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Re: Arithmetic overflow checking

From Eric Sosman <esosman@ieee-dot-org.invalid>
Newsgroups comp.lang.java.programmer
Subject Re: Arithmetic overflow checking
Date 2011-07-07 07:54 -0400
Organization A noiseless patient Spider
Message-ID <iv46rb$8vg$1@dont-email.me> (permalink)
References <015aeb15-57db-48ab-9cd4-77f8448b632f@w24g2000yqw.googlegroups.com> <MPG.287ee3d2698d83599896a9@202.177.16.121> <alpine.DEB.2.00.1107062203220.27388@urchin.earth.li> <343576af-d714-462c-b96f-688bc6dfb0e2@e21g2000vbz.googlegroups.com>

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On 7/7/2011 3:30 AM, rop rop wrote:
> On Jul 6, 11:32 pm, Tom Anderson<t...@urchin.earth.li>  wrote:
>> Modding the JVM is a non-starter for a few reasons...
>
> Hi Tom,
> Thanks for input.
> Could you just elaborate on this, please... what is the main-problem
> with actually patching the JVM?
> Why is it so hard?
> Without having looked into the source-code, this seems like the most
> straight-forward and robust way to do it...
> Is the code so hard to penetrate or what?

     The first thing that comes to mind is altering a JVM so it does
not behave as described in the Java Virtual Machine Specification
means you no longer have a JVM.  Specifically, from section 2.4.2:
"The built-in integer operators do not indicate (positive or negative)
overflow in any way; they wrap around on overflow."  For good or for
ill, that's a requirement all JVM implementations must satisfy.

     But, okay, you start with a JVM and alter it to produce a "KWN"
that behaves just like a JVM except in this one regard.  Now a second
difficulty arises: You start running Java on the KWN, and almost at
once you get an arithmetic overflow exception.  Investigating, you
find that it occurred in a hashCode() method that's computing the
time-honored sum x0+p*(x1+p*(x2+...)) with the fields x0,x1,... and
a prime p.  The overflow is entirely benign, yet "Hello".hashCode()
stops your program in its tracks.  So now you need a way to distinguish
expected (benign) overflow from unanticipated (injurious) overflow --
which means you need to alter not only the JVM but also Java.  (Or maybe
you could do something with annotations; I'm not sure.)  But the main
point is that all existing Java code expects overflow to wrap around,
and lots of that code actually relies on wraparound.

     Finally, you've got definitional problems to sort out.  For
example, is there an overflow in `int value = (int)Long.LONG_MAX;'?
You need to put on your Language Legislator hat and think about it
before you can decide how your KWN should behave.

     Personally, I wish integer over- and under-flow would in fact
throw exceptions, and that the language had something like `unsigned'
to allow the programmer to suppress the exceptions when appropriate.
But that's a wish I don't expect to see fulfilled.

-- 
Eric Sosman
esosman@ieee-dot-org.invalid

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Thread

Arithmetic overflow checking rop rop <rop049@gmail.com> - 2011-07-06 08:35 -0700
  Re: Arithmetic overflow checking markspace <-@.> - 2011-07-06 09:42 -0700
    Re: Arithmetic overflow checking stefan@nyniva.se - 2011-07-06 11:30 -0700
      Re: Arithmetic overflow checking markspace <-@.> - 2011-07-06 11:36 -0700
      Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-18 23:06 -0400
  Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-06 10:16 -0700
    Re: Arithmetic overflow checking "John B. Matthews" <nospam@nospam.invalid> - 2011-07-07 02:26 -0400
      Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-18 23:07 -0400
    Re: Arithmetic overflow checking Peter Duniho <NpOeStPeAdM@NnOwSlPiAnMk.com> - 2011-07-07 07:11 -0700
      Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-07 10:02 -0700
        Re: Arithmetic overflow checking Peter Duniho <NpOeStPeAdM@NnOwSlPiAnMk.com> - 2011-07-07 17:51 -0700
          Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-07 20:04 -0700
            Re: Arithmetic overflow checking Peter Duniho <NpOeStPeAdM@NnOwSlPiAnMk.com> - 2011-07-07 20:29 -0700
            Re: Arithmetic overflow checking rop rop <rop049@gmail.com> - 2011-07-08 15:52 -0700
              Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-18 23:12 -0400
            Re: Arithmetic overflow checking Tom Anderson <twic@urchin.earth.li> - 2011-07-09 10:31 +0100
              Re: Arithmetic overflow checking rop rop <rop049@gmail.com> - 2011-07-09 02:58 -0700
                Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-09 08:53 -0400
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-09 07:46 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-18 23:17 -0400
                Re: Arithmetic overflow checking Peter Duniho <NpOeStPeAdM@NnOwSlPiAnMk.com> - 2011-07-18 23:22 -0700
            Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-10 01:47 -0700
              Re: Arithmetic overflow checking China Blue Dolls <chine.bleu@yahoo.com> - 2011-07-10 02:47 -0700
                Re: Arithmetic overflow checking pete <pfiland@mindspring.com> - 2011-07-10 06:04 -0400
                Re: Arithmetic overflow checking China Blue Dolls <chine.bleu@yahoo.com> - 2011-07-10 03:29 -0700
                Re: Arithmetic overflow checking Phil Carmody <thefatphil_demunged@yahoo.co.uk> - 2011-07-10 20:52 +0300
                Re: Arithmetic overflow checking pete <pfiland@mindspring.com> - 2011-07-10 23:29 -0400
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-10 04:44 -0700
                Re: Arithmetic overflow checking "BartC" <bc@freeuk.com> - 2011-07-12 11:33 +0100
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-12 04:17 -0700
                Re: Arithmetic overflow checking "BartC" <bc@freeuk.com> - 2011-07-12 12:33 +0100
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-12 05:24 -0700
                Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-12 21:45 -0400
                Re: Arithmetic overflow checking Malcolm McLean <malcolm.mclean5@btinternet.com> - 2011-07-12 05:25 -0700
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-12 10:21 -0700
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-12 23:54 -0700
                Re: Arithmetic overflow checking "BartC" <bc@freeuk.com> - 2011-07-12 19:14 +0100
                Re: Arithmetic overflow checking Malcolm McLean <malcolm.mclean5@btinternet.com> - 2011-07-13 00:20 -0700
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-12 09:26 -0700
                Re: Arithmetic overflow checking Joe Pfeiffer <pfeiffer@cs.nmsu.edu> - 2011-07-12 10:52 -0600
                Re: Arithmetic overflow checking Keith Thompson <kst-u@mib.org> - 2011-07-12 10:48 -0700
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-12 16:54 +0000
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-12 11:35 -0700
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-12 10:13 -0700
                Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-12 21:53 -0400
                Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-14 23:41 -0500
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-15 10:56 -0700
                Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-15 21:27 -0500
                Re: Arithmetic overflow checking bugbear <bugbear@trim_papermule.co.uk_trim> - 2011-07-20 09:22 +0100
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-20 10:51 -0700
                Re: Arithmetic overflow checking gordonb.3urm7@burditt.org (Gordon Burditt) - 2011-07-20 15:39 -0500
                Re: Arithmetic overflow checking "BartC" <bc@freeuk.com> - 2011-07-21 12:12 +0100
                Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-10 09:28 -0400
                Re: Arithmetic overflow checking Malcolm McLean <malcolm.mclean5@btinternet.com> - 2011-07-10 06:52 -0700
                Re: Arithmetic overflow checking Keith Thompson <kst-u@mib.org> - 2011-07-10 14:47 -0700
                Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-14 23:07 -0500
                Re: Arithmetic overflow checking Joshua Cranmer <Pidgeot18@verizon.invalid> - 2011-07-10 12:25 -0400
              Re: Arithmetic overflow checking Robert Wessel <robertwessel2@yahoo.com> - 2011-07-10 10:47 -0500
              Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-11 07:58 -0700
                Re: Arithmetic overflow checking Malcolm McLean <malcolm.mclean5@btinternet.com> - 2011-07-11 10:48 -0700
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-11 14:40 -0700
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-11 14:54 -0700
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-11 15:55 -0700
                Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-11 21:51 -0400
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-11 21:31 -0700
                Re: Arithmetic overflow checking Malcolm McLean <malcolm.mclean5@btinternet.com> - 2011-07-11 23:16 -0700
                Re: Arithmetic overflow checking James Kuyper <jameskuyper@verizon.net> - 2011-07-12 06:28 -0400
              Re: Arithmetic overflow checking "io_x" <a@b.c.invalid> - 2011-07-12 09:05 +0200
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-12 02:22 -0700
                Re: Arithmetic overflow checking "io_x" <a@b.c.invalid> - 2011-07-12 11:34 +0200
                Re: Arithmetic overflow checking Malcolm McLean <malcolm.mclean5@btinternet.com> - 2011-07-12 03:04 -0700
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-12 03:33 -0700
                Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-12 08:29 -0400
                Re: Arithmetic overflow checking "io_x" <a@b.c.invalid> - 2011-07-12 13:18 +0200
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-12 11:39 -0700
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-12 12:38 -0700
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-12 13:20 -0700
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-12 13:23 -0700
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-12 21:08 +0000
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-12 14:48 -0700
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-12 15:24 -0700
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-12 16:09 -0700
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-13 10:38 -0700
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-13 11:00 -0700
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-13 12:16 -0700
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-13 13:10 -0700
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-13 13:21 -0700
                Re: Arithmetic overflow checking Keith Thompson <kst-u@mib.org> - 2011-07-13 13:41 -0700
                Re: Arithmetic overflow checking Robert Wessel <robertwessel2@yahoo.com> - 2011-07-14 21:10 -0500
                Re: Arithmetic overflow checking "io_x" <a@b.c.invalid> - 2011-07-15 11:57 +0200
                Re: Arithmetic overflow checking Malcolm McLean <malcolm.mclean5@btinternet.com> - 2011-07-15 04:36 -0700
                Re: Arithmetic overflow checking tm <thomas.mertes@gmx.at> - 2011-07-13 00:52 -0700
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-13 07:45 -0700
          Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-08 00:30 -0400
            Re: Arithmetic overflow checking Peter Duniho <NpOeStPeAdM@NnOwSlPiAnMk.com> - 2011-07-08 01:29 -0700
              Re: Arithmetic overflow checking markspace <-@.> - 2011-07-08 07:38 -0700
                Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-08 20:40 -0400
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-08 18:17 -0700
                Re: Arithmetic overflow checking Peter Duniho <NpOeStPeAdM@NnOwSlPiAnMk.com> - 2011-07-08 19:49 -0700
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-08 22:26 -0700
                Re: Arithmetic overflow checking Peter Duniho <NpOeStPeAdM@NnOwSlPiAnMk.com> - 2011-07-08 17:42 -0700
            Re: Arithmetic overflow checking Tom Anderson <twic@urchin.earth.li> - 2011-07-09 10:21 +0100
            Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-10 10:53 -0400
              Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-10 18:07 +0000
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-10 11:29 -0700
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-10 19:22 +0000
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:40 -0400
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-21 23:06 +0000
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 19:38 -0400
                Re: Arithmetic overflow checking Henderson <h1@g1.f1> - 2011-07-22 00:27 -0400
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-22 13:00 +0000
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-10 17:17 -0700
          Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-08 10:23 -0700
            Re: Arithmetic overflow checking "John B. Matthews" <nospam@nospam.invalid> - 2011-07-08 19:30 -0400
              Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-11 08:04 -0700
            Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:43 -0400
          Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-15 00:28 -0500
      Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-18 23:09 -0400
    Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-15 00:14 -0500
      Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-15 07:00 -0700
        Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-15 08:09 -0700
          Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-20 22:07 -0400
        Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-15 23:29 -0500
          Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-15 22:26 -0700
            Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-16 00:32 -0500
              Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-16 11:00 -0700
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-16 11:15 -0700
                Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-16 15:41 -0500
                Re: Arithmetic overflow checking Andreas Leitgeb <avl@gamma.logic.tuwien.ac.at> - 2011-07-16 23:18 +0000
                Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-17 00:30 -0500
          Re: Arithmetic overflow checking "John B. Matthews" <nospam@nospam.invalid> - 2011-07-16 08:39 -0400
            Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-16 10:33 -0700
              Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-16 15:51 -0500
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-17 08:46 -0700
                Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-18 07:03 -0500
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-18 06:21 -0700
            Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-16 15:43 -0500
              Re: Arithmetic overflow checking "John B. Matthews" <nospam@nospam.invalid> - 2011-07-17 09:50 -0400
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-17 08:15 -0700
                Re: Arithmetic overflow checking "John B. Matthews" <nospam@nospam.invalid> - 2011-07-18 01:12 -0400
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:50 -0400
                Re: Arithmetic overflow checking "MikeP" <mp011011@some.org> - 2011-07-18 06:56 -0500
                Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-18 19:26 -0400
              Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-18 15:03 -0700
            Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-20 22:16 -0400
              Re: Arithmetic overflow checking Henderson <h1@g1.f1> - 2011-07-20 22:25 -0400
                Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-21 08:50 -0400
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-21 07:37 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:52 -0400
              Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-21 12:19 +0000
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:54 -0400
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-21 14:46 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 18:10 -0400
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-21 23:22 +0000
                Re: Arithmetic overflow checking "John B. Matthews" <nospam@nospam.invalid> - 2011-07-21 21:47 -0400
                Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-23 10:15 -0400
          Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-16 10:46 -0700
            Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-16 11:13 -0700
          Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-20 22:09 -0400
            Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-20 21:01 -0700
            Re: Arithmetic overflow checking Arved Sandstrom <asandstrom3minus1@eastlink.ca> - 2011-07-21 07:05 -0300
              Re: Arithmetic overflow checking supercalifragilisticexpialadiamaticonormalizeringelimatisticantations <supercalifragilisticexpialadiamaticonormalizeringelimatisticantations@averylongandannoyingdomainname.com> - 2011-07-21 06:28 -0400
                Re: Arithmetic overflow checking Andreas Leitgeb <avl@gamma.logic.tuwien.ac.at> - 2011-07-21 12:32 +0000
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:58 -0400
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-21 15:58 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 19:14 -0400
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-22 13:07 +0000
                Re: Arithmetic overflow checking Andreas Leitgeb <avl@gamma.logic.tuwien.ac.at> - 2011-07-22 17:33 +0000
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-22 13:36 -0700
                Re: Arithmetic overflow checking Andreas Leitgeb <avl@gamma.logic.tuwien.ac.at> - 2011-07-22 23:16 +0000
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-22 16:50 -0700
                Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-23 11:23 -0400
                Re: Arithmetic overflow checking supercalifragilisticexpialadiamaticonormalizeringelimatisticantations <supercalifragilisticexpialadiamaticonormalizeringelimatisticantations@averylongandannoyingdomainname.com> - 2011-07-23 12:04 -0400
              Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:57 -0400
          Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-20 22:12 -0400
        Re: Arithmetic overflow checking Arved Sandstrom <asandstrom3minus1@eastlink.ca> - 2011-07-21 06:41 -0300
          Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 16:38 -0400
  Re: Arithmetic overflow checking Wanja Gayk <brixomatic@yahoo.com> - 2011-07-06 22:28 +0200
    Re: Arithmetic overflow checking Wanja Gayk <brixomatic@yahoo.com> - 2011-07-06 22:30 +0200
    Re: Arithmetic overflow checking Tom Anderson <twic@urchin.earth.li> - 2011-07-06 22:32 +0100
      Re: Arithmetic overflow checking rop rop <rop049@gmail.com> - 2011-07-07 00:30 -0700
        Re: Arithmetic overflow checking Eric Sosman <esosman@ieee-dot-org.invalid> - 2011-07-07 07:54 -0400
          Re: Arithmetic overflow checking rop rop <rop049@gmail.com> - 2011-07-07 05:36 -0700
          Re: Arithmetic overflow checking Daniele Futtorovic <da.futt.news@laposte-dot-net.invalid> - 2011-07-07 19:11 +0200
        Re: Arithmetic overflow checking Tom Anderson <twic@urchin.earth.li> - 2011-07-07 14:21 +0100
      Re: Arithmetic overflow checking Stanimir Stamenkov <s7an10@netscape.net> - 2011-07-09 16:34 +0300
  Re: Arithmetic overflow checking Roedy Green <see_website@mindprod.com.invalid> - 2011-07-06 22:41 -0700
    Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-07 14:34 -0700
      Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-07 14:53 -0700
        Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-07 17:12 -0700
          Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-07 17:29 -0700
            Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-08 10:27 -0700
              Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-08 13:15 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-19 20:54 -0400
                Re: Arithmetic overflow checking markspace <-@.> - 2011-07-19 18:07 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-19 21:31 -0400
                Re: Arithmetic overflow checking Arved Sandstrom <asandstrom3minus1@eastlink.ca> - 2011-07-20 07:36 -0300
                Re: Arithmetic overflow checking RedGrittyBrick <RedGrittyBrick@spamweary.invalid> - 2011-07-20 11:58 +0100
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-20 09:51 -0700
                Re: Arithmetic overflow checking RedGrittyBrick <RedGrittyBrick@spamweary.invalid> - 2011-07-21 12:11 +0100
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-21 12:43 +0000
                Re: Arithmetic overflow checking Tom McGlynn <taqmcglynn@googlemail.com> - 2011-07-21 07:15 -0700
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-21 07:35 -0700
                Re: Arithmetic overflow checking Andreas Leitgeb <avl@gamma.logic.tuwien.ac.at> - 2011-07-21 15:38 +0000
                Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-21 09:03 -0700
                Re: Arithmetic overflow checking Joshua Cranmer <Pidgeot18@verizon.invalid> - 2011-07-21 12:00 -0700
                Re: Arithmetic overflow checking Andreas Leitgeb <avl@gamma.logic.tuwien.ac.at> - 2011-07-22 17:16 +0000
                Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-23 11:28 -0400
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 17:00 -0400
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-20 19:50 -0400
                Re: Arithmetic overflow checking Arved Sandstrom <asandstrom3minus1@eastlink.ca> - 2011-07-20 23:21 -0300
                Re: Arithmetic overflow checking Martin Gregorie <martin@address-in-sig.invalid> - 2011-07-21 12:52 +0000
                Re: Arithmetic overflow checking Henderson <h1@g1.f1> - 2011-07-21 15:58 -0400
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-21 17:06 -0400
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-20 14:35 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-20 18:22 -0400
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-21 14:54 -0700
            Re: Arithmetic overflow checking rop rop <rop049@gmail.com> - 2011-07-08 15:34 -0700
              Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-11 08:09 -0700
                Re: Arithmetic overflow checking Joshua Cranmer <Pidgeot18@verizon.invalid> - 2011-07-11 10:30 -0700
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-11 14:43 -0700
                Re: Arithmetic overflow checking Joshua Cranmer <Pidgeot18@verizon.invalid> - 2011-07-11 14:49 -0700
                Re: Arithmetic overflow checking Daniele Futtorovic <da.futt.news@laposte-dot-net.invalid> - 2011-07-17 17:14 +0200
                Re: Arithmetic overflow checking David Lamb <dalamb@cs.queensu.ca> - 2011-07-18 19:28 -0400
                Re: Arithmetic overflow checking Patricia Shanahan <pats@acm.org> - 2011-07-18 16:36 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-19 21:33 -0400
              Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-19 20:56 -0400
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-20 14:36 -0700
                Re: Arithmetic overflow checking Arne Vajhøj <arne@vajhoej.dk> - 2011-07-20 18:24 -0400
                Re: Arithmetic overflow checking Gene Wirchenko <genew@ocis.net> - 2011-07-21 14:55 -0700
  Re: Arithmetic overflow checking Roedy Green <see_website@mindprod.com.invalid> - 2011-07-06 22:43 -0700
  Re: Arithmetic overflow checking Jukka Lahtinen <jtfjdehf@hotmail.com.invalid> - 2011-07-07 14:56 +0300
  Re: Arithmetic overflow checking "Nasser M. Abbasi" <nma@12000.org> - 2011-07-08 21:27 -0700
    Re: Arithmetic overflow checking "Nasser M. Abbasi" <nma@12000.org> - 2011-07-08 21:57 -0700
    Re: Arithmetic overflow checking lewbloch <lewbloch@gmail.com> - 2011-07-09 12:16 -0700

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