Update Functions.py

[apalarcon]

I have added the functions for the plotting _cases.py script. Note that I didn't overwrite the changes from #72.

[duetschm]

Thanks for this! It works for me except for the global case, but now there is actually a lot of duplicate code in Functions.py. I think this needs to be cleaned up before merging.

A few other comments:

• The base directory (where the results are stored) should ideally be defined only once and then passed to the functions. Now I had to change it manually in the functions to make it work.
• I think it would be better to compute the means and standard deviations outside of the plotting loop, so that we could also skip the plotting of the separate cases if we only want the global map.
• There is a mixture of white spaces and tabs in Functions.py which is not ideal. I would stick with one type of indentation (personally I favor white spaces).
• For me the global map shows only the Australia case because the low values cover everything. It might be related to how nan values are plotted. Maybe this depends on the version of cartopy/matplotlib/xarray?

[Peter9192]

• There is a mixture of white spaces and tabs in Functions.py which is not ideal. I would stick with one type of indentation (personally I favor white spaces).

The best practice is to use whitespace indeed (see the Python Style guide). It is quite useful to use an automatic code formatter like ruff or black. If we all agree to use ruff, this would also help to keep commits and pull requests free of formatting changes, so we can focus on the code that changed.

[Peter9192]

I took the liberty to run ruff and commit the changes to this branch. You can see that the diff is quite big, this is because ruff applies many formatting rules at once.