Comparison between binary64 and decimal64 floating-point numbers
Abstract
We introduce an algorithm that allows one to quickly compare a binary64 floating-point (FP) number and a decimal64 FP number, assuming the "binary encoding" of the decimal formats specified by the IEEE 754-2008 standard for FP arithmetic is used. It is a two-step algorithm: a first pass, based on the exponents only, makes it possible to quickly eliminate most cases, then when the first pass does not suffice, a more accurate second pass is required. We provide an implementation of several variants of our algorithm, and compare them.
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Compar-Arith.pdf (283.93 Ko)
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compbindec-1.0.tar.xz (7.05 Mo)
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Origin | Files produced by the author(s) |
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Format | Other |
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