code: def add_role_to_domain(
      self,
      domain: str,
      name: str,
      role: RoleFunction | XRefRole,
      override: bool = False,
  ) -> None:
      logger.debug(
          "[app] adding role to domain: %r", (domain, name, role)
      )
      if domain not in self.domains:
          raise ExtensionError(
              __("domain %s not yet registered") % domain
          )
      roles = self.domain_roles.setdefault(domain, {})
      if name in roles and not override:
          raise ExtensionError(
              __("The %r role is already registered to domain %s")
              % (name, domain)
          )
      roles[name] = role
  
imports: from __future__ import annotations
  import sys
  import traceback
  from importlib import import_module
  from types import MethodType
  from typing import TYPE_CHECKING, Any, Callable
  from sphinx.domains import Domain, Index, ObjType
  from sphinx.domains.std import GenericObject, Target
  from sphinx.errors import ExtensionError, SphinxError, VersionRequirementError
  from sphinx.extension import Extension
  from sphinx.io import create_publisher
  from sphinx.locale import __
  from sphinx.parsers import Parser
  from sphinx.roles import XRefRole
  from sphinx.util import logging
  from sphinx.util.logging import prefixed_warnings
label_desc: Use image node_id 9 for calling the SphinxComponentRegistry obj's underlying member method code with example usage: obj.add_role_to_domain(domain, name, role, override) without return types