kernels

Kernels Examples

This directory contains examples showing how common geometric computations can be written directly using multivector operations.

Examples

Geometric Kernels

A collection of mini-geometry utilities like:

• signed_area_2d(a, b, c)
• signed_volume_3d(u, v, w)
• are_orthogonal(u, v)
• bivector_plane(u, v)

Shows how to replace matrix-based operations with multivector formulas for better clarity and efficiency.

How to run:

uv run python examples/kernels/geometric_kernels.py

Expected Output:

=== Mini Geometry Kernel ===
Triangle area: 6.0
Signed volume: 1.0
Are u and v orthogonal? True