bpo-39386: Prevent double awaiting of async iterator (GH-18081)

(cherry picked from commit a96e06db77dcbd3433d39761ddb4615d7d96284a)

Co-authored-by: Andrew Svetlov <andrew.svetlov@gmail.com>
diff --git a/Lib/test/test_asyncgen.py b/Lib/test/test_asyncgen.py
index 58d8aee..24b20be 100644
--- a/Lib/test/test_asyncgen.py
+++ b/Lib/test/test_asyncgen.py
@@ -1128,6 +1128,42 @@
 
         self.assertEqual([], messages)
 
+    def test_async_gen_await_anext_twice(self):
+        async def async_iterate():
+            yield 1
+            yield 2
+
+        async def run():
+            it = async_iterate()
+            nxt = it.__anext__()
+            await nxt
+            with self.assertRaisesRegex(
+                    RuntimeError,
+                    r"cannot reuse already awaited __anext__\(\)/asend\(\)"
+            ):
+                await nxt
+
+            await it.aclose()  # prevent unfinished iterator warning
+
+        self.loop.run_until_complete(run())
+
+    def test_async_gen_await_aclose_twice(self):
+        async def async_iterate():
+            yield 1
+            yield 2
+
+        async def run():
+            it = async_iterate()
+            nxt = it.aclose()
+            await nxt
+            with self.assertRaisesRegex(
+                    RuntimeError,
+                    r"cannot reuse already awaited aclose\(\)/athrow\(\)"
+            ):
+                await nxt
+
+        self.loop.run_until_complete(run())
+
 
 if __name__ == "__main__":
     unittest.main()