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passagemath: Symbolic computation with GIAC

Project description

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 2005-2026 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.

The passagemath fork uses the motto “Creating a Free Passage Between the Scientific Python Ecosystem and Mathematical Software Communities.” It was created in October 2024 with the following goals:

Moreover, the passagemath project:

  • provides a stable, frequently updated version of the Sage distribution,

  • integrates additional mathematical software, notably Macaulay2, a full set of GAP packages, and the Combinatorial Matrix Recognition library,

  • curates a library of Sage user packages.

Full documentation is available online.

passagemath attempts to support and provides binary wheels suitable for all major Linux distributions and recent versions of macOS.

Binary wheels for native Windows (x86_64, ARM) are are available for a subset of the passagemath distributions. Use of the full functionality of passagemath on Windows currently requires the use of Windows Subsystem for Linux (WSL) or virtualization.

The supported Python versions in the passagemath-10.8.x series are 3.11.x-3.14.x; the passagemath-10.6.x series (EOL 2026-10) still supports Python 3.10.x.

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

Examples

A quick way to try it out interactively:

$ pipx run --spec "passagemath-giac[test]" ipython

In [1]: from passagemath_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 --spec "passagemath-giac[test]" sage
Warning: sage.all is not available; this is a limited REPL.

sage: from passagemath_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)

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SHA256 522f6310adabbb5264ea0a86804966c05617c09622603e35657fd770fe13659e
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SHA256 2f96688b2a03737df2e6fab1c3eca437952b9dbd174178dffbe4ae7c4d3c87a8
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SHA256 9b023a2383320847fcace2e734511cfd3485b51ad5a92d989705443985213039
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SHA256 56219f4f0252ef5111272a8c8470d4bd140728cd23f57badd1c80276c7a9d33e
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SHA256 f70571bf19a03538e8cffe38ed12dc1ac5e41fc91cd65ec43db6f33a7d4db27d
MD5 0401c0d89051b6cd8f34efc9438ffc48
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