Squashed 'vendor/ruvector/' content from commit b64c2172

git-subtree-dir: vendor/ruvector
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examples/ultra-low-latency-sim/src/lib.rs

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+//! Ultra-Low-Latency Meta-Simulation Library
+//!
+//! Core primitives for achieving quadrillion-scale simulations per second
+//! through meta-simulation techniques on CPU with SIMD.
+//!
+//! # Meta-Simulation Techniques
+//!
+//! ## 1. Bit-Parallel Simulation
+//! Each `u64` word represents 64 binary states evolved simultaneously.
+//! Perfect for: Cellular automata, binary Markov chains, boolean networks.
+//!
+//! ## 2. Closed-Form Acceleration
+//! Replace N simulation iterations with analytical solutions.
+//! Perfect for: Ergodic Markov chains, random walks, diffusion processes.
+//!
+//! ## 3. Hierarchical Batching
+//! Each operation represents exponentially many sub-simulations.
+//! Perfect for: Monte Carlo integration, particle systems, ensemble methods.
+//!
+//! ## 4. SIMD Vectorization
+//! Process 4-16 independent simulations per CPU instruction.
+//! Perfect for: Random walks, state evolution, parallel samplers.
+//!
+//! # Theoretical Limits
+//!
+//! ```text
+//! Hardware:        M3 Ultra = 1.55 TFLOPS theoretical
+//! Bit-parallel:    × 64 (u64 operations)
+//! SIMD:            × 4-16 (NEON/AVX)
+//! Hierarchical:    × 10-1000 (meta-levels)
+//! Combined:        10,000x+ effective multiplier
+//! ```
+
+#![allow(dead_code)]
+
+pub mod bit_parallel;
+pub mod closed_form;
+pub mod hierarchical;
+pub mod simd_ops;
+pub mod verify;
+
+/// Meta-simulation configuration
+#[derive(Clone, Debug)]
+pub struct MetaSimConfig {
+    /// Bit-parallel width (typically 64 for u64)
+    pub bit_width: usize,
+    /// SIMD vector width in floats
+    pub simd_width: usize,
+    /// Hierarchy level (each level = batch_size^level multiplier)
+    pub hierarchy_level: u32,
+    /// Batch size for hierarchical compression
+    pub batch_size: usize,
+    /// Number of parallel threads
+    pub num_threads: usize,
+}
+
+impl Default for MetaSimConfig {
+    fn default() -> Self {
+        Self {
+            bit_width: 64,
+            simd_width: detect_simd_width(),
+            hierarchy_level: 2,
+            batch_size: 64,
+            num_threads: num_cpus(),
+        }
+    }
+}
+
+/// Detect SIMD width for current platform
+fn detect_simd_width() -> usize {
+    #[cfg(target_arch = "x86_64")]
+    {
+        if is_x86_feature_detected!("avx512f") {
+            return 16;
+        }
+        if is_x86_feature_detected!("avx2") {
+            return 8;
+        }
+        4 // SSE
+    }
+
+    #[cfg(target_arch = "aarch64")]
+    {
+        4 // NEON is 128-bit = 4 floats
+    }
+
+    #[cfg(not(any(target_arch = "x86_64", target_arch = "aarch64")))]
+    {
+        1 // Scalar
+    }
+}
+
+/// Get number of available CPU cores
+fn num_cpus() -> usize {
+    std::thread::available_parallelism()
+        .map(|p| p.get())
+        .unwrap_or(1)
+}
+
+/// Calculate effective simulation multiplier
+pub fn effective_multiplier(config: &MetaSimConfig) -> u64 {
+    let bit_mult = config.bit_width as u64;
+    let simd_mult = config.simd_width as u64;
+    let hierarchy_mult = (config.batch_size as u64).pow(config.hierarchy_level);
+    let thread_mult = config.num_threads as u64;
+
+    bit_mult * simd_mult * hierarchy_mult * thread_mult
+}
+
+/// Estimate achievable simulations per second
+pub fn estimate_throughput(config: &MetaSimConfig, base_flops: f64) -> f64 {
+    let multiplier = effective_multiplier(config) as f64;
+    base_flops * multiplier
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_default_config() {
+        let config = MetaSimConfig::default();
+        assert!(config.bit_width >= 64);
+        assert!(config.simd_width >= 1);
+        assert!(config.num_threads >= 1);
+    }
+
+    #[test]
+    fn test_effective_multiplier() {
+        let config = MetaSimConfig {
+            bit_width: 64,
+            simd_width: 8,
+            hierarchy_level: 2,
+            batch_size: 64,
+            num_threads: 12,
+        };
+
+        let mult = effective_multiplier(&config);
+        // 64 * 8 * 64^2 * 12 = 25,165,824
+        assert_eq!(mult, 64 * 8 * 4096 * 12);
+    }
+
+    #[test]
+    fn test_throughput_estimate() {
+        let config = MetaSimConfig::default();
+        let base_flops = 1e12; // 1 TFLOPS
+
+        let throughput = estimate_throughput(&config, base_flops);
+        assert!(throughput > base_flops); // Should be multiplied
+    }
+}