Change default algorithm for computing homology to 'pari'

[jhpalmieri]

In recent tests, using pari is faster than Sage's current default algorithm for computing homology groups of chain complexes. For example:

sage: %timeit simplicial_complexes.RandomComplex(12, 4).chain_complex().homology(algorithm='auto')
1 loop, best of 3: 7.84 s per loop
sage: %timeit simplicial_complexes.RandomComplex(12, 4).chain_complex().homology(algorithm='pari')
1 loop, best of 3: 1.11 s per loop

So change the default setting for the keyword algorithm from 'auto' to 'pari'.

Depends on #20723

CC: @tscrim

Component: algebraic topology

Keywords: days74

Author: John Palmieri

Branch/Commit: 21516fe

Reviewer: Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/20726

[jhpalmieri]

comment:1

It also appears to be faster to compute the entire chain complex rather than compute a contractible subcomplex and use the relative chain complex. So we should use enlarge=False as the default in the _homology_ method for simplicial complexes.

[jhpalmieri]

comment:2

Okay, it looks like sometimes enlarge=True is faster, sometimes slower. When it's slower, it's not much slower. So we'll leave it as is.

[jhpalmieri]

New commits:

7ff985a	trac 20723: remove most uses of **kwds in sage/homology,
8da379a	add the correct ticket number in call to @rename_keyword
8efbc40	homology computations: use pari by default
4b30dff	pass **kwds to `_homology_` method
3ff9cae	merge with #20723

[jhpalmieri]

Changed keywords from none to days74

[jhpalmieri]

Branch: u/jhpalmieri/homology_pari

[jhpalmieri]

Commit: 3ff9cae

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

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

21516fe

CHomP is optional, not experimental

[7ed8c4ca-6d56-4ae9-953a-41e42b4ed313]

Changed commit from 3ff9cae to 21516fe

[tscrim]

Reviewer: Travis Scrimshaw

[vbraun]

Changed branch from u/jhpalmieri/homology_pari to 21516fe