Modularization of sagelib: Break out separate package sagemath-symbolics

[mkoeppe]

After merging the pynac sources as src/sage/symbolic/ginac (#32386), we are able to create a distribution package sagemath-symbolics, containing the integrated pynac from that ticket and most of

• sage.symbolic,
• sage.calculus,
• sage.functions,
• sage.interfaces (parts),
• sage.rings.asymptotic,
• sage.geometry.hyperbolic_space
• sage.manifolds

There are many parts of Sage that (fortunately!) do not depend at all on Sage symbolics, or only depend on it for some smaller features. For example, sage.graphs has 0 imports from sage.symbolic, sage.combinat just a handful, etc. (Removing unnecessary uses of SR and symbolic functions is done in #32411, #32413, #32415, #32416, ...; refactoring to avoid dependencies via is_... functions and similar is addressed in #32414.)

As of this ticket, sagemath-symbolics will be a subset distribution that is a superset of sagemath-categories (#29865), similar to sagemath-linbox (#31444) and sagemath-polyhedra (#32432). (Later, when the namespace package mechanism is in place, it will become a native namespace package.)

Like sagemath-linbox, also sagemath-symbolics has non-pip-installable dependencies: ecl, maxima, giac, singular (for pynac's use of libfactory)

See also:

• Modularization of sagelib: Break out a separate package sagemath-standard-no-symbolics #32601 Modularization of sagelib: Break out a separate package sagemath-standard-no-symbolics

Depends on #29865
Depends on #32386
Depends on #32637

CC: @dimpase @tscrim @kliem @egourgoulhon

Component: refactoring

Issue created by migration from https://trac.sagemath.org/ticket/31695

[mkoeppe]

Dependencies: #29865, #32386

[mkoeppe]

Changed dependencies from #29865, #32386 to #29865, #32386, #32637