The Unum Number Format: Mathematical Foundations, Implementation and Comparison to IEEE 754 Floating-Point Numbers
Numerical Analysis
2017-01-04 v1 Mathematical Software
Abstract
This thesis examines a modern concept for machine numbers based on interval arithmetic called 'Unums' and compares it to IEEE 754 floating-point arithmetic, evaluating possible uses of this format where floating-point numbers are inadequate. In the course of this examination, this thesis builds theoretical foundations for IEEE 754 floating-point numbers, interval arithmetic based on the projectively extended real numbers and Unums.
Keywords
Cite
@article{arxiv.1701.00722,
title = {The Unum Number Format: Mathematical Foundations, Implementation and Comparison to IEEE 754 Floating-Point Numbers},
author = {Laslo Hunhold},
journal= {arXiv preprint arXiv:1701.00722},
year = {2017}
}
Comments
95 pages, 7 figures, 14 code listings