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Argument Clinic generates wrong signature for module level functions.
For example for the following declaration
/*[clinic input]
binascii.a2b_uu
 ascii: ascii_buffer
 /
Decode a line of uuencoded data.
[clinic start generated code]*/
Argument Clinic generates
PyDoc_STRVAR(binascii_a2b_uu__doc__,
"a2b_uu(module, ascii)\n"
"Decode a line of uuencoded data.");

That's by design (of #20189); inspect.Signature.from_builtin strips out the 'module' param.

What if function already has the "module" parameter? E.g. _warnings.warn_explicit.

Ahh, that is a good point, though the real problem with that is in compilation rather than the Python signature. I believe there's a fix in the works, somewhere in Larry's to-do list. _winapi also has a function that takes a 'module' parameter, though being undocumented (and referring to a handle, not a Python module), I was able to just name that one 'module_handle'.

If you use a self converter you can name your first parameter anything you like.

So, are you still claiming there's a bug here? Or can we close this?

Well, if originally reported behavior is by design, and there is other open issue for the "module" parameter, we can close this.