Features¶

Kingdon is a Geometric Algebra (GA) library which combines a Pythonic API with symbolic simplification and just-in-time compilation to achieve high-performance in a single package. It support both symbolic and numerical GA computations. Moreover, kingdon uses ganja.js for visualization in notebooks, making it an extremely well rounded GA package.

In bullet points:

• Symbolically optimized code generation.

• Leverage sparseness of input.

• ganja.js enabled graphics in jupyter notebooks.

• Agnostic to the input types: work with GA’s over numpy arrays, PyTorch tensors, sympy expressions, etc. Any object that overloads addition, subtraction and multiplication makes for valid multivector coefficients in kingdon.

• Automatic broadcasting, such that transformations can be applied to e.g. point-clouds.

• Compatible with numba and other JIT compilers to speed-up numerical computations.