#!/usr/bin/env python3 """ Equation Forest to Genome18 Encoder Maps the 12-kernel equation forest to 6x3-bit Genome18 bins for FPGA LUT addressing. Mapping: - F01-F03 (entropy/compression) → mBin, neBin, sigmaBin - F04-F07 (thermodynamic limits) → cost/failure mask (derived) - F08-F10 (geometry/geodesics) → cBin (connectance) - F11-F12 (load/routing) → muBin (mutation/drift), rhoBin (verification pressure) - DIAT/AVMR/S3C/PIST bridge → encoded transition surface Stack: raw equation → F01-F12 kernel signature → street / bridge assignment → six 3-bit Genome18 bins → 18-bit ISA/LUT address → FPGA route expansion → PIST/witness audit → Lean/proof/executable check """ import json import numpy as np from typing import Dict, List, Tuple class Genome18Encoder: """Encodes equation forest signatures into Genome18 addresses.""" def __init__(self): self.bin_ranges = { "muBin": (0, 7), "rhoBin": (0, 7), "cBin": (0, 7), "mBin": (0, 7), "neBin": (0, 7), "sigmaBin": (0, 7) } def kernel_to_bins(self, foundation_vector: List[float]) -> Dict[str, int]: """ Map 12-dimensional kernel vector to 6 bins (3 bits each). Mapping: - muBin: F11 (aggregate load) + F12 (routing ratio) → mutation/drift - rhoBin: F11 (aggregate load) - F12 (routing ratio) → verification pressure - cBin: F08 (metric) + F09 (connection) + F10 (geodesic) → connectance - mBin: F01 (local entropy) + F02 (global entropy) → compression residue - neBin: F03 (hierarchical entropy) → effective sample - sigmaBin: F01 (local entropy) - F02 (global entropy) → fitness proxy """ # Extract kernel values f01, f02, f03, f04, f05, f06, f07, f08, f09, f10, f11, f12 = foundation_vector # Compute bin values (scaled to 0-7 range) muBin = self._scale_to_3bit(f11 + f12) # routing load rhoBin = self._scale_to_3bit(abs(f11 - f12)) # verification pressure cBin = self._scale_to_3bit(f08 + f09 + f10) # connectance mBin = self._scale_to_3bit(f01 + f02) # compression residue neBin = self._scale_to_3bit(f03) # effective sample sigmaBin = self._scale_to_3bit(abs(f01 - f02)) # fitness proxy return { "muBin": int(muBin), "rhoBin": int(rhoBin), "cBin": int(cBin), "mBin": int(mBin), "neBin": int(neBin), "sigmaBin": int(sigmaBin) } def _scale_to_3bit(self, value: float) -> int: """Scale a float value to 0-7 range (3 bits).""" # Clamp to 0-2 range first (typical for kernel values) clamped = max(0.0, min(2.0, value)) # Scale to 0-7 scaled = int(clamped * 3.5) return min(7, max(0, scaled)) def bins_to_address(self, bins: Dict[str, int]) -> int: """ Compute 18-bit address from 6 bins. Address calculation: addr = muBin * 32768 + rhoBin * 4096 + cBin * 512 + mBin * 64 + neBin * 8 + sigmaBin """ addr = ( bins["muBin"] * 32768 + bins["rhoBin"] * 4096 + bins["cBin"] * 512 + bins["mBin"] * 64 + bins["neBin"] * 8 + bins["sigmaBin"] ) return addr def encode_equation(self, equation: Dict) -> Dict: """Encode a single equation into Genome18 bins and address.""" foundation_vector = equation.get("foundation_vector", [0.0] * 12) # Map to bins bins = self.kernel_to_bins(foundation_vector) # Compute address address = self.bins_to_address(bins) return { "uuid": equation.get("uuid"), "model_name": equation.get("model_name"), "genome18_bins": bins, "genome18_address": address } def encode_forest(self, equations: List[Dict]) -> List[Dict]: """Encode all equations in the forest.""" encoded = [] for eq in equations: if eq.get("namespace") == "equation": encoded.append(self.encode_equation(eq)) return encoded def main(): """Main entry point.""" equations_file = "/home/allaun/Documents/Research Stack/data/equations_forest.jsonl" output_file = "/home/allaun/Documents/Research Stack/data/equations_forest_genome18.jsonl" # Load equations equations = [] with open(equations_file, 'r') as f: for line in f: if line.strip(): try: equations.append(json.loads(line)) except json.JSONDecodeError as e: print(f"Skipping malformed line: {e}") continue # Encode encoder = Genome18Encoder() encoded = encoder.encode_forest(equations) # Save with open(output_file, 'w') as f: for enc in encoded: f.write(json.dumps(enc) + '\n') print(f"Encoded {len(encoded)} equations to Genome18 addresses") print(f"Output saved to {output_file}") if __name__ == "__main__": main()