext.getQueryString());

            mockedCrypto.when(Crypto::getMD5).thenReturn(mockMd5);
        }
    }

    @Test
    void testConstructorWithNormalKey() throws NoSuchAlgorithmException {
        // Test constructor with a normal length key
        try (MockedStatic<Crypto> mockedCrypto = mockStatic(Crypto.class)) {
            mockedCrypto.when(Crypto::getMD5).thenReturn(mockMd5);
            HMACT64 hmac = new HMACT64(TEST_KEY);

        String result = viewHelper.removeHighlightTag(text);
        assertEquals("highlighted text", result);

        text = "normal text";
        result = viewHelper.removeHighlightTag(text);
        assertEquals("normal text", result);

        text = "";
        result = viewHelper.removeHighlightTag(text);
        assertEquals("", result);
    }

   * href="https://docs.oracle.com/en/java/javase/25/docs/api/java.base/java/util/concurrent/locks/Condition.html#implementation-considerations-heading">spurious
   * wakeup</a>. This means that resulting wait is not "uninterruptible" in the normal sense of
   * {@link Uninterruptibles}. Still, this method allows callers to write <a
   * href="https://errorprone.info/bugpattern/WaitNotInLoop">the standard, required loop for waiting on a {@code

Ten en cuenta que el servidor (Uvicorn) no usará ese `root_path` para nada, a excepción de pasárselo a la app.

Pero si vas con tu navegador a [http://127.0.0.1:8000/app](http://127.0.0.1:8000/app) verás el response normal:

```JSON
{
    "message": "Hello World",
    "root_path": "/api/v1"
}
```

Así que no se esperará que sea accedido en `http://127.0.0.1:8000/api/v1/app`.

  }

  /**
   * Returns an {@code UnsignedInteger} corresponding to a given bit representation. The argument is
   * interpreted as an unsigned 32-bit value. Specifically, the sign bit of {@code bits} is
   * interpreted as a normal bit, and all other bits are treated as usual.
   *
   * <p>If the argument is nonnegative, the returned result will be equal to {@code bits},
   * otherwise, the result will be equal to {@code 2^32 + bits}.
   *

    public void tearDown() {
        if (rateLimiter != null) {
            rateLimiter.close();
        }
    }

    @Test
    public void testNormalAuthentication() throws Exception {
        // Normal authentication should be allowed
        assertTrue(rateLimiter.checkAttempt("user1", "192.168.1.1"), "First attempt should be allowed");

        // Record success
        rateLimiter.recordSuccess("user1", "192.168.1.1");

你的 API 的使用者（外部開發者）會透過一個 POST 請求在你的 API 中建立一張發票。

然後你的 API 會（讓我們想像）：

* 將發票寄給該外部開發者的某位客戶。
* 代收款項。
* 再把通知回傳給 API 使用者（外部開發者）。
    * 這會透過從「你的 API」向該外部開發者提供的「外部 API」送出 POST 請求完成（這就是「回呼」）。

## 一般的 **FastAPI** 應用 { #the-normal-fastapi-app }

先看看在加入回呼之前，一個一般的 API 應用會長什麼樣子。

它會有一個接收 `Invoice` body 的「路徑操作」，以及一個查詢參數 `callback_url`，其中包含用於回呼的 URL。

這部分很正常，多數程式碼你應該已經很熟悉了：

			}
			x = x<<8 | uint64(c)
		}
		if (x >> 63) > 0 {
			p.err = ErrHeader // Integer overflow
			return 0
		}
		if inv == 0xff {
			return ^int64(x)
		}
		return int64(x)
	}

	// Normal case is base-8 (octal) format.
	return p.parseOctal(b)
}

// formatNumeric encodes x into b using base-8 (octal) encoding if possible.
// Otherwise it will attempt to use base-256 (binary) encoding.

    @Before
    public void setUp() {
        testAnalyzer = new TestSuggestAnalyzer();
        analyzer = testAnalyzer;
    }

    @Test
    public void testAnalyzeWithValidInput() {
        // Test normal analyze with valid input
        String text = "test text";
        String field = "content";
        String lang = "en";

        List<AnalyzeToken> tokens = analyzer.analyze(text, field, lang);