return [
        Item(aliased_name="foo"),
        Item(aliased_name="bar", price=1.0),
        Item(aliased_name="baz", price=2.0, owner_ids=[1, 2, 3]),
    ]


@app.get("/items/validdict", response_model=Dict[str, Item])
def get_validdict():
    return {
        "k1": Item(aliased_name="foo"),
        "k2": Item(aliased_name="bar", price=1.0),
        "k3": Item(aliased_name="baz", price=2.0, owner_ids=[1, 2, 3]),
    }

@app.get("/items/recursive", response_model=RecursiveItem)
def get_recursive():
    return {"name": "item", "sub_items": [{"name": "subitem", "sub_items": []}]}


@app.get("/items/recursive-submodel", response_model=RecursiveItemViaSubmodel)
def get_recursive_submodel():
    return {
        "name": "item",
        "sub_items1": [
            {
                "name": "subitem",
                "sub_items2": [
                    {

@app.get("/items/recursive", response_model=RecursiveItem)
def get_recursive():
    return {"name": "item", "sub_items": [{"name": "subitem", "sub_items": []}]}


@app.get("/items/recursive-submodel", response_model=RecursiveItemViaSubmodel)
def get_recursive_submodel():
    return {
        "name": "item",
        "sub_items1": [
            {
                "name": "subitem",
                "sub_items2": [
                    {

    response = client.post(
        "/authors/foo/items/",
        json=[{"name": "Bar"}, {"name": "Baz", "description": "Drop the Baz"}],
    )
    assert response.status_code == 200
    assert response.json() == {
        "name": "foo",
        "items": [
            {"name": "Bar", "description": None},
            {"name": "Baz", "description": "Drop the Baz"},
        ],
    }


def test_get_authors():

                "items": [
                    {"item_name": "Foo"},
                    {"item_name": "Bar"},
                    {"item_name": "Baz"},
                ]
            },
        ),
        (
            "/items?q=foo",
            200,
            {
                "items": [
                    {"item_name": "Foo"},
                    {"item_name": "Bar"},
                    {"item_name": "Baz"},

app = FastAPI()

items = {"foo": {"name": "Fighters", "size": 6}, "bar": {"name": "Tenders", "size": 3}}


@app.put("/items/{item_id}")
async def upsert_item(
    item_id: str,
    name: Annotated[Union[str, None], Body()] = None,
    size: Annotated[Union[int, None], Body()] = None,
):
    if item_id in items:
        item = items[item_id]
        item["name"] = name
        item["size"] = size
        return item

                    },
                },
                "Item": {
                    "title": "Item",
                    "required": ["name", "price"],
                    "type": "object",
                    "properties": {
                        "name": {"title": "Name", "type": "string"},
                        "description": IsDict(
                            {
                                "title": "Description",

def get_name_with_age(name: str, age: int):
    name_with_age = name + " is this old: " + age

                    },
                },
                "Item": {
                    "title": "Item",
                    "required": ["name", "price"],
                    "type": "object",
                    "properties": {
                        "name": {"title": "Name", "type": "string"},
                        "description": IsDict(
                            {
                                "title": "Description",

@app.get("/foo", response_model=Item)
def foo():
    return {"name": "Foo item"}


client = TestClient(app)


item_schema = {
    "title": "Item",
    "required": ["name"],
    "type": "object",
    "x-something-internal": {
        "level": 4,
    },
    "properties": {
        "name": {
            "title": "Name",
            "type": "string",
        }
    },
}