#![allow(dead_code)]
pub struct Lcg {
state: u64,
}
impl Lcg {
pub fn new(seed: u64) -> Self {
Lcg { state: seed }
}
pub fn next_u64(&mut self) -> u64 {
self.state = self
.state
.wrapping_mul(6_364_136_223_846_793_005)
.wrapping_add(1_442_695_040_888_963_407);
self.state
}
pub fn next_f32(&mut self) -> f32 {
(self.next_u64() >> 11) as f32 / (1u64 << 53) as f32
}
pub fn next_range_f32(&mut self, lo: f32, hi: f32) -> f32 {
lo + self.next_f32() * (hi - lo)
}
pub fn next_range_u64(&mut self, n: u64) -> u64 {
if n == 0 {
return 0;
}
self.next_u64() % n
}
}
pub fn lcg_shuffle<T>(rng: &mut Lcg, slice: &mut [T]) {
let n = slice.len();
for i in (1..n).rev() {
let j = rng.next_range_u64((i + 1) as u64) as usize;
slice.swap(i, j);
}
}
pub fn lcg_sample_uniform(rng: &mut Lcg, n: usize) -> Vec<f32> {
(0..n).map(|_| rng.next_f32()).collect()
}
pub fn lcg_choose<'a, T>(rng: &mut Lcg, slice: &'a [T]) -> Option<&'a T> {
if slice.is_empty() {
return None;
}
let idx = rng.next_range_u64(slice.len() as u64) as usize;
Some(&slice[idx])
}
pub fn lcg_normal(rng: &mut Lcg) -> f32 {
use std::f32::consts::TAU;
let u1 = (rng.next_f32() + f32::EPSILON).min(1.0 - f32::EPSILON);
let u2 = rng.next_f32();
(-2.0 * u1.ln()).sqrt() * (TAU * u2).cos()
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_lcg_range() {
let mut rng = Lcg::new(42);
for _ in 0..100 {
let v = rng.next_f32();
assert!((0.0..1.0).contains(&v), "out of range: {v}");
}
}
#[test]
fn test_lcg_deterministic() {
let mut r1 = Lcg::new(1234);
let mut r2 = Lcg::new(1234);
for _ in 0..10 {
assert_eq!(r1.next_u64(), r2.next_u64());
}
}
#[test]
fn test_range_f32() {
let mut rng = Lcg::new(7);
for _ in 0..100 {
let v = rng.next_range_f32(5.0, 10.0);
assert!((5.0..10.0).contains(&v), "out of range: {v}");
}
}
#[test]
fn test_range_u64() {
let mut rng = Lcg::new(3);
for _ in 0..50 {
let v = rng.next_range_u64(10);
assert!(v < 10, "out of range: {v}");
}
}
#[test]
fn test_shuffle_length_preserved() {
let mut rng = Lcg::new(99);
let mut v: Vec<u32> = (0..10).collect();
lcg_shuffle(&mut rng, &mut v);
assert_eq!(v.len(), 10);
let mut sorted = v.clone();
sorted.sort();
assert_eq!(sorted, (0u32..10).collect::<Vec<_>>());
}
#[test]
fn test_sample_uniform_count() {
let mut rng = Lcg::new(0);
let s = lcg_sample_uniform(&mut rng, 20);
assert_eq!(s.len(), 20);
}
#[test]
fn test_choose_empty() {
let mut rng = Lcg::new(1);
let empty: &[i32] = &[];
assert!(lcg_choose(&mut rng, empty).is_none());
}
#[test]
fn test_normal_roughly_unit_std() {
let mut rng = Lcg::new(123456);
let samples: Vec<f32> = (0..1000).map(|_| lcg_normal(&mut rng)).collect();
let mean: f32 = samples.iter().sum::<f32>() / samples.len() as f32;
assert!(mean.abs() < 0.2, "mean too large: {mean}");
}
}