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After compiling the stdlib with Cython with the attached script, modules that use circular imports fail to initialise. That includes os and posixpath, as well as shutil and tarfile. Example:
$ ./python -c 'import shutil'
Traceback (most recent call last):
 File "<string>", line 1, in <module>
 File "tarfile.py", line 44, in init tarfile (tarfile.c:44135)
 import shutil
 File "shutil.py", line 14, in init shutil (shutil.c:22497)
 import tarfile
 File "<frozen importlib._bootstrap>", line 1556, in _find_and_load
RuntimeError: maximum recursion depth exceeded
I've tried this with the latest CPython 3.4 hg version, but I'm pretty sure it fails in Py3.3 as well.