Title :
Toward correctly rounded transcendentals
Author :
Lefèvre, Vincent ; Muller, Jean-Michel ; Tisserand, Arnaud
Author_Institution :
Lab. LIP-IMAG, Ecole Normale Superieure de Lyon, France
fDate :
11/1/1998 12:00:00 AM
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;
Journal_Title :
Computers, IEEE Transactions on
