uniaccurate
Error-free transforms and accurate summation/dot-product for floating-point arithmetic — a Python binding over UniAccurate, a Nim library with a C ABI core.
Naive summation accumulates O(n) rounding error. uniaccurate gives you
progressively stronger alternatives without leaving Python: pairwise
(O(log n)), compensated (Kahan/Neumaier/Klein), and correctly-rounded
(Shewchuk's adaptive-precision expansion, the Neal small superaccumulator) —
plus the matching compensated and correctly-rounded dot products.
Install
pip install uniaccurate
Prebuilt wheels ship for Linux, macOS and Windows, CPython 3.9-3.13. No Nim or C toolchain needed at install time.
Quick start
import uniaccurate
s, e = uniaccurate.two_sum(1.0, 2e16) # (2e16, 1.0) -- error recovered exactly
uniaccurate.kahan_sum([0.1] * 10) # 1.0
uniaccurate.shewchuk_sum([1.0, 1e100, 1.0, -1e100]) # 2.0, correctly rounded
uniaccurate.exact_dot([1.0, 2.0], [3.0, 4.0]) # 11.0, correctly rounded
What's included
| Category | Functions |
|---|---|
| Error-free transform | two_sum |
| Summation | naive_sum, pairwise_sum, pairwise_sum_iterative |
| Compensated summation | kahan_sum, neumaier_sum, klein_sum, sum_k |
| Correctly-rounded summation | shewchuk_sum, exact_sum, oro_sum, acc_sum, near_sum |
| Dot product | naive_dot, dot2, dot_k, exact_dot |
| Diagnostics | condition_number |
Every function raises TypeError on non-numeric input rather than silently
coercing; see each docstring (help(uniaccurate.kahan_sum)) for the exact
error/NaN/Inf behavior.
Links
- Source, Nim API, C ABI, ADRs: https://github.com/lituus-lab/UniAccurate
- Issues: https://github.com/lituus-lab/UniAccurate/issues
- License: Apache-2.0 (
LICENSEin the source repo)
Development
Building from source (contributing, or a platform without a prebuilt wheel)
needs a Nim toolchain — see CONTRIBUTING.md in the source repo.
nimble pyLib # build the shared lib the extension links against
cd py && python3 setup.py build_ext --inplace # build extension
cd py && python3 -m pytest -q # test
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