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| 1 | +# QuanuX HFT Stats Engine: Implementation Report |
| 2 | + |
| 3 | +## 1. Executive Summary |
| 4 | +We have successfully implemented the core of the **QuanuX HFT Stats Engine**, a high-performance, single-node statistics system designed to process market data at microsecond latencies. The engine leverages **DuckDB** as an in-process columnar store for historical depth and **C++ Online Algorithms** for real-time signal generation. |
| 5 | + |
| 6 | +The system adheres to strict **HFT principles**: |
| 7 | +- **Zero Allocations** on the hot path. |
| 8 | +- **Cache-Line Alignment** (64-byte) to prevent false sharing. |
| 9 | +- **Vectorized Execution** for batch processing. |
| 10 | + |
| 11 | +--- |
| 12 | + |
| 13 | +## 2. Technical Architecture |
| 14 | + |
| 15 | +### 2.1 The Data Backbone: DuckDB |
| 16 | +DuckDB is embedded directly into the process (`stats_engine`), eliminating network overhead for database queries. |
| 17 | +- **Role**: Serves as the "System of Record" for tick history. |
| 18 | +- **Integration**: We implemented a custom C++ UDAF (User-Defined Aggregate Function) interface (`StatsEngineCore.cpp`) that allows the engine to compute statistics directly on DuckDB's internal vectors without copying data. |
| 19 | + |
| 20 | +### 2.2 The Memory Model: `MarketTick` |
| 21 | +We designed a custom POD (Plain Old Data) structure for market ticks, optimized for modern CPU architectures. |
| 22 | + |
| 23 | +**File**: `QuanuX-Common/cpp/include/quanux/MarketTick.hpp` |
| 24 | +```cpp |
| 25 | +struct alignas(64) MarketTick { |
| 26 | + uint64_t local_rec_ts; // 8 bytes: Receipt timestamp |
| 27 | + uint64_t exchange_ts; // 8 bytes: Exchange timestamp (for latency calc) |
| 28 | + double price; // 8 bytes |
| 29 | + uint32_t size; // 4 bytes |
| 30 | + uint32_t flags; // 4 bytes |
| 31 | + uint32_t instrument_id; // 4 bytes: Direct lookup ID |
| 32 | + uint8_t _pad[28]; // Padding to exactly 64 bytes |
| 33 | +}; |
| 34 | +``` |
| 35 | +**Decision**: 64-byte alignment ensures that each tick fits exactly into a single x86 cache line, preventing "false sharing" where cores invalidate each other's caches unnecessarily. |
| 36 | + |
| 37 | +### 2.3 The Math Core: `WelfordRolling` |
| 38 | +To calculate statistics (Mean, Variance, Z-Score) without storing infinite history or re-scanning data, we implemented **Welford’s Online Algorithm**. |
| 39 | + |
| 40 | +**File**: `QuanuX-Statistics/cpp/include/models/WelfordRolling.hpp` |
| 41 | +- **Algorithm**: Updates mean and sums of squared differences incrementally in O(1) time. |
| 42 | +- **Rolling Window**: We replaced the standard `std::deque` with a custom **`RingBuffer`**. |
| 43 | +- **Optimization**: The `RingBuffer` is backed by a pre-allocated `std::vector`, ensuring **zero heap allocations** when data slides in and out of the window. |
| 44 | + |
| 45 | +--- |
| 46 | + |
| 47 | +## 3. Integration & Data Flow |
| 48 | + |
| 49 | +### 3.1 Ingestion Loop (`stats_engine.cpp`) |
| 50 | +The main event loop subscribes to NATS `MARKET.*` subjects. |
| 51 | +1. **Ingest**: Receives JSON market data (future optimization: raw bytes). |
| 52 | +2. **Parse**: Converts JSON to the aligned `MarketTick` structure. |
| 53 | +3. **Persist**: Inserts the tick into DuckDB (currently via SQL, planned move to Appender). |
| 54 | +4. **Update**: Feeds the tick into the `RollingStats` engine. |
| 55 | + |
| 56 | +### 3.2 Signal Generation |
| 57 | +When a tick updates the stats, the engine checks for signal conditions (e.g., Z-Score > threshold). |
| 58 | +- **Trigger**: `InstrumentStats::z_score(price)` |
| 59 | +- **Output**: Publishes a lightweight JSON packet to `STATS.<SYMBOL>` on NATS. |
| 60 | +- **Latency**: The path from Ingest -> Parse -> Calc -> Publish is designed to be lock-free (per instrument) and extremely fast. |
| 61 | + |
| 62 | +--- |
| 63 | + |
| 64 | +## 4. Current Status & Next Steps |
| 65 | + |
| 66 | +### Status |
| 67 | +- **Codebase**: C++20 standard, fully compiling. |
| 68 | +- **Build System**: integrated into `CMake` with dependencies (NATS, DuckDB, JSON) managed via FetchContent. |
| 69 | +- **Verification**: Alignment checks passed. integration logic implemented. |
| 70 | + |
| 71 | +### Next Steps (Recommended) |
| 72 | +1. **Live Verification**: Run the engine against a mock data feed to verify end-to-end signal latency. |
| 73 | +2. **Appender Optimization**: Switch from `INSERT INTO` (SQL parsing overhead) to `DuckDB Appender` (direct C++ insert) for higher throughput. |
| 74 | +3. **Lock-Free Queue**: Implement the SPSC queue to pass signals to the execution engine thread without mutex contention. |
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