Game and OwnedGame gain a convergence: ConvergenceOptions field set at
construction. Game::{ranked,scored} forward options.convergence into
OwnedGame::{new,new_scored} (previously dropped on the floor).
{ranked,scored}_with_arena take it as a parameter. run_chain reads
self.convergence.{epsilon, max_iter, alpha} instead of hardcoded
1e-6 / 10 / undamped. DiffFactor::propagate gains an alpha parameter
and dispatches into Trunc/MarginFactor::propagate_with_alpha.
In-tree callsites in src/time_slice.rs and src/history.rs pass
ConvergenceOptions::default(). Pre-existing T2 fallout in tests,
benches, and the atp example (struct literals missing the new alpha
field) is fixed by adding alpha: 1.0 so the workspace builds clean.
Default alpha is 1.0, so all 96 lib + 27 integration test goldens
remain bit-equal.
Inherent method that applies α-damping to the outgoing message via
Gaussian::damp_natural. The Factor trait impl delegates with α=1.0,
preserving today's behavior bit-equal. Variable write switched from
`trunc` to `cavity * damped` — algebraically identical when α=1.0
(cavity * new_msg = trunc by construction); reflects partial-update
math when α<1.0.
Adds an EP damping coefficient defaulting to 1.0 (undamped). Will be
read by run_chain in a follow-up commit. By itself this commit changes
no behavior — existing constructors using ..Default::default() pick up
the new field automatically.
Computes α·new + (1−α)·self in natural-parameter space. Will be used
by TruncFactor and MarginFactor to support opt-in EP damping via
ConvergenceOptions::alpha.
Six tasks: Gaussian::damp_natural helper, ConvergenceOptions::alpha
field, TruncFactor and MarginFactor propagate_with_alpha pair, DiffFactor
+ Game integration (the big task — must land atomically), and
end-to-end tests for max_iter and alpha behavior.
Smallest-scope realisation of spec §"Built-in schedules" Damped: a
ConvergenceOptions::alpha field plumbed through run_chain to a new
Gaussian::damp_natural helper applied inside TruncFactor and
MarginFactor's propagate. alpha=1.0 default keeps every existing
golden bit-equal; alpha<1.0 stabilises oscillating fixed-point loops
on hard graphs.
Defers Schedule trait integration, nat-param convergence switch,
oscillation auto-detect, Residual/OneShot, and Synergy/ScoreFactor —
each gets its own future plan.
The plan's prose quoted Z_cav ≈ 0.046827 and log_evidence ≈ -3.0613,
which diverged from the values asserted by the shipped test in
src/factor/mod.rs (-3.062235327364623). Update prose and the matching
code comment to 0.04678 / -3.0622.
Replace the `_ => 0.0` wildcard with explicit
`Self::TeamSum(_) | Self::RankDiff(_) => 0.0`. No behavioral change;
future variants now produce a compile error instead of being silently
absorbed by the wildcard.
Both methods were 95-line near-duplicates differing only in the closure
that builds the per-diff DiffFactor. Extract the shared body as a
private run_chain<F>(&self, arena, make_link) helper that returns
(evidence, likelihoods); the two callers shrink to ~10 lines each.
Pure code-shape change: posteriors and evidence remain bit-equal; all
existing tests (lib + integration) pass unchanged.
Three independent cleanups: dedupe Game::likelihoods and likelihoods_scored
via a run_chain helper taking a make_link closure, make BuiltinFactor's
log_evidence match exhaustive, and fix stale numerics in the T4 plan doc.
Implements T3 of `docs/superpowers/specs/2026-04-23-trueskill-engine-redesign-design.md` Section 6. Plan: `docs/superpowers/plans/2026-04-24-t3-concurrency.md` (11 tasks).
## Summary
### Breaking
- `Send + Sync` bounds added to public traits: `Time`, `Drift<T>`, `Observer<T>`, `Factor`, `Schedule`. All built-in impls satisfy these via auto-derive; downstream custom impls will need the bounds.
### New
- Opt-in `rayon` cargo feature. When enabled:
- Within-slice event iteration runs color-group events in parallel via `par_iter_mut` (`TimeSlice::sweep_color_groups`).
- `History::learning_curves` computes per-slice posteriors in parallel; merges sequentially in slice order.
- `History::log_evidence` / `log_evidence_for` use per-slice parallel computation with deterministic sequential reduction (sum in slice order) — bit-identical to the sequential baseline.
- `ColorGroups` infrastructure (`src/color_group.rs`) with greedy graph coloring. Events sharing no `Index` go into the same color group; events in the same group can run concurrently without touching each other's skills.
- `tests/determinism.rs` asserts bit-identical posteriors across `RAYON_NUM_THREADS={1, 2, 4, 8}`.
- `benches/history_converge.rs` measures end-to-end convergence on three workload shapes.
## Performance
### Sequential (no rayon, default build)
| Metric | Before T3 | After T3 | Delta |
|---|---|---|---|
| `Batch::iteration` | 22.88 µs | 23.23 µs | **+1.5%** (noise) |
| `Gaussian::*` | ≈218–264 ps | ≈236 ps | within noise |
**No sequential regression.** Default build is as fast as T2.
### Parallel (`--features rayon`, Apple M5 Pro, auto thread count)
| Workload | Sequential | Parallel | Speedup |
|---|---:|---:|---:|
| 500 events / 100 competitors / 10 per slice | 4.03 ms | 4.24 ms | **1.0×** |
| 2000 events / 200 competitors / 20 per slice | 20.18 ms | 19.82 ms | **1.0×** |
| 5000 events / 50000 competitors / 1 slice | 11.88 ms | 9.10 ms | **1.3×** |
### ⚠️ The spec's >=2× target was not met on realistic workloads.
T3's within-slice color-group parallelism only shows material benefit when a slice holds many events AND the competitor pool is large enough to give the greedy coloring room to partition. Typical TrueSkill workloads (tens of events per slice) don't fit that profile — rayon's task-spawn overhead dominates.
**Cross-slice parallelism (dirty-bit slice skipping per spec Section 5) is the natural next step** for real-workload speedup and would deliver the spec's ~50–500× online-add speedup. Deferred to a future tier.
## Determinism
`tests/determinism.rs` runs a 200-event history at thread counts {1, 2, 4, 8} via `rayon::ThreadPoolBuilder::install` and asserts every `(time, posterior)` pair has bit-identical `mu` and `sigma` (compared via `f64::to_bits()`). Passes.
## Internals
- Parallel path uses an `unsafe` block to concurrently write to `SkillStore` from color-group-disjoint events. Soundness rests on the color-group invariant (events in the same color touch no shared `Index`), guaranteed by construction in `TimeSlice::recompute_color_groups`. Sequential path unchanged from T2.
- `RAYON_THRESHOLD = 64` — color groups smaller than this fall back to sequential inside `sweep_color_groups` to avoid task-spawn overhead.
- Thread-local `ScratchArena` per rayon worker thread.
## Test plan
- [x] `cargo test --features approx` — 96 tests pass (74 lib + 22 integration)
- [x] `cargo test --features approx,rayon` — 97 tests pass (+1 determinism)
- [x] `cargo clippy --all-targets --features approx -- -D warnings` — clean
- [x] `cargo clippy --all-targets --features approx,rayon -- -D warnings` — clean
- [x] `cargo +nightly fmt --check` — clean
- [x] `cargo bench --bench batch --features approx` — 23.23 µs (no regression vs T2)
- [x] `cargo bench --bench history_converge --features approx,rayon` — runs on all three workloads
- [x] Bit-identical posteriors across `RAYON_NUM_THREADS={1, 2, 4, 8}` — verified
## Commit history
13 commits on `t3-concurrency`. Each task is self-contained and bisectable. See `git log main..t3-concurrency` for the full list.
## Deferred
- **Cross-slice parallelism** (dirty-bit slice skipping) — the path that would actually speed up typical TrueSkill workloads.
- **Default-on `rayon` feature** — spec called for default-on; we keep it opt-in until the feature proves stable in production use.
- **Synchronous-EP schedule with barrier merge** — alternative parallel strategy per spec Section 6.
- **`MarginFactor` / `Outcome::Scored`** — T4.
- **`Damped` / `Residual` schedules** — T4.
- **N-team `predict_outcome`** — T4.
- **`Game::custom` full ergonomics** — T4.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
Reviewed-on: #2
Co-authored-by: Anders Olsson <anders.e.olsson@gmail.com>
Co-committed-by: Anders Olsson <anders.e.olsson@gmail.com>