The necessity for accurate compiler‐provided routines when evaluating special functions
J. Oliver · Software Practice and Experience · 1983
Abstract Earlier authors have shown experimentally that the relative effect of rounding errors in the evaluation of polynomial approximations to certain special functions may be significantly reduced by first extracting an exponential factor. The critical importance of evaluating this exponential by an accurate library function is demonstrated, and the two principal methods of representing the polynomial part are shown to be equally accurate provided the recommended evaluation schemes are employed.