MPFR: A Multiple-Precision Binary Floating-Point Library With Correct Rounding
Identifieur interne : 003023 ( Hal/Corpus ); précédent : 003022; suivant : 003024MPFR: A Multiple-Precision Binary Floating-Point Library With Correct Rounding
Auteurs : Laurent Fousse ; Guillaume Hanrot ; Vincent Lefèvre ; Patrick Pélissier ; Paul ZimmermannSource :
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Abstract
This paper presents a multiple-precision binary floating-point library, written in the ISO C language, and based on the GNU MP library. Its particularity is to extend ideas from the IEEE-754 standard to arbitrary precision, by providing correct rounding and exceptions. We demonstrate how these strong semantics are achieved | with no signicant slowdown with respect to other tools | and discuss a few applications where such a library can be useful.
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<front><div type="abstract" xml:lang="en">This paper presents a multiple-precision binary floating-point library, written in the ISO C language, and based on the GNU MP library. Its particularity is to extend ideas from the IEEE-754 standard to arbitrary precision, by providing correct rounding and exceptions. We demonstrate how these strong semantics are achieved | with no signicant slowdown with respect to other tools | and discuss a few applications where such a library can be useful.</div>
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<hal api="V3"><titleStmt><title xml:lang="en">MPFR: A Multiple-Precision Binary Floating-Point Library With Correct Rounding</title>
<author role="aut"><persName><forename type="first">Laurent</forename>
<surname>Fousse</surname>
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<email></email>
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<author role="aut"><persName><forename type="first">Guillaume</forename>
<surname>Hanrot</surname>
</persName>
<email>Guillaume.Hanrot@loria.fr</email>
<idno type="halauthor">73144</idno>
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<author role="aut"><persName><forename type="first">Vincent</forename>
<surname>Lefèvre</surname>
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<author role="aut"><persName><forename type="first">Patrick</forename>
<surname>Pélissier</surname>
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<email></email>
<idno type="halauthor">97964</idno>
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<author role="aut"><persName><forename type="first">Paul</forename>
<surname>Zimmermann</surname>
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<email></email>
<idno type="idhal">paul-zimmermann</idno>
<idno type="halauthor">60829</idno>
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<editor role="depositor"><persName><forename>Rapport De Recherche</forename>
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<email>rrrt-editeurs@inria.fr</email>
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<editionStmt><edition n="v1" type="current"><date type="whenSubmitted">2006-05-19 19:47:07</date>
<date type="whenWritten">2005-11</date>
<date type="whenModified">2016-05-19 01:09:23</date>
<date type="whenReleased">2006-05-31 14:24:23</date>
<date type="whenProduced">2005</date>
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<idno type="halRefHtml">[Research Report] RR-5753, INRIA. 2005, pp.15</idno>
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<idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
<idno type="stamp" n="INPL">Institut National Polytechnique de Lorraine</idno>
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<sourceDesc><biblStruct><analytic><title xml:lang="en">MPFR: A Multiple-Precision Binary Floating-Point Library With Correct Rounding</title>
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<textClass><keywords scheme="author"><term xml:lang="en">FLOATING-POINT ARITHMETIC</term>
<term xml:lang="en">CORRECT ROUNDING</term>
<term xml:lang="en">ELEMENTARY FUNCTION</term>
<term xml:lang="en">PORTABLE SOFTWARE</term>
<term xml:lang="en">MULTIPLE-PRECISION ARITHMETIC</term>
<term xml:lang="en">IEEE-754 STANDARD</term>
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<abstract xml:lang="en">This paper presents a multiple-precision binary floating-point library, written in the ISO C language, and based on the GNU MP library. Its particularity is to extend ideas from the IEEE-754 standard to arbitrary precision, by providing correct rounding and exceptions. We demonstrate how these strong semantics are achieved | with no signicant slowdown with respect to other tools | and discuss a few applications where such a library can be useful.</abstract>
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