//! Deterministic, reproducible RNG (spec §4.4, §7). //! //! [`Rng`] wraps [`rand_chacha::ChaCha8Rng`] — a portable, byte-stable stream //! cipher RNG. The same seed yields the same sequence on every machine and //! every run; we never touch `thread_rng`/`rand::random()`. //! //! The keystone feature is [`Rng::fork`]: it derives an *independent* child //! stream from the parent's **basis seed** plus a label. Forking does not draw //! from or otherwise mutate the parent (`fork(&self)`), so a child stream is a //! pure function of `(basis_seed, label)` — independent of how many values were //! pulled from the parent first. The [`Pipeline`](crate) leans on this to give //! each pass its own sub-stream keyed by `"#"`, which is //! what makes inserting or reordering a pass non-destructive to existing seeds. use rand_chacha::ChaCha8Rng; // `rand_core` is not a direct dependency; reach its traits through the // re-export on `rand_chacha` so the two stay version-locked. `Rng` carries // `next_u64`; `SeedableRng` carries `seed_from_u64`. use rand_chacha::rand_core::{Rng as _, SeedableRng}; /// A deterministic random number generator backed by ChaCha8. /// /// Construct one with [`Rng::from_seed`], draw values with [`range`](Rng::range), /// [`chance`](Rng::chance), [`choose`](Rng::choose) and [`shuffle`](Rng::shuffle), /// and derive isolated child streams with [`fork`](Rng::fork). #[derive(Clone, Debug)] pub struct Rng { /// The stable basis used for all forks: the seed this `Rng` was built from. /// Forking mixes *this* (never the live ChaCha state) with the label, so a /// fork is independent of how many draws the parent has taken. basis_seed: u64, /// The live ChaCha8 stream that actually produces random words. inner: ChaCha8Rng, } impl Rng { /// Create an `Rng` from a 64-bit seed, storing the seed as the fork basis. /// /// The seed is expanded into ChaCha8's 256-bit key by ChaCha8's own /// portable `seed_from_u64`, so two `Rng`s built from the same `u64` /// produce identical streams everywhere. pub fn from_seed(seed: u64) -> Self { Self { basis_seed: seed, inner: ChaCha8Rng::seed_from_u64(seed), } } /// Derive an independent child `Rng` from a stable basis (this `Rng`'s /// originating seed) combined with `label`. /// /// This **does not** advance or otherwise mutate `self` (note `&self`), and /// the result depends only on `(self.basis_seed, label)` — never on how many /// values have already been drawn from `self`. Distinct labels (including /// `"name#0"` vs `"name#1"`) yield distinct streams. /// /// The label→seed mix is the explicit, fixed integer routine in /// [`mix_seed`] (splitmix64 + FNV-1a), chosen because it is stable across /// runs and crate versions. We deliberately avoid /// `std::collections::hash_map::DefaultHasher`, whose output is /// unspecified and version-unstable (spec §7). pub fn fork(&self, label: &str) -> Rng { Rng::from_seed(mix_seed(self.basis_seed, label)) } /// Draw a `u64` of raw randomness from the live stream. fn next_u64(&mut self) -> u64 { self.inner.next_u64() } /// Return an integer in the **half-open** range `[lo, hi)` — `lo` inclusive, /// `hi` exclusive (so `range(0, 3)` yields one of `0, 1, 2`). /// /// If `hi <= lo` the range is empty; we return `lo` rather than panicking /// (no panics on valid input — spec §8). Uniformity is achieved with /// Lemire-style rejection sampling over the `u64` span, so the result is /// unbiased across the whole range. pub fn range(&mut self, lo: i32, hi: i32) -> i32 { if hi <= lo { return lo; } // Width fits in u64: (hi - lo) where hi > lo and both are i32. let span = (hi as i64 - lo as i64) as u64; lo + self.below(span) as i32 } /// Uniform integer in `[0, span)` for `span > 0`, via rejection sampling to /// avoid modulo bias. `span` is assumed non-zero by callers. fn below(&mut self, span: u64) -> u64 { // Largest multiple of `span` that fits in u64; anything at or above the // threshold would skew the distribution, so we reject and redraw. let threshold = u64::MAX - (u64::MAX % span); loop { let x = self.next_u64(); if x < threshold { return x % span; } } } /// Return `true` with probability `p`. /// /// `p` is clamped to `[0.0, 1.0]`, so out-of-range probabilities are /// saturated rather than panicking. `p <= 0.0` is always `false`, /// `p >= 1.0` is always `true`. pub fn chance(&mut self, p: f64) -> bool { if p <= 0.0 { return false; } if p >= 1.0 { return true; } // Map the next u64 into a uniform f64 in [0, 1) and compare. // 53 bits gives the full mantissa precision of an f64. let bits = self.next_u64() >> 11; // top 53 bits let unit = bits as f64 / (1u64 << 53) as f64; unit < p } /// Return a reference to a uniformly chosen element of `items`, or `None` /// if the slice is empty. pub fn choose<'a, T>(&mut self, items: &'a [T]) -> Option<&'a T> { if items.is_empty() { return None; } let idx = self.below(items.len() as u64) as usize; items.get(idx) } /// Shuffle `items` in place into a uniformly random permutation. /// /// Uses an in-place Fisher–Yates shuffle built on our own [`range`] so the /// permutation is fully determined by the stream and identical on every /// machine. A slice of length 0 or 1 is left unchanged. pub fn shuffle(&mut self, items: &mut [T]) { let len = items.len(); if len < 2 { return; } // Walk from the end; swap each element with a random earlier-or-equal // index. Iterate down to 1 because index 0 has nothing left to swap. for i in (1..len).rev() { let j = self.below((i + 1) as u64) as usize; items.swap(i, j); } } } /// Mix a 64-bit basis seed with a label into a fresh 64-bit seed for [`Rng::fork`]. /// /// This is the load-bearing determinism primitive (spec §7), so the algorithm /// is spelled out explicitly and uses only fixed integer arithmetic — no /// `DefaultHasher`, no version-unstable hashing. /// /// Recipe: /// 1. Start from a splitmix64 scramble of the basis seed (so the basis is well /// diffused before any label bytes are folded in). /// 2. Fold each label byte in with the FNV-1a step (`xor` then multiply by the /// 64-bit FNV prime), which makes the result order-sensitive across bytes — /// so `"name#0"` and `"name#1"` diverge. /// 3. Run one final splitmix64 finalizer to avalanche the combined value. fn mix_seed(basis: u64, label: &str) -> u64 { // The 64-bit FNV-1a offset basis and prime (fixed, well-known constants). const FNV_PRIME: u64 = 0x0000_0100_0000_01B3; let mut state = splitmix64(basis); for &byte in label.as_bytes() { state ^= byte as u64; state = state.wrapping_mul(FNV_PRIME); } splitmix64(state) } /// One round of the splitmix64 finalizer: a fixed, portable integer avalanche. fn splitmix64(seed: u64) -> u64 { // Constants from the reference splitmix64 (Steele, Lea & Flood 2014). let mut z = seed.wrapping_add(0x9E37_79B9_7F4A_7C15); z = (z ^ (z >> 30)).wrapping_mul(0xBF58_476D_1CE4_E5B9); z = (z ^ (z >> 27)).wrapping_mul(0x94D0_49BB_1331_11EB); z ^ (z >> 31) } #[cfg(test)] mod tests { use super::*; /// Same seed → identical sequence of `range` draws. #[test] fn same_seed_reproduces_sequence() { let mut a = Rng::from_seed(0xABCD_1234); let mut b = Rng::from_seed(0xABCD_1234); let seq_a: Vec = (0..64).map(|_| a.range(0, 1000)).collect(); let seq_b: Vec = (0..64).map(|_| b.range(0, 1000)).collect(); assert_eq!(seq_a, seq_b); } /// Different seeds should (overwhelmingly) produce different sequences. #[test] fn distinct_seeds_diverge() { let mut a = Rng::from_seed(1); let mut b = Rng::from_seed(2); let seq_a: Vec = (0..64).map(|_| a.range(0, 1_000_000)).collect(); let seq_b: Vec = (0..64).map(|_| b.range(0, 1_000_000)).collect(); assert_ne!(seq_a, seq_b); } /// `fork` is order-independent: the child stream does not depend on how many /// values were drawn from the parent beforehand, and forking does not mutate /// the parent. #[test] fn fork_is_order_independent() { let parent = Rng::from_seed(99); // Fork immediately. let mut early = parent.fork("a"); // Now draw a bunch from a *clone* of the parent, then fork. let mut drained = parent.clone(); for _ in 0..50 { let _ = drained.range(0, 100); } let mut late = drained.fork("a"); let early_seq: Vec = (0..32).map(|_| early.range(0, 10_000)).collect(); let late_seq: Vec = (0..32).map(|_| late.range(0, 10_000)).collect(); assert_eq!(early_seq, late_seq, "fork must depend only on basis seed + label"); } /// `fork(&self)` does not advance the parent's own stream. #[test] fn fork_does_not_mutate_parent() { let mut parent = Rng::from_seed(7); let before: Vec = { let mut probe = parent.clone(); (0..16).map(|_| probe.range(0, 1000)).collect() }; // Forking should leave `parent`'s stream untouched. let _child = parent.fork("whatever"); let after: Vec = (0..16).map(|_| parent.range(0, 1000)).collect(); assert_eq!(before, after); } /// Distinct labels produce distinct streams. #[test] fn distinct_labels_diverge() { let parent = Rng::from_seed(42); let mut a = parent.fork("a"); let mut b = parent.fork("b"); let seq_a: Vec = (0..32).map(|_| a.range(0, 1_000_000)).collect(); let seq_b: Vec = (0..32).map(|_| b.range(0, 1_000_000)).collect(); assert_ne!(seq_a, seq_b); } /// The pipeline's occurrence-keying scheme works: `"name#0"` and `"name#1"` /// must yield distinct streams. #[test] fn occurrence_keys_diverge() { let parent = Rng::from_seed(2024); let mut zero = parent.fork("name#0"); let mut one = parent.fork("name#1"); let seq_zero: Vec = (0..32).map(|_| zero.range(0, 1_000_000)).collect(); let seq_one: Vec = (0..32).map(|_| one.range(0, 1_000_000)).collect(); assert_ne!(seq_zero, seq_one); } /// `choose` on an empty slice returns `None`; on a non-empty slice it /// returns an in-bounds element. #[test] fn choose_empty_and_nonempty() { let mut rng = Rng::from_seed(5); let empty: [i32; 0] = []; assert_eq!(rng.choose(&empty), None); let items = [10, 20, 30, 40]; for _ in 0..64 { let picked = rng.choose(&items).copied(); assert!(picked.map(|v| items.contains(&v)).unwrap_or(false)); } } /// `shuffle` is a permutation: it preserves the multiset of elements. #[test] fn shuffle_is_a_permutation() { let mut rng = Rng::from_seed(123); let mut items: Vec = (0..50).collect(); let original = items.clone(); rng.shuffle(&mut items); // Same multiset. let mut sorted = items.clone(); sorted.sort_unstable(); assert_eq!(sorted, original); // And the same shuffle reproduces under the same seed. let mut rng2 = Rng::from_seed(123); let mut items2: Vec = (0..50).collect(); rng2.shuffle(&mut items2); assert_eq!(items, items2); } /// Tiny / empty slices are left untouched by `shuffle`. #[test] fn shuffle_trivial_slices() { let mut rng = Rng::from_seed(1); let mut empty: Vec = vec![]; rng.shuffle(&mut empty); assert!(empty.is_empty()); let mut single = vec![42]; rng.shuffle(&mut single); assert_eq!(single, vec![42]); } /// `range` honors the half-open convention and the degenerate `hi <= lo` /// contract (returns `lo`, never panics). #[test] fn range_bounds_are_half_open() { let mut rng = Rng::from_seed(77); for _ in 0..256 { let v = rng.range(3, 7); assert!((3..7).contains(&v), "expected [3,7), got {v}"); } // Degenerate ranges return `lo`. assert_eq!(rng.range(5, 5), 5); assert_eq!(rng.range(5, 2), 5); // Negative bounds work too. for _ in 0..256 { let v = rng.range(-5, -1); assert!((-5..-1).contains(&v), "expected [-5,-1), got {v}"); } } /// `chance` saturates outside `[0, 1]` and is reproducible. #[test] fn chance_saturates_and_reproduces() { let mut rng = Rng::from_seed(9); assert!(!rng.chance(0.0)); assert!(!rng.chance(-1.0)); assert!(rng.chance(1.0)); assert!(rng.chance(2.0)); // p = 0.5 over many draws should land somewhere in the middle. let mut a = Rng::from_seed(2); let hits = (0..10_000).filter(|_| a.chance(0.5)).count(); assert!((4000..6000).contains(&hits), "0.5 chance produced {hits}/10000"); } }