Move RecursivelyEnumeratedSet_forest code to sage/sets/recursively_enumerated_set.pyx, remove deprecated classes SearchForest, TransitiveIdeal, TransitiveIdealGraded

[seblabbe]

Move the code of SearchForest from sage/combinat/backtrack.py to sage/sets/recursively_enumerated_set.pyx into a class named RecursivelyEnumeratedSet_forest.

This is a follow up of #6637.

CC: @tscrim @slel

Component: combinatorics

Author: Matthias Koeppe

Branch: 908acba

Reviewer: Vincent Delecroix

Issue created by migration from https://trac.sagemath.org/ticket/16351

[hivert]

Branch: u/hivert/move_searchforest_code_to_sage_sets_recursively_enumerated_set_pyx

[hivert]

Commit: 2effaf7

[hivert]

comment:3

I just added some old doc from Nathann and myself which is worth being integrated when cleaning this up.

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Last 10 new commits:

7a33037	Work in progress on the DOC
168ceae	Added architecture picture for map_reduce
366fc17	More Doc
6c12752	Tested timeout option
493bb52	Done the doc of Map/Reduce
2534f12	Moved map/reduce to sage/parallel
e5b7477	Merge 6.10.rc1 + fixed conflict
82fd1e4	Fixed links according to deprecation/rebase
68b6530	Removed TODO in doc
2effaf7	Revert "Removed TODO in doc"

[tscrim]

Dependencies: #13580

[tscrim]

comment:4

I would like to squeeze out some more speed of the SearchForest code, so I'm interested in this. I made #13580 a dependency since that is likely a lot closer than this is to getting into Sage. If you disagree, then we can reverse the order of the dependencies and I'd do the review once this is ready.

[seblabbe]

comment:5

The actual branch contains many commits from the #13580, so I can't see what is the goal of the branch put here and how it is related to this ticket.

[sagetrac-git]

Changed commit from 2effaf7 to 1bf8c97