Functions to Support Input and Output of Intervals
<|reference_start|>Functions to Support Input and Output of Intervals: 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.<|reference_end|>
@article{van emden2007functions,
    title={Functions to Support Input and Output of Intervals},
    author={M.H. van Emden, B. Moa, and S.C. Somosan},
    journal={arXiv preprint arXiv:cs/0703003},
    year={2007},
    number={DCS-311-IR},
    archivePrefix={arXiv},
    eprint={cs/0703003},
    primaryClass={cs.NA}
}