Emulating round-to-nearest ties-to-zero "augmented" floating-point operations using round-to-nearest ties-to-even arithmetic - Archive ouverte HAL Access content directly
Journal Articles IEEE Transactions on Computers Year : 2021

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 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.
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Dates and versions

hal-02137968 , version 1 (23-05-2019)
hal-02137968 , version 2 (15-10-2019)
hal-02137968 , version 3 (18-10-2019)
hal-02137968 , version 4 (13-03-2020)

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Cite

Sylvie Boldo, Christoph Q. Lauter, Jean-Michel Muller. Emulating round-to-nearest ties-to-zero "augmented" floating-point operations using round-to-nearest ties-to-even arithmetic. IEEE Transactions on Computers, 2021, 70 (7), pp.1046 - 1058. ⟨10.1109/TC.2020.3002702⟩. ⟨hal-02137968v4⟩
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