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Conference Papers Year : 2024

Useful applications of correctly-rounded operators of the form ab + cd + e

Abstract

We show that the availability of fused arithmetic operators that evaluate expressions of the form $ab + cd$ (FD2 instruction) or $ab + cd + e$ (FD2A instruction) in floating-point arithmetic with one final rounding only would significantly facilitate many calculations that are hard to perform with high accuracy at small cost using only the traditional operations $+$, $-$, $\times$, $\div$, $\surd{}$, and fused multiply-add (FMA).
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Dates and versions

hal-04461089 , version 1 (16-02-2024)
hal-04461089 , version 2 (25-04-2024)

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Identifiers

  • HAL Id : hal-04461089 , version 2

Cite

Tom Hubrecht, Claude-Pierre Jeannerod, Jean-Michel Muller. Useful applications of correctly-rounded operators of the form ab + cd + e. 2024 IEEE 31st Symposium on Computer Arithmetic (ARITH 2024), Jun 2024, Málaga, Spain. ⟨hal-04461089v2⟩
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