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Re: complete arithmetic



Ulrich,

I doubt it was anyone's intention to kill complete
arithmetic by citing an inappropriate reference.
We must have missed your request to change the reference.
I have seen about getting the reference changed,
before the working group begins the ratification vote
for the entire document.

Best regards,

Baker

On 05/23/2014 05:59 AM, Ulrich Kulisch wrote:
Dear Van and P1788 members:

The first sentence in the section on Complete Arithmetic of DRAFT 7.1
of the Standard for Interval Arithmetic dated April 3, 2013 was:

/An implementation that provides 754-conforming types shall provide //*
complete arithmetic*//, as specified in U. Kulisch and V. Snyder [4], //
//for the parent format F of at least one such type.//
/
I was afraid that with this formulation we might get it only for simgle
precision
and asked for an other formulation that would allow double precision.

Now in the latest DRAFT 9.2 dated May 7, 2014 the first sentence reads:

/For each supported 754-conforming type, derived from a format F, //
//the implementation should provide //*complete arithmetic*////for F, as //
//specified in Kulisch and Snyder [8].//
/
This formulation is suited to kill complete arithmetic definitely. The
paper [8]
is very general. I repeatedly tried to get it exchanged by the much
simpler paper:
/The Exact Dot //P//roduct/ (see attachment). But with no success.

In this paper we say:

/An implementation shall (or should) at least provide complete formats
corresponding //
//to binary64 if it provides binary floating-point  and decimal 64 if it
provides decimal //
//floating-point. Complete formats corresponeding to other
floating-point formats may //
//be provided.//
/
Please adapt DRAFT 9.2 appropriately.

With best regards
Ulrich

--
Karlsruher Institut für Technologie (KIT)
Institut für Angewandte und Numerische Mathematik
D-76128 Karlsruhe, Germany
Prof. Ulrich Kulisch

Telefon: +49 721 608-42680
Fax: +49 721 608-46679
E-Mail:ulrich.kulisch@xxxxxxx
www.kit.edu
www.math.kit.edu/ianm2/~kulisch/

KIT - Universität des Landes Baden-Württemberg
und nationales Großforschungszentrum in der
Helmholtz-Gesellschaft



--

---------------------------------------------------------------
Ralph Baker Kearfott,   rbk@xxxxxxxxxxxxx   (337) 482-5346 (fax)
(337) 482-5270 (work)                     (337) 993-1827 (home)
URL: http://interval.louisiana.edu/kearfott.html
Department of Mathematics, University of Louisiana at Lafayette
(Room 217 Maxim D. Doucet Hall, 1403 Johnston Street)
Box 4-1010, Lafayette, LA 70504-1010, USA
---------------------------------------------------------------

Attachment: DotProdP1788.pdf
Description: Adobe PDF document