# Scoring rules

All implemented in `src/lib/scoring/` as pure functions. Tests must cover every rule below.

## 1. Cell value (team × criterion)
- **Direct game:** the admin score row. Missing → not scored. Judge rows (e.g. left over from a mode switch) are ignored.
- **Judged game:**
  - If an admin override row exists → use it.
  - Else average of non-revoked judges' values for that cell. Missing judges are ignored (not zero).
  - No judge values → not scored.

## 2. Team raw score for a game
`raw = Σ (cellValue × criterion.weight)` over scored criteria.
A team with zero scored cells is **unscored** for that game (not 0).
`raw` is rounded to 6dp before ranking so float noise from averaging can't break a real tie.

## 3. Game points
- **raw mode:** `points = round2(raw × multiplier)`.
- **placement mode:** rank scored teams by raw desc. Award `placement_points[rank-1] ?? 0`.
  - Ties: tied teams share the **average** of the places they span, rounded to 2dp.
    e.g. two teams tied for 1st with [10,7,5] → each gets 8.5; next team gets 5.
  - Then × multiplier.
  - Unscored teams get 0 and are not ranked.
- Only games with status `live` or `done` count toward totals. `upcoming` games contribute nothing
  (prevents half-set-up games leaking).

## 4. Event total
`total = Σ game points + Σ adjustments.points`

## 5. Standings
Sort by total desc. Ties share rank (standard competition: 1,1,3). Tie display order: team `sort_order`.

## Test cases to include (minimum)
1. Karaoke: 5 criteria × 1–5, 3 judges, one judge missing a team → average uses 2 judges.
2. Override beats judge average.
3. Revoked judge excluded.
4. Weights applied.
5. Placement with a 2-way tie at 1st and 3 teams.
6. Placement with more teams than placement_points → extra teams get 0.
7. Multiplier on both modes.
8. Upcoming game ignored.
9. Adjustments (+ and −) added; adjustment tied to an upcoming game still counts (it's explicit).
10. Standings tie → shared rank.