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Toward Correctly Rounded Transcendentals
November 1998 (vol. 47 no. 11)
pp. 1235-1243

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.

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Index Terms:
Floating-point arithmetic, rounding, elementary functions, Table Maker's Dilemma.
Vincent Lefèvre, Jean-Michel Muller, Arnaud Tisserand, "Toward Correctly Rounded Transcendentals," IEEE Transactions on Computers, vol. 47, no. 11, pp. 1235-1243, Nov. 1998, doi:10.1109/12.736435
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