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benchmark_nbody.t
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benchmark_nbody.t
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local C = terralib.includecstring[[
#include <math.h>
#include <stdlib.h>
#include <stdio.h>
]]
pi = 3.141592653589793
solar_mass = (4 * pi * pi)
days_per_year = 365.24
struct planet {
x : double;
y : double;
z : double;
vx : double;
vy : double;
vz : double;
mass : double;
}
terra advance(nbodies : int, bodies : &planet, dt : double)
for i = 0, nbodies do
var b = &bodies[i]
for j = i + 1, nbodies do
var b2 = &bodies[j]
var dx = b.x - b2.x;
var dy = b.y - b2.y;
var dz = b.z - b2.z;
var distance = C.sqrt(dx * dx + dy * dy + dz * dz);
var mag = dt / (distance * distance * distance);
--C.printf("%f %f %f %f %f\n",dx,dy,dz,distance,mag);
b.vx = b.vx - dx * b2.mass * mag;
b.vy = b.vy - dy * b2.mass * mag;
b.vz = b.vz - dz * b2.mass * mag;
b2.vx = b2.vx + dx * b.mass * mag;
b2.vy = b2.vy + dy * b.mass * mag;
b2.vz = b2.vz + dz * b.mass * mag;
--C.printf("%f %f %f %f %f %f\n",b.vx,b.vy,b.vz,b2.vx,b2.vy,b2.vz)
end
end
for i = 0,nbodies do
var b = &bodies[i]
b.x = b.x + dt * b.vx;
b.y = b.y + dt * b.vy;
b.z = b.z + dt * b.vz;
end
end
terra energy(nbodies : int, bodies : &planet)
var e = 0.0
for i = 0, nbodies do
var b = &bodies[i]
e = e + 0.5 * b.mass * (b.vx * b.vx + b.vy * b.vy + b.vz * b.vz);
for j = i + 1, nbodies do
var b2 = &bodies[j]
var dx = b.x - b2.x
var dy = b.y - b2.y
var dz = b.z - b2.z
var distance = C.sqrt(dx * dx + dy * dy + dz * dz)
e = e - (b.mass * b2.mass) / distance
end
end
return e
end
terra offset_momentum(nbodies : int, bodies : &planet)
var px,py,pz = 0.0,0.0,0.0
for i = 0,nbodies do
px = px + bodies[i].vx * bodies[i].mass
py = py + bodies[i].vy * bodies[i].mass
pz = pz + bodies[i].vz * bodies[i].mass
end
bodies[0].vx = - px / solar_mass
bodies[0].vy = - py / solar_mass
bodies[0].vz = - pz / solar_mass
end
NBODIES = 5
local terra main(argc : int, argv : &&int8)
var bodies = array(
planet { -- sun */
0, 0, 0, 0, 0, 0, solar_mass
},
planet { -- 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
},
planet { -- 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
},
planet { -- 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
},
planet { -- 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
}
)
var n = C.atoi(argv[1])
offset_momentum(NBODIES, bodies)
C.printf ("%.9f\n", energy(NBODIES, bodies))
for i = 0,n do
advance(NBODIES, bodies, 0.01)
end
C.printf ("%.9f\n", energy(NBODIES, bodies));
return 0
end
local N = (...) or "1000000"
local terra run()
main(2,array("what",N))
end
if jit.os ~= "Windows" then
terralib.saveobj("benchmark_nbody",{ main = main }, {"-lm"} )
os.execute("./benchmark_nbody "..tostring(N))
else
terralib.saveobj("benchmark_nbody.exe",{ main = main } )
os.execute("benchmark_nbody.exe "..tostring(N))
end