(28/48/50) Lambert W Function

01302024, 04:04 PM
Post: #41




RE: (28/48/50) Lambert W Function
(01302024 02:52 PM)Gil Wrote: FNL= Again, FNL is a recursive function! I don't know RPL, but the fact it started with WHILE already look wrong. Also, FNL is unsuitable for big x. (excess recursions cause unnessary rounding errors) For big x, return LOGP1(X)X, or simply LN(1+X)X, is faster and better. Again, please read thread: Accurate x  log(1+x) If your question is only about accurate log(1+x)x, please posted there. 

01312024, 07:10 PM
Post: #42




RE: (28/48/50) Lambert W Function
John,
Great your LambertW implementation! Comparing your results with my proper HP50G program, I think that for special cases like: k=1 & input x tiny like {x=1E496 or x=1E497 or x=1E497 or x=1E499 } or k=0 and x=1E499 your program cannot give a correct answer. Almost a pity. Regards, Gil 

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