caml-list - the Caml user's mailing list
 help / color / mirror / Atom feed
From: "David McClain" <dmcclain1@mindspring.com>
To: <caml-list@inria.fr>
Subject: [Caml-list] Complex Arithmetic
Date: Wed, 28 Mar 2001 09:14:08 -0700	[thread overview]
Message-ID: <000901c0b7a2$20e18750$210148bf@dylan> (raw)

Hi!

I want to thank all of you on this topic for helping point out the wider
meaning of Kahan's statement. After getting some sleep I now realize the
"Eureka!" that I missed in the wider sense, along with every other language
(that I know about) that uses rectangular mapping of the complex plane. I
need to stop working all night into the red-eye zone so that these things
become a bit more apparent on first glimpse...

Indeed a rectangular representation *IS* insufficient and something which
also encodes the Riemann sheet is needed to properly handle all
possibilities.

Will I fix NML in this regard? Probably not... simply because letter-perfect
complex arithmetic is so rarely needed in practice. But I might play around
with a limited class of compelx numbers that do things correctly. I wouldn't
want to hose down the performance of my FFT's and such.

- DM

-------------------
To unsubscribe, mail caml-list-request@inria.fr.  Archives: http://caml.inria.fr


             reply	other threads:[~2001-03-28 16:14 UTC|newest]

Thread overview: 5+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2001-03-28 16:14 David McClain [this message]
  -- strict thread matches above, loose matches on Subject: below --
2001-03-28  7:37 David McClain
2001-03-28  7:21 David McClain
2001-03-28  7:47 ` Bruce Hoult
2001-03-28  8:16   ` David McClain

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to='000901c0b7a2$20e18750$210148bf@dylan' \
    --to=dmcclain1@mindspring.com \
    --cc=caml-list@inria.fr \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).