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#[inline(always)]
fn lerp(a: f32, b: f32, t: f32) -> f32 {
return (b - a) * t + a;
}
#[inline(always)]
fn smoothstep(a: f32, b: f32, t: f32) -> f32 {
return (b - a) * (t * (t * 6.0 - 15.0) + 10.0) * t * t * t + a;
}
pub struct NoiseGenerator {
permutations: [i32; 256],
}
impl NoiseGenerator {
pub fn new(seed: u64) -> Self {
const A: u64 = 6364136223846793005;
const C: u64 = 1442695040888963407;
let mut seed = seed;
let mut rand = || {
seed = A.wrapping_mul(seed).wrapping_add(C);
seed
};
let mut permutations = [0i32; 256];
for i in 0..256 {
permutations[i] = rand() as i32;
}
Self { permutations }
}
fn randomize_2_f(&self, x: i32, y: i32) -> f32 {
let sum = y.wrapping_mul(506791837).wrapping_add(x);
(self.permutations[(sum & 0x000000ff) as usize]
.wrapping_add(self.permutations[(sum >> 8 & 0x000000ff) as usize])
.wrapping_add(self.permutations[(sum >> 16 & 0x000000ff) as usize])
.wrapping_add(self.permutations[(sum >> 24 & 0x000000ff) as usize])
% 123456) as f32
/ 123456.0
}
fn random_gradient(&self, x: i32, y: i32) -> [f32; 2] {
let sum = y.wrapping_mul(506791837).wrapping_add(x);
let dir = (self.permutations[(sum & 0x000000ff) as usize]
.wrapping_add(self.permutations[(sum >> 8 & 0x000000ff) as usize])
.wrapping_add(self.permutations[(sum >> 16 & 0x000000ff) as usize])
.wrapping_add(self.permutations[(sum >> 24 & 0x000000ff) as usize])
% 123456) as f32
/ 123456.0
* std::f32::consts::PI
* 8.0;
[dir.cos(), dir.sin()]
}
fn dot_gradient(&self, xi: i32, yi: i32, x: f32, y: f32) -> f32 {
let gradient = self.random_gradient(xi, yi);
let dx = xi as f32 - x;
let dy = yi as f32 - y;
dx * gradient[0] + dy * gradient[1]
}
pub fn perlin(&self, x: f32, y: f32) -> f32 {
let xff = x.floor();
let yff = y.floor();
let xf = xff as i32;
let yf = yff as i32;
let xc = xf + 1;
let yc = yf + 1;
let xo = x - xff;
let yo = y - yff;
smoothstep(
smoothstep(
self.dot_gradient(xf, yf, x, y),
self.dot_gradient(xc, yf, x, y),
xo,
),
smoothstep(
self.dot_gradient(xf, yc, x, y),
self.dot_gradient(xc, yc, x, y),
xo,
),
yo,
) * std::f32::consts::SQRT_2
}
pub fn perlin_octaves(&self, x: f32, y: f32, octaves: usize, gain: f32) -> f32 {
let mut sum = 0.0;
let mut scale = 1.0;
for _ in 0..octaves {
sum = lerp(sum, self.perlin(x / scale, y / scale), scale);
scale *= gain;
}
sum
}
pub fn value(&self, x: f32, y: f32) -> f32 {
let xff = x.floor();
let yff = y.floor();
let xf = xff as i32;
let yf = yff as i32;
let xc = xf + 1;
let yc = yf + 1;
let xo = x - xff;
let yo = y - yff;
return lerp(
lerp(self.randomize_2_f(xf, yf), self.randomize_2_f(xc, yf), xo),
lerp(self.randomize_2_f(xf, yc), self.randomize_2_f(xc, yc), xo),
yo,
);
}
pub fn value_octaves(&self, x: f32, y: f32, octaves: usize, gain: f32) -> f32 {
let mut sum = 0.0;
let mut scale = 1.0;
for _ in 0..octaves {
sum = lerp(sum, self.value(x / scale, y / scale), scale);
scale *= gain;
}
sum
}
}