Last update: Sun Oct 15 02:36:38 MDT 2017
@Article{Lambov:2008:IAU,
author = "Branimir Lambov",
title = "Interval Arithmetic Using {SSE-2}",
journal = j-LECT-NOTES-COMP-SCI,
volume = "5045",
pages = "102--113",
year = "2008",
CODEN = "LNCSD9",
DOI = "https://doi.org/10.1007/978-3-540-85521-7_6",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Thu Oct 1 11:29:36 MDT 2015",
bibsource = "http://www.math.utah.edu/pub/tex/bib/lncs2008a.bib",
URL = "http://link.springer.com/content/pdf/10.1007/978-3-540-85521-7_6.pdf;
http://www.springerlink.com/content/576312312g511037/",
abstract = "We present an implementation of double precision
interval arithmetic using the
single-instruction-multiple-data SSE-2 instruction and
register set extensions. The implementation is part of
a package for exact real arithmetic, which defines the
interval arithmetic variation that must be used:
incorrect operations such as division by zero cause
exceptions and loose evaluation of the operations is in
effect. The SSE-2 extensions are suitable for the job,
because they can be used to operate on a pair of double
precision numbers and include separate rounding mode
control and detection of the exceptional conditions.
The paper describes the ideas we use to fit interval
arithmetic to this set of instructions, shows a
performance comparison with other freely available
interval arithmetic packages, and discusses possible
very simple hardware extensions that can significantly
increase the performance of interval arithmetic.",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/978-3-540-85521-7",
book-URL = "http://www.springerlink.com/content/978-3-540-85521-7",
fjournal = "Lecture Notes in Computer Science",
remark = "Conference on Reliable Implementation of Real Number
Algorithms: Theory and Practice",
}