rust/crates/core_simd/examples/nbody.rs

#![feature(portable_simd)]
extern crate std_float;

/// Benchmarks game nbody code
/// Taken from the `packed_simd` crate
/// Run this benchmark with `cargo test --example nbody`
mod nbody {
    use core_simd::simd::*;
    #[allow(unused)] // False positive?
    use std_float::StdFloat;

    use std::f64::consts::PI;
    const SOLAR_MASS: f64 = 4.0 * PI * PI;
    const DAYS_PER_YEAR: f64 = 365.24;

    #[derive(Debug, Clone, Copy)]
    struct Body {
        pub x: f64x4,
        pub v: f64x4,
        pub mass: f64,
    }

    const N_BODIES: usize = 5;
    const BODIES: [Body; N_BODIES] = [
        // sun:
        Body {
            x: f64x4::from_array([0., 0., 0., 0.]),
            v: f64x4::from_array([0., 0., 0., 0.]),
            mass: SOLAR_MASS,
        },
        // jupiter:
        Body {
            x: f64x4::from_array([
                4.84143144246472090e+00,
                -1.16032004402742839e+00,
                -1.03622044471123109e-01,
                0.,
            ]),
            v: f64x4::from_array([
                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::from_array([
                8.34336671824457987e+00,
                4.12479856412430479e+00,
                -4.03523417114321381e-01,
                0.,
            ]),
            v: f64x4::from_array([
                -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::from_array([
                1.28943695621391310e+01,
                -1.51111514016986312e+01,
                -2.23307578892655734e-01,
                0.,
            ]),
            v: f64x4::from_array([
                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::from_array([
                1.53796971148509165e+01,
                -2.59193146099879641e+01,
                1.79258772950371181e-01,
                0.,
            ]),
            v: f64x4::from_array([
                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,
        },
    ];

    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 * Simd::splat(m_ratio);
        }
    }

    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).horizontal_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).horizontal_sum().sqrt()
            }
        }
        e
    }

    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];
        for i in (0..N).step_by(2) {
            let d2s = f64x2::from_array([
                (r[i] * r[i]).horizontal_sum(),
                (r[i + 1] * r[i + 1]).horizontal_sum(),
            ]);
            let dmags = f64x2::splat(dt) / (d2s * d2s.sqrt());
            mag[i] = dmags[0];
            mag[i + 1] = dmags[1];
        }

        let mut i = 0;
        for j in 0..N_BODIES {
            for k in j + 1..N_BODIES {
                let f = r[i] * Simd::splat(mag[i]);
                bodies[j].v -= f * Simd::splat(bodies[k].mass);
                bodies[k].v += f * Simd::splat(bodies[j].mass);
                i += 1
            }
        }
        for body in bodies {
            body.x += Simd::splat(dt) * body.v
        }
    }

    pub fn run(n: usize) -> (f64, f64) {
        let mut bodies = BODIES;
        offset_momentum(&mut bodies);
        let energy_before = energy(&bodies);
        for _ in 0..n {
            advance(&mut bodies, 0.01);
        }
        let energy_after = energy(&bodies);

        (energy_before, energy_after)
    }
}

#[cfg(test)]
mod tests {
    // Good enough for demonstration purposes, not going for strictness here.
    fn approx_eq_f64(a: f64, b: f64) -> bool {
        (a - b).abs() < 0.00001
    }
    #[test]
    fn test() {
        const OUTPUT: [f64; 2] = [-0.169075164, -0.169087605];
        let (energy_before, energy_after) = super::nbody::run(1000);
        assert!(approx_eq_f64(energy_before, OUTPUT[0]));
        assert!(approx_eq_f64(energy_after, OUTPUT[1]));
    }
}

fn main() {
    {
        let (energy_before, energy_after) = nbody::run(1000);
        println!("Energy before: {energy_before}");
        println!("Energy after:  {energy_after}");
    }
}