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Computer Science > Hardware Architecture

arXiv:2305.06946 (cs)
[Submitted on 11 May 2023]

Title:Big-PERCIVAL: Exploring the Native Use of 64-Bit Posit
Arithmetic in Scientific Computing

Authors:David Mallasen, Alberto A. Del Barrio, Manuel Prieto-Matias
Download a PDF of the paper titled Big-PERCIVAL: Exploring the Native
Use of 64-Bit Posit Arithmetic in Scientific Computing, by David
Mallas\'en and 2 other authors
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    Abstract: The accuracy requirements in many scientific computing
    workloads result in the use of double-precision floating-point
    arithmetic in the execution kernels. Nevertheless, emerging
    real-number representations, such as posit arithmetic, show
    promise in delivering even higher accuracy in such computations.
    In this work, we explore the native use of 64-bit posits in a
    series of numerical benchmarks extracted from the PolyBench
    collection and compare their timing performance, accuracy and
    hardware cost to IEEE 754 doubles. For this, we extend the
    PERCIVAL RISC-V core and the Xposit custom RISC-V extension with
    posit64 and quire operations. Results show that posit64 can
    execute as fast as doubles, while also obtaining up to 4 orders
    of magnitude lower mean square error and up to 3 orders of
    magnitude lower maximum absolute error. However, leveraging the
    quire accumulator register can limit the order of some operations
    such as matrix multiplications. Furthermore, detailed FPGA
    synthesis results highlight the significant hardware cost of
    64-bit posit arithmetic and quire. Despite this, the large
    accuracy improvements achieved with the same memory bandwidth
    suggest that posit arithmetic may provide a potential alternative
    representation for scientific computing.

Comments: 12 pages. Code available at this https URL
Subjects: Hardware Architecture (cs.AR)
Cite as:  arXiv:2305.06946 [cs.AR]
          (or arXiv:2305.06946v1 [cs.AR] for this version)
          https://doi.org/10.48550/arXiv.2305.06946
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: David Mallasen [view email]
[v1] Thu, 11 May 2023 16:23:51 UTC (4,677 KB)
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