Compute JVP in line searches

[devmotion]

Based on https://github.com/JuliaNLSolvers/NLSolversBase.jl/pull/168 and https://github.com/JuliaNLSolvers/LineSearches.jl/pull/187.

~~The diff would be cleaner if #1195 (which depends on #1209) would be available on the master branch.~~

Based on #1212.

---

Currently, tests are failing due to missing definitions of NLSolversBase.value_jvp! etc. for ManifoldObjective.

[pkofod]

this one also has conflicts for the same reason as the AD pr I suppseo

[pkofod]

I see you're hitting all the wrappers

[codecov[bot]]

Codecov Report

:x: Patch coverage is 86.25954% with 18 lines in your changes missing coverage. Please review. :white_check_mark: Project coverage is 85.94%. Comparing base (540c97b) to head (536eaa9).

Files with missing lines	Patch %	Lines
src/multivariate/solvers/constrained/fminbox.jl	73.33%	8 Missing :warning:
src/api.jl	50.00%	3 Missing :warning:
src/multivariate/solvers/constrained/samin.jl	60.00%	2 Missing :warning:
src/Manifolds.jl	92.30%	1 Missing :warning:
src/multivariate/solvers/first_order/adam.jl	50.00%	1 Missing :warning:
src/multivariate/solvers/first_order/adamax.jl	50.00%	1 Missing :warning:
...ariate/solvers/second_order/newton_trust_region.jl	50.00%	1 Missing :warning:
src/types.jl	75.00%	1 Missing :warning:

Additional details and impacted files

@@            Coverage Diff             @@
##           master    #1210      +/-   ##
==========================================
- Coverage   86.83%   85.94%   -0.89%     
==========================================
  Files          44       43       -1     
  Lines        3540     3487      -53     
==========================================
- Hits         3074     2997      -77     
- Misses        466      490      +24     

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[devmotion]

Locally (macOS aarch64) and on MacOS (aarch64) in CI all tests pass, but on ubuntu and windows 4 tests fail...