Functions to Support Input and Output of Intervals [article]

M.H. van Emden, B. Moa, S.C. Somosan
<span title="2007-02-28">2007</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Interval arithmetic is hardly feasible without directed rounding as provided, for example, by the IEEE floating-point standard. Equally essential for interval methods is directed rounding for conversion between the external decimal and internal binary numerals. This is not provided by the standard I/O libraries. Conversion algorithms exist that guarantee identity upon conversion followed by its inverse. Although it may be possible to adapt these algorithms for use in decimal interval I/O, we
more &raquo; ... ue that outward rounding in radix conversion is computationally a simpler problem than guaranteeing identity. Hence it is preferable to develop decimal interval I/O ab initio, which is what we do in this paper.
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