--- /dev/null
+use stdsimd::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<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<f64> = vec![-0.169075164, -0.169087605];
+#[cfg(test)]
+mod tests {
+ #[test]
+ fn test() {
+ let mut out: Vec<u8> = 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));
+}