Lat/Lon to Local Time



I am writing a program that must calculate local time from
latitude/longitude. I realize this is not a trivial undertaking, given
the social and political issues of time zones. However, it seems to me
that there are programs I've seen that surely must know the algorithm.
Table based lookup is highly undesirable but will do if there are no
other solutions available.

Does anyone know how this is done?

.



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