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Fused multiply-add for Python

Project description

Fused multiply-add for Python.

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Fused multiply-add computes (x*y) + z with a single rounding. Useful for dot products, matrix multiplications, polynomial evaluations (e.g., with Horner’s rule), Newton’s method for evaluating functions, convolutions, artificial neural networks etc.

Use as

import pyfma

out = pyfma.fma(3.0, 2.0, 1.0)  # 3.0*2.0 + 1.0 = 7.0

Also works with NumPy inputs:

import numpy
import pyfma

x = numpy.random.rand(3, 4, 5)
y = numpy.random.rand(3, 4, 5)
z = numpy.random.rand(3, 4, 5)

out = pyfma.fma(x, y, z)

Built with pybind11.

Caution The C/C++ implementation of FMA in MS Windows is reportedly broken. Use with care.


pyfma can be installed from the Python Package Index, so with

pip install -U pyfma

you can install/upgrade.

Manual installation

For manual installation (if you’re a developer or just really keen on getting the bleeding edge version of pyfma), there are two possibilities:

  • Get the sources, type sudo python install. This does the trick most the time.
  • As a fallback, there’s a CMake-based installation. Simply go cmake    /path/to/sources/ and make.


To run the pyfma unit tests, check out this repository and type



To create a new release

  1. bump the __version__ number (in and src/pyfma.i)

  2. publish to PyPi and GitHub:

    make publish


pyfma is published under the MIT license.

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