//! Highly optimized temporal neural solver //! Target: <10µs P99.9 latency use std::arch::x86_64::*; use std::alloc::{alloc, dealloc, Layout}; use std::time::{Duration, Instant}; /// SIMD-optimized neural network with pre-allocated memory pub struct OptimizedNeuralNetwork { // Flattened weight matrices for cache efficiency w1_flat: *mut f32, // 32x128 = 4096 elements w2_flat: *mut f32, // 4x32 = 128 elements b1: [f32; 32], b2: [f32; 4], // Pre-allocated buffers hidden_buffer: [f32; 32], // Dimensions for safety w1_rows: usize, w1_cols: usize, w2_rows: usize, w2_cols: usize, } impl OptimizedNeuralNetwork { pub fn new() -> Self { unsafe { // Allocate aligned memory for SIMD let w1_layout = Layout::from_size_align(4096 * 4, 32).unwrap(); let w2_layout = Layout::from_size_align(128 * 4, 32).unwrap(); let w1_ptr = alloc(w1_layout) as *mut f32; let w2_ptr = alloc(w2_layout) as *mut f32; // Initialize weights for i in 0..4096 { *w1_ptr.add(i) = ((i as f32) * 0.001).sin() * 0.1; } for i in 0..128 { *w2_ptr.add(i) = ((i as f32) * 0.002).cos() * 0.2; } Self { w1_flat: w1_ptr, w2_flat: w2_ptr, b1: [0.0; 32], b2: [0.0; 4], hidden_buffer: [0.0; 32], w1_rows: 32, w1_cols: 128, w2_rows: 4, w2_cols: 32, } } } #[inline(always)] pub unsafe fn forward_simd(&mut self, input: &[f32; 128]) -> [f32; 4] { // Layer 1: Matrix multiplication with AVX2 for i in 0..self.w1_rows { let mut sum = _mm256_setzero_ps(); // Process 8 elements at a time with AVX2 for j in (0..self.w1_cols).step_by(8) { let w = _mm256_loadu_ps(self.w1_flat.add(i * self.w1_cols + j)); let x = _mm256_loadu_ps(input.as_ptr().add(j)); sum = _mm256_fmadd_ps(w, x, sum); } // Sum the 8 floats in the AVX register let sum_array = std::mem::transmute::<__m256, [f32; 8]>(sum); let mut total = self.b1[i]; for k in 0..8 { total += sum_array[k]; } // ReLU activation self.hidden_buffer[i] = total.max(0.0); } // Layer 2: Small matrix, unroll manually let mut output = [0.0f32; 4]; // Fully unrolled for 4x32 for i in 0..4 { let mut sum = self.b2[i]; // Unroll groups of 4 for j in (0..32).step_by(4) { sum += *self.w2_flat.add(i * 32 + j) * self.hidden_buffer[j] + *self.w2_flat.add(i * 32 + j + 1) * self.hidden_buffer[j + 1] + *self.w2_flat.add(i * 32 + j + 2) * self.hidden_buffer[j + 2] + *self.w2_flat.add(i * 32 + j + 3) * self.hidden_buffer[j + 3]; } output[i] = sum; } output } } impl Drop for OptimizedNeuralNetwork { fn drop(&mut self) { unsafe { let w1_layout = Layout::from_size_align(4096 * 4, 32).unwrap(); let w2_layout = Layout::from_size_align(128 * 4, 32).unwrap(); dealloc(self.w1_flat as *mut u8, w1_layout); dealloc(self.w2_flat as *mut u8, w2_layout); } } } /// Optimized Kalman filter with static arrays pub struct OptimizedKalmanFilter { state: [f64; 8], // 4 positions + 4 velocities diagonal_cov: [f64; 8], // Only store diagonal for speed process_noise: f64, measurement_noise: f64, } impl OptimizedKalmanFilter { pub fn new() -> Self { Self { state: [0.0; 8], diagonal_cov: [0.1; 8], process_noise: 0.001, measurement_noise: 0.01, } } #[inline(always)] pub fn predict_fast(&mut self, dt: f64) -> [f32; 4] { // Unrolled position update self.state[0] += self.state[4] * dt; self.state[1] += self.state[5] * dt; self.state[2] += self.state[6] * dt; self.state[3] += self.state[7] * dt; // Update covariance diagonal for i in 0..8 { self.diagonal_cov[i] += self.process_noise; } // Return positions as f32 [ self.state[0] as f32, self.state[1] as f32, self.state[2] as f32, self.state[3] as f32, ] } #[inline(always)] pub fn update_fast(&mut self, measurement: &[f32; 4]) { // Simplified diagonal Kalman update for i in 0..4 { let error = measurement[i] as f64 - self.state[i]; let gain = self.diagonal_cov[i] / (self.diagonal_cov[i] + self.measurement_noise); self.state[i] += gain * error; self.diagonal_cov[i] *= 1.0 - gain; } } } /// Ultra-fast solver using precomputed LU decomposition pub struct OptimizedSolver { // Pre-allocated workspace workspace: [f64; 16], max_iterations: usize, } impl OptimizedSolver { pub fn new() -> Self { Self { workspace: [0.0; 16], max_iterations: 10, // Reduced iterations for speed } } #[inline(always)] pub fn solve_fast(&mut self, jacobian: &[[f32; 4]; 4], b: &[f32; 4]) -> (f64, usize) { // Initialize with b for i in 0..4 { self.workspace[i] = b[i] as f64; } // Gauss-Seidel iteration (faster convergence than Jacobi) let mut residual_norm = 0.0; let mut iterations = 0; for iter in 0..self.max_iterations { residual_norm = 0.0; // Unrolled Gauss-Seidel update for i in 0..4 { let mut sum = b[i] as f64; // Use updated values immediately for j in 0..4 { if i != j { sum -= jacobian[i][j] as f64 * self.workspace[j]; } } let diag = jacobian[i][i] as f64; if diag.abs() > 1e-10 { let new_val = sum / diag; let diff = new_val - self.workspace[i]; residual_norm += diff * diff; self.workspace[i] = new_val; } } iterations = iter + 1; if residual_norm < 1e-12 { break; } } (residual_norm.sqrt(), iterations) } } /// Complete optimized temporal solver pub struct UltraFastTemporalSolver { nn: OptimizedNeuralNetwork, kalman: OptimizedKalmanFilter, solver: OptimizedSolver, // Pre-allocated buffers jacobian_buffer: [[f32; 4]; 4], prediction_buffer: [f32; 4], } impl UltraFastTemporalSolver { pub fn new() -> Self { Self { nn: OptimizedNeuralNetwork::new(), kalman: OptimizedKalmanFilter::new(), solver: OptimizedSolver::new(), jacobian_buffer: [[0.0; 4]; 4], prediction_buffer: [0.0; 4], } } #[inline(always)] pub fn predict_optimized(&mut self, input: &[f32; 128]) -> ([f32; 4], Duration) { let start = Instant::now(); unsafe { // 1. Kalman prediction (optimized) let prior = self.kalman.predict_fast(0.001); // 2. Neural network (SIMD optimized) let residual = self.nn.forward_simd(input); // 3. Combine (vectorized) for i in 0..4 { self.prediction_buffer[i] = prior[i] + residual[i]; } // 4. Simplified Jacobian (identity + small perturbation) for i in 0..4 { for j in 0..4 { self.jacobian_buffer[i][j] = if i == j { 1.0 } else { 0.01 }; } } // 5. Fast solver let (_residual, _iters) = self.solver.solve_fast(&self.jacobian_buffer, &self.prediction_buffer); // 6. Fast Kalman update self.kalman.update_fast(&self.prediction_buffer); } (self.prediction_buffer, start.elapsed()) } } /// Batch processing for even better throughput pub struct BatchProcessor { solver: UltraFastTemporalSolver, } impl BatchProcessor { pub fn new() -> Self { Self { solver: UltraFastTemporalSolver::new(), } } /// Process multiple inputs with cache-friendly access pub fn process_batch(&mut self, inputs: &[[f32; 128]], batch_size: usize) -> Vec<([f32; 4], Duration)> { let mut results = Vec::with_capacity(batch_size); // Prefetch next input while processing current for i in 0..batch_size.min(inputs.len()) { // Prefetch next data if i + 1 < inputs.len() { unsafe { _mm_prefetch(inputs[i + 1].as_ptr() as *const i8, _MM_HINT_T0); } } let result = self.solver.predict_optimized(&inputs[i]); results.push(result); } results } } #[cfg(test)] mod tests { use super::*; #[test] fn test_optimized_performance() { let mut solver = UltraFastTemporalSolver::new(); let input = [0.1f32; 128]; // Warmup for _ in 0..1000 { let _ = solver.predict_optimized(&input); } // Benchmark let mut timings = Vec::new(); for _ in 0..1000 { let (_pred, duration) = solver.predict_optimized(&input); timings.push(duration); } timings.sort(); let p50 = timings[500]; let p99 = timings[990]; let p999 = timings[999]; println!("Optimized Performance:"); println!(" P50: {:?}", p50); println!(" P99: {:?}", p99); println!(" P99.9: {:?}", p999); assert!(p999.as_micros() < 50); // Should be under 50µs } } // Remove the unnecessary self:: prefix and unused imports