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//! Fixed-capacity, no-alloc particle system for embedded environments.
//!
//! Each particle is rendered as a camera-facing billboard quad whose colour
//! and size interpolate linearly between their birth and death values.
//!
//! # Example
//! ```
//! use embedded_3dgfx::particles::{ParticleSpawn, ParticleSystem};
//! use nalgebra::{Point3, Vector3};
//! use embedded_graphics_core::pixelcolor::Rgb565;
//!
//! let mut sys: ParticleSystem<64> = ParticleSystem::new();
//! sys.spawn(ParticleSpawn {
//! position: Point3::new(0.0, 0.0, 0.0),
//! velocity: Vector3::new(0.0, 2.0, 0.0),
//! acceleration: Vector3::zeros(),
//! color_start: Rgb565::new(31, 40, 0),
//! color_end: Rgb565::new(10, 0, 0),
//! size_start: 0.2,
//! size_end: 0.0,
//! lifetime: 1.5,
//! });
//! sys.update(0.016, Vector3::new(0.0, -9.81, 0.0));
//! ```
use embedded_graphics_core::pixelcolor::{Rgb565, RgbColor};
use nalgebra::{Point3, Vector3};
use crate::billboard::Billboard;
/// State for a single live particle.
#[derive(Clone, Copy)]
pub struct Particle {
/// Current world-space position.
pub position: Point3<f32>,
/// Current velocity (world units/second).
pub velocity: Vector3<f32>,
/// Constant per-particle acceleration (applied in addition to gravity).
pub acceleration: Vector3<f32>,
/// Colour at birth (t = 0).
pub color_start: Rgb565,
/// Colour at death (t = 1).
pub color_end: Rgb565,
/// Billboard half-size at birth.
pub size_start: f32,
/// Billboard half-size at death. Use `0.0` to shrink out.
pub size_end: f32,
/// Elapsed lifetime in seconds.
pub age: f32,
/// Total lifetime in seconds.
pub lifetime: f32,
pub(crate) active: bool,
}
impl Particle {
/// Normalised age: `0.0` at birth → `1.0` at death.
#[inline]
pub fn t(&self) -> f32 {
if self.lifetime > 0.0 {
(self.age / self.lifetime).clamp(0.0, 1.0)
} else {
1.0
}
}
/// Current interpolated colour.
#[inline]
pub fn color(&self) -> Rgb565 {
let t = self.t();
let r = lerp_ch(self.color_start.r(), self.color_end.r(), t, 31);
let g = lerp_ch(self.color_start.g(), self.color_end.g(), t, 63);
let b = lerp_ch(self.color_start.b(), self.color_end.b(), t, 31);
Rgb565::new(r, g, b)
}
/// Current interpolated size.
#[inline]
pub fn size(&self) -> f32 {
self.size_start + self.t() * (self.size_end - self.size_start)
}
}
#[inline]
fn lerp_ch(start: u8, end: u8, t: f32, max: u8) -> u8 {
(start as f32 + t * (end as f32 - start as f32)).clamp(0.0, max as f32) as u8
}
/// Parameters for spawning a single particle.
#[derive(Clone, Copy)]
pub struct ParticleSpawn {
/// Initial world-space position.
pub position: Point3<f32>,
/// Initial velocity (world units/second).
pub velocity: Vector3<f32>,
/// Per-particle constant acceleration (added to gravity in `update`).
pub acceleration: Vector3<f32>,
/// Colour at birth.
pub color_start: Rgb565,
/// Colour at death.
pub color_end: Rgb565,
/// Billboard size at birth.
pub size_start: f32,
/// Billboard size at death.
pub size_end: f32,
/// Lifetime in seconds.
pub lifetime: f32,
}
/// Fixed-capacity particle system.
///
/// `N` is the maximum number of simultaneously live particles. Slots are
/// reused in-place so spawning never allocates.
pub struct ParticleSystem<const N: usize> {
slots: [Particle; N],
active: usize,
}
impl<const N: usize> ParticleSystem<N> {
/// Create a new, empty system.
pub fn new() -> Self {
Self {
slots: core::array::from_fn(|_| Particle {
position: Point3::new(0.0, 0.0, 0.0),
velocity: Vector3::new(0.0, 0.0, 0.0),
acceleration: Vector3::new(0.0, 0.0, 0.0),
color_start: Rgb565::new(0, 0, 0),
color_end: Rgb565::new(0, 0, 0),
size_start: 0.0,
size_end: 0.0,
age: 0.0,
lifetime: 0.0,
active: false,
}),
active: 0,
}
}
/// Spawn a particle. Returns `true` on success, `false` if the pool is
/// at capacity (`N` particles already live).
pub fn spawn(&mut self, s: ParticleSpawn) -> bool {
for slot in &mut self.slots {
if !slot.active {
*slot = Particle {
position: s.position,
velocity: s.velocity,
acceleration: s.acceleration,
color_start: s.color_start,
color_end: s.color_end,
size_start: s.size_start,
size_end: s.size_end,
age: 0.0,
lifetime: s.lifetime,
active: true,
};
self.active += 1;
return true;
}
}
false
}
/// Advance all particles by `dt` seconds.
///
/// `gravity` is applied uniformly to every particle's velocity. Pass
/// `Vector3::zeros()` to disable gravity for this system.
pub fn update(&mut self, dt: f32, gravity: Vector3<f32>) {
let mut live = 0usize;
for slot in &mut self.slots {
if !slot.active {
continue;
}
slot.velocity += (slot.acceleration + gravity) * dt;
slot.position += slot.velocity * dt;
slot.age += dt;
if slot.age >= slot.lifetime {
slot.active = false;
} else {
live += 1;
}
}
self.active = live;
}
/// Number of currently live particles.
#[inline]
pub fn active_count(&self) -> usize {
self.active
}
/// `true` if no particles are live.
#[inline]
pub fn is_empty(&self) -> bool {
self.active == 0
}
/// Iterate over live particles (read-only).
pub fn iter_active(&self) -> impl Iterator<Item = &Particle> {
self.slots.iter().filter(|p| p.active)
}
/// Record all live particles as camera-facing billboard quads into
/// `commands`.
///
/// Each particle emits two
/// [`DrawPrimitive::ColoredTriangleWithDepth`][crate::DrawPrimitive::ColoredTriangleWithDepth]
/// commands. Billboard orientation uses world-up `(0, 1, 0)`, which is
/// correct for all but extreme pitch angles.
///
/// Returns the number of particles successfully projected and emitted.
/// Particles that project behind the camera or outside the frustum are
/// silently skipped.
pub fn record<const MAX: usize>(
&self,
engine: &crate::K3dengine,
commands: &mut crate::command_buffer::CommandBuffer<MAX>,
) -> usize {
use crate::command_buffer::RenderCommand;
if self.active == 0 {
return 0;
}
let camera_up = Vector3::new(0.0, 1.0, 0.0);
let vp = engine.camera.vp_matrix;
let mut emitted = 0usize;
for particle in self.iter_active() {
let size = particle.size();
if size <= 0.0 {
continue;
}
let color = particle.color();
let billboard = Billboard::new(particle.position, size, color);
let quad = billboard.generate_quad(engine.camera.position, camera_up);
// Triangle 1: bottom-left (0), bottom-right (1), top-right (2)
let Some((pts1, _)) = engine.transform_points_with_w(&[0usize, 1, 2], &quad, vp) else {
continue;
};
// Triangle 2: bottom-left (0), top-right (2), top-left (3)
let Some((pts2, _)) = engine.transform_points_with_w(&[0usize, 2, 3], &quad, vp) else {
continue;
};
let _ = commands.push(RenderCommand::Draw(
crate::DrawPrimitive::ColoredTriangleWithDepth {
points: [pts1[0].xy(), pts1[1].xy(), pts1[2].xy()],
depths: [pts1[0].z as f32, pts1[1].z as f32, pts1[2].z as f32],
color,
},
));
let _ = commands.push(RenderCommand::Draw(
crate::DrawPrimitive::ColoredTriangleWithDepth {
points: [pts2[0].xy(), pts2[1].xy(), pts2[2].xy()],
depths: [pts2[0].z as f32, pts2[1].z as f32, pts2[2].z as f32],
color,
},
));
emitted += 1;
}
emitted
}
}
impl<const N: usize> Default for ParticleSystem<N> {
fn default() -> Self {
Self::new()
}
}
#[cfg(test)]
mod tests {
extern crate std;
use super::*;
use embedded_graphics_core::pixelcolor::WebColors;
fn default_spawn(lifetime: f32) -> ParticleSpawn {
ParticleSpawn {
position: Point3::new(0.0, 0.0, 0.0),
velocity: Vector3::new(0.0, 1.0, 0.0),
acceleration: Vector3::zeros(),
color_start: Rgb565::CSS_RED,
color_end: Rgb565::CSS_BLUE,
size_start: 1.0,
size_end: 0.0,
lifetime,
}
}
#[test]
fn test_spawn_increments_count() {
let mut sys: ParticleSystem<4> = ParticleSystem::new();
assert_eq!(sys.active_count(), 0);
assert!(sys.spawn(default_spawn(2.0)));
assert_eq!(sys.active_count(), 1);
}
#[test]
fn test_pool_full_returns_false() {
let mut sys: ParticleSystem<2> = ParticleSystem::new();
assert!(sys.spawn(default_spawn(2.0)));
assert!(sys.spawn(default_spawn(2.0)));
assert!(!sys.spawn(default_spawn(2.0)));
}
#[test]
fn test_update_kills_expired_particles() {
let mut sys: ParticleSystem<4> = ParticleSystem::new();
sys.spawn(default_spawn(0.1));
sys.update(0.2, Vector3::zeros());
assert_eq!(sys.active_count(), 0);
}
#[test]
fn test_update_moves_particle_with_gravity() {
let mut sys: ParticleSystem<4> = ParticleSystem::new();
sys.spawn(default_spawn(5.0));
let y0 = sys.iter_active().next().unwrap().position.y;
sys.update(0.1, Vector3::new(0.0, -9.81, 0.0));
let y1 = sys.iter_active().next().unwrap().position.y;
// Gravity slows the upward velocity but initial velocity dominates briefly
assert!(y1 != y0);
}
#[test]
fn test_slot_reused_after_expiry() {
let mut sys: ParticleSystem<1> = ParticleSystem::new();
assert!(sys.spawn(default_spawn(0.05)));
sys.update(0.1, Vector3::zeros());
assert_eq!(sys.active_count(), 0);
assert!(sys.spawn(default_spawn(2.0)));
assert_eq!(sys.active_count(), 1);
}
#[test]
fn test_color_at_birth_equals_start() {
let mut sys: ParticleSystem<4> = ParticleSystem::new();
sys.spawn(default_spawn(2.0));
let p = sys.iter_active().next().unwrap();
assert_eq!(p.t(), 0.0);
assert_eq!(p.color(), Rgb565::CSS_RED);
}
#[test]
fn test_size_shrinks_over_time() {
let mut sys: ParticleSystem<4> = ParticleSystem::new();
sys.spawn(default_spawn(2.0));
let s0 = sys.iter_active().next().unwrap().size();
sys.update(1.0, Vector3::zeros());
let s1 = sys.iter_active().next().unwrap().size();
assert!(s1 < s0);
}
}