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Re: Possibly Pythonic Tail Call Optimization (TCO/TRE)

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From Terry Reedy <tjreedy@udel.edu>
Subject Re: Possibly Pythonic Tail Call Optimization (TCO/TRE)
Date Tue, 14 Jul 2015 20:23:27 -0400
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On 7/14/2015 1:15 AM, Paul Rubin wrote:

>    def quicksort(array, start, end):
>       midp = partition(array, start, end)
>       if midp <= (start+end)//2:
>          quicksort(array, start, midp)
>          quicksort(array, midp+1, end)
>       else:
>          quicksort(array, midp+1, end)
>          quicksort(array, start, midp)
>
> I assume you know how quicksort and its partition step work.  The idea
> is you partition the array around the pivot element (midp is the index
> of that element), then recursively sort the two partitions, doing the
> smaller partition as a recursive call and the larger one as a tail call,
> so that you use O(log n) stack depth instead of potentially O(n).

Thank you for the example.  It I have ever seen how to minimize the max 
stack needed for first calls, I have forgotten.  First some comment:
1. There is no terminal condition, so the above will loop forever. The 
body should start with 'if not terminal(start, end):' where terminal is 
the actual expression.  I did not write it because it depends on whether 
'end' is the highest index or one past it.
2. There are no tail calls (call followed by return), so a tail-call 
optimizer will not optimize this.  A recur() function might be able to.
3. Mutation is anathema to functional programming, so a functional 
programmer would never write and version of this, at least not without 
holding his nose.

The tail-like calls in each branch can be avoided with assignment and 
gobacks.  In Python, we go-back with while loops. (IE, 'while' = 'label' 
+ 'if' + 'goto'.)  With minimal change to the above, we get (untested)

def quicksort(array, start, end):
     while not terminal(start, end):
         midp = partition(array, start, end)
         if midp <= (start+end) // 2:
             quicksort(array, start, midp)
             start = midp+1
         else:
             quicksort(array, midp+1, end)
             end = midp

I can understand that someone might prefer to break the symmetry of the 
paired calls by wrapping the second with recur() (assuming that such a 
function is sensibly feasible on *all* implementations).  In the other 
hand, I prefer the reduced-noise explicit assignment that highlights the 
one parameter that gets rebound.

-- 
Terry Jan Reedy

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Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-14 00:05 +1000
  Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Steven D'Aprano <steve@pearwood.info> - 2015-07-14 13:20 +1000
    Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-14 09:26 +0200
    Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ian Kelly <ian.g.kelly@gmail.com> - 2015-07-14 02:34 -0600
      Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Grant Edwards <invalid@invalid.invalid> - 2015-07-14 14:03 +0000
    Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-14 12:43 +0200
  Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Paul Rubin <no.email@nospam.invalid> - 2015-07-13 22:15 -0700
    Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-14 15:25 +1000
      Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Paul Rubin <no.email@nospam.invalid> - 2015-07-13 22:41 -0700
        Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-14 21:43 +1000
          Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 15:28 +0300
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-14 22:55 +1000
              Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 16:38 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-14 23:43 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 20:29 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Steven D'Aprano <steve@pearwood.info> - 2015-07-15 03:48 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-15 10:28 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-14 16:02 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-15 00:07 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 20:31 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Terry Reedy <tjreedy@udel.edu> - 2015-07-14 20:41 -0400
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-15 11:10 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-16 10:43 +1200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 09:31 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-17 10:41 +1200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-16 21:45 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 15:56 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 00:00 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-16 16:32 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 02:43 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Joonas Liik <liik.joonas@gmail.com> - 2015-07-16 19:50 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 03:03 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ethan Furman <ethan@stoneleaf.us> - 2015-07-16 10:04 -0700
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Joonas Liik <liik.joonas@gmail.com> - 2015-07-16 20:34 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Steven D'Aprano <steve@pearwood.info> - 2015-07-17 04:58 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Joonas Liik <liik.joonas@gmail.com> - 2015-07-16 22:14 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-17 11:41 +1200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ethan Furman <ethan@stoneleaf.us> - 2015-07-16 12:52 -0700
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 03:49 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Joonas Liik <liik.joonas@gmail.com> - 2015-07-16 21:23 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 04:29 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Terry Reedy <tjreedy@udel.edu> - 2015-07-16 16:19 -0400
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-17 12:48 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-19 10:57 +1200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 21:05 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-17 13:43 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 21:49 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-17 14:54 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-17 23:12 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Terry Reedy <tjreedy@udel.edu> - 2015-07-17 16:27 -0400
          Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-15 21:13 +1200
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-15 12:55 +0300
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-07-15 12:22 +0100
              Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-16 10:34 +1200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-07-16 00:34 +0100
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) MRAB <python@mrabarnett.plus.com> - 2015-07-15 13:00 +0100
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-15 22:13 +1000
              Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-16 10:34 +1200
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-15 22:22 +1000
      Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 08:41 +0300
        Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-14 21:33 +1000
          Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 15:08 +0300
    Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-14 15:31 +1000
    Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ian Kelly <ian.g.kelly@gmail.com> - 2015-07-13 23:46 -0600
      Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 08:57 +0300
        Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-14 18:29 +1200
          Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 10:05 +0300
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Gregory Ewing <greg.ewing@canterbury.ac.nz> - 2015-07-15 17:52 +1200
              Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-15 09:44 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ned Batchelder <ned@nedbatchelder.com> - 2015-07-15 03:45 -0700
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-15 13:55 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Antoon Pardon <antoon.pardon@rece.vub.ac.be> - 2015-07-15 13:04 +0200
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ned Batchelder <ned@nedbatchelder.com> - 2015-07-15 04:12 -0700
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-15 14:24 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Rustom Mody <rustompmody@gmail.com> - 2015-07-16 21:28 -0700
          Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Mark Lawrence <breamoreboy@yahoo.co.uk> - 2015-07-14 08:47 +0100
        Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ian Kelly <ian.g.kelly@gmail.com> - 2015-07-14 02:13 -0600
          Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 11:33 +0300
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ian Kelly <ian.g.kelly@gmail.com> - 2015-07-14 07:15 -0600
              Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 20:27 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Ian Kelly <ian.g.kelly@gmail.com> - 2015-07-15 08:28 -0600
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-15 17:55 +0300
            Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Steven D'Aprano <steve@pearwood.info> - 2015-07-15 03:34 +1000
              Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 20:43 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-15 03:52 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Steven D'Aprano <steve@pearwood.info> - 2015-07-15 04:06 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 21:37 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-15 04:55 +1000
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Marko Rauhamaa <marko@pacujo.net> - 2015-07-14 22:12 +0300
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Terry Reedy <tjreedy@udel.edu> - 2015-07-14 21:36 -0400
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Terry Reedy <tjreedy@udel.edu> - 2015-07-14 21:01 -0400
                Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Chris Angelico <rosuav@gmail.com> - 2015-07-15 13:05 +1000
              Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Paul Rubin <no.email@nospam.invalid> - 2015-07-14 10:54 -0700
    Re: Possibly Pythonic Tail Call Optimization (TCO/TRE) Terry Reedy <tjreedy@udel.edu> - 2015-07-14 20:23 -0400

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