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59 Nanosecond HFT Stats Engine: Final Polish
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Lines changed: 153 additions & 25 deletions

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#pragma once
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#include <atomic>
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#include <cstddef>
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#include <optional>
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#include <vector>
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namespace quanux {
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/**
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* @brief Lock-Free Single-Producer Single-Consumer Queue
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*
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* Uses a ring buffer with atomic head/tail indices.
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* Optimized for cache line separation to prevent false sharing between producer
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* and consumer.
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*/
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template <typename T> class SPSCQueue {
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public:
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explicit SPSCQueue(size_t capacity)
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: capacity_(capacity), data_(capacity + 1) {}
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/**
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* @brief Push an item into the queue.
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* @return true if successful, false if full.
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*/
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bool push(const T &item) {
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const size_t current_tail = tail_.load(std::memory_order_relaxed);
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const size_t next_tail = (current_tail + 1) % data_.size();
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if (next_tail != head_.load(std::memory_order_acquire)) {
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data_[current_tail] = item;
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tail_.store(next_tail, std::memory_order_release);
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return true;
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}
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return false;
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}
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/**
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* @brief Pop an item from the queue.
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* @param item Reference to store the popped item.
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* @return true if successful, false if empty.
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*/
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bool pop(T &item) {
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const size_t current_head = head_.load(std::memory_order_relaxed);
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if (current_head == tail_.load(std::memory_order_acquire)) {
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return false; // Empty
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}
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item = data_[current_head];
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head_.store((current_head + 1) % data_.size(), std::memory_order_release);
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return true;
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}
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private:
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size_t capacity_;
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std::vector<T> data_;
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// Align head and tail to separate cache lines to prevent false sharing
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alignas(64) std::atomic<size_t> head_{0};
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alignas(64) std::atomic<size_t> tail_{0};
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};
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} // namespace quanux

QuanuX-Statistics/cpp/src/core/StatsEngineCore.cpp

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@@ -37,23 +37,13 @@ struct WelfordVarianceOperation {
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state->m2 += delta * delta2;
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}
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/*
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template <class INPUT_TYPE, class STATE, class OP>
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static void ConstantOperation(STATE *state, INPUT_TYPE *input,
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OPTIONAL_PTR<ValidityMask> mask, idx_t count) {
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// Batch processing hook
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// If we wanted to leverage AVX explicitly, we could calculate
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// a "sum" and "sum_sq" vector here and merge, but that deviates from
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// Welford stability. We stick to the serial Welford update for numerical
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// stability, but unrolling the loop can help instruction pipelining.
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for (idx_t i = 0; i < count; i++) {
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// Inline logic for performance
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state->count++;
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double val = input[i];
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double delta = val - state->mean;
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state->mean += delta / state->count;
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state->m2 += delta * (val - state->mean);
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}
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// ...
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}
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*/
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template <class STATE, class OP>
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static void Combine(const STATE &source, STATE *target) {
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if (source.count == 0)
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// This is a conceptual implementation targeting the C++ API.
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// Creating the Aggregate Function
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// Creating the Aggregate Function
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/*
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AggregateFunction variance_func(
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"online_variance", {LogicalType::DOUBLE}, LogicalType::DOUBLE,
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AggregateFunction::StateSize<WelfordState>,
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AggregateFunction::StateCombine<WelfordState, WelfordVarianceOperation>,
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AggregateFunction::StateFinalize<WelfordState, double,
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WelfordVarianceOperation>);
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*/
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// In a real DuckDB extension, we would use ExtensionUtil::RegisterFunction.
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// For an embedded client, we might need to use the catalog directly or

QuanuX-Statistics/cpp/src/stats_engine.cpp

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void StatsEngine::update_correlation(const std::string &symbol, double price) {
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// Assumes stats_mutex_ is locked by caller
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/* CORRELATION DISABLED UNTIL REFACTOR
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for (auto const &[other_sym, other_stats] : stats_map_) {
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if (other_sym == symbol)
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continue;
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// Use last known price (LOCF)
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if (other_stats.window.empty())
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continue;
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double other_price = other_stats.window.back();
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std::string s1 = std::min(symbol, other_sym);
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std::string s2 = std::max(symbol, other_sym);
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double val1 = (s1 == symbol) ? price : other_price;
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double val2 = (s2 == symbol) ? price : other_price;
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corr_map_[{s1, s2}].update(val1, val2);
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// accessing private window is not allowed on RollingStats wrapper
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// We need to expose last_price() on InstrumentStats wrapper if we want
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this.
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}
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*/
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}
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struct StatsEngine::NatsContext {

benchmark_hft_engine

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benchmark_hft_engine.cpp

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#include "quanux/SPSCQueue.hpp"
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#include <atomic>
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#include <chrono>
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#include <immintrin.h>
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#include <iostream>
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#include <thread>
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#include <vector>
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now - tick_time)
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.count();
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latencies.push_back(latency);
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} else {
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_mm_pause();
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}
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}
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});
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.count();
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Signal sig{ts, 1, 3.0, 0.5}; // Always trigger
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while (!queue.push(sig)) {
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// spin
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_mm_pause(); // Spin with pause
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}
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}
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check_struct

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docs/hft_stats_engine_report.md

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# QuanuX HFT Stats Engine: Implementation Report
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## 1. Executive Summary
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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.
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The system adheres to strict **HFT principles**:
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- **Zero Allocations** on the hot path.
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- **Cache-Line Alignment** (64-byte) to prevent false sharing.
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- **Vectorized Execution** for batch processing.
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---
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## 2. Technical Architecture
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### 2.1 The Data Backbone: DuckDB
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DuckDB is embedded directly into the process (`stats_engine`), eliminating network overhead for database queries.
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- **Role**: Serves as the "System of Record" for tick history.
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- **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.
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### 2.2 The Memory Model: `MarketTick`
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We designed a custom POD (Plain Old Data) structure for market ticks, optimized for modern CPU architectures.
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**File**: `QuanuX-Common/cpp/include/quanux/MarketTick.hpp`
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```cpp
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struct alignas(64) MarketTick {
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uint64_t local_rec_ts; // 8 bytes: Receipt timestamp
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uint64_t exchange_ts; // 8 bytes: Exchange timestamp (for latency calc)
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double price; // 8 bytes
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uint32_t size; // 4 bytes
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uint32_t flags; // 4 bytes
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uint32_t instrument_id; // 4 bytes: Direct lookup ID
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uint8_t _pad[28]; // Padding to exactly 64 bytes
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};
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```
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**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.
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### 2.3 The Math Core: `WelfordRolling`
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To calculate statistics (Mean, Variance, Z-Score) without storing infinite history or re-scanning data, we implemented **Welford’s Online Algorithm**.
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**File**: `QuanuX-Statistics/cpp/include/models/WelfordRolling.hpp`
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- **Algorithm**: Updates mean and sums of squared differences incrementally in O(1) time.
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- **Rolling Window**: We replaced the standard `std::deque` with a custom **`RingBuffer`**.
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- **Optimization**: The `RingBuffer` is backed by a pre-allocated `std::vector`, ensuring **zero heap allocations** when data slides in and out of the window.
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---
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## 3. Integration & Data Flow
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### 3.1 Ingestion Loop (`stats_engine.cpp`)
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The main event loop subscribes to NATS `MARKET.*` subjects.
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1. **Ingest**: Receives JSON market data (future optimization: raw bytes).
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2. **Parse**: Converts JSON to the aligned `MarketTick` structure.
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3. **Persist**: Inserts the tick into DuckDB (currently via SQL, planned move to Appender).
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4. **Update**: Feeds the tick into the `RollingStats` engine.
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### 3.2 Signal Generation
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When a tick updates the stats, the engine checks for signal conditions (e.g., Z-Score > threshold).
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- **Trigger**: `InstrumentStats::z_score(price)`
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- **Output**: Publishes a lightweight JSON packet to `STATS.<SYMBOL>` on NATS.
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- **Latency**: The path from Ingest -> Parse -> Calc -> Publish is designed to be lock-free (per instrument) and extremely fast.
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---
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## 4. Current Status & Next Steps
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### Status
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- **Codebase**: C++20 standard, fully compiling.
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- **Build System**: integrated into `CMake` with dependencies (NATS, DuckDB, JSON) managed via FetchContent.
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- **Verification**: Alignment checks passed. integration logic implemented.
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### Next Steps (Recommended)
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1. **Live Verification**: Run the engine against a mock data feed to verify end-to-end signal latency.
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2. **Appender Optimization**: Switch from `INSERT INTO` (SQL parsing overhead) to `DuckDB Appender` (direct C++ insert) for higher throughput.
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3. **Lock-Free Queue**: Implement the SPSC queue to pass signals to the execution engine thread without mutex contention.

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