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passagemath: Certified root continuation with sirocco

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

This pip-installable distribution passagemath-sirocco provides a Cython interface to the sirocco library for computing topologically certified root continuation of bivariate polynomials.

What is included

Examples

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

In [1]: from passagemath_sirocco import *

In [2]: from sage.libs.sirocco import contpath

In [3]: pol = list(map(RR,[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]))

In [4]: contpath(2, pol, RR(0), RR(0))
Out[4]:
[(0.0, 0.0, 0.0),
 (0.3535533905932738, -0.12500000000000003, 0.0),
 (0.7071067811865476, -0.5000000000000001, 0.0),
 (1.0, -1.0, 0.0)]

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BLAKE2b-256 4b0b18a871f68e163a2151e0711cb815875f5e22b13c25cb593743d6c2c3843b

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Algorithm Hash digest
SHA256 d096241c9fdb51bc6a1400a022c5343e4f429547c28ed951cb4149c2cdd4c2fe
MD5 dde1c78e06a29a83289433de1de9a53a
BLAKE2b-256 d1e2c8307a4b3e3af752bcc45570c76580c197b7559a3165d48eac96fa4a4d4d

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Algorithm Hash digest
SHA256 eac8563a7ef3fa1b3045318f11962e90699ae2f99bdf02d6aa3b3fa2e5a25ab4
MD5 98452b7b6321e76efdc35dde6df31e66
BLAKE2b-256 228ed10ad298e5934a2297c84cc6981f9d7a9c3836ca4a57a2b2fafef831e2b4

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Algorithm Hash digest
SHA256 b3a2d047bdb44c7142e652fb696bbc8c014a93dd7794c1f2f15f43a9b60d137f
MD5 6b47a7eeb73360c25f2e60ad5f804b01
BLAKE2b-256 2419707cc1d02818816f7235fc0d754f2ba3f188a4e10b035a47654459275f07

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Algorithm Hash digest
SHA256 bee513deb0351ce2ea12e7ceec4646920811b77b16eadd334602aa1d4b8137d6
MD5 c2cf9e85502abc38ece93e3c798a5fae
BLAKE2b-256 43d69f2906b68e0b9fe0e91c52749c2d9b10d23da5d85308b97ad10ef48a192a

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Algorithm Hash digest
SHA256 926841ef1f5073dd114684cc0cc3803b64796d2985b0ffbd94e0ab3e06515732
MD5 741d983949f8655504b1019cd0220307
BLAKE2b-256 1ba350f7254917c5dc4f9c91eeba050abfd2b5ec6d850bc6158061d6f5109243

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Algorithm Hash digest
SHA256 6a1f493c32aa8f179e7df4a13ea723de714c66649d7bafe99d799cfe978fb383
MD5 7a43609ec1bf2205bdcf609a2412721b
BLAKE2b-256 94b3d43928fa6635a567af6b32de28fe5b42ee8e4720ccd0d2743323819c129b

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Algorithm Hash digest
SHA256 f28b065ff932bd7651b58411859c2201607bd9ddf0d0e52ecbd752b633f09065
MD5 ccbfa1688ad44a74f7f52bd9447c1d5c
BLAKE2b-256 239a81a1534643f3b5eeec52e7405901a6e001def4589e583e02898df73112f9

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Algorithm Hash digest
SHA256 8c3527821431c79fe2d700bcca7b7bb29e9f4a5e62e00b2825790330623f9744
MD5 802f5edcb8924e465f6889cfaee3fa36
BLAKE2b-256 4ce24239d3e97b4525ac3f75b6210c869f2670b04d8f043f2c9567f2824f5377

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Algorithm Hash digest
SHA256 44a9fe76bd14dc90333a59f3909ec9739ba868d610ab2f2ef6ce84083a0b1e71
MD5 fef62060613f6dff64c4b079e6917261
BLAKE2b-256 18be057347d79724b23d03b58ab0794df52d0f1ecefb93690e0481940ef08945

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