*
   * <p><b>Note:</b> {@code a.asSet(d).equals(b.asSet(d))} does not imply {@code a.equals(b)}! For
   * example, {@code a} and {@code b} could be {@code [2..4]} and {@code (1..5)}, or the empty
   * ranges {@code [3..3)} and {@code [4..4)}.
   *
   * <p><b>Warning:</b> Be extremely careful what you do with the {@code asSet} view of a large

    // Ideally we would also test the bitSize() overflow of this BF, but it runs out of heap space
    // BloomFilter.create(Funnels.unencodedCharsFunnel(), 244412641, 1e-11);
  }

  /**
   * Asserts that {@link BloomFilter#approximateElementCount} is within 1 percent of the expected
   * value.
   */
  private static void assertApproximateElementCountGuess(BloomFilter<?> bf, int sizeGuess) {

    assert response.headers["content-type"] == json_type


def test_router_a_a_override():
    with client:
        response = client.get("/a/a/override")
    assert response.content == b"Hello A A"
    assert response.headers["content-type"] == text_type


def test_router_a_b():
    with client:
        response = client.get("/a/b")
    assert response.content == b"Hello A B"

        json={"name": "foo", "value": 123},
    )
    assert status_code == 200
    assert body == b'{"name":"foo","value":123,"dep":42}'


def test_sync_return_dict_without_response_model(benchmark, client: TestClient) -> None:
    status_code, body = _bench_get(benchmark, client, "/sync/dict-no-response-model")
    assert status_code == 200
    assert body == b'{"name":"foo","value":123}'

   *
   * <p><b>Note:</b> {@code a.asSet(d).equals(b.asSet(d))} does not imply {@code a.equals(b)}! For
   * example, {@code a} and {@code b} could be {@code [2..4]} and {@code (1..5)}, or the empty
   * ranges {@code [3..3)} and {@code [4..4)}.
   *
   * <p><b>Warning:</b> Be extremely careful what you do with the {@code asSet} view of a large

    assert response.status_code == 200
    assert response.json() == {
        "name": "Foo",
        "price": 50.5,
        "description": None,
        "tax": None,
    }


def test_post_with_str_float(client: TestClient):
    response = client.post("/items/", json={"name": "Foo", "price": "50.5"})
    assert response.status_code == 200
    assert response.json() == {
        "name": "Foo",

    response = client.post(path)
    assert response.status_code == 200, response.text
    assert response.json() == {"p": None}


@pytest.mark.parametrize(
    "path",
    ["/optional-list-str", "/model-optional-list-str"],
)
def test_optional_list_str(path: str):
    client = TestClient(app)
    response = client.post(path, data={"p": ["hello", "world"]})
    assert response.status_code == 200

    def endpoint(response: Annotated[Response, Depends(modify_response)]):
        return {"status": "ok"}

    client = TestClient(app)
    resp = client.get("/")

    assert resp.status_code == 200
    assert resp.json() == {"status": "ok"}
    assert resp.headers.get("X-Custom") == "modified"


def test_response_with_depends_default():
    """Response type hint should work with Response = Depends(...)."""
    app = FastAPI()

    response = client.get(path)
    assert response.status_code == 200
    assert response.json() == {"p": None}


@pytest.mark.parametrize(
    "path",
    ["/optional-str", "/model-optional-str"],
)
def test_optional_str(path: str):
    client = TestClient(app)
    client.cookies.set("p", "hello")
    response = client.get(path)
    assert response.status_code == 200
    assert response.json() == {"p": "hello"}

        assert state.app_shutdown is False
        assert state.router_shutdown is False
        assert state.sub_router_shutdown is False
        response = client.get("/")
        assert response.status_code == 200, response.text
        assert response.json() == {"message": "Hello World"}
    assert state.app_startup is True
    assert state.router_startup is True
    assert state.sub_router_startup is True