# Adversarial Challenge Report: CharacterStatAggregator Mathematical & Integration Audit

## Challenge Summary

**Overall risk assessment**: LOW

All mathematical calculations, tag-based filtering mechanisms, conditional thresholds, AST tree hierarchy constructions, SQLite persistence operations, and ServerEngineLoop player registrations have been empirically validated through custom adversarial stress test oracles. Zero regressions were detected across the entire affected subsystem and dependent modules.

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## Challenges & Empirical Stress Tests

### 1. Mathematical Scaling & Interaction Oracle
- **Assumption Challenged**: Does the aggregator correctly evaluate the canonical Path of Exile formula $(\text{Base} + \sum \text{Flat}) \times (1.0 + \frac{\sum \text{Inc} - \sum \text{Red}}{100.0}) \times \prod(1.0 + \text{More}) \times \prod(1.0 - \text{Less})$ without floating-point distortion, ordering bugs, or negative multiplier leaks?
- **Attack Scenario**:
  - Test complex mixture: Base 50, Flat +50, Inc +100%, Red -20%, More +50%, Less -25%.
  - Test negative net increased scaling: Inc +20%, Red -140% (net -120%).
  - Test multiple independent compounded More multipliers: +20%, +30%, +50%.
  - Test multiple independent Less multipliers: -20%, -30%.
  - Test total cancellation: Less 100%.
- **Empirical Result**:
  - Complex mixture resolved to exact $100 \times 1.80 \times 1.50 \times 0.75 = 202.50$ (`test_stress_combinatorial_poe_formula_oracle`).
  - Scale factor clamping `max(0.0, 1.0 + (inc - red)/100)` successfully clamped negative scale factor to $0.0$, preventing negative damage.
  - Three independent More multipliers produced exact $50 \times 1.20 \times 1.30 \times 1.50 = 117.0$ (multiplicative compounding, distinct from additive percentage).
  - Two Less multipliers produced exact $50 \times 0.80 \times 0.70 = 28.0$.
  - 100% Less multiplier correctly reduced final stat to $0.0$.
- **Status**: PASSED.

### 2. Tag-Based Filtering Matrix
- **Assumption Challenged**: Does tag filtering properly respect case-insensitivity, modifier tag subsets, supersets, empty tags (universal modifiers), and non-matching tags?
- **Attack Scenario**:
  - Mod 1: `FIRE` (uppercase) + `SPELL` (30 flat)
  - Mod 2: `fire` (lowercase) (20 flat)
  - Mod 3: Universal (no tags) (10 flat)
  - Mod 4: `cold` (50% inc)
  - Evaluate across context queries: `{"fire"}`, `{"fire", "spell", "area"}` (superset), `{"cold"}`, and `{}` (empty).
- **Empirical Result**:
  - Context `{"fire"}` activated Mod 2 and Mod 3, skipping Mod 1 and Mod 4 $\rightarrow 50 + 20 + 10 = 80.0$.
  - Context `{"fire", "spell", "area"}` satisfied Mod 1, Mod 2, and Mod 3 $\rightarrow 50 + 30 + 20 + 10 = 110.0$.
  - Context `{"cold"}` activated Mod 3 and Mod 4 $\rightarrow (50 + 10) \times 1.50 = 90.0$.
  - Empty context activated only universal Mod 3 $\rightarrow 50 + 10 = 60.0$.
- **Status**: PASSED.

### 3. Conditional Modifiers & Vital Ratio Thresholds
- **Assumption Challenged**: Does `EvaluationContext.is_condition_met` trigger at exact floating-point thresholds (e.g. low health $\le 35\%$, full health $\ge 100\%$) and support custom named conditions?
- **Attack Scenario**:
  - Low health trigger at $HP_{\text{ratio}} = 0.3500$, $0.3501$, $0.3499$.
  - Full health trigger at $HP_{\text{ratio}} = 1.0000$, $0.9990$.
  - Custom named condition `"wielding_sword"` evaluated against `{"WIELDING_SWORD"}`.
- **Empirical Result**:
  - $HP_{\text{ratio}} = 0.3500$ triggered `on_low_health` (+40% More damage $\rightarrow 70.0$).
  - $HP_{\text{ratio}} = 0.3501$ did NOT trigger (+0% More damage $\rightarrow 50.0$).
  - $HP_{\text{ratio}} = 1.0000$ triggered `on_full_health` (+20% HP $\rightarrow 1260.0$).
  - $HP_{\text{ratio}} = 0.9990$ did NOT trigger (+0% HP $\rightarrow 1050.0$).
  - Custom condition `"wielding_sword"` matched case-insensitively.
- **Status**: PASSED.

### 4. Weapon Grip Mechanics
- **Assumption Challenged**: Does weapon grip detection correctly distinguish 2H weapons (+50% More damage) and Dual-Wielding (+10% More APS, +15% block), while ignoring 1H + Shield combinations?
- **Attack Scenario**:
  - Equip 2H weapon $\rightarrow$ assert +50% More damage.
  - Equip two 1H weapons (Main + Off) $\rightarrow$ assert +10% More APS and +15% block.
  - Equip 1H weapon + Shield $\rightarrow$ assert Dual Wield does NOT activate.
- **Empirical Result**:
  - 2H weapon increased attack from 50.0 to 75.0 (+50% More).
  - Dual Wield weapons scaled APS to 1.18 and set block_chance to 15.0%.
  - 1H sword + Shield did not register as Dual Wield (block_chance was not set).
- **Status**: PASSED.

### 5. AST Representation and SQLite Persistence
- **Assumption Challenged**: Are the calculations fully broken down into serializable AST nodes (`ConstantNode`, `SumNode`, `ScaleFactorNode`, `ProductNode`), and are records saved with indexed `player_id` and `timestamp`?
- **Attack Scenario**:
  - Execute multi-stage calculation with custom player ID.
  - Inspect SQLite database file directly with `sqlite3` CLI / Python.
  - Verify JSON deserialization of AST nodes and final stats.
- **Empirical Result**:
  - SQLite database table `character_stat_calculations` was verified in `data/character_stat_formulas.db` and `:memory:`.
  - Deserialized AST structure accurately preserves `base`, `flat`, `scale`, and `more` nodes with contributor metadata.
- **Status**: PASSED.

### 6. Server Engine Loop Live Registration
- **Assumption Challenged**: Does `ServerEngineLoop.register_player` faithfully map aggregated stats to `CombatActor` attributes and synchronize movement speed to `MovementAuthority`?
- **Attack Scenario**:
  - Register player with custom aggregated stats object.
  - Register player via automatic aggregation querying upstream services.
  - Register player with no stats (backward compatibility).
- **Empirical Result**:
  - `CombatActor.base_attack`, `max_hp`, `crit_chance`, `crit_multiplier`, and `resistances` (FiveElements enum mapping) match calculated values.
  - `MovementAuthority.players[entity_id].move_speed` reflects calculated speed.
  - Default call without stats retains legacy $50.0 / 1000.0 / 6.0$ values.
- **Status**: PASSED.

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## Stress Test Results

| Test Scenario | Expected Behavior | Actual Behavior | Result |
| :--- | :--- | :--- | :--- |
| Combinatorial PoE Formula (Flat, Inc, Red, More, Less) | Result = 202.50 | 202.50 | PASS |
| Negative Net Inc Clamp | Scale factor clamped to 0.0 | 0.0 | PASS |
| Multi-More Compound (3 sources) | Compounded multiplier = 2.34 (117.0) | 117.0 | PASS |
| Multi-Less Compound (2 sources) | Compounded multiplier = 0.56 (28.0) | 28.0 | PASS |
| 100% Less Factor | Damage drops to 0.0 | 0.0 | PASS |
| Tag Subsets & Supersets | Proper filtering per context | Exactly matched | PASS |
| Low Health Threshold ($HP_{\text{ratio}} = 0.35$) | Triggers active modifier | Triggered active | PASS |
| Low Health Threshold ($HP_{\text{ratio}} = 0.3501$) | Rejects modifier | Rejected modifier | PASS |
| 2H Grip Detection | +50% More damage | 75.0 (from 50.0) | PASS |
| Dual Wield Grip Detection | +10% More APS, +15% block | 1.18 APS, 15% block | PASS |
| 1H Weapon + Shield | Dual Wield inactive | Dual Wield inactive | PASS |
| AST SQLite Persistence | Valid JSON AST and retrieval | Deserialized clean | PASS |
| Engine Loop Actor Registration | CombatActor has calculated stats | Fully populated | PASS |
| Engine Loop Backward Compat | Legacy default 50.0/1000.0/6.0 | Preserved | PASS |

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## Unchallenged Areas

- **Client UI Tooltip Rendering**: Client-side character sheet display is handled in separate client modules and out of scope for the server aggregator.