path jaggedness metric

suggested new terminology
Let the set of nonpositive reals be the road so far traveled, from left to right, and let z be a point in the complex plain not on this portion of the road. The the path jaggedness of the road at 0 is pq, where p = (1 ā€“ cos(arg(z)))/2, and q = log(1 + ||z||). (example: the jaggedness of Texas highway 46 as it goes through Boerne.)
keywords: road curvature