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<p><b>Abstract</b>—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.</p>
Floating-point arithmetic, rounding, elementary functions, Table Maker's Dilemma.
Jean-Michel Muller, Vincent Lefèvre, Arnaud Tisserand, "Toward Correctly Rounded Transcendentals", IEEE Transactions on Computers, vol. 47, no. , pp. 1235-1243, November 1998, doi:10.1109/12.736435
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