Fixed differentiation for all interfaces, added generator. Also, adde…

[Gabriel-Bottrill]

…d tests for differentiation

The following have all been completed:

• All new or changed features have a related unit test.

• The entire test suite passes.

• No extra files have been added by mistake, i.e. .vscode.

• Style guidelines have been followed.

• All files have been formatted.

• Documentation and version number (if applicable) have been updated.

• All code changed has been clearly written and commented.

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[Gabriel-Bottrill]

@glassnotes, this is just a draft for now. I just moved over what I had and will need to change some stuff including adding the warning for adjoint-dif. I was wondering what you thought about adding a Python warning to the generator function so that whenever generator is called it throws a warning?

[glassnotes]

adding a Python warning to the generator function

I would only put a warning if it pertains to some sort of deprecation / usage effect that the user could cause. This is just related to adjoint diff, right? If the documentation is clear and there is some warning thrown if a user tries to use adjoint diff specifically, then I don't see why more is needed. The generator exists and a user should be able to construct and inspect it.