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A fast and flexible implementation of Rigid Body Dynamics algorithms and their analytical derivatives

  • robotics
  • dynamics
  • analytical-derivatives
  • kinematics

CasADi is a symbolic framework for numeric optimization implementing automatic differentiation in forward and reverse modes on sparse matrix-valued computational graphs. It supports self-contained C-code generation and interfaces state-of-the-art codes such as SUNDIALS, IPOPT etc. It can be used from C++, Python, Matlab/Octave, Julia or Javascript

automatic differentiation made easier for C++

  • automatic-differentiation
  • auto-differentiation
  • autodiff
  • autodifferentiation

The Control Toolbox - An Open-Source C++ Library for Robotics, Optimal and Model Predictive Control

  • optimal-control
  • model-predictive-control
  • ilqr
  • ilqg

Open-source cross-platform symbolic algebra library for C# and F#. Can be used for both production and research purposes.

  • csharp
  • algebra
  • integration
  • latex

The fastest automatic differentiation library for C++, with Python bindings. Forward, adjoint and higher-order derivatives, checkpointing, Eigen support and JIT. Reproducible benchmarks against CppAD, Adept and autodiff.

  • automatic-differentiation
  • aad
  • algorithmic-differentiation
  • autodiff

Iterative Linear Quadratic Regulator with auto-differentiatiable dynamics models

  • trajectory-optimization
  • differential-dynamic-programming
  • theano
  • dynamics-models

Born is a modern ML framework for Go — train and deploy models as single binaries. Pure Go, zero CGO, GPU accelerated.

Accelerated tensor operations and dynamic neural networks based on reverse mode automatic differentiation for every device that can run Swift - from watchOS to Linux

A .NET library that provides fast, accurate and automatic differentiation (computes derivative / gradient) of mathematical functions.

A simple to use log system, minimalist but with features for debugging and differentiation of messages