Implement relative Frobenius for Drinfeld modules

[xcaruso]

This PR implements the relative Frobenius for Drinfeld modules.

📝 Checklist

• The title is concise and informative.
• The description explains in detail what this PR is about.
• I have linked a relevant issue or discussion.
• I have created tests covering the changes.
• I have updated the documentation and checked the documentation preview.

⌛ Dependencies

#40430

[github-actions]

Documentation preview for this PR (built with commit d315182; changes) is ready! 🎉
This preview will update shortly after each push to this PR.

[kryzar]

Two minor changes and then we'll be good.

[xcaruso]

I applied your suggestions.
And also merge drinfeld_tau in this ticket for compatibility.

[kryzar]

It's really tedious and frustrating going through each build or test fail individually, just to inevitably note that the problem comes either from internal machinery or a contribution that was not caught. I really hope the maintainers do something about that.

PR approved.

[vbraun]

Why are you deleting conftest.py?

[xcaruso]

Why are you deleting conftest.py?

Sorry. It always disappear by itself, I don't know why.

[user202729]

It's really tedious and frustrating going through each build or test fail individually, just to inevitably note that the problem comes either from internal machinery or a contribution that was not caught. I really hope the maintainers do something about that.

PR approved.

I'm frustrated too. I tried to implement #39539 as a workaround, but it isn't working and I don't know why.

For now, I mostly just look at the meson one and if say at most 2 of them are failing then it's probably just flaky tests.

This doesn't work with build-doc or build-doc-pdf however, there's only one run of it. Doesn't help that you need to search through a huge log file for the error.

Why are you deleting conftest.py?

Sorry. It always disappear by itself, I don't know why.

Strange. After #39363 there should be no issue with it.

Unless… the pull request itself is responsible for the disappearing file.

As a workaround (I of course encourage proper fix, but we don't have enough people to look at all these bugs, unfortunately) you can

git update-index --assume-unchanged conftest.py

[user202729]

Yes, documentation build failure is legitimate.

I suggest checking out the documentation preview (see message by github-actions above) to see if it renders correctly. At least I see two places where it's wrong

The easiest way to check is to click the "changes is ready" button; however this currently give some false positive, but not so much that it becomes useless.

#40530

[user202729]

actually the established macro is \newcommand{\GF}[1]{\Bold{F}_{#1}}. (personally I prefer mathbb, but just for consistency with other parts of the code base)

(this macro is available for you to use)

[xcaruso]

Actually, we already use mathbb everywhere in the drinfeld_modules directory.
However, I can switch to GF if you think it's better.

[user202729]

I mean, if people decide mathbb is better than mathbf, it's trivial to change the definition of the GF command at one place.

… but whatever, let's get this in. (if build-doc-pdf is successful and no missing character error)

[kryzar]

Thanks very much @user202729 for the help and many tips. It's nice.

[xcaruso]

Looks like the failures are again not related to the PR.
I give back a positive review. Hope this PR will be merged soon :-)

[kryzar]

Hope this PR will be merged soon :-)

Me too!!!