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- # The Computer Language Benchmarks Game
- # http://benchmarksgame.alioth.debian.org/
- #
- # originally by Kevin Carson
- # modified by Tupteq, Fredrik Johansson, and Daniel Nanz
- # modified by Maciej Fijalkowski
- # 2to3
- import sys
- def combinations(l):
- result = []
- for x in range(len(l) - 1):
- ls = l[x+1:]
- for y in ls:
- result.append((l[x],y))
- return result
- PI = 3.14159265358979323
- SOLAR_MASS = 4 * PI * PI
- DAYS_PER_YEAR = 365.24
- BODIES = {
- 'sun': ([0.0, 0.0, 0.0], [0.0, 0.0, 0.0], SOLAR_MASS),
- 'jupiter': ([4.84143144246472090e+00,
- -1.16032004402742839e+00,
- -1.03622044471123109e-01],
- [1.66007664274403694e-03 * DAYS_PER_YEAR,
- 7.69901118419740425e-03 * DAYS_PER_YEAR,
- -6.90460016972063023e-05 * DAYS_PER_YEAR],
- 9.54791938424326609e-04 * SOLAR_MASS),
- 'saturn': ([8.34336671824457987e+00,
- 4.12479856412430479e+00,
- -4.03523417114321381e-01],
- [-2.76742510726862411e-03 * DAYS_PER_YEAR,
- 4.99852801234917238e-03 * DAYS_PER_YEAR,
- 2.30417297573763929e-05 * DAYS_PER_YEAR],
- 2.85885980666130812e-04 * SOLAR_MASS),
- 'uranus': ([1.28943695621391310e+01,
- -1.51111514016986312e+01,
- -2.23307578892655734e-01],
- [2.96460137564761618e-03 * DAYS_PER_YEAR,
- 2.37847173959480950e-03 * DAYS_PER_YEAR,
- -2.96589568540237556e-05 * DAYS_PER_YEAR],
- 4.36624404335156298e-05 * SOLAR_MASS),
- 'neptune': ([1.53796971148509165e+01,
- -2.59193146099879641e+01,
- 1.79258772950371181e-01],
- [2.68067772490389322e-03 * DAYS_PER_YEAR,
- 1.62824170038242295e-03 * DAYS_PER_YEAR,
- -9.51592254519715870e-05 * DAYS_PER_YEAR],
- 5.15138902046611451e-05 * SOLAR_MASS)
- }
- def advance(dt, n, bodies, pairs):
- for i in range(n):
- for (([x1, y1, z1], v1, m1),
- ([x2, y2, z2], v2, m2)) in pairs:
- dx = x1 - x2
- dy = y1 - y2
- dz = z1 - z2
- mag = dt * ((dx * dx + dy * dy + dz * dz) ** (-1.5))
- b1m = m1 * mag
- b2m = m2 * mag
- v1[0] -= dx * b2m
- v1[1] -= dy * b2m
- v1[2] -= dz * b2m
- v2[0] += dx * b1m
- v2[1] += dy * b1m
- v2[2] += dz * b1m
- for (r, [vx, vy, vz], m) in bodies:
- r[0] += dt * vx
- r[1] += dt * vy
- r[2] += dt * vz
- def report_energy(bodies, pairs):
- e = 0.0
- for (((x1, y1, z1), v1, m1),
- ((x2, y2, z2), v2, m2)) in pairs:
- dx = x1 - x2
- dy = y1 - y2
- dz = z1 - z2
- e -= (m1 * m2) / ((dx * dx + dy * dy + dz * dz) ** 0.5)
- for (r, [vx, vy, vz], m) in bodies:
- e += m * (vx * vx + vy * vy + vz * vz) / 2.
- print("%.9f" % e)
- def offset_momentum(ref, bodies):
- px = py = pz = 0.0
- for (r, [vx, vy, vz], m) in bodies:
- px -= vx * m
- py -= vy * m
- pz -= vz * m
- (r, v, m) = ref
- v[0] = px / m
- v[1] = py / m
- v[2] = pz / m
- def main(n, bodies=BODIES, ref='sun'):
- system = list(bodies.values())
- pairs = combinations(system)
- offset_momentum(bodies[ref], system)
- report_energy(system, pairs)
- advance(0.01, n, system, pairs)
- report_energy(system, pairs)
- if __name__ == '__main__':
- main(int(sys.argv[1]), bodies=BODIES, ref='sun')
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