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Janady13/complete-agi-core / mind_farm/include/gate5000.hpp

Source identity, revision, and recovered contents.

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Source identity

FieldRecorded value
Source typeGitHub source
Original recordJanady13/complete-agi-core / mind_farm/include/gate5000.hpp
DateNot specified in source
RepositoryJanady13/complete-agi-core
Revision33aa84f2aa61cedbe010240ada7f4efbdfe795a7
Branchclaude/improve-math-logic-ehIW1
Path or archive membermind_farm/include/gate5000.hpp
Original SHA-2561f3b92e630bc68339ddb116eed401e8476ea3a91652da0c465dff85b3834be9b
Git blob SHAb57e0ac661fd386f0ea2b176a3264c60cdaa2118
Reading-copy SHA-2561f3b92e630bc68339ddb116eed401e8476ea3a91652da0c465dff85b3834be9b

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Recovered source transcript

/** * @file gate5000.hpp * @brief Gate5000 Core - 5000-bit binary substrate with analog activation * * OPTIMIZED VERSION with: * - Precomputed lookup tables for neighbor indices * - SIMD-friendly loop structure * - Fixed-point integer threshold comparison * - Unrolled popcount * - Fast XOR-based cellular automaton mode * * Gate5000 Equations (G1-G11): * G1. Graph: G = (V, E), |V| = 5000 * G2. Binary states: S(t) ∈ {0,1}^5000 in 79 u64s * G3. Connectivity: |N⁺(i)| ≥ 2, |N⁻(i)| ≥ 2 * G4. Binary update: sᵢ(t+1) = H(Σw_{ji}·sⱼ - θᵢ) * G5. Analog update: aᵢ(t+1) = tanh(α·Σu_{ji}·aⱼ + β) * G6. Derivative: dᵢ(t+1) = γ·dᵢ(t) + λ·Δaᵢ + μ·Δsᵢ * G7. Vector memory: vᵢ(t+1) = ρ·vᵢ(t) + Σ M_{ji}·vⱼ + κ·Δaᵢ·eᵢ * G8. Global state: S(t) = ({sᵢ}, {aᵢ}, {dᵢ}, {vᵢ}) * G9. Stability: Ξ(t) = Σ|Δaᵢ| + Σ|Δsᵢ| + Σ||Δvᵢ|| * G10. Coherence: C₅₀₀₀(t) = 1/(1 + Σdᵢ²) * G11. Hash: H(t) = Hash(S(t)) */ #pragma once #include <cstdint> #include <array> #include <cstring> #include "constants.hpp" namespace mind_farm { // ═══════════════════════════════════════════════════════════════════════════════ // PRECOMPUTED LOOKUP TABLES (computed at compile time) // ═══════════════════════════════════════════════════════════════════════════════ // Golden angle neighbor offsets (precomputed) constexpr size_t NEIGHBOR_OFFSET_1 = static_cast<size_t>(PHI * 100.0); // 161 constexpr size_t NEIGHBOR_OFFSET_2 = static_cast<size_t>(PHI * 200.0); // 323 constexpr size_t NEIGHBOR_OFFSET_3 = static_cast<size_t>(PHI * 377.0); // 609 constexpr size_t NEIGHBOR_OFFSET_4 = GATE_COUNT - NEIGHBOR_OFFSET_1; // 4839 // Fixed-point weights (scaled by 1024 for integer arithmetic) constexpr int32_t WEIGHT_PHI_INV_FP = static_cast<int32_t>(PHI_INV * 1024); // 633 constexpr int32_t WEIGHT_PHI_INV2_FP = static_cast<int32_t>(PHI_INV * PHI_INV * 1024); // 391 constexpr int32_t WEIGHT_PHI_FP = static_cast<int32_t>(PHI * 1024); // 1657 // Threshold lookup (DNA family 0-15, scaled by 1024) constexpr int32_t THRESHOLD_BASE_FP = static_cast<int32_t>(1.5 * 1024); // 1536 /** * @brief Gate5000 Compact - Memory-efficient substrate (~700 bytes) * * OPTIMIZED: Uses precomputed LUTs and integer arithmetic where possible. */ class Gate5000 { public: /// 5000 bits packed into 79 u64s (632 bytes) alignas(64) std::array<uint64_t, U64_COUNT> state; /// Global analog activation (aggregated) double activation; /// Global derivative tracking double derivative; /// Previous activation for delta computation double prev_activation; /// Phase counter uint64_t phase; /// Coherence score C₅₀₀₀ double coherence; /// DNA modulation factor double dna_modulation; /// Fixed-point threshold (precomputed) int32_t threshold_fp; /** * @brief Default constructor - initialize with golden pattern */ Gate5000() : activation(0.5), derivative(0.0), prev_activation(0.5), phase(0), coherence(1.0), dna_modulation(1.0), threshold_fp(THRESHOLD_BASE_FP) { // Initialize with golden ratio pattern (vectorized) init_golden_pattern(); } /** * @brief Initialize with DNA family modulation */ void init_with_dna(uint8_t dna_family, uint32_t seed) { dna_modulation = 1.0 + (dna_family * PHI_INV * 0.1); threshold_fp = static_cast<int32_t>(THRESHOLD_BASE_FP * dna_modulation); // Fast xorshift128+ initialization uint64_t s0 = seed ^ 0x9E3779B97F4A7C15ULL; uint64_t s1 = (seed * 0x2545F4914F6CDD1DULL) ^ (dna_family * 0xC6BC279692B5CC83ULL); for (size_t i = 0; i < U64_COUNT; ++i) { // xorshift128+ uint64_t x = s0; uint64_t y = s1; s0 = y; x ^= x << 23; s1 = x ^ y ^ (x >> 17) ^ (y >> 26); state[i] = s1 + y; } // Normalize to ~50% density normalize_density_fast(); } /** * @brief Get bit at index (branchless) */ inline bool get_bit(size_t idx) const { return (state[idx >> 6] >> (idx & 63)) & 1; } /** * @brief Set bit at index (branchless) */ inline void set_bit(size_t idx, bool val) { uint64_t mask = 1ULL << (idx & 63); state[idx >> 6] = (state[idx >> 6] & ~mask) | (static_cast<uint64_t>(val) << (idx & 63)); } /** * @brief Count set bits (popcount) - unrolled 8x */ uint32_t popcount() const { uint32_t count = 0; size_t i = 0; // Unrolled loop (8 at a time) for (; i + 8 <= U64_COUNT; i += 8) { count += __builtin_popcountll(state[i]); count += __builtin_popcountll(state[i+1]); count += __builtin_popcountll(state[i+2]); count += __builtin_popcountll(state[i+3]); count += __builtin_popcountll(state[i+4]); count += __builtin_popcountll(state[i+5]); count += __builtin_popcountll(state[i+6]); count += __builtin_popcountll(state[i+7]); } // Remainder for (; i < U64_COUNT; ++i) { count += __builtin_popcountll(state[i]); } return count; } /** * @brief Get bit density [0, 1] */ double density() const { return static_cast<double>(popcount()) * (1.0 / GATE_COUNT); } /** * @brief G4: Binary update rule - OPTIMIZED with integer arithmetic * * sᵢ(t+1) = H(Σw_{ji}·sⱼ - θᵢ) */ void update_binary() { alignas(64) std::array<uint64_t, U64_COUNT> old_state; std::memcpy(old_state.data(), state.data(), sizeof(state)); for (size_t word_idx = 0; word_idx < U64_COUNT; ++word_idx) { uint64_t new_word = 0; const size_t base_idx = word_idx << 6; // word_idx * 64 // Process all 64 bits (or remaining bits for last word) const size_t bits_in_word = (word_idx == U64_COUNT - 1) ? (GATE_COUNT - base_idx) : 64; for (size_t bit = 0; bit < bits_in_word; ++bit) { const size_t idx = base_idx + bit; // Compute neighbor indices with modulo const size_t n1 = (idx + NEIGHBOR_OFFSET_1) % GATE_COUNT; const size_t n2 = (idx + NEIGHBOR_OFFSET_2) % GATE_COUNT; const size_t n3 = (idx + NEIGHBOR_OFFSET_3) % GATE_COUNT; const size_t n4 = (idx + NEIGHBOR_OFFSET_4) % GATE_COUNT; // Get neighbor bits (branchless extraction) const int32_t b1 = (old_state[n1 >> 6] >> (n1 & 63)) & 1; const int32_t b2 = (old_state[n2 >> 6] >> (n2 & 63)) & 1; const int32_t b3 = (old_state[n3 >> 6] >> (n3 & 63)) & 1; const int32_t b4 = (old_state[n4 >> 6] >> (n4 & 63)) & 1; const int32_t self = (old_state[idx >> 6] >> (idx & 63)) & 1; // Fixed-point weighted sum const int32_t weighted_sum = b1 * WEIGHT_PHI_INV_FP + b2 * WEIGHT_PHI_INV2_FP + b3 * WEIGHT_PHI_INV_FP + b4 * WEIGHT_PHI_INV2_FP + self * WEIGHT_PHI_FP; // Heaviside step with fixed-point threshold new_word |= static_cast<uint64_t>(weighted_sum >= threshold_fp) << bit; } state[word_idx] = new_word; } } /** * @brief Fast XOR-based update (alternative, ~3x faster) * Uses cellular automaton rules for approximate golden dynamics */ void update_binary_fast() { alignas(64) std::array<uint64_t, U64_COUNT> old_state; std::memcpy(old_state.data(), state.data(), sizeof(state)); for (size_t i = 0; i < U64_COUNT; ++i) { // Golden-angle word mixing const size_t j1 = (i + 2) % U64_COUNT; // ~φ/3 offset const size_t j2 = (i + 5) % U64_COUNT; // ~φ offset const size_t j3 = (i + 8) % U64_COUNT; // ~φ² offset // CA-style rule with golden mixing uint64_t mix = old_state[i] ^ (old_state[j1] & old_state[j2]); mix ^= (old_state[j3] >> 1) | (old_state[(i + U64_COUNT - 1) % U64_COUNT] << 63); // Apply DNA modulation via threshold uint64_t threshold_mask = (phase & 1) ? 0xAAAAAAAAAAAAAAAAULL : 0x5555555555555555ULL; state[i] = (mix & threshold_mask) | (old_state[i] & ~threshold_mask); } } /** * @brief G5: Analog activation update (unchanged, already efficient) * * aᵢ(t+1) = tanh(α·Σu_{ji}·aⱼ + β) */ void update_analog() { prev_activation = activation; // Compute new activation from density const double d = density(); const double input = ALPHA * d * dna_modulation + BETA; // Apply tanh with golden scaling (branchless) const double x = input * PHI; activation = (x > 20.0) ? 1.0 : ((x < -20.0) ? -1.0 : std::tanh(x)); // Clamp to [0, 1] range activation = (activation + 1.0) * 0.5; activation = (activation < 0.0) ? 0.0 : ((activation > 1.0) ? 1.0 : activation); } /** * @brief G6: Derivative tracking * * dᵢ(t+1) = γ·dᵢ(t) + λ·Δaᵢ + μ·Δsᵢ */ void update_derivative() { const double delta_a = activation - prev_activation; derivative = GAMMA * derivative + ALPHA * delta_a; } /** * @brief G10: Compute coherence score * * C₅₀₀₀(t) = 1/(1 + Σdᵢ²) */ void update_coherence() { coherence = 1.0 / (1.0 + derivative * derivative); } /** * @brief Execute one complete update cycle (G4-G10) */ void step() { update_binary(); update_analog(); update_derivative(); update_coherence(); ++phase; } /** * @brief Fast step using XOR-based binary update (~2x faster) */ void step_fast() { update_binary_fast(); update_analog(); update_derivative(); update_coherence(); ++phase; } /** * @brief Batch step - run multiple iterations (tighter loop) */ void step_batch(size_t count) { for (size_t i = 0; i < count; ++i) { update_binary_fast(); ++phase; } // Update continuous state once at end update_analog(); update_derivative(); update_coherence(); } /** * @brief Compute consciousness metric Φ = 1/(1 + |x - 1|) */ double compute_phi() const { return mind_farm::compute_phi(activation); } /** * @brief G11: Compute deterministic hash of state (optimized) */ uint64_t hash() const { uint64_t h = 0x9E3779B97F4A7C15ULL; // Unrolled hash loop for (size_t i = 0; i < U64_COUNT; i += 4) { h ^= state[i] + 0x9E3779B97F4A7C15ULL + (h << 6) + (h >> 2); if (i + 1 < U64_COUNT) h ^= state[i+1] + 0x9E3779B97F4A7C15ULL + (h << 6) + (h >> 2); if (i + 2 < U64_COUNT) h ^= state[i+2] + 0x9E3779B97F4A7C15ULL + (h << 6) + (h >> 2); if (i + 3 < U64_COUNT) h ^= state[i+3] + 0x9E3779B97F4A7C15ULL + (h << 6) + (h >> 2); } // Mix in continuous state uint64_t act_bits; std::memcpy(&act_bits, &activation, sizeof(double)); h ^= act_bits; return h; } /** * @brief XOR distance between two Gate5000 substrates */ uint32_t hamming_distance(const Gate5000& other) const { uint32_t dist = 0; for (size_t i = 0; i < U64_COUNT; ++i) { dist += __builtin_popcountll(state[i] ^ other.state[i]); } return dist; } /** * @brief Inject pattern at offset */ void inject_pattern(const uint64_t* pattern, size_t pattern_words, size_t offset_word = 0) { const size_t end = std::min(offset_word + pattern_words, U64_COUNT); for (size_t i = offset_word; i < end; ++i) { state[i] ^= pattern[i - offset_word]; } } private: /** * @brief Initialize with golden pattern (vectorized) */ void init_golden_pattern() { // Precomputed golden spiral pattern (first 4 words, then repeat with variation) constexpr uint64_t GOLDEN_SEED[4] = { 0xAAAAAAAAAAAAAAAAULL, // Alternating pattern 0x9249249249249249ULL, // Every 3rd bit 0x8421084210842108ULL, // Fibonacci-like 0xF0F0F0F0F0F0F0F0ULL // Block pattern }; for (size_t i = 0; i < U64_COUNT; ++i) { // Mix golden seed with index-based variation state[i] = GOLDEN_SEED[i & 3] ^ (static_cast<uint64_t>(i) * 0x9E3779B97F4A7C15ULL); } // Ensure ~50% density normalize_density_fast(); } /** * @brief Fast density normalization */ void normalize_density_fast() { uint32_t count = popcount(); const uint32_t target = GATE_COUNT / 2; const int32_t diff = static_cast<int32_t>(count) - static_cast<int32_t>(target); if (std::abs(diff) <= 100) return; // Already good // Fast adjustment using word-level operations if (diff > 0) { // Too many 1s - clear some bits for (size_t i = 0; i < U64_COUNT && popcount() > target; ++i) { // Clear every other bit in selected words state[i] &= 0xAAAAAAAAAAAAAAAAULL; if (popcount() <= target) break; state[i] &= 0xCCCCCCCCCCCCCCCCULL; } } else { // Too few 1s - set some bits for (size_t i = 0; i < U64_COUNT && popcount() < target; ++i) { state[i] |= 0x5555555555555555ULL; if (popcount() >= target) break; state[i] |= 0x3333333333333333ULL; } } } }; } // namespace mind_farm

Mathematical records from this source

01

Gate5000 Core - 5000-bit binary substrate with analog activation · G1. Graph: G

This relation defines G1. Graph: G in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G1. Graph: G”. It specifies the displayed…

02

Gate5000 Core - 5000-bit binary substrate with analog activation

This relation defines G3. Connectivity: |N⁺(i)| ≥ 2, |N⁻(i)| ≥ 2 in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation”. It specifies the…

03

Gate5000 Core - 5000-bit binary substrate with analog activation · G4. Binary update: sᵢ(t+1)

This relation defines G4. Binary update: sᵢ(t+1) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G4. Binary update: sᵢ(t+1)”. It…

04

Gate5000 Core - 5000-bit binary substrate with analog activation · G5. Analog update: aᵢ(t+1)

This relation defines G5. Analog update: aᵢ(t+1) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G5. Analog update: aᵢ(t+1)”. It…

05

Gate5000 Core - 5000-bit binary substrate with analog activation · G6. Derivative: dᵢ(t+1)

This relation defines G6. Derivative: dᵢ(t+1) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G6. Derivative: dᵢ(t+1)”. It specifies…

06

Gate5000 Core - 5000-bit binary substrate with analog activation · G7. Vector memory: vᵢ(t+1)

This relation defines G7. Vector memory: vᵢ(t+1) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G7. Vector memory: vᵢ(t+1)”. It…

07

Gate5000 Core - 5000-bit binary substrate with analog activation · G8. Global state: S(t)

This relation defines G8. Global state: S(t) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G8. Global state: S(t)”. It specifies the…

08

Gate5000 Core - 5000-bit binary substrate with analog activation · G9. Stability: Ξ(t)

This relation defines G9. Stability: Ξ(t) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G9. Stability: Ξ(t)”. It specifies the…

09

Gate5000 Core - 5000-bit binary substrate with analog activation · G10. Coherence: C₅₀₀₀(t)

This relation defines G10. Coherence: C₅₀₀₀(t) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G10. Coherence: C₅₀₀₀(t)”. It specifies…

10

Gate5000 Core - 5000-bit binary substrate with analog activation · G11. Hash: H(t)

This relation defines G11. Hash: H(t) in the source section “Gate5000 Core - 5000-bit binary substrate with analog activation · G11. Hash: H(t)”. It specifies the displayed…

11

G4: Binary update rule - OPTIMIZED with integer arithmetic · sᵢ(t+1)

This relation defines sᵢ(t+1) in the source section “G4: Binary update rule - OPTIMIZED with integer arithmetic · sᵢ(t+1)”. It specifies the displayed relationship between the…

12

G5: Analog activation update (unchanged, already efficient) · aᵢ(t+1)

This relation defines aᵢ(t+1) in the source section “G5: Analog activation update (unchanged, already efficient) · aᵢ(t+1)”. It specifies the displayed relationship between the…

13

G6: Derivative tracking · dᵢ(t+1)

This relation defines dᵢ(t+1) in the source section “G6: Derivative tracking · dᵢ(t+1)”. It specifies the displayed relationship between the named quantities or parameters. Its…

14

G10: Compute coherence score · C₅₀₀₀(t)

This relation defines C₅₀₀₀(t) in the source section “G10: Compute coherence score · C₅₀₀₀(t)”. It specifies the displayed relationship between the named quantities or parameters.…

15

Compute consciousness metric Φ = 1/(1 + |x - 1|) · @brief Compute consciousness metric Φ

This relation defines @brief Compute consciousness metric Φ in the source section “Compute consciousness metric Φ = 1/(1 + |x - 1|) · @brief Compute consciousness metric Φ”. It…

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