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/* * SOVEREIGN MANIFOLD HIGH-PERFORMANCE ENGINE * File: manifold_core.cpp * Discrete Base-72 State Lattice Positional Converter (S72) */ #include <iostream> #include <vector> #include <cmath> #include <cstdint> constexpr double BASE_72 = 72.0; struct ComplexState { double real; double imag; }; class Base72LatticeEngine { public: // Snaps continuous floating-point state to discrete S72 lattice position static std::vector<int64_t> snapToLattice(double coordinate, int max_power = 4) { std::vector<int64_t> lattice_digits; double remainder = coordinate; for (int k = max_power; k >= -max_power; --k) { double scale = std::pow(BASE_72, k); int64_t digit = static_cast<int64_t>(remainder / scale); lattice_digits.push_back(digit); remainder -= digit * scale; } return lattice_digits; } // Calculates phase velocity: v_phase = delta_x / delta_t static constexpr double calculatePhaseVelocity(double delta_x = 8.0, double delta_t = 5.0) { return delta_x / delta_t; // Enforces 1.6 ratio } }; int main() { ComplexState sample_state{0.5, 14.134725141734693}; // Point on critical line auto real_digits = Base72LatticeEngine::snapToLattice(sample_state.real); std::cout << "Base-72 Lattice Position (Real Axis): "; for (auto d : real_digits) { std::cout << d << " "; } std::cout << "\nPhase Velocity Ratio: " << Base72LatticeEngine::calculatePhaseVelocity() << std::endl; return 0; }