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Emulating Round-to-Nearest Ties-to-Zero “Augmented” Floating-Point Operations Using Round-to-Nearest Ties-to-Even Arithmetic | IEEE Journals & Magazine | IEEE Xplore

Emulating Round-to-Nearest Ties-to-Zero “Augmented” Floating-Point Operations Using Round-to-Nearest Ties-to-Even Arithmetic


Abstract:

The 2019 version of the IEEE 754 Standard for Floating-Point Arithmetic recommends that new “augmented” operations should be provided for the binary formats. These operat...Show More

Abstract:

The 2019 version of the IEEE 754 Standard for Floating-Point Arithmetic recommends that new “augmented” operations should be provided for the binary formats. These operations use a new “rounding direction”: round-to-nearest ties-to-zero. We show how they can be implemented using the currently available operations, using round-to-nearest ties-to-even with a partial formal proof of correctness.
Published in: IEEE Transactions on Computers ( Volume: 70, Issue: 7, 01 July 2021)
Page(s): 1046 - 1058
Date of Publication: 15 June 2020

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