The Willing Kingdon Clifford Algebra Library

Abstract: Kingdon is an open-source Python package designed to seamlessly integrate Geometric Algebra (GA) into existing workflows. Unlike previous GA libraries, kingdon is input-type-agnostic, and hence supports GA's over e.g. PyTorch tensors, NumPy arrays, or SymPy symbolic expressions, to name but a few. Despite this refusal to specialize, it delivers high performance by symbolically optimizing operators and leveraging input sparsity for Just-In-Time compiled expressions. Additionally, its visualization capabilities in Jupyter notebooks using ganja align with the rapid prototyping workflow common to scientific research.