Acceleration of multi-component multiple-precision arithmetic with branch-free algorithms and SIMD vectorization

Fuente: arXiv
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Auteur principal: Kouya, Tomonori
Format: Preprint
Publié: 2026
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author Kouya, Tomonori
author_facet Kouya, Tomonori
contents Multiple-precision floating-point branch-free algorithms can significantly accelerate multi-component arithmetic implemented by combining hardware-based binary64 and binary32, particularly for triple- and quadruple-precision computations. In this study, we achieved benchmark results on x86 and ARM CPU platforms to quantify the accelerations achieved in linear computations and polynomial evaluation by integrating these algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2603_14926
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Acceleration of multi-component multiple-precision arithmetic with branch-free algorithms and SIMD vectorization
Kouya, Tomonori
Mathematical Software
Numerical Analysis
Multiple-precision floating-point branch-free algorithms can significantly accelerate multi-component arithmetic implemented by combining hardware-based binary64 and binary32, particularly for triple- and quadruple-precision computations. In this study, we achieved benchmark results on x86 and ARM CPU platforms to quantify the accelerations achieved in linear computations and polynomial evaluation by integrating these algorithms.
title Acceleration of multi-component multiple-precision arithmetic with branch-free algorithms and SIMD vectorization
topic Mathematical Software
Numerical Analysis
url https://arxiv.org/abs/2603.14926