What are __signature__ and __text_signature__ used

If one does dir() on some builtin callables (class constructors, methods, etc) on CPython 3.4, one finds out that many of them often have a special attribute called __text_signature__, for example:

>>> print(object.__text_signature__)
()
>>> print(int.__text_signature__)
None

However the documentation for this is nonexistent. Furthermore, googling for the attribute name suggests that there is also another possible special attribute __signature__, though I did not find any built-in functions that would have it.

I do know they are related to the function argument signature, but nothing beyond that, what do their values signify and what is the use of them?

These attributes are there to enable introspection for Python objects defined in C code. The C-API Argument Clinic provides the data, to assist the inspect module when building Signature objects. Introspection of C-API functions was not supported before.

See the internal inspect._signature_fromstr() function on how the __text_signature__ value is used.

Currently, the __text_signature__ attribute is filled from the internal docstring set on objects in the C-API; a simple text search is done for objectname(...)\n--\n\n, where the \n--\n\n is typical of Attribute Clinic-generated documentation strings. Take a look at the type object slots if you wanted to find some examples. Or you could look at the audioop module source to see how the Argument Clinic is being used to define signatures; the Argument Clinic script is run on those when building to generate the docstrings (in the accompanying audioop.c.h file).

The __signature__ attribute, if present, would be a inspect.Signature() object; instead of providing a text version a C-API can provide a fully parsed Signature instance instead.