passagemath-giac 10.5.45

passagemath: Symbolic computation with GIAC

passagemath is open source mathematical software in Python, released under the GNU General Public Licence GPLv2+.

It is a fork of SageMath, which has been developed 2005-2025 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.

The passagemath fork was created in October 2024 with the following goals:

• providing modularized installation with pip, thus completing a major project started in 2020 in the Sage codebase,

• establishing first-class membership in the scientific Python ecosystem,

• giving clear attribution of upstream projects,

• providing independently usable Python interfaces to upstream libraries,

• providing platform portability and integration testing services to upstream projects,

• inviting collaborations with upstream projects,

• building a professional, respectful, inclusive community,

• developing a port to Pyodide for serverless deployment with Javascript,

• developing a native Windows port.

Full documentation is available online.

passagemath attempts to support all major Linux distributions and recent versions of macOS. Use on Windows currently requires the use of Windows Subsystem for Linux or virtualization.

Complete sets of binary wheels are provided on PyPI for Python versions 3.9.x-3.12.x. Python 3.13.x is also supported, but some third-party packages are still missing wheels, so compilation from source is triggered for those.

About this pip-installable distribution package

Giac/Xcas is a general purpose Computer algebra system by Bernard Parisse released under GPLv3. It has been developed since 2000 and is widely used: Giac/Xcas is the native CAS engine of the HP Prime calculators; the C++ kernel of the system, Giac, provides the CAS view of Geogebra.

This pip-installable source distribution passagemath-giac makes Giac available from Python and provides integration with the Sage Mathematical Software System.

What is included

• Cython interface to GIAC

  The Cython interface is by Frederic Han and was previously available under the name giacpy-sage. It was merged into the Sage library in 2020.

• Pexpect interface to GIAC

• see https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-giac/MANIFEST.in

• The binary wheels on PyPI ship a prebuilt copy of the Giac library.

Examples

A quick way to try it out interactively:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-giac[test]" ipython

In [1]: from sage.all__sagemath_giac import *

In [2]: x = libgiac('x')

In [3]: V = [[x[i]**j for i in range(8)] for j in range(8)]

In [4]: libgiac(V).dim()
Out[4]: [8,8]

In [5]: libgiac.det_minor(V).factor()
Out[5]: (x[6]-(x[7]))*(x[5]-(x[7]))*(x[5]-(x[6]))*(x[4]-(x[7]))*(x[4]-(x[6]))*(x[4]-(x[5]))*(x[3]-(x[7]))*(x[3]-(x[6]))*(x[3]-(x[5]))*(x[3]-(x[4]))*(x[2]-(x[7]))*(x[2]-(x[6]))*(x[2]-(x[5]))*(x[2]-(x[4]))*(x[2]-(x[3]))*(x[1]-(x[7]))*(x[1]-(x[6]))*(x[1]-(x[5]))*(x[1]-(x[4]))*(x[1]-(x[3]))*(x[1]-(x[2]))*(x[0]-(x[7]))*(x[0]-(x[6]))*(x[0]-(x[5]))*(x[0]-(x[4]))*(x[0]-(x[3]))*(x[0]-(x[2]))*(x[0]-(x[1]))

In [6]: (x+5)**(1/3)        # note here 1/3 is done in Python before being sent to Giac
Out[6]: (x+5)^0.333333333333

In [7]: (x+5)**QQ('1/3')    # using Sage rationals
Out[7]: (x+5)^(1/3)

In [8]: from fractions import Fraction  # using Python rationals

In [9]: (x+5)**Fraction(1,3)
Out[9]: (x+5)^(1/3)

The last example again, using the Sage REPL:

$ pipx run --pip-args="--prefer-binary" --spec "passagemath-giac[test]" sage
Warning: sage.all is not available; this is a limited REPL.

sage: from sage.all__sagemath_giac import *

sage: x = libgiac('x')

sage: (x+5)^(1/3)           # the Sage preparser translates this to (x+5)**QQ('1/3')
(x+5)^(1/3)