#!/usr/bin/env python3 """Generate a transfold adaptation from an enwiki8 slice into magnetic-domain equations. The generator treats byte-stream statistics as a signal surface and maps them into a magnetic-domain analogue: information pressure -> applied field H byte-transition structure -> susceptibility chi repeated-state memory -> remanence R threshold overflow -> hysteresis / heat-loss channel This is a stress-test generator, not a compressor and not a physics claim. It is meant to make the cross-domain response-family framework executable on a real or enwiki8-like byte slice and leave a receipt for later comparison. """ from __future__ import annotations import argparse import collections import hashlib import json import math from pathlib import Path from typing import Any, Iterable REPO = Path(__file__).resolve().parents[2] SHIM = REPO / "4-Infrastructure" / "shim" OUT = SHIM / "transfold_enwiki8_magnetic_domain_generator_receipt.json" CURRICULUM = SHIM / "transfold_enwiki8_magnetic_domain_generator_curriculum.jsonl" PHI = (1.0 + math.sqrt(5.0)) / 2.0 D_F = math.log(2.0) / math.log(PHI) PHI_GAIN = PHI**D_F def stable_json(obj: Any) -> str: return json.dumps(obj, sort_keys=True, separators=(",", ":"), ensure_ascii=True) def sha256_bytes(data: bytes) -> str: return hashlib.sha256(data).hexdigest() def rel(path: Path) -> str: try: return str(path.relative_to(REPO)) except ValueError: return str(path) def sigmoid(x: float) -> float: if x >= 0: z = math.exp(-x) return 1.0 / (1.0 + z) z = math.exp(x) return z / (1.0 + z) def shannon_entropy(data: bytes) -> float: if not data: return 0.0 counts = collections.Counter(data) n = len(data) return -sum((c / n) * math.log2(c / n) for c in counts.values()) def transition_rate(data: bytes) -> float: if len(data) < 2: return 0.0 changes = sum(1 for a, b in zip(data, data[1:]) if a != b) return changes / (len(data) - 1) def repetition_rate(data: bytes, ngram: int = 4) -> float: if len(data) < ngram: return 0.0 total = len(data) - ngram + 1 counts: dict[bytes, int] = collections.Counter( data[i : i + ngram] for i in range(total) ) repeated = sum(c - 1 for c in counts.values() if c > 1) return repeated / total def printable_ratio(data: bytes) -> float: if not data: return 0.0 printable = sum(1 for b in data if b in (9, 10, 13) or 32 <= b <= 126) return printable / len(data) def chunk_bytes(data: bytes, chunk_size: int, limit: int | None) -> list[bytes]: chunks = [data[i : i + chunk_size] for i in range(0, len(data), chunk_size)] if limit is not None: chunks = chunks[:limit] return [c for c in chunks if c] def local_fallback_bytes(target_bytes: int) -> tuple[bytes, dict[str, Any]]: """Build a deterministic text fallback when enwiki8 is not present locally.""" candidates = [ REPO / "docs" / "rainbow_raccoon_compiler_integration.md", REPO / "docs" / "compression_signal_shaping_synthesis.md", REPO / "6-Documentation" / "tiddlywiki-local" / "wiki" / "tiddlers" / "Transfolding.tid", REPO / "4-Infrastructure" / "shim" / "multi_domain_adaptive_cognitive_load.md", ] parts: list[bytes] = [] used: list[dict[str, Any]] = [] for path in candidates: if path.exists(): data = path.read_bytes() parts.append(data) used.append({"path": rel(path), "bytes": len(data), "sha256": sha256_bytes(data)}) seed = b"\n\n".join(parts) or ( b"enwiki8-like fallback text: transfold response family overflow magnetic domain\n" ) repeats = max(1, math.ceil(target_bytes / len(seed))) data = (seed * repeats)[:target_bytes] return data, { "source_mode": "fallback_local_text_not_enwiki8", "claim_boundary": "Stress-test exercised byte-slice path; not a real enwiki8 measurement.", "fallback_sources": used, } def find_default_source() -> Path | None: candidates = [ REPO / "enwiki8", REPO / "data" / "enwiki8", REPO / "shared-data" / "enwiki8", REPO / "5-Applications" / "hutter_prize" / "data" / "enwiki8", REPO / "5-Applications" / "hutter_prize" / "enwiki8", ] for path in candidates: if path.exists() and path.is_file(): return path return None def read_source(path: Path | None, slice_bytes: int) -> tuple[bytes, dict[str, Any]]: if path is None: default = find_default_source() path = default if path is None: return local_fallback_bytes(slice_bytes) data = path.read_bytes()[:slice_bytes] return data, { "source_mode": "real_file", "path": rel(path), "available_bytes": path.stat().st_size, "slice_bytes": len(data), "sha256": sha256_bytes(data), } def response_family(x: float, family: str, theta: dict[str, float]) -> float: x = max(0.0, x) if family == "logarithmic": return math.log1p(theta.get("beta", 1.0) * x) if family == "hill": k = max(theta.get("k", 1.0), 1e-9) n = max(theta.get("n", 2.0), 1e-9) return (x**n) / (k**n + x**n) if family == "michaelis_menten": vmax = theta.get("vmax", 1.0) km = max(theta.get("km", 1.0), 1e-9) return (vmax * x) / (km + x) if family == "power": return x ** theta.get("alpha", 0.5) raise ValueError(f"unknown response family: {family}") def overflow_gate(load: float, threshold: float, gamma: float, thermal_scale: float) -> float: if load <= threshold: return 1.0 return math.exp(-gamma * (load - threshold) / max(thermal_scale, 1e-9)) def magnetic_domain_projection( chunk: bytes, index: int, capacity_threshold: float, coercive_threshold: float, ) -> dict[str, Any]: entropy_bits = shannon_entropy(chunk) normalized_entropy = entropy_bits / 8.0 transitions = transition_rate(chunk) repeats = repetition_rate(chunk) printable = printable_ratio(chunk) # Load is a bounded signal-pressure prior. Entropy is demand, transitions # are field agitation, and repeated n-grams are memory/remanence. information_load = ( response_family(normalized_entropy, "logarithmic", {"beta": 2.0}) + response_family(transitions, "michaelis_menten", {"vmax": 1.0, "km": 0.35}) + response_family(1.0 - repeats, "power", {"alpha": 0.6}) ) * PHI_GAIN gate = overflow_gate(information_load, capacity_threshold, gamma=1.25, thermal_scale=0.9) overflow = max(0.0, information_load - capacity_threshold) h_field = information_load chi_susceptibility = response_family(transitions, "hill", {"k": 0.55, "n": 2.0}) remanence = response_family(repeats, "michaelis_menten", {"vmax": 1.0, "km": 0.08}) coercive_loss = max(0.0, h_field - coercive_threshold) magnetization = sigmoid( (chi_susceptibility * h_field + remanence - 0.5 * coercive_loss) * gate ) heat_loss = overflow * (1.0 - gate) domain_wall_pressure = abs(transitions - repeats) * PHI_GAIN return { "chunk_index": index, "bytes": len(chunk), "sha256": sha256_bytes(chunk), "features": { "entropy_bits_per_byte": entropy_bits, "normalized_entropy": normalized_entropy, "transition_rate": transitions, "repetition_rate_4gram": repeats, "printable_ratio": printable, }, "magnetic_domain": { "information_load": information_load, "overflow_gate": gate, "overflow": overflow, "H_field": h_field, "chi_susceptibility": chi_susceptibility, "remanence": remanence, "coercive_loss": coercive_loss, "domain_wall_pressure": domain_wall_pressure, "magnetization_M": magnetization, "heat_loss": heat_loss, }, "equation_instance": ( "M_i = sigmoid(((chi_i * H_i) + R_i - 0.5 * C_loss_i) * G_over_i); " "H_i = L_info_i; " "L_info_i = phi^D_f * (log(1+2H_entropy_i) + MM(T_i;1,0.35) + P(1-R4_i;0.6))" ), "status": "overflow" if overflow > 0 else "within_capacity", } def aggregate(chunks: Iterable[dict[str, Any]]) -> dict[str, Any]: rows = list(chunks) if not rows: return {} fields = [ "information_load", "overflow_gate", "overflow", "H_field", "chi_susceptibility", "remanence", "coercive_loss", "domain_wall_pressure", "magnetization_M", "heat_loss", ] out: dict[str, Any] = {"chunk_count": len(rows)} for field in fields: values = [float(r["magnetic_domain"][field]) for r in rows] out[field] = { "min": min(values), "max": max(values), "mean": sum(values) / len(values), } out["overflow_chunk_count"] = sum(1 for r in rows if r["status"] == "overflow") out["within_capacity_chunk_count"] = len(rows) - out["overflow_chunk_count"] return out def threshold_sweep( projections: list[dict[str, Any]], thresholds: list[float], thermal_scale: float = 0.9 ) -> list[dict[str, Any]]: rows: list[dict[str, Any]] = [] loads = [float(row["magnetic_domain"]["information_load"]) for row in projections] for threshold in thresholds: gates = [overflow_gate(load, threshold, gamma=1.25, thermal_scale=thermal_scale) for load in loads] overflows = [max(0.0, load - threshold) for load in loads] heat = [overflow * (1.0 - gate) for overflow, gate in zip(overflows, gates)] rows.append( { "capacity_threshold": threshold, "overflow_chunk_count": sum(1 for value in overflows if value > 0), "mean_overflow": sum(overflows) / len(overflows) if overflows else 0.0, "mean_overflow_gate": sum(gates) / len(gates) if gates else 1.0, "mean_heat_loss": sum(heat) / len(heat) if heat else 0.0, } ) return rows def build_receipt(args: argparse.Namespace) -> dict[str, Any]: source_path = Path(args.input).expanduser().resolve() if args.input else None data, source = read_source(source_path, args.slice_bytes) chunks = chunk_bytes(data, args.chunk_size, args.max_chunks) projections = [ magnetic_domain_projection(c, i, args.capacity_threshold, args.coercive_threshold) for i, c in enumerate(chunks) ] receipt: dict[str, Any] = { "schema": "transfold_enwiki8_magnetic_domain_generator_v1", "runner": rel(Path(__file__).resolve()), "purpose": ( "Stress-test the transfold adaptation framework by converting a byte " "slice into magnetic-domain equation instances with response-family " "selection and threshold overflow." ), "source": source, "parameters": { "slice_bytes_requested": args.slice_bytes, "chunk_size": args.chunk_size, "max_chunks": args.max_chunks, "capacity_threshold": args.capacity_threshold, "coercive_threshold": args.coercive_threshold, "D_f": D_F, "lambda_phi": PHI, "phi_gain": PHI_GAIN, }, "transfold_map": { "source_domain": "byte_stream_signal", "target_domain": "magnetic_domain_equation", "field_mapping": { "entropy": "field demand / information pressure", "byte_transition_rate": "domain agitation / susceptibility driver", "repeated_4grams": "remanence / memory channel", "capacity_overflow": "hysteresis heat-loss channel", }, "core_equations": { "signal_load": ( "L_info_i = phi^D_f * (log(1 + 2 h_i) + MM(t_i;1,0.35) + " "(1 - r_i)^0.6)" ), "overflow_gate": ( "G_over_i = 1 if L_info_i <= L_threshold else " "exp(-1.25 * (L_info_i - L_threshold) / 0.9)" ), "magnetic_projection": ( "M_i = sigmoid(((chi_i H_i) + R_i - 0.5 C_loss_i) * G_over_i)" ), "heat_loss": "Q_i = max(0, L_info_i - L_threshold) * (1 - G_over_i)", }, }, "chunk_projections": projections, "aggregate": aggregate(projections), "stress_sweep": threshold_sweep( projections, [ max(0.0, args.capacity_threshold - 0.75), args.capacity_threshold, args.capacity_threshold + 0.75, args.capacity_threshold + 1.25, args.capacity_threshold + 2.0, ], ), "claim_boundary": ( "This receipt maps byte-signal statistics into a magnetic-domain analogue. " "It is a stress-test and routing prior, not a claim that text data is a " "literal magnetic material." ), } receipt["receipt_hash"] = sha256_bytes(stable_json(receipt).encode("utf-8")) return receipt def write_curriculum(receipt: dict[str, Any]) -> None: rows = [ { "task": "transfold_byte_signal_to_magnetic_domain", "input": "enwiki8 byte chunk statistics", "target": "H, chi, remanence, magnetization, overflow, heat_loss", }, { "task": "detect_capacity_overflow", "input": "information_load and capacity_threshold", "target": "overflow_gate plus hysteresis heat-loss channel", }, { "task": "preserve_claim_boundary", "input": receipt["source"]["source_mode"], "target": receipt["claim_boundary"], }, ] CURRICULUM.write_text( "".join(json.dumps(row, sort_keys=True) + "\n" for row in rows), encoding="utf-8", ) def parse_args() -> argparse.Namespace: parser = argparse.ArgumentParser(description=__doc__) parser.add_argument("--input", help="Path to enwiki8 or another byte corpus slice.") parser.add_argument("--slice-bytes", type=int, default=65536) parser.add_argument("--chunk-size", type=int, default=4096) parser.add_argument("--max-chunks", type=int, default=16) parser.add_argument("--capacity-threshold", type=float, default=3.25) parser.add_argument("--coercive-threshold", type=float, default=2.6) parser.add_argument("--out", type=Path, default=OUT) return parser.parse_args() def main() -> None: args = parse_args() receipt = build_receipt(args) args.out.write_text(json.dumps(receipt, indent=2, sort_keys=True) + "\n", encoding="utf-8") write_curriculum(receipt) print( json.dumps( { "receipt": rel(args.out), "curriculum": rel(CURRICULUM), "receipt_hash": receipt["receipt_hash"], "source_mode": receipt["source"]["source_mode"], "chunk_count": receipt["aggregate"]["chunk_count"], "overflow_chunk_count": receipt["aggregate"]["overflow_chunk_count"], "mean_magnetization": receipt["aggregate"]["magnetization_M"]["mean"], "mean_heat_loss": receipt["aggregate"]["heat_loss"]["mean"], }, indent=2, sort_keys=True, ) ) if __name__ == "__main__": main()