Functions to Support Input and Output of Intervals

Details Functions to Support Input and Output of Intervals Functions to Support Input and Output of Intervals

2007-02-28

arxiv.org/abs/cs/0703003v1

Computer Science

Numerical Analysis

16 pages, 13 figures with listings

Scientific paper

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 argue 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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