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// The Computer Language Benchmarks Game
// http://benchmarksgame.alioth.debian.org/
//
// contributed by the Rust Project Developers
// Copyright (c) 2011-2014 The Rust Project Developers
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions
// are met:
//
// - Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// - Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer in
// the documentation and/or other materials provided with the
// distribution.
//
// - Neither the name of "The Computer Language Benchmarks Game" nor
// the name of "The Computer Language Shootout Benchmarks" nor the
// names of its contributors may be used to endorse or promote
// products derived from this software without specific prior
// written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
// FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
// COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
// INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
// (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
// SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
// HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
// OF THE POSSIBILITY OF SUCH DAMAGE.
use std::mem;
use std::ops::{Add, Sub, Mul};
const PI: f64 = 3.141592653589793;
const SOLAR_MASS: f64 = 4.0 * PI * PI;
const YEAR: f64 = 365.24;
const N_BODIES: usize = 5;
const N_PAIRS: usize = N_BODIES * (N_BODIES - 1) / 2;
const BODIES: [Planet; N_BODIES] = [
// Sun
Planet {
pos: Vec3(0.0, 0.0, 0.0),
vel: Vec3(0.0, 0.0, 0.0),
mass: SOLAR_MASS,
},
// Jupiter
Planet {
pos: Vec3(4.84143144246472090e+00,
-1.16032004402742839e+00,
-1.03622044471123109e-01),
vel: Vec3(1.66007664274403694e-03 * YEAR,
7.69901118419740425e-03 * YEAR,
-6.90460016972063023e-05 * YEAR),
mass: 9.54791938424326609e-04 * SOLAR_MASS,
},
// Saturn
Planet {
pos: Vec3(8.34336671824457987e+00,
4.12479856412430479e+00,
-4.03523417114321381e-01),
vel: Vec3(-2.76742510726862411e-03 * YEAR,
4.99852801234917238e-03 * YEAR,
2.30417297573763929e-05 * YEAR),
mass: 2.85885980666130812e-04 * SOLAR_MASS,
},
// Uranus
Planet {
pos: Vec3(1.28943695621391310e+01,
-1.51111514016986312e+01,
-2.23307578892655734e-01),
vel: Vec3(2.96460137564761618e-03 * YEAR,
2.37847173959480950e-03 * YEAR,
-2.96589568540237556e-05 * YEAR),
mass: 4.36624404335156298e-05 * SOLAR_MASS,
},
// Neptune
Planet {
pos: Vec3(1.53796971148509165e+01,
-2.59193146099879641e+01,
1.79258772950371181e-01),
vel: Vec3(2.68067772490389322e-03 * YEAR,
1.62824170038242295e-03 * YEAR,
-9.51592254519715870e-05 * YEAR),
mass: 5.15138902046611451e-05 * SOLAR_MASS,
},
];
/// A 3d Vector type with oveloaded operators to improve readability.
#[derive(Clone, Copy)]
struct Vec3(pub f64, pub f64, pub f64);
impl Vec3 {
fn zero() -> Self { Vec3(0.0, 0.0, 0.0) }
fn norm(&self) -> f64 { self.squared_norm().sqrt() }
fn squared_norm(&self) -> f64 {
self.0 * self.0 + self.1 * self.1 + self.2 * self.2
}
}
impl Add for Vec3 {
type Output = Self;
fn add(self, rhs: Self) -> Self {
Vec3(self.0 + rhs.0, self.1 + rhs.1, self.2 + rhs.2)
}
}
impl Sub for Vec3 {
type Output = Self;
fn sub(self, rhs: Self) -> Self {
Vec3(self.0 - rhs.0, self.1 - rhs.1, self.2 - rhs.2)
}
}
impl Mul<f64> for Vec3 {
type Output = Self;
fn mul(self, rhs: f64) -> Self {
Vec3(self.0 * rhs, self.1 * rhs, self.2 * rhs)
}
}
#[derive(Clone, Copy)]
struct Planet {
pos: Vec3,
vel: Vec3,
mass: f64,
}
/// Computes all pairwise position differences between the planets.
fn pairwise_diffs(bodies: &[Planet; N_BODIES], diff: &mut [Vec3; N_PAIRS]) {
let mut bodies = bodies.iter();
let mut diff = diff.iter_mut();
while let Some(bi) = bodies.next() {
for bj in bodies.clone() {
*diff.next().unwrap() = bi.pos - bj.pos;
}
}
}
/// Computes the magnitude of the force between each pair of planets.
fn magnitudes(diff: &[Vec3; N_PAIRS], dt: f64, mag: &mut [f64; N_PAIRS]) {
for (mag, diff) in mag.iter_mut().zip(diff.iter()) {
let d2 = diff.squared_norm();
*mag = dt / (d2 * d2.sqrt());
}
}
/// Updates the velocities of the planets by computing their gravitational
/// accelerations and performing one step of Euler integration.
fn update_velocities(bodies: &mut [Planet; N_BODIES], dt: f64,
diff: &mut [Vec3; N_PAIRS], mag: &mut [f64; N_PAIRS]) {
pairwise_diffs(bodies, diff);
magnitudes(&diff, dt, mag);
let mut bodies = &mut bodies[..];
let mut mag = mag.iter();
let mut diff = diff.iter();
while let Some(bi) = shift_mut_ref(&mut bodies) {
for bj in bodies.iter_mut() {
let diff = *diff.next().unwrap();
let mag = *mag.next().unwrap();
bi.vel = bi.vel - diff * (bj.mass * mag);
bj.vel = bj.vel + diff * (bi.mass * mag);
}
}
}
/// Advances the solar system by one timestep by first updating the
/// velocities and then integrating the positions using the updated velocities.
///
/// Note: the `diff` & `mag` arrays are effectively scratch space. They're
/// provided as arguments to avoid re-zeroing them every time `advance` is
/// called.
fn advance(mut bodies: &mut [Planet; N_BODIES], dt: f64,
diff: &mut [Vec3; N_PAIRS], mag: &mut [f64; N_PAIRS]) {
update_velocities(bodies, dt, diff, mag);
for body in bodies.iter_mut() {
body.pos = body.pos + body.vel * dt;
}
}
/// Computes the total energy of the solar system.
fn energy(bodies: &[Planet; N_BODIES]) -> f64 {
let mut e = 0.0;
let mut bodies = bodies.iter();
while let Some(bi) = bodies.next() {
e += bi.vel.squared_norm() * bi.mass / 2.0
- bi.mass * bodies.clone()
.map(|bj| bj.mass / (bi.pos - bj.pos).norm())
.fold(0.0, |a, b| a + b);
}
e
}
/// Offsets the sun's velocity to make the overall momentum of the system zero.
fn offset_momentum(bodies: &mut [Planet; N_BODIES]) {
let p = bodies.iter().fold(Vec3::zero(), |v, b| v + b.vel * b.mass);
bodies[0].vel = p * (-1.0 / bodies[0].mass);
}
fn main() {
let n = if std::env::var_os("RUST_BENCH").is_some() {
5000000
} else {
std::env::args().nth(1)
.and_then(|arg| arg.parse().ok())
.unwrap_or(1000)
};
let mut bodies = BODIES;
let mut diff = [Vec3::zero(); N_PAIRS];
let mut mag = [0.0f64; N_PAIRS];
offset_momentum(&mut bodies);
println!("{:.9}", energy(&bodies));
for _ in 0..n {
advance(&mut bodies, 0.01, &mut diff, &mut mag);
}
println!("{:.9}", energy(&bodies));
}
/// Pop a mutable reference off the head of a slice, mutating the slice to no
/// longer contain the mutable reference. This is a safe operation because the
/// two mutable borrows are entirely disjoint.
fn shift_mut_ref<'a, T>(r: &mut &'a mut [T]) -> Option<&'a mut T> {
let res = mem::replace(r, &mut []);
if res.is_empty() { return None }
let (a, b) = res.split_at_mut(1);
*r = b;
Some(&mut a[0])
}
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