MATLAB Simulator of Level-Index Arithmetic
<|reference_start|>MATLAB Simulator of Level-Index Arithmetic: Level-index arithmetic appeared in the 1980s. One of its principal purposes is to abolish the issues caused by underflows and overflows in floating point. However, level-index arithmetic does not expand the set of numbers but spaces out the numbers of large magnitude even more than floating-point representations to move the infinities further away from zero: gaps between numbers on both ends of the range become very large. We revisit level index by presenting a custom precision simulator in MATLAB. This toolbox is useful for exploring performance of level-index arithmetic in research projects, such as using 8-bit and 16-bit representations in machine learning algorithms where narrow bit-width is desired but overflow/underflow of floating-point representations causes difficulties.<|reference_end|>
@article{mikaitis2024matlab,
    title={MATLAB Simulator of Level-Index Arithmetic},
    author={Mantas Mikaitis},
    journal={arXiv preprint arXiv:2402.02301},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.02301},
    primaryClass={cs.MS cs.AR cs.NA math.NA}
}