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FloatX: A C++ Library for Customized Floating-Point Arithmetic

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  • معلومة اضافية
    • Contributors:
      Universitat Politècnica de València. Departamento de Sistemas Informáticos y Computación - Departament de Sistemes Informàtics i Computació; Universitat Politècnica de València. Departamento de Informática de Sistemas y Computadores - Departament d'Informàtica de Sistemes i Computadors; European Regional Development Fund; Ministerio de Economía y Competitividad; Agencia Estatal de Investigación
    • بيانات النشر:
      Association for Computing Machinery
    • الموضوع:
      2019
    • Collection:
      Universitat Politécnica de Valencia: RiuNet / Politechnical University of Valencia
    • نبذة مختصرة :
      "© ACM, 2019. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM Transactions on Mathematical Software, {45, 4, (2019)} https://dl.acm.org/doi/10.1145/3368086" ; [EN] We present FloatX (Float eXtended), a C++ framework to investigate the effect of leveraging customized floating-point formats in numerical applications. FloatX formats are based on binary IEEE 754 with smaller significand and exponent bit counts specified by the user. Among other properties, FloatX facilitates an incremental transformation of the code, relies on hardware-supported floating-point types as back-end to preserve efficiency, and incurs no storage overhead. The article discusses in detail the design principles, programming interface, and datatype casting rules behind FloatX. Furthermore, it demonstrates FloatX's usage and benefits via several case studies from well-known numerical dense linear algebra libraries, such as BLAS and LAPACK; the Ginkgo library for sparse linear systems; and two neural network applications related with image processing and text recognition. ; This work was supported by the CICYT projects TIN2014-53495-R and TIN2017-82972-R of the MINECO and FEDER, and the EU H2020 project 732631 "OPRECOMP. Open Transprecision Computing." ; Flegar, G.; Scheidegger, F.; Novakovic, V.; Mariani, G.; Tomás Domínguez, AE.; Malossi, C.; Quintana-Ortí, ES. (2019). FloatX: A C++ Library for Customized Floating-Point Arithmetic. ACM Transactions on Mathematical Software. 45(4):1-23. https://doi.org/10.1145/3368086 ; S ; 1 ; 23 ; 45 ; 4 ; Edward Anderson Zhaojun Bai L. Susan Blackford James Demmesl Jack J. Dongarra Jeremy Du Croz Sven Hammarling Anne Greenbaum Alan McKenney and Danny C. Sorensen. 1999. LAPACK Users’ Guide (3rd ed.). SIAM. Edward Anderson Zhaojun Bai L. Susan Blackford James Demmesl Jack J. Dongarra Jeremy Du Croz Sven Hammarling Anne Greenbaum Alan McKenney and Danny C. Sorensen. 1999. LAPACK Users’ ...
    • ISSN:
      0098-3500
    • Relation:
      ACM Transactions on Mathematical Software; info:eu-repo/grantAgreement/EC/H2020/732631/EU/Open transPREcision COMPuting/; info:eu-repo/grantAgreement/MINECO//TIN2014-53495-R/ES/COMPUTACION HETEROGENEA DE BAJO CONSUMO/; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-82972-R/ES/TECNICAS ALGORITMICAS PARA COMPUTACION DE ALTO RENDIMIENTO CONSCIENTE DEL CONSUMO ENERGETICO Y RESISTENTE A ERRORES/; https://doi.org/10.1145/3368086; urn:issn:0098-3500; http://hdl.handle.net/10251/152256
    • الرقم المعرف:
      10.1145/3368086
    • Rights:
      http://rightsstatements.org/vocab/InC/1.0/ ; info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.57122A6B