@inproceedings{203075f3d72540a3bc0ddf79fec5bfdf,

title = "Worst cases for the exponential function in the IEEE 754r decimal64 format",

abstract = "We searched for the worst cases for correct rounding of the exponential function in the IEEE 754r decimal64 format, and computed all the bad cases whose distance from a breakpoint (for all rounding modes) is less than 10⁻¹⁵ ulp, and we give the worst ones. In particular, the worst case for |x| ≥ 3 × 10⁻¹¹ is exp(9.407822313572878 × 10⁻²) = 1.098645682066338 5 0000000000000000 278 . . .. This work can be extended to other elementary functions in the decimal64 format and allows the design of reasonably fast routines that will evaluate these functions with correct rounding, at least in some domains.",

author = "Vincent Lefevre and Damien Stehl{\'e} and Paul Zimmermann",

year = "2008",

doi = "10.1007/978-3-540-85521-7_7",

language = "English",

isbn = "9783540855200",

series = "Lecture notes in computer science",

publisher = "Springer, Springer Nature",

pages = "114--126",

editor = "Peter Hertling and Hoffmann, {Christoph M.} and Wolfram Luther and Nathalie Revol",

booktitle = "Reliable implementation of real number algorithms",

address = "United States",

note = "International seminar on reliable implementation of real number algorithms : theory and practice ; Conference date: 08-01-2006 Through 13-01-2006",

}