Created
April 22, 2013 21:16
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function runtIt(n) { | |
'use strict'; | |
/* The Computer Language Benchmarks Game | |
http://benchmarksgame.alioth.debian.org/ | |
contributed by Isaac Gouy | |
Optimized by Roy Williams | |
"Deoptimized" to plain JS objects by Anvaka*/ | |
/** | |
* @type {number} | |
*/ | |
var PI = 3.141592653589793; | |
/** | |
* @type {number} | |
*/ | |
var SOLAR_MASS = 4 * PI * PI; | |
/** | |
* @type {number} | |
*/ | |
var DAYS_PER_YEAR = 365.24; | |
/** | |
* @param {number} x | |
* @param {number} y | |
* @param {number} z | |
* @param {number} vx | |
* @param {number} vy | |
* @param {number} vz | |
* @param {number} mass | |
* @constructor | |
*/ | |
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; | |
} | |
/** | |
* @param {number} px | |
* @param {number} py | |
* @param {number} pz | |
*/ | |
Body.prototype.offsetMomentum = function(px,py,pz) { | |
this.VX = -px / SOLAR_MASS; | |
this.VY = -py / SOLAR_MASS; | |
this.VZ = -pz / SOLAR_MASS; | |
}; | |
/** | |
* @param {Array.<Body>} bodies | |
* @constructor | |
*/ | |
function NBodySystem(bodies){ | |
/** | |
* @type {Array.<Body>} | |
*/ | |
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); | |
} | |
/** | |
* @param {number} dt | |
*/ | |
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]; | |
var imass = bodyi.MASS; | |
for (var j=i+1; j<size; j++) { | |
var bodyj = this.bodies[j]; | |
var jmass = bodyj.MASS; | |
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 * jmass * mag; | |
bodyi.VY -= dy * jmass * mag; | |
bodyi.VZ -= dz * jmass * mag; | |
bodyj.VX += dx * imass * mag; | |
bodyj.VY += dy * imass * mag; | |
bodyj.VZ += dz * imass * mag; | |
} | |
bodyi.X += dt * bodyi.VX; | |
bodyi.Y += dt * bodyi.VY; | |
bodyi.Z += dt * bodyi.VZ; | |
} | |
}; | |
/** | |
* @return {number} | |
*/ | |
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 sun = new Body(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, SOLAR_MASS), | |
jupiter = 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 | |
), | |
saturn = 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 | |
), | |
uranus = 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 | |
), | |
neptune = 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 | |
); | |
var bodies = new NBodySystem(new Array(sun, jupiter, saturn, uranus, neptune)); | |
print(bodies.energy().toFixed(9)); | |
for (var i=0; i<n; i++){ bodies.advance(0.01); } | |
print(bodies.energy().toFixed(9)); | |
} | |
/** | |
* @type {number} | |
*/ | |
var n = arguments[0]; | |
runtIt(n); |
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