heyoka.py

Modern Taylor's method via just-in-time compilation
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The heyókȟa [...] is a kind of sacred clown in the culture of the Sioux (Lakota and Dakota people) of the Great Plains of North America. The heyoka is a contrarian, jester, and satirist, who speaks, moves and reacts in an opposite fashion to the people around them.

heyoka.py is a Python library for the integration of ordinary differential equations (ODEs) via Taylor's method. Notable features include:

• support for both double-precision and extended-precision floating-point types (80-bit and 128-bit),
• the ability to maintain machine precision accuracy over tens of billions of timesteps,
• high-precision zero-cost dense output,
• accurate and reliable event detection,
• batch mode integration to harness the power of modern SIMD instruction sets,
• a high-performance implementation of Taylor's method based on automatic differentiation techniques and aggressive just-in-time compilation via LLVM.

heyoka.py is based on the heyoka C++ library.

Documentation

The full documentation can be found here.

Authors

• Francesco Biscani (Max Planck Institute for Astronomy)
• Dario Izzo (European Space Agency)

License

heyoka.py is released under the MPL-2.0 license.