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------- Additional comments from [EMAIL PROTECTED] Thu Oct  6 19:20:39 -0700 
2005 -------
There is however one caveat; the original Maclaurin expansion is more accurate
for values of x up to 4 while the Asymptotic expansion performs terribly.  But
for x larger than 4 the Asymptotic expansion is more accurate.  Therefore, in my
proposed patch, which will follow soon, the original Maclaurin expansion is used
for 0 < x < 4 and the asymptotic expansion for x > 4.

I have also compared against the values of erf and erfc computed by octave,
gnumeric, and Excel 2003.  My proposed algorithm performs comparably, though not
identically, with octave and gnumeric (these two spit the identical numbers so I
assume they use the same algorithm), but it converges to 1 more quickly than
octave/gnumeric.  However, when compared with Excel 2003's values they were
almost identical, so much so that I'm pretty sure that Excel must use this same
algorithm internally!

The comparison table follows...

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