casadi
fricas
casadi | fricas | |
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4 | 8 | |
1,553 | 286 | |
1.7% | 0.7% | |
9.3 | 9.3 | |
6 days ago | 7 days ago | |
C++ | Clojure | |
GNU Lesser General Public License v3.0 only | BSD 3-clause "New" or "Revised" License |
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casadi
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pyomo VS casadi - a user suggested alternative
2 projects | 5 Sep 2023
Interface for several solvers and integrators.
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(Direct) Collocation in (Time) Optimal Control
Howdy! Collocation methods can be... tricky. For NMPC control of vehicles, success has been had using direct multiple shooting. Also easier to implement and more intuitive. In fact, this example from the GH is pretty instructive: https://github.com/casadi/casadi/blob/master/docs/examples/python/race_car.py
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Are there any optimization libraries/packages that use automatic differentiation?
JuMP.jl (Julia) or casADi (Python) are good choices.
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Should I switch over completely to Julia from Python for numerical analysis/computing?
Python is not mature in this area. If you ask Google what Simulink for Python is, you get responses that point to dead libraries that were never feature complete and slow. The absolute closest is CASADI which is nice for some things but doesn't even have a true causal modeling interface and is mostly abandoned by the developers (they put a patch in every now and then, but just look at the commit graph), and it's slow compared to the Julia tools, so much so that PyBAMM is interfacing with ModelingToolkit.jl in Julia for a performance boost. Python is not the place to be for causal/acausal modeling or controls. Anyone who is saying "Python is mature" here is saying it in the abstract and not in the context of your actual question. Yes, Python has web development frameworks. No it does not have good libraries for tons of areas (control, acausal modeling, pharmacometrics, etc.).
fricas
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Integral Calculator
But it's integration functionalities are less advanced and comprehensive than those of Fricas. Interestingly, the latter is, like Maxima, implemented using Lisp and stems from a ancient software lineage. Both systems are free and open-source.
Fricas home page: http://fricas.github.io
Some independent integration benchmarks, comparing multiple computer algebra systems: https://www.12000.org/my_notes/CAS_integration_tests/index.h...
- FriCAS – an advanced computer algebra system
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Strategies for doing symbolic integration algorithmically
Even partial implementations of the Risch algorithm can be pretty daunting but you might look at a couple heuristics that handle the easier bits, like Manel Bronstien's Poor Man's Integrator https://www-sop.inria.fr/cafe/Manuel.Bronstein/pmint/index.html which doesn't need as many algebraic tools, but does need gcd, factor, and solve. I think FriCAS might use this https://github.com/fricas/fricas
- A Mature Library For Symbolic Computation?
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[2021 Day 6] [Fricas] Solution via finding a recurrence and solving it
Fricas home page: https://fricas.github.io
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Is Haskell a good language for CAS/numerical analysis?
I used to use Maxima back in the day, which is embedded in Lisp. With a quick googling I found FriCAS https://github.com/fricas/fricas , which aims to be "world class" AND its libraries are built in a strongly-typed DSL called Spad.
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"FriCAS algebra library, the largest and most advanced free general purpose computer algebra system" (as of September 2007)
BTW this is not a Clojure project. It contains .boot files that look like this and GitHub thinks they're Clojure. Trying to edit the .gitattributes through a PR.
What are some alternatives?
ceres-solver - A large scale non-linear optimization library
axiom - The dynamic infrastructure framework for everybody! Distribute the workload of many different scanning tools with ease, including nmap, ffuf, masscan, nuclei, meg and many more!
ModelingToolkit.jl - An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
axiom - Axiom is a free, open source computer algebra system
symbolic - A Symbolic Package for Octave using SymPy
Axiom - An FFmpeg GUI for Windows
jsbsim - An open source flight dynamics & control software library
Symbolics.jl - Symbolic programming for the next generation of numerical software
symforce - Fast symbolic computation, code generation, and nonlinear optimization for robotics
cadabra2 - A field-theory motivated approach to computer algebra.
wyvern - Automatic conversion of call by value into call by need in the LLVM IR.
polycalc - 🧮 Polynomial Calculator