[Proj] Relationship between transverse Mercator algorithms
al001 at uni-koeln.de
Tue Sep 9 14:52:46 EDT 2008
>Relationship betweeen transverse Mercator algorithms
>by Charles Karney
I have never read such a clear and concise
explanation of the differences and similarities
between the various TM algorithms. Thank you!
As for good old Krüger 1912, considering that
things were done those days using paper and
pencil, it remains truly remarkable.
If you would you care to comment on the numerical
properties of using Horner vs. Clenshaw for
series expansions, I shall be most grateful.
I am also especially interested in the relevance
of using IEEE 10 byte floating point format
instead of 8 byte double precision, since it is
said to be the native mode of Intel hardware
floating point implementations, even though it's
not available in all compilers. I have not
noticed any speed disadvantage when using it, and
it perhaps provides a bit more precision at low cost.
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