Title :
Towards correctly rounded transcendentals
Author :
Lefèvre, Vincent ; Muller, Jean-Michel ; Tisserand, Arnaud
Author_Institution :
Lab. LIP-IMAG, Ecole Normale Superieure de Lyon, France
Abstract :
The Table Maker´s Dilemma is the problem of always getting exactly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that 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 :
digital arithmetic; mathematics; mathematics computing; roundoff errors; Table Makers Dilemma; correctly rounded transcendentals; double precision exponential function; double precision format; elementary functions; exactly rounded results; Arithmetic; Portable computers;
Conference_Titel :
Computer Arithmetic, 1997. Proceedings., 13th IEEE Symposium on
Conference_Location :
Asilomar, CA
Print_ISBN :
0-8186-7846-1
DOI :
10.1109/ARITH.1997.614888
