#![feature(platform_intrinsics, repr_simd)] use core_simd::*; use std::f64::consts::PI; const SOLAR_MASS: f64 = 4.0 * PI * PI; const DAYS_PER_YEAR: f64 = 365.24; pub struct Body { pub x: f64x4, pub v: f64x4, pub mass: f64, } const N_BODIES: usize = 5; #[allow(clippy::unreadable_literal)] const BODIES: [Body; N_BODIES] = [ // sun: Body { x: f64x4::new(0., 0., 0., 0.), v: f64x4::new(0., 0., 0., 0.), mass: SOLAR_MASS, }, // jupiter: Body { x: f64x4::new( 4.84143144246472090e+00, -1.16032004402742839e+00, -1.03622044471123109e-01, 0., ), v: f64x4::new( 1.66007664274403694e-03 * DAYS_PER_YEAR, 7.69901118419740425e-03 * DAYS_PER_YEAR, -6.90460016972063023e-05 * DAYS_PER_YEAR, 0., ), mass: 9.54791938424326609e-04 * SOLAR_MASS, }, // saturn: Body { x: f64x4::new( 8.34336671824457987e+00, 4.12479856412430479e+00, -4.03523417114321381e-01, 0., ), v: f64x4::new( -2.76742510726862411e-03 * DAYS_PER_YEAR, 4.99852801234917238e-03 * DAYS_PER_YEAR, 2.30417297573763929e-05 * DAYS_PER_YEAR, 0., ), mass: 2.85885980666130812e-04 * SOLAR_MASS, }, // uranus: Body { x: f64x4::new( 1.28943695621391310e+01, -1.51111514016986312e+01, -2.23307578892655734e-01, 0., ), v: f64x4::new( 2.96460137564761618e-03 * DAYS_PER_YEAR, 2.37847173959480950e-03 * DAYS_PER_YEAR, -2.96589568540237556e-05 * DAYS_PER_YEAR, 0., ), mass: 4.36624404335156298e-05 * SOLAR_MASS, }, // neptune: Body { x: f64x4::new( 1.53796971148509165e+01, -2.59193146099879641e+01, 1.79258772950371181e-01, 0., ), v: f64x4::new( 2.68067772490389322e-03 * DAYS_PER_YEAR, 1.62824170038242295e-03 * DAYS_PER_YEAR, -9.51592254519715870e-05 * DAYS_PER_YEAR, 0., ), mass: 5.15138902046611451e-05 * SOLAR_MASS, }, ]; pub fn offset_momentum(bodies: &mut [Body; N_BODIES]) { let (sun, rest) = bodies.split_at_mut(1); let sun = &mut sun[0]; for body in rest { let m_ratio = body.mass / SOLAR_MASS; sun.v -= body.v * m_ratio; } } pub fn energy(bodies: &[Body; N_BODIES]) -> f64 { let mut e = 0.; for i in 0..N_BODIES { let bi = &bodies[i]; e += bi.mass * (bi.v * bi.v).sum() * 0.5; for bj in bodies.iter().take(N_BODIES).skip(i + 1) { let dx = bi.x - bj.x; e -= bi.mass * bj.mass / (dx * dx).sum().sqrt() } } e } pub fn advance(bodies: &mut [Body; N_BODIES], dt: f64) { const N: usize = N_BODIES * (N_BODIES - 1) / 2; // compute distance between bodies: let mut r = [f64x4::splat(0.); N]; { let mut i = 0; for j in 0..N_BODIES { for k in j + 1..N_BODIES { r[i] = bodies[j].x - bodies[k].x; i += 1; } } } let mut mag = [0.0; N]; let mut i = 0; while i < N { let d2s = f64x2::new((r[i] * r[i]).sum(), (r[i + 1] * r[i + 1]).sum()); let dmags = f64x2::splat(dt) / (d2s * d2s.sqrte()); dmags.write_to_slice_unaligned(&mut mag[i..]); i += 2; } i = 0; for j in 0..N_BODIES { for k in j + 1..N_BODIES { let f = r[i] * mag[i]; bodies[j].v -= f * bodies[k].mass; bodies[k].v += f * bodies[j].mass; i += 1 } } for body in bodies { body.x += dt * body.v } } pub fn run_k(n: usize, k: K) -> (f64, f64) where K: Fn(&mut [Body; N_BODIES], f64), { let mut bodies = BODIES; offset_momentum(&mut bodies); let energy_before = energy(&bodies); for _ in 0..n { k(&mut bodies, 0.01); } let energy_after = energy(&bodies); (energy_before, energy_after) } pub fn run(n: usize) -> (f64, f64) { run_k(n, advance) } const OUTPUT: Vec = vec![-0.169075164, -0.169087605]; #[cfg(test)] mod tests { #[test] fn test() { let mut out: Vec = Vec::new(); run(&mut out, 1000, 0); for &(size, a_e, b_e) in crate::RESULTS { let (a, b) = super::run(size); assert_eq!(format!("{:.9}", a), a_e); assert_eq!(format!("{:.9}", b), b_e); } } } fn main() { //let n: usize = std::env::args() //.nth(1) //.expect("need one arg") //.parse() //.expect("argument should be a usize"); //run(&mut std::io::stdout(), n, alg); println!("{:?}", run_k<10>(10, 10)); }