Sage 9.1 Release Tour

in progress (2020)

Python 3 transition

SageMath 9.0 was the first version of Sage running on Python 3 by default. Sage 9.1 continues to support Python 2.

See Python3-Switch for more details

SageMath 9.1 now supports underscored numbers PEP 515 (py3), the fix was done in Trac #28490 thanks to Thierry Monteil, Vincent Delecroix and John Palmieri:

sage: 1_000_000 + 3_000
1003000

Portability improvements, increased use of system packages

The SageMath distribution continues to vendor versions of required software packages ("SPKGs") that work well together.

In order to reduce compilation times and the size of the Sage installation, a development effort ongoing since the 8.x release series has made it possible to use many system packages provided by the OS distribution instead of building SageMath's own copies.

This so-called "spkg-configure" mechanism runs at the beginning of a build from source, during the ./configure phase.

(See the sage-devel threads "Brainstorming about Sage dependencies from system packages" (May 2017) and "conditionalise installation of many spkg's?" (Nov 2017) for its origins and Trac #24919 for its initial implementation.)

Sage 9.1 is adding many packages to this mechanism, including openblas, gsl, r, boost, libatomic, cddlib, tachyon, nauty, sqlite, planarity, fplll, brial, flintqs, ppl, libbraiding, cbc, gfan, and python3. As to the latter, SageMath will now make use of a suitable installation of Python 3.7.x in your system by setting up a venv (Python 3 virtual environment).

New in Sage 9.1 is also a database of system packages equivalent to our SPKGs. At the end of a ./configure run, you will see messages like the following:

  configure: notice: the following SPKGs did not find equivalent system packages: arb boost boost_cropped bzip2 ... yasm zeromq zlib
  checking for the package system in use... debian
  configure: hint: installing the following system packages is recommended and may avoid building some of the above SPKGs from source:
  configure:   $ sudo apt-get install libflint-arb-dev ... yasm libzmq3-dev libz-dev
  configure: After installation, re-run configure using:
  configure:   $ ./config.status --recheck && ./config.status

We also use the same database to update our installation manual automatically.

For developers

For developers who wish to help improve the portability of SageMath, there is a new power tool: A tox configuration that automatically builds and tests Sage within Docker containers running various Linux distributions (ubuntu-trusty through -focal, debian-jessie through -sid, linuxmint-17 through -19.3, fedora-26 through -32, centos-7 and -8, archlinux, slackware-14.2), each in several configurations regarding what system packages are installed. Thus, it is no longer necessary for developers to have access to a machine running fedora-29, say, to verify whether the Sage distribution works there; instead, you just type:

  tox -e docker-fedora-29-standard -- build ptest

The Dockerfiles are generated automatically by using the same database of system packages that provides information to users. See the new section on "portability testing" in the Developer's Guide for details.

An entry point for developers who wish to improve the testing infrastructure is the Meta-Ticket #29060: Add Dockerfiles and CI scripts for integration testing. See also the broader Meta-Meta-Ticket #29133.

For packagers

Although we now have continuous integration environments for testing the interaction of the Sage distribution with most major Linux distributions, we are still missing a few. Adding them will enable all Sage developers to check that their changes do not break things on your distribution.

Package updates

We have only made minor updates to standard packages:

• dateutil - 2.8.1 (from 2.5.3)
• fplll - 5.3.2 (from 5.2.1)
• fpylll - 0.5.1.dev (from 0.4.1dev)
• freetype - 2.10.1
• m4ri - 20200115
• m4rie - 20200115
• ntl - 11.4.3 (from 11.3.2)
• numpy - 1.16.6
• openblas - 0.3.9
• pkgconfig - 1.5.1 (from 1.4.0)
• pyzmq - 19.0.0 (from 18.1)
• sage_brial - 1.2.5 (this is the python module of the brial package)
• sympy - 1.5 (from 1.4)
• traitlets - 4.3.3

We expect to make larger package updates in the 9.2 release.

For developers

Preparing and testing package updates has become easier. The new optional field upstream_url in checksums.ini holds an URL to the upstream package archive, see for example build/pkgs/numpy/checksums.ini. Note that, like the tarball field, the upstream_url is a template; the word VERSION is substituted with the actual version. The package can be updated by simply typing ./sage -package -update numpy 3.14.59; this will automatically download the archive and update the build/pkgs/ information.

Developers who wish to test a package update from a Trac branch before the archive is available on a Sage mirror can do so by configuring their Sage tree using ./configure --enable-download-from-upstream-url.

Polyhedral Geometry

There is now a catalog for common polyhedral cones, e.g.

sage: cones.nonnegative_orthant(5)
5-d cone in 5-d lattice N

New features for polyhedra:

sage: P = polytopes.cube(intervals='zero_one') # obtain others than the standard cube
sage: P = matrix([[0,1,0],[0,1,1],[1,0,0]])*P  # linear transformations
sage: it = P.face_generator()                  # a (fast and efficient) face generator
sage: next(it)
A 3-dimensional face of a Polyhedron in ZZ^3 defined as the convex hull of 8 vertices
sage: next(it)
A -1-dimensional face of a Polyhedron in ZZ^3
sage: f = next(it)
sage: f.normal_cone()                          # normal cone for faces
A 1-dimensional polyhedron in ZZ^3 defined as the convex hull of 1 vertex and 1 ray
sage: P.an_affine_basis()                      # an_affine_basis and a_maximal_chain
[A vertex at (0, 0, 0),
 A vertex at (1, 1, 0),
 A vertex at (0, 0, 1),
 A vertex at (0, 1, 0)]
sage: P = polytopes.hypercube(4)
sage: P.flag_f_vector(0,3)                     # flag_f_vector is exposed
64

Regarding the optional package normaliz there are some news as well:

sage: P = polytopes.cube(intervals=[[0,1],[0,2],[0,3]], backend='normaliz')
sage: save(P, '/tmp/this_takes_very_long_so_we_save_it')   # saving works now
sage: sage: P.h_star_vector()                              # compute the h_star_vector with normaliz
[1, 20, 15]

There are also some bug fixes and other improvements. For more details see the release notes for optimization and polyhedral geometry softwares interactions in Sage.

Improvements in the three.js 3D viewer

Three.js has become the default 3D viewer in SageMath 9.0. In this release, some improvements have been performed:

• bug fixes: plot of vectors (Trac ticket #29206), plot of a single text (#29227), method plot3d transforming a 2D object into a 3D one (#29251)

• code cleanup to prepare for camera viewpoint option (#29250)

Integral curves over finite fields

A dream has come true! The integral curves over finite fields are now attached with the global function field machinery of Sage. This is a short tour:

sage: A.<x,y> = AffineSpace(GF(16),2)
sage: C = Curve(y^3 + x^3*y + x); C  # Klein quartic
Affine Plane Curve over Finite Field in z4 of size 2^4 defined by x^3*y + y^3 + x
sage: C.function_field()
Function field in y defined by y^3 + x^3*y + x
sage: C.genus()
3
sage: C.closed_points()
[Point (x, y),
 Point (x + (z4), y + (z4^3 + z4^2)),
 Point (x + (z4^2), y + (z4^3 + z4^2 + z4 + 1)),
 Point (x + (z4^3), y + (z4^2 + z4)),
 Point (x + (z4 + 1), y + (z4^3 + z4)),
 Point (x + (z4^2 + z4), y + (z4^2 + z4 + 1)),
 Point (x + (z4^2 + z4), y + (z4^3 + 1)),
 Point (x + (z4^2 + z4), y + (z4^3 + z4^2 + z4)),
 Point (x + (z4^3 + z4^2), y + (z4^2 + z4 + 1)),
 Point (x + (z4^2 + 1), y + (z4^3)),
 Point (x + (z4^3 + z4), y + (z4^2 + z4 + 1)),
 Point (x + (z4^2 + z4 + 1), y + (z4^2 + z4)),
 Point (x + (z4^2 + z4 + 1), y + (z4^3 + z4 + 1)),
 Point (x + (z4^2 + z4 + 1), y + (z4^3 + z4^2 + 1)),
 Point (x + (z4^3 + z4^2 + z4 + 1), y + (z4^2 + z4))]
sage: p1, p2 = _[:2]
sage: P1 = p1.place()
sage: P2 = p2.place()
sage: D = 5 * P1 - P2
sage: D.basis_function_space()  # Riemann-Roch space
[(x + z4)/x, 1/x^2*y + (z4^2 + z4)/x]
sage: D.dimension()
2
sage: f1, f2 = D.basis_function_space()
[(x + z4)/x, 1/x^2*y + (z4^2 + z4)/x]
sage: f1.zeros()
[Place (x + z4, y^2 + (z4^3 + z4^2)*y + z4^2 + z4 + 1),
 Place (x + z4, y + z4^3 + z4^2)]
sage: Q1, Q2 = _
sage: q1 = C.place_to_closed_point(Q1); q1
Point (y^2 + (z4^3 + z4^2)*y + (z4^2 + z4 + 1), x + (z4))
sage: q1.degree()
2
sage: q1 = C.place_to_closed_point(Q1); q1
Point (y^2 + (z4^3 + z4^2)*y + (z4^2 + z4 + 1), x + (z4))    
sage: q1.degree()
2
sage: q2 = C.place_to_closed_point(Q2)
sage: q2.degree()
1
sage: q2.rational_point()
(z4, z4^3 + z4^2)
sage: _ in C
True

Ariki-Koike algebras

An Ariki-Koike algebra (aka cyclotomic Hecke algebra) is a generalization of the Iwahori-Hecke algebra to the complex reflection group G(r,1,n) instead of a Coxeter group.

Configuration changes

Easier installation of optional linear and mixed integer linear optimization backends

It is no longer necessary to recompile sagelib if you wish to use one of the state-of-the-art LP/MIP solvers COIN-OR CBC, CPLEX, or Gurobi, instead of the default (GLPK). The simplified new installation procedure is explained in the Thematic Tutorial on Linear Programming.

(If you cannot update to 9.1 just yet, you can retroactively get the same feature in your installation of Sage too by pip-installing one of the packages sage-numerical-backends-cplex, sage-numerical-backends-coin, sage-numerical-backends-gurobi.)

New way to install optional and experimental packages

It is now possible to use ./configure options to request the installation of optional and experimental packages at the next run of make. For example, type

    $ ./configure --enable-4ti2 --enable-lrslib

to request these two packages to be installed. Check ./configure --help for a list of all options. (The traditional way of installing optional packages, sage -i, still works.)

Likewise, optional and experimental packages can be requested to be uninstalled at the next run of make by using --disable-SPKG options.

For developers and packagers

Happy news! The configuration file

• src/bin/sage-env-config (installed as $SAGE_LOCAL/bin/sage-env-config)

(introduced 4 years ago in Trac #21479) finally has some company. Two new configuration files, also generated by the Sage distribution's ./configure script, are taking over some of its duties.

• build/bin/sage-build-env-config (not installed) provides configuration variables that are used only while building packages.

• build/pkgs/sage_conf/src/sage_conf.py (installed as Python module sage_conf) provides configuration variables that are needed by the Sage library runtime, but are not needed in the form of environment variables. (They are available to the Sage library even when it is imported into a Python running outside of the environment set up by sage-env.)

See Meta-ticket #21707: Split sage-env into 5 to clean up sage configuration for details and planned future work.

Availability of Sage 9.1 and installation help

Sage 9.1 has not been released yet. See sage-release for announcements of beta versions and release candidates.

Availability in distributions

(TBD)

Installation FAQ

See sage-release, sage-devel.

More details

• Trac tickets with milestone 9.1