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Talk:Thiele's interpolation formula: Difference between revisions
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== How many entries should the trig table have? ==
How many entries should the trig table have? --[[User:Short Circuit|Michael Mol]] 14:46, 2 October 2010 (UTC)
: I make it 16, with ''x'' varying by steps of 0.05 from 0 to 1.55. (Now, if only I could make my version of this ''work'', but that algol68 code is deeply gnarly; does it really have different base indices in different dimensions?!?) –[[User:Dkf|Donal Fellows]] 16:01, 2 October 2010 (UTC)
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: Understood, but since the task is about interpolation, I figured that generating the initial reference table might be a spurious requirement. --[[User:Short Circuit|Michael Mol]] 23:43, 2 October 2010 (UTC)
I confess that I was trying to think of something "interesting" (yet simple) to interpolate, and recalled using interpolation to calculate inverse trig functions from high school log/trig tables[http://www.eton.co.nz/shop/Mathematics+Text+And+Homework+Books/Age+17+Alternative+Textbooks/Eton+Statistical+And+Math+Tables+%28Fourth+Edition%29.html]. Hence this unit test. What would be nice would be some "historic" interpolation, e.g. [[wp:Discovery of Neptune#Discovery Observation: September 24th 1846|Discovery of Neptune]], that would be another task in itself. The three π calculations from a generic trig table is practical. [[User:NevilleDNZ|NevilleDNZ]] 00:18, 3 October 2010 (UTC)
Yes. Here is a quote from the 1968 Congress: [http://www.cs.ru.nl/~kees/home/papers/psi96.pdf C.H.A. Koster (1993). "The Making of Algol 68" (PDF)].
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