"four", 4,
            "five", 5,
            "six", 6,
            "seven", 7),
        "one",
        1,
        "two",
        2,
        "three",
        3,
        "four",
        4,
        "five",
        5,
        "six",
        6,
        "seven",
        7);
    assertMapEquals(
        ImmutableBiMap.of(
            "one", 1,

            "one", 1,
            "two", 2,
            "three", 3,
            "four", 4,
            "five", 5,
            "six", 6,
            "seven", 7),
        "five",
        5,
        "four",
        4,
        "one",
        1,
        "seven",
        7,
        "six",
        6,
        "three",
        3,
        "two",
        2);
    assertMapEquals(

  // For example: (long) data[i++] | (long) data[i++] << 8 | ...
  // If data[i] == (byte) 0x80, the first cast will sign-extend it to 0xffffffffffffff80,
  // masking the remaining seven bytes.
  // To test this, we give an input where bit 7 is not cleared. For example:
  // (1) 00 01 02 03 04 05 06 07 80
  // (2) 00 01 02 03 04 05 06 07 81
  // (3) 00 01 02 03 04 05 06 07 ff (or anything in between)

  // For example: (long) data[i++] | (long) data[i++] << 8 | ...
  // If data[i] == (byte) 0x80, the first cast will sign-extend it to 0xffffffffffffff80,
  // masking the remaining seven bytes.
  // To test this, we give an input where bit 7 is not cleared. For example:
  // (1) 00 01 02 03 04 05 06 07 80
  // (2) 00 01 02 03 04 05 06 07 81
  // (3) 00 01 02 03 04 05 06 07 ff (or anything in between)

The commit messages that accompany your code changes are an important piece of documentation. Please follow these guidelines when creating commits:

* [Write good commit messages.](https://cbea.ms/git-commit/#seven-rules)

    return ImmutableList.copyOf(SORTED_NUMBER_NAMES.subList(i, j));
  }

  private static final ImmutableList<String> NUMBER_NAMES =
      ImmutableList.of("one", "two", "three", "four", "five", "six", "seven");

  private static final ImmutableList<String> SORTED_NUMBER_NAMES =
      Ordering.<String>natural().immutableSortedCopy(NUMBER_NAMES);

    return ImmutableList.copyOf(SORTED_NUMBER_NAMES.subList(i, j));
  }

  private static final ImmutableList<String> NUMBER_NAMES =
      ImmutableList.of("one", "two", "three", "four", "five", "six", "seven");

  private static final ImmutableList<String> SORTED_NUMBER_NAMES =
      Ordering.<String>natural().immutableSortedCopy(NUMBER_NAMES);

* 📝 Fix typos in code comments. PR [#14364](https://github.com/fastapi/fastapi/pull/14364) by [@Edge-Seven](https://github.com/Edge-Seven).
* 📝 Add docs for using FastAPI Cloud. PR [#14359](https://github.com/fastapi/fastapi/pull/14359) by [@tiangolo](https://github.com/tiangolo).

## 0.121.2 (2025-11-13)

### Fixes

So, `0.5` would be a valid value. But `0.0` or `0` would not.

And the same for <abbr title="less than"><code>lt</code></abbr>.

{* ../../docs_src/path_params_numeric_validations/tutorial006_an_py310.py hl[13] *}

## Recap { #recap }

By default, **FastAPI** will return JSON responses.

You can override it by returning a `Response` directly as seen in [Return a Response directly](response-directly.md).