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effectcraft/crates/effects/src/sim/engine.rs
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use super::common::{h, hs};
use super::particle_fx::{MERCURY_CACHE, MERCURY_RATE, PS2_CACHE, PS2_RATE, PW_CACHE, PW_RATE, ps2_phys, pw_phys};
use super::sprites::{Shape, Sprite};
use super::{Buf, EffectCtx, Image, IntoParallelRefMutIterator, ParallelIterator, SimCache, params_key_except, value_noise};
// ------------------------------------------------------------------ particle engine
/// Steps per second of the stepped particle simulations.
pub(crate) const SPS: f64 = 60.0;
/// Number of whole steps reached at layer time `t`.
pub(crate) fn steps_at(t: f64) -> u64 {
if t <= 0.0 { 0 } else { (t * SPS + 1e-6).floor() as u64 }
}
#[derive(Clone, Debug)]
pub(crate) struct Particle {
pub p: [f32; 3],
pub v: [f32; 3],
pub age: f32,
pub life: f32,
/// Per-particle random in [0, 1) (size variation, colour jitter…).
pub rnd: f32,
pub id: u32,
}
#[derive(Clone, Debug, Default)]
pub(crate) struct PState {
pub parts: Vec<Particle>,
pub carry: f64,
pub next_id: u32,
/// The birth rates of the steps so far (see [`rates_hash`]): a checkpoint is only resumed
/// from with the same history.
pub hist: u64,
}
/// `hist` after one more step at `rate` particles per second.
fn rates_hash(hist: u64, rate: f64) -> u64 {
(hist ^ rate.to_bits()).wrapping_mul(0x0100_0000_01b3).rotate_left(5)
}
/// Physics configuration (world units; y down).
#[derive(Clone, Copy, Debug)]
pub(crate) struct Phys {
/// Particles per second.
pub rate: f64,
pub life: f32,
pub producer: [f32; 3],
pub radius: [f32; 3],
pub anim: u32,
pub speed: f32,
pub gravity: [f32; 3],
pub resistance: f32,
pub axis: [f32; 3],
pub extra: f32,
pub extra_angle: f32,
pub seed: u32,
pub max: usize,
/// 2D systems keep z = 0.
pub flat: bool,
}
pub(crate) const PW_ANIMS: &[&str] =
&["Explosive", "Direction Axis", "Cone Axis", "Viscouse", "Twirly", "Vortex", "Fire", "Jet Sideways", "Fractal Omni", "Fractal Uni"];
pub(super) fn norm3(v: [f32; 3]) -> [f32; 3] {
let l = (v[0] * v[0] + v[1] * v[1] + v[2] * v[2]).sqrt();
if l > 1e-9 { [v[0] / l, v[1] / l, v[2] / l] } else { [0.0, -1.0, 0.0] }
}
fn rand_dir(i: u32, k: u32, seed: u32, flat: bool) -> [f32; 3] {
if flat {
let a = h(i, k, seed) * std::f32::consts::TAU;
return [a.cos(), a.sin(), 0.0];
}
let z = hs(i, k, seed);
let a = h(i, k + 1, seed) * std::f32::consts::TAU;
let r = (1.0 - z * z).max(0.0).sqrt();
[r * a.cos(), r * a.sin(), z]
}
impl Phys {
fn spawn(&self, id: u32) -> Particle {
let seed = self.seed;
let mut p = [0.0f32; 3];
// Uniform in the producer ellipsoid.
let u = rand_dir(id, 1, seed, self.flat);
let rr = h(id, 3, seed).powf(if self.flat { 0.5 } else { 1.0 / 3.0 });
for k in 0..3 {
p[k] = self.producer[k] + u[k] * self.radius[k] * rr;
}
if self.flat {
p[2] = 0.0;
}
let ax = norm3(self.axis);
let jitter = rand_dir(id, 5, seed, self.flat);
let dir = match self.anim {
1 | 9 => norm3([ax[0] + jitter[0] * 0.08, ax[1] + jitter[1] * 0.08, ax[2] + jitter[2] * 0.08]),
2 => {
let k = (self.extra_angle.to_radians() * 0.5).tan().abs().min(20.0);
norm3([ax[0] + jitter[0] * k * h(id, 8, seed), ax[1] + jitter[1] * k * h(id, 8, seed), ax[2] + jitter[2] * k * h(id, 8, seed)])
}
5 => [jitter[0], 0.0, if self.flat { 0.0 } else { jitter[2] }],
6 => norm3([jitter[0] * 0.25, -1.0, jitter[2] * 0.25]),
7 => norm3([1.0, jitter[1] * 0.05, jitter[2] * 0.05]),
_ => jitter,
};
let sp = self.speed * (0.5 + 0.5 * h(id, 9, seed));
let mut v = [dir[0] * sp, dir[1] * sp, dir[2] * sp];
if self.flat {
v[2] = 0.0;
}
let life = self.life * (0.8 + 0.4 * h(id, 10, seed));
Particle { p, v, age: 0.0, life, rnd: h(id, 11, seed), id }
}
/// One step at the constant [`Phys::rate`] (the tests' reference).
#[cfg(test)]
pub(crate) fn step(&self, st: &mut PState, step: u64) {
self.step_at_rate(st, step, self.rate);
}
/// One step with `rate` particles per second born during it (rather than [`Phys::rate`]):
/// the rate only decides the births, particles already alive move and age as ever.
pub(crate) fn step_at_rate(&self, st: &mut PState, step: u64, rate: f64) {
let dt = (1.0 / SPS) as f32;
let t = step as f32 * dt;
let mut drag = self.resistance;
if self.anim == 3 {
drag += 3.0 * self.extra.max(0.1);
}
let damp = (-drag * dt).exp();
let seed = self.seed;
st.parts.par_iter_mut().for_each(|q| {
let mut a = self.gravity;
match self.anim {
4 => {
// Twirly: swirl around the vertical axis through the producer.
let (dx, dz) = (q.p[0] - self.producer[0], q.p[2] - self.producer[2]);
let k = 4.0 * self.extra;
a[0] += -dz * k;
a[2] += dx * k;
if self.flat {
let dy = q.p[1] - self.producer[1];
a[0] += -dy * k;
a[1] += dx * k;
}
}
5 => {
// Vortex: strong tangential + inward pull.
let (dx, dy) = (q.p[0] - self.producer[0], q.p[1] - self.producer[1]);
let k = 6.0 * self.extra;
a[0] += -dy * k - dx * 2.0;
a[1] += dx * k - dy * 2.0;
}
6 => {
// Fire: buoyant, flickering turbulence.
let n = value_noise(q.p[0] * 8.0, q.p[1] * 8.0, t * 3.0, seed) - 0.5;
a[0] += n * 4.0 * self.extra;
a[1] -= self.gravity[1] * 1.5 + 0.3 * self.extra;
}
8 | 9 => {
let f = 6.0 * self.extra;
a[0] += (value_noise(q.p[0] * 5.0, q.p[1] * 5.0, q.p[2] * 5.0 + t, seed) - 0.5) * f;
a[1] += (value_noise(q.p[0] * 5.0 + 17.0, q.p[1] * 5.0, q.p[2] * 5.0 + t, seed) - 0.5) * f;
if !self.flat {
a[2] += (value_noise(q.p[0] * 5.0, q.p[1] * 5.0 + 31.0, q.p[2] * 5.0 + t, seed) - 0.5) * f;
}
}
_ => {}
}
for k in 0..3 {
q.v[k] = (q.v[k] + a[k] * dt) * damp;
q.p[k] += q.v[k] * dt;
}
if self.flat {
q.p[2] = 0.0;
q.v[2] = 0.0;
}
q.age += dt;
});
st.parts.retain(|q| q.age < q.life);
st.hist = rates_hash(st.hist, rate);
st.carry += rate / SPS;
let n = st.carry.floor() as u32;
st.carry -= n as f64;
for _ in 0..n {
if st.parts.len() >= self.max {
break;
}
let id = st.next_id;
st.next_id = st.next_id.wrapping_add(1);
// Sub-step birth offset keeps continuous streams smooth.
let mut q = self.spawn(id);
let frac = h(id, 12, seed) * dt;
for k in 0..3 {
q.p[k] += q.v[k] * frac;
}
q.age = frac;
st.parts.push(q);
}
}
}
impl Phys {
/// The backend description (per-step and per-spawn constants evaluated here, in f32).
pub(crate) fn desc(&self) -> crate::psim::EngineDesc {
let mut drag = self.resistance;
if self.anim == 3 {
drag += 3.0 * self.extra.max(0.1);
}
let dt = (1.0 / SPS) as f32;
crate::psim::EngineDesc {
life: self.life,
producer: self.producer,
radius: self.radius,
anim: self.anim,
speed: self.speed,
gravity: self.gravity,
axis: norm3(self.axis),
extra: self.extra,
cone: (self.extra_angle.to_radians() * 0.5).tan().abs().min(20.0),
damp: (-drag * dt).exp(),
seed: self.seed,
flat: self.flat,
}
}
}
/// The state at layer time `ctx.time` from the host's particle backend (GPU particles), or
/// `None` (simulate on the CPU). `rates`: the birth rate of each step, when it changes over time
/// (else [`Phys::rate`]).
pub(super) fn accelerated(ctx: &EffectCtx, key: u64, phys: &Phys, rates: Option<&[f64]>) -> Option<std::sync::Arc<PState>> {
let backend = ctx.env.host?.particles()?;
let steps = steps_at(ctx.time);
let births = match rates {
Some(r) => crate::psim::births_at(steps, phys.max, |i| r.get(i as usize).copied().unwrap_or(0.0))?,
None => crate::psim::births(phys.rate, steps, phys.max)?,
};
let req = crate::psim::SimRequest { key, steps, births: &births, system: crate::psim::ParticleSystem::Engine(phys.desc()) };
let parts = backend.simulate(&req)?;
Some(std::sync::Arc::new(PState {
parts: parts.into_iter().map(|q| Particle { p: q.p, v: q.v, age: q.age, life: q.life, rnd: q.rnd, id: q.id }).collect(),
carry: 0.0,
next_id: births.len() as u32,
hist: 0,
}))
}
/// The birth rate (particles per second) of each step up to layer time `ctx.time`: parameter
/// `id` × `k`, sampled where the step starts (a keyframed or expression-driven Birth Rate only
/// decides the births of its own time, #1373). Without a host that evaluates the effect at
/// other times, the current value for every step.
pub(super) fn rate_history(ctx: &EffectCtx, id: &str, k: f64) -> Vec<f64> {
let now = ctx.params.f(id);
// A rate without keyframes or an expression is the same at every step.
let host = ctx.env.host.filter(|h| !h.param_is_static(ctx.env.effect_index, id));
(0..steps_at(ctx.time))
.map(|i| {
let v = host.and_then(|h| h.param_at(ctx.env.effect_index, id, i as f64 / SPS)).map_or(now, |v| v.as_f64());
if v.is_finite() { v.max(0.0) * k } else { 0.0 }
})
.collect()
}
/// Run a particle system through `rates` (one birth rate per step, see [`rate_history`]) with
/// `cache`, resuming only from checkpoints reached with the same rates.
pub(super) fn simulate_rates(cache: &SimCache<PState>, key: u64, phys: &Phys, rates: &[f64]) -> std::sync::Arc<PState> {
// `hist` of the state after each number of steps.
let mut prefix = Vec::with_capacity(rates.len() + 1);
prefix.push(0u64);
for r in rates {
prefix.push(rates_hash(prefix.last().copied().unwrap_or(0), *r));
}
let rate = |i: u64| rates.get(i as usize).copied().unwrap_or(0.0);
cache.run_where(key, rates.len() as u64, PState::default, |st, i| phys.step_at_rate(st, i, rate(i)), |s, st| prefix.get(s as usize) == Some(&st.hist))
}
/// A stepped particle system's particles at `ctx.time`, born at the Birth Rate of their own
/// time (`birthRate` × `k` particles per second, see [`rate_history`]). The cache key is every
/// parameter but Birth Rate (its history is checked through `PState::hist`) and those under
/// `skip`, with `salt`. `gpu`: the host's particle backend may simulate it.
pub(super) struct Stepped<'a> {
pub(super) cache: &'a SimCache<PState>,
pub(super) salt: u64,
pub(super) skip: &'a [&'a str],
pub(super) k: f64,
pub(super) gpu: bool,
}
impl Stepped<'_> {
pub(super) fn state(&self, ctx: &EffectCtx, phys: &Phys) -> std::sync::Arc<PState> {
let rates = rate_history(ctx, "birthRate", self.k);
let mut skip = self.skip.to_vec();
skip.push("birthRate");
let key = params_key_except(ctx, &Buf { img: Image::new(0, 0), offset: [0.0; 2], scale: 1.0 }, self.salt, &skip);
let gpu = if self.gpu { accelerated(ctx, key, phys, Some(&rates)) } else { None };
gpu.unwrap_or_else(|| simulate_rates(self.cache, key, phys, &rates))
}
}
/// CC Particle World.
const PW: Stepped = Stepped { cache: &PW_CACHE, salt: 1, skip: &[PW_EFFECT_CAMERA], k: PW_RATE, gpu: true };
/// CC Particle Systems II.
pub(super) const PS2: Stepped = Stepped { cache: &PS2_CACHE, salt: 2, skip: &[], k: PS2_RATE, gpu: true };
/// CC Mr. Mercury (its blobs are simulated on the CPU).
pub(super) const MERCURY: Stepped = Stepped { cache: &MERCURY_CACHE, salt: 3, skip: &[], k: MERCURY_RATE, gpu: false };
/// CC Particle World's particles at `ctx.time`, born at the Birth Rate of their own time.
pub(super) fn pw_state(ctx: &EffectCtx, phys: &Phys) -> std::sync::Arc<PState> {
PW.state(ctx, phys)
}
/// The live particles of a stepped particle effect (`ec.sim.ccparticleworld`,
/// `ec.sim.ccparticlesystems2`) at `ctx.time`: from the host's particle backend when it has
/// one (GPU particles), else from the CPU simulation. For comparing the two.
pub fn particle_state(id: &str, ctx: &EffectCtx) -> Option<Vec<crate::psim::SimParticle>> {
let st = match id {
"ec.sim.ccparticleworld" => pw_state(ctx, &pw_phys(ctx)),
"ec.sim.ccparticlesystems2" => PS2.state(ctx, &ps2_phys(ctx)),
_ => return None,
};
Some(st.parts.iter().map(|q| crate::psim::SimParticle { p: q.p, v: q.v, age: q.age, life: q.life, rnd: q.rnd, id: q.id }).collect())
}
/// The simulation cache key of a stepped particle effect at a constant Birth Rate (the tests'
/// reference): every parameter but CC Particle World's Effect Camera.
#[cfg(test)]
pub(super) fn sim_key(ctx: &EffectCtx, salt: u64) -> u64 {
params_key_except(ctx, &Buf { img: Image::new(0, 0), offset: [0.0; 2], scale: 1.0 }, salt, &[PW_EFFECT_CAMERA])
}
/// Run a particle system at its constant [`Phys::rate`] to layer time `t` through `cache` (the
/// tests' reference).
#[cfg(test)]
pub(crate) fn simulate(cache: &SimCache<PState>, key: u64, t: f64, phys: &Phys) -> std::sync::Arc<PState> {
cache.run(key, steps_at(t), PState::default, |st, i| phys.step(st, i))
}
pub(crate) const PARTICLE_TYPES: &[&str] =
&["Line", "Shaded Sphere", "Faded Sphere", "Bubble", "Star", "Motion Polygon", "Tri-Polygon", "Cube", "Textured Square"];
/// Colour/size/opacity of a particle at its age.
pub(super) fn particle_look(q: &Particle, birth: [f32; 4], death: [f32; 4], bsize: f32, dsize: f32, svar: f32, max_op: f32) -> ([f32; 4], f32) {
let u = (q.age / q.life.max(1e-4)).clamp(0.0, 1.0);
let size = (bsize + (dsize - bsize) * u) * (1.0 + svar * (q.rnd * 2.0 - 1.0));
let fade = (u * 20.0).min(1.0) * ((1.0 - u) * 5.0).min(1.0);
let c = [birth[0] + (death[0] - birth[0]) * u, birth[1] + (death[1] - birth[1]) * u, birth[2] + (death[2] - birth[2]) * u, max_op * fade];
(c, size.max(0.0))
}
pub(super) fn type_sprite(kind: u32, x: f32, y: f32, r: f32, c: [f32; 4], velocity: [f32; 2], rot: f32) -> Sprite {
let [vx, vy] = velocity;
let vl = (vx * vx + vy * vy).sqrt().max(1e-6);
let shape = match kind {
0 => Shape::Line { dx: -vx / vl * r * 2.0, dy: -vy / vl * r * 2.0 },
1 => Shape::Sphere,
2 => Shape::Faded,
3 => Shape::Bubble,
4 => Shape::Star,
5 => Shape::Line { dx: -vx * 0.05, dy: -vy * 0.05 },
6 => Shape::Tri,
_ => Shape::Square,
};
let rr = match kind {
0 => (r * 0.08).max(0.5),
5 => r * 0.5,
_ => r,
};
Sprite { x, y, r: rr, c, shape, rot }
}
/// CC Particle World's Extras ▸ Effect Camera parameters (id prefix).
pub(super) const PW_EFFECT_CAMERA: &str = "extras/effectCamera/";