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> I do not understand the code in PIL 3rd in Listing 15.2 (page 158) "Module with export list".
> It starts:
> 
> local function new (r,i) return {r=r, i=i} end
> -- defines constant 'i'
> local i = complex.new(0,1)

There is a typo there. See the errata at http://www.lua.org/pil/errata.html .