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Motion 10 -- elementary functions



The revised version 10v2.1 looks nice -- except that I don't see how
my question about ranges with unrepresentable endpoints was addressed
for the arctrig functions.

This problem becomes acute when we consider several precisions, because
when converting a result to a higher precision, legitimate values could
be left out if the listed range was respected strictly in the lower
precision.  So I suppose the listed range should imply outward rounding,
i.e. use PI/2 instead of \pi/2, where PI is the floating-point number
closest to but not smaller than mathematical \pi.  This may then include
several representable values outside the strict range when converted to
higher precision -- but over-inclusion is often to be expected in IA.

I would also prefer to see "compound-1" instead of compound, for no
loss in general and greatly improved precision for small arguments.
(Others have made this point already.)

Michel.
---Sent: 2009-11-30 20:20:32 UTC