| Revision as of 15:47, 13 May 2016 editLoVVgE (talk | contribs)57 editsNo edit summary← Previous edit | Revision as of 15:47, 13 May 2016 edit undoLoVVgE (talk | contribs)57 editsNo edit summaryNext edit → | ||
| Line 9: | Line 9: | ||
| Unum implementations have been explored in Julia.<ref>http://juliacomputing.com/blog/2016/03/29/unums.html</ref><ref>https://github.com/JuliaComputing/Unums.jl</ref><ref>https://github.com/REX-Computing/unumjl</ref><ref>https://github.com/tbreloff/Unums.jl</ref> | Unum implementations have been explored in Julia.<ref>http://juliacomputing.com/blog/2016/03/29/unums.html</ref><ref>https://github.com/JuliaComputing/Unums.jl</ref><ref>https://github.com/REX-Computing/unumjl</ref><ref>https://github.com/tbreloff/Unums.jl</ref> | ||
| A "Great Debate" between ] and ] is planned for the Arith23 conference<ref>http://arith23.gforge.inria.fr/program.html</ref> on July 12. | A "Great Debate" between ] and ] is planned for the Arith23 conference<ref>http://arith23.gforge.inria.fr/program.html</ref> on July 12. | ||
| ==References== | ==References== | ||
Revision as of 15:47, 13 May 2016
The unum is a floating point format proposed by John Gustafson , proposed as an alternative to the now ubiquitious IEEE 754 formats. The proposal and justification are explained in his somewhat ambitiously-titled book The end of error.
The two defining features of the unum format are:
- a variable-width storage format for both the significand and exponent, and
- an “u-bit”, which determines whether the unum corresponds to an exact number (u=0), or an interval between consecutive exact unums (u=1). In this way, the unums cover the entire extended real number line .
For performing computation with the format, Gustafson proposes using interval arithmetic with a pair of unums, what he calls an ubound, providing the guarantee that the resulting interval contains the exact solution.
Unum implementations have been explored in Julia.
A "Great Debate" between William Kahan and John Gustafson is planned for the Arith23 conference on July 12.