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According to https://wiki.python.org/moin/HowTo/Sorting/#Sort_Stability_and_Complex_Sorts and Alex Martelli: http://stackoverflow.com/q/1915376/509706, Python's sorted() is stable. It would be great to update the docs for sorted() to state this.

I agree: The docs for list.sort() do guarantee the stability, so sorted() should have the same indication.

It looks like a fork of that how-to is actually part of the documentation: <https://docs.python.org/release/3.4.0/howto/sorting.html>. Perhaps the two should be linked better.
If "sorted" is indeed meant to be stable, that makes the docstring for the "heapsort" function <https://docs.python.org/release/3.4.0/library/heapq.html#basic-examples> invalid. That function is not stable, for example: heapsort((0, 0, False, 0)) -> [0, False, 0, 0].
Also, the how-to implicitly guarantees that only less-than (__lt__) is required for comparison. This is already documented for "list.sort", but it might be good to add that guarantee to the "sorted" reference. Maybe also clarify if it applies (or not) to other sorting and comparison routines (e.g. heapq, bisect, min, max), though maybe that is straying off scope for this bug.

I'll update the docs for sorted().

For this issue, I have read the source code of "sorted" and "list.sort" to be sure they use the same algorithm (not sure). But in the builtin_sorted function, I read PyId_sort, but when I grep the code, I don't find it. Where can I find the reference of this function?
Thank you.

PyId_sort is not a function, it's a somewhat complicated way of getting a Python string "sort" (in this case, for looking up a method using PyObject_GetAttrId). The string object is cached, with is faster than constructing one every time with PyObject_GetAttrString.

> when I grep the code, I don't find it
The non-greppability is due to preprocessor evil. The culprit is this macro from Include/object.h:
 #define _Py_IDENTIFIER(varname) _Py_static_string(PyId_##varname, #varname)
along with the declaration
 _Py_IDENTIFIER(sort);
earlier in bltinmodule.c.

Hi Mark,
Without your explanation, I was really lost.
Thank you.

My patch for the documentation of Python 3.5, just need a small feedback.
If you agree with this patch, I will provide the same patch for 2.7 and 3.4
Thank you

ping.

The new text seems reasonable to me on its own, however I still think the heapsort() docstring needs updating as well

New changeset d44f7d229e00 by Ezio Melotti in branch '2.7':
#22237: document that sorted() is guaranteed to be stable. Initial patch by Martin Panter.
https://hg.python.org/cpython/rev/d44f7d229e00
New changeset 5dd4906daa62 by Ezio Melotti in branch '3.4':
#22237: document that sorted() is guaranteed to be stable. Initial patch by Martin Panter.
https://hg.python.org/cpython/rev/5dd4906daa62
New changeset b01568e2597e by Ezio Melotti in branch 'default':
#22237: merge with 3.4.
https://hg.python.org/cpython/rev/b01568e2597e 

Fixed, thanks for the patch!

New changeset af8f678a4a75 by Ezio Melotti in branch '2.7':
#22237: fix patch attribution.
https://hg.python.org/cpython/rev/af8f678a4a75
New changeset 2f697bcc8f86 by Ezio Melotti in branch '3.4':
#22237: fix patch attribution.
https://hg.python.org/cpython/rev/2f697bcc8f86
New changeset 7e870ddd1989 by Ezio Melotti in branch 'default':
#22237: merge patch attribution fix.
https://hg.python.org/cpython/rev/7e870ddd1989