Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format
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چکیده
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 ulp, and we give the worst ones. In particular, the worst case for |x| ≥ 3 × 10 is exp(9.407822313572878 × 10) = 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.
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تاریخ انتشار 2006