Comparison between binary and decimal floating-point numbers
Résumé
We introduce an algorithm to compare a binary floating-point (FP) number and a decimal FP number, assuming the "binary encoding" of the decimal formats is used, and with a special emphasis on the basic interchange formats specified by the IEEE 754-2008 standard for FP arithmetic. It is a two-step algorithm: a first pass, based on the exponents only, quickly eliminates most cases, then, when the first pass does not suffice, a more accurate second pass is performed. We provide an implementation of several variants of our algorithm, and compare them.
Domaines
Arithmétique des ordinateurs
Fichier principal
Compar-IEEETC.pdf (225.33 Ko)
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compbindec-2.0.tar.xz (7.05 Mo)
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| Origine | Fichiers produits par l'(les) auteur(s) |
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| Format | Autre |
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