Add Manopt to list of solvers

[blegat]

cc @kellertuer @mateuszbaran

Basic

• Check that the solver is a registered Julia package
• Check that the solver supports the long-term support release of Julia
• Check that the solver has a MathOptInterface wrapper
• Check that the tests call MOI.Test.runtests. Some test excludes are
  permissible, but the reason for skipping a particular test should be
  documented.
• Check that the README and/or documentation provides an example of how to
  use the solver with JuMP: https://manoptjl.org/stable/extensions.html#JuMP.jl

Documentation

• Add a new row to the table in docs/src/installation.md

Optional

• Add package metadata to docs/packages.toml

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Comparison is base (b13812d) 98.38% compared to head (af86060) 98.38%.
Report is 3 commits behind head on master.

❗ Current head af86060 differs from pull request most recent head 6130c6f. Consider uploading reports for the commit 6130c6f to get more accurate results

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #3568   +/-   ##
=======================================
  Coverage   98.38%   98.38%           
=======================================
  Files          37       37           
  Lines        5624     5629    +5     
=======================================
+ Hits         5533     5538    +5     
  Misses         91       91           

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[kellertuer]

How does documenter check for the Readme and why is that needed? Currently it looks for

https://raw.githubusercontent.com/JuliaManifolds/Manopt.jl/v0.4.42/README.md

but we left the 80s and the rule to capitalise everything and have

https://raw.githubusercontent.com/JuliaManifolds/Manopt.jl/v0.4.42/Readme.md

[odow]

Preview: https://jump.dev/JuMP.jl/previews/PR3568/packages/Manopt/

I should just find a way to turn vale errors into warnings for external packages.

[kellertuer]

The preview looks nice! Yes, I do not understand which warnings and errors you have there – the first error says, Exclamation marks are not allowed? That is a super strict rule! (Oh! an error ;))

[odow]

We run https://vale.sh with the Google style guide https://github.com/errata-ai/Google.

The typos can be fixed by adding them to the allow-list: https://github.com/jump-dev/JuMP.jl/blob/master/docs/styles/Vocab/JuMP-Vocab/accept.txt

For the exclaimation rule, see https://developers.google.com/style/periods#exclamation-points

[kellertuer]

Quite interesting, will keep that in mind – until now we only run code style tests, but this looks nice as well.

[odow]

Opened a few changes here: JuliaManifolds/Manopt.jl#315