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I had reason to use complex numbers in Lua recently.  I tried to save
time by using someone else's complex number package.  You should
conclude from this note that public packages require careful scrutiny.

I found a post to this list that included Lua code for complex
numbers, but its definition of division has a sign error.  I
downloaded the LuaMatrix 2.0.8 package, but its complex number code is
very difficult to read and I noticed an error in the definition for
the natural logarithm.

I visited my bookcase and found:

"Introduction to Complex Variables and Applications", Ruel
V. Churchill, McGraw-Hill Book Company, Inc, 1949.

Note the year.  It's a wonderful book.  I used it to guide the writing
of a complex number package.  I don't have a good place to make it
available, so I've put it in the CVS repository for the lineqpp
project on LuaForge.

Let me conclude with a very serious question.  Is there a vetting
process for Lua packages?  For example, is there a way to gain
confidence in some package because several others assert it has done
right by them?  Shouldn't there be a complex number package that is
the one the community agrees is solid?