IntervalArithmetic.jl
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Improve the documentation for `pow`
julia> using IntervalArithmetic
julia> x = interval(-4, -2)
[-4.0, -2.0]_com
julia> pow(x, 2)
∅_trv
The problem seems to be in these lines:
https://github.com/JuliaIntervals/IntervalArithmetic.jl/blob/544c0005b96e70c026ebc306ebeeb7e7fed63274/src/intervals/arithmetic/power.jl#L157-L159
It is unclear to me why domain should be nonnegative. Clearly you can take a power of a negative number.
Thanks for opening this issue. I agree this may be odd looking; for the reasons behind this behavior refer to Table 9.1 from the IEEE standard.
The documentation can always be improved, and in particular that of pow. So I changed the title this issue accordingly.
Note that pow is not an alias for ^,
julia> interval(-4, -2)^2
[4.0, 16.0]_com
julia> pown(interval(-4, -2), 2)
[4.0, 16.0]_com
julia> pow(interval(-4, -2), 2)
∅_trv