assertTrue(enforceVersion("[2.0,2.1]", actualVersion));
        assertFalse(enforceVersion("[2.0,2.0.3]", actualVersion));
        assertTrue(enforceVersion("[2.0,2.0.5]", actualVersion));
        assertFalse(enforceVersion("[2.0,2.0.5)", actualVersion));
    }

    public boolean enforceVersion(String requiredVersionRange, ArtifactVersion actualVersion)
            throws InvalidVersionSpecificationException {

    assertThrows(NumberFormatException.class, () -> UnsignedInts.decode("-0x5"));

    assertThrows(NumberFormatException.class, () -> UnsignedInts.decode("-05"));
  }

  public void testToString() {
    int[] bases = {2, 5, 7, 8, 10, 16};
    for (long a : UNSIGNED_INTS) {
      for (int base : bases) {

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>.

//// tab | Python 3.9+

```Python hl_lines="13"

Ainsi, `0.5` serait une valeur valide. Mais `0.0` ou `0` ne le serait pas.

Et la même chose pour <abbr title="less than"><code>lt</code></abbr>.

{* ../../docs_src/path_params_numeric_validations/tutorial006_an_py39.py hl[13] *}

github.com/nats-io/stan.go v0.10.4 h1:19GS/eD1SeQJaVkeM9EkvEYattnvnWrZ3wkSWSw4uXw=
github.com/nats-io/stan.go v0.10.4/go.mod h1:3XJXH8GagrGqajoO/9+HgPyKV5MWsv7S5ccdda+pc6k=
github.com/ncw/directio v1.0.5 h1:JSUBhdjEvVaJvOoyPAbcW0fnd0tvRXD76wEfZ1KcQz4=
github.com/ncw/directio v1.0.5/go.mod h1:rX/pKEYkOXBGOggmcyJeJGloCkleSvphPx2eV3t6ROk=
github.com/nsqio/go-nsq v1.1.0 h1:PQg+xxiUjA7V+TLdXw7nVrJ5Jbl3sN86EhGCQj4+FYE=

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.

<abbr title="less than"><code>lt</code></abbr> 역시 마찬가지입니다.

```Python hl_lines="11"
{!../../docs_src/path_params_numeric_validations/tutorial006.py!}
```

## 요약

        map sigbuild-r2.17-clang-python3.12 2.17-python3.12
    - name: Create Pull Request with changes
      uses: peter-evans/create-pull-request@5e914681df9dc83aa4e4905692ca88beb2f9e91f # v7.0.5
      with:
        title: Update the RBE images to the latest container versions
        committer: TensorFlow Release Automation <******@****.***>
        token: ${{ secrets.JENKINS_TOKEN }}

      case HALF_DOWN:
      case HALF_UP:
      case HALF_EVEN:
        // Since sqrt(2) is irrational, log2(x) - logFloor cannot be exactly 0.5
        int leadingZeros = Long.numberOfLeadingZeros(x);
        long cmp = MAX_POWER_OF_SQRT2_UNSIGNED >>> leadingZeros;
        // floor(2^(logFloor + 0.5))
        int logFloor = (Long.SIZE - 1) - leadingZeros;
        return logFloor + lessThanBranchFree(cmp, x);
    }

```

## 数值校验：浮点数、大于和小于

数值校验同样适用于 `float` 值。

能够声明 <abbr title="大于"><code>gt</code></abbr> 而不仅仅是 <abbr title="大于等于"><code>ge</code></abbr> 在这个前提下变得重要起来。例如，你可以要求一个值必须大于 `0`，即使它小于 `1`。

因此，`0.5` 将是有效值。但是 `0.0`或 `0` 不是。

对于 <abbr title="less than"><code>lt</code></abbr> 也是一样的。

```Python hl_lines="11"
{!../../docs_src/path_params_numeric_validations/tutorial006.py!}
```

## 总结

        assertEquals(0, synonymFile.selectList(-1, 5).size());
    }

    public void test_selectList2() {
        final PagingList<SynonymItem> itemList = synonymFile.selectList(0, 5);
        assertEquals(1, itemList.get(0).getInputs().length);
        assertEquals(1, itemList.get(0).getOutputs().length);
        assertEquals("a1", itemList.get(0).getInputs()[0]);