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Make DefaultStable and DefaultUnstable dispatchable and display witho…
…ut internals (#56661) Previously, `DEFAULT_STABLE` was a giant chain of algorithms reflecting the full sorting dispatch system. Now, it's simply `DefaultStable()`. This has a few minor impacts: Previously, the public binding `Base.Sort.DEFAULT_STABLE` documented non-public implementation details of sorting dispatch in its extended help with a caviat that they are internal. Now, `Base.Sort.DEFAULT_STABLE` refers to the non-public binding `Base.Sort.DefaultStable` and implementation details are documented there with a warning that they are non-public. Previously, dispatching on `Base.Sort.DEFAULT_STABLE` required writing `::typeof(Base.Sort.DEFAULT_STABLE)` whereas now one could alternatively dispatch on the (internal) type `Base.Sort.DefaultStable`. Previously `Base.Sort.DEFAULT_STABLE === Base.Sort.DEFAULT_UNSTABLE` so when writing sorting algorithms for custom collections it was impossible to determine if the user asked for a stable algorithm. Now `DEFAULT_STABLE` is `DefaultStable()` and `DEFAULT_UNSTABLE` is `DefaultUnstable()`. Both the algorithms expand to the same large chain of algorithms `_DEFAULT_ALGORITHMS_FOR_VECTORS` but it is possible to intercept them before that happens. `Base.Sort.DEFAULT_STABLE` now prints as `DefaultStable()` instead of ```julia-repl julia> Base.Sort.DEFAULT_STABLE Base.Sort.SubArrayOptimization( Base.Sort.MissingOptimization( Base.Sort.BoolOptimization( Base.Sort.Small{10}( Base.Sort.InsertionSortAlg(), Base.Sort.IEEEFloatOptimization( Base.Sort.IsUIntMappable( Base.Sort.Small{40}( Base.Sort.InsertionSortAlg(), Base.Sort.CheckSorted( Base.Sort.ComputeExtrema( Base.Sort.ConsiderCountingSort( Base.Sort.CountingSort(), Base.Sort.ConsiderRadixSort( Base.Sort.RadixSort(), Base.Sort.Small{80}( Base.Sort.InsertionSortAlg(), Base.Sort.ScratchQuickSort(missing, missing, Base.Sort.InsertionSortAlg()))))))), Base.Sort.StableCheckSorted( Base.Sort.ScratchQuickSort(missing, missing, Base.Sort.InsertionSortAlg())))))))) ``` Factored out of #54494 at Triage's request (the git history reflects this history). --------- Co-authored-by: Lars Göttgens <[email protected]>
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