Toward correctly rounded transcendentals

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 smal...

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Bibliographic Details
Published in:IEEE transactions on computers 1998-11, Vol.47 (11), p.1235-1243
Main Authors: Lefevre, V., Muller, J.-M., Tisserand, A.
Format: Article
Language:English
Subjects:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Computer science
control theory
systems
Cost function
Design. Technologies. Operation analysis. Testing
Electronics
Error correction
Exact sciences and technology
Floating-point arithmetic
Integrated circuits
Polynomials
Portable computers
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Theoretical computing
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Summary: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.
ISSN:0018-9340
1557-9956
DOI:10.1109/12.736435