use super::NoiseSource;
pub struct Simplex {
seed: u64,
frequency: f64,
}
impl Simplex {
const F2: f64 = 0.3660254037844386; const G2: f64 = 0.21132486540518713;
pub fn new(seed: u64) -> Self {
Self {
seed,
frequency: 1.0,
}
}
pub fn with_frequency(mut self, frequency: f64) -> Self {
self.frequency = frequency;
self
}
fn hash(&self, x: i32, y: i32) -> usize {
let h = (x as u64)
.wrapping_mul(374761393)
.wrapping_add((y as u64).wrapping_mul(668265263))
.wrapping_add(self.seed);
(h ^ (h >> 13)).wrapping_mul(1274126177) as usize % 12
}
fn grad(hash: usize, x: f64, y: f64) -> f64 {
const GRAD: [(f64, f64); 12] = [
(1.0, 1.0),
(-1.0, 1.0),
(1.0, -1.0),
(-1.0, -1.0),
(1.0, 0.0),
(-1.0, 0.0),
(0.0, 1.0),
(0.0, -1.0),
(1.0, 1.0),
(-1.0, 1.0),
(1.0, -1.0),
(-1.0, -1.0),
];
let (gx, gy) = GRAD[hash];
gx * x + gy * y
}
}
impl NoiseSource for Simplex {
fn sample(&self, x: f64, y: f64) -> f64 {
let x = x * self.frequency;
let y = y * self.frequency;
let s = (x + y) * Self::F2;
let i = (x + s).floor() as i32;
let j = (y + s).floor() as i32;
let t = (i + j) as f64 * Self::G2;
let x0 = x - (i as f64 - t);
let y0 = y - (j as f64 - t);
let (i1, j1) = if x0 > y0 { (1, 0) } else { (0, 1) };
let x1 = x0 - i1 as f64 + Self::G2;
let y1 = y0 - j1 as f64 + Self::G2;
let x2 = x0 - 1.0 + 2.0 * Self::G2;
let y2 = y0 - 1.0 + 2.0 * Self::G2;
let mut n = 0.0;
for &(dx, dy, di, dj) in &[(x0, y0, 0, 0), (x1, y1, i1, j1), (x2, y2, 1, 1)] {
let t = 0.5 - dx * dx - dy * dy;
if t > 0.0 {
let t2 = t * t;
n += t2 * t2 * Self::grad(self.hash(i + di, j + dj), dx, dy);
}
}
70.0 * n
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn simplex_deterministic() {
let noise = Simplex::new(12345);
assert_eq!(noise.sample(1.5, 2.5), noise.sample(1.5, 2.5));
}
#[test]
fn simplex_range() {
let noise = Simplex::new(42);
for i in 0..50 {
for j in 0..50 {
let v = noise.sample(i as f64 * 0.1, j as f64 * 0.1);
assert!((-1.0..=1.0).contains(&v), "Value {} out of range", v);
}
}
}
}