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New version: Manifolds v0.10.13 #124684

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## Changed

* Bumped dependency of ManifoldsBase.jl to 1.0, split `exp` into `exp` (without optional argument `t`) and `exp_fused` (with argument `t`) and similarly `retract` to `retract` and `retract_fused`.
* ManifoldsBase.jl 1.0 also moved from `TVector` to `TangentVector`s in type names.
  The following names are adapted
  * Renamed `HyperboloidTVector` (now deprecated) to `HyperboloidTangentVector`
  * Renamed `OrthogonalTVector` (now deprecated) to `OrthogonalTangentVector`
  * Renamed `PoincareBallTVector` (now deprecated) to `PoincareBallTangentVector`
  * Renamed `PoincareHalfSpaceTVector` (now deprecated) to `PoincareHalfSpaceTangentVector`
  * Renamed `ProjectorTVector` (now deprecated) to `ProjectorTangentVector`
  * Renamed `StiefelTVector` (now deprecated) to `StiefelTangentVector`
  * Renamed `TuckerTVector` (now deprecated) to `TuckerTangentVector`
  * Renamed `UMVTVector` (now deprecated) to `UMVTangentVector`
* The internal access `array_value` is now called `internal_value`, compare to its renaming in `ManifoldsBase`

UUID: 1cead3c2-87b3-11e9-0ccd-23c62b72b94e
Repo: https://github.com/JuliaManifolds/Manifolds.jl.git
Tree: bbf24dbe7940496e63f000186e91101b453b8678

Registrator tree SHA: 17aec322677d9b81cdd6b9b9236b09a3f1374c6a
JuliaRegistrator referenced this pull request in JuliaManifolds/Manifolds.jl Feb 10, 2025
* Adapt new function names and naming scheme.
* Already remove two fallbacks on hat, that cause ambiguities on Groups.
* mostly convert to retraction_fused
* Adapt to removal of the _along methods.
* more retraction fixes
* fix ODE retraction
* nicer compat.
* rename exp_t -> exp_fused
* Fix most fused cases.
* fix a test.
* Fix two tests in SE(n) for hat/hat! where we checked they would not work but now they actually do work
* Fix sasaki.
* Fix connection.
* Don't export the fused variants.
* Fix two further tests.
* Add deprecation bindings, test and document them.
* Fix a typo.
* Fix compat entries in docs and tutorials.
* bump ambiguities.
* this method is not needed
* Towards code cov.
* add a few tests towards code coverage.
* Add references.
* Remove old code, that is no longer necessary, since we are on 1.10 at least & code cov.

---------

Co-authored-by: Mateusz Baran <[email protected]>
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@JuliaTagBot JuliaTagBot merged commit b5e0ff8 into master Feb 10, 2025
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@JuliaTagBot JuliaTagBot deleted the registrator-manifolds-1cead3c2-v0.10.13-981d31b13b branch February 10, 2025 10:41
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