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.
Index Terms:
elementary functions, floating-point arithmetic.
Citation:
Vincent Lefevre, Arnaud Tisserand, Jean-Michel Muller, "Towards Correctly Rounded Transcendentals," arith, pp.132, 13th IEEE Symposium on Computer Arithmetic (ARITH-13 '97), 1997