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GeneratorWrapper helps, but it fails when applied to non-generator functions that return a value (while both tornado.gen.coroutine and asyncio.coroutine take pains to support such usage). The "raise TypeError" should be removed; just return the result without wrapping if it's not a generator. 
GeneratorWrapper also runs afoul of some places where I do explicit type checking instead of duck typing (isinstance(x, types.GeneratorType)). Using the Generator ABC doesn't work because the generator methods are set as attributes on __init__ instead of defined on the class. The methods should be defined on the class, even if they're overwritten with instance attributes later for speed. (related: inspect.iscoroutine is defined in terms of collections.abc.Coroutine. Should inspect.isgenerator be redefined to use the new collections.abc.Generator?)