From: Clem Cole <clemc@ccc.com>
To: Abhinav Rajagopalan <abhinavrajagopalan@gmail.com>
Cc: The Eunuchs Hysterical Society <tuhs@tuhs.org>,
Doug McIlroy <doug@cs.dartmouth.edu>
Subject: Re: [TUHS] Space Travel, was New: The Earliest UNIX Code
Date: Sat, 19 Oct 2019 15:19:40 -0400 [thread overview]
Message-ID: <CAC20D2N=mcR3X=rg=or_19y9pwq5dijbOou53pCiMj1+h7ng8A@mail.gmail.com> (raw)
In-Reply-To: <CANOZ5rjGQeA3BFaMFXV3s-+11Ev9th2zerhvmBZetT6q0Eh2VQ@mail.gmail.com>
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Abhinav -- it is still done today. For Intel's MKL we must have a team of
programmers that specialize in writing math at the lowest levels. DEC,
CDC, Cray, IBM did the same thing back in the day. Check out: Intel Math
Kernel Library (*a.k.a.* MKL) <https://software.intel.com/en-us/mkl>.
On Sat, Oct 19, 2019 at 2:34 PM Abhinav Rajagopalan <
abhinavrajagopalan@gmail.com> wrote:
> Forgive me for both hijacking this thread, and to address my amateurish
> gnawing concern, but how was it be possible to write differential/integral
> equations at an assembly/machine level at the time, especially in machines
> such as the PDP-7 and such which had IIRC just 16 instructions and operated
> on the basis of mere words, especially the floating point math being done.
> Surmising from some personal experience that writing mathematical programs
> is hard even now, although there exist certain functional paradigms, and
> specialised environments such as MATLAB or Mathematica. The
> complexity seems to remain the same if not more now, due to the vast oodles
> of data to handle stemming from the nature of the world.
>
> Were they loaded as just words as any other instruction or were there
> separate coprocessors that did the number crunching? I'm guessing
> Fortran-ish kind of implementations were done, but the hardware level
> computation itself I just can't process.
>
> It just blows my mind now thinking backwards in terms of those
> monster machines being loaded with trails of paper tape instructions to
> play Space Travel. Being born in the late 90's doesn't help me too.
>
> Also, on a related note, don't know if you've watched the interview
> <https://youtu.be/EY6q5dv_B-o> of Ken done by Brian at the Vintage
> Comptuer Federation 2019, there might be a few surprises lurking around the
> middle of that when they discuss pipes and grep.
>
> Thank you!
>
> On Sat, Oct 19, 2019 at 8:11 PM Doug McIlroy <doug@cs.dartmouth.edu>
> wrote:
>
>> I was about to add a footnote to history about
>> how the broad interests and collegiality of
>> Bell Labs staff made Space Travel work, when
>> I saw that Ken beat me to telling how he got
>> help from another Turing Award winner.
>>
>> > while writing "space travel,"
>> > i could not get the space ship integration
>> > around a planet to keep from either gaining or
>> > losing energy due to floating point errors.
>> > i asked dick hamming if he could help. after
>> > a couple hours, he came back with a formula.
>> > i tried it and it worked perfectly. it was some
>> > weird simple double integration that self
>> > corrected for fp round off. as near as i can
>> > ascertain, the formula was never published
>> > and no one i have asked (including me) has
>> > been able to recreate it.
>>
>> If I remember correctly, the cause of Ken's
>> difficulty was not roundoff error. It
>> was discretization error in the integration
>> formula--probably f(t+dt)=f(t)+f'(t)dt.
>> Dick saw that the formula did not conserve
>> energy and found an alternative that did.
>>
>
>
> --
>
> Abhinav Rajagopalan
>
>
>
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next prev parent reply other threads:[~2019-10-19 19:20 UTC|newest]
Thread overview: 39+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-10-19 14:40 Doug McIlroy
2019-10-19 18:32 ` Abhinav Rajagopalan
2019-10-19 18:44 ` Abhinav Rajagopalan
2019-10-19 19:19 ` Clem Cole [this message]
2019-10-19 19:50 ` Henry Bent
2019-10-19 19:55 ` [TUHS] Space Travel related question Thomas Paulsen
2019-10-19 20:19 ` Warner Losh
2019-10-19 20:24 ` [TUHS] Space Travel, was New: The Earliest UNIX Code Arthur Krewat
2019-10-19 20:12 ` [TUHS] How to do differential/integral on a PDP-7, was: Space Travel Michael Kjörling
2019-10-19 20:40 ` Arthur Krewat
2019-10-19 21:15 ` Michael Kjörling
2019-10-21 5:14 ` Dave Horsfall
2019-10-21 5:23 ` Lars Brinkhoff
2019-10-21 13:59 ` John P. Linderman
[not found] ` <68553366-4E6F-4E17-8903-282C67186D16@humeweb.com>
2019-10-26 2:24 ` Dave Horsfall
2019-10-26 2:09 ` Dave Horsfall
2019-10-21 4:55 ` Dave Horsfall
2019-10-21 19:21 ` Paul Winalski
2019-10-21 19:38 ` Kurt H Maier
-- strict thread matches above, loose matches on Subject: below --
2019-10-19 13:13 [TUHS] Space Travel, was New: The Earliest UNIX Code Doug McIlroy
2019-10-18 11:52 Doug McIlroy
2019-10-18 18:36 ` Steffen Nurpmeso
2019-10-18 20:19 ` SPC
2019-10-18 22:04 ` Ken Thompson via TUHS
2019-10-18 23:20 ` Arthur Krewat
2019-10-19 0:57 ` G. Branden Robinson
2019-10-19 1:11 ` Arthur Krewat
2019-10-29 2:18 ` Lawrence Stewart
2019-10-26 15:10 ` Lars Brinkhoff
2019-10-17 19:21 [TUHS] New: The Earliest UNIX Code - From the Collection of the Software History Center, Computer History Museum Lyle Bickley
2019-10-17 20:44 ` [TUHS] Space Travel, was New: The Earliest UNIX Code Warren Toomey
2019-10-17 22:39 ` Warner Losh
2019-10-17 22:51 ` Warren Toomey
2019-10-18 5:59 ` Lars Brinkhoff
2019-10-18 9:30 ` SPC
2019-10-18 17:36 ` Nemo
2019-10-18 3:01 ` Warren Toomey
2019-10-18 5:07 ` Lars Brinkhoff
2019-10-18 5:10 ` Lars Brinkhoff
2019-10-18 13:37 ` Warner Losh
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