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 performance measurements

Each table row shows performance measurements for this Ruby 2.0 program with a particular command-line input value N.

N	CPU secs	Elapsed secs	Memory KB	Code B	≈ CPU Load
500,000	6.80	6.81	6,172	1137	0% 7% 95% 0%
5,000,000	67.23	67.25	6,168	1137	0% 0% 0% 100%
50,000,000	667.68	667.84	6,172	1137	99% 0% 1% 0%

Read the ↓ make, command line, and program output logs to see how this program was run.

Read n-body benchmark to see what this program should do.

 notes

ruby 2.0.0p0 (2013-02-24 revision 39474) [x86_64-linux]

 n-body Ruby 2.0 #2 program source code

# The Computer Language Benchmarks Game
# http://benchmarksgame.alioth.debian.org
#
# Optimized for Ruby by Jesse Millikan
# From version ported by Michael Neumann from the C gcc version, 
# which was written by Christoph Bauer. 

SOLAR_MASS = 4 * Math::PI**2
DAYS_PER_YEAR = 365.24

class Planet
 attr_accessor :x, :y, :z, :vx, :vy, :vz, :mass

 def initialize(x, y, z, vx, vy, vz, mass)
  @x, @y, @z = x, y, z
  @vx, @vy, @vz = vx * DAYS_PER_YEAR, vy * DAYS_PER_YEAR, vz * DAYS_PER_YEAR 
  @mass = mass * SOLAR_MASS
 end

 def move_from_i(bodies, nbodies, dt, i)
  while i < nbodies
   b2 = bodies[i]
   dx = @x - b2.x
   dy = @y - b2.y
   dz = @z - b2.z

   distance = Math.sqrt(dx * dx + dy * dy + dz * dz)
   mag = dt / (distance * distance * distance)
   b_mass_mag, b2_mass_mag = @mass * mag, b2.mass * mag

   @vx -= dx * b2_mass_mag
   @vy -= dy * b2_mass_mag
   @vz -= dz * b2_mass_mag
   b2.vx += dx * b_mass_mag
   b2.vy += dy * b_mass_mag
   b2.vz += dz * b_mass_mag
   i += 1 
  end

  @x += dt * @vx
  @y += dt * @vy
  @z += dt * @vz
 end
end

def energy(bodies)
  e = 0.0
  nbodies = bodies.size
 
  for i in 0 ... nbodies 
    b = bodies[i]
    e += 0.5 * b.mass * (b.vx * b.vx + b.vy * b.vy + b.vz * b.vz)
    for j in (i + 1) ... nbodies
      b2 = bodies[j]
      dx = b.x - b2.x
      dy = b.y - b2.y
      dz = b.z - b2.z
      distance = Math.sqrt(dx * dx + dy * dy + dz * dz)
      e -= (b.mass * b2.mass) / distance
    end
  end
  e
end

def offset_momentum(bodies)
  px, py, pz = 0.0, 0.0, 0.0

  for b in bodies
    m = b.mass
    px += b.vx * m
    py += b.vy * m
    pz += b.vz * m
  end

  b = bodies[0]
  b.vx = - px / SOLAR_MASS
  b.vy = - py / SOLAR_MASS
  b.vz = - pz / SOLAR_MASS
end

BODIES = [
  # sun
  Planet.new(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0),

  # jupiter
  Planet.new(
    4.84143144246472090e+00,
    -1.16032004402742839e+00,
    -1.03622044471123109e-01,
    1.66007664274403694e-03,
    7.69901118419740425e-03,
    -6.90460016972063023e-05,
    9.54791938424326609e-04),

  # saturn
  Planet.new(
    8.34336671824457987e+00,
    4.12479856412430479e+00,
    -4.03523417114321381e-01,
    -2.76742510726862411e-03,
    4.99852801234917238e-03,
    2.30417297573763929e-05,
    2.85885980666130812e-04),

  # uranus
  Planet.new(
    1.28943695621391310e+01,
    -1.51111514016986312e+01,
    -2.23307578892655734e-01,
    2.96460137564761618e-03,
    2.37847173959480950e-03,
    -2.96589568540237556e-05,
    4.36624404335156298e-05),

  # neptune
  Planet.new(
    1.53796971148509165e+01,
    -2.59193146099879641e+01,
    1.79258772950371181e-01,
    2.68067772490389322e-03,
    1.62824170038242295e-03,
    -9.51592254519715870e-05,
    5.15138902046611451e-05)
]


n = Integer(ARGV[0])

offset_momentum(BODIES)

puts "%.9f" % energy(BODIES)

nbodies = BODIES.size
dt = 0.01

n.times do
  i = 0
  while i < nbodies
    b = BODIES[i]
    b.move_from_i(BODIES, nbodies, dt, i + 1)
    i += 1
  end
end

puts "%.9f" % energy(BODIES)

 make, command-line, and program output logs

Mon, 25 Feb 2013 06:36:12 GMT

COMMAND LINE:
/usr/local/src/ruby-2.0.0-p0/ruby nbody.yarv-2.yarv 50000000

PROGRAM OUTPUT:
-0.169075164
-0.169059907

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