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There is a numerical array module, but it's neither standard nor it supports

Thanks; that's useful, but kind of complementary.

I think it would be important for the core Lua language to standardize numerical arrays with a minimal set of operations.  Packages like numlua, image processing, computer graphics, OpenGL, etc. would then build on those arrays and provide many more operations.  The benefit of standardizing the stuff is that different packages then can use the same array types, but the core language/distribution doesn't get a lot of extra code.