tests: add tests for the selection of SI modes

tests/rptest/tests/topic_creation_test.py

@@ -210,6 +210,50 @@ def test_create_topic_with_single_configuration_property(self):
             cfgs = rpk.describe_topic_configs(topic=name)
             assert str(cfgs[p][0]) == str(property_value)
 
+    @cluster(num_nodes=3)
+    @matrix(cloud_storage_enable_remote_read=[True, False],
+            cloud_storage_enable_remote_write=[True, False],
+            topic_remote_read=[True, False, None],
+            topic_remote_write=[True, False, None])
+    def test_shadow_indexing_mode(self, cloud_storage_enable_remote_read,
+                                  cloud_storage_enable_remote_write,
+                                  topic_remote_read, topic_remote_write):
+        to_bool = lambda x: True if x == "true" else False
+        from_bool = lambda x: "true" if x else "false"
+
+        rpk = RpkTool(self.redpanda)
+
+        expected_read = topic_remote_read if topic_remote_read is not None \
+                        else cloud_storage_enable_remote_read
+        expected_write = topic_remote_write if topic_remote_write is not None \
+                         else cloud_storage_enable_remote_write
+
+        self.redpanda.set_cluster_config(
+            {
+                "cloud_storage_enable_remote_read":
+                cloud_storage_enable_remote_read,
+                "cloud_storage_enable_remote_write":
+                cloud_storage_enable_remote_write
+            },
+            expect_restart=True)
+
+        config = {}
+        if topic_remote_read is not None:
+            config["redpanda.remote.read"] = from_bool(topic_remote_read)
+        if topic_remote_write is not None:
+            config["redpanda.remote.write"] = from_bool(topic_remote_write)
+
+        topic = self._topic_name()
+        rpk.create_topic(topic=topic, partitions=1, replicas=3, config=config)
+
+        ret = rpk.describe_topic_configs(topic=topic)
+
+
+        read = to_bool(ret["redpanda.remote.read"][0])
+        write = to_bool(ret["redpanda.remote.write"][0])
+        assert read == expected_read, f"{read} != {expected_read}"
+        assert write == expected_write, f"{write} != {expected_write}"
+
 
 # When quickly recreating topics after deleting them, redpanda's topic
 # dir creation can trip up over the topic dir deletion.  This is not