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BielSort

PyPI version CPython 3.9-3.14 Documentation CI License: MIT

Current stable release: 0.2.0 on PyPI and v0.2.0 on GitHub. The public API is stable for the 0.2 series, while performance heuristics may continue to evolve before 1.0.

BielSort is an adaptive, stable sorting library for CPython. It specializes in large list[int] workloads while preserving Python-compatible behavior through Timsort fallbacks.

The native core selects among:

  • stable counting sort for large, dense signed 64-bit integer ranges;
  • stable LSD radix sort with 11-bit digits for other signed 64-bit integers;
  • CPython's Timsort for small, nearly monotonic, non-integer, arbitrary-size integer, and general Python-key workloads.

It provides separate APIs to compete fairly with both sorted() and list.sort().

Status

  • Development stage: beta (0.2.0)
  • Published stable: PyPI and GitHub Releases (0.2.0)
  • Validated candidate archive: TestPyPI 0.2.0rc1
  • Runtime: CPython 3.9+
  • Native language: C
  • Type information: PEP 561 stubs checked against the runtime API in CI
  • Fast path: exact Python integers in signed 64-bit range
  • Fallback: Python-compatible stable sorting
  • License: MIT
  • CI: CPython 3.9-3.14 on Linux, Windows, and macOS
  • Wheels: Linux x86-64, Windows x86/x64, and macOS Intel/Apple Silicon

Installation

Install the stable release from PyPI:

python -m pip install bielsort

For a reproducible installation, pin the current release:

python -m pip install bielsort==0.2.0

The package has no runtime dependencies. The canonical import is bielsort.

The validated pre-release remains available from TestPyPI for release-history reproduction:

python -m pip install \
  --index-url https://test.pypi.org/simple/ \
  --no-deps \
  bielsort==0.2.0rc1

Installing from a source checkout

The following commands are for a cloned project, not for a regular PyPI installation. From the project directory:

python -m pip install .

The dot means the current directory. For development, -e creates an editable installation:

python -m pip install -e .
python -m unittest discover -s tests -v

Usage

import bielsort

numbers = [8, -4, 10, 3, -4]

# Like sorted(): returns a new list.
ordered = bielsort.sort(numbers)

# Like list.sort(): mutates the list and returns None.
bielsort.sort_in_place(numbers)

Using the package namespace keeps the calls visually distinct from Python's sorted() function and list.sort() method. Python has no standalone built-in function named sort().

key= and reverse= are supported. In 0.2, sort(..., key=...) can accelerate exact signed-int64 key results with stable Counting or Radix while retaining Timsort for other keys. The in-place key API continues to use Timsort:

import bielsort

records = [{"score": 8}, {"score": 3}]
ordered = bielsort.sort(
    records,
    key=lambda item: item["score"],
    reverse=True,
)

The diagnostic APIs expose the selected strategy:

import bielsort

ordered, strategy = bielsort.sort_with_strategy([3, 1, 2] * 10_000)
print(strategy)

Version 0.2 also provides structured keyed diagnostics and an optional native-memory guard:

ordered, info = bielsort.sort_with_info(
    records,
    key=lambda item: item["score"],
    max_native_auxiliary_bytes=64 * 1024 * 1024,
)

print(info.algorithm)  # counting, radix, timsort, ...
print(info.reason)
print(info.estimated_native_auxiliary_bytes)

The limit covers BielSort's variable native buffers, not total process memory. When a limit is set, the input must be an exact list or tuple so the guard can decide before calling key. Use on_memory_limit="raise" to reject the operation instead of falling back to Timsort.

The validated version 0.2 keyed implementation measured 2.37x–5.13x over sorted(key=...) for the sampled integer-key workloads, while its string-key fallback stayed between 0.98x and 1.04x. See the versioned report.

The earlier biel_sort* names remain compatibility aliases. New code should use the canonical sort* names shown above.

Complexity

For n elements, numeric range k, and p varying radix digits:

Strategy Time Additional memory
Native counting Θ(n + k) Θ(n + k)
Native radix Θ(pn), 1 <= p <= 6 Θ(n)
Timsort fallback best Θ(n), worst Θ(n log n) O(n)

For signed 64-bit integers, p is bounded by six and does not grow with n.

Local benchmark snapshot

Median of five executions on the original Linux development machine with one million elements. Times are in seconds and speedups above 1.00x favor BielSort.

New-list operation

Input sorted() (s) BielSort (s) Speedup
dense range 0.20259 0.04713 4.30x
random int32 0.24079 0.05009 4.81x
random int64 0.26314 0.07535 3.49x
1024-bit integers 0.33237 0.33417 0.99x
nearly sorted 0.01691 0.01730 0.98x

In-place operation

Input list.sort() (s) BielSort (s) Speedup
dense range 0.18953 0.03203 5.92x
random int32 0.23666 0.03796 6.23x
random int64 0.26081 0.06028 4.33x
1024-bit integers 0.30962 0.31676 0.98x
nearly sorted 0.01139 0.01097 1.04x

These numbers are not universal guarantees. See benchmarks/README.md for the benchmark policy and reproduction commands. The versioned 2026-07-30 Linux report also records peak memory and NumPy comparisons. A separate Counting Sort optimization report records the measured 36%-45% peak-memory reduction.

Help validate BielSort

The corrected GitHub-hosted validation installed the public 0.1.0 wheel successfully on five Linux, Windows, Intel macOS, and Apple Silicon environments. It also documents a benchmark-lifetime defect found and corrected during fallback profiling. Native proxies remained consistent, but shared-runner results are not evidence of real user demand.

If your application already sorts a large list[int], use the real-world use-case form to share an anonymized win, loss, or incompatibility. Reports where BielSort is not beneficial are equally valuable.

The repository's privacy-preserving Workload Evaluator measures equivalent new-list and in-place APIs, validates every result, and writes reviewable JSON and Markdown without raw values or automatic uploads:

python benchmarks/workload_evaluator.py \
  my_workload.py:load_values \
  --label "anonymous-description"

Scope and limitations

  • The accelerated path currently supports exact int objects in signed 64-bit range, including eligible key results in the 0.2 new-list API.
  • Floats, strings, subclasses, mixed types, huge integers, reverse=True without a key, and in-place key calls use Timsort.
  • The project is CPython-specific because its native module uses the CPython C API.
  • Prebuilt wheels currently target Linux x86-64, Windows x86/x64, and macOS Intel/Apple Silicon. Other platforms may need to build from source and are not yet part of the validated compatibility matrix.
  • bielsort is the canonical import. The older bielsort_native import remains available for compatibility.
  • Counting and radix paths allocate native buffers proportional to input size.
  • BielSort is a hybrid implementation based on established sorting techniques; it should not be presented as a newly invented sorting theory.

Development

License

Copyright (c) 2026 Gabriel Fernandes Farah Elias.

BielSort is distributed under the MIT License.

Português

O BielSort é uma biblioteca de ordenação estável e adaptativa para CPython. Ela acelera listas grandes de inteiros usando Counting Sort ou Radix Sort em C e recorre ao Timsort nos casos em que o algoritmo padrão é mais adequado.

A versão pública estável atual é a 0.2.0, distribuída sob a licença MIT. A candidata validada 0.2.0rc1 permanece arquivada no TestPyPI. A compilação e os testes de wheels foram validados no CI para CPython 3.9 até 3.14 em Linux, Windows, macOS Intel e macOS Apple Silicon.

A versão 0.2 também pode acelerar bielsort.sort(..., key=...) quando a chave retorna um inteiro exato signed 64-bit. A API in-place com chave continua usando Timsort.

Instalação e uso recomendado:

python -m pip install bielsort
import bielsort

ordenados = bielsort.sort([8, -4, 10, 3, -4])

Release files for bielsort 0.2.0

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

Source distribution (sdist)

Source distribution for bielsort 0.2.0
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bielsort-0.2.0.tar.gz 126.6 kB Details

Built distributions (wheels)

Table of built distributions (wheels) for bielsort 0.2.0
File
bielsort-0.2.0-cp314-cp314-win_amd64.whl CPython 3.14 CPython 3.14 Windows x86-64 Details
bielsort-0.2.0-cp314-cp314-win32.whl CPython 3.14 CPython 3.14 Windows x86-32 Details
bielsort-0.2.0-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details
bielsort-0.2.0-cp314-cp314-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details
bielsort-0.2.0-cp314-cp314-macosx_11_0_arm64.whl CPython 3.14 CPython 3.14 macOS 11.0+ ARM64 Details
bielsort-0.2.0-cp314-cp314-macosx_10_15_x86_64.whl CPython 3.14 CPython 3.14 macOS 10.15+ x86-64 Details
bielsort-0.2.0-cp313-cp313-win_amd64.whl CPython 3.13 CPython 3.13 Windows x86-64 Details
bielsort-0.2.0-cp313-cp313-win32.whl CPython 3.13 CPython 3.13 Windows x86-32 Details
bielsort-0.2.0-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details
bielsort-0.2.0-cp313-cp313-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details
bielsort-0.2.0-cp313-cp313-macosx_11_0_arm64.whl CPython 3.13 CPython 3.13 macOS 11.0+ ARM64 Details
bielsort-0.2.0-cp313-cp313-macosx_10_13_x86_64.whl CPython 3.13 CPython 3.13 macOS 10.13+ x86-64 Details
bielsort-0.2.0-cp312-cp312-win_amd64.whl CPython 3.12 CPython 3.12 Windows x86-64 Details
bielsort-0.2.0-cp312-cp312-win32.whl CPython 3.12 CPython 3.12 Windows x86-32 Details
bielsort-0.2.0-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details
bielsort-0.2.0-cp312-cp312-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details
bielsort-0.2.0-cp312-cp312-macosx_11_0_arm64.whl CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details
bielsort-0.2.0-cp312-cp312-macosx_10_13_x86_64.whl CPython 3.12 CPython 3.12 macOS 10.13+ x86-64 Details
bielsort-0.2.0-cp311-cp311-win_amd64.whl CPython 3.11 CPython 3.11 Windows x86-64 Details
bielsort-0.2.0-cp311-cp311-win32.whl CPython 3.11 CPython 3.11 Windows x86-32 Details
bielsort-0.2.0-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details
bielsort-0.2.0-cp311-cp311-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details
bielsort-0.2.0-cp311-cp311-macosx_11_0_arm64.whl CPython 3.11 CPython 3.11 macOS 11.0+ ARM64 Details
bielsort-0.2.0-cp311-cp311-macosx_10_9_x86_64.whl CPython 3.11 CPython 3.11 macOS 10.9+ x86-64 Details
bielsort-0.2.0-cp310-cp310-win_amd64.whl CPython 3.10 CPython 3.10 Windows x86-64 Details
bielsort-0.2.0-cp310-cp310-win32.whl CPython 3.10 CPython 3.10 Windows x86-32 Details
bielsort-0.2.0-cp310-cp310-musllinux_1_2_x86_64.whl CPython 3.10 CPython 3.10 Linux musl 1.2+ x86-64 Details
bielsort-0.2.0-cp310-cp310-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.10 CPython 3.10 Linux glibc 2.17+ x86-64, Linux glibc 2.28+ x86-64 Details
bielsort-0.2.0-cp310-cp310-macosx_11_0_arm64.whl CPython 3.10 CPython 3.10 macOS 11.0+ ARM64 Details
bielsort-0.2.0-cp310-cp310-macosx_10_9_x86_64.whl CPython 3.10 CPython 3.10 macOS 10.9+ x86-64 Details
bielsort-0.2.0-cp39-cp39-win_amd64.whl CPython 3.9 CPython 3.9 Windows x86-64 Details
bielsort-0.2.0-cp39-cp39-win32.whl CPython 3.9 CPython 3.9 Windows x86-32 Details
bielsort-0.2.0-cp39-cp39-musllinux_1_2_x86_64.whl CPython 3.9 CPython 3.9 Linux musl 1.2+ x86-64 Details
bielsort-0.2.0-cp39-cp39-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl CPython 3.9 CPython 3.9 Linux glibc 2.28+ x86-64, Linux glibc 2.17+ x86-64 Details
bielsort-0.2.0-cp39-cp39-macosx_11_0_arm64.whl CPython 3.9 CPython 3.9 macOS 11.0+ ARM64 Details
bielsort-0.2.0-cp39-cp39-macosx_10_9_x86_64.whl CPython 3.9 CPython 3.9 macOS 10.9+ x86-64 Details

Total release size: 2.2 MB

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Release files / bielsort-0.2.0-cp39-cp39-manylinux2014_x86_64.manylinux_2_17_x86_64.manylinux_2_28_x86_64.whl

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