yuck | Umbrella Command Kit , a bog-standard command line option | Parser library

The big.Float type has a .Sqrt(x) operation, and handles defining explicitly the precision you aim for. I'd try to use that and convert the result back to a Rat with the same operations in your question, only manipulating big.Int values.

I would recommend having a thorough read of this section of the documentation.

https://docs.djangoproject.com/en/4.0/ref/models/options/#django.db.models.Options.managed

It explains the managed option with a good amount of detail.

Also, when it comes to connecting to a different database, you can set up as many database connections as you like, specifying them in your settings.py file.

The way most if not all sql servers work is by TCP or sockets. I would recommend sockets where possible, however, because you need to connect to a remote server, its more than likely easier to connect via TCP.

Knowing that you can punch in, any IP address, port, username, password, etc. And be able to connect to a server at that address which is hosting a sql server, well, thats a matter of knowing the relevant connection information and then telling django about it. As an example:

Pandas actually has a function import_optional_dependency which may make a good example (link GitHub) as used in SQLAlchemyEngine (link GitHub)

However, this is only used during class __init__ to get a meaningful error (raise ImportError(...) by default!) or warn about absence or old dependencies (which is likely a more practical use of it, as older or newer dependencies may import correctly anywhere if they exist, but not work or be explicitly tested against or even be an accidental local import)

I'd consider doing similarly, and either not bother to have special handling or only do it in the __init__ (and then perhaps only for a few cases where you're interested in the version, etc.) and otherwise simply import where needed

However, I can't use breaks, e.g. > or | since that will include spaces in the end result, and the code will error.

That is actually only an half true statement.
You can combine it with the whitespace control mechanism of Jinja to remove those unneeded whitespaces.

Basically, adding a dash to the opening or the closing of an expression blocks do trim the extraneous whitespace or carriage return before or after it.

Given:

Simply use smaller functions to extract that logic and override it, similar approaches with overriding function through inheritance for changing logic, is used by Laravel on Models see getRouteKey() for example.

In your BaseController.php, i would split it up like so.

You can use the set_z_index method to set the z_index property of the parallelogram to a value less than that of the arrows.

Here I have set it to a lower value than that of v1:

You don't really need to use .reduce for this, since it's really not much simpler than just using a plain-old for loop. Here's an implementation that I wrote using a for loop, but it can probably be written using .reduce as well, if you wish.

you might do:

If you know the page indexes in advance and you have a rule to generate it.