performance measurements
Each table row shows performance measurements for this Cython program with a particular command-line input value N.
| N | CPU secs | Elapsed secs | Memory KB | Code B | ≈ CPU Load |
|---|---|---|---|---|---|
| 5,000,000 | 8.33 | 8.33 | 8,944 | 1392 | 0% 100% 0% 0% 1% 0% 0% 1% |
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
n-body Cython program source code
# 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
cdef double PI, SOLAR_MASS, DAYS_PER_YEAR
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) }
SYSTEM = list(BODIES.values())
PAIRS = combinations(SYSTEM)
cdef void advance(double dt, int n, bodies=SYSTEM, pairs=PAIRS):
cdef double x1, y1, z1, x2, y2, z2, dx, dy, dz, mag, m1, m2, b1m, b2m, vx, vy, vz, m
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
cdef void report_energy(bodies=SYSTEM, pairs=PAIRS, double e=0.0):
cdef double x1, y1, z1, x2, y2, z2, dx, dy, dz, m1, m2, vx, vy, vz, m
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)
cdef void offset_momentum(ref, bodies=SYSTEM, double px=0.0, double py=0.0, double pz=0.0):
cdef double vx, vy, vz, m
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, ref='sun'):
offset_momentum(BODIES[ref])
report_energy()
advance(0.01, n)
report_energy()
main(int(sys.argv[1]))
make, command-line, and program output logs
Sun, 23 Apr 2023 09:29:33 GMT MAKE: make[1]: Vstupuje se do adresáře „/home/dundee/work/pybenchmarks/bencher/tmp/nbody/tmp“ cp nbody.cython `echo nbody.cython | sed 's/cython-..//' | sed 's/.cython//'`.pyx cythonize -3 -bi `echo nbody.cython | sed 's/cython-..//' | sed 's/.cython//'`.pyx Compiling /home/dundee/work/pybenchmarks/bencher/tmp/nbody/tmp/nbody.pyx because it changed. [1/1] Cythonizing /home/dundee/work/pybenchmarks/bencher/tmp/nbody/tmp/nbody.pyx make[1]: Opouští se adresář „/home/dundee/work/pybenchmarks/bencher/tmp/nbody/tmp“ 5.24s to complete and log all make actions COMMAND LINE: /usr/bin/python3 -c "import nbody" 5000000 PROGRAM OUTPUT: -0.169075164 -0.169083134