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MATH_ENGINE_WALKTHROUGH.md2.5 kB
# Math Engine Development & Persistence ## Summary Successfully implemented a comprehensive Math Engine for the RPG MCP Server with full persistence capabilities. The implementation includes deterministic dice rolling, probability calculations, symbolic algebra, calculus, physics simulations, and multiple export formats. ## Core Components ### Math Engines 1. **DiceEngine** - Deterministic dice roller with seeded RNG, advantage/disadvantage, and exploding dice 2. **ProbabilityEngine** - Statistical calculations with distributions and expected values 3. **AlgebraEngine** - Symbolic mathematics (solving, simplifying, differentiation, integration) 4. **PhysicsEngine** - Projectile motion and kinematics (SUVAT equations) 5. **ExportEngine** - Multi-format output (LaTeX, MathML, plaintext, steps) ### Persistence Layer - Added `calculations` table to database schema - Created `CalculationRepository` for CRUD operations - Session-scoped calculation history ### MCP Tools Registered 5 new tools with full persistence: - `dice_roll` - Roll dice with standard notation - `probability_calculate` - Calculate probabilities - `algebra_solve` - Solve equations - `algebra_simplify` - Simplify expressions - `physics_projectile` - Calculate projectile trajectories ## Testing ✓ All 5 integration tests passing - Dice rolling with seed verification - Probability calculations with metadata - Algebra operations - Physics calculations ## Files Created - `src/math/` - 5 engine modules + schemas - `src/storage/repos/calculation.repo.ts` - `src/server/math-tools.ts` - `tests/math/` - 5 engine test suites - `tests/server/math-tools.test.ts` --- # Quest System Implementation ## Summary Implemented Quest System (Task 3.3) with full lifecycle support. ## Changes ### Schema - `QuestSchema` - Quest structure (objectives, rewards, prerequisites) - `QuestLogSchema` - Character progress tracking ### Database - `quests` table - `quest_logs` table ### Repository Created `QuestRepository` with quest CRUD and log management. ### Tools - `create_quest` - Define quests - `assign_quest` - Assign to characters (checks prerequisites) - `update_objective` - Update progress - `complete_quest` - Complete and grant rewards - `get_quest_log` - View character quests ## Testing ✓ Full lifecycle test passing - create, assign, update, complete quest with rewards ## Limitations - Objective tracking per-character needs refactoring for multi-player - Currency rewards not yet supported

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