Extension

rmath.geometry

Distance metrics, 3D rotations via quaternions, and computational geometry algorithms. All vector operations are parallelized.

Quaternion

Unit quaternion for 3D rotations: q = w + xi + yj + zk.

`Quaternion(w, x, y, z)`	Create a quaternion
`.norm()`	float	Quaternion magnitude
`.normalize()`	Quaternion	Unit quaternion
`.rotate_vector(v)`	Vector	Apply rotation to a 3D vector
`q1 * q2`	Quaternion	Hamilton product (rotation composition)

Distance Metrics

Function	Returns	Description
`euclidean_distance(v1, v2)`	float	L2 distance
`manhattan_distance(v1, v2)`	float	L1 distance
`minkowski_distance(v1, v2, p)`	float	Lp distance
`cosine_similarity(v1, v2)`	float	Cosine of angle between vectors
`angle_between(v1, v2)`	float	Angle in radians

Vector Operations

`projection(v, target)`	Vector	Project v onto target
`cross_product(v1, v2)`	Vector	3D cross product

Computational Geometry

`is_point_in_polygon(x, y, poly_x, poly_y)`	bool	Ray-casting point-in-polygon test
`convex_hull(points_x, points_y)`	(list, list)	Convex hull of 2D points