Python’s Fraction data type is an excellent way to do exact calculations with unlimited rational numbers and largely beats Decimal in terms of simplicity, accuracy and safety. Clearly not in terms of speed, though, given the cdecimal accelerator in Python 3.3+.

quicktions is an adaptation of the original fractions module (as included in CPython 3.13) that is compiled and optimised with Cython into a fast, native extension module.

Compared to the standard library fractions module of CPython 3.12, computations in quicktions are about 2-4x faster.

Instantiation of a Fraction in quicktions is also

  • 5-15x faster from a floating point string value (e.g. Fraction("123.456789"))

  • 3-5x faster from a floating point value (e.g. Fraction(123.456789))

  • 2-5x faster from an integer numerator-denominator pair (e.g. Fraction(123, 456))

We provide a set of micro-benchmarks here:

https://github.com/scoder/quicktions/tree/master/benchmark

As of quicktions 1.19, the different number types and implementations compare as follows in CPython 3.12 (measured on Ubuntu Linux):

Average times for all 'create' benchmarks:
float               :    19.69 us (1.0x)
Fraction            :    58.63 us (3.0x)
Decimal             :    84.32 us (4.3x)
PyFraction          :   208.20 us (10.6x)

Average times for all 'compute' benchmarks:
float               :     1.79 us (1.0x)
Decimal             :    10.11 us (5.7x)
Fraction            :    39.24 us (22.0x)
PyFraction          :    96.23 us (53.9x)

While not as fast as the C implemented decimal module in Python 3, quicktions is about 15x faster than the Python implemented decimal module in Python 2.7.

For documentation, see the Python standard library’s fractions module:

https://docs.python.org/3/library/fractions.html

ChangeLog

1.24 (2026-10-10)

  • Binary wheels are not longer provided for Python 3.8. Building them manually with Cython < 3.3 should still work, though.

  • No longer relies on .as_integer_ratio() of subtypes of builtin types returning a ratio in lowest terms and normalises their return value instead.

  • Fraction.from_float() is slightly faster for exact float objects and integers.

  • Fraction.from_decimal() is slightly faster for exact Decimal objects.

  • Built using Cython 3.3.0.

1.23 (2026-04-08)

  • Thousands separator in formatting was handled differently than for floats etc. https://github.com/python/cpython/pull/131067

  • Support thousands separators for formatting fractional part of Fraction. https://github.com/python/cpython/pull/132204

  • Supports building as abi3 wheel. Note that abi3 wheels are about half as fast as Python specific builds.

  • Several uncommon build architectures are now served with abi3 wheels to reduce the number of distribution wheels. To request a more performant wheel for a specific architecture and Python version (range), please open a ticket.

  • Built using Cython 3.2.4.

1.22 (2025-08-25)

  • A choice of different GCD implementations is available via quicktions.use_gcd_impl(). The fastest one on the current machine is chosen at import time.

  • Built using Cython 3.1.3.

1.21 (2025-06-13)

  • A serious parser bug could accidentally concatenate numerator and denominator as final denominator when parsing “x/y” where x or y are close to sys.maxsize, thus returning a Fraction("x/xy").

  • MSVC and clang now also benefit from fast “count trailing zeroes” intrinsics.

1.20 (2025-06-13)

1.19 (2024-11-29)

1.18 (2024-04-03)

  • New binary wheels were added built with gcc 12 (manylinux_2_28).

  • x86_64 wheels now require SSE4.2.

  • Built using Cython 3.0.10.

1.17 (2024-03-24)

  • Math operations were sped up by inlined binary GCD calculation.

1.16 (2024-01-10)

1.15 (2023-08-27)

  • Add support for Python 3.12 by using Cython 3.0.2.

1.14 (2023-03-19)

1.13 (2022-01-11)

  • Parsing very long numbers from a fraction string was very slow, even slower than fractions.Fraction. The parser is now faster in all cases (and still much faster for shorter numbers).

  • Fraction did not implement __int__. https://bugs.python.org/issue44547

1.12 (2022-01-07)

1.11 (2019-12-19)

  • Fix OverflowError when parsing string values with long decimal parts.

1.10 (2019-08-23)

  • hash(fraction) is substantially faster in Py3.8+, following an optimisation in CPython 3.9 (https://bugs.python.org/issue37863).

  • New method fraction.as_integer_ratio().

1.9 (2018-12-26)

  • Substantially faster normalisation (and therefore instantiation) in Py3.5+.

  • // (floordiv) now follows the expected rounding behaviour when used with floats (by converting to float first), and is much faster for integer operations.

  • Fix return type of divmod(), where the first item should be an integer.

  • Further speed up mod and divmod operations.

1.8 (2018-12-26)

  • Faster mod and divmod calculation.

1.7 (2018-10-16)

  • Faster normalisation and fraction string parsing.

  • Add support for Python 3.7.

  • Built using Cython 0.29.

1.6 (2018-03-23)

  • Speed up Fraction creation from a string value by 3-5x.

  • Built using Cython 0.28.1.

1.5 (2017-10-22)

  • Result of power operator (**) was not normalised for negative values.

  • Built using Cython 0.27.2.

1.4 (2017-09-16)

  • Rebuilt using Cython 0.26.1 to improve support of Python 3.7.

1.3 (2016-07-24)

  • repair the faster instantiation from Decimal values in Python 3.6

  • avoid potential glitch for certain large numbers in normalisation under Python 2.x

1.2 (2016-04-08)

  • change hash function in Python 2.x to match that of fractions.Fraction

1.1 (2016-03-29)

  • faster instantiation from float values

  • faster instantiation from Decimal values in Python 3.6

1.0 (2015-09-10)

  • Fraction.imag property could return non-zero

  • parsing strings with long fraction parts could use an incorrect scale

0.7 (2014-10-09)

  • faster instantiation from float and string values

  • fix test in Python 2.x

0.6 (2014-10-09)

  • faster normalisation (and thus instantiation)

0.5 (2014-10-06)

  • faster math operations

0.4 (2014-10-06)

  • enable legacy division support in Python 2.x

0.3 (2014-10-05)

  • minor behavioural fixes in corner cases under Python 2.x (now passes all test in Py2.7 as well)

0.2 (2014-10-03)

  • cache hash value of Fractions

0.1 (2014-09-24)

  • initial public release

Project links

Key dates

PyPI data
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  • Released:
Latest release

1 maintainer

PyPI data
Data sourced directly from PyPI's database.
Avatar for scoder from gravatar.com scoder

Credits

Author/Maintainer: Stefan Behnel

License

PSF-2.0

Requires

Python >=3.9

Classifiers

Report project as malware

Metadata

Project links

Key dates

PyPI data
Data sourced directly from PyPI's database.
  • Released:
Latest release

1 maintainer

PyPI data
Data sourced directly from PyPI's database.
Avatar for scoder from gravatar.com scoder

Credits

Author/Maintainer: Stefan Behnel

License

PSF-2.0

Requires

Python >=3.9

Classifiers

Report project as malware

Release files for quicktions 1.24

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

Source distribution (sdist)

Source distribution for quicktions 1.24
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quicktions-1.24.tar.gz 438.7 kB Details

Built distributions (wheels)

Table of built distributions (wheels) for quicktions 1.24
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