2013 IEEE 21st Symposium on Computer Arithmetic (ARITH) (2013)

Austin, TX

April 7, 2013 to April 10, 2013

ISSN: 1063-6889

ISBN: 978-1-4673-5644-2

pp: 99-106

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ARITH.2013.22

V. Lefevre , INRIA, Univ. de Lyon, Lyon, France

ABSTRACT

SIPE (Small Integer Plus Exponent) is a mini-library in the form of a C header file, to perform floating-point computations in very low precisions with correct rounding to nearest in radix 2. The goal of such a tool is to do proofs of algorithms/properties or computations of tight error bounds in these precisions by exhaustive tests, in order to try to generalize them to higher precisions. The currently supported operations are addition, subtraction, multiplication (possibly with the error term), FMA, and miscellaneous comparisons and conversions. Timing comparisons have been done with hardware IEEE-754 floating point and with GNU MPFR.

INDEX TERMS

Libraries, Standards, Timing, Hardware, Context, Computers, Algorithm design and analysis,correct rounding, low precision, arithmetic operations

CITATION

V. Lefevre,
"SIPE: Small Integer Plus Exponent",

*2013 IEEE 21st Symposium on Computer Arithmetic (ARITH)*, vol. 00, no. , pp. 99-106, 2013, doi:10.1109/ARITH.2013.22