final String scheme = paramMap.get(CRAWLER_WEB_AUTH + "." + webAuthName + ".scheme");

                final AuthScheme authScheme = getAuthScheme(paramMap, webAuthName, scheme);
                final AuthScope authScope = getAuthScope(webAuthName, scheme, paramMap);
                final Credentials credentials = getCredentials(webAuthName, scheme, paramMap);

You can reuse FastAPI's internal functions to create the HTML pages for the docs, and pass them the needed arguments:

* `openapi_url`: the URL where the HTML page for the docs can get the OpenAPI schema for your API. You can use here the attribute `app.openapi_url`.
* `title`: the title of your API.
* `oauth2_redirect_url`: you can use `app.swagger_ui_oauth2_redirect_url` here to use the default.

                        security_schemes
                    )
                if path_definitions:
                    definitions.update(path_definitions)
    if definitions:
        components["schemas"] = {k: definitions[k] for k in sorted(definitions)}
    if components:
        output["components"] = components
    output["paths"] = paths
    if webhook_paths:
        output["webhooks"] = webhook_paths

	// prefixed by 'proto='. The match is case-insensitive.
	protoRegex = regexp.MustCompile(`(?i)^(;|,| )+(?:proto=)(https|http)`)
)

// GetSourceScheme retrieves the scheme from the X-Forwarded-Proto and RFC7239
// Forwarded headers (in that order).
func GetSourceScheme(r *http.Request) string {
	var scheme string

	// Retrieve the scheme from X-Forwarded-Proto.

    The first part is the `scheme`, the second part is the `credentials`.

    For example, in an HTTP Bearer token scheme, the client will send a header
    like:

    ```
    Authorization: Bearer deadbeef12346
    ```

    In this case:

    * `scheme` will have the value `"Bearer"`
    * `credentials` will have the value `"deadbeef12346"`
    """

    scheme: Annotated[
        str,
        Doc(

  <mime-type type="text/x-scala">
    <_comment>Scala source code</_comment>
    <glob pattern="*.scala"/>
    <sub-class-of type="text/plain"/>
  </mime-type>

  <mime-type type="text/x-scheme">
    <_comment>Scheme source code</_comment>
    <glob pattern="*.scm"/>
    <sub-class-of type="text/plain"/>
  </mime-type>

  <mime-type type="text/x-sed">
    <_comment>Sed code</_comment>

  return other is Challenge &&
    other.scheme == scheme &&
    other.authParams == authParams
}

fun Challenge.commonHashCode(): Int {
  var result = 29
  result = 31 * result + scheme.hashCode()
  result = 31 * result + authParams.hashCode()
  return result
}

connectToMinio() {
  SCHEME=$1
  ATTEMPTS=0 ; LIMIT=29 ; # Allow 30 attempts
  set -e ; # fail if we can't read the keys.
  ACCESS=$(cat /config/rootUser) ; SECRET=$(cat /config/rootPassword) ;
  set +e ; # The connections to minio are allowed to fail.
  echo "Connecting to MinIO server: $SCHEME://$MINIO_ENDPOINT:$MINIO_PORT" ;
  MC_COMMAND="${MC} alias set myminio $SCHEME://$MINIO_ENDPOINT:$MINIO_PORT $ACCESS $SECRET" ;

connectToMinio() {
	SCHEME=$1
	ATTEMPTS=0
	LIMIT=29 # Allow 30 attempts
	set -e   # fail if we can't read the keys.
	ACCESS=$(cat /config/rootUser)
	SECRET=$(cat /config/rootPassword)
	set +e # The connections to minio are allowed to fail.
	echo "Connecting to MinIO server: $SCHEME://$MINIO_ENDPOINT:$MINIO_PORT"
	MC_COMMAND="${MC} alias set myminio $SCHEME://$MINIO_ENDPOINT:$MINIO_PORT $ACCESS $SECRET"
	$MC_COMMAND

            proxyAddress.port,
            url.scheme,
            challenge.realm,
            challenge.scheme,
            url.toUrl(),
            Authenticator.RequestorType.PROXY,
          )
        } else {
          Authenticator.requestPasswordAuthentication(
            url.host,
            proxy.connectToInetAddress(url, dns),
            url.port,
            url.scheme,
            challenge.realm,