Problems with trigonometric functions for Float32 intervals

[mfherbst]

I'm interested in using IntervalArithmetic with Float32 data types. At the moment I'm not that much interested in speed, more to get it to work.

There are currently some issues with some functions for Float32 intervals. For example

cos(Interval{Float32}(0.1))
ERROR: MethodError: no method matching pi_interval(::Type{Float32})
Closest candidates are:
  pi_interval(::Type{BigFloat}) at /home/herbstm/.julia/packages/IntervalArithmetic/1T5or/src/intervals/precision.jl:74
  pi_interval(::Type{Float64}) at /home/herbstm/.julia/packages/IntervalArithmetic/1T5or/src/intervals/precision.jl:75
Stacktrace:
 [1] two_pi(::Type{Float32}) at /home/herbstm/.julia/packages/IntervalArithmetic/1T5or/src/intervals/trigonometric.jl:18
 [2] cos(::Interval{Float32}) at /home/herbstm/.julia/packages/IntervalArithmetic/1T5or/src/intervals/trigonometric.jl:151
 [3] top-level scope at REPL[10]:1

Similarly

exp(Interval{Float32}(0.1))
ERROR: StackOverflowError:
Stacktrace:
 [1] exp(::Float32, ::RoundingMode{:Down}) at /home/herbstm/.julia/packages/CRlibm/2S9DB/src/CRlibm.jl:137 (repeats 80000 times)

which I have also reported here: JuliaIntervals/CRlibm.jl#32. There might be more things, but this is what I found so far.

[dpsanders]

This is now working with version 0.8 of CRlibm.
No changes were required to IntervalArithmetic!

julia> exp(Interval{Float32}(0.1))
[1.10517, 1.10518]

julia> cos(Interval{Float32}(0.1))
[0.995004, 0.995005]

julia> sin(Interval{Float32}(0.1))
[0.0998334, 0.0998335]

julia> log(Interval{Float32}(0.1))
[-2.30259, -2.30258]

julia> typeof(ans)
Interval{Float32}

[dpsanders]

We may want to change show to show that these are intervals of Float32.