PyIter_Check is itself marked as available in the Limited API but:

a) it's a macro, and
b) it pokes directly at tp_iternext

This means that it's functionally impossible to use PyIter_Check
when working with the Limited API.

See for example the following C program:

```
#define Py_LIMITED_API

#include "Python.h"

int main() {
  Py_Initialize();
  PyObject* foo;
  PyIter_Check(foo);
}
```

when compiled (gcc test.c `pkg-config --cflags python3`) produces:

```
In file included from /usr/include/python3.6m/Python.h:135:0,
                 from test.c:3:
test.c: In function ‘main’:
/usr/include/python3.6m/abstract.h:712:20: error: dereferencing pointer to incomplete type ‘struct _typeobject’
     ((obj)->ob_type->tp_iternext != NULL && \
                    ^
test.c:8:3: note: in expansion of macro ‘PyIter_Check’
   PyIter_Check(foo);
   ^~~~~~~~~~~~
/usr/include/python3.6m/abstract.h:713:38: error: ‘_PyObject_NextNotImplemented’ undeclared (first use in this function); did you mean ‘PyObject_HashNotImplemented’?
      (obj)->ob_type->tp_iternext != &_PyObject_NextNotImplemented)
                                      ^
test.c:8:3: note: in expansion of macro ‘PyIter_Check’
   PyIter_Check(foo);
   ^~~~~~~~~~~~
/usr/include/python3.6m/abstract.h:713:38: note: each undeclared identifier is reported only once for each function it appears in
      (obj)->ob_type->tp_iternext != &_PyObject_NextNotImplemented)
                                      ^
test.c:8:3: note: in expansion of macro ‘PyIter_Check’
   PyIter_Check(foo);
   ^~~~~~~~~~~~
```

It should be replaced with an actual function, which can be inline in the non-limited case.

Oh, it looks like this has been done: https://github.com/python/cpython/commit/ea62ce7f4fefc66bc0adba16bcd7666d5bbd5b44

Although I am not sure what version this made it into. So maybe this does not affect versions 3.9/3.10. I've seen it in 3.6/6, for sure.

You can see it from the tags on the commit, it was fixed in Py3.8.

Duplicate of issue 33738.