docs: document the whole public surface and deny(missing_docs)

80 undocumented public items, including three that are first contact:
`History::current_skill` — the method the crate's own first example calls
— `EventBuilder`, the type `h.event(t)` hands you, and `Gaussian::mu()`.
Now zero, and `#![deny(missing_docs)]` keeps it that way.

Several docs are measurements rather than readings of the code:

- `Outcome::Ranked` says ranks are used ordinally, so `[0, 1, 2]` and
  `[0, 5, 90]` are the same observation. Measured: bit-identical
  posteriors for both.
- `OwnedGame::log_evidence` says two identically-rated competitors give
  exactly `ln(0.5)`. Written as a doctest, so it runs.
- `Member::weight` says zero and negative are accepted. Measured.
- `ConvergenceReport::final_step` is `(|Δmu|, |Δsigma|)` in skill units,
  NOT natural parameters. That one had to be traced through
  `Gaussian::delta` rather than assumed from the neighbouring vocabulary.
- `GameOptions::score_sigma` rejects non-positive and NaN but accepts
  `+inf`, which is what the guard actually says.

README: it is the front door for a crate on a private registry, and it
opened with a link dump followed by 130 lines on drift. The first
`record_winner → converge → current_skill` block was at line 226 of 307.
It now leads with what the crate is, an install line, a quickstart, a
"which entry point?" table, and the `converge`-is-strict rationale that
was the crate's most opinionated recent decision and went unmentioned.
The two canonical examples disagreed on spelling (`History::default()`
vs `History::builder().build()`, `current_skill("a")` vs
`current_skill(&"a")`); they now agree. Five new README blocks are
doctested, taking the suite from 19 to 25.

`pub use smallvec;`. Four public items name `SmallVec` in their
signatures, and the only `Joint` example failed to compile from a
consumer crate with `unresolved import smallvec` — the dependency was in
the API but not reachable. Both worked examples now use the re-export,
so they teach the path that works downstream.

Vocabulary, from #75: "agent" was a fourth word for competitor, 200
occurrences, and it had reached public signatures before #73 un-exported
`TimeSlice`. Now zero.

Closes #77. Refs #75.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_011hcFjNDmHXZF8URGLku5zZ

src/lib.rs

@@ -85,6 +85,10 @@
 //!   regardless of worker count.
 
 #![forbid(unsafe_code)]
+// Turned on once the surface was fully documented (80 items at the time), so
+// the next undocumented public item is a build failure rather than a warning
+// nobody reads.
+#![deny(missing_docs)]
 
 /// Compiles every `rust` block in `README.md` as a doctest.
 ///
@@ -111,12 +115,25 @@ pub(crate) mod arena;
 mod color_group;
 mod competitor;
 mod convergence;
+/// Skill drift: how much a competitor's skill is allowed to move between
+/// appearances.
+///
+/// Public because [`Drift`] is a trait a caller may implement — a per-sport
+/// off-season, say, or a schedule where drift is a function of the calendar
+/// rather than of elapsed ticks. [`ConstantDrift`] is what
+/// [`HistoryBuilder`] uses by default.
 pub mod drift;
 mod error;
 mod event;
 mod event_builder;
 pub(crate) mod factor;
 mod game;
+/// The Gaussian message type and its expectation-propagation algebra.
+///
+/// Public because [`Gaussian`] appears throughout the results: a posterior
+/// skill, a learning-curve point, a predicted margin. The module carries the
+/// operator documentation — `Mul`/`Div` are the EP product and cavity, not
+/// arithmetic on random variables.
 pub mod gaussian;
 mod history;
 mod joint;
@@ -145,13 +162,58 @@ pub use observer::{NullObserver, Observer};
 pub use outcome::Outcome;
 pub use predict::Prediction;
 pub use rating::Rating;
+/// The `smallvec` crate, re-exported.
+///
+/// Four public items name `SmallVec` in their signatures: [`Event::teams`],
+/// [`Team::members`], [`Outcome::Ranked`]'s payload and
+/// [`ConvergenceReport::per_iteration_time`]. You can *build* an `Event`
+/// without ever naming the type — `vec![..].into()` and `.collect()` both work
+/// — and iterate the timings through `Deref`. But writing a helper that
+/// *returns* a teams list, or a `match` arm that binds ranks and passes them
+/// on, requires the type by name.
+///
+/// Measured: the only `Joint` doc example failed to compile from a consumer
+/// crate with `unresolved import \`smallvec\``, because the dependency was in
+/// the signature but not reachable. Re-exported so a consumer takes this
+/// crate's version rather than pinning a matching one of their own.
+pub use smallvec;
 pub use time::{Time, Untimed};
 
+/// Default performance noise: how much a single showing varies around skill.
+///
+/// Every other default is expressed as a multiple of this, so `BETA` sets the
+/// scale of the whole rating system. Doubling it and doubling `SIGMA` and
+/// `GAMMA` with it gives the same fit on a rescaled axis.
 pub const BETA: f64 = 1.0;
+/// Default prior mean skill.
+///
+/// Zero rather than a conventional 25: the scale is set by `BETA`, and a
+/// centred axis makes a negative rating mean "below the prior" instead of
+/// looking like an error.
 pub const MU: f64 = 0.0;
+/// Default prior standard deviation: how unsure the model starts out.
+///
+/// Six betas is deliberately wide — a new competitor's first result should
+/// move them a long way, and the prior should not fight the evidence.
 pub const SIGMA: f64 = BETA * 6.0;
+/// Default drift: the standard deviation of skill movement per unit of time.
+///
+/// Enters inference as a *variance* (`gamma^2` per elapsed tick), which is why
+/// [`ConstantDrift`] squares it and why a negative gamma would be
+/// indistinguishable from its absolute value — see [`ConstantDrift::new`].
 pub const GAMMA: f64 = BETA * 0.03;
+/// Default draw probability: zero, meaning ties are not modelled.
+///
+/// A history that ingests a tie needs a positive value. With `p_draw == 0.0`
+/// the truncation margin is zero and the two-sided tie update evaluates
+/// `0/0`, so ingestion rejects such events with
+/// [`InferenceError::TieWithoutDrawProbability`].
 pub const P_DRAW: f64 = 0.0;
+/// Default convergence threshold, in the same units as
+/// [`ConvergenceReport::final_step`](crate::ConvergenceReport).
+///
+/// The sweep stops once the largest change a full iteration makes to any
+/// message falls below this.
 pub const EPSILON: f64 = 1e-6;
 /// Default cap on convergence sweeps.
 ///
@@ -226,6 +288,15 @@ const ASYMPTOTIC_MILLS_ALPHA: f64 = 100.0;
 pub(crate) const N00: Gaussian = Gaussian::from_ms(0.0, 0.0);
 pub(crate) const N_INF: Gaussian = Gaussian::from_ms(0.0, f64::INFINITY);
 
+/// An interned competitor handle: a dense slot number, not a user key.
+///
+/// [`History`] stores skills and messages by `Index` rather than by `K`, so
+/// the hot path never hashes a key. [`History::intern`] promotes a key to one
+/// and [`History::lookup`] resolves an existing key without creating.
+///
+/// Indices are assigned in interning order and are stable for the life of a
+/// history. They are **not** portable between histories: the same key interns
+/// to different slots depending on ingestion order.
 #[derive(Copy, Clone, Default, PartialEq, PartialOrd, Eq, Ord, Hash, Debug)]
 pub struct Index(usize);