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passagemath: Symbolic calculus

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

This pip-installable distribution passagemath-symbolics is a distribution of a part of the Sage Library. It provides a small subset of the modules of the Sage library (“sagelib”, passagemath-standard).

What is included

Examples

Using SageManifolds:

$ pipx run --spec "passagemath-symbolics[maxima,test]" ipython

In [1]: from passagemath_symbolics import *

In [2]: M = Manifold(4, 'M', structure='Lorentzian'); M
Out[2]: 4-dimensional Lorentzian manifold M

In [3]: X = M.chart(r"t r:(0,+oo) th:(0,pi):\theta ph:(0,2*pi):\phi")

In [4]: t,r,th,ph = X[:]; m = var('m'); assume(m>=0)

In [5]: g = M.metric(); g[0,0] = -(1-2*m/r); g[1,1] = 1/(1-2*m/r); g[2,2] = r**2; g[3,3] = (r*sin(th))**2; g.display()
Out[5]: g = (2*m/r - 1) dt⊗dt - 1/(2*m/r - 1) dr⊗dr + r^2 dth⊗dth + r^2*sin(th)^2 dph⊗dph

In [6]: g.christoffel_symbols_display()
Out[6]:
Gam^t_t,r = -m/(2*m*r - r^2)
Gam^r_t,t = -(2*m^2 - m*r)/r^3
Gam^r_r,r = m/(2*m*r - r^2)
Gam^r_th,th = 2*m - r
Gam^r_ph,ph = (2*m - r)*sin(th)^2
Gam^th_r,th = 1/r
Gam^th_ph,ph = -cos(th)*sin(th)
Gam^ph_r,ph = 1/r
Gam^ph_th,ph = cos(th)/sin(th)

Available as extras, from other distributions

pip install "passagemath-symbolics[fricas]"

Computer algebra system FriCAS, via passagemath-fricas

pip install "passagemath-symbolics[giac]"

Computer algebra system Giac, via passagemath-giac

pip install "passagemath-symbolics[mathics3]"

Computer algebra system Mathics3

pip install "passagemath-symbolics[maxima]"

Computer algebra system Maxima via passagemath-maxima

pip install "passagemath-symbolics[primecount]"

Prime counting function implementation primecount, via primecountpy

pip install "passagemath-symbolics[singular]"

Computer algebra system Singular via passagemath-singular

pip install "passagemath-symbolics[sympy]"

Python library for symbolic mathematics / computer algebra system SymPy

pip install "passagemath-symbolics[tides]"

High-precision integration of ODEs with TIDES via passagemath-tides

pip install "passagemath-symbolics[standard]"

All libraries for symbolics that are included in a standard installation of Sage: Maxima, primecount, Singular

pip install "passagemath-symbolics[plot]"

Plotting facilities

Metadata

Release files for passagemath-symbolics 10.8.13

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for passagemath-symbolics 10.8.13
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passagemath_symbolics-10.8.13.tar.gz 1.6 MB Details

Built distributions (wheels)

Table of built distributions (wheels) for passagemath-symbolics 10.8.13
File
passagemath_symbolics-10.8.13-cp314-cp314t-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-64 Details
passagemath_symbolics-10.8.13-cp314-cp314t-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARM64 Details
passagemath_symbolics-10.8.13-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details
passagemath_symbolics-10.8.13-cp314-cp314t-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.27+ ARM64, Linux glibc 2.28+ ARM64 Details
passagemath_symbolics-10.8.13-cp314-cp314t-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ x86-64 Details
passagemath_symbolics-10.8.13-cp314-cp314t-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ ARM64 Details
passagemath_symbolics-10.8.13-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details
passagemath_symbolics-10.8.13-cp314-cp314-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ ARM64 Details
passagemath_symbolics-10.8.13-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details
passagemath_symbolics-10.8.13-cp314-cp314-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 Linux glibc 2.27+ ARM64, Linux glibc 2.28+ ARM64 Details
passagemath_symbolics-10.8.13-cp314-cp314-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 macOS 13.0+ x86-64 Details
passagemath_symbolics-10.8.13-cp314-cp314-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 macOS 13.0+ ARM64 Details
passagemath_symbolics-10.8.13-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details
passagemath_symbolics-10.8.13-cp313-cp313-musllinux_1_2_aarch64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ ARM64 Details
passagemath_symbolics-10.8.13-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details
passagemath_symbolics-10.8.13-cp313-cp313-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.13 CPython 3.13 Linux glibc 2.27+ ARM64, Linux glibc 2.28+ ARM64 Details
passagemath_symbolics-10.8.13-cp313-cp313-macosx_13_0_x86_64.whl CPython 3.13 CPython 3.13 macOS 13.0+ x86-64 Details
passagemath_symbolics-10.8.13-cp313-cp313-macosx_13_0_arm64.whl CPython 3.13 CPython 3.13 macOS 13.0+ ARM64 Details
passagemath_symbolics-10.8.13-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details
passagemath_symbolics-10.8.13-cp312-cp312-musllinux_1_2_aarch64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ ARM64 Details
passagemath_symbolics-10.8.13-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details
passagemath_symbolics-10.8.13-cp312-cp312-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.12 CPython 3.12 Linux glibc 2.27+ ARM64, Linux glibc 2.28+ ARM64 Details
passagemath_symbolics-10.8.13-cp312-cp312-macosx_13_0_x86_64.whl CPython 3.12 CPython 3.12 macOS 13.0+ x86-64 Details
passagemath_symbolics-10.8.13-cp312-cp312-macosx_13_0_arm64.whl CPython 3.12 CPython 3.12 macOS 13.0+ ARM64 Details
passagemath_symbolics-10.8.13-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details
passagemath_symbolics-10.8.13-cp311-cp311-musllinux_1_2_aarch64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ ARM64 Details
passagemath_symbolics-10.8.13-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details
passagemath_symbolics-10.8.13-cp311-cp311-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.11 CPython 3.11 Linux glibc 2.27+ ARM64, Linux glibc 2.28+ ARM64 Details
passagemath_symbolics-10.8.13-cp311-cp311-macosx_13_0_x86_64.whl CPython 3.11 CPython 3.11 macOS 13.0+ x86-64 Details
passagemath_symbolics-10.8.13-cp311-cp311-macosx_13_0_arm64.whl CPython 3.11 CPython 3.11 macOS 13.0+ ARM64 Details

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