Binade
From HandWiki
In software engineering and numerical analysis, a binade is a set of numbers in a binary floating-point format that all have the same sign and exponent. In other words, a binade is the interval or for some integer value , that is, the set of real numbers or floating-point numbers of the same sign such that .[1][2][3]
Some authors use the convention of the closed interval instead of a half-open interval,[4] sometimes using both conventions in a single paper.[5] Some authors additionally treat each of various special quantities such as NaN, infinities, and zeroes as its own binade,[6] or similarly for the exceptional interval of subnormal numbers.[7]
See also
References
- ↑ Muller, Jean-Michel; Brunie, Nicolas; de Dinechin, Florent; Jeannerod, Claude-Pierre; Joldes, Mioara; Lefèvre, Vincent; Melquiond, Guillaume; Revol, Nathalie et al. (2018). Handbook of Floating-Point Arithmetic (2nd ed.). Birkhäuser. pp. 418–419. doi:10.1007/978-3-319-76526-6. ISBN 978-3-319-76525-9. https://doi.org/10.1007/978-3-319-76526-6.
- ↑ "Worst cases for correct rounding of the elementary functions in double precision". ARITH 2001. IEEE. 2001. pp. 111–118. doi:10.1109/ARITH.2001.930110. http://www.acsel-lab.com/arithmetic/arith15/papers/ARITH15_Lefevre.pdf.
- ↑ "A framework to test interval arithmetic libraries and their IEEE 1788-2015 compliance". Concurrency and Computation: Practice and Experience 36. 2023. doi:10.1002/cpe.7856. ISSN 1532-0626.
- ↑ "Underflow and the Denormalized Numbers". Computer (IEEE) 14 (3): 75–87. 1981. doi:10.1109/C-M.1981.220382. ISSN 0018-9162.
- ↑ "Worst Cases of a Periodic Function for Large Arguments". ARITH 2007. 2007. pp. 133–140. doi:10.1109/ARITH.2007.37.
- ↑ "A general-purpose method for faithfully rounded floating-point function approximation in FPGAs". ARITH 2015. 2015. pp. 42–49. doi:10.1109/ARITH.2015.27.
- ↑ "DLFloat: A 16-b Floating Point format designed for Deep Learning Training and Inference". ARITH 2019. 2019. pp. 92–95. doi:10.1109/ARITH.2019.00023.
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