Nitpick with FLOOR etc. Michael Sperber (07 Jul 2005 08:46 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (09 Jul 2005 00:50 UTC)
Re: Nitpick with FLOOR etc. Michael Sperber (11 Jul 2005 06:55 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (16 Jul 2005 02:01 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (16 Jul 2005 08:38 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (16 Jul 2005 17:42 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (16 Jul 2005 09:12 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (16 Jul 2005 18:19 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (17 Jul 2005 17:23 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (17 Jul 2005 17:35 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (17 Jul 2005 22:43 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (18 Jul 2005 01:43 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (18 Jul 2005 02:31 UTC)
Re: Nitpick with FLOOR etc. bear (18 Jul 2005 05:59 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (18 Jul 2005 18:57 UTC)
Re: Nitpick with FLOOR etc. bear (19 Jul 2005 01:35 UTC)
Re: Nitpick with FLOOR etc. Alan Watson (19 Jul 2005 20:30 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (21 Jul 2005 17:35 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (24 Jul 2005 23:15 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (18 Jul 2005 03:24 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (18 Jul 2005 18:24 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (18 Jul 2005 18:41 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (21 Jul 2005 23:36 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (22 Jul 2005 00:50 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (25 Jul 2005 00:54 UTC)
Re: Nitpick with FLOOR etc. bear (27 Jul 2005 15:56 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (01 Aug 2005 16:33 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (25 Jul 2005 01:16 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (25 Jul 2005 02:38 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (28 Jul 2005 01:11 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (28 Jul 2005 18:15 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (01 Aug 2005 16:59 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (02 Aug 2005 13:58 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (18 Jul 2005 17:39 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (18 Jul 2005 18:15 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (20 Jul 2005 19:24 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (20 Jul 2005 21:35 UTC)
Re: Nitpick with FLOOR etc. bear (20 Jul 2005 22:41 UTC)
Re: Nitpick with FLOOR etc. Paul Schlie (20 Jul 2005 22:47 UTC)
Re: Nitpick with FLOOR etc. Aubrey Jaffer (21 Jul 2005 01:31 UTC)

Re: Nitpick with FLOOR etc. Aubrey Jaffer 18 Jul 2005 17:39 UTC

 | Date: Sun, 17 Jul 2005 21:43:42 -0400
 | From: Paul Schlie <xxxxxx@comcast.net>
 |
 | > From: Aubrey Jaffer <xxxxxx@alum.mit.edu>
 | >  | Date: Sun, 17 Jul 2005 13:23:26 -0400
 | >  | From: Paul Schlie <xxxxxx@comcast.net>
 | > ...
 | > Exact infinities are not needed for SRFI-70.
 | >
 | >  |   (> #e1/0 #e10^1000 #i10^300) => #t
 | >  |
 | >  |   as otherwise: (> (* #e10^1000 #e10^1000) #e10^1000)
 | >  |
 | >  |   :: (> #i1/0 #e10^1000) => #f
 | >
 | > That conflicts with SRFI-70, which specifies that #i+1/0 compares as
 | > larger than any finite real number, exact or inexact:
 |
 | - well, it should be clear that that's not going to work, as it would be
 |   false for most all exact implementations.

 From SRFI-70:
  "... an inexact real number represents not a single value, but a
  neighborhood of (mathematical) real numbers. ... +/0. represents real
  numbers greater than can be encoded by finite inexacts in the
  implementation ... -/0. represents numbers less than can be encoded by
  finite inexacts in the implementation."

One might argue that large exact numbers being within the
+/0. interval make them `=' to it.  But that foils transitivity for
`=':

  (= (expt 10 1000) +/0. (expt 10 999)

Large exact numbers can not be greater than +/0. because the entire
real line is covered by inexact neighborhoods in SRFI-70.

So large exact numbers must be less than +/0..