RealSet: Add option cache=False

[mkoeppe]

When receiving cache=False, this would use an implementation class that does not inherit from UniqueRepresentation to avoid persistence in memory.

Depends on #34277
Depends on #32181

CC: @yuan-zhou @tscrim

Component: basic arithmetic

Branch/Commit: u/mkoeppe/realset__add_option_cache_false @ d25aaac

Issue created by migration from https://trac.sagemath.org/ticket/34278

[mkoeppe]

Branch: u/mkoeppe/realset__add_option_cache_false

[mkoeppe]

comment:2

here's a beginning (untested)

---

Last 10 new commits:

ebd3b77	Better pygments style
73e5aa3	Make white logo transparent to match with furo
523b49a	Merge branch 'u/klee/34252' of git://trac.sagemath.org/sage into t/32181/realset__faster_operations_by_scan_line__merging__techniques
a864fdc	fix typo
3f6a0ac	revive RealSet.normalize
79f2014	revise the docstring of RealSet.is_connected
1ef7dd1	remove unnecessary bool()
a856e5d	Merge #32181
6998c22	Merge #34277
cf5d8f1	src/sage/sets/real_set.py (RealSet_base): New, not UniqueRepresentation

[mkoeppe]

Commit: cf5d8f1

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. This was a forced push. New commits:

c97b9f7	change RealSet(...) constructor to self.__class__(...)
42f4dd6	Use self.__class__.__base__ in methods when constructing a new RealSet
6cf8c27	Merge #34277
6ed8f48	src/sage/sets/real_set.py (RealSet_base): New, not UniqueRepresentation

[sagetrac-git]

Changed commit from cf5d8f1 to 6ed8f48

[mkoeppe]

comment:4

Rebased on new version of #34277

[sagetrac-git]

Changed commit from 6ed8f48 to 9085e2e

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

9085e2e

src/sage/sets/real_set.py: Use self.METHOD, cls.METHOD instead of RealSet.METHOD; use super()

[sagetrac-git]

Changed commit from 9085e2e to 2c87c44

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

2c87c44

src/sage/sets/real_set.py: Make normalize a @classmethod

[sagetrac-git]

Changed commit from 2c87c44 to d6dd265

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

d6dd265

src/sage/sets/real_set.py (RealSet_base.__init__): Check normalized

[sagetrac-git]

Changed commit from d6dd265 to 9f3d0f6

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

56c21b8	src/sage/sets/real_set.py: Use self.METHOD, cls.METHOD instead of RealSet.METHOD; use super() (fixup)
9f3d0f6	src/sage/sets/real_set.py (RealSet): Fix MRO

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

d25aaac

WIP cache=False