Remove compat entries for differentiation libraries

[jackyarndley]

This PR removes the compat entries for differentiation libraries which prevented some of them from updating to newer versions. I have left the compat entry for DifferentiationInterface.

The tests are also modified to remove the requirements for Mooncake which was not used and currently has issues updating to Julia 1.12 which I am currently using. All tests now pass on this version.

It may be important to add some kind of extension compat for the Zygote extension since this uses the Zygote internal methods.

[ronisbr]

Hi @jackyarndley !

If we remove those compat, we will have problems registering the packages. Notice that Zygote and FowardDiff are weakdeps using in the extensions.

[ronisbr]

Oh sorry @jackyarndley !

I have already commit a patch that should fix this issue. It is almost the same as you proposed here, but FiniteDiff stayed with the lower version as 2.26

[ronisbr]

Can you please check if the version in master is working?

[jackyarndley]

@ronisbr, thank you for being so prompt! The version in master works great - my own project can now use the latest version. I will close this PR.

If you have a chance, could you please investigate not having the Mooncake dependency for the tests - it doesn't seem to be used and prevents testing this package on the (soon to be) latest Julia version.

[ronisbr]

@ronisbr, thank you for being so prompt! The version in master works great - my own project can now use the latest version. I will close this PR.

Awesome! I am glad to help :) I have just ask for registration of 3.1.1 which you fix this problem.

If you have a chance, could you please investigate not having the Mooncake dependency for the tests - it doesn't seem to be used and prevents testing this package on the (soon to be) latest Julia version.

I have already mentioned it to @jmurphy6895. I think he will investigate it soon.