ElementOrder<N> nodeOrder = ElementOrder.insertion();
  ElementOrder<N> incidentEdgeOrder = ElementOrder.unordered();

  Optional<Integer> expectedNodeCount = Optional.absent();

  /**
   * Creates a new instance with the specified edge directionality.
   *
   * @param directed if true, creates an instance for graphs whose edges are each directed; if
   *     false, creates an instance for graphs whose edges are each undirected.
   */

from typing import Optional

from fastapi import Depends, FastAPI, Security
from fastapi.security import APIKeyQuery
from fastapi.testclient import TestClient
from pydantic import BaseModel

app = FastAPI()

api_key = APIKeyQuery(name="key", auto_error=False)


class User(BaseModel):
    username: str


def get_current_user(oauth_header: Optional[str] = Security(api_key)):
    if oauth_header is None:
        return None

    return get_typed_annotation(annotation, globalns)


def get_dependant(
    *,
    path: str,
    call: Callable[..., Any],
    name: Optional[str] = None,
    own_oauth_scopes: Optional[list[str]] = None,
    parent_oauth_scopes: Optional[list[str]] = None,
    use_cache: bool = True,
    scope: Union[Literal["function", "request"], None] = None,
) -> Dependant:
    dependant = Dependant(

    "com.oracle.svm.core.annotate;resolution:=optional," +
    "com.oracle.svm.core.configure;resolution:=optional," +
    "dalvik.system;resolution:=optional," +
    "org.conscrypt;resolution:=optional," +
    "org.bouncycastle.*;resolution:=optional," +
    "org.openjsse.*;resolution:=optional," +
    "org.graalvm.nativeimage;resolution:=optional," +
    "org.graalvm.nativeimage.hosted;resolution:=optional," +

    }

    @Override
    public Optional<Long> sizeIfKnown() {
      Optional<Long> optionalUnslicedSize = ByteSource.this.sizeIfKnown();
      if (optionalUnslicedSize.isPresent()) {
        long unslicedSize = optionalUnslicedSize.get();
        long off = min(offset, unslicedSize);
        return Optional.of(min(length, unslicedSize - off));
      }
      return Optional.absent();
    }

    @Override

from typing import Optional


def say_hi(name: Optional[str]):

import org.apache.maven.api.services.Request;
import org.apache.maven.api.services.Result;

/**
 * Interface for caching request results in Maven. This cache implementation provides
 * methods for executing and optionally caching both single requests and batches of requests.
 * <p>
 * The cache behavior is determined by the cache retention specified in the request's metadata.

    return f"foo bar {query}"


@app.get("/query/optional")
def get_query_optional(query=None):
    if query is None:
        return "foo bar"
    return f"foo bar {query}"


@app.get("/query/int")
def get_query_type(query: int):
    return f"foo bar {query}"


@app.get("/query/int/optional")
def get_query_type_optional(query: Optional[int] = None):
    if query is None:
        return "foo bar"

from typing import Optional

import pytest
from fastapi import FastAPI
from fastapi.exceptions import ResponseValidationError
from fastapi.testclient import TestClient
from pydantic.dataclasses import dataclass

app = FastAPI()


@dataclass
class Item:
    name: str
    price: Optional[float] = None
    owner_ids: Optional[list[int]] = None


@app.get("/items/invalid", response_model=Item)
def get_invalid():

from typing import Optional


def get_authorization_scheme_param(
    authorization_header_value: Optional[str],
) -> tuple[str, str]:
    if not authorization_header_value:
        return "", ""
    scheme, _, param = authorization_header_value.partition(" ")