QPA for Rust

This repository is a source-faithful Rust port of the GAP package QPA (Quivers and Path Algebras). QPA's GAP methods are the computational specification; the GBNP and GAP sources are specifications wherever QPA delegates to them.

The Rust port is complete for the initial exact coefficient contract. All 1,839 declarations and installed implementations extracted from the pinned QPA source are mapped to verified public Rust behavior, including explicit typed boundaries for declarations on which QPA itself installs no method. The PyO3/maturin binding exposes the complete audited Rust surface. Its generated ledger groups all 1,839 source entries into 888 QPA names: 883 are callable from Python, two are represented directly by Python types, and three are explicit unavailable boundaries for which pinned QPA itself installs no callable method. No operation remains planned or partially exposed.

The exact coefficient contract uses Numerica for rational and prime fields and a local Numerica-compatible GaloisField for GF(p^n). Canonical extensions use the pinned GAP Conway data and construction semantics; QPA remains the algorithmic specification above the coefficient layer.

Python quick start

The distribution is named qpa-rust and the import package is named qpa. Prebuilt wheels are published on PyPI for Linux, macOS, and Windows on Python 3.10 through 3.13, so no Rust toolchain is needed:

uv add qpa-rust

or, with pip, pip install qpa-rust. To build the current development source instead, add the Git repository or a local clone:

uv add "qpa-rust @ git+https://github.com/haruhisa-enomoto/qpa-rust"
uv add --editable /path/to/qpa-rust

Then run an exact computation through the Rust extension:

import qpa

field = qpa.Field.prime(5)
quiver = qpa.Quiver(["v"], [("v", "v", "x")])
algebra = qpa.QuotientAlgebra.truncated(field, quiver, 3)

assert algebra.dimension() == "3"
assert algebra.generator("x").pow(3).is_zero

Begin with the Python installation guide and Python quickstart. The examples under docs/examples/python are executable and tested.

See ROADMAP.md for the completed source-port campaign and POST_PORT_ROADMAP.md for the completed stabilization, refactor, and API campaigns. Maintainer verification is documented in docs/development/verification.md, and NOTICE.md records source provenance and attribution. Every intentional behavioral difference from pinned QPA is listed in porting/deviations.md. The user-guide index separates shared mathematical conventions, the primary Python workflow, and the supported Rust facades.

Project links

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Data verified by PyPI on Sep 5, 2026
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GPL-2.0-or-later
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Requires

Python >=3.10

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