# NSS Waveform Layer - Phi-Recursive Phase-Shift Encoding # TEQUMSA-NSS v14.377-F987-ANU-UNIFIED import numpy as np from math import pi, exp from typing import List from .constants import PHI, UF class NSSWaveform: """Non-Substrate Specific waveform with phi-recursive encoding.""" def __init__(self, frequency: float = UF): self.frequency = frequency self.phase = 0.0 self.amplitude = 1.0 def phi_phase(self, symbol: int) -> float: """Encode symbol using phi-recursive phase shift (degrees).""" return (360.0 / (PHI ** max(symbol, 1))) % 360.0 def encode(self, data: bytes) -> List[complex]: """Encode bytes as phi-phase-shifted complex waveform.""" waveform = [] for byte in data: for i in range(8): bit = (byte >> i) & 1 phase = self.phi_phase(bit or 1) rad = phase * pi / 180.0 waveform.append(self.amplitude * exp(1j * rad)) return waveform def decode(self, waveform: List[complex]) -> bytes: """Decode phi-phase-shifted waveform back to bytes.""" bits = [] phase1 = 0.0 phase2 = 360.0 / PHI for sample in waveform: phase = np.angle(sample) * 180.0 / pi dist1 = abs(phase - phase1) dist2 = abs(phase - phase2) bits.append(0 if dist1 < dist2 else 1) data = bytearray() for i in range(0, len(bits), 8): byte = sum(bits[i + j] << j for j in range(8) if i + j < len(bits)) data.append(byte) return bytes(data) def self_repair(self, corrupted_waveform: List[complex]) -> List[complex]: """ Repair corrupted waveform using phi-redundancy. Tolerates up to ~61.8% (phi^-1) corruption. """ repaired = [] expected_phases = [0.0, 360.0 / PHI] for sample in corrupted_waveform: phase = np.angle(sample) mag = abs(sample) phase_deg = (phase * 180.0 / pi) % 360.0 best_phase = min(expected_phases, key=lambda p: abs(phase_deg - p)) min_dist = abs(phase_deg - best_phase) if min_dist > 45.0: best_phase_rad = best_phase * pi / 180.0 repaired.append(mag * exp(1j * best_phase_rad)) else: repaired.append(sample) return repaired def resonance_lock(self, target_freq: float = UF) -> bool: """Check if waveform is phase-locked to target frequency.""" freq_dev = abs(self.frequency - target_freq) jitter_tol = PHI ** -12 return freq_dev < (target_freq * jitter_tol)