diff --git a/tests/federation/test_complexity.py b/tests/federation/test_complexity.py
new file mode 100644
index 0000000000..1e3e5aec66
--- /dev/null
+++ b/tests/federation/test_complexity.py
@@ -0,0 +1,90 @@
+# -*- coding: utf-8 -*-
+# Copyright 2019 Matrix.org Foundation
+#
+# 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.
+
+from twisted.internet import defer
+
+from synapse.config.ratelimiting import FederationRateLimitConfig
+from synapse.federation.transport import server
+from synapse.rest import admin
+from synapse.rest.client.v1 import login, room
+from synapse.util.ratelimitutils import FederationRateLimiter
+
+from tests import unittest
+
+
+class RoomComplexityTests(unittest.HomeserverTestCase):
+
+ servlets = [
+ admin.register_servlets,
+ room.register_servlets,
+ login.register_servlets,
+ ]
+
+ def default_config(self, name='test'):
+ config = super(RoomComplexityTests, self).default_config(name=name)
+ config["limit_large_remote_room_joins"] = True
+ config["limit_large_remote_room_complexity"] = 0.05
+ return config
+
+ def prepare(self, reactor, clock, homeserver):
+ class Authenticator(object):
+ def authenticate_request(self, request, content):
+ return defer.succeed("otherserver.nottld")
+
+ ratelimiter = FederationRateLimiter(
+ clock,
+ FederationRateLimitConfig(
+ window_size=1,
+ sleep_limit=1,
+ sleep_msec=1,
+ reject_limit=1000,
+ concurrent_requests=1000,
+ ),
+ )
+ server.register_servlets(
+ homeserver, self.resource, Authenticator(), ratelimiter
+ )
+
+ def test_complexity_simple(self):
+
+ u1 = self.register_user("u1", "pass")
+ u1_token = self.login("u1", "pass")
+
+ room_1 = self.helper.create_room_as(u1, tok=u1_token)
+ self.helper.send_state(
+ room_1, event_type="m.room.topic", body={"topic": "foo"}, tok=u1_token
+ )
+
+ # Get the room complexity
+ request, channel = self.make_request(
+ "GET", "/_matrix/federation/unstable/rooms/%s/complexity" % (room_1,)
+ )
+ self.render(request)
+ self.assertEquals(200, channel.code)
+ complexity = channel.json_body["v1"]
+ self.assertTrue(complexity > 0, complexity)
+
+ # Artificially raise the complexity
+ store = self.hs.get_datastore()
+ store.get_current_state_event_counts = lambda x: defer.succeed(500 * 1.23)
+
+ # Get the room complexity again -- make sure it's our artificial value
+ request, channel = self.make_request(
+ "GET", "/_matrix/federation/unstable/rooms/%s/complexity" % (room_1,)
+ )
+ self.render(request)
+ self.assertEquals(200, channel.code)
+ complexity = channel.json_body["v1"]
+ self.assertEqual(complexity, 1.23)
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