# ═══════════════════════════════════════════════════════════════════════════════ # PIST Biological Polymorphic Shifter v3.0 — PART 4 # ─────────────────────────────────────────────────────────────────────────────── # Shifters 25–27: miRNA, STDP, Spiegelmer # Optimizer: BiologicalManifoldOptimizer (genetic search) # Compressor: BiologicalPolymorphicCompressor (unified API) # Demo: demonstrate() — test all data types and shifter chains # ═══════════════════════════════════════════════════════════════════════════════ import hashlib import math import random import struct from collections import Counter, defaultdict from copy import deepcopy from heapq import heappush, heappop from pist_biological_polymorphic_shifter_v3 import ( Shifter, ManifoldState, NExponent, intrinsic_load, pist_encode, pist_decode, pist_mass, pist_mirror, pist_normalized_tension, pist_phase_str, PHI ) # ═══════════════════════════════════════════════════════════════════════════════ # SHIFTER 25: miRNA (MicroRNA — post-transcriptional regulation) # ─────────────────────────────────────────────────────────────────────────────── # miRNA silences genes by binding to complementary mRNA. # Analogy: low-frequency bytes are "silenced" (removed or marked), # while high-frequency bytes are "expressed" (retained). # ═══════════════════════════════════════════════════════════════════════════════ class miRNA_Shifter(Shifter): name = "miRNA" @classmethod def encode(cls, state: ManifoldState) -> ManifoldState: """Apply miRNA-like regulation: silence low-frequency bytes. Bytes below a frequency threshold are "silenced" (replaced with a marker). The miRNA seed region is the frequency distribution. Only "expressed" bytes survive at full fidelity. """ data = state.encoded if not data: new_state = deepcopy(state) new_state.update_encoded(b'', cls.name) return new_state freq = Counter(data) total = len(data) threshold = max(1, total // 16) # silence bytes appearing < 6.25% result = bytearray() silent_map = bytearray() for b in data: if freq[b] >= threshold: result.append(b) # expressed else: result.append(0xFB) # silenced marker silent_map.append(b) # store for recovery # Store silent bytes as compressed tail new_state = deepcopy(state) new_state.update_encoded(bytes(result), cls.name) new_state.metadata['mirna_threshold'] = threshold new_state.metadata['mirna_silent'] = bytes(silent_map) new_state.metadata['mirna_freq'] = dict(freq.most_common(16)) return new_state @classmethod def decode(cls, state: ManifoldState) -> ManifoldState: """Restore silenced bytes from stored map.""" data = state.encoded silent_bytes = state.metadata.get('mirna_silent', b'') result = bytearray() si = 0 for b in data: if b == 0xFB and si < len(silent_bytes): result.append(silent_bytes[si]) si += 1 else: result.append(b) new_state = deepcopy(state) new_state.update_encoded(bytes(result), f"decode_{cls.name}") return new_state # ═══════════════════════════════════════════════════════════════════════════════ # SHIFTER 26: STDP (Spike-Timing-Dependent Plasticity) # ─────────────────────────────────────────────────────────────────────────────── # STDP: if pre-synaptic spike precedes post-synaptic spike → strengthen. # If pre follows post → weaken. Long-term potentiation/depression. # Analogy: byte pairs that appear in a "causal" order (frequent adjacent pairs) # get strengthened (merged). Rare transitions get weakened (split). # ═══════════════════════════════════════════════════════════════════════════════ class STDPShifter(Shifter): name = "STDP" @classmethod def encode(cls, state: ManifoldState) -> ManifoldState: """Apply STDP-like learning to byte transitions. Frequent adjacent byte pairs = "strengthened" (merged into single byte). Rare transitions = "weakened" (marked for splitting). """ data = state.encoded if not data: new_state = deepcopy(state) new_state.update_encoded(b'', cls.name) return new_state # Count adjacent byte pairs pairs = Counter() for i in range(len(data) - 1): pair = (data[i], data[i + 1]) pairs[pair] += 1 total_pairs = sum(pairs.values()) if total_pairs == 0: new_state = deepcopy(state) new_state.update_encoded(b'', cls.name) return new_state # Merge frequent pairs above threshold threshold = max(2, total_pairs // 64) merge_map = {} next_code = 128 # use upper half for merged codes for pair, count in pairs.most_common(): if count < threshold or next_code >= 256: break merge_map[pair] = next_code next_code += 1 # Apply STDP merging result = bytearray() i = 0 while i < len(data): if i + 1 < len(data): pair = (data[i], data[i + 1]) if pair in merge_map: result.append(merge_map[pair]) i += 2 continue result.append(data[i]) i += 1 # Store inverse mapping inv_merge = {} for pair, code in merge_map.items(): inv_merge[code] = pair new_state = deepcopy(state) new_state.update_encoded(bytes(result), cls.name) new_state.metadata['stdp_merge'] = inv_merge new_state.metadata['stdp_threshold'] = threshold new_state.metadata['stdp_merged_pairs'] = len(merge_map) return new_state @classmethod def decode(cls, state: ManifoldState) -> ManifoldState: """Expand STDP merged pairs back to original bytes.""" data = state.encoded inv_merge = state.metadata.get('stdp_merge', {}) result = bytearray() for b in data: if b in inv_merge: pair = inv_merge[b] result.append(pair[0]) result.append(pair[1]) else: result.append(b) new_state = deepcopy(state) new_state.update_encoded(bytes(result), f"decode_{cls.name}") return new_state # ═══════════════════════════════════════════════════════════════════════════════ # SHIFTER 27: SPIEGELMER (L-DNA mirror image) # ─────────────────────────────────────────────────────────────────────────────── # Spiegelmers are L-DNA mirror images of natural D-DNA. # They are completely nuclease-resistant because no natural enzyme # can recognize the mirror-image backbone. # Analogy: apply a byte-wise mirror transformation that is # "invisible" to standard decoding algorithms. # ═══════════════════════════════════════════════════════════════════════════════ class SpiegelmerShifter(Shifter): name = "Spiegelmer" @classmethod def encode(cls, state: ManifoldState) -> ManifoldState: """Apply Spiegelmer mirror transformation. Map each byte to its bit-reversed mirror (mirror image). L-DNA = D-DNA reflected in mirror. """ data = state.encoded result = bytearray() for b in data: # Bit reversal rev = int(format(b, '08b')[::-1], 2) result.append(rev) new_state = deepcopy(state) new_state.update_encoded(bytes(result), cls.name) return new_state @classmethod def decode(cls, state: ManifoldState) -> ManifoldState: """Reverse Spiegelmer (bit reversal is self-inverse).""" # Same as encode (bit reversal is an involution) return cls.encode(state) # ═══════════════════════════════════════════════════════════════════════════════ # BIOLOGICAL MANIFOLD OPTIMIZER # ─────────────────────────────────────────────────────────────────────────────── # Genetic algorithm that searches the space of ALL possible shifter chains # to find the optimal combination for a given input. # # ANY combination with ANY combination is allowed. # The optimizer uses: # - Beam search: keep top-K chains at each step # - Fitness: compression_ratio × computational_efficiency × stability # - Crossover: combine best chains # - Mutation: add/remove/reorder shifters # ═══════════════════════════════════════════════════════════════════════════════ class BiologicalManifoldOptimizer: """Searches for optimal shifter chains using beam search + evolution.""" # All available shifters for the optimizer ALL_SHIFTERS = [ # Synthetic DNA 'Hachimoji', 'AEGIS', 'NaturalDNA', # RNA Processing 'Transcription', 'Translation', 'Splicing', 'miRNA', # Backbone XNAs 'PNA', 'LNA', 'Morpholino', 'Spiegelmer', # Prion/Epigenetic 'Prion', # Neuronal 'SpikeTiming', 'STDP', # Mycelial 'HyphalNet', # Chaotic/Galois 'LogisticMap', 'GaloisRing', 'SBox', 'CellularAutomata', # PIST Geometry 'PIST', 'PISTMirror', 'PISTResonance', # Arithmetic 'DeltaGCL', 'RunLength', 'Huffman', # Stochastic Engine 'DeterministicStochastic', # Cellular Automata variants 'Wireworld', ] SHIFTER_CLASSES = { 'Hachimoji': 'HachimojiShifter', 'AEGIS': 'AEGISShifter', 'NaturalDNA': 'NaturalDNAShifter', 'Transcription': 'TranscriptionShifter', 'Translation': 'TranslationShifter', 'Splicing': 'SplicingShifter', 'miRNA': 'miRNA_Shifter', 'PNA': 'PNAShifter', 'LNA': 'LNAShifter', 'Morpholino': 'MorpholinoShifter', 'Spiegelmer': 'SpiegelmerShifter', 'Prion': 'PrionShifter', 'SpikeTiming': 'SpikeTimingShifter', 'STDP': 'STDPShifter', 'HyphalNet': 'HyphalNetShifter', 'LogisticMap': 'LogisticMapShifter', 'GaloisRing': 'GaloisRingShifter', 'SBox': 'SBoxShifter', 'CellularAutomata': 'CellularAutomataShifter', 'Wireworld': 'WireworldShifter', 'PIST': 'PISTShifter', 'PISTMirror': 'PISTMirrorShifter', 'PISTResonance': 'PISTResonanceShifter', 'DeltaGCL': 'DeltaGCLShifter', 'RunLength': 'RunLengthShifter', 'Huffman': 'HuffmanShifter', 'DeterministicStochastic': 'DeterministicStochasticEngine', } def __init__(self, max_chain_length: int = 6, beam_width: int = 8): self.max_chain_length = max_chain_length self.beam_width = beam_width self._imported = False def _import_shifters(self): """Lazy import of all shifter classes.""" if self._imported: return from pist_biological_polymorphic_shifter_v3 import ( HachimojiShifter, AEGISShifter, NaturalDNAShifter, TranscriptionShifter, TranslationShifter, SplicingShifter, PNAShifter, LNAShifter, PrionShifter) from pist_biological_polymorphic_shifter_v3_part2 import ( SpikeTimingShifter, HyphalNetShifter, LogisticMapShifter, GaloisRingShifter, SBoxShifter, WireworldShifter, MorpholinoShifter, PISTShifter, PISTMirrorShifter, PISTResonanceShifter, DeltaGCLShifter, RunLengthShifter, HuffmanShifter, DeterministicStochasticEngine, CellularAutomataShifter) from pist_biological_polymorphic_shifter_v3_part4 import ( miRNA_Shifter, STDPShifter, SpiegelmerShifter) self._class_map = { 'Hachimoji': HachimojiShifter, 'AEGIS': AEGISShifter, 'NaturalDNA': NaturalDNAShifter, 'Transcription': TranscriptionShifter, 'Translation': TranslationShifter, 'Splicing': SplicingShifter, 'miRNA': miRNA_Shifter, 'PNA': PNAShifter, 'LNA': LNAShifter, 'Morpholino': MorpholinoShifter, 'Spiegelmer': SpiegelmerShifter, 'Prion': PrionShifter, 'SpikeTiming': SpikeTimingShifter, 'STDP': STDPShifter, 'HyphalNet': HyphalNetShifter, 'LogisticMap': LogisticMapShifter, 'GaloisRing': GaloisRingShifter, 'SBox': SBoxShifter, 'CellularAutomata': CellularAutomataShifter, 'Wireworld': WireworldShifter, 'PIST': PISTShifter, 'PISTMirror': PISTMirrorShifter, 'PISTResonance': PISTResonanceShifter, 'DeltaGCL': DeltaGCLShifter, 'RunLength': RunLengthShifter, 'Huffman': HuffmanShifter, 'DeterministicStochastic': DeterministicStochasticEngine, } self._imported = True def _get_shifter_class(self, name: str): """Get shifter class by name.""" self._import_shifters() return self._class_map.get(name) def _evaluate_chain(self, data: bytes, chain: list) -> dict: """Evaluate a shifter chain on data. Returns fitness and encoded state.""" state = ManifoldState(data) for shifter_name in chain: shifter_cls = self._get_shifter_class(shifter_name) if shifter_cls is None: continue try: state = shifter_cls.encode(state) except Exception as e: # Shifter failed — return zero fitness return { 'fitness': 0.0, 'ratio': 0.0, 'entropy': 99.0, 'state': state, 'chain': chain, } fitness = state.compute_fitness() ratio = len(data) / max(1, len(state.encoded)) return { 'fitness': fitness, 'ratio': ratio, 'entropy': state.entropy, 'state': state, 'chain': chain, } def optimize(self, data: bytes, max_steps: int = 20) -> dict: """Beam search for optimal shifter chain. Returns best chain and its evaluation. """ if not data: return {'chain': [], 'fitness': 0.0, 'ratio': 1.0} # Initialize with single-shifter chains candidates = [] for name in self.ALL_SHIFTERS: result = self._evaluate_chain(data, [name]) heappush(candidates, (-result['fitness'], result)) # Best overall _, best = candidates[0] # Expand for step in range(max_steps): new_candidates = list(candidates) # Expand top-K candidates top_k = [] for _ in range(min(self.beam_width, len(candidates))): _, result = heappop(candidates) top_k.append(result) for result in top_k: current_chain = result['chain'] current_state = result['state'] if len(current_chain) >= self.max_chain_length: continue # Try adding each shifter for name in self.ALL_SHIFTERS: if name in current_chain: continue # avoid immediate repeat new_chain = current_chain + [name] new_result = self._evaluate_chain(data, new_chain) heappush(new_candidates, (-new_result['fitness'], new_result)) # Prune to beam_width candidates = [] for _ in range(min(self.beam_width * 4, len(new_candidates))): candidates.append(heappop(new_candidates)) # Check best neg_fit, best_candidate = candidates[0] if best_candidate['fitness'] > best['fitness']: best = best_candidate # Early stop if no improvement if step > 2 and best['fitness'] == candidates[0][1]['fitness']: break return best # ═══════════════════════════════════════════════════════════════════════════════ # BIOLOGICAL POLYMORPHIC COMPRESSOR # ─────────────────────────────────────────────────────────────────────────────── # Unified API for the polymorphic shifter system. # Handles: auto-optimize, encode, decode, verify. # ═══════════════════════════════════════════════════════════════════════════════ class BiologicalPolymorphicCompressor: """Main compression interface. Uses manifold of shifters.""" def __init__(self, max_chain_length: int = 5, beam_width: int = 6): self.max_chain_length = max_chain_length self.beam_width = beam_width self.optimizer = BiologicalManifoldOptimizer( max_chain_length=max_chain_length, beam_width=beam_width ) self._current_best = None def auto_optimize(self, data: bytes, max_steps: int = 15) -> dict: """Automatically find best shifter chain for this data.""" result = self.optimizer.optimize(data, max_steps=max_steps) self._current_best = result return result def compress(self, data: bytes, chain: list = None) -> bytes: """Compress data using given chain (or auto-optimized best). Returns: bytes: header + encoded data """ if chain is None: if self._current_best is None: self.auto_optimize(data) chain = self._current_best['chain'] state = self._current_best['state'] else: state = ManifoldState(data) for shifter_name in chain: shifter_cls = self.optimizer._get_shifter_class(shifter_name) if shifter_cls: state = shifter_cls.encode(state) # Build compressed output with header header = bytearray() header.append(len(chain)) # chain length for name in chain: name_bytes = name.encode('ascii')[:20] header.append(len(name_bytes)) header.extend(name_bytes) # Separator header.append(0x00) compressed = bytes(header) + state.encoded self._current_best = { 'chain': chain, 'state': state, 'ratio': len(data) / max(1, len(compressed)), 'fitness': state.compute_fitness(), } return compressed def decompress(self, compressed: bytes) -> bytes: """Decompress by parsing header and reversing shifter chain. Returns: bytes: original decompressed data """ if not compressed: return b'' # Parse header ptr = 0 chain_len = compressed[ptr]; ptr += 1 chain = [] for _ in range(chain_len): if ptr >= len(compressed): break name_len = compressed[ptr]; ptr += 1 if ptr + name_len > len(compressed): break name = compressed[ptr:ptr+name_len].decode('ascii', errors='replace') ptr += name_len chain.append(name) # Skip separator if ptr < len(compressed) and compressed[ptr] == 0x00: ptr += 1 encoded_data = compressed[ptr:] # Decode in reverse state = ManifoldState(encoded_data) state.encoded = encoded_data for shifter_name in reversed(chain): shifter_cls = self.optimizer._get_shifter_class(shifter_name) if shifter_cls: try: state = shifter_cls.decode(state) except Exception as e: print(f" [WARN] Decode failed for {shifter_name}: {e}") break return state.encoded def verify(self, data: bytes, chain: list = None) -> dict: """Compress then decompress, check lossless.""" compressed = self.compress(data, chain) decompressed = self.decompress(compressed) lossless = data == decompressed ratio = len(data) / max(1, len(compressed)) entropy = intrinsic_load(compressed) if self._current_best: fitness = self._current_best.get('fitness', 0.0) else: fitness = 0.0 return { 'lossless': lossless, 'ratio': ratio, 'entropy': entropy, 'fitness': fitness, 'original_size': len(data), 'compressed_size': len(compressed), 'chain': chain or (self._current_best.get('chain', []) if self._current_best else []), } def analyze(self, data: bytes) -> dict: """Analyze data properties for shifter selection.""" if not data: return {} freq = Counter(data) entropy = intrinsic_load(data) # PIST profile shells = Counter() tensions = [] masses = [] for b in data: k, t = pist_encode(b) shells[k] += 1 tensions.append(pist_normalized_tension(k, t)) masses.append(pist_mass(k, t)) avg_tension = sum(tensions) / len(tensions) if tensions else 0 avg_mass = sum(masses) / len(masses) if masses else 0 grounded = sum(1 for m in masses if m == 0) seismic = len(masses) - grounded # Frequency analysis top_bytes = [b for b, _ in freq.most_common(8)] unique_count = len(freq) return { 'entropy': entropy, 'size': len(data), 'unique_bytes': unique_count, 'avg_tension': avg_tension, 'avg_mass': avg_mass, 'grounded_pct': (grounded / max(1, len(data))) * 100, 'seismic_pct': (seismic / max(1, len(data))) * 100, 'top_bytes': top_bytes, 'recommended_chain': self._recommend_chain(entropy, avg_tension, unique_count), } def _recommend_chain(self, entropy: float, tension: float, unique: int) -> list: """Heuristic chain recommendation based on data profile.""" chain = [] if entropy < 3.0: # Low entropy = repetitive → RLE + Delta + Mirror chain.extend(['RunLength', 'DeltaGCL', 'PISTMirror']) elif entropy < 5.0: # Medium entropy = structured → Huffman + STDP + Galois chain.extend(['Huffman', 'STDP', 'GaloisRing']) else: # High entropy = random-like → DSE + SBox + PISTResonance chain.extend(['DeterministicStochastic', 'SBox', 'PISTResonance']) # Add tension-dependent shifters if tension > 0.3: chain.append('SpikeTiming') else: chain.append('Morpholino') # Limit return chain[:self.max_chain_length] # ═══════════════════════════════════════════════════════════════════════════════ # DEMONSTRATION # ═══════════════════════════════════════════════════════════════════════════════ def print_header(title: str): """Print a styled section header.""" width = 72 print() print("╔" + "═" * width + "╗") print("║ " + title.ljust(width - 2) + " ║") print("╚" + "═" * width + "╝") def demonstrate(): """Run full demonstration of all shifters.""" print_header("PIST BIOLOGICAL POLYMORPHIC SHIFTER v3.0") print("Hyperdimensional manifold compressor with 27+ encoding shifters") print() # ── Test Data ── test_sets = { "Short English": b"Hello World! This is a test of the biological polymorphic shifter system.", "Repeating": b"AAAAABBBBBCCCCCDDDDDEEEEE" * 10, "Binary": bytes(range(256)) * 4, "Mixed": b"The quick brown fox jumps over the lazy dog. " * 5 + bytes([0xFF, 0x00, 0xAA, 0x55]) * 10, "All Zeros": b"\x00" * 256, "Incrementing": bytes(range(256)), } compressor = BiologicalPolymorphicCompressor(max_chain_length=4, beam_width=4) total_original = 0 total_compressed = 0 for name, data in test_sets.items(): print_header(f"TEST: {name} ({len(data)} bytes)") # 1. Analyze analysis = compressor.analyze(data) print(f" Entropy: {analysis['entropy']:.2f} bits/byte") print(f" Unique bytes: {analysis['unique_bytes']}") print(f" Avg tension: {analysis['avg_tension']:.3f}") print(f" Grounded: {analysis['grounded_pct']:.1f}%") print(f" Seismic: {analysis['seismic_pct']:.1f}%") print(f" Recommended: {analysis['recommended_chain']}") # 2. Auto-optimize print(f"\n ▶ Optimizing...") best = compressor.auto_optimize(data, max_steps=8) print(f" Best chain: {best['chain']}") print(f" Fitness: {best['fitness']:.4f}") print(f" Ratio: {best['ratio']:.4f}x") # 3. Compress + verify result = compressor.verify(data, best['chain']) print(f"\n ▶ Compress/Decompress:") print(f" Size: {result['original_size']} → {result['compressed_size']} bytes") print(f" Ratio: {result['ratio']:.3f}x") print(f" Entropy: {result['entropy']:.2f} bpb") print(f" Lossless: {'✅' if result['lossless'] else '❌'}") print(f" Chain used: {result['chain']}") total_original += result['original_size'] total_compressed += result['compressed_size'] # ── Summary ── print_header("OVERALL SUMMARY") print(f" Total original: {total_original} bytes") print(f" Total compressed: {total_compressed} bytes") print(f" Overall ratio: {total_original / max(1, total_compressed):.3f}x") print(f" Space saved: {(1 - total_compressed / max(1, total_original)) * 100:.1f}%") print() # ── Exhaustive Chain Test ── print_header("EXHAUSTIVE: ALL SINGLE-SHIFTER CHAINS") print("Testing every shifter individually on 'Mixed' data...\n") mixed_data = b"The quick brown fox jumps over the lazy dog. " * 5 results = [] for name in compressor.optimizer.ALL_SHIFTERS: try: r = compressor.verify(mixed_data, [name]) results.append((name, r['ratio'], r['lossless'], r['entropy'])) except Exception as e: results.append((name, 0.0, False, 99.0)) # Sort by ratio results.sort(key=lambda x: -x[1]) print(f" {'Shifter':<22} {'Ratio':>8} {'Lossless':>10} {'Entropy':>8}") print(f" {'-'*22} {'-'*8} {'-'*10} {'-'*8}") for name, ratio, lossless, entropy in results: ll = '✅' if lossless else '❌' if ratio > 0: print(f" {name:<22} {ratio:>7.2f}x {ll:>10} {entropy:>7.2f}") # ── Best Chains ── print_header("TOP 10 SHIFTER CHAINS (Beam Search)") print("Testing multi-shifter chains on 'Mixed' data...\n") optimizer = BiologicalManifoldOptimizer(max_chain_length=3, beam_width=6) best_result = optimizer.optimize(mixed_data, max_steps=10) print(f" Best chain: {best_result['chain']}") print(f" Fitness: {best_result['fitness']:.4f}") print(f" Ratio: {best_result['ratio']:.3f}x") print(f" Entropy: {best_result['entropy']:.2f} bpb") # Extract top chains from beam search candidates print(f"\n Top configurations explored:") for neg_fit, candidate in optimizer.optimize.candidates[:10]: if isinstance(candidate, dict) and 'chain' in candidate: print(f" - {candidate['chain']}: ratio={candidate.get('ratio', 0):.3f}x, " f"fitness={candidate.get('fitness', 0):.3f}") print() print_header("DONE") print("Biological Polymorphic Shifter v3.0 demonstration complete.") print("ANY shifter with ANY shifter — the manifold is your substrate.") print() # ═══════════════════════════════════════════════════════════════════════════════ # MAIN # ═══════════════════════════════════════════════════════════════════════════════ if __name__ == '__main__': demonstrate()