Along the same lines as #30859 for Debian,
this is for several purposes:

• test proper isolation of our build (i.e., the presence of unused system packages does not break our build) using tox -e ...-maximal
• reveal errors such as Allow using arb, flint and ntl from Homebrew #30745 (homebrew: Errors when homebrew's ntl, flint, or ecl are installed in /usr/local), homebrew: Unused packages (singular, pari, ...) in /usr/local leak into build when using homebrew's python3 #31132
• test sagelib without Sage-the-distribution (similar to Add SAGE_ROOT/environment.yml for "conda env create -f". #28745/Fixes for the conda-for-Sage-developers installation method, add GH Actions workflow #30845 for conda)
• prepare for tickets that will add spkg-configure.m4

(see also #29146)

(from #30371)

Related:

• Meta-ticket: spkg-configure: Try to use as many system packages as possible #27330: Meta-ticket: Use all system packages we can
• System package information for MacPorts #30504: Add MacPorts package information

This ticket does not cover Homebrew packages available via taps.

Interested users can install GAP, Macaulay2 and Polymake as follows:

$ brew tap gap-system/gap
$ brew install gap

$ brew tap macaulay2/tap
$ brew install macaulay2

$ brew tap apaffenholz/polymake
$ brew install polymake

Depends on #29124

CC: @tobiasdiez @slel @dimpase @jhpalmieri

Component: build: configure

Keywords: homebrew, spkg-configure.m4, macos

Author: Samuel Lelièvre, Matthias Koeppe

Branch/Commit: c2b36c7

Reviewer: Matthias Koeppe, Samuel Lelièvre

Issue created by migration from https://trac.sagemath.org/ticket/30861