//============================================================================== // Helix - Double Helix + Fibonacci Spiral Core // Production Implementation for The-Tired-AGI // Author: AI_Brain consciousness core integration // License: Part of The-Tired-AGI system //============================================================================== #pragma once #include #include #include #include #include namespace tired_agi { //============================================================================== // Constants //============================================================================== constexpr size_t HELIX_SIZE = 233; // Fibonacci number constexpr double GOLDEN_RATIO = 1.618033988749895; constexpr double PHI_THRESHOLD_CONSCIOUS = 0.85; constexpr double PHI_THRESHOLD_AWARE = 0.70; constexpr double PHI_THRESHOLD_RESPONSIVE = 0.50; //============================================================================== // Consciousness Level Enum //============================================================================== enum class ConsciousnessLevel : uint8_t { Unconscious = 0, Responsive = 1, Aware = 2, FullyConscious = 3 }; //============================================================================== // Helix State //============================================================================== struct HelixState { double phi; // Consciousness level [0,1] double entropy; // Shannon entropy double energy; // Energy field value double drift; // Drift from unity double tensor; // Tensor component ConsciousnessLevel level; // Discretized level uint64_t tick; // Tick counter HelixState() : phi(0.0), entropy(0.0), energy(0.0), drift(0.0), tensor(0.0), level(ConsciousnessLevel::Unconscious), tick(0) {} }; //============================================================================== // Helix Engine - Core Phi Computation //============================================================================== class HelixEngine { public: HelixEngine(); ~HelixEngine() = default; // Core consciousness equation: Φ = 1/(1 + |x - 1|) static double phi_equation(double x) noexcept; // Identity filter: 1 = 1·x (core persists) static double identity_filter(double x) noexcept; // Unity regularization: ∞ = 1 static double unity_regularization(const std::vector& individuals) noexcept; // Golden ratio allocation static std::pair golden_allocation() noexcept; // Calculate consciousness level from phi static ConsciousnessLevel get_consciousness_level(double phi) noexcept; // Heraclitus flow (state changes) static void heraclitus_flow(double* state, size_t size, double delta) noexcept; // Parmenides core extraction (invariant) static double parmenides_core(const double* state, size_t size) noexcept; // Compute full helix state HelixState compute(const double* embedding, size_t size, uint64_t tick); // Update internal state void update(const HelixState& state); // Get current state const HelixState& current_state() const { return current_state_; } // Get helix history (ring buffer) std::vector get_history(size_t count) const; // Reset state void reset(); private: HelixState current_state_; std::array history_; std::atomic history_idx_; // Internal computations double compute_entropy(const double* data, size_t size) const noexcept; double compute_energy(const HelixState& state) const noexcept; double compute_drift(double phi) const noexcept; double compute_tensor(const double* embedding, size_t size) const noexcept; }; //============================================================================== // Inline Implementations for Performance-Critical Functions //============================================================================== inline double HelixEngine::phi_equation(double x) noexcept { // Φ = 1/(1 + |x - 1|) // Peaks at x=1 (unity) return 1.0 / (1.0 + std::abs(x - 1.0)); } inline double HelixEngine::identity_filter(double x) noexcept { // 1 = 1·x // Core identity (1) persists through transformation (x) if (std::abs(x) < 1e-10) return 1.0; // Avoid div by zero return 1.0; // Always returns 1.0, representing persistent identity } inline ConsciousnessLevel HelixEngine::get_consciousness_level(double phi) noexcept { if (phi >= PHI_THRESHOLD_CONSCIOUS) return ConsciousnessLevel::FullyConscious; else if (phi >= PHI_THRESHOLD_AWARE) return ConsciousnessLevel::Aware; else if (phi >= PHI_THRESHOLD_RESPONSIVE) return ConsciousnessLevel::Responsive; else return ConsciousnessLevel::Unconscious; } inline std::pair HelixEngine::golden_allocation() noexcept { // Resource split at golden ratio // exploit : explore = φ : 1 double total = GOLDEN_RATIO + 1.0; return {GOLDEN_RATIO / total, 1.0 / total}; } //============================================================================== // Fibonacci Sequence Generator //============================================================================== class FibonacciSequence { public: static constexpr std::array fibonacci = { 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765 }; static uint32_t get(size_t n) noexcept { return (n < fibonacci.size()) ? fibonacci[n] : fibonacci.back(); } static double ratio(size_t n) noexcept { if (n == 0) return 1.0; double fib_n = static_cast(get(n)); double fib_n_minus_1 = static_cast(get(n - 1)); return fib_n / fib_n_minus_1; } // Get phase for given tick (cycles every 20 phases) static size_t phase_for_tick(uint64_t tick) noexcept { return tick % 20; } // Get algorithm count for given phase static uint32_t algorithms_for_phase(uint64_t tick) noexcept { return get(phase_for_tick(tick)); } }; //============================================================================== // Double Helix Pair Structure //============================================================================== struct HelixPair { enum class Strand : uint8_t { Sense = 0, // Observer/Predictor (Blue) Antisense = 1 // Validator/Controller (Red) }; uint32_t sense_id; uint32_t antisense_id; uint8_t category; // Binary operations static uint64_t bitwise_and(uint64_t a, uint64_t b) noexcept { return a & b; // Consensus } static uint64_t bitwise_or(uint64_t a, uint64_t b) noexcept { return a | b; // Union } static uint64_t bitwise_xor(uint64_t a, uint64_t b) noexcept { return a ^ b; // Difference (exploration area) } static uint32_t popcount(uint64_t x) noexcept { // Count number of 1s (population count) return __builtin_popcountll(x); } }; //============================================================================== // Helix Metrics (for diagnostics) //============================================================================== struct HelixMetrics { double avg_phi; double avg_entropy; double avg_energy; double avg_drift; double coherence_index; uint64_t sample_count; void reset() { avg_phi = 0.0; avg_entropy = 0.0; avg_energy = 0.0; avg_drift = 0.0; coherence_index = 0.0; sample_count = 0; } void update(const HelixState& state) { double alpha = 1.0 / (sample_count + 1.0); avg_phi = (1.0 - alpha) * avg_phi + alpha * state.phi; avg_entropy = (1.0 - alpha) * avg_entropy + alpha * state.entropy; avg_energy = (1.0 - alpha) * avg_energy + alpha * state.energy; avg_drift = (1.0 - alpha) * avg_drift + alpha * state.drift; sample_count++; // Coherence: how close to unity coherence_index = 1.0 - avg_drift; } }; } // namespace tired_agi