Open
Description
julia> i1 = Interval{Float64, Open, Closed}(1, 2)
Interval{Float64,Open,Closed}(1.0, 2.0)
julia> i2 = Interval{Float64, Open, Closed}(1, 2 + 1e-10)
Interval{Float64,Open,Closed}(1.0, 2.00001)
julia> i1 ≈ i2
ERROR: MethodError: no method matching isapprox(::Interval{Float64,Open,Closed}, ::Interval{Float64,Open,Closed})
How would this behaviour be defined?
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The lower and upper bounds would have to be ≈ equal separately.
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The closed/open distinction would be ignored.
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If the underlying types don't have ≈ defined an error is thrown?