The Table Maker's Dilemma the Table Maker's Dilemma
نویسندگان
چکیده
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. RRsumm Le dilemme du concepteur de tables est le probllme de toujours fournir des rrsultats arrondis correctement lors du calcul de fonctions llmentaires. Aprrs une brrve prrsentation du probllme, nous prrsentons de nouveaux rrsultats qui permettent de rrsoudre ce probllme pour l'exponentielle en double prrcision dans un petit domaine. Ces rrsultats montrent que le probllme peut tre rrsolu, au moins pour le format double prrcision, pour la plupart des fonctions usuelles. Mots-clls: Dilemme du constructeur de tables, fonctions llmentaires, arrondi correct, arithmmtique virgule ottante.
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