private static int ceilToPowerOfTwo(int x) {
    return 1 << IntMath.log2(x, RoundingMode.CEILING);
  }

  /*
   * This method was written by Doug Lea with assistance from members of JCP JSR-166 Expert Group
   * and released to the public domain, as explained at
   * http://creativecommons.org/licenses/publicdomain
   *
   * As of 2010/06/11, this method is identical to the (package private) hash method in OpenJDK 7's

     * <pre>maven.relocations.entries = org.foo:*:*>, \\<br/>    org.here:*:*>org.there:*:*, \\<br/>    javax.inject:javax.inject:1>>jakarta.inject:jakarta.inject:1.0.5</pre>
     * means: 3 entries, ban <code>org.foo group</code> (exactly, so <code>org.foo.bar</code> is allowed),
     * relocate <code>org.here</code> to <code>org.there</code> and finally globally relocate (see <code>&gt;&gt;</code> above)

FastAPI depends on Pydantic and Starlette.

### `standard` Dependencies { #standard-dependencies }

When you install FastAPI with `pip install "fastapi[standard]"` it comes with the `standard` group of optional dependencies:

Used by Pydantic:

* <a href="https://github.com/JoshData/python-email-validator" target="_blank"><code>email-validator</code></a> - for email validation.

Used by Starlette:

        final Matcher matcher = Pattern.compile("href=\"[^\"]*(" + artifactType.getId() + "[a-zA-Z0-9\\-]+)/?\"").matcher(repoContent);
        while (matcher.find()) {
            final String name = matcher.group(1);
            if (isExcludedName(artifactType, name)) {
                continue;
            }
            final String pluginUrl = url + (url.endsWith("/") ? name + "/" : "/" + name + "/");
            try {

		{Name: "having_user_2", Age: 10},
		{Name: "having_user_1", Age: 20},
		{Name: "having_user_1", Age: 30},
	}

	DB.Create(&users)

	rows, err := DB.Select("name, count(*) as total").Table("users").Group("name").Having("name IN ?", []string{users[0].Name, users[1].Name}).Rows()
	if err != nil {
		t.Fatalf("got error %v", err)
	}

	defer rows.Close()
	for rows.Next() {
		var name string
		var total int64

}

// MetricsGroupV2 are a group of metrics that are initialized together.
type MetricsGroupV2 struct {
	metricsCache     *cachevalue.Cache[[]MetricV2] `msg:"-"`
	cacheInterval    time.Duration
	metricsGroupOpts MetricsGroupOpts
}

// MetricsGroupOpts are a group of metrics opts to be used to initialize the metrics group.
type MetricsGroupOpts struct {
	dependGlobalObjectAPI           bool

	if err != nil {
		t.Fatal(err)
	}
	if hdr.Name != chineseFilename {
		t.Fatal("Couldn't recover unicode name")
	}
	if hdr.Gname != chineseGroupname {
		t.Fatal("Couldn't recover unicode group")
	}
	if hdr.Uname != chineseUsername {
		t.Fatal("Couldn't recover unicode user")
	}
}

func TestPaxXattrs(t *testing.T) {
	xattrs := map[string]string{
		"user.key": "value",
	}

        final Pattern pattern = Pattern.compile("; *charset *= *([a-zA-Z0-9\\-_]+)", Pattern.CASE_INSENSITIVE);
        final Matcher matcher = pattern.matcher(content);
        if (matcher.find()) {
            return matcher.group(1);
        }
        return null;
    }

    /**
     * Gets a duplicate URL by adding or removing a trailing slash.
     *
     * @param requestData the request data to create a duplicate for

- Log messages and metrics for the watch cache are now keyed by `<resource>.<group>` instead of `go` struct type. This means e.g. that `*v1.Pod` becomes `pods`. Additionally, resources that come from `CustomResourceDefinitions` are displayed as the correct resource and group, instead of `*unstructured.Unstructured`. ([#111807](https://github.com/kubernetes/kubernetes/pull/111807), [@ncdc](https://github.com/ncdc))

### Support for cgroups v2 Graduates to Stable