Hi Jason, cheers! The interoperability with SymPy and its mechanics module is a work in progress, so please let me know what you think we could improve on.
Kind regards, Francesco. On Fri, 1 Oct 2021 at 09:12, Jason Moore <[email protected]> wrote: > Hi, > > Thanks for sharing. I'll try it out with some other mechanics problems. > Looks nice! > > Jason > moorepants.info > +01 530-601-9791 > > > On Wed, Sep 29, 2021 at 11:23 PM Francesco Biscani <[email protected]> > wrote: > >> Hello, >> >> we just released the latest version of our Taylor integrator heyoka.py: >> >> https://github.com/bluescarni/heyoka.py >> >> heyoka.py is an implementation of Taylor's method for the numerical >> integration of systems of ODEs based on automatic differentiation and >> just-in-time compilation via LLVM. >> >> Current features include: >> >> - support for both double-precision and extended-precision floating-point >> types, >> - the ability to maintain machine precision accuracy over tens of >> billions of timesteps, >> - high-precision zero-cost dense output, >> - accurate and reliable event detection, >> - excellent performance, >> - batch mode integration to harness the power of modern SIMD instruction >> sets. >> >> heyoka.py needs to represent the ODEs symbolically in order to apply the >> automatic differentiation rules necessary for an efficient implementation >> of Taylor's method. For this purpose, heyoka.py uses its own expression >> system, but in recent versions we added the ability to convert heyoka.py's >> symbolic expressions to/from SymPy. Here's a simple example of >> interoperability between heyoka.py and SymPy: >> >> https://bluescarni.github.io/heyoka.py/notebooks/sympy_interop.html >> >> Here instead is a non-trivial example where the equations of motion are >> formulated via SymPy's classical mechanics module and then integrated via >> heyoka.py: >> >> https://bluescarni.github.io/heyoka.py/notebooks/tides_spokes.html >> >> This second example also shows how the common subexpression elimination >> capabilities of heyoka.py were able to drastically simplify highly-complex >> Lagrangian equations. >> >> As a long-time observer/user of SymPy, I thought that other SymPy users >> might find this project interesting. I am also looking for feedback on our >> SymPy conversions facilities, as this is my first time digging into the >> SymPy expression system internals. >> >> Thanks and kind regards, >> >> Francesco >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to [email protected]. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/sympy/CAHExjCv%3DwxH6ZRpkkMqJDMmXg-h1Q43Q5dZq4ahYcGE8MGfFHA%40mail.gmail.com >> <https://groups.google.com/d/msgid/sympy/CAHExjCv%3DwxH6ZRpkkMqJDMmXg-h1Q43Q5dZq4ahYcGE8MGfFHA%40mail.gmail.com?utm_medium=email&utm_source=footer> >> . >> > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/CAP7f1Aj2cFtgQBS_5oqPoEq9DCyF%2BJfZRr-W3UaLi_WfBaPNag%40mail.gmail.com > <https://groups.google.com/d/msgid/sympy/CAP7f1Aj2cFtgQBS_5oqPoEq9DCyF%2BJfZRr-W3UaLi_WfBaPNag%40mail.gmail.com?utm_medium=email&utm_source=footer> > . > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/CAHExjCuG0Z_nP-7Q3Tba%2B_3KfB2K%2B1TJQZOZoSNB3mtxdw498A%40mail.gmail.com.
