diff options
Diffstat (limited to 'v_windows/v/examples/nbody.v')
-rw-r--r-- | v_windows/v/examples/nbody.v | 129 |
1 files changed, 129 insertions, 0 deletions
diff --git a/v_windows/v/examples/nbody.v b/v_windows/v/examples/nbody.v new file mode 100644 index 0000000..0f719e8 --- /dev/null +++ b/v_windows/v/examples/nbody.v @@ -0,0 +1,129 @@ +// Ported based on https://benchmarksgame-team.pages.debian.net/benchmarksgame/program/nbody-go-3.html +// Output: +// -0.169075164 +// -0.169059907 +import math + +const ( + solar_mass = 39.47841760435743197 // 4.0 * math.Pi * math.Pi + days_per_year = 365.24 + c_n = 5 +) + +struct Position { +pub mut: + x f64 + y f64 + z f64 +} + +struct Momentum { +pub mut: + x f64 + y f64 + z f64 + m f64 +} + +struct System { +pub mut: + v []Momentum + s []Position +} + +fn advance(mut sys System, dt f64) { + for i in 0 .. c_n - 1 { + mut vx := sys.v[i].x + mut vy := sys.v[i].y + mut vz := sys.v[i].z + + for j := i + 1; j < c_n; j++ { + dx := sys.s[i].x - sys.s[j].x + dy := sys.s[i].y - sys.s[j].y + dz := sys.s[i].z - sys.s[j].z + + dsquared := dx * dx + dy * dy + dz * dz + distance := math.sqrt(dsquared) + mag := (dt / (dsquared * distance)) + mi := sys.v[i].m + + vx -= dx * sys.v[j].m * mag + vy -= dy * sys.v[j].m * mag + vz -= dz * sys.v[j].m * mag + + sys.v[j].x += dx * mi * mag + sys.v[j].y += dy * mi * mag + sys.v[j].z += dz * mi * mag + } + sys.v[i].x = vx + sys.v[i].y = vy + sys.v[i].z = vz + } + + for i in 0 .. c_n { + sys.s[i].x += dt * sys.v[i].x + sys.s[i].y += dt * sys.v[i].y + sys.s[i].z += dt * sys.v[i].z + } +} + +fn offsetmomentum(mut sys System) { + mut px := f64(0) + mut py := f64(0) + mut pz := f64(0) + + for i in 0 .. c_n { + px += sys.v[i].x * sys.v[i].m + py += sys.v[i].y * sys.v[i].m + pz += sys.v[i].z * sys.v[i].m + } + sys.v[0].x = -px / solar_mass + sys.v[0].y = -py / solar_mass + sys.v[0].z = -pz / solar_mass +} + +fn energy(sys System) f64 { + mut e := f64(0) + for i in 0 .. c_n { + e += 0.5 * sys.v[i].m * (sys.v[i].x * sys.v[i].x + sys.v[i].y * sys.v[i].y + + sys.v[i].z * sys.v[i].z) + for j := i + 1; j < c_n; j++ { + dx := sys.s[i].x - sys.s[j].x + dy := sys.s[i].y - sys.s[j].y + dz := sys.s[i].z - sys.s[j].z + distance := math.sqrt(dx * dx + dy * dy + dz * dz) + e -= (sys.v[i].m * sys.v[j].m) / distance + } + } + return e +} + +fn arr_momentum() []Momentum { + return [ + Momentum{0.0, 0.0, 0.0, solar_mass}, + Momentum{1.66007664274403694e-03 * days_per_year, 7.69901118419740425e-03 * days_per_year, -6.90460016972063023e-05 * days_per_year, 9.54791938424326609e-04 * solar_mass}, + Momentum{-2.76742510726862411e-03 * days_per_year, 4.99852801234917238e-03 * days_per_year, 2.30417297573763929e-05 * days_per_year, 2.85885980666130812e-04 * solar_mass}, + Momentum{2.96460137564761618e-03 * days_per_year, 2.37847173959480950e-03 * days_per_year, -2.96589568540237556e-05 * days_per_year, 4.36624404335156298e-05 * solar_mass}, + Momentum{2.68067772490389322e-03 * days_per_year, 1.62824170038242295e-03 * days_per_year, -9.51592254519715870e-05 * days_per_year, 5.15138902046611451e-05 * solar_mass}, + ] +} + +fn arr_position() []Position { + return [ + Position{0.0, 0.0, 0.0}, + Position{4.84143144246472090e+00, -1.16032004402742839e+00, -1.03622044471123109e-01}, + Position{8.34336671824457987e+00, 4.12479856412430479e+00, -4.03523417114321381e-01}, + Position{1.28943695621391310e+01, -1.51111514016986312e+01, -2.23307578892655734e-01}, + Position{1.53796971148509165e+01, -2.59193146099879641e+01, 1.79258772950371181e-01}, + ] +} + +fn main() { + mut sys := &System{arr_momentum(), arr_position()} + offsetmomentum(mut sys) + println('${energy(sys):.9f}') //-0.169075164 + for _ in 0 .. 50_000_000 { + advance(mut sys, 0.01) + } + println('${energy(sys):.9f}') //-0.169059907 +} |