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3060e37 verified | import argparse | |
| # ============================================================================== | |
| # COPY OF THE ACTUAL RANGE CODER CODEBASE (test_semantic_vocab_range_coder.py) | |
| # ============================================================================== | |
| class PythonRadicalPredictor: | |
| def __init__(self, alpha=1, weight=128): | |
| self.alpha = alpha | |
| self.weight = weight | |
| self.trans_rc = {} | |
| self.trans_rf = {} | |
| self.trans_ra = {} | |
| self.prev_rc = 0 | |
| self.prev_rf = 0 | |
| self.prev_ra = 0 | |
| def observe(self, rc, rf, ra): | |
| key_rc = self.prev_rc | |
| if key_rc not in self.trans_rc: | |
| self.trans_rc[key_rc] = {} | |
| self.trans_rc[key_rc][rc] = self.trans_rc[key_rc].get(rc, 0) + self.weight | |
| key_rf = (rc << 8) | self.prev_rf | |
| if key_rf not in self.trans_rf: | |
| self.trans_rf[key_rf] = {} | |
| self.trans_rf[key_rf][rf] = self.trans_rf[key_rf].get(rf, 0) + self.weight | |
| key_ra = (rc << 16) | (rf << 8) | self.prev_ra | |
| if key_ra not in self.trans_ra: | |
| self.trans_ra[key_ra] = {} | |
| self.trans_ra[key_ra][ra] = self.trans_ra[key_ra].get(ra, 0) + self.weight | |
| self.prev_rc = rc | |
| self.prev_rf = rf | |
| self.prev_ra = ra | |
| def get_cum_freqs_rc(self, prev_rc): | |
| freqs = [self.alpha] * 256 | |
| if prev_rc in self.trans_rc: | |
| for sym, count in self.trans_rc[prev_rc].items(): | |
| freqs[sym] += count | |
| cum_freqs = [0] * 257 | |
| for i in range(256): | |
| cum_freqs[i+1] = cum_freqs[i] + freqs[i] | |
| return cum_freqs | |
| def get_cum_freqs_rf(self, curr_rc, prev_rf): | |
| freqs = [self.alpha] * 256 | |
| key = (curr_rc << 8) | prev_rf | |
| if key in self.trans_rf: | |
| for sym, count in self.trans_rf[key].items(): | |
| freqs[sym] += count | |
| cum_freqs = [0] * 257 | |
| for i in range(256): | |
| cum_freqs[i+1] = cum_freqs[i] + freqs[i] | |
| return cum_freqs | |
| def get_cum_freqs_ra(self, curr_rc, curr_rf, prev_ra): | |
| freqs = [self.alpha] * 256 | |
| key = (curr_rc << 16) | (curr_rf << 8) | prev_ra | |
| if key in self.trans_ra: | |
| for sym, count in self.trans_ra[key].items(): | |
| freqs[sym] += count | |
| cum_freqs = [0] * 257 | |
| for i in range(256): | |
| cum_freqs[i+1] = cum_freqs[i] + freqs[i] | |
| return cum_freqs | |
| class BitWriter: | |
| def __init__(self): | |
| self.buffer = [] | |
| self.current_byte = 0 | |
| self.bit_count = 0 | |
| def write_bit(self, bit): | |
| self.current_byte = (self.current_byte << 1) | (bit & 1) | |
| self.bit_count += 1 | |
| if self.bit_count % 8 == 0: | |
| self.buffer.append(self.current_byte) | |
| self.current_byte = 0 | |
| def write_bit_helper(self, underflow_bits, bit): | |
| self.write_bit(bit) | |
| for _ in range(underflow_bits[0]): | |
| self.write_bit(1 - bit) | |
| underflow_bits[0] = 0 | |
| def flush(self): | |
| if self.bit_count % 8 != 0: | |
| padding_bits = 8 - (self.bit_count % 8) | |
| self.current_byte <<= padding_bits | |
| self.buffer.append(self.current_byte) | |
| self.current_byte = 0 | |
| self.bit_count += padding_bits | |
| return bytes(self.buffer) | |
| class BitReader: | |
| def __init__(self, data): | |
| self.data = data | |
| self.byte_index = 0 | |
| self.bit_index = 0 | |
| def read_bit(self): | |
| if self.byte_index >= len(self.data): | |
| return 0 | |
| bit = (self.data[self.byte_index] >> (7 - self.bit_index)) & 1 | |
| self.bit_index += 1 | |
| if self.bit_index == 8: | |
| self.bit_index = 0 | |
| self.byte_index += 1 | |
| return bit | |
| def range_encode_radicals(radicals, alpha=1, weight=128): | |
| pred = PythonRadicalPredictor(alpha, weight) | |
| w = BitWriter() | |
| low = 0 | |
| high = 0xFFFFFFFF | |
| underflow_bits = [0] | |
| for rc, rf, ra in radicals: | |
| symbols = [rc, rf, ra] | |
| prev_rc = pred.prev_rc | |
| prev_rf = pred.prev_rf | |
| prev_ra = pred.prev_ra | |
| for step in range(3): | |
| if step == 0: | |
| cum_freqs = pred.get_cum_freqs_rc(prev_rc) | |
| elif step == 1: | |
| cum_freqs = pred.get_cum_freqs_rf(symbols[0], prev_rf) | |
| else: | |
| cum_freqs = pred.get_cum_freqs_ra(symbols[0], symbols[1], prev_ra) | |
| sym = symbols[step] | |
| total = cum_freqs[256] | |
| cum_low = cum_freqs[sym] | |
| cum_high = cum_freqs[sym + 1] | |
| range_width = high - low + 1 | |
| high = low + (range_width * cum_high) // total - 1 | |
| low = low + (range_width * cum_low) // total | |
| while True: | |
| if high < 0x80000000: | |
| w.write_bit_helper(underflow_bits, 0) | |
| low = (low << 1) & 0xFFFFFFFF | |
| high = ((high << 1) | 1) & 0xFFFFFFFF | |
| elif low >= 0x80000000: | |
| w.write_bit_helper(underflow_bits, 1) | |
| low = ((low - 0x80000000) << 1) & 0xFFFFFFFF | |
| high = (((high - 0x80000000) << 1) | 1) & 0xFFFFFFFF | |
| elif low >= 0x40000000 and high < 0xC0000000: | |
| underflow_bits[0] += 1 | |
| low = ((low - 0x40000000) << 1) & 0xFFFFFFFF | |
| high = (((high - 0x40000000) << 1) | 1) & 0xFFFFFFFF | |
| else: | |
| break | |
| pred.observe(rc, rf, ra) | |
| underflow_bits[0] += 1 | |
| if low < 0x40000000: | |
| w.write_bit_helper(underflow_bits, 0) | |
| else: | |
| w.write_bit_helper(underflow_bits, 1) | |
| return w.flush() | |
| def range_decode_radicals(encoded_bytes, num_concepts, alpha=1, weight=128): | |
| pred = PythonRadicalPredictor(alpha, weight) | |
| r = BitReader(encoded_bytes) | |
| value = 0 | |
| for _ in range(32): | |
| value = (value << 1) | r.read_bit() | |
| low = 0 | |
| high = 0xFFFFFFFF | |
| decoded_radicals = [] | |
| for c in range(num_concepts): | |
| prev_rc = pred.prev_rc | |
| prev_rf = pred.prev_rf | |
| prev_ra = pred.prev_ra | |
| symbols = [0, 0, 0] | |
| for step in range(3): | |
| if step == 0: | |
| cum_freqs = pred.get_cum_freqs_rc(prev_rc) | |
| elif step == 1: | |
| cum_freqs = pred.get_cum_freqs_rf(symbols[0], prev_rf) | |
| else: | |
| cum_freqs = pred.get_cum_freqs_ra(symbols[0], symbols[1], prev_ra) | |
| total = cum_freqs[256] | |
| range_width = high - low + 1 | |
| scaled_val = (((value - low) + 1) * total - 1) // range_width | |
| # Binary search | |
| sym = 0 | |
| l = 0 | |
| rr = 255 | |
| while l <= rr: | |
| mid = (l + rr) // 2 | |
| if cum_freqs[mid] <= scaled_val < cum_freqs[mid + 1]: | |
| sym = mid | |
| break | |
| elif scaled_val >= cum_freqs[mid + 1]: | |
| l = mid + 1 | |
| else: | |
| rr = mid - 1 | |
| symbols[step] = sym | |
| cum_low = cum_freqs[sym] | |
| cum_high = cum_freqs[sym + 1] | |
| high = low + (range_width * cum_high) // total - 1 | |
| low = low + (range_width * cum_low) // total | |
| while True: | |
| if high < 0x80000000: | |
| low = (low << 1) & 0xFFFFFFFF | |
| high = ((high << 1) | 1) & 0xFFFFFFFF | |
| value = ((value << 1) | r.read_bit()) & 0xFFFFFFFF | |
| elif low >= 0x80000000: | |
| low = ((low - 0x80000000) << 1) & 0xFFFFFFFF | |
| high = (((high - 0x80000000) << 1) | 1) & 0xFFFFFFFF | |
| value = (((value - 0x80000000) << 1) | r.read_bit()) & 0xFFFFFFFF | |
| elif low >= 0x40000000 and high < 0xC0000000: | |
| low = ((low - 0x40000000) << 1) & 0xFFFFFFFF | |
| high = (((high - 0x40000000) << 1) | 1) & 0xFFFFFFFF | |
| value = (((value - 0x40000000) << 1) | r.read_bit()) & 0xFFFFFFFF | |
| else: | |
| break | |
| decoded_radicals.append((symbols[0], symbols[1], symbols[2])) | |
| pred.observe(symbols[0], symbols[1], symbols[2]) | |
| return decoded_radicals | |
| # ============================================================================== | |
| def run_proof(): | |
| print("======================================================================") | |
| print("ZYMATICA | LLD-AC Range Coder: Actual Codebase Implementation Proof") | |
| print("======================================================================\n") | |
| # Sample sequence of radicals: (R_C, R_F, R_A) | |
| # Replicates typical repetitive/structured state packets | |
| input_radicals = [ | |
| (0x12, 0x01, 0x80), | |
| (0x12, 0x01, 0x80), | |
| (0x11, 0x00, 0xA0), | |
| (0x11, 0x00, 0xA0), | |
| (0x11, 0x00, 0xA0), | |
| (0x21, 0x01, 0xA0), | |
| (0x22, 0x02, 0xF0), | |
| (0x22, 0x02, 0xF0) | |
| ] | |
| print("[1] Original Radical Sequence (3 Bytes per concept):") | |
| for idx, rad in enumerate(input_radicals): | |
| print(f" Concept {idx+1}: RC=0x{rad[0]:02X}, RF=0x{rad[1]:02X}, RA=0x{rad[2]:02X}") | |
| uncompressed_bytes = len(input_radicals) * 3 | |
| print(f" -> Total Uncompressed Size: {uncompressed_bytes} bytes") | |
| print("\n[2] Executing Range Encoder...") | |
| compressed_bytes = range_encode_radicals(input_radicals, alpha=1, weight=128) | |
| compressed_len = len(compressed_bytes) | |
| print(f" -> Compressed Size: {compressed_len} bytes") | |
| print(f" -> Binary Stream (Hex): {compressed_bytes.hex().upper()}") | |
| print("\n[3] Executing Lossless Decoder...") | |
| decoded_radicals = range_decode_radicals(compressed_bytes, len(input_radicals), alpha=1, weight=128) | |
| # Validation check | |
| assert input_radicals == decoded_radicals, "Validation failed! Decoded sequence does not match original." | |
| print(" -> Lossless verification passed. Decoded sequence is identical.") | |
| compression_ratio = uncompressed_bytes / compressed_len | |
| savings = (1 - (compressed_len / uncompressed_bytes)) * 100 | |
| print("\n[4] Summary Metrics:") | |
| print(f" - Uncompressed: {uncompressed_bytes} bytes") | |
| print(f" - Compressed: {compressed_len} bytes") | |
| print(f" - Space Savings: {savings:.2f}%") | |
| print(f" - Compression Ratio: {compression_ratio:.2f}x") | |
| print("\n[VERIFICATION] LLD-AC range coder verified from actual codebase.") | |
| if __name__ == "__main__": | |
| parser = argparse.ArgumentParser(description="Zymatica LLD-AC Range Coder Proof") | |
| parser.add_argument("--test", action="store_true", help="Run test mode") | |
| args = parser.parse_args() | |
| run_proof() | |