Proposed patch adds private function _PySys_GetSizeOf(). It is needed for correct implementing of __sizeof__() methods: issue15490, issue15513, issue15381 (BytesIO.__sizeof__ is broken in 3.5). See discussion about it in issue15490. I extracted this patch in separate issue for its simplicity and because it is needed in other issues.

LGTM

New changeset b5114747d3ed by Serhiy Storchaka in branch '2.7':
Issue #22193: Added private function _PySys_GetSizeOf() needed to implement
http://hg.python.org/cpython/rev/b5114747d3ed

New changeset 46504edf7594 by Serhiy Storchaka in branch '3.4':
Issue #22193: Added private function _PySys_GetSizeOf() needed to implement
http://hg.python.org/cpython/rev/46504edf7594

New changeset e23999892e58 by Serhiy Storchaka in branch 'default':
Issue #22193: Added private function _PySys_GetSizeOf() needed to implement
http://hg.python.org/cpython/rev/e23999892e58

Thanks Martin.

The code is missing an overflow check. There should be some verification that __sizeof__ returns a value smaller than SIZE_T_MAX - 24. Also 24 for GC overhead looks strange. IMHO it should be sizeof(PyGC_Head) which can be smaller than 24 bytes.

Python 3.5.0a0 (default:601045ceff94, Aug 14 2014, 22:59:49) 
[GCC 4.8.2] on linux
Type "help", "copyright", "credits" or "license" for more information.
>>> class Overflow:
...     def __sizeof__(self):
...         return (1<<64)-1
... 
>>> sys.getsizeof(Overflow())
23

This was discussed in issue15490. Such implementation is just incorrect, because we cannot allocate such much memory.

Here is a patch which adds overflow check. The question is: should sys.getsizeof with the default argument catch OverflowError in additional to TypeError and replace it by default value?

Christian: I don't see why 24 bytes overhead sounds strange. GC_Head is

typedef union _gc_head {
    struct {
        union _gc_head *gc_next;
        union _gc_head *gc_prev;
        Py_ssize_t gc_refs;
    } gc;
    double dummy;  /* force worst-case alignment */
} PyGC_Head;

which happens to be 3*8=24 bytes on a 64-bit system.

Revision b5114747d3ed added useless '#ifndef Py_LIMITED_API' check in 2.7 branch.
Support for Py_LIMITED_API was introduced in Python 3.2.

Fixed in changeset 2e417d9a2b1c. Thank you Arfrever.

Here is alternative patch. May be it looks more clear for you.

New changeset 3537994fa43b by Serhiy Storchaka in branch '2.7':
Issue #22193: Fixed integer overflow error in sys.getsizeof().
https://hg.python.org/cpython/rev/3537994fa43b

New changeset df5c6b05238e by Serhiy Storchaka in branch '3.4':
Issue #22193: Fixed integer overflow error in sys.getsizeof().
https://hg.python.org/cpython/rev/df5c6b05238e

New changeset b7651f9be4a1 by Serhiy Storchaka in branch 'default':
Issue #22193: Fixed integer overflow error in sys.getsizeof().
https://hg.python.org/cpython/rev/b7651f9be4a1

Also fixed an error in _PySys_GetSizeOf declaration (thanks yomgui1). Thanks all for reviews and found bugs.