Add JET tests

[JoshuaLampert]

Checklist

• Appropriate tests were added
• Any code changes were done in a way that does not break public API
• All documentation related to code changes were updated
• The new code follows the
  contributor guidelines, in particular the SciML Style Guide and
  COLPRAC.
• Any new documentation only uses public API

Additional context

As discussed in #501 (comment), this adds JET.jl tests. I'll try to also fix any potential issues reported by JET.jl here.

[JoshuaLampert]

So the remaining errors from JET.jl are all because of StaticArraysCore.similar_type. The problem here is that RecursiveArrayTools.jl depends only on StaticArraysCore.jl, where similar_type is defined, but only as a stub. The actual implementation lives in StaticArrays.jl, which is not visible to RecursiveArrayTools.jl. I'm not sure what the best option to fix this is. Any ideas, @ChrisRackauckas?
Of course, this is usually not a problem because we have StaticArrays.jl loaded when we want to call this method, but I understand why JET.jl is complaining.

[ChrisRackauckas]

You can set it to ignore that function

[JoshuaLampert]

You can set it to ignore that function

There is not option for filtering specific functions directly in JET.jl, right? So now I first get all reports, then manually filter out the similar_type related errors, and finally test if any error is left.

[ChrisRackauckas]

There is not option for filtering specific functions directly in JET.jl, right?

I thought there was? At least the Aqua use of JET has it?

[ChrisRackauckas]

instead of a new workflow it should just be a new test group

[JoshuaLampert]

That won't be possible because we cannot add JET.jl to the Project.toml and test on julia pre-v1.12 and v1.12 due to package compat connstraints, see NumericalMathematics/DispersiveShallowWater.jl#216 (comment).

[ChrisRackauckas]

No it just needs to allow JET v0.9 and v0.11

[JoshuaLampert]

You mean something like 2acf709? Let's see if that works. Last time I tried to make something like this work, I always got compat problems.

[JoshuaLampert]

Ok, seems fine.

[JoshuaLampert]

There is not option for filtering specific functions directly in JET.jl, right?

I thought there was? At least the Aqua use of JET has it?

Can you point me to that please?

[ChrisRackauckas]

Oh actually that's just for implicit import checks. So this approach seems fine.