Faster joins: persist to database (#12012)

When we get a partial_state response from send_join, store information in the
database about it:
 * store a record about the room as a whole having partial state, and stash the
   list of member servers too.
 * flag the join event itself as having partial state
 * also, for any new events whose prev-events are partial-stated, note that
   they will *also* be partial-stated.

We don't yet make any attempt to interpret this data, so API calls (and a bunch
of other things) are just going to get incorrect data.

synapse/storage/databases/main/room.py

@@ -20,6 +20,7 @@ from typing import (
     TYPE_CHECKING,
     Any,
     Awaitable,
+    Collection,
     Dict,
     List,
     Optional,
@@ -1543,6 +1544,42 @@ class RoomStore(RoomBackgroundUpdateStore, RoomWorkerStore):
             lock=False,
         )
 
+    async def store_partial_state_room(
+        self,
+        room_id: str,
+        servers: Collection[str],
+    ) -> None:
+        """Mark the given room as containing events with partial state
+
+        Args:
+            room_id: the ID of the room
+            servers: other servers known to be in the room
+        """
+        await self.db_pool.runInteraction(
+            "store_partial_state_room",
+            self._store_partial_state_room_txn,
+            room_id,
+            servers,
+        )
+
+    @staticmethod
+    def _store_partial_state_room_txn(
+        txn: LoggingTransaction, room_id: str, servers: Collection[str]
+    ) -> None:
+        DatabasePool.simple_insert_txn(
+            txn,
+            table="partial_state_rooms",
+            values={
+                "room_id": room_id,
+            },
+        )
+        DatabasePool.simple_insert_many_txn(
+            txn,
+            table="partial_state_rooms_servers",
+            keys=("room_id", "server_name"),
+            values=((room_id, s) for s in servers),
+        )
+
     async def maybe_store_room_on_outlier_membership(
         self, room_id: str, room_version: RoomVersion
     ) -> None: