// Copyright 2014 The Rust Project Developers. See the COPYRIGHT // file at the top-level directory of this distribution and at // http://rust-lang.org/COPYRIGHT. // // Licensed under the Apache License, Version 2.0 or the MIT license // , at your // option. This file may not be copied, modified, or distributed // except according to those terms. use std::os; static PI: f64 = 3.141592653589793; static SOLAR_MASS: f64 = 4.0 * PI * PI; static YEAR: f64 = 365.24; static N_BODIES: uint = 5; static BODIES: [Planet, ..N_BODIES] = [ // Sun Planet { x: [ 0.0, 0.0, 0.0 ], v: [ 0.0, 0.0, 0.0 ], mass: SOLAR_MASS, }, // Jupiter Planet { x: [ 4.84143144246472090e+00, -1.16032004402742839e+00, -1.03622044471123109e-01, ], v: [ 1.66007664274403694e-03 * YEAR, 7.69901118419740425e-03 * YEAR, -6.90460016972063023e-05 * YEAR, ], mass: 9.54791938424326609e-04 * SOLAR_MASS, }, // Saturn Planet { x: [ 8.34336671824457987e+00, 4.12479856412430479e+00, -4.03523417114321381e-01, ], v: [ -2.76742510726862411e-03 * YEAR, 4.99852801234917238e-03 * YEAR, 2.30417297573763929e-05 * YEAR, ], mass: 2.85885980666130812e-04 * SOLAR_MASS, }, // Uranus Planet { x: [ 1.28943695621391310e+01, -1.51111514016986312e+01, -2.23307578892655734e-01, ], v: [ 2.96460137564761618e-03 * YEAR, 2.37847173959480950e-03 * YEAR, -2.96589568540237556e-05 * YEAR, ], mass: 4.36624404335156298e-05 * SOLAR_MASS, }, // Neptune Planet { x: [ 1.53796971148509165e+01, -2.59193146099879641e+01, 1.79258772950371181e-01, ], v: [ 2.68067772490389322e-03 * YEAR, 1.62824170038242295e-03 * YEAR, -9.51592254519715870e-05 * YEAR, ], mass: 5.15138902046611451e-05 * SOLAR_MASS, }, ]; struct Planet { x: [f64, ..3], v: [f64, ..3], mass: f64, } fn advance(bodies: &mut [Planet, ..N_BODIES], dt: f64, steps: i32) { let mut d = [ 0.0, ..3 ]; for _ in range(0, steps) { for i in range(0u, N_BODIES) { for j in range(i + 1, N_BODIES) { d[0] = bodies[i].x[0] - bodies[j].x[0]; d[1] = bodies[i].x[1] - bodies[j].x[1]; d[2] = bodies[i].x[2] - bodies[j].x[2]; let d2 = d[0]*d[0] + d[1]*d[1] + d[2]*d[2]; let mag = dt / (d2 * d2.sqrt()); let a_mass = bodies[i].mass; let b_mass = bodies[j].mass; bodies[i].v[0] -= d[0] * b_mass * mag; bodies[i].v[1] -= d[1] * b_mass * mag; bodies[i].v[2] -= d[2] * b_mass * mag; bodies[j].v[0] += d[0] * a_mass * mag; bodies[j].v[1] += d[1] * a_mass * mag; bodies[j].v[2] += d[2] * a_mass * mag; } } for a in bodies.mut_iter() { a.x[0] += dt * a.v[0]; a.x[1] += dt * a.v[1]; a.x[2] += dt * a.v[2]; } } } fn energy(bodies: &[Planet, ..N_BODIES]) -> f64 { let mut e = 0.0; let mut d = [ 0.0, ..3 ]; for i in range(0u, N_BODIES) { for k in range(0u, 3) { e += bodies[i].mass * bodies[i].v[k] * bodies[i].v[k] / 2.0; } for j in range(i + 1, N_BODIES) { for k in range(0u, 3) { d[k] = bodies[i].x[k] - bodies[j].x[k]; } let dist = (d[0]*d[0] + d[1]*d[1] + d[2]*d[2]).sqrt(); e -= bodies[i].mass * bodies[j].mass / dist; } } e } fn offset_momentum(bodies: &mut [Planet, ..N_BODIES]) { for i in range(0u, N_BODIES) { for k in range(0u, 3) { bodies[0].v[k] -= bodies[i].v[k] * bodies[i].mass / SOLAR_MASS; } } } fn main() { let args = os::args(); let args = if os::getenv("RUST_BENCH").is_some() { vec!(~"", ~"1000") } else if args.len() <= 1u { vec!(~"", ~"1000") } else { args.move_iter().collect() }; let n: i32 = from_str::(*args.get(1)).unwrap(); let mut bodies = BODIES; offset_momentum(&mut bodies); println!("{:.9f}", energy(&bodies) as f64); advance(&mut bodies, 0.01, n); println!("{:.9f}", energy(&bodies) as f64); }