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Stochastic Arithmetic to diagnose Floating-Point problems in Julia

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I tried using StochasticFloats with `eigvals` to see how many reliable digits the eigenvalues of some matrix had, and found `abs2(::SFloat64)` wasn't defined. I could work around that easily by...

I'd like to use this with https://github.com/JuliaMath/DoubleFloats.jl which are order-paired Float64s or Float32s and all the math is built atop error-free transformations (or faithful transformations where there is no error-free...

I have spent a good amount of time on optimizing error-free transformations in Julia. q.v. https://github.com/JeffreySarnoff/ErrorfreeArithmetic.jl in particular ```julia const FMAFloat = Union{Float64, Float32} function two_sum(a::T, b::T) where {T