Evaluating at endpoints of open interval

[ParadaCarleton]

The code seems to be creating errors by trying to evaluate at endpoints of an open interval, when the function might not exist at these endpoints:

julia> d
(0.0..3.0 (open)) × (0.0..10.0 (open))

julia> f = Fun((ξ, σ) -> log_posterior(data, ξ, σ), d)
ERROR: ArgumentError: GeneralizedPareto: the condition σ > zero(σ) is not satisfied.
Stacktrace:
  [1] macro expansion
    @ ~/.julia/packages/Distributions/vR2pk/src/utils.jl:6 [inlined]
  [2] #GeneralizedPareto#147
    @ ~/.julia/packages/Distributions/vR2pk/src/univariate/continuous/generalizedpareto.jl:41 [inlined]
  [3] GeneralizedPareto
    @ ~/.julia/packages/Distributions/vR2pk/src/univariate/continuous/generalizedpareto.jl:41 [inlined]
  [4] GeneralizedPareto
    @ ~/.julia/packages/Distributions/vR2pk/src/univariate/continuous/generalizedpareto.jl:50 [inlined]
  [5] #9
    @ ./REPL[21]:1 [inlined]
  [6] mapreduce_impl(f::var"#9#10"{Float64, Float64}, op::typeof(Base.add_sum), A::Vector{Float64}, ifirst::Int64, ilast::Int64, blksize::Int64)
    @ Base ./reduce.jl:244
  [7] mapreduce_impl
    @ ./reduce.jl:259 [inlined]
  [8] _mapreduce(f::var"#9#10"{Float64, Float64}, op::typeof(Base.add_sum), #unused#::IndexLinear, A::Vector{Float64})
    @ Base ./reduce.jl:417
  [9] _mapreduce_dim
    @ ./reducedim.jl:330 [inlined]
 [10] #mapreduce#725
    @ ./reducedim.jl:322 [inlined]
 [11] mapreduce
    @ ./reducedim.jl:322 [inlined]
 [12] #_sum#735
    @ ./reducedim.jl:894 [inlined]
 [13] _sum
    @ ./reducedim.jl:894 [inlined]
 [14] #sum#733
    @ ./reducedim.jl:890 [inlined]
 [15] sum
    @ ./reducedim.jl:890 [inlined]
 [16] log_like
    @ ./REPL[21]:1 [inlined]
 [17] log_posterior(x::Vector{Float64}, ξ::Float64, σ::Float64)
    @ Main ./REPL[23]:1
 [18] (::var"#31#32")(ξ::Float64, σ::Float64)
    @ Main ./REPL[63]:1
 [19] (::ApproxFunBase.DFunction)(::Float64, ::Vararg{Float64})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/LinearAlgebra/helper.jl:647
 [20] (::ApproxFunBase.var"#22#24"{ApproxFunBase.DFunction})(xy::StaticArrays.SVector{2, Float64})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:100
 [21] (::ApproxFunBase.DFunction)(args::StaticArrays.SVector{2, Float64})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/LinearAlgebra/helper.jl:647
 [22] _broadcast_getindex_evalf
    @ ./broadcast.jl:670 [inlined]
 [23] _broadcast_getindex
    @ ./broadcast.jl:643 [inlined]
 [24] getindex
    @ ./broadcast.jl:597 [inlined]
 [25] macro expansion
    @ ./broadcast.jl:961 [inlined]
 [26] macro expansion
    @ ./simdloop.jl:77 [inlined]
 [27] copyto!
    @ ./broadcast.jl:960 [inlined]
 [28] copyto!
    @ ./broadcast.jl:913 [inlined]
 [29] materialize!
    @ ./broadcast.jl:871 [inlined]
 [30] materialize!
    @ ./broadcast.jl:868 [inlined]
 [31] broadcast!(f::ApproxFunBase.DFunction, dest::Vector{Float64}, As::Vector{StaticArrays.SVector{2, Float64}})
    @ Base.Broadcast ./broadcast.jl:837
 [32] default_Fun(#unused#::Type{Float64}, f::Function, d::TensorSpace{Tuple{Chebyshev{OpenInterval{Float64}, Float64}, Chebyshev{OpenInterval{Float64}, Float64}}, VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}}, Float64}, pts::Vector{StaticArrays.SVector{2, Float64}}, #unused#::Type{Val{false}})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:44
 [33] default_Fun(f::ApproxFunBase.DFunction, d::TensorSpace{Tuple{Chebyshev{OpenInterval{Float64}, Float64}, Chebyshev{OpenInterval{Float64}, Float64}}, VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}}, Float64}, n::Int64, #unused#::Type{Val{false}})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:57
 [34] default_Fun(f::Function, d::TensorSpace{Tuple{Chebyshev{OpenInterval{Float64}, Float64}, Chebyshev{OpenInterval{Float64}, Float64}}, VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}}, Float64}, n::Int64)
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:72
 [35] default_Fun(f::ApproxFunBase.DFunction, d::TensorSpace{Tuple{Chebyshev{OpenInterval{Float64}, Float64}, Chebyshev{OpenInterval{Float64}, Float64}}, VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}}, Float64})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:121
 [36] Fun(f::Function, d::TensorSpace{Tuple{Chebyshev{OpenInterval{Float64}, Float64}, Chebyshev{OpenInterval{Float64}, Float64}}, VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}}, Float64})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:177
 [37] default_Fun(f::ApproxFunBase.DFunction, d::TensorSpace{Tuple{Chebyshev{OpenInterval{Float64}, Float64}, Chebyshev{OpenInterval{Float64}, Float64}}, VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}}, Float64})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:100
 [38] Fun(f::Function, d::TensorSpace{Tuple{Chebyshev{OpenInterval{Float64}, Float64}, Chebyshev{OpenInterval{Float64}, Float64}}, VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}}, Float64})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:177
 [39] Fun(f::Function, d::VcatDomain{2, Float64, (1, 1), Tuple{OpenInterval{Float64}, OpenInterval{Float64}}})
    @ ApproxFunBase ~/.julia/packages/ApproxFunBase/vVgJc/src/constructors.jl:173
 [40] top-level scope
    @ REPL[63]:1

[dlfivefifty]

Open intervals aren’t properly supported