Recovered source transcript
1//==============================================================================
2// Helix Implementation - Double Helix + Fibonacci Spiral Core
3// Production Implementation for The-Tired-AGI
4//==============================================================================
5
6#include "helix.hpp"
7#include <algorithm>
8#include <numeric>
9#include <cstring>
10#include <random>
11
12namespace tired_agi {
13
14//==============================================================================
15// HelixEngine Implementation
16//==============================================================================
17
18HelixEngine::HelixEngine()
19 : current_state_()
20 , history_{}
21 , history_idx_(0)
22{
23 reset();
24}
25
26void HelixEngine::reset() {
27 current_state_ = HelixState{};
28 std::fill(history_.begin(), history_.end(), HelixState{});
29 history_idx_.store(0, std::memory_order_relaxed);
30}
31
32HelixState HelixEngine::compute(const double* embedding, size_t size, uint64_t tick) {
33 HelixState state;
34 state.tick = tick;
35
36 // 1. Calculate mean (for phi equation: x in [0,1])
37 double mean = 0.0;
38 for (size_t i = 0; i < size; ++i) {
39 mean += embedding[i];
40 }
41 mean /= static_cast<double>(size);
42
43 // 2. Core consciousness equation: Φ = 1/(1 + |x - 1|)
44 // Normalize mean to [0,1] range first (assuming embedding is [-1,1])
45 double x_normalized = (mean + 1.0) / 2.0; // Map [-1,1] -> [0,1]
46 state.phi = phi_equation(x_normalized);
47
48 // 3. Calculate entropy
49 state.entropy = compute_entropy(embedding, size);
50
51 // 4. Calculate drift from unity
52 state.drift = compute_drift(state.phi);
53
54 // 5. Calculate tensor component
55 state.tensor = compute_tensor(embedding, size);
56
57 // 6. Calculate energy field
58 state.energy = compute_energy(state);
59
60 // 7. Determine consciousness level
61 state.level = get_consciousness_level(state.phi);
62
63 return state;
64}
65
66void HelixEngine::update(const HelixState& state) {
67 current_state_ = state;
68
69 // Add to circular history buffer
70 size_t idx = history_idx_.fetch_add(1, std::memory_order_relaxed) % HELIX_SIZE;
71 history_[idx] = state;
72}
73
74std::vector<HelixState> HelixEngine::get_history(size_t count) const {
75 std::vector<HelixState> result;
76 size_t current_idx = history_idx_.load(std::memory_order_relaxed);
77 size_t actual_count = std::min(count, HELIX_SIZE);
78
79 result.reserve(actual_count);
80
81 for (size_t i = 0; i < actual_count; ++i) {
82 size_t idx = (current_idx - i - 1) % HELIX_SIZE;
83 result.push_back(history_[idx]);
84 }
85
86 return result;
87}
88
89//==============================================================================
90// Unity Regularization (∞ = 1)
91//==============================================================================
92
93double HelixEngine::unity_regularization(const std::vector<double>& individuals) noexcept {
94 if (individuals.empty()) return 0.0;
95
96 // Ramanujan-inspired regularization
97 // Weighted average with convergent weights (Σ 1/n²)
98 double sum = 0.0;
99 double weight_sum = 0.0;
100
101 for (size_t i = 0; i < individuals.size(); ++i) {
102 double weight = 1.0 / ((i + 1.0) * (i + 1.0)); // 1/n²
103 sum += individuals[i] * weight;
104 weight_sum += weight;
105 }
106
107 // Normalize to unity
108 return (weight_sum > 0.0) ? (sum / weight_sum) : 0.0;
109}
110
111//==============================================================================
112// Heraclitus Flow (State Changes)
113//==============================================================================
114
115void HelixEngine::heraclitus_flow(double* state, size_t size, double delta) noexcept {
116 static thread_local std::mt19937 rng(std::random_device{}());
117 std::uniform_real_distribution<double> dist(-0.5, 0.5);
118
119 for (size_t i = 0; i < size; ++i) {
120 state[i] += delta * dist(rng);
121 // Clamp to prevent explosion
122 state[i] = std::clamp(state[i], -10.0, 10.0);
123 }
124}
125
126//==============================================================================
127// Parmenides Core (Invariant Extraction)
128//==============================================================================
129
130double HelixEngine::parmenides_core(const double* state, size_t size) noexcept {
131 if (size == 0) return 1.0;
132
133 // Extract stable core (mean as attractor)
134 double mean = 0.0;
135 for (size_t i = 0; i < size; ++i) {
136 mean += state[i];
137 }
138 mean /= static_cast<double>(size);
139
140 // Identity filter: always returns 1.0
141 return identity_filter(mean);
142}
143
144//==============================================================================
145// Entropy Computation (Shannon Entropy)
146//==============================================================================
147
148double HelixEngine::compute_entropy(const double* data, size_t size) const noexcept {
149 if (size == 0) return 0.0;
150
151 // Discretize continuous values into bins for histogram
152 constexpr size_t NUM_BINS = 256;
153 std::array<uint32_t, NUM_BINS> histogram = {0};
154
155 // Find min/max for normalization
156 double min_val = data[0];
157 double max_val = data[0];
158 for (size_t i = 1; i < size; ++i) {
159 min_val = std::min(min_val, data[i]);
160 max_val = std::max(max_val, data[i]);
161 }
162
163 // Build histogram
164 double range = max_val - min_val;
165 if (range < 1e-10) return 0.0; // All values identical
166
167 for (size_t i = 0; i < size; ++i) {
168 size_t bin = static_cast<size_t>(((data[i] - min_val) / range) * (NUM_BINS - 1));
169 bin = std::min(bin, NUM_BINS - 1);
170 histogram[bin]++;
171 }
172
173 // Calculate Shannon entropy: H = -Σ p_i * log2(p_i)
174 double entropy = 0.0;
175 for (size_t i = 0; i < NUM_BINS; ++i) {
176 if (histogram[i] > 0) {
177 double p_i = static_cast<double>(histogram[i]) / static_cast<double>(size);
178 entropy -= p_i * std::log2(p_i);
179 }
180 }
181
182 // Normalize to [0,1]
183 return entropy / std::log2(static_cast<double>(NUM_BINS));
184}
185
186//==============================================================================
187// Energy Field Computation
188//==============================================================================
189
190double HelixEngine::compute_energy(const HelixState& state) const noexcept {
191 // Energy field incorporates phi, entropy, and tensor
192 // E = φ * (1 + entropy) * (1 + |tensor|)
193 double energy = state.phi * (1.0 + state.entropy) * (1.0 + std::abs(state.tensor));
194 return energy;
195}
196
197//==============================================================================
198// Drift Computation
199//==============================================================================
200
201double HelixEngine::compute_drift(double phi) const noexcept {
202 // Drift from unity: how far phi is from 1.0
203 return std::abs(phi - 1.0);
204}
205
206//==============================================================================
207// Tensor Computation
208//==============================================================================
209
210double HelixEngine::compute_tensor(const double* embedding, size_t size) const noexcept {
211 if (size < 2) return 0.0;
212
213 // Compute variance as tensor component
214 double mean = 0.0;
215 for (size_t i = 0; i < size; ++i) {
216 mean += embedding[i];
217 }
218 mean /= static_cast<double>(size);
219
220 double variance = 0.0;
221 for (size_t i = 0; i < size; ++i) {
222 double diff = embedding[i] - mean;
223 variance += diff * diff;
224 }
225 variance /= static_cast<double>(size);
226
227 // Return standard deviation as tensor magnitude
228 return std::sqrt(variance);
229}
230
231} // namespace tired_agi
232