• DocumentCode
    1454916
  • Title

    Toward correctly rounded transcendentals

  • Author

    Lefèvre, Vincent ; Muller, Jean-Michel ; Tisserand, Arnaud

  • Author_Institution
    Lab. LIP-IMAG, Ecole Normale Superieure de Lyon, France
  • Volume
    47
  • Issue
    11
  • fYear
    1998
  • fDate
    11/1/1998 12:00:00 AM
  • Firstpage
    1235
  • Lastpage
    1243
  • Abstract
    The Table Maker´s Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that have helped us to solve this problem for the double-precision exponential function in a small domain. These new results show that this problem can be solved, at least for the double-precision format, for the most usual functions
  • Keywords
    floating point arithmetic; roundoff errors; correctly rounded transcendentals; double-precision exponential function; double-precision format; elementary functions; Cost function; Error correction; Floating-point arithmetic; Helium; Polynomials; Portable computers;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/12.736435
  • Filename
    736435
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1454916