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+# -*- coding: utf-8 -*-
+# Copyright 2018 New Vector Ltd
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import itertools
+
+from six.moves import zip
+
+import attr
+
+from synapse.api.constants import EventTypes, JoinRules, Membership
+from synapse.event_auth import auth_types_for_event
+from synapse.events import FrozenEvent
+from synapse.state.v2 import lexicographical_topological_sort, resolve_events_with_store
+from synapse.types import EventID
+
+from tests import unittest
+
+ALICE = "@alice:example.com"
+BOB = "@bob:example.com"
+CHARLIE = "@charlie:example.com"
+EVELYN = "@evelyn:example.com"
+ZARA = "@zara:example.com"
+
+ROOM_ID = "!test:example.com"
+
+MEMBERSHIP_CONTENT_JOIN = {"membership": Membership.JOIN}
+MEMBERSHIP_CONTENT_BAN = {"membership": Membership.BAN}
+
+
+ORIGIN_SERVER_TS = 0
+
+
+class FakeEvent(object):
+    """A fake event we use as a convenience.
+
+    NOTE: Again as a convenience we use "node_ids" rather than event_ids to
+    refer to events. The event_id has node_id as localpart and example.com
+    as domain.
+    """
+    def __init__(self, id, sender, type, state_key, content):
+        self.node_id = id
+        self.event_id = EventID(id, "example.com").to_string()
+        self.sender = sender
+        self.type = type
+        self.state_key = state_key
+        self.content = content
+
+    def to_event(self, auth_events, prev_events):
+        """Given the auth_events and prev_events, convert to a Frozen Event
+
+        Args:
+            auth_events (list[str]): list of event_ids
+            prev_events (list[str]): list of event_ids
+
+        Returns:
+            FrozenEvent
+        """
+        global ORIGIN_SERVER_TS
+
+        ts = ORIGIN_SERVER_TS
+        ORIGIN_SERVER_TS = ORIGIN_SERVER_TS + 1
+
+        event_dict = {
+            "auth_events": [(a, {}) for a in auth_events],
+            "prev_events": [(p, {}) for p in prev_events],
+            "event_id": self.node_id,
+            "sender": self.sender,
+            "type": self.type,
+            "content": self.content,
+            "origin_server_ts": ts,
+            "room_id": ROOM_ID,
+        }
+
+        if self.state_key is not None:
+            event_dict["state_key"] = self.state_key
+
+        return FrozenEvent(event_dict)
+
+
+# All graphs start with this set of events
+INITIAL_EVENTS = [
+    FakeEvent(
+        id="CREATE",
+        sender=ALICE,
+        type=EventTypes.Create,
+        state_key="",
+        content={"creator": ALICE},
+    ),
+    FakeEvent(
+        id="IMA",
+        sender=ALICE,
+        type=EventTypes.Member,
+        state_key=ALICE,
+        content=MEMBERSHIP_CONTENT_JOIN,
+    ),
+    FakeEvent(
+        id="IPOWER",
+        sender=ALICE,
+        type=EventTypes.PowerLevels,
+        state_key="",
+        content={"users": {ALICE: 100}},
+    ),
+    FakeEvent(
+        id="IJR",
+        sender=ALICE,
+        type=EventTypes.JoinRules,
+        state_key="",
+        content={"join_rule": JoinRules.PUBLIC},
+    ),
+    FakeEvent(
+        id="IMB",
+        sender=BOB,
+        type=EventTypes.Member,
+        state_key=BOB,
+        content=MEMBERSHIP_CONTENT_JOIN,
+    ),
+    FakeEvent(
+        id="IMC",
+        sender=CHARLIE,
+        type=EventTypes.Member,
+        state_key=CHARLIE,
+        content=MEMBERSHIP_CONTENT_JOIN,
+    ),
+    FakeEvent(
+        id="IMZ",
+        sender=ZARA,
+        type=EventTypes.Member,
+        state_key=ZARA,
+        content=MEMBERSHIP_CONTENT_JOIN,
+    ),
+    FakeEvent(
+        id="START",
+        sender=ZARA,
+        type=EventTypes.Message,
+        state_key=None,
+        content={},
+    ),
+    FakeEvent(
+        id="END",
+        sender=ZARA,
+        type=EventTypes.Message,
+        state_key=None,
+        content={},
+    ),
+]
+
+INITIAL_EDGES = [
+    "START", "IMZ", "IMC", "IMB", "IJR", "IPOWER", "IMA", "CREATE",
+]
+
+
+class StateTestCase(unittest.TestCase):
+    def test_ban_vs_pl(self):
+        events = [
+            FakeEvent(
+                id="PA",
+                sender=ALICE,
+                type=EventTypes.PowerLevels,
+                state_key="",
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    }
+                },
+            ),
+            FakeEvent(
+                id="MA",
+                sender=ALICE,
+                type=EventTypes.Member,
+                state_key=ALICE,
+                content={"membership": Membership.JOIN},
+            ),
+            FakeEvent(
+                id="MB",
+                sender=ALICE,
+                type=EventTypes.Member,
+                state_key=BOB,
+                content={"membership": Membership.BAN},
+            ),
+            FakeEvent(
+                id="PB",
+                sender=BOB,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    },
+                },
+            ),
+        ]
+
+        edges = [
+            ["END", "MB", "MA", "PA", "START"],
+            ["END", "PB", "PA"],
+        ]
+
+        expected_state_ids = ["PA", "MA", "MB"]
+
+        self.do_check(events, edges, expected_state_ids)
+
+    def test_join_rule_evasion(self):
+        events = [
+            FakeEvent(
+                id="JR",
+                sender=ALICE,
+                type=EventTypes.JoinRules,
+                state_key="",
+                content={"join_rules": JoinRules.PRIVATE},
+            ),
+            FakeEvent(
+                id="ME",
+                sender=EVELYN,
+                type=EventTypes.Member,
+                state_key=EVELYN,
+                content={"membership": Membership.JOIN},
+            ),
+        ]
+
+        edges = [
+            ["END", "JR", "START"],
+            ["END", "ME", "START"],
+        ]
+
+        expected_state_ids = ["JR"]
+
+        self.do_check(events, edges, expected_state_ids)
+
+    def test_offtopic_pl(self):
+        events = [
+            FakeEvent(
+                id="PA",
+                sender=ALICE,
+                type=EventTypes.PowerLevels,
+                state_key="",
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    }
+                },
+            ),
+            FakeEvent(
+                id="PB",
+                sender=BOB,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                        CHARLIE: 50,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="PC",
+                sender=CHARLIE,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                        CHARLIE: 0,
+                    },
+                },
+            ),
+        ]
+
+        edges = [
+            ["END", "PC", "PB", "PA", "START"],
+            ["END", "PA"],
+        ]
+
+        expected_state_ids = ["PC"]
+
+        self.do_check(events, edges, expected_state_ids)
+
+    def test_topic_basic(self):
+        events = [
+            FakeEvent(
+                id="T1",
+                sender=ALICE,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+            FakeEvent(
+                id="PA1",
+                sender=ALICE,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="T2",
+                sender=ALICE,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+            FakeEvent(
+                id="PA2",
+                sender=ALICE,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 0,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="PB",
+                sender=BOB,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="T3",
+                sender=BOB,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+        ]
+
+        edges = [
+            ["END", "PA2", "T2", "PA1", "T1", "START"],
+            ["END", "T3", "PB", "PA1"],
+        ]
+
+        expected_state_ids = ["PA2", "T2"]
+
+        self.do_check(events, edges, expected_state_ids)
+
+    def test_topic_reset(self):
+        events = [
+            FakeEvent(
+                id="T1",
+                sender=ALICE,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+            FakeEvent(
+                id="PA",
+                sender=ALICE,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="T2",
+                sender=BOB,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+            FakeEvent(
+                id="MB",
+                sender=ALICE,
+                type=EventTypes.Member,
+                state_key=BOB,
+                content={"membership": Membership.BAN},
+            ),
+        ]
+
+        edges = [
+            ["END", "MB", "T2", "PA", "T1", "START"],
+            ["END", "T1"],
+        ]
+
+        expected_state_ids = ["T1", "MB", "PA"]
+
+        self.do_check(events, edges, expected_state_ids)
+
+    def test_topic(self):
+        events = [
+            FakeEvent(
+                id="T1",
+                sender=ALICE,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+            FakeEvent(
+                id="PA1",
+                sender=ALICE,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="T2",
+                sender=ALICE,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+            FakeEvent(
+                id="PA2",
+                sender=ALICE,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 0,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="PB",
+                sender=BOB,
+                type=EventTypes.PowerLevels,
+                state_key='',
+                content={
+                    "users": {
+                        ALICE: 100,
+                        BOB: 50,
+                    },
+                },
+            ),
+            FakeEvent(
+                id="T3",
+                sender=BOB,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+            FakeEvent(
+                id="MZ1",
+                sender=ZARA,
+                type=EventTypes.Message,
+                state_key=None,
+                content={},
+            ),
+            FakeEvent(
+                id="T4",
+                sender=ALICE,
+                type=EventTypes.Topic,
+                state_key="",
+                content={},
+            ),
+        ]
+
+        edges = [
+            ["END", "T4", "MZ1", "PA2", "T2", "PA1", "T1", "START"],
+            ["END", "MZ1", "T3", "PB", "PA1"],
+        ]
+
+        expected_state_ids = ["T4", "PA2"]
+
+        self.do_check(events, edges, expected_state_ids)
+
+    def do_check(self, events, edges, expected_state_ids):
+        """Take a list of events and edges and calculate the state of the
+        graph at END, and asserts it matches `expected_state_ids`
+
+        Args:
+            events (list[FakeEvent])
+            edges (list[list[str]]): A list of chains of event edges, e.g.
+                `[[A, B, C]]` are edges A->B and B->C.
+            expected_state_ids (list[str]): The expected state at END, (excluding
+                the keys that haven't changed since START).
+        """
+        # We want to sort the events into topological order for processing.
+        graph = {}
+
+        # node_id -> FakeEvent
+        fake_event_map = {}
+
+        for ev in itertools.chain(INITIAL_EVENTS, events):
+            graph[ev.node_id] = set()
+            fake_event_map[ev.node_id] = ev
+
+        for a, b in pairwise(INITIAL_EDGES):
+            graph[a].add(b)
+
+        for edge_list in edges:
+            for a, b in pairwise(edge_list):
+                graph[a].add(b)
+
+        # event_id -> FrozenEvent
+        event_map = {}
+        # node_id -> state
+        state_at_event = {}
+
+        # We copy the map as the sort consumes the graph
+        graph_copy = {k: set(v) for k, v in graph.items()}
+
+        for node_id in lexicographical_topological_sort(graph_copy, key=lambda e: e):
+            fake_event = fake_event_map[node_id]
+            event_id = fake_event.event_id
+
+            prev_events = list(graph[node_id])
+
+            if len(prev_events) == 0:
+                state_before = {}
+            elif len(prev_events) == 1:
+                state_before = dict(state_at_event[prev_events[0]])
+            else:
+                state_d = resolve_events_with_store(
+                    [state_at_event[n] for n in prev_events],
+                    event_map=event_map,
+                    state_res_store=TestStateResolutionStore(event_map),
+                )
+
+                self.assertTrue(state_d.called)
+                state_before = state_d.result
+
+            state_after = dict(state_before)
+            if fake_event.state_key is not None:
+                state_after[(fake_event.type, fake_event.state_key)] = event_id
+
+            auth_types = set(auth_types_for_event(fake_event))
+
+            auth_events = []
+            for key in auth_types:
+                if key in state_before:
+                    auth_events.append(state_before[key])
+
+            event = fake_event.to_event(auth_events, prev_events)
+
+            state_at_event[node_id] = state_after
+            event_map[event_id] = event
+
+        expected_state = {}
+        for node_id in expected_state_ids:
+            # expected_state_ids are node IDs rather than event IDs,
+            # so we have to convert
+            event_id = EventID(node_id, "example.com").to_string()
+            event = event_map[event_id]
+
+            key = (event.type, event.state_key)
+
+            expected_state[key] = event_id
+
+        start_state = state_at_event["START"]
+        end_state = {
+            key: value
+            for key, value in state_at_event["END"].items()
+            if key in expected_state or start_state.get(key) != value
+        }
+
+        self.assertEqual(expected_state, end_state)
+
+
+class LexicographicalTestCase(unittest.TestCase):
+    def test_simple(self):
+        graph = {
+            "l": {"o"},
+            "m": {"n", "o"},
+            "n": {"o"},
+            "o": set(),
+            "p": {"o"},
+        }
+
+        res = list(lexicographical_topological_sort(graph, key=lambda x: x))
+
+        self.assertEqual(["o", "l", "n", "m", "p"], res)
+
+
+def pairwise(iterable):
+    "s -> (s0,s1), (s1,s2), (s2, s3), ..."
+    a, b = itertools.tee(iterable)
+    next(b, None)
+    return zip(a, b)
+
+
+@attr.s
+class TestStateResolutionStore(object):
+    event_map = attr.ib()
+
+    def get_events(self, event_ids, allow_rejected=False):
+        """Get events from the database
+
+        Args:
+            event_ids (list): The event_ids of the events to fetch
+            allow_rejected (bool): If True return rejected events.
+
+        Returns:
+            Deferred[dict[str, FrozenEvent]]: Dict from event_id to event.
+        """
+
+        return {
+            eid: self.event_map[eid]
+            for eid in event_ids
+            if eid in self.event_map
+        }
+
+    def get_auth_chain(self, event_ids):
+        """Gets the full auth chain for a set of events (including rejected
+        events).
+
+        Includes the given event IDs in the result.
+
+        Note that:
+            1. All events must be state events.
+            2. For v1 rooms this may not have the full auth chain in the
+               presence of rejected events
+
+        Args:
+            event_ids (list): The event IDs of the events to fetch the auth
+                chain for. Must be state events.
+
+        Returns:
+            Deferred[list[str]]: List of event IDs of the auth chain.
+        """
+
+        # Simple DFS for auth chain
+        result = set()
+        stack = list(event_ids)
+        while stack:
+            event_id = stack.pop()
+            if event_id in result:
+                continue
+
+            result.add(event_id)
+
+            event = self.event_map[event_id]
+            for aid, _ in event.auth_events:
+                stack.append(aid)
+
+        return list(result)