file ode/geodesic/manifold.c for n-dimensional cylinder, sphere, ellipsoid, torus, and elliptical torus alg recursive algorithm of n-dimensional sphere and torus by William L. Anderson file ode/geodesic/metric.c for Euclidean and hyperbolic metric on Riemannian manifold by William L. Anderson file ode/geodesic/geodes.c for minimum-length geodesic alg relaxation on d^2x^i/ds^2 + Gamma^i_{jk} dx^j/ds dx^k/ds = 0 by William L. Anderson file ode/geodesic/geodtest.c for test driver for minimum-length geodesic by William L. Anderson .