Skip> I took the original version, tweaked it slightly (probably did Skip> about the same things as Python #2, I didn't look). For N == Skip> 200,000 the time went from 21.94s (user+sys) to 17.22s. Using Skip> psyco and binding just the advance function on my improved version Skip> improved that further to 6.48s. I didn't have the patience to run Skip> larger values of N. Diff appended.
Ah, wait a moment. One more tweak. Make the body class a psyco class. That improves the runtime to 3.02s. Diff appended. Skip % diff -u nbody.py.~1~ nbody.py --- nbody.py.~1~ 2006-10-06 15:13:31.636675000 -0500 +++ nbody.py 2006-10-06 15:35:36.619976000 -0500 @@ -5,28 +5,31 @@ # contributed by Kevin Carson import sys +import psyco +import psyco.classes pi = 3.14159265358979323 solar_mass = 4 * pi * pi days_per_year = 365.24 -class body : +class body(psyco.classes.psyobj): pass def advance(bodies, dt) : - for i in xrange(len(bodies)) : + nbodies = len(bodies) + for i in xrange(nbodies) : b = bodies[i] - for j in xrange(i + 1, len(bodies)) : + for j in xrange(i + 1, nbodies) : b2 = bodies[j] dx = b.x - b2.x dy = b.y - b2.y dz = b.z - b2.z - distance = (dx**2 + dy**2 + dz**2)**0.5 - - b_mass_x_mag = dt * b.mass / distance**3 - b2_mass_x_mag = dt * b2.mass / distance**3 + dsqr = (dx*dx + dy*dy + dz*dz) + dtd3 = dt / dsqr ** 1.5 + b_mass_x_mag = dtd3 * b.mass + b2_mass_x_mag = dtd3 * b2.mass b.vx -= dx * b2_mass_x_mag b.vy -= dy * b2_mass_x_mag @@ -39,6 +42,7 @@ b.x += dt * b.vx b.y += dt * b.vy b.z += dt * b.vz +psyco.bind(advance) def energy(bodies) : e = 0.0 -- http://mail.python.org/mailman/listinfo/python-list