I've posted a proposed solution 
here: https://github.com/scheinerman/RiemannComplexNumbers.jl.git


On Saturday, January 10, 2015 at 8:55:09 AM UTC-5, Ed Scheinerman wrote:
>
> Is there a way to have a single complex infinity? This may come at the 
> cost of computational efficiency I suppose, but I can think of situations 
> where all of the following give the same result:
>
> julia> (1+1im)/0
> Inf + Inf*im
>
> julia> 1im/0
> NaN + Inf*im
>
> julia> 1/0 + im
> Inf + 1.0im
>
> It would be nice (sometimes) if these were all the same ComplexInf, say. 
> Perhaps there's an "extended complex numbers" module for this sort of work? 
>

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