| /* The Great Computer Language Shootout |
| http://shootout.alioth.debian.org/ |
| contributed by Isaac Gouy */ |
| |
| var PI = 3.141592653589793; |
| var SOLAR_MASS = 4 * PI * PI; |
| var DAYS_PER_YEAR = 365.24; |
| |
| function Body(x,y,z,vx,vy,vz,mass){ |
| this.x = x; |
| this.y = y; |
| this.z = z; |
| this.vx = vx; |
| this.vy = vy; |
| this.vz = vz; |
| this.mass = mass; |
| } |
| |
| Body.prototype.offsetMomentum = function(px,py,pz) { |
| this.vx = -px / SOLAR_MASS; |
| this.vy = -py / SOLAR_MASS; |
| this.vz = -pz / SOLAR_MASS; |
| return this; |
| } |
| |
| function Jupiter(){ |
| return new Body( |
| 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 |
| ); |
| } |
| |
| function Saturn(){ |
| return new Body( |
| 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 |
| ); |
| } |
| |
| function Uranus(){ |
| return new Body( |
| 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 |
| ); |
| } |
| |
| function Neptune(){ |
| return new Body( |
| 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 |
| ); |
| } |
| |
| function Sun(){ |
| return new Body(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, SOLAR_MASS); |
| } |
| |
| |
| function NBodySystem(bodies){ |
| this.bodies = bodies; |
| var px = 0.0; |
| var py = 0.0; |
| var pz = 0.0; |
| var size = this.bodies.length; |
| for (var i=0; i<size; i++){ |
| var b = this.bodies[i]; |
| var m = b.mass; |
| px += b.vx * m; |
| py += b.vy * m; |
| pz += b.vz * m; |
| } |
| this.bodies[0].offsetMomentum(px,py,pz); |
| } |
| |
| NBodySystem.prototype.advance = function(dt){ |
| var dx, dy, dz, distance, mag; |
| var size = this.bodies.length; |
| |
| for (var i=0; i<size; i++) { |
| var bodyi = this.bodies[i]; |
| for (var j=i+1; j<size; j++) { |
| var bodyj = this.bodies[j]; |
| dx = bodyi.x - bodyj.x; |
| dy = bodyi.y - bodyj.y; |
| dz = bodyi.z - bodyj.z; |
| |
| distance = Math.sqrt(dx*dx + dy*dy + dz*dz); |
| mag = dt / (distance * distance * distance); |
| |
| bodyi.vx -= dx * bodyj.mass * mag; |
| bodyi.vy -= dy * bodyj.mass * mag; |
| bodyi.vz -= dz * bodyj.mass * mag; |
| |
| bodyj.vx += dx * bodyi.mass * mag; |
| bodyj.vy += dy * bodyi.mass * mag; |
| bodyj.vz += dz * bodyi.mass * mag; |
| } |
| } |
| |
| for (var i=0; i<size; i++) { |
| var body = this.bodies[i]; |
| body.x += dt * body.vx; |
| body.y += dt * body.vy; |
| body.z += dt * body.vz; |
| } |
| } |
| |
| NBodySystem.prototype.energy = function(){ |
| var dx, dy, dz, distance; |
| var e = 0.0; |
| var size = this.bodies.length; |
| |
| for (var i=0; i<size; i++) { |
| var bodyi = this.bodies[i]; |
| |
| e += 0.5 * bodyi.mass * |
| ( bodyi.vx * bodyi.vx |
| + bodyi.vy * bodyi.vy |
| + bodyi.vz * bodyi.vz ); |
| |
| for (var j=i+1; j<size; j++) { |
| var bodyj = this.bodies[j]; |
| dx = bodyi.x - bodyj.x; |
| dy = bodyi.y - bodyj.y; |
| dz = bodyi.z - bodyj.z; |
| |
| distance = Math.sqrt(dx*dx + dy*dy + dz*dz); |
| e -= (bodyi.mass * bodyj.mass) / distance; |
| } |
| } |
| return e; |
| } |
| |
| var ret = 0; |
| |
| for ( var n = 3; n <= 24; n *= 2 ) { |
| (function(){ |
| var bodies = new NBodySystem( Array( |
| Sun(),Jupiter(),Saturn(),Uranus(),Neptune() |
| )); |
| var max = n * 100; |
| |
| ret += bodies.energy(); |
| for (var i=0; i<max; i++){ |
| bodies.advance(0.01); |
| } |
| ret += bodies.energy(); |
| })(); |
| } |
| |
| var expected = -1.3524862408537381; |
| if (ret != expected) |
| throw "ERROR: bad result: expected " + expected + " but got " + ret; |
| |