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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 0941e80f89ea89c979e91bbe3f6e6ba20c566f790e0bb69da09a0ab921b88fb1
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SHA256 43f26b518b8c402cf3ac6f7ba8a2ed416084416b98eef9aac19aa1063607e47a
MD5 97a9007760db7d83473621bdb4c236e6
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SHA256 854540467776079112dc868d67b8f44b765963ce70696bf282e06d5fcc713f5c
MD5 0c4c1e8dbc4192c76a60e4813eb97012
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SHA256 52af98ff342f3299e53e80dac0b53fa0d630d51fc98dae2665dfe1e4ebb7267f
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SHA256 d098dad22b5373d3fac1b4215d38d2542668bfdc4594754b7266aae7a5c6b527
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SHA256 966f3fe22f5bb3a72ec866d0a127abc8269304eb4cf0273b2c3e02d58bf5e276
MD5 3a8ec7ea3a5b5f650e5657edcd831d6f
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SHA256 2d443d2208d2eaa8b8d096ae5ed353636e84c4e00de529fec0d70c9e062c4578
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SHA256 6e141858feb030a3cc794564f49a000d5f220862dc55e366c943456d87e09e70
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SHA256 3641d4167bab5c4e4ee4e43081c14d924eeb0fa9a9d197a94f7e695414fcab8e
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SHA256 a9f454f5af86a8ca4bfe32571fc1c8f363b9ade857ca10dd8b1420d2e8a34cf6
MD5 fc3def70e950926298c6da93cd3b340b
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SHA256 6151b8ce9c4d989d69572bee0e0546c8062bb40dcb7269dcd314565932bb055e
MD5 a8f4b45c7202dada9c42fd7881f28880
BLAKE2b-256 570cf93696a7f8033bfb42ab1674e6e41d68177e2bb5ace4f20bdc502bbc39c7

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