David P. Sanders

Document `in` behaviour

5

```jl julia> 3.5 ∈ interval(3, 4) false ``` This should either work or give me an error message telling me that this is not supported for intervals and telling me...

Expose domain of functions

5

Currently the user has no way of knowing which domain a function is defined over. We should define e.g. ```jl domain(sqrt) = 0..Inf ``` or `domain_interval(sqrt)`.

Piecewise functions

5

Here's a possible implementation for piecewise functions: ```jl using IntervalArithmetic using IntervalArithmetic.Symbols # to use the constructor `..` # represents a piecewise 1D function struct Piecewise{T x -> x +...

Rationals behave badly

4

Rationals do not behave well inside `CuArray`s. Not sure there's much to do about this, except implement a simpler Rational type: ```jl julia> v = CuArray([1//3]) 1-element CuArray{Rational{Int64},1}: 1//3 julia>...

[Part of the [review](https://github.com/JuliaCon/proceedings-review/issues/148) for the JuliaCon proceedings.] As far as I can tell the use of a global store for tracking means that the package is not thread-safe. Is...

Document `isapprox`

3

```jl julia> isapprox(1..2, 3..4) ERROR: ArgumentError: `==` is purposely not supported for intervals. See instead `isequal_interval` Stacktrace: [1] ==(x::Interval{Float64}, y::Interval{Float64}) @ IntervalArithmetic ~/Dropbox/packages/IntervalArithmetic/src/intervals/real_interface.jl:86 [2] #isapprox#809 @ ./floatfuncs.jl:308 [inlined] [3] isapprox(x::Interval{Float64},...

Document `PowerMode`

11

Currently to compute `(1..2)^(1//7)` we are converting the rational to an interval. This loses accuracy. We should instead use the corresponding MPFR function, `mpfr_rootn_si`. Unfortunately Julia does not seem to...

`relative([ C[4] / 4, D, E] )` Should compute octave and duration automatically.