Fun feature; if SmoothedConstantInterpolation is used with extrapolation = ExtrapolationType.Periodic, then the transitions are also smooth:

using DataInterpolations
using Plots
using Random

N = 4
Random.seed!(8)
u = rand(N)
t = cumsum(rand(N))
Δt = t[end] - t[1]
t_eval = range(first(t) - Δt, last(t) + Δt, length = 500)

A = SmoothedConstantInterpolation(u, t; extrapolation = ExtrapolationType.Periodic, d_max = 0.2)

plot(t_eval, A.(t_eval))
scatter!(t[1:end-1], u[1:end-1]; label = "data")
scatter!(t[1:end-1] .+ Δt, u[1:end-1]; label = "data one period forward")
scatter!(t[1:end-1] .- Δt, u[1:end-1]; label = "data one period back")

Conflicts?

I don't understand why the derivative tests are failing 🤔

fixed it 👍

I think I'm happy. @sathvikbhagavan ?

A tangentially related gripe regarding periodic extrapolation: calendars are a mess, making it difficult to periodically extrapolate timeseries in a way that does not get out of sync with them

@sathvikbhagavan not sure why but formatting locally doesn't make the check pass

It might be the version. Are you using v1 or v2? CI tries to check in v1

That did it 🥳 Btw, is there a way to set compat bounds on packages in your base env?

SciML/.github#25 let's just get that fixed.

Let's update the formatting in a follow up, seems like it takes time to propagate.