HP Forum Archive 21

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Books on computing Elementary Functions Message #1 Posted by Nick_S on 13 Sept 2012, 3:20 a.m. I am interested in some background reading on computing Elementary Functions and I came across recommendations to a couple of classics (Hart et al., 1968, Computer Approximations; Cody and Waite 1980 Software Manual for the Elementary Function) and a more modern text (Muller, 2006, Elementary Functions: Algorithms and Implementation). I was wondering what are your views on these texts, or any other books in the area? The first one I encountered referenced in a version of the Smalltalk language(Squeak) where, because the source code for the entire system is included with the run-time objects, the accompanying comments showed that a number of floating point methods came from Hart et al's book. I gather that Muller's book covers shift-and-add methods such as the CORDIC method used in HP calculators. Nick Edited: 13 Sept 2012, 3:27 a.m. after one or more responses were posted

Re: Books on computing Elementary Functions Message #2 Posted by Eric Smith on 13 Sept 2012, 3:25 a.m., in response to message #1 by Nick_S I really like Muller 2006. It has especially good coverage of range reduction.

Re: Books on computing Elementary Functions Message #3 Posted by Paul Dale on 13 Sept 2012, 3:51 a.m., in response to message #1 by Nick_S I'll second Muller. Also see message #24 here for a pile more. - Pauli

Re: Books on computing Elementary Functions Message #4 Posted by Nick_S on 14 Sept 2012, 2:16 a.m., in response to message #3 by Paul Dale Thanks, I'll get myself a copy of Muller to start with. Nick Edited: 14 Sept 2012, 2:16 a.m.

Re: Books on computing Elementary Functions Message #5 Posted by David Hayden on 14 Sept 2012, 7:33 a.m., in response to message #4 by Nick_S It's available as a pdf here. I don't know if that website has permission from the copyright holder to post it, but there it is.

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