845 lines
27 KiB
Python
845 lines
27 KiB
Python
# Copyright 2018 New Vector Ltd
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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import heapq
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import itertools
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import logging
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from typing import (
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Any,
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Awaitable,
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Callable,
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Dict,
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Generator,
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Iterable,
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List,
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Optional,
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Sequence,
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Set,
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Tuple,
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overload,
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)
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from typing_extensions import Literal, Protocol
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from synapse import event_auth
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from synapse.api.constants import EventTypes
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from synapse.api.errors import AuthError
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from synapse.api.room_versions import RoomVersion
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from synapse.events import EventBase
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from synapse.types import MutableStateMap, StateMap, StrCollection
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logger = logging.getLogger(__name__)
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class Clock(Protocol):
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# This is usually synapse.util.Clock, but it's replaced with a FakeClock in tests.
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# We only ever sleep(0) though, so that other async functions can make forward
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# progress without waiting for stateres to complete.
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def sleep(self, duration_ms: float) -> Awaitable[None]:
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...
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class StateResolutionStore(Protocol):
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# This is usually synapse.state.StateResolutionStore, but it's replaced with a
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# TestStateResolutionStore in tests.
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def get_events(
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self, event_ids: StrCollection, allow_rejected: bool = False
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) -> Awaitable[Dict[str, EventBase]]:
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...
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def get_auth_chain_difference(
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self, room_id: str, state_sets: List[Set[str]]
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) -> Awaitable[Set[str]]:
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...
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# We want to await to the reactor occasionally during state res when dealing
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# with large data sets, so that we don't exhaust the reactor. This is done by
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# awaiting to reactor during loops every N iterations.
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_AWAIT_AFTER_ITERATIONS = 100
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__all__ = [
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"resolve_events_with_store",
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]
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async def resolve_events_with_store(
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clock: Clock,
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room_id: str,
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room_version: RoomVersion,
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state_sets: Sequence[StateMap[str]],
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event_map: Optional[Dict[str, EventBase]],
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state_res_store: StateResolutionStore,
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) -> StateMap[str]:
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"""Resolves the state using the v2 state resolution algorithm
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Args:
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clock
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room_id: the room we are working in
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room_version: The room version
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state_sets: List of dicts of (type, state_key) -> event_id,
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which are the different state groups to resolve.
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event_map:
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a dict from event_id to event, for any events that we happen to
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have in flight (eg, those currently being persisted). This will be
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used as a starting point for finding the state we need; any missing
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events will be requested via state_res_store.
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If None, all events will be fetched via state_res_store.
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state_res_store:
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Returns:
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A map from (type, state_key) to event_id.
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"""
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logger.debug("Computing conflicted state")
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# We use event_map as a cache, so if its None we need to initialize it
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if event_map is None:
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event_map = {}
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# First split up the un/conflicted state
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unconflicted_state, conflicted_state = _seperate(state_sets)
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if not conflicted_state:
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return unconflicted_state
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logger.debug("%d conflicted state entries", len(conflicted_state))
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logger.debug("Calculating auth chain difference")
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# Also fetch all auth events that appear in only some of the state sets'
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# auth chains.
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auth_diff = await _get_auth_chain_difference(
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room_id, state_sets, event_map, state_res_store
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)
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full_conflicted_set = set(
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itertools.chain(
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itertools.chain.from_iterable(conflicted_state.values()), auth_diff
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)
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)
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events = await state_res_store.get_events(
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[eid for eid in full_conflicted_set if eid not in event_map],
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allow_rejected=True,
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)
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event_map.update(events)
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# everything in the event map should be in the right room
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for event in event_map.values():
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if event.room_id != room_id:
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raise Exception(
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"Attempting to state-resolve for room %s with event %s which is in %s"
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% (
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room_id,
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event.event_id,
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event.room_id,
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)
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)
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full_conflicted_set = {eid for eid in full_conflicted_set if eid in event_map}
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logger.debug("%d full_conflicted_set entries", len(full_conflicted_set))
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# Get and sort all the power events (kicks/bans/etc)
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power_events = (
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eid for eid in full_conflicted_set if _is_power_event(event_map[eid])
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)
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sorted_power_events = await _reverse_topological_power_sort(
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clock, room_id, power_events, event_map, state_res_store, full_conflicted_set
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)
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logger.debug("sorted %d power events", len(sorted_power_events))
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# Now sequentially auth each one
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resolved_state = await _iterative_auth_checks(
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clock,
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room_id,
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room_version,
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sorted_power_events,
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unconflicted_state,
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event_map,
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state_res_store,
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)
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logger.debug("resolved power events")
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# OK, so we've now resolved the power events. Now sort the remaining
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# events using the mainline of the resolved power level.
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set_power_events = set(sorted_power_events)
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leftover_events = [
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ev_id for ev_id in full_conflicted_set if ev_id not in set_power_events
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]
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logger.debug("sorting %d remaining events", len(leftover_events))
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pl = resolved_state.get((EventTypes.PowerLevels, ""), None)
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leftover_events = await _mainline_sort(
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clock, room_id, leftover_events, pl, event_map, state_res_store
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)
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logger.debug("resolving remaining events")
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resolved_state = await _iterative_auth_checks(
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clock,
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room_id,
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room_version,
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leftover_events,
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resolved_state,
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event_map,
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state_res_store,
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)
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logger.debug("resolved")
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# We make sure that unconflicted state always still applies.
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resolved_state.update(unconflicted_state)
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logger.debug("done")
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return resolved_state
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async def _get_power_level_for_sender(
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room_id: str,
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event_id: str,
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event_map: Dict[str, EventBase],
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state_res_store: StateResolutionStore,
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) -> int:
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"""Return the power level of the sender of the given event according to
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their auth events.
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Args:
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room_id
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event_id
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event_map
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state_res_store
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Returns:
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The power level.
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"""
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event = await _get_event(room_id, event_id, event_map, state_res_store)
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pl = None
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for aid in event.auth_event_ids():
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aev = await _get_event(
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room_id, aid, event_map, state_res_store, allow_none=True
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)
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if aev and (aev.type, aev.state_key) == (EventTypes.PowerLevels, ""):
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pl = aev
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break
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if pl is None:
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# Couldn't find power level. Check if they're the creator of the room
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for aid in event.auth_event_ids():
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aev = await _get_event(
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room_id, aid, event_map, state_res_store, allow_none=True
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)
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if aev and (aev.type, aev.state_key) == (EventTypes.Create, ""):
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if aev.content.get("creator") == event.sender:
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return 100
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break
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return 0
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level = pl.content.get("users", {}).get(event.sender)
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if level is None:
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level = pl.content.get("users_default", 0)
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if level is None:
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return 0
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else:
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return int(level)
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async def _get_auth_chain_difference(
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room_id: str,
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state_sets: Sequence[StateMap[str]],
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unpersisted_events: Dict[str, EventBase],
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state_res_store: StateResolutionStore,
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) -> Set[str]:
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"""Compare the auth chains of each state set and return the set of events
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that only appear in some, but not all of the auth chains.
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Args:
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state_sets: The input state sets we are trying to resolve across.
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unpersisted_events: A map from event ID to EventBase containing all unpersisted
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events involved in this resolution.
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state_res_store:
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Returns:
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The auth difference of the given state sets, as a set of event IDs.
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"""
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# The `StateResolutionStore.get_auth_chain_difference` function assumes that
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# all events passed to it (and their auth chains) have been persisted
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# previously. We need to manually handle any other events that are yet to be
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# persisted.
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#
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# We do this in three steps:
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# 1. Compute the set of unpersisted events belonging to the auth difference.
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# 2. Replacing any unpersisted events in the state_sets with their auth events,
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# recursively, until the state_sets contain only persisted events.
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# Then we call `store.get_auth_chain_difference` as normal, which computes
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# the set of persisted events belonging to the auth difference.
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# 3. Adding the results of 1 and 2 together.
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# Map from event ID in `unpersisted_events` to their auth event IDs, and their auth
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# event IDs if they appear in the `unpersisted_events`. This is the intersection of
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# the event's auth chain with the events in `unpersisted_events` *plus* their
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# auth event IDs.
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events_to_auth_chain: Dict[str, Set[str]] = {}
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for event in unpersisted_events.values():
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chain = {event.event_id}
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events_to_auth_chain[event.event_id] = chain
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to_search = [event]
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while to_search:
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for auth_id in to_search.pop().auth_event_ids():
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chain.add(auth_id)
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auth_event = unpersisted_events.get(auth_id)
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if auth_event:
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to_search.append(auth_event)
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# We now 1) calculate the auth chain difference for the unpersisted events
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# and 2) work out the state sets to pass to the store.
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#
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# Note: If there are no `unpersisted_events` (which is the common case), we can do a
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# much simpler calculation.
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if unpersisted_events:
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# The list of state sets to pass to the store, where each state set is a set
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# of the event ids making up the state. This is similar to `state_sets`,
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# except that (a) we only have event ids, not the complete
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# ((type, state_key)->event_id) mappings; and (b) we have stripped out
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# unpersisted events and replaced them with the persisted events in
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# their auth chain.
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state_sets_ids: List[Set[str]] = []
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# For each state set, the unpersisted event IDs reachable (by their auth
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# chain) from the events in that set.
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unpersisted_set_ids: List[Set[str]] = []
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for state_set in state_sets:
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set_ids: Set[str] = set()
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state_sets_ids.append(set_ids)
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unpersisted_ids: Set[str] = set()
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unpersisted_set_ids.append(unpersisted_ids)
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for event_id in state_set.values():
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event_chain = events_to_auth_chain.get(event_id)
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if event_chain is not None:
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# We have an unpersisted event. We add all the auth
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# events that it references which are also unpersisted.
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set_ids.update(
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e for e in event_chain if e not in unpersisted_events
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)
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# We also add the full chain of unpersisted event IDs
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# referenced by this state set, so that we can work out the
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# auth chain difference of the unpersisted events.
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unpersisted_ids.update(
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e for e in event_chain if e in unpersisted_events
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)
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else:
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set_ids.add(event_id)
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# The auth chain difference of the unpersisted events of the state sets
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# is calculated by taking the difference between the union and
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# intersections.
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union = unpersisted_set_ids[0].union(*unpersisted_set_ids[1:])
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intersection = unpersisted_set_ids[0].intersection(*unpersisted_set_ids[1:])
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auth_difference_unpersisted_part: StrCollection = union - intersection
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else:
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auth_difference_unpersisted_part = ()
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state_sets_ids = [set(state_set.values()) for state_set in state_sets]
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difference = await state_res_store.get_auth_chain_difference(
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room_id, state_sets_ids
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)
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difference.update(auth_difference_unpersisted_part)
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return difference
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def _seperate(
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state_sets: Iterable[StateMap[str]],
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) -> Tuple[StateMap[str], StateMap[Set[str]]]:
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"""Return the unconflicted and conflicted state. This is different than in
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the original algorithm, as this defines a key to be conflicted if one of
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the state sets doesn't have that key.
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Args:
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state_sets
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Returns:
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A tuple of unconflicted and conflicted state. The conflicted state dict
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is a map from type/state_key to set of event IDs
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"""
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unconflicted_state = {}
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conflicted_state = {}
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for key in set(itertools.chain.from_iterable(state_sets)):
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event_ids = {state_set.get(key) for state_set in state_sets}
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if len(event_ids) == 1:
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unconflicted_state[key] = event_ids.pop()
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else:
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event_ids.discard(None)
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conflicted_state[key] = event_ids
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# mypy doesn't understand that discarding None above means that conflicted
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# state is StateMap[Set[str]], not StateMap[Set[Optional[Str]]].
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return unconflicted_state, conflicted_state # type: ignore[return-value]
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def _is_power_event(event: EventBase) -> bool:
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"""Return whether or not the event is a "power event", as defined by the
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v2 state resolution algorithm
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Args:
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event
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Returns:
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True if the event is a power event.
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"""
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if (event.type, event.state_key) in (
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(EventTypes.PowerLevels, ""),
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(EventTypes.JoinRules, ""),
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(EventTypes.Create, ""),
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):
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return True
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if event.type == EventTypes.Member:
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if event.membership in ("leave", "ban"):
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return event.sender != event.state_key
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return False
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async def _add_event_and_auth_chain_to_graph(
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graph: Dict[str, Set[str]],
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room_id: str,
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event_id: str,
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event_map: Dict[str, EventBase],
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state_res_store: StateResolutionStore,
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full_conflicted_set: Set[str],
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) -> None:
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"""Helper function for _reverse_topological_power_sort that add the event
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and its auth chain (that is in the auth diff) to the graph
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Args:
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graph: A map from event ID to the events auth event IDs
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room_id: the room we are working in
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event_id: Event to add to the graph
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event_map
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state_res_store
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full_conflicted_set: Set of event IDs that are in the full conflicted set.
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"""
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state = [event_id]
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while state:
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eid = state.pop()
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graph.setdefault(eid, set())
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event = await _get_event(room_id, eid, event_map, state_res_store)
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for aid in event.auth_event_ids():
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if aid in full_conflicted_set:
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if aid not in graph:
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state.append(aid)
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graph.setdefault(eid, set()).add(aid)
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async def _reverse_topological_power_sort(
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clock: Clock,
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room_id: str,
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event_ids: Iterable[str],
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event_map: Dict[str, EventBase],
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state_res_store: StateResolutionStore,
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full_conflicted_set: Set[str],
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) -> List[str]:
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"""Returns a list of the event_ids sorted by reverse topological ordering,
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and then by power level and origin_server_ts
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Args:
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clock
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room_id: the room we are working in
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event_ids: The events to sort
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event_map
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state_res_store
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full_conflicted_set: Set of event IDs that are in the full conflicted set.
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Returns:
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The sorted list
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"""
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graph: Dict[str, Set[str]] = {}
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for idx, event_id in enumerate(event_ids, start=1):
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await _add_event_and_auth_chain_to_graph(
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graph, room_id, event_id, event_map, state_res_store, full_conflicted_set
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)
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# We await occasionally when we're working with large data sets to
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# ensure that we don't block the reactor loop for too long.
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if idx % _AWAIT_AFTER_ITERATIONS == 0:
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await clock.sleep(0)
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event_to_pl = {}
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for idx, event_id in enumerate(graph, start=1):
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pl = await _get_power_level_for_sender(
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room_id, event_id, event_map, state_res_store
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)
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event_to_pl[event_id] = pl
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# We await occasionally when we're working with large data sets to
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# ensure that we don't block the reactor loop for too long.
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if idx % _AWAIT_AFTER_ITERATIONS == 0:
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await clock.sleep(0)
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def _get_power_order(event_id: str) -> Tuple[int, int, str]:
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ev = event_map[event_id]
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pl = event_to_pl[event_id]
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return -pl, ev.origin_server_ts, event_id
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# Note: graph is modified during the sort
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|
it = lexicographical_topological_sort(graph, key=_get_power_order)
|
|
sorted_events = list(it)
|
|
|
|
return sorted_events
|
|
|
|
|
|
async def _iterative_auth_checks(
|
|
clock: Clock,
|
|
room_id: str,
|
|
room_version: RoomVersion,
|
|
event_ids: List[str],
|
|
base_state: StateMap[str],
|
|
event_map: Dict[str, EventBase],
|
|
state_res_store: StateResolutionStore,
|
|
) -> MutableStateMap[str]:
|
|
"""Sequentially apply auth checks to each event in given list, updating the
|
|
state as it goes along.
|
|
|
|
Args:
|
|
clock
|
|
room_id
|
|
room_version
|
|
event_ids: Ordered list of events to apply auth checks to
|
|
base_state: The set of state to start with
|
|
event_map
|
|
state_res_store
|
|
|
|
Returns:
|
|
Returns the final updated state
|
|
"""
|
|
resolved_state = dict(base_state)
|
|
|
|
for idx, event_id in enumerate(event_ids, start=1):
|
|
event = event_map[event_id]
|
|
|
|
auth_events = {}
|
|
for aid in event.auth_event_ids():
|
|
ev = await _get_event(
|
|
room_id, aid, event_map, state_res_store, allow_none=True
|
|
)
|
|
|
|
if not ev:
|
|
logger.warning(
|
|
"auth_event id %s for event %s is missing", aid, event_id
|
|
)
|
|
else:
|
|
if ev.rejected_reason is None:
|
|
auth_events[(ev.type, ev.state_key)] = ev
|
|
|
|
for key in event_auth.auth_types_for_event(room_version, event):
|
|
if key in resolved_state:
|
|
ev_id = resolved_state[key]
|
|
ev = await _get_event(room_id, ev_id, event_map, state_res_store)
|
|
|
|
if ev.rejected_reason is None:
|
|
auth_events[key] = event_map[ev_id]
|
|
|
|
if event.rejected_reason is not None:
|
|
# Do not admit previously rejected events into state.
|
|
# TODO: This isn't spec compliant. Events that were previously rejected due
|
|
# to failing auth checks at their state, but pass auth checks during
|
|
# state resolution should be accepted. Synapse does not handle the
|
|
# change of rejection status well, so we preserve the previous
|
|
# rejection status for now.
|
|
#
|
|
# Note that events rejected for non-state reasons, such as having the
|
|
# wrong auth events, should remain rejected.
|
|
#
|
|
# https://spec.matrix.org/v1.2/rooms/v9/#rejected-events
|
|
# https://github.com/matrix-org/synapse/issues/13797
|
|
continue
|
|
|
|
try:
|
|
event_auth.check_state_dependent_auth_rules(
|
|
event,
|
|
auth_events.values(),
|
|
)
|
|
|
|
resolved_state[(event.type, event.state_key)] = event_id
|
|
except AuthError:
|
|
pass
|
|
|
|
# We await occasionally when we're working with large data sets to
|
|
# ensure that we don't block the reactor loop for too long.
|
|
if idx % _AWAIT_AFTER_ITERATIONS == 0:
|
|
await clock.sleep(0)
|
|
|
|
return resolved_state
|
|
|
|
|
|
async def _mainline_sort(
|
|
clock: Clock,
|
|
room_id: str,
|
|
event_ids: List[str],
|
|
resolved_power_event_id: Optional[str],
|
|
event_map: Dict[str, EventBase],
|
|
state_res_store: StateResolutionStore,
|
|
) -> List[str]:
|
|
"""Returns a sorted list of event_ids sorted by mainline ordering based on
|
|
the given event resolved_power_event_id
|
|
|
|
Args:
|
|
clock
|
|
room_id: room we're working in
|
|
event_ids: Events to sort
|
|
resolved_power_event_id: The final resolved power level event ID
|
|
event_map
|
|
state_res_store
|
|
|
|
Returns:
|
|
The sorted list
|
|
"""
|
|
if not event_ids:
|
|
# It's possible for there to be no event IDs here to sort, so we can
|
|
# skip calculating the mainline in that case.
|
|
return []
|
|
|
|
mainline = []
|
|
pl = resolved_power_event_id
|
|
idx = 0
|
|
while pl:
|
|
mainline.append(pl)
|
|
pl_ev = await _get_event(room_id, pl, event_map, state_res_store)
|
|
auth_events = pl_ev.auth_event_ids()
|
|
pl = None
|
|
for aid in auth_events:
|
|
ev = await _get_event(
|
|
room_id, aid, event_map, state_res_store, allow_none=True
|
|
)
|
|
if ev and (ev.type, ev.state_key) == (EventTypes.PowerLevels, ""):
|
|
pl = aid
|
|
break
|
|
|
|
# We await occasionally when we're working with large data sets to
|
|
# ensure that we don't block the reactor loop for too long.
|
|
if idx != 0 and idx % _AWAIT_AFTER_ITERATIONS == 0:
|
|
await clock.sleep(0)
|
|
|
|
idx += 1
|
|
|
|
mainline_map = {ev_id: i + 1 for i, ev_id in enumerate(reversed(mainline))}
|
|
|
|
event_ids = list(event_ids)
|
|
|
|
order_map = {}
|
|
for idx, ev_id in enumerate(event_ids, start=1):
|
|
depth = await _get_mainline_depth_for_event(
|
|
clock, event_map[ev_id], mainline_map, event_map, state_res_store
|
|
)
|
|
order_map[ev_id] = (depth, event_map[ev_id].origin_server_ts, ev_id)
|
|
|
|
# We await occasionally when we're working with large data sets to
|
|
# ensure that we don't block the reactor loop for too long.
|
|
if idx % _AWAIT_AFTER_ITERATIONS == 0:
|
|
await clock.sleep(0)
|
|
|
|
event_ids.sort(key=lambda ev_id: order_map[ev_id])
|
|
|
|
return event_ids
|
|
|
|
|
|
async def _get_mainline_depth_for_event(
|
|
clock: Clock,
|
|
event: EventBase,
|
|
mainline_map: Dict[str, int],
|
|
event_map: Dict[str, EventBase],
|
|
state_res_store: StateResolutionStore,
|
|
) -> int:
|
|
"""Get the mainline depths for the given event based on the mainline map
|
|
|
|
Args:
|
|
event
|
|
mainline_map: Map from event_id to mainline depth for events in the mainline.
|
|
event_map
|
|
state_res_store
|
|
|
|
Returns:
|
|
The mainline depth
|
|
"""
|
|
|
|
room_id = event.room_id
|
|
tmp_event: Optional[EventBase] = event
|
|
|
|
# We do an iterative search, replacing `event with the power level in its
|
|
# auth events (if any)
|
|
idx = 0
|
|
while tmp_event:
|
|
depth = mainline_map.get(tmp_event.event_id)
|
|
if depth is not None:
|
|
return depth
|
|
|
|
auth_events = tmp_event.auth_event_ids()
|
|
tmp_event = None
|
|
|
|
for aid in auth_events:
|
|
aev = await _get_event(
|
|
room_id, aid, event_map, state_res_store, allow_none=True
|
|
)
|
|
if aev and (aev.type, aev.state_key) == (EventTypes.PowerLevels, ""):
|
|
tmp_event = aev
|
|
break
|
|
|
|
idx += 1
|
|
|
|
if idx % _AWAIT_AFTER_ITERATIONS == 0:
|
|
await clock.sleep(0)
|
|
|
|
# Didn't find a power level auth event, so we just return 0
|
|
return 0
|
|
|
|
|
|
@overload
|
|
async def _get_event(
|
|
room_id: str,
|
|
event_id: str,
|
|
event_map: Dict[str, EventBase],
|
|
state_res_store: StateResolutionStore,
|
|
allow_none: Literal[False] = False,
|
|
) -> EventBase:
|
|
...
|
|
|
|
|
|
@overload
|
|
async def _get_event(
|
|
room_id: str,
|
|
event_id: str,
|
|
event_map: Dict[str, EventBase],
|
|
state_res_store: StateResolutionStore,
|
|
allow_none: Literal[True],
|
|
) -> Optional[EventBase]:
|
|
...
|
|
|
|
|
|
async def _get_event(
|
|
room_id: str,
|
|
event_id: str,
|
|
event_map: Dict[str, EventBase],
|
|
state_res_store: StateResolutionStore,
|
|
allow_none: bool = False,
|
|
) -> Optional[EventBase]:
|
|
"""Helper function to look up event in event_map, falling back to looking
|
|
it up in the store
|
|
|
|
Args:
|
|
room_id
|
|
event_id
|
|
event_map
|
|
state_res_store
|
|
allow_none: if the event is not found, return None rather than raising
|
|
an exception
|
|
|
|
Returns:
|
|
The event, or none if the event does not exist (and allow_none is True).
|
|
"""
|
|
if event_id not in event_map:
|
|
events = await state_res_store.get_events([event_id], allow_rejected=True)
|
|
event_map.update(events)
|
|
event = event_map.get(event_id)
|
|
|
|
if event is None:
|
|
if allow_none:
|
|
return None
|
|
raise Exception("Unknown event %s" % (event_id,))
|
|
|
|
if event.room_id != room_id:
|
|
raise Exception(
|
|
"In state res for room %s, event %s is in %s"
|
|
% (room_id, event_id, event.room_id)
|
|
)
|
|
return event
|
|
|
|
|
|
def lexicographical_topological_sort(
|
|
graph: Dict[str, Set[str]], key: Callable[[str], Any]
|
|
) -> Generator[str, None, None]:
|
|
"""Performs a lexicographic reverse topological sort on the graph.
|
|
|
|
This returns a reverse topological sort (i.e. if node A references B then B
|
|
appears before A in the sort), with ties broken lexicographically based on
|
|
return value of the `key` function.
|
|
|
|
NOTE: `graph` is modified during the sort.
|
|
|
|
Args:
|
|
graph: A representation of the graph where each node is a key in the
|
|
dict and its value are the nodes edges.
|
|
key: A function that takes a node and returns a value that is comparable
|
|
and used to order nodes
|
|
|
|
Yields:
|
|
The next node in the topological sort
|
|
"""
|
|
|
|
# Note, this is basically Kahn's algorithm except we look at nodes with no
|
|
# outgoing edges, c.f.
|
|
# https://en.wikipedia.org/wiki/Topological_sorting#Kahn's_algorithm
|
|
outdegree_map = graph
|
|
reverse_graph: Dict[str, Set[str]] = {}
|
|
|
|
# Lists of nodes with zero out degree. Is actually a tuple of
|
|
# `(key(node), node)` so that sorting does the right thing
|
|
zero_outdegree = []
|
|
|
|
for node, edges in graph.items():
|
|
if len(edges) == 0:
|
|
zero_outdegree.append((key(node), node))
|
|
|
|
reverse_graph.setdefault(node, set())
|
|
for edge in edges:
|
|
reverse_graph.setdefault(edge, set()).add(node)
|
|
|
|
# heapq is a built in implementation of a sorted queue.
|
|
heapq.heapify(zero_outdegree)
|
|
|
|
while zero_outdegree:
|
|
_, node = heapq.heappop(zero_outdegree)
|
|
|
|
for parent in reverse_graph[node]:
|
|
out = outdegree_map[parent]
|
|
out.discard(node)
|
|
if len(out) == 0:
|
|
heapq.heappush(zero_outdegree, (key(parent), parent))
|
|
|
|
yield node
|