Fixed 3D rendering
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@ -1,5 +1,5 @@
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use std::sync::Mutex;
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use cgmath::Vector3;
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use cgmath::{InnerSpace, Vector3};
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use crate::body::Body;
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use rayon::prelude::*;
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@ -11,10 +11,9 @@ pub struct Simulator {
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timewarp: u32
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}
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pub fn distance_squared(a: [f64; 2], b: [f64; 2]) -> f64 {
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let dx = a[0] - b[0];
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let dy = a[1] - b[1];
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dx * dx + dy * dy
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pub fn distance_squared(a: Vector3<f64>, b: Vector3<f64>) -> f64 {
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let d = a - b;
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d.magnitude2()
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}
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const MAX_TIMEWARP: u32 = 536870912;
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@ -52,78 +51,62 @@ impl Simulator {
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let masses: Vec<f64> = self.bodies.iter().map(|b| b.mass).collect();
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fn compute_accelerations(states: &[State], masses: &[f64]) -> Vec<[f64; 2]> {
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fn compute_accelerations(states: &[State], masses: &[f64]) -> Vec<Vector3<f64>> {
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let n = states.len();
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let accels = (0..n).map(|_| Mutex::new([0.0, 0.0])).collect::<Vec<_>>();
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let accels = (0..n).map(|_| Mutex::new(Vector3::new(0.0, 0.0, 0.0))).collect::<Vec<_>>();
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(0..n).into_par_iter().for_each(|i| {
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for j in (i + 1)..n {
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let dx = states[j].position[0] - states[i].position[0];
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let dy = states[j].position[1] - states[i].position[1];
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let dist_sq = dx * dx + dy * dy;
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let r = states[j].position - states[i].position;
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let dist_sq = r.magnitude2();
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let dist = dist_sq.sqrt();
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if dist < 1e-3 {
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if dist < 1e-8 {
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continue;
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}
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let force = G * masses[i] * masses[j] / dist_sq;
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let ax = force * dx / dist;
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let ay = force * dy / dist;
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let accel = force * r / (dist * masses[i]);
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let accel_j = -force * r / (dist * masses[j]);
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{
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let mut a_i_lock = accels[i].lock().unwrap();
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a_i_lock[0] += ax / masses[i];
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a_i_lock[1] += ay / masses[i];
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*a_i_lock += accel;
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}
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{
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let mut a_j_lock = accels[j].lock().unwrap();
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a_j_lock[0] -= ax / masses[j];
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a_j_lock[1] -= ay / masses[j];
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*a_j_lock += accel_j;
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}
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}
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});
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accels
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.into_iter()
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.map(|mutex| mutex.into_inner().unwrap())
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.collect()
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accels.into_iter().map(|mutex| mutex.into_inner().unwrap()).collect()
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}
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let k1_pos = original_states.iter().map(|s| s.velocity).collect::<Vec<_>>();
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let k1_vel = compute_accelerations(&original_states, &masses);
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let mut temp_states = original_states
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.iter()
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.enumerate()
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.map(|(i, s)| State {
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position: Vector3::new(s.position[0], s.position[1], 0.0),
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velocity: Vector3::new(
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s.velocity[0] + k1_vel[i][0] * dt / 2.0,
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s.velocity[1] + k1_vel[i][1] * dt / 2.0,
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0.0,
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),
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})
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.collect::<Vec<_>>();
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let mut temp_states: Vec<State> = original_states.iter().enumerate().map(|(i, s)| {
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State {
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position: s.position + k1_pos[i] * (dt / 2.0),
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velocity: s.velocity + k1_vel[i] * (dt / 2.0),
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}
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}).collect();
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let k2_pos = temp_states.iter().map(|s| s.velocity).collect::<Vec<_>>();
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let k2_vel = compute_accelerations(&temp_states, &masses);
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for i in 0..n {
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temp_states[i].position[0] = original_states[i].position[0] + k2_pos[i][0] * dt / 2.0;
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temp_states[i].position[1] = original_states[i].position[1] + k2_pos[i][1] * dt / 2.0;
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temp_states[i].velocity[0] = original_states[i].velocity[0] + k2_vel[i][0] * dt / 2.0;
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temp_states[i].velocity[1] = original_states[i].velocity[1] + k2_vel[i][1] * dt / 2.0;
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temp_states[i].position = original_states[i].position + k2_pos[i] * (dt / 2.0);
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temp_states[i].velocity = original_states[i].velocity + k2_vel[i] * (dt / 2.0);
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}
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let k3_pos = temp_states.iter().map(|s| s.velocity).collect::<Vec<_>>();
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let k3_vel = compute_accelerations(&temp_states, &masses);
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for i in 0..n {
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temp_states[i].position[0] = original_states[i].position[0] + k3_pos[i][0] * dt;
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temp_states[i].position[1] = original_states[i].position[1] + k3_pos[i][1] * dt;
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temp_states[i].velocity[0] = original_states[i].velocity[0] + k3_vel[i][0] * dt;
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temp_states[i].velocity[1] = original_states[i].velocity[1] + k3_vel[i][1] * dt;
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temp_states[i].position = original_states[i].position + k3_pos[i] * dt;
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temp_states[i].velocity = original_states[i].velocity + k3_vel[i] * dt;
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}
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let k4_pos = temp_states.iter().map(|s| s.velocity).collect::<Vec<_>>();
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@ -132,15 +115,8 @@ impl Simulator {
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for i in 0..n {
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let body = &mut self.bodies[i];
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body.position[0] += (dt / 6.0)
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* (k1_pos[i][0] + 2.0 * k2_pos[i][0] + 2.0 * k3_pos[i][0] + k4_pos[i][0]);
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body.position[1] += (dt / 6.0)
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* (k1_pos[i][1] + 2.0 * k2_pos[i][1] + 2.0 * k3_pos[i][1] + k4_pos[i][1]);
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body.velocity[0] += (dt / 6.0)
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* (k1_vel[i][0] + 2.0 * k2_vel[i][0] + 2.0 * k3_vel[i][0] + k4_vel[i][0]);
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body.velocity[1] += (dt / 6.0)
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* (k1_vel[i][1] + 2.0 * k2_vel[i][1] + 2.0 * k3_vel[i][1] + k4_vel[i][1]);
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body.position += (k1_pos[i] + 2.0 * k2_pos[i] + 2.0 * k3_pos[i] + k4_pos[i]) * (dt / 6.0);
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body.velocity += (k1_vel[i] + 2.0 * k2_vel[i] + 2.0 * k3_vel[i] + k4_vel[i]) * (dt / 6.0);
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}
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self.time += dt;
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@ -170,11 +146,10 @@ impl Simulator {
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}
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}
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pub fn reset_timewarp(&mut self) {
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self.timewarp = 1;
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}
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pub fn get_timewarp(&self) -> u32 {
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self.timewarp
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}
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