crc32.cc

// //////////////////////////////////////////////////////////
// Crc32.cpp
// Copyright (c) 2011-2019 Stephan Brumme. All rights reserved.
// Slicing-by-16 contributed by Bulat Ziganshin
// Tableless bytewise CRC contributed by Hagai Gold
// see http://create.stephan-brumme.com/disclaimer.html
//

// if running on an embedded system, you might consider shrinking the
// big Crc32Lookup table:
// - crc32_bitwise  doesn't need it at all
// - crc32_halfbyte has its own small lookup table
// - crc32_1byte    needs only Crc32Lookup[0]
// - crc32_4bytes   needs only Crc32Lookup[0..3]
// - crc32_8bytes   needs only Crc32Lookup[0..7]
// - crc32_4x8bytes needs only Crc32Lookup[0..7]
// - crc32_16bytes  needs all of Crc32Lookup


#include "crc32.h"

#ifndef __LITTLE_ENDIAN
  #define __LITTLE_ENDIAN 1234
#endif
#ifndef __BIG_ENDIAN
  #define __BIG_ENDIAN    4321
#endif

// define endianess and some integer data types
#if defined(_MSC_VER) || defined(__MINGW32__)
  // Windows always little endian
  #define __BYTE_ORDER __LITTLE_ENDIAN

  // intrinsics / prefetching
  #if defined(__MINGW32__) || defined(__clang__)
    #define PREFETCH(location) __builtin_prefetch(location)
  #else
    #if defined(__SSE2__)
      #include <xmmintrin.h>
      #define PREFETCH(location) _mm_prefetch(location, _MM_HINT_T0)
    #else
      #define PREFETCH(location) ;
    #endif
  #endif
#else
  // defines __BYTE_ORDER as __LITTLE_ENDIAN or __BIG_ENDIAN
  #include <sys/param.h>

  // intrinsics / prefetching
  #ifdef __GNUC__
    #define PREFETCH(location) __builtin_prefetch(location)
  #else
    // no prefetching
    #define PREFETCH(location) ;
  #endif
#endif

#if !defined(__BYTE_ORDER) && defined(__APPLE__)
    #define __BYTE_ORDER __LITTLE_ENDIAN
#endif

// abort if byte order is undefined
#if !defined(__BYTE_ORDER)
#error undefined byte order, compile with -D__BYTE_ORDER=1234 (if little endian) or -D__BYTE_ORDER=4321 (big endian)
#endif


namespace
{
  /// zlib's CRC32 polynomial
  const uint32_t Polynomial = 0xEDB88320;

#if __BYTE_ORDER == __BIG_ENDIAN
  /// swap endianess
  static inline uint32_t swap(uint32_t x)
  {
  #if defined(__GNUC__) || defined(__clang__)
    return __builtin_bswap32(x);
  #else
    return (x >> 24) |
          ((x >>  8) & 0x0000FF00) |
          ((x <<  8) & 0x00FF0000) |
           (x << 24);
  #endif
  }
#endif

  /// Slicing-By-16
  #ifdef CRC32_USE_LOOKUP_TABLE_SLICING_BY_16
  const size_t MaxSlice = 16;
  #elif defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_8)
  const size_t MaxSlice = 8;
  #elif defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_4)
  const size_t MaxSlice = 4;
  #elif defined(CRC32_USE_LOOKUP_TABLE_BYTE)
  const size_t MaxSlice = 1;
  #else
    #define NO_LUT // don't need Crc32Lookup at all
  #endif

} // anonymous namespace

#ifndef NO_LUT
/// forward declaration, table is at the end of this file
extern const uint32_t Crc32Lookup[MaxSlice][256]; // extern is needed to keep compiler happy
#endif


/// compute CRC32 (bitwise algorithm)
uint32_t crc32_bitwise(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint8_t* current = (const uint8_t*) data;

  while (length-- != 0)
  {
    crc ^= *current++;

    for (int j = 0; j < 8; j++)
    {
      // branch-free
      crc = (crc >> 1) ^ (-int32_t(crc & 1) & Polynomial);

      // branching, much slower:
      //if (crc & 1)
      //  crc = (crc >> 1) ^ Polynomial;
      //else
      //  crc =  crc >> 1;
    }
  }

  return ~crc; // same as crc ^ 0xFFFFFFFF
}


/// compute CRC32 (half-byte algoritm)
uint32_t crc32_halfbyte(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint8_t* current = (const uint8_t*) data;

  /// look-up table for half-byte, same as crc32Lookup[0][16*i]
  static const uint32_t Crc32Lookup16[16] =
  {
    0x00000000,0x1DB71064,0x3B6E20C8,0x26D930AC,0x76DC4190,0x6B6B51F4,0x4DB26158,0x5005713C,
    0xEDB88320,0xF00F9344,0xD6D6A3E8,0xCB61B38C,0x9B64C2B0,0x86D3D2D4,0xA00AE278,0xBDBDF21C
  };

  while (length-- != 0)
  {
    crc = Crc32Lookup16[(crc ^  *current      ) & 0x0F] ^ (crc >> 4);
    crc = Crc32Lookup16[(crc ^ (*current >> 4)) & 0x0F] ^ (crc >> 4);
    current++;
  }

  return ~crc; // same as crc ^ 0xFFFFFFFF
}


#ifdef CRC32_USE_LOOKUP_TABLE_BYTE
/// compute CRC32 (standard algorithm)
uint32_t crc32_1byte(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint8_t* current = (const uint8_t*) data;

  while (length-- != 0)
    crc = (crc >> 8) ^ Crc32Lookup[0][(crc & 0xFF) ^ *current++];

  return ~crc; // same as crc ^ 0xFFFFFFFF
}
#endif


/// compute CRC32 (byte algorithm) without lookup tables
uint32_t crc32_1byte_tableless(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint8_t* current = (const uint8_t*) data;

  while (length-- != 0)
  {
    uint8_t s = uint8_t(crc) ^ *current++;

    // Hagai Gold made me aware of this table-less algorithm and send me code

    // polynomial 0xEDB88320 can be written in binary as 11101101101110001000001100100000b
    // reverse the bits (or just assume bit 0 is the first one)
    // and we have bits set at position 0, 1, 2, 4, 5, 7, 8, 10, 11, 12, 16, 22, 23, 26
    // => those are the shift offsets:
    //crc = (crc >> 8) ^
    //       t ^
    //      (t >>  1) ^ (t >>  2) ^ (t >>  4) ^ (t >>  5) ^  // == y
    //      (t >>  7) ^ (t >>  8) ^ (t >> 10) ^ (t >> 11) ^  // == y >> 6
    //      (t >> 12) ^ (t >> 16) ^                          // == z
    //      (t >> 22) ^ (t >> 26) ^                          // == z >> 10
    //      (t >> 23);

    // the fastest I can come up with:
    uint32_t low = (s ^ (s << 6)) & 0xFF;
    uint32_t a   = (low * ((1 << 23) + (1 << 14) + (1 << 2)));
    crc = (crc >> 8) ^
          (low * ((1 << 24) + (1 << 16) + (1 << 8))) ^
           a ^
          (a >> 1) ^
          (low * ((1 << 20) + (1 << 12)           )) ^
          (low << 19) ^
          (low << 17) ^
          (low >>  2);

    // Hagai's code:
    /*uint32_t t = (s ^ (s << 6)) << 24;

    // some temporaries to optimize XOR
    uint32_t x = (t >> 1) ^ (t >> 2);
    uint32_t y = x ^ (x >> 3);
    uint32_t z = (t >> 12) ^ (t >> 16);

    crc = (crc >> 8) ^
           t ^ (t >> 23) ^
           y ^ (y >>  6) ^
           z ^ (z >> 10);*/
  }

  return ~crc; // same as crc ^ 0xFFFFFFFF
}


/// compute CRC32 (byte algorithm) without lookup tables
uint32_t crc32_1byte_tableless2(const void* data, size_t length, uint32_t previousCrc32)
{
  int32_t crc = ~previousCrc32; // note: signed integer, right shift distributes sign bit into lower bits
  const uint8_t* current = (const uint8_t*) data;

  while (length-- != 0)
  {
    crc = crc ^ *current++;

    uint32_t c = (((crc << 31) >> 31) & ((Polynomial >> 7)  ^ (Polynomial >> 1))) ^
                 (((crc << 30) >> 31) & ((Polynomial >> 6)  ^  Polynomial)) ^
                 (((crc << 29) >> 31) &  (Polynomial >> 5)) ^
                 (((crc << 28) >> 31) &  (Polynomial >> 4)) ^
                 (((crc << 27) >> 31) &  (Polynomial >> 3)) ^
                 (((crc << 26) >> 31) &  (Polynomial >> 2)) ^
                 (((crc << 25) >> 31) &  (Polynomial >> 1)) ^
                 (((crc << 24) >> 31) &   Polynomial);

    crc = ((uint32_t)crc >> 8) ^ c; // convert to unsigned integer before right shift
  }

  return ~crc; // same as crc ^ 0xFFFFFFFF
}


#ifdef CRC32_USE_LOOKUP_TABLE_SLICING_BY_4
/// compute CRC32 (Slicing-by-4 algorithm)
uint32_t crc32_4bytes(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t  crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint32_t* current = (const uint32_t*) data;

  // process four bytes at once (Slicing-by-4)
  while (length >= 4)
  {
#if __BYTE_ORDER == __BIG_ENDIAN
    uint32_t one = *current++ ^ swap(crc);
    crc = Crc32Lookup[0][ one      & 0xFF] ^
          Crc32Lookup[1][(one>> 8) & 0xFF] ^
          Crc32Lookup[2][(one>>16) & 0xFF] ^
          Crc32Lookup[3][(one>>24) & 0xFF];
#else
    uint32_t one = *current++ ^ crc;
    crc = Crc32Lookup[0][(one>>24) & 0xFF] ^
          Crc32Lookup[1][(one>>16) & 0xFF] ^
          Crc32Lookup[2][(one>> 8) & 0xFF] ^
          Crc32Lookup[3][ one      & 0xFF];
#endif

    length -= 4;
  }

  const uint8_t* currentChar = (const uint8_t*) current;
  // remaining 1 to 3 bytes (standard algorithm)
  while (length-- != 0)
    crc = (crc >> 8) ^ Crc32Lookup[0][(crc & 0xFF) ^ *currentChar++];

  return ~crc; // same as crc ^ 0xFFFFFFFF
}
#endif


#ifdef CRC32_USE_LOOKUP_TABLE_SLICING_BY_8
/// compute CRC32 (Slicing-by-8 algorithm)
uint32_t crc32_8bytes(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint32_t* current = (const uint32_t*) data;

  // process eight bytes at once (Slicing-by-8)
  while (length >= 8)
  {
#if __BYTE_ORDER == __BIG_ENDIAN
    uint32_t one = *current++ ^ swap(crc);
    uint32_t two = *current++;
    crc = Crc32Lookup[0][ two      & 0xFF] ^
          Crc32Lookup[1][(two>> 8) & 0xFF] ^
          Crc32Lookup[2][(two>>16) & 0xFF] ^
          Crc32Lookup[3][(two>>24) & 0xFF] ^
          Crc32Lookup[4][ one      & 0xFF] ^
          Crc32Lookup[5][(one>> 8) & 0xFF] ^
          Crc32Lookup[6][(one>>16) & 0xFF] ^
          Crc32Lookup[7][(one>>24) & 0xFF];
#else
    uint32_t one = *current++ ^ crc;
    uint32_t two = *current++;
    crc = Crc32Lookup[0][(two>>24) & 0xFF] ^
          Crc32Lookup[1][(two>>16) & 0xFF] ^
          Crc32Lookup[2][(two>> 8) & 0xFF] ^
          Crc32Lookup[3][ two      & 0xFF] ^
          Crc32Lookup[4][(one>>24) & 0xFF] ^
          Crc32Lookup[5][(one>>16) & 0xFF] ^
          Crc32Lookup[6][(one>> 8) & 0xFF] ^
          Crc32Lookup[7][ one      & 0xFF];
#endif

    length -= 8;
  }

  const uint8_t* currentChar = (const uint8_t*) current;
  // remaining 1 to 7 bytes (standard algorithm)
  while (length-- != 0)
    crc = (crc >> 8) ^ Crc32Lookup[0][(crc & 0xFF) ^ *currentChar++];

  return ~crc; // same as crc ^ 0xFFFFFFFF
}


/// compute CRC32 (Slicing-by-8 algorithm), unroll inner loop 4 times
uint32_t crc32_4x8bytes(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint32_t* current = (const uint32_t*) data;

  // enabling optimization (at least -O2) automatically unrolls the inner for-loop
  const size_t Unroll = 4;
  const size_t BytesAtOnce = 8 * Unroll;

  // process 4x eight bytes at once (Slicing-by-8)
  while (length >= BytesAtOnce)
  {
    for (size_t unrolling = 0; unrolling < Unroll; unrolling++)
    {
#if __BYTE_ORDER == __BIG_ENDIAN
      uint32_t one = *current++ ^ swap(crc);
      uint32_t two = *current++;
      crc = Crc32Lookup[0][ two      & 0xFF] ^
            Crc32Lookup[1][(two>> 8) & 0xFF] ^
            Crc32Lookup[2][(two>>16) & 0xFF] ^
            Crc32Lookup[3][(two>>24) & 0xFF] ^
            Crc32Lookup[4][ one      & 0xFF] ^
            Crc32Lookup[5][(one>> 8) & 0xFF] ^
            Crc32Lookup[6][(one>>16) & 0xFF] ^
            Crc32Lookup[7][(one>>24) & 0xFF];
#else
      uint32_t one = *current++ ^ crc;
      uint32_t two = *current++;
      crc = Crc32Lookup[0][(two>>24) & 0xFF] ^
            Crc32Lookup[1][(two>>16) & 0xFF] ^
            Crc32Lookup[2][(two>> 8) & 0xFF] ^
            Crc32Lookup[3][ two      & 0xFF] ^
            Crc32Lookup[4][(one>>24) & 0xFF] ^
            Crc32Lookup[5][(one>>16) & 0xFF] ^
            Crc32Lookup[6][(one>> 8) & 0xFF] ^
            Crc32Lookup[7][ one      & 0xFF];
#endif

    }

    length -= BytesAtOnce;
  }

  const uint8_t* currentChar = (const uint8_t*) current;
  // remaining 1 to 31 bytes (standard algorithm)
  while (length-- != 0)
    crc = (crc >> 8) ^ Crc32Lookup[0][(crc & 0xFF) ^ *currentChar++];

  return ~crc; // same as crc ^ 0xFFFFFFFF
}
#endif // CRC32_USE_LOOKUP_TABLE_SLICING_BY_8


#ifdef CRC32_USE_LOOKUP_TABLE_SLICING_BY_16
/// compute CRC32 (Slicing-by-16 algorithm)
uint32_t crc32_16bytes(const void* data, size_t length, uint32_t previousCrc32)
{
  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint32_t* current = (const uint32_t*) data;

  // enabling optimization (at least -O2) automatically unrolls the inner for-loop
  const size_t Unroll = 4;
  const size_t BytesAtOnce = 16 * Unroll;

  while (length >= BytesAtOnce)
  {
    for (size_t unrolling = 0; unrolling < Unroll; unrolling++)
    {
#if __BYTE_ORDER == __BIG_ENDIAN
    uint32_t one   = *current++ ^ swap(crc);
    uint32_t two   = *current++;
    uint32_t three = *current++;
    uint32_t four  = *current++;
    crc  = Crc32Lookup[ 0][ four         & 0xFF] ^
           Crc32Lookup[ 1][(four  >>  8) & 0xFF] ^
           Crc32Lookup[ 2][(four  >> 16) & 0xFF] ^
           Crc32Lookup[ 3][(four  >> 24) & 0xFF] ^
           Crc32Lookup[ 4][ three        & 0xFF] ^
           Crc32Lookup[ 5][(three >>  8) & 0xFF] ^
           Crc32Lookup[ 6][(three >> 16) & 0xFF] ^
           Crc32Lookup[ 7][(three >> 24) & 0xFF] ^
           Crc32Lookup[ 8][ two          & 0xFF] ^
           Crc32Lookup[ 9][(two   >>  8) & 0xFF] ^
           Crc32Lookup[10][(two   >> 16) & 0xFF] ^
           Crc32Lookup[11][(two   >> 24) & 0xFF] ^
           Crc32Lookup[12][ one          & 0xFF] ^
           Crc32Lookup[13][(one   >>  8) & 0xFF] ^
           Crc32Lookup[14][(one   >> 16) & 0xFF] ^
           Crc32Lookup[15][(one   >> 24) & 0xFF];
#else
    uint32_t one   = *current++ ^ crc;
    uint32_t two   = *current++;
    uint32_t three = *current++;
    uint32_t four  = *current++;
    crc  = Crc32Lookup[ 0][(four  >> 24) & 0xFF] ^
           Crc32Lookup[ 1][(four  >> 16) & 0xFF] ^
           Crc32Lookup[ 2][(four  >>  8) & 0xFF] ^
           Crc32Lookup[ 3][ four         & 0xFF] ^
           Crc32Lookup[ 4][(three >> 24) & 0xFF] ^
           Crc32Lookup[ 5][(three >> 16) & 0xFF] ^
           Crc32Lookup[ 6][(three >>  8) & 0xFF] ^
           Crc32Lookup[ 7][ three        & 0xFF] ^
           Crc32Lookup[ 8][(two   >> 24) & 0xFF] ^
           Crc32Lookup[ 9][(two   >> 16) & 0xFF] ^
           Crc32Lookup[10][(two   >>  8) & 0xFF] ^
           Crc32Lookup[11][ two          & 0xFF] ^
           Crc32Lookup[12][(one   >> 24) & 0xFF] ^
           Crc32Lookup[13][(one   >> 16) & 0xFF] ^
           Crc32Lookup[14][(one   >>  8) & 0xFF] ^
           Crc32Lookup[15][ one          & 0xFF];
#endif
    }

    length -= BytesAtOnce;
  }

  const uint8_t* currentChar = (const uint8_t*) current;
  // remaining 1 to 63 bytes (standard algorithm)
  while (length-- != 0)
    crc = (crc >> 8) ^ Crc32Lookup[0][(crc & 0xFF) ^ *currentChar++];

  return ~crc; // same as crc ^ 0xFFFFFFFF
}


/// compute CRC32 (Slicing-by-16 algorithm, prefetch upcoming data blocks)
uint32_t crc32_16bytes_prefetch(const void* data, size_t length, uint32_t previousCrc32, size_t prefetchAhead)
{
  // CRC code is identical to crc32_16bytes (including unrolling), only added prefetching
  // 256 bytes look-ahead seems to be the sweet spot on Core i7 CPUs

  uint32_t crc = ~previousCrc32; // same as previousCrc32 ^ 0xFFFFFFFF
  const uint32_t* current = (const uint32_t*) data;

  // enabling optimization (at least -O2) automatically unrolls the for-loop
  const size_t Unroll = 4;
  const size_t BytesAtOnce = 16 * Unroll;

  while (length >= BytesAtOnce + prefetchAhead)
  {
    PREFETCH(((const char*) current) + prefetchAhead);

    for (size_t unrolling = 0; unrolling < Unroll; unrolling++)
    {
#if __BYTE_ORDER == __BIG_ENDIAN
    uint32_t one   = *current++ ^ swap(crc);
    uint32_t two   = *current++;
    uint32_t three = *current++;
    uint32_t four  = *current++;
    crc  = Crc32Lookup[ 0][ four         & 0xFF] ^
           Crc32Lookup[ 1][(four  >>  8) & 0xFF] ^
           Crc32Lookup[ 2][(four  >> 16) & 0xFF] ^
           Crc32Lookup[ 3][(four  >> 24) & 0xFF] ^
           Crc32Lookup[ 4][ three        & 0xFF] ^
           Crc32Lookup[ 5][(three >>  8) & 0xFF] ^
           Crc32Lookup[ 6][(three >> 16) & 0xFF] ^
           Crc32Lookup[ 7][(three >> 24) & 0xFF] ^
           Crc32Lookup[ 8][ two          & 0xFF] ^
           Crc32Lookup[ 9][(two   >>  8) & 0xFF] ^
           Crc32Lookup[10][(two   >> 16) & 0xFF] ^
           Crc32Lookup[11][(two   >> 24) & 0xFF] ^
           Crc32Lookup[12][ one          & 0xFF] ^
           Crc32Lookup[13][(one   >>  8) & 0xFF] ^
           Crc32Lookup[14][(one   >> 16) & 0xFF] ^
           Crc32Lookup[15][(one   >> 24) & 0xFF];
#else
    uint32_t one   = *current++ ^ crc;
    uint32_t two   = *current++;
    uint32_t three = *current++;
    uint32_t four  = *current++;
    crc  = Crc32Lookup[ 0][(four  >> 24) & 0xFF] ^
           Crc32Lookup[ 1][(four  >> 16) & 0xFF] ^
           Crc32Lookup[ 2][(four  >>  8) & 0xFF] ^
           Crc32Lookup[ 3][ four         & 0xFF] ^
           Crc32Lookup[ 4][(three >> 24) & 0xFF] ^
           Crc32Lookup[ 5][(three >> 16) & 0xFF] ^
           Crc32Lookup[ 6][(three >>  8) & 0xFF] ^
           Crc32Lookup[ 7][ three        & 0xFF] ^
           Crc32Lookup[ 8][(two   >> 24) & 0xFF] ^
           Crc32Lookup[ 9][(two   >> 16) & 0xFF] ^
           Crc32Lookup[10][(two   >>  8) & 0xFF] ^
           Crc32Lookup[11][ two          & 0xFF] ^
           Crc32Lookup[12][(one   >> 24) & 0xFF] ^
           Crc32Lookup[13][(one   >> 16) & 0xFF] ^
           Crc32Lookup[14][(one   >>  8) & 0xFF] ^
           Crc32Lookup[15][ one          & 0xFF];
#endif
    }

    length -= BytesAtOnce;
  }

  const uint8_t* currentChar = (const uint8_t*) current;
  // remaining 1 to 63 bytes (standard algorithm)
  while (length-- != 0)
    crc = (crc >> 8) ^ Crc32Lookup[0][(crc & 0xFF) ^ *currentChar++];

  return ~crc; // same as crc ^ 0xFFFFFFFF
}
#endif


/// compute CRC32 using the fastest algorithm for large datasets on modern CPUs
uint32_t crc32_fast(const void* data, size_t length, uint32_t previousCrc32)
{
#ifdef CRC32_USE_LOOKUP_TABLE_SLICING_BY_16
  return crc32_16bytes (data, length, previousCrc32);
#elif defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_8)
  return crc32_8bytes  (data, length, previousCrc32);
#elif defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_4)
  return crc32_4bytes  (data, length, previousCrc32);
#elif defined(CRC32_USE_LOOKUP_TABLE_BYTE)
  return crc32_1byte   (data, length, previousCrc32);
#else
  return crc32_halfbyte(data, length, previousCrc32);
#endif
}


/// merge two CRC32 such that result = crc32(dataB, lengthB, crc32(dataA, lengthA))
uint32_t crc32_combine(uint32_t crcA, uint32_t crcB, size_t lengthB)
{
  // based on Mark Adler's crc_combine from
  // https://github.com/madler/pigz/blob/master/pigz.c

  // main idea:
  // - if you have two equally-sized blocks A and B,
  //   then you can create a block C = A ^ B
  //   which has the property crc(C) = crc(A) ^ crc(B)
  // - if you append length(B) zeros to A and call it A' (think of it as AAAA000)
  //   and   prepend length(A) zeros to B and call it B' (think of it as 0000BBB)
  //   then exists a C' = A' ^ B'
  // - remember: if you XOR someting with zero, it remains unchanged: X ^ 0 = X
  // - that means C' = A concat B so that crc(A concat B) = crc(C') = crc(A') ^ crc(B')
  // - the trick is to compute crc(A') based on crc(A)
  //                       and crc(B') based on crc(B)
  // - since B' starts with many zeros, the crc of those initial zeros is still zero
  // - that means crc(B') = crc(B)
  // - unfortunately the trailing zeros of A' change the crc, so usually crc(A') != crc(A)
  // - the following code is a fast algorithm to compute crc(A')
  // - starting with crc(A) and appending length(B) zeros, needing just log2(length(B)) iterations
  // - the details are explained by the original author at
  //   https://stackoverflow.com/questions/23122312/crc-calculation-of-a-mostly-static-data-stream/23126768
  //
  // notes:
  // - I squeezed everything into one function to keep global namespace clean (original code two helper functions)
  // - most original comments are still in place, I added comments where these helper functions where made inline code
  // - performance-wise there isn't any differenze to the original zlib/pigz code

  // degenerated case
  if (lengthB == 0)
    return crcA;

  /// CRC32 => 32 bits
  const uint32_t CrcBits = 32;

  uint32_t odd [CrcBits]; // odd-power-of-two  zeros operator
  uint32_t even[CrcBits]; // even-power-of-two zeros operator

  // put operator for one zero bit in odd
  odd[0] = Polynomial;    // CRC-32 polynomial
  for (int i = 1; i < (int)CrcBits; i++)
    odd[i] = 1 << (i - 1);

  // put operator for two zero bits in even
  // same as gf2_matrix_square(even, odd);
  for (int i = 0; i < (int)CrcBits; i++)
  {
    uint32_t vec = odd[i];
    even[i] = 0;
    for (int j = 0; vec != 0; j++, vec >>= 1)
      if (vec & 1)
        even[i] ^= odd[j];
  }
  // put operator for four zero bits in odd
  // same as gf2_matrix_square(odd, even);
  for (int i = 0; i < (int)CrcBits; i++)
  {
    uint32_t vec = even[i];
    odd[i] = 0;
    for (int j = 0; vec != 0; j++, vec >>= 1)
      if (vec & 1)
        odd[i] ^= even[j];
  }

  // the following loop becomes much shorter if I keep swapping even and odd
  uint32_t* a = even;
  uint32_t* b = odd;
  // apply secondLength zeros to firstCrc32
  for (; lengthB > 0; lengthB >>= 1)
  {
    // same as gf2_matrix_square(a, b);
    for (int i = 0; i < (int)CrcBits; i++)
    {
      uint32_t vec = b[i];
      a[i] = 0;
      for (int j = 0; vec != 0; j++, vec >>= 1)
        if (vec & 1)
          a[i] ^= b[j];
    }

    // apply zeros operator for this bit
    if (lengthB & 1)
    {
      // same as firstCrc32 = gf2_matrix_times(a, firstCrc32);
      uint32_t sum = 0;
      for (int i = 0; crcA != 0; i++, crcA >>= 1)
        if (crcA & 1)
          sum ^= a[i];
      crcA = sum;
    }

    // switch even and odd
    uint32_t* t = a; a = b; b = t;
  }

  // return combined crc
  return crcA ^ crcB;
}


// //////////////////////////////////////////////////////////
// constants


#ifndef NO_LUT
/// look-up table, already declared above
const uint32_t Crc32Lookup[MaxSlice][256] =
{
  //// same algorithm as crc32_bitwise
  //for (int i = 0; i <= 0xFF; i++)
  //{
  //  uint32_t crc = i;
  //  for (int j = 0; j < 8; j++)
  //    crc = (crc >> 1) ^ ((crc & 1) * Polynomial);
  //  Crc32Lookup[0][i] = crc;
  //}
  //// ... and the following slicing-by-8 algorithm (from Intel):
  //// http://www.intel.com/technology/comms/perfnet/download/CRC_generators.pdf
  //// http://sourceforge.net/projects/slicing-by-8/
  //for (int slice = 1; slice < MaxSlice; slice++)
  //  Crc32Lookup[slice][i] = (Crc32Lookup[slice - 1][i] >> 8) ^ Crc32Lookup[0][Crc32Lookup[slice - 1][i] & 0xFF];
  {
    // note: the first number of every second row corresponds to the half-byte look-up table !
    0x00000000,0x77073096,0xEE0E612C,0x990951BA,0x076DC419,0x706AF48F,0xE963A535,0x9E6495A3,
    0x0EDB8832,0x79DCB8A4,0xE0D5E91E,0x97D2D988,0x09B64C2B,0x7EB17CBD,0xE7B82D07,0x90BF1D91,
    0x1DB71064,0x6AB020F2,0xF3B97148,0x84BE41DE,0x1ADAD47D,0x6DDDE4EB,0xF4D4B551,0x83D385C7,
    0x136C9856,0x646BA8C0,0xFD62F97A,0x8A65C9EC,0x14015C4F,0x63066CD9,0xFA0F3D63,0x8D080DF5,
    0x3B6E20C8,0x4C69105E,0xD56041E4,0xA2677172,0x3C03E4D1,0x4B04D447,0xD20D85FD,0xA50AB56B,
    0x35B5A8FA,0x42B2986C,0xDBBBC9D6,0xACBCF940,0x32D86CE3,0x45DF5C75,0xDCD60DCF,0xABD13D59,
    0x26D930AC,0x51DE003A,0xC8D75180,0xBFD06116,0x21B4F4B5,0x56B3C423,0xCFBA9599,0xB8BDA50F,
    0x2802B89E,0x5F058808,0xC60CD9B2,0xB10BE924,0x2F6F7C87,0x58684C11,0xC1611DAB,0xB6662D3D,
    0x76DC4190,0x01DB7106,0x98D220BC,0xEFD5102A,0x71B18589,0x06B6B51F,0x9FBFE4A5,0xE8B8D433,
    0x7807C9A2,0x0F00F934,0x9609A88E,0xE10E9818,0x7F6A0DBB,0x086D3D2D,0x91646C97,0xE6635C01,
    0x6B6B51F4,0x1C6C6162,0x856530D8,0xF262004E,0x6C0695ED,0x1B01A57B,0x8208F4C1,0xF50FC457,
    0x65B0D9C6,0x12B7E950,0x8BBEB8EA,0xFCB9887C,0x62DD1DDF,0x15DA2D49,0x8CD37CF3,0xFBD44C65,
    0x4DB26158,0x3AB551CE,0xA3BC0074,0xD4BB30E2,0x4ADFA541,0x3DD895D7,0xA4D1C46D,0xD3D6F4FB,
    0x4369E96A,0x346ED9FC,0xAD678846,0xDA60B8D0,0x44042D73,0x33031DE5,0xAA0A4C5F,0xDD0D7CC9,
    0x5005713C,0x270241AA,0xBE0B1010,0xC90C2086,0x5768B525,0x206F85B3,0xB966D409,0xCE61E49F,
    0x5EDEF90E,0x29D9C998,0xB0D09822,0xC7D7A8B4,0x59B33D17,0x2EB40D81,0xB7BD5C3B,0xC0BA6CAD,
    0xEDB88320,0x9ABFB3B6,0x03B6E20C,0x74B1D29A,0xEAD54739,0x9DD277AF,0x04DB2615,0x73DC1683,
    0xE3630B12,0x94643B84,0x0D6D6A3E,0x7A6A5AA8,0xE40ECF0B,0x9309FF9D,0x0A00AE27,0x7D079EB1,
    0xF00F9344,0x8708A3D2,0x1E01F268,0x6906C2FE,0xF762575D,0x806567CB,0x196C3671,0x6E6B06E7,
    0xFED41B76,0x89D32BE0,0x10DA7A5A,0x67DD4ACC,0xF9B9DF6F,0x8EBEEFF9,0x17B7BE43,0x60B08ED5,
    0xD6D6A3E8,0xA1D1937E,0x38D8C2C4,0x4FDFF252,0xD1BB67F1,0xA6BC5767,0x3FB506DD,0x48B2364B,
    0xD80D2BDA,0xAF0A1B4C,0x36034AF6,0x41047A60,0xDF60EFC3,0xA867DF55,0x316E8EEF,0x4669BE79,
    0xCB61B38C,0xBC66831A,0x256FD2A0,0x5268E236,0xCC0C7795,0xBB0B4703,0x220216B9,0x5505262F,
    0xC5BA3BBE,0xB2BD0B28,0x2BB45A92,0x5CB36A04,0xC2D7FFA7,0xB5D0CF31,0x2CD99E8B,0x5BDEAE1D,
    0x9B64C2B0,0xEC63F226,0x756AA39C,0x026D930A,0x9C0906A9,0xEB0E363F,0x72076785,0x05005713,
    0x95BF4A82,0xE2B87A14,0x7BB12BAE,0x0CB61B38,0x92D28E9B,0xE5D5BE0D,0x7CDCEFB7,0x0BDBDF21,
    0x86D3D2D4,0xF1D4E242,0x68DDB3F8,0x1FDA836E,0x81BE16CD,0xF6B9265B,0x6FB077E1,0x18B74777,
    0x88085AE6,0xFF0F6A70,0x66063BCA,0x11010B5C,0x8F659EFF,0xF862AE69,0x616BFFD3,0x166CCF45,
    0xA00AE278,0xD70DD2EE,0x4E048354,0x3903B3C2,0xA7672661,0xD06016F7,0x4969474D,0x3E6E77DB,
    0xAED16A4A,0xD9D65ADC,0x40DF0B66,0x37D83BF0,0xA9BCAE53,0xDEBB9EC5,0x47B2CF7F,0x30B5FFE9,
    0xBDBDF21C,0xCABAC28A,0x53B39330,0x24B4A3A6,0xBAD03605,0xCDD70693,0x54DE5729,0x23D967BF,
    0xB3667A2E,0xC4614AB8,0x5D681B02,0x2A6F2B94,0xB40BBE37,0xC30C8EA1,0x5A05DF1B,0x2D02EF8D,
  }

#if defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_4) || defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_8) || defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_16)
  // beyond this point only relevant for Slicing-by-4, Slicing-by-8 and Slicing-by-16
  ,{
    0x00000000,0x191B3141,0x32366282,0x2B2D53C3,0x646CC504,0x7D77F445,0x565AA786,0x4F4196C7,
    0xC8D98A08,0xD1C2BB49,0xFAEFE88A,0xE3F4D9CB,0xACB54F0C,0xB5AE7E4D,0x9E832D8E,0x87981CCF,
    0x4AC21251,0x53D92310,0x78F470D3,0x61EF4192,0x2EAED755,0x37B5E614,0x1C98B5D7,0x05838496,
    0x821B9859,0x9B00A918,0xB02DFADB,0xA936CB9A,0xE6775D5D,0xFF6C6C1C,0xD4413FDF,0xCD5A0E9E,
    0x958424A2,0x8C9F15E3,0xA7B24620,0xBEA97761,0xF1E8E1A6,0xE8F3D0E7,0xC3DE8324,0xDAC5B265,
    0x5D5DAEAA,0x44469FEB,0x6F6BCC28,0x7670FD69,0x39316BAE,0x202A5AEF,0x0B07092C,0x121C386D,
    0xDF4636F3,0xC65D07B2,0xED705471,0xF46B6530,0xBB2AF3F7,0xA231C2B6,0x891C9175,0x9007A034,
    0x179FBCFB,0x0E848DBA,0x25A9DE79,0x3CB2EF38,0x73F379FF,0x6AE848BE,0x41C51B7D,0x58DE2A3C,
    0xF0794F05,0xE9627E44,0xC24F2D87,0xDB541CC6,0x94158A01,0x8D0EBB40,0xA623E883,0xBF38D9C2,
    0x38A0C50D,0x21BBF44C,0x0A96A78F,0x138D96CE,0x5CCC0009,0x45D73148,0x6EFA628B,0x77E153CA,
    0xBABB5D54,0xA3A06C15,0x888D3FD6,0x91960E97,0xDED79850,0xC7CCA911,0xECE1FAD2,0xF5FACB93,
    0x7262D75C,0x6B79E61D,0x4054B5DE,0x594F849F,0x160E1258,0x0F152319,0x243870DA,0x3D23419B,
    0x65FD6BA7,0x7CE65AE6,0x57CB0925,0x4ED03864,0x0191AEA3,0x188A9FE2,0x33A7CC21,0x2ABCFD60,
    0xAD24E1AF,0xB43FD0EE,0x9F12832D,0x8609B26C,0xC94824AB,0xD05315EA,0xFB7E4629,0xE2657768,
    0x2F3F79F6,0x362448B7,0x1D091B74,0x04122A35,0x4B53BCF2,0x52488DB3,0x7965DE70,0x607EEF31,
    0xE7E6F3FE,0xFEFDC2BF,0xD5D0917C,0xCCCBA03D,0x838A36FA,0x9A9107BB,0xB1BC5478,0xA8A76539,
    0x3B83984B,0x2298A90A,0x09B5FAC9,0x10AECB88,0x5FEF5D4F,0x46F46C0E,0x6DD93FCD,0x74C20E8C,
    0xF35A1243,0xEA412302,0xC16C70C1,0xD8774180,0x9736D747,0x8E2DE606,0xA500B5C5,0xBC1B8484,
    0x71418A1A,0x685ABB5B,0x4377E898,0x5A6CD9D9,0x152D4F1E,0x0C367E5F,0x271B2D9C,0x3E001CDD,
    0xB9980012,0xA0833153,0x8BAE6290,0x92B553D1,0xDDF4C516,0xC4EFF457,0xEFC2A794,0xF6D996D5,
    0xAE07BCE9,0xB71C8DA8,0x9C31DE6B,0x852AEF2A,0xCA6B79ED,0xD37048AC,0xF85D1B6F,0xE1462A2E,
    0x66DE36E1,0x7FC507A0,0x54E85463,0x4DF36522,0x02B2F3E5,0x1BA9C2A4,0x30849167,0x299FA026,
    0xE4C5AEB8,0xFDDE9FF9,0xD6F3CC3A,0xCFE8FD7B,0x80A96BBC,0x99B25AFD,0xB29F093E,0xAB84387F,
    0x2C1C24B0,0x350715F1,0x1E2A4632,0x07317773,0x4870E1B4,0x516BD0F5,0x7A468336,0x635DB277,
    0xCBFAD74E,0xD2E1E60F,0xF9CCB5CC,0xE0D7848D,0xAF96124A,0xB68D230B,0x9DA070C8,0x84BB4189,
    0x03235D46,0x1A386C07,0x31153FC4,0x280E0E85,0x674F9842,0x7E54A903,0x5579FAC0,0x4C62CB81,
    0x8138C51F,0x9823F45E,0xB30EA79D,0xAA1596DC,0xE554001B,0xFC4F315A,0xD7626299,0xCE7953D8,
    0x49E14F17,0x50FA7E56,0x7BD72D95,0x62CC1CD4,0x2D8D8A13,0x3496BB52,0x1FBBE891,0x06A0D9D0,
    0x5E7EF3EC,0x4765C2AD,0x6C48916E,0x7553A02F,0x3A1236E8,0x230907A9,0x0824546A,0x113F652B,
    0x96A779E4,0x8FBC48A5,0xA4911B66,0xBD8A2A27,0xF2CBBCE0,0xEBD08DA1,0xC0FDDE62,0xD9E6EF23,
    0x14BCE1BD,0x0DA7D0FC,0x268A833F,0x3F91B27E,0x70D024B9,0x69CB15F8,0x42E6463B,0x5BFD777A,
    0xDC656BB5,0xC57E5AF4,0xEE530937,0xF7483876,0xB809AEB1,0xA1129FF0,0x8A3FCC33,0x9324FD72,
  },

  {
    0x00000000,0x01C26A37,0x0384D46E,0x0246BE59,0x0709A8DC,0x06CBC2EB,0x048D7CB2,0x054F1685,
    0x0E1351B8,0x0FD13B8F,0x0D9785D6,0x0C55EFE1,0x091AF964,0x08D89353,0x0A9E2D0A,0x0B5C473D,
    0x1C26A370,0x1DE4C947,0x1FA2771E,0x1E601D29,0x1B2F0BAC,0x1AED619B,0x18ABDFC2,0x1969B5F5,
    0x1235F2C8,0x13F798FF,0x11B126A6,0x10734C91,0x153C5A14,0x14FE3023,0x16B88E7A,0x177AE44D,
    0x384D46E0,0x398F2CD7,0x3BC9928E,0x3A0BF8B9,0x3F44EE3C,0x3E86840B,0x3CC03A52,0x3D025065,
    0x365E1758,0x379C7D6F,0x35DAC336,0x3418A901,0x3157BF84,0x3095D5B3,0x32D36BEA,0x331101DD,
    0x246BE590,0x25A98FA7,0x27EF31FE,0x262D5BC9,0x23624D4C,0x22A0277B,0x20E69922,0x2124F315,
    0x2A78B428,0x2BBADE1F,0x29FC6046,0x283E0A71,0x2D711CF4,0x2CB376C3,0x2EF5C89A,0x2F37A2AD,
    0x709A8DC0,0x7158E7F7,0x731E59AE,0x72DC3399,0x7793251C,0x76514F2B,0x7417F172,0x75D59B45,
    0x7E89DC78,0x7F4BB64F,0x7D0D0816,0x7CCF6221,0x798074A4,0x78421E93,0x7A04A0CA,0x7BC6CAFD,
    0x6CBC2EB0,0x6D7E4487,0x6F38FADE,0x6EFA90E9,0x6BB5866C,0x6A77EC5B,0x68315202,0x69F33835,
    0x62AF7F08,0x636D153F,0x612BAB66,0x60E9C151,0x65A6D7D4,0x6464BDE3,0x662203BA,0x67E0698D,
    0x48D7CB20,0x4915A117,0x4B531F4E,0x4A917579,0x4FDE63FC,0x4E1C09CB,0x4C5AB792,0x4D98DDA5,
    0x46C49A98,0x4706F0AF,0x45404EF6,0x448224C1,0x41CD3244,0x400F5873,0x4249E62A,0x438B8C1D,
    0x54F16850,0x55330267,0x5775BC3E,0x56B7D609,0x53F8C08C,0x523AAABB,0x507C14E2,0x51BE7ED5,
    0x5AE239E8,0x5B2053DF,0x5966ED86,0x58A487B1,0x5DEB9134,0x5C29FB03,0x5E6F455A,0x5FAD2F6D,
    0xE1351B80,0xE0F771B7,0xE2B1CFEE,0xE373A5D9,0xE63CB35C,0xE7FED96B,0xE5B86732,0xE47A0D05,
    0xEF264A38,0xEEE4200F,0xECA29E56,0xED60F461,0xE82FE2E4,0xE9ED88D3,0xEBAB368A,0xEA695CBD,
    0xFD13B8F0,0xFCD1D2C7,0xFE976C9E,0xFF5506A9,0xFA1A102C,0xFBD87A1B,0xF99EC442,0xF85CAE75,
    0xF300E948,0xF2C2837F,0xF0843D26,0xF1465711,0xF4094194,0xF5CB2BA3,0xF78D95FA,0xF64FFFCD,
    0xD9785D60,0xD8BA3757,0xDAFC890E,0xDB3EE339,0xDE71F5BC,0xDFB39F8B,0xDDF521D2,0xDC374BE5,
    0xD76B0CD8,0xD6A966EF,0xD4EFD8B6,0xD52DB281,0xD062A404,0xD1A0CE33,0xD3E6706A,0xD2241A5D,
    0xC55EFE10,0xC49C9427,0xC6DA2A7E,0xC7184049,0xC25756CC,0xC3953CFB,0xC1D382A2,0xC011E895,
    0xCB4DAFA8,0xCA8FC59F,0xC8C97BC6,0xC90B11F1,0xCC440774,0xCD866D43,0xCFC0D31A,0xCE02B92D,
    0x91AF9640,0x906DFC77,0x922B422E,0x93E92819,0x96A63E9C,0x976454AB,0x9522EAF2,0x94E080C5,
    0x9FBCC7F8,0x9E7EADCF,0x9C381396,0x9DFA79A1,0x98B56F24,0x99770513,0x9B31BB4A,0x9AF3D17D,
    0x8D893530,0x8C4B5F07,0x8E0DE15E,0x8FCF8B69,0x8A809DEC,0x8B42F7DB,0x89044982,0x88C623B5,
    0x839A6488,0x82580EBF,0x801EB0E6,0x81DCDAD1,0x8493CC54,0x8551A663,0x8717183A,0x86D5720D,
    0xA9E2D0A0,0xA820BA97,0xAA6604CE,0xABA46EF9,0xAEEB787C,0xAF29124B,0xAD6FAC12,0xACADC625,
    0xA7F18118,0xA633EB2F,0xA4755576,0xA5B73F41,0xA0F829C4,0xA13A43F3,0xA37CFDAA,0xA2BE979D,
    0xB5C473D0,0xB40619E7,0xB640A7BE,0xB782CD89,0xB2CDDB0C,0xB30FB13B,0xB1490F62,0xB08B6555,
    0xBBD72268,0xBA15485F,0xB853F606,0xB9919C31,0xBCDE8AB4,0xBD1CE083,0xBF5A5EDA,0xBE9834ED,
  },

  {
    0x00000000,0xB8BC6765,0xAA09C88B,0x12B5AFEE,0x8F629757,0x37DEF032,0x256B5FDC,0x9DD738B9,
    0xC5B428EF,0x7D084F8A,0x6FBDE064,0xD7018701,0x4AD6BFB8,0xF26AD8DD,0xE0DF7733,0x58631056,
    0x5019579F,0xE8A530FA,0xFA109F14,0x42ACF871,0xDF7BC0C8,0x67C7A7AD,0x75720843,0xCDCE6F26,
    0x95AD7F70,0x2D111815,0x3FA4B7FB,0x8718D09E,0x1ACFE827,0xA2738F42,0xB0C620AC,0x087A47C9,
    0xA032AF3E,0x188EC85B,0x0A3B67B5,0xB28700D0,0x2F503869,0x97EC5F0C,0x8559F0E2,0x3DE59787,
    0x658687D1,0xDD3AE0B4,0xCF8F4F5A,0x7733283F,0xEAE41086,0x525877E3,0x40EDD80D,0xF851BF68,
    0xF02BF8A1,0x48979FC4,0x5A22302A,0xE29E574F,0x7F496FF6,0xC7F50893,0xD540A77D,0x6DFCC018,
    0x359FD04E,0x8D23B72B,0x9F9618C5,0x272A7FA0,0xBAFD4719,0x0241207C,0x10F48F92,0xA848E8F7,
    0x9B14583D,0x23A83F58,0x311D90B6,0x89A1F7D3,0x1476CF6A,0xACCAA80F,0xBE7F07E1,0x06C36084,
    0x5EA070D2,0xE61C17B7,0xF4A9B859,0x4C15DF3C,0xD1C2E785,0x697E80E0,0x7BCB2F0E,0xC377486B,
    0xCB0D0FA2,0x73B168C7,0x6104C729,0xD9B8A04C,0x446F98F5,0xFCD3FF90,0xEE66507E,0x56DA371B,
    0x0EB9274D,0xB6054028,0xA4B0EFC6,0x1C0C88A3,0x81DBB01A,0x3967D77F,0x2BD27891,0x936E1FF4,
    0x3B26F703,0x839A9066,0x912F3F88,0x299358ED,0xB4446054,0x0CF80731,0x1E4DA8DF,0xA6F1CFBA,
    0xFE92DFEC,0x462EB889,0x549B1767,0xEC277002,0x71F048BB,0xC94C2FDE,0xDBF98030,0x6345E755,
    0x6B3FA09C,0xD383C7F9,0xC1366817,0x798A0F72,0xE45D37CB,0x5CE150AE,0x4E54FF40,0xF6E89825,
    0xAE8B8873,0x1637EF16,0x048240F8,0xBC3E279D,0x21E91F24,0x99557841,0x8BE0D7AF,0x335CB0CA,
    0xED59B63B,0x55E5D15E,0x47507EB0,0xFFEC19D5,0x623B216C,0xDA874609,0xC832E9E7,0x708E8E82,
    0x28ED9ED4,0x9051F9B1,0x82E4565F,0x3A58313A,0xA78F0983,0x1F336EE6,0x0D86C108,0xB53AA66D,
    0xBD40E1A4,0x05FC86C1,0x1749292F,0xAFF54E4A,0x322276F3,0x8A9E1196,0x982BBE78,0x2097D91D,
    0x78F4C94B,0xC048AE2E,0xD2FD01C0,0x6A4166A5,0xF7965E1C,0x4F2A3979,0x5D9F9697,0xE523F1F2,
    0x4D6B1905,0xF5D77E60,0xE762D18E,0x5FDEB6EB,0xC2098E52,0x7AB5E937,0x680046D9,0xD0BC21BC,
    0x88DF31EA,0x3063568F,0x22D6F961,0x9A6A9E04,0x07BDA6BD,0xBF01C1D8,0xADB46E36,0x15080953,
    0x1D724E9A,0xA5CE29FF,0xB77B8611,0x0FC7E174,0x9210D9CD,0x2AACBEA8,0x38191146,0x80A57623,
    0xD8C66675,0x607A0110,0x72CFAEFE,0xCA73C99B,0x57A4F122,0xEF189647,0xFDAD39A9,0x45115ECC,
    0x764DEE06,0xCEF18963,0xDC44268D,0x64F841E8,0xF92F7951,0x41931E34,0x5326B1DA,0xEB9AD6BF,
    0xB3F9C6E9,0x0B45A18C,0x19F00E62,0xA14C6907,0x3C9B51BE,0x842736DB,0x96929935,0x2E2EFE50,
    0x2654B999,0x9EE8DEFC,0x8C5D7112,0x34E11677,0xA9362ECE,0x118A49AB,0x033FE645,0xBB838120,
    0xE3E09176,0x5B5CF613,0x49E959FD,0xF1553E98,0x6C820621,0xD43E6144,0xC68BCEAA,0x7E37A9CF,
    0xD67F4138,0x6EC3265D,0x7C7689B3,0xC4CAEED6,0x591DD66F,0xE1A1B10A,0xF3141EE4,0x4BA87981,
    0x13CB69D7,0xAB770EB2,0xB9C2A15C,0x017EC639,0x9CA9FE80,0x241599E5,0x36A0360B,0x8E1C516E,
    0x866616A7,0x3EDA71C2,0x2C6FDE2C,0x94D3B949,0x090481F0,0xB1B8E695,0xA30D497B,0x1BB12E1E,
    0x43D23E48,0xFB6E592D,0xE9DBF6C3,0x516791A6,0xCCB0A91F,0x740CCE7A,0x66B96194,0xDE0506F1,
  }
#endif // defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_4) || defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_8) || defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_16)
#if defined (CRC32_USE_LOOKUP_TABLE_SLICING_BY_8) || defined(CRC32_USE_LOOKUP_TABLE_SLICING_BY_16)
  // beyond this point only relevant for Slicing-by-8 and Slicing-by-16
  ,{
    0x00000000,0x3D6029B0,0x7AC05360,0x47A07AD0,0xF580A6C0,0xC8E08F70,0x8F40F5A0,0xB220DC10,
    0x30704BC1,0x0D106271,0x4AB018A1,0x77D03111,0xC5F0ED01,0xF890C4B1,0xBF30BE61,0x825097D1,
    0x60E09782,0x5D80BE32,0x1A20C4E2,0x2740ED52,0x95603142,0xA80018F2,0xEFA06222,0xD2C04B92,
    0x5090DC43,0x6DF0F5F3,0x2A508F23,0x1730A693,0xA5107A83,0x98705333,0xDFD029E3,0xE2B00053,
    0xC1C12F04,0xFCA106B4,0xBB017C64,0x866155D4,0x344189C4,0x0921A074,0x4E81DAA4,0x73E1F314,
    0xF1B164C5,0xCCD14D75,0x8B7137A5,0xB6111E15,0x0431C205,0x3951EBB5,0x7EF19165,0x4391B8D5,
    0xA121B886,0x9C419136,0xDBE1EBE6,0xE681C256,0x54A11E46,0x69C137F6,0x2E614D26,0x13016496,
    0x9151F347,0xAC31DAF7,0xEB91A027,0xD6F18997,0x64D15587,0x59B17C37,0x1E1106E7,0x23712F57,
    0x58F35849,0x659371F9,0x22330B29,0x1F532299,0xAD73FE89,0x9013D739,0xD7B3ADE9,0xEAD38459,
    0x68831388,0x55E33A38,0x124340E8,0x2F236958,0x9D03B548,0xA0639CF8,0xE7C3E628,0xDAA3CF98,
    0x3813CFCB,0x0573E67B,0x42D39CAB,0x7FB3B51B,0xCD93690B,0xF0F340BB,0xB7533A6B,0x8A3313DB,
    0x0863840A,0x3503ADBA,0x72A3D76A,0x4FC3FEDA,0xFDE322CA,0xC0830B7A,0x872371AA,0xBA43581A,
    0x9932774D,0xA4525EFD,0xE3F2242D,0xDE920D9D,0x6CB2D18D,0x51D2F83D,0x167282ED,0x2B12AB5D,
    0xA9423C8C,0x9422153C,0xD3826FEC,0xEEE2465C,0x5CC29A4C,0x61A2B3FC,0x2602C92C,0x1B62E09C,
    0xF9D2E0CF,0xC4B2C97F,0x8312B3AF,0xBE729A1F,0x0C52460F,0x31326FBF,0x7692156F,0x4BF23CDF,
    0xC9A2AB0E,0xF4C282BE,0xB362F86E,0x8E02D1DE,0x3C220DCE,0x0142247E,0x46E25EAE,0x7B82771E,
    0xB1E6B092,0x8C869922,0xCB26E3F2,0xF646CA42,0x44661652,0x79063FE2,0x3EA64532,0x03C66C82,
    0x8196FB53,0xBCF6D2E3,0xFB56A833,0xC6368183,0x74165D93,0x49767423,0x0ED60EF3,0x33B62743,
    0xD1062710,0xEC660EA0,0xABC67470,0x96A65DC0,0x248681D0,0x19E6A860,0x5E46D2B0,0x6326FB00,
    0xE1766CD1,0xDC164561,0x9BB63FB1,0xA6D61601,0x14F6CA11,0x2996E3A1,0x6E369971,0x5356B0C1,
    0x70279F96,0x4D47B626,0x0AE7CCF6,0x3787E546,0x85A73956,0xB8C710E6,0xFF676A36,0xC2074386,
    0x4057D457,0x7D37FDE7,0x3A978737,0x07F7AE87,0xB5D77297,0x88B75B27,0xCF1721F7,0xF2770847,
    0x10C70814,0x2DA721A4,0x6A075B74,0x576772C4,0xE547AED4,0xD8278764,0x9F87FDB4,0xA2E7D404,
    0x20B743D5,0x1DD76A65,0x5A7710B5,0x67173905,0xD537E515,0xE857CCA5,0xAFF7B675,0x92979FC5,
    0xE915E8DB,0xD475C16B,0x93D5BBBB,0xAEB5920B,0x1C954E1B,0x21F567AB,0x66551D7B,0x5B3534CB,
    0xD965A31A,0xE4058AAA,0xA3A5F07A,0x9EC5D9CA,0x2CE505DA,0x11852C6A,0x562556BA,0x6B457F0A,
    0x89F57F59,0xB49556E9,0xF3352C39,0xCE550589,0x7C75D999,0x4115F029,0x06B58AF9,0x3BD5A349,
    0xB9853498,0x84E51D28,0xC34567F8,0xFE254E48,0x4C059258,0x7165BBE8,0x36C5C138,0x0BA5E888,
    0x28D4C7DF,0x15B4EE6F,0x521494BF,0x6F74BD0F,0xDD54611F,0xE03448AF,0xA794327F,0x9AF41BCF,
    0x18A48C1E,0x25C4A5AE,0x6264DF7E,0x5F04F6CE,0xED242ADE,0xD044036E,0x97E479BE,0xAA84500E,
    0x4834505D,0x755479ED,0x32F4033D,0x0F942A8D,0xBDB4F69D,0x80D4DF2D,0xC774A5FD,0xFA148C4D,
    0x78441B9C,0x4524322C,0x028448FC,0x3FE4614C,0x8DC4BD5C,0xB0A494EC,0xF704EE3C,0xCA64C78C,
  },

  {
    0x00000000,0xCB5CD3A5,0x4DC8A10B,0x869472AE,0x9B914216,0x50CD91B3,0xD659E31D,0x1D0530B8,
    0xEC53826D,0x270F51C8,0xA19B2366,0x6AC7F0C3,0x77C2C07B,0xBC9E13DE,0x3A0A6170,0xF156B2D5,
    0x03D6029B,0xC88AD13E,0x4E1EA390,0x85427035,0x9847408D,0x531B9328,0xD58FE186,0x1ED33223,
    0xEF8580F6,0x24D95353,0xA24D21FD,0x6911F258,0x7414C2E0,0xBF481145,0x39DC63EB,0xF280B04E,
    0x07AC0536,0xCCF0D693,0x4A64A43D,0x81387798,0x9C3D4720,0x57619485,0xD1F5E62B,0x1AA9358E,
    0xEBFF875B,0x20A354FE,0xA6372650,0x6D6BF5F5,0x706EC54D,0xBB3216E8,0x3DA66446,0xF6FAB7E3,
    0x047A07AD,0xCF26D408,0x49B2A6A6,0x82EE7503,0x9FEB45BB,0x54B7961E,0xD223E4B0,0x197F3715,
    0xE82985C0,0x23755665,0xA5E124CB,0x6EBDF76E,0x73B8C7D6,0xB8E41473,0x3E7066DD,0xF52CB578,
    0x0F580A6C,0xC404D9C9,0x4290AB67,0x89CC78C2,0x94C9487A,0x5F959BDF,0xD901E971,0x125D3AD4,
    0xE30B8801,0x28575BA4,0xAEC3290A,0x659FFAAF,0x789ACA17,0xB3C619B2,0x35526B1C,0xFE0EB8B9,
    0x0C8E08F7,0xC7D2DB52,0x4146A9FC,0x8A1A7A59,0x971F4AE1,0x5C439944,0xDAD7EBEA,0x118B384F,
    0xE0DD8A9A,0x2B81593F,0xAD152B91,0x6649F834,0x7B4CC88C,0xB0101B29,0x36846987,0xFDD8BA22,
    0x08F40F5A,0xC3A8DCFF,0x453CAE51,0x8E607DF4,0x93654D4C,0x58399EE9,0xDEADEC47,0x15F13FE2,
    0xE4A78D37,0x2FFB5E92,0xA96F2C3C,0x6233FF99,0x7F36CF21,0xB46A1C84,0x32FE6E2A,0xF9A2BD8F,
    0x0B220DC1,0xC07EDE64,0x46EAACCA,0x8DB67F6F,0x90B34FD7,0x5BEF9C72,0xDD7BEEDC,0x16273D79,
    0xE7718FAC,0x2C2D5C09,0xAAB92EA7,0x61E5FD02,0x7CE0CDBA,0xB7BC1E1F,0x31286CB1,0xFA74BF14,
    0x1EB014D8,0xD5ECC77D,0x5378B5D3,0x98246676,0x852156CE,0x4E7D856B,0xC8E9F7C5,0x03B52460,
    0xF2E396B5,0x39BF4510,0xBF2B37BE,0x7477E41B,0x6972D4A3,0xA22E0706,0x24BA75A8,0xEFE6A60D,
    0x1D661643,0xD63AC5E6,0x50AEB748,0x9BF264ED,0x86F75455,0x4DAB87F0,0xCB3FF55E,0x006326FB,
    0xF135942E,0x3A69478B,0xBCFD3525,0x77A1E680,0x6AA4D638,0xA1F8059D,0x276C7733,0xEC30A496,
    0x191C11EE,0xD240C24B,0x54D4B0E5,0x9F886340,0x828D53F8,0x49D1805D,0xCF45F2F3,0x04192156,
    0xF54F9383,0x3E134026,0xB8873288,0x73DBE12D,0x6EDED195,0xA5820230,0x2316709E,0xE84AA33B,
    0x1ACA1375,0xD196C0D0,0x5702B27E,0x9C5E61DB,0x815B5163,0x4A0782C6,0xCC93F068,0x07CF23CD,
    0xF6999118,0x3DC542BD,0xBB513013,0x700DE3B6,0x6D08D30E,0xA65400AB,0x20C07205,0xEB9CA1A0,
    0x11E81EB4,0xDAB4CD11,0x5C20BFBF,0x977C6C1A,0x8A795CA2,0x41258F07,0xC7B1FDA9,0x0CED2E0C,
    0xFDBB9CD9,0x36E74F7C,0xB0733DD2,0x7B2FEE77,0x662ADECF,0xAD760D6A,0x2BE27FC4,0xE0BEAC61,
    0x123E1C2F,0xD962CF8A,0x5FF6BD24,0x94AA6E81,0x89AF5E39,0x42F38D9C,0xC467FF32,0x0F3B2C97,
    0xFE6D9E42,0x35314DE7,0xB3A53F49,0x78F9ECEC,0x65FCDC54,0xAEA00FF1,0x28347D5F,0xE368AEFA,
    0x16441B82,0xDD18C827,0x5B8CBA89,0x90D0692C,0x8DD55994,0x46898A31,0xC01DF89F,0x0B412B3A,
    0xFA1799EF,0x314B4A4A,0xB7DF38E4,0x7C83EB41,0x6186DBF9,0xAADA085C,0x2C4E7AF2,0xE712A957,
    0x15921919,0xDECECABC,0x585AB812,0x93066BB7,0x8E035B0F,0x455F88AA,0xC3CBFA04,0x089729A1,
    0xF9C19B74,0x329D48D1,0xB4093A7F,0x7F55E9DA,0x6250D962,0xA90C0AC7,0x2F987869,0xE4C4ABCC,
  },

  {
    0x00000000,0xA6770BB4,0x979F1129,0x31E81A9D,0xF44F2413,0x52382FA7,0x63D0353A,0xC5A73E8E,
    0x33EF4E67,0x959845D3,0xA4705F4E,0x020754FA,0xC7A06A74,0x61D761C0,0x503F7B5D,0xF64870E9,
    0x67DE9CCE,0xC1A9977A,0xF0418DE7,0x56368653,0x9391B8DD,0x35E6B369,0x040EA9F4,0xA279A240,
    0x5431D2A9,0xF246D91D,0xC3AEC380,0x65D9C834,0xA07EF6BA,0x0609FD0E,0x37E1E793,0x9196EC27,
    0xCFBD399C,0x69CA3228,0x582228B5,0xFE552301,0x3BF21D8F,0x9D85163B,0xAC6D0CA6,0x0A1A0712,
    0xFC5277FB,0x5A257C4F,0x6BCD66D2,0xCDBA6D66,0x081D53E8,0xAE6A585C,0x9F8242C1,0x39F54975,
    0xA863A552,0x0E14AEE6,0x3FFCB47B,0x998BBFCF,0x5C2C8141,0xFA5B8AF5,0xCBB39068,0x6DC49BDC,
    0x9B8CEB35,0x3DFBE081,0x0C13FA1C,0xAA64F1A8,0x6FC3CF26,0xC9B4C492,0xF85CDE0F,0x5E2BD5BB,
    0x440B7579,0xE27C7ECD,0xD3946450,0x75E36FE4,0xB044516A,0x16335ADE,0x27DB4043,0x81AC4BF7,
    0x77E43B1E,0xD19330AA,0xE07B2A37,0x460C2183,0x83AB1F0D,0x25DC14B9,0x14340E24,0xB2430590,
    0x23D5E9B7,0x85A2E203,0xB44AF89E,0x123DF32A,0xD79ACDA4,0x71EDC610,0x4005DC8D,0xE672D739,
    0x103AA7D0,0xB64DAC64,0x87A5B6F9,0x21D2BD4D,0xE47583C3,0x42028877,0x73EA92EA,0xD59D995E,
    0x8BB64CE5,0x2DC14751,0x1C295DCC,0xBA5E5678,0x7FF968F6,0xD98E6342,0xE86679DF,0x4E11726B,
    0xB8590282,0x1E2E0936,0x2FC613AB,0x89B1181F,0x4C162691,0xEA612D25,0xDB8937B8,0x7DFE3C0C,
    0xEC68D02B,0x4A1FDB9F,0x7BF7C102,0xDD80CAB6,0x1827F438,0xBE50FF8C,0x8FB8E511,0x29CFEEA5,
    0xDF879E4C,0x79F095F8,0x48188F65,0xEE6F84D1,0x2BC8BA5F,0x8DBFB1EB,0xBC57AB76,0x1A20A0C2,
    0x8816EAF2,0x2E61E146,0x1F89FBDB,0xB9FEF06F,0x7C59CEE1,0xDA2EC555,0xEBC6DFC8,0x4DB1D47C,
    0xBBF9A495,0x1D8EAF21,0x2C66B5BC,0x8A11BE08,0x4FB68086,0xE9C18B32,0xD82991AF,0x7E5E9A1B,
    0xEFC8763C,0x49BF7D88,0x78576715,0xDE206CA1,0x1B87522F,0xBDF0599B,0x8C184306,0x2A6F48B2,
    0xDC27385B,0x7A5033EF,0x4BB82972,0xEDCF22C6,0x28681C48,0x8E1F17FC,0xBFF70D61,0x198006D5,
    0x47ABD36E,0xE1DCD8DA,0xD034C247,0x7643C9F3,0xB3E4F77D,0x1593FCC9,0x247BE654,0x820CEDE0,
    0x74449D09,0xD23396BD,0xE3DB8C20,0x45AC8794,0x800BB91A,0x267CB2AE,0x1794A833,0xB1E3A387,
    0x20754FA0,0x86024414,0xB7EA5E89,0x119D553D,0xD43A6BB3,0x724D6007,0x43A57A9A,0xE5D2712E,
    0x139A01C7,0xB5ED0A73,0x840510EE,0x22721B5A,0xE7D525D4,0x41A22E60,0x704A34FD,0xD63D3F49,
    0xCC1D9F8B,0x6A6A943F,0x5B828EA2,0xFDF58516,0x3852BB98,0x9E25B02C,0xAFCDAAB1,0x09BAA105,
    0xFFF2D1EC,0x5985DA58,0x686DC0C5,0xCE1ACB71,0x0BBDF5FF,0xADCAFE4B,0x9C22E4D6,0x3A55EF62,
    0xABC30345,0x0DB408F1,0x3C5C126C,0x9A2B19D8,0x5F8C2756,0xF9FB2CE2,0xC813367F,0x6E643DCB,
    0x982C4D22,0x3E5B4696,0x0FB35C0B,0xA9C457BF,0x6C636931,0xCA146285,0xFBFC7818,0x5D8B73AC,
    0x03A0A617,0xA5D7ADA3,0x943FB73E,0x3248BC8A,0xF7EF8204,0x519889B0,0x6070932D,0xC6079899,
    0x304FE870,0x9638E3C4,0xA7D0F959,0x01A7F2ED,0xC400CC63,0x6277C7D7,0x539FDD4A,0xF5E8D6FE,
    0x647E3AD9,0xC209316D,0xF3E12BF0,0x55962044,0x90311ECA,0x3646157E,0x07AE0FE3,0xA1D90457,
    0x579174BE,0xF1E67F0A,0xC00E6597,0x66796E23,0xA3DE50AD,0x05A95B19,0x34414184,0x92364A30,
  },

  {
    0x00000000,0xCCAA009E,0x4225077D,0x8E8F07E3,0x844A0EFA,0x48E00E64,0xC66F0987,0x0AC50919,
    0xD3E51BB5,0x1F4F1B2B,0x91C01CC8,0x5D6A1C56,0x57AF154F,0x9B0515D1,0x158A1232,0xD92012AC,
    0x7CBB312B,0xB01131B5,0x3E9E3656,0xF23436C8,0xF8F13FD1,0x345B3F4F,0xBAD438AC,0x767E3832,
    0xAF5E2A9E,0x63F42A00,0xED7B2DE3,0x21D12D7D,0x2B142464,0xE7BE24FA,0x69312319,0xA59B2387,
    0xF9766256,0x35DC62C8,0xBB53652B,0x77F965B5,0x7D3C6CAC,0xB1966C32,0x3F196BD1,0xF3B36B4F,
    0x2A9379E3,0xE639797D,0x68B67E9E,0xA41C7E00,0xAED97719,0x62737787,0xECFC7064,0x205670FA,
    0x85CD537D,0x496753E3,0xC7E85400,0x0B42549E,0x01875D87,0xCD2D5D19,0x43A25AFA,0x8F085A64,
    0x562848C8,0x9A824856,0x140D4FB5,0xD8A74F2B,0xD2624632,0x1EC846AC,0x9047414F,0x5CED41D1,
    0x299DC2ED,0xE537C273,0x6BB8C590,0xA712C50E,0xADD7CC17,0x617DCC89,0xEFF2CB6A,0x2358CBF4,
    0xFA78D958,0x36D2D9C6,0xB85DDE25,0x74F7DEBB,0x7E32D7A2,0xB298D73C,0x3C17D0DF,0xF0BDD041,
    0x5526F3C6,0x998CF358,0x1703F4BB,0xDBA9F425,0xD16CFD3C,0x1DC6FDA2,0x9349FA41,0x5FE3FADF,
    0x86C3E873,0x4A69E8ED,0xC4E6EF0E,0x084CEF90,0x0289E689,0xCE23E617,0x40ACE1F4,0x8C06E16A,
    0xD0EBA0BB,0x1C41A025,0x92CEA7C6,0x5E64A758,0x54A1AE41,0x980BAEDF,0x1684A93C,0xDA2EA9A2,
    0x030EBB0E,0xCFA4BB90,0x412BBC73,0x8D81BCED,0x8744B5F4,0x4BEEB56A,0xC561B289,0x09CBB217,
    0xAC509190,0x60FA910E,0xEE7596ED,0x22DF9673,0x281A9F6A,0xE4B09FF4,0x6A3F9817,0xA6959889,
    0x7FB58A25,0xB31F8ABB,0x3D908D58,0xF13A8DC6,0xFBFF84DF,0x37558441,0xB9DA83A2,0x7570833C,
    0x533B85DA,0x9F918544,0x111E82A7,0xDDB48239,0xD7718B20,0x1BDB8BBE,0x95548C5D,0x59FE8CC3,
    0x80DE9E6F,0x4C749EF1,0xC2FB9912,0x0E51998C,0x04949095,0xC83E900B,0x46B197E8,0x8A1B9776,
    0x2F80B4F1,0xE32AB46F,0x6DA5B38C,0xA10FB312,0xABCABA0B,0x6760BA95,0xE9EFBD76,0x2545BDE8,
    0xFC65AF44,0x30CFAFDA,0xBE40A839,0x72EAA8A7,0x782FA1BE,0xB485A120,0x3A0AA6C3,0xF6A0A65D,
    0xAA4DE78C,0x66E7E712,0xE868E0F1,0x24C2E06F,0x2E07E976,0xE2ADE9E8,0x6C22EE0B,0xA088EE95,
    0x79A8FC39,0xB502FCA7,0x3B8DFB44,0xF727FBDA,0xFDE2F2C3,0x3148F25D,0xBFC7F5BE,0x736DF520,
    0xD6F6D6A7,0x1A5CD639,0x94D3D1DA,0x5879D144,0x52BCD85D,0x9E16D8C3,0x1099DF20,0xDC33DFBE,
    0x0513CD12,0xC9B9CD8C,0x4736CA6F,0x8B9CCAF1,0x8159C3E8,0x4DF3C376,0xC37CC495,0x0FD6C40B,
    0x7AA64737,0xB60C47A9,0x3883404A,0xF42940D4,0xFEEC49CD,0x32464953,0xBCC94EB0,0x70634E2E,
    0xA9435C82,0x65E95C1C,0xEB665BFF,0x27CC5B61,0x2D095278,0xE1A352E6,0x6F2C5505,0xA386559B,
    0x061D761C,0xCAB77682,0x44387161,0x889271FF,0x825778E6,0x4EFD7878,0xC0727F9B,0x0CD87F05,
    0xD5F86DA9,0x19526D37,0x97DD6AD4,0x5B776A4A,0x51B26353,0x9D1863CD,0x1397642E,0xDF3D64B0,
    0x83D02561,0x4F7A25FF,0xC1F5221C,0x0D5F2282,0x079A2B9B,0xCB302B05,0x45BF2CE6,0x89152C78,
    0x50353ED4,0x9C9F3E4A,0x121039A9,0xDEBA3937,0xD47F302E,0x18D530B0,0x965A3753,0x5AF037CD,
    0xFF6B144A,0x33C114D4,0xBD4E1337,0x71E413A9,0x7B211AB0,0xB78B1A2E,0x39041DCD,0xF5AE1D53,
    0x2C8E0FFF,0xE0240F61,0x6EAB0882,0xA201081C,0xA8C40105,0x646E019B,0xEAE10678,0x264B06E6,
  }
#endif // CRC32_USE_LOOKUP_TABLE_SLICING_BY_8 || CRC32_USE_LOOKUP_TABLE_SLICING_BY_16
#ifdef CRC32_USE_LOOKUP_TABLE_SLICING_BY_16
  // beyond this point only relevant for Slicing-by-16
  ,{
    0x00000000,0x177B1443,0x2EF62886,0x398D3CC5,0x5DEC510C,0x4A97454F,0x731A798A,0x64616DC9,
    0xBBD8A218,0xACA3B65B,0x952E8A9E,0x82559EDD,0xE634F314,0xF14FE757,0xC8C2DB92,0xDFB9CFD1,
    0xACC04271,0xBBBB5632,0x82366AF7,0x954D7EB4,0xF12C137D,0xE657073E,0xDFDA3BFB,0xC8A12FB8,
    0x1718E069,0x0063F42A,0x39EEC8EF,0x2E95DCAC,0x4AF4B165,0x5D8FA526,0x640299E3,0x73798DA0,
    0x82F182A3,0x958A96E0,0xAC07AA25,0xBB7CBE66,0xDF1DD3AF,0xC866C7EC,0xF1EBFB29,0xE690EF6A,
    0x392920BB,0x2E5234F8,0x17DF083D,0x00A41C7E,0x64C571B7,0x73BE65F4,0x4A335931,0x5D484D72,
    0x2E31C0D2,0x394AD491,0x00C7E854,0x17BCFC17,0x73DD91DE,0x64A6859D,0x5D2BB958,0x4A50AD1B,
    0x95E962CA,0x82927689,0xBB1F4A4C,0xAC645E0F,0xC80533C6,0xDF7E2785,0xE6F31B40,0xF1880F03,
    0xDE920307,0xC9E91744,0xF0642B81,0xE71F3FC2,0x837E520B,0x94054648,0xAD887A8D,0xBAF36ECE,
    0x654AA11F,0x7231B55C,0x4BBC8999,0x5CC79DDA,0x38A6F013,0x2FDDE450,0x1650D895,0x012BCCD6,
    0x72524176,0x65295535,0x5CA469F0,0x4BDF7DB3,0x2FBE107A,0x38C50439,0x014838FC,0x16332CBF,
    0xC98AE36E,0xDEF1F72D,0xE77CCBE8,0xF007DFAB,0x9466B262,0x831DA621,0xBA909AE4,0xADEB8EA7,
    0x5C6381A4,0x4B1895E7,0x7295A922,0x65EEBD61,0x018FD0A8,0x16F4C4EB,0x2F79F82E,0x3802EC6D,
    0xE7BB23BC,0xF0C037FF,0xC94D0B3A,0xDE361F79,0xBA5772B0,0xAD2C66F3,0x94A15A36,0x83DA4E75,
    0xF0A3C3D5,0xE7D8D796,0xDE55EB53,0xC92EFF10,0xAD4F92D9,0xBA34869A,0x83B9BA5F,0x94C2AE1C,
    0x4B7B61CD,0x5C00758E,0x658D494B,0x72F65D08,0x169730C1,0x01EC2482,0x38611847,0x2F1A0C04,
    0x6655004F,0x712E140C,0x48A328C9,0x5FD83C8A,0x3BB95143,0x2CC24500,0x154F79C5,0x02346D86,
    0xDD8DA257,0xCAF6B614,0xF37B8AD1,0xE4009E92,0x8061F35B,0x971AE718,0xAE97DBDD,0xB9ECCF9E,
    0xCA95423E,0xDDEE567D,0xE4636AB8,0xF3187EFB,0x97791332,0x80020771,0xB98F3BB4,0xAEF42FF7,
    0x714DE026,0x6636F465,0x5FBBC8A0,0x48C0DCE3,0x2CA1B12A,0x3BDAA569,0x025799AC,0x152C8DEF,
    0xE4A482EC,0xF3DF96AF,0xCA52AA6A,0xDD29BE29,0xB948D3E0,0xAE33C7A3,0x97BEFB66,0x80C5EF25,
    0x5F7C20F4,0x480734B7,0x718A0872,0x66F11C31,0x029071F8,0x15EB65BB,0x2C66597E,0x3B1D4D3D,
    0x4864C09D,0x5F1FD4DE,0x6692E81B,0x71E9FC58,0x15889191,0x02F385D2,0x3B7EB917,0x2C05AD54,
    0xF3BC6285,0xE4C776C6,0xDD4A4A03,0xCA315E40,0xAE503389,0xB92B27CA,0x80A61B0F,0x97DD0F4C,
    0xB8C70348,0xAFBC170B,0x96312BCE,0x814A3F8D,0xE52B5244,0xF2504607,0xCBDD7AC2,0xDCA66E81,
    0x031FA150,0x1464B513,0x2DE989D6,0x3A929D95,0x5EF3F05C,0x4988E41F,0x7005D8DA,0x677ECC99,
    0x14074139,0x037C557A,0x3AF169BF,0x2D8A7DFC,0x49EB1035,0x5E900476,0x671D38B3,0x70662CF0,
    0xAFDFE321,0xB8A4F762,0x8129CBA7,0x9652DFE4,0xF233B22D,0xE548A66E,0xDCC59AAB,0xCBBE8EE8,
    0x3A3681EB,0x2D4D95A8,0x14C0A96D,0x03BBBD2E,0x67DAD0E7,0x70A1C4A4,0x492CF861,0x5E57EC22,
    0x81EE23F3,0x969537B0,0xAF180B75,0xB8631F36,0xDC0272FF,0xCB7966BC,0xF2F45A79,0xE58F4E3A,
    0x96F6C39A,0x818DD7D9,0xB800EB1C,0xAF7BFF5F,0xCB1A9296,0xDC6186D5,0xE5ECBA10,0xF297AE53,
    0x2D2E6182,0x3A5575C1,0x03D84904,0x14A35D47,0x70C2308E,0x67B924CD,0x5E341808,0x494F0C4B,
  },

  {
    0x00000000,0xEFC26B3E,0x04F5D03D,0xEB37BB03,0x09EBA07A,0xE629CB44,0x0D1E7047,0xE2DC1B79,
    0x13D740F4,0xFC152BCA,0x172290C9,0xF8E0FBF7,0x1A3CE08E,0xF5FE8BB0,0x1EC930B3,0xF10B5B8D,
    0x27AE81E8,0xC86CEAD6,0x235B51D5,0xCC993AEB,0x2E452192,0xC1874AAC,0x2AB0F1AF,0xC5729A91,
    0x3479C11C,0xDBBBAA22,0x308C1121,0xDF4E7A1F,0x3D926166,0xD2500A58,0x3967B15B,0xD6A5DA65,
    0x4F5D03D0,0xA09F68EE,0x4BA8D3ED,0xA46AB8D3,0x46B6A3AA,0xA974C894,0x42437397,0xAD8118A9,
    0x5C8A4324,0xB348281A,0x587F9319,0xB7BDF827,0x5561E35E,0xBAA38860,0x51943363,0xBE56585D,
    0x68F38238,0x8731E906,0x6C065205,0x83C4393B,0x61182242,0x8EDA497C,0x65EDF27F,0x8A2F9941,
    0x7B24C2CC,0x94E6A9F2,0x7FD112F1,0x901379CF,0x72CF62B6,0x9D0D0988,0x763AB28B,0x99F8D9B5,
    0x9EBA07A0,0x71786C9E,0x9A4FD79D,0x758DBCA3,0x9751A7DA,0x7893CCE4,0x93A477E7,0x7C661CD9,
    0x8D6D4754,0x62AF2C6A,0x89989769,0x665AFC57,0x8486E72E,0x6B448C10,0x80733713,0x6FB15C2D,
    0xB9148648,0x56D6ED76,0xBDE15675,0x52233D4B,0xB0FF2632,0x5F3D4D0C,0xB40AF60F,0x5BC89D31,
    0xAAC3C6BC,0x4501AD82,0xAE361681,0x41F47DBF,0xA32866C6,0x4CEA0DF8,0xA7DDB6FB,0x481FDDC5,
    0xD1E70470,0x3E256F4E,0xD512D44D,0x3AD0BF73,0xD80CA40A,0x37CECF34,0xDCF97437,0x333B1F09,
    0xC2304484,0x2DF22FBA,0xC6C594B9,0x2907FF87,0xCBDBE4FE,0x24198FC0,0xCF2E34C3,0x20EC5FFD,
    0xF6498598,0x198BEEA6,0xF2BC55A5,0x1D7E3E9B,0xFFA225E2,0x10604EDC,0xFB57F5DF,0x14959EE1,
    0xE59EC56C,0x0A5CAE52,0xE16B1551,0x0EA97E6F,0xEC756516,0x03B70E28,0xE880B52B,0x0742DE15,
    0xE6050901,0x09C7623F,0xE2F0D93C,0x0D32B202,0xEFEEA97B,0x002CC245,0xEB1B7946,0x04D91278,
    0xF5D249F5,0x1A1022CB,0xF12799C8,0x1EE5F2F6,0xFC39E98F,0x13FB82B1,0xF8CC39B2,0x170E528C,
    0xC1AB88E9,0x2E69E3D7,0xC55E58D4,0x2A9C33EA,0xC8402893,0x278243AD,0xCCB5F8AE,0x23779390,
    0xD27CC81D,0x3DBEA323,0xD6891820,0x394B731E,0xDB976867,0x34550359,0xDF62B85A,0x30A0D364,
    0xA9580AD1,0x469A61EF,0xADADDAEC,0x426FB1D2,0xA0B3AAAB,0x4F71C195,0xA4467A96,0x4B8411A8,
    0xBA8F4A25,0x554D211B,0xBE7A9A18,0x51B8F126,0xB364EA5F,0x5CA68161,0xB7913A62,0x5853515C,
    0x8EF68B39,0x6134E007,0x8A035B04,0x65C1303A,0x871D2B43,0x68DF407D,0x83E8FB7E,0x6C2A9040,
    0x9D21CBCD,0x72E3A0F3,0x99D41BF0,0x761670CE,0x94CA6BB7,0x7B080089,0x903FBB8A,0x7FFDD0B4,
    0x78BF0EA1,0x977D659F,0x7C4ADE9C,0x9388B5A2,0x7154AEDB,0x9E96C5E5,0x75A17EE6,0x9A6315D8,
    0x6B684E55,0x84AA256B,0x6F9D9E68,0x805FF556,0x6283EE2F,0x8D418511,0x66763E12,0x89B4552C,
    0x5F118F49,0xB0D3E477,0x5BE45F74,0xB426344A,0x56FA2F33,0xB938440D,0x520FFF0E,0xBDCD9430,
    0x4CC6CFBD,0xA304A483,0x48331F80,0xA7F174BE,0x452D6FC7,0xAAEF04F9,0x41D8BFFA,0xAE1AD4C4,
    0x37E20D71,0xD820664F,0x3317DD4C,0xDCD5B672,0x3E09AD0B,0xD1CBC635,0x3AFC7D36,0xD53E1608,
    0x24354D85,0xCBF726BB,0x20C09DB8,0xCF02F686,0x2DDEEDFF,0xC21C86C1,0x292B3DC2,0xC6E956FC,
    0x104C8C99,0xFF8EE7A7,0x14B95CA4,0xFB7B379A,0x19A72CE3,0xF66547DD,0x1D52FCDE,0xF29097E0,
    0x039BCC6D,0xEC59A753,0x076E1C50,0xE8AC776E,0x0A706C17,0xE5B20729,0x0E85BC2A,0xE147D714,
  },

  {
    0x00000000,0xC18EDFC0,0x586CB9C1,0x99E26601,0xB0D97382,0x7157AC42,0xE8B5CA43,0x293B1583,
    0xBAC3E145,0x7B4D3E85,0xE2AF5884,0x23218744,0x0A1A92C7,0xCB944D07,0x52762B06,0x93F8F4C6,
    0xAEF6C4CB,0x6F781B0B,0xF69A7D0A,0x3714A2CA,0x1E2FB749,0xDFA16889,0x46430E88,0x87CDD148,
    0x1435258E,0xD5BBFA4E,0x4C599C4F,0x8DD7438F,0xA4EC560C,0x656289CC,0xFC80EFCD,0x3D0E300D,
    0x869C8FD7,0x47125017,0xDEF03616,0x1F7EE9D6,0x3645FC55,0xF7CB2395,0x6E294594,0xAFA79A54,
    0x3C5F6E92,0xFDD1B152,0x6433D753,0xA5BD0893,0x8C861D10,0x4D08C2D0,0xD4EAA4D1,0x15647B11,
    0x286A4B1C,0xE9E494DC,0x7006F2DD,0xB1882D1D,0x98B3389E,0x593DE75E,0xC0DF815F,0x01515E9F,
    0x92A9AA59,0x53277599,0xCAC51398,0x0B4BCC58,0x2270D9DB,0xE3FE061B,0x7A1C601A,0xBB92BFDA,
    0xD64819EF,0x17C6C62F,0x8E24A02E,0x4FAA7FEE,0x66916A6D,0xA71FB5AD,0x3EFDD3AC,0xFF730C6C,
    0x6C8BF8AA,0xAD05276A,0x34E7416B,0xF5699EAB,0xDC528B28,0x1DDC54E8,0x843E32E9,0x45B0ED29,
    0x78BEDD24,0xB93002E4,0x20D264E5,0xE15CBB25,0xC867AEA6,0x09E97166,0x900B1767,0x5185C8A7,
    0xC27D3C61,0x03F3E3A1,0x9A1185A0,0x5B9F5A60,0x72A44FE3,0xB32A9023,0x2AC8F622,0xEB4629E2,
    0x50D49638,0x915A49F8,0x08B82FF9,0xC936F039,0xE00DE5BA,0x21833A7A,0xB8615C7B,0x79EF83BB,
    0xEA17777D,0x2B99A8BD,0xB27BCEBC,0x73F5117C,0x5ACE04FF,0x9B40DB3F,0x02A2BD3E,0xC32C62FE,
    0xFE2252F3,0x3FAC8D33,0xA64EEB32,0x67C034F2,0x4EFB2171,0x8F75FEB1,0x169798B0,0xD7194770,
    0x44E1B3B6,0x856F6C76,0x1C8D0A77,0xDD03D5B7,0xF438C034,0x35B61FF4,0xAC5479F5,0x6DDAA635,
    0x77E1359F,0xB66FEA5F,0x2F8D8C5E,0xEE03539E,0xC738461D,0x06B699DD,0x9F54FFDC,0x5EDA201C,
    0xCD22D4DA,0x0CAC0B1A,0x954E6D1B,0x54C0B2DB,0x7DFBA758,0xBC757898,0x25971E99,0xE419C159,
    0xD917F154,0x18992E94,0x817B4895,0x40F59755,0x69CE82D6,0xA8405D16,0x31A23B17,0xF02CE4D7,
    0x63D41011,0xA25ACFD1,0x3BB8A9D0,0xFA367610,0xD30D6393,0x1283BC53,0x8B61DA52,0x4AEF0592,
    0xF17DBA48,0x30F36588,0xA9110389,0x689FDC49,0x41A4C9CA,0x802A160A,0x19C8700B,0xD846AFCB,
    0x4BBE5B0D,0x8A3084CD,0x13D2E2CC,0xD25C3D0C,0xFB67288F,0x3AE9F74F,0xA30B914E,0x62854E8E,
    0x5F8B7E83,0x9E05A143,0x07E7C742,0xC6691882,0xEF520D01,0x2EDCD2C1,0xB73EB4C0,0x76B06B00,
    0xE5489FC6,0x24C64006,0xBD242607,0x7CAAF9C7,0x5591EC44,0x941F3384,0x0DFD5585,0xCC738A45,
    0xA1A92C70,0x6027F3B0,0xF9C595B1,0x384B4A71,0x11705FF2,0xD0FE8032,0x491CE633,0x889239F3,
    0x1B6ACD35,0xDAE412F5,0x430674F4,0x8288AB34,0xABB3BEB7,0x6A3D6177,0xF3DF0776,0x3251D8B6,
    0x0F5FE8BB,0xCED1377B,0x5733517A,0x96BD8EBA,0xBF869B39,0x7E0844F9,0xE7EA22F8,0x2664FD38,
    0xB59C09FE,0x7412D63E,0xEDF0B03F,0x2C7E6FFF,0x05457A7C,0xC4CBA5BC,0x5D29C3BD,0x9CA71C7D,
    0x2735A3A7,0xE6BB7C67,0x7F591A66,0xBED7C5A6,0x97ECD025,0x56620FE5,0xCF8069E4,0x0E0EB624,
    0x9DF642E2,0x5C789D22,0xC59AFB23,0x041424E3,0x2D2F3160,0xECA1EEA0,0x754388A1,0xB4CD5761,
    0x89C3676C,0x484DB8AC,0xD1AFDEAD,0x1021016D,0x391A14EE,0xF894CB2E,0x6176AD2F,0xA0F872EF,
    0x33008629,0xF28E59E9,0x6B6C3FE8,0xAAE2E028,0x83D9F5AB,0x42572A6B,0xDBB54C6A,0x1A3B93AA,
  },

  {
    0x00000000,0x9BA54C6F,0xEC3B9E9F,0x779ED2F0,0x03063B7F,0x98A37710,0xEF3DA5E0,0x7498E98F,
    0x060C76FE,0x9DA93A91,0xEA37E861,0x7192A40E,0x050A4D81,0x9EAF01EE,0xE931D31E,0x72949F71,
    0x0C18EDFC,0x97BDA193,0xE0237363,0x7B863F0C,0x0F1ED683,0x94BB9AEC,0xE325481C,0x78800473,
    0x0A149B02,0x91B1D76D,0xE62F059D,0x7D8A49F2,0x0912A07D,0x92B7EC12,0xE5293EE2,0x7E8C728D,
    0x1831DBF8,0x83949797,0xF40A4567,0x6FAF0908,0x1B37E087,0x8092ACE8,0xF70C7E18,0x6CA93277,
    0x1E3DAD06,0x8598E169,0xF2063399,0x69A37FF6,0x1D3B9679,0x869EDA16,0xF10008E6,0x6AA54489,
    0x14293604,0x8F8C7A6B,0xF812A89B,0x63B7E4F4,0x172F0D7B,0x8C8A4114,0xFB1493E4,0x60B1DF8B,
    0x122540FA,0x89800C95,0xFE1EDE65,0x65BB920A,0x11237B85,0x8A8637EA,0xFD18E51A,0x66BDA975,
    0x3063B7F0,0xABC6FB9F,0xDC58296F,0x47FD6500,0x33658C8F,0xA8C0C0E0,0xDF5E1210,0x44FB5E7F,
    0x366FC10E,0xADCA8D61,0xDA545F91,0x41F113FE,0x3569FA71,0xAECCB61E,0xD95264EE,0x42F72881,
    0x3C7B5A0C,0xA7DE1663,0xD040C493,0x4BE588FC,0x3F7D6173,0xA4D82D1C,0xD346FFEC,0x48E3B383,
    0x3A772CF2,0xA1D2609D,0xD64CB26D,0x4DE9FE02,0x3971178D,0xA2D45BE2,0xD54A8912,0x4EEFC57D,
    0x28526C08,0xB3F72067,0xC469F297,0x5FCCBEF8,0x2B545777,0xB0F11B18,0xC76FC9E8,0x5CCA8587,
    0x2E5E1AF6,0xB5FB5699,0xC2658469,0x59C0C806,0x2D582189,0xB6FD6DE6,0xC163BF16,0x5AC6F379,
    0x244A81F4,0xBFEFCD9B,0xC8711F6B,0x53D45304,0x274CBA8B,0xBCE9F6E4,0xCB772414,0x50D2687B,
    0x2246F70A,0xB9E3BB65,0xCE7D6995,0x55D825FA,0x2140CC75,0xBAE5801A,0xCD7B52EA,0x56DE1E85,
    0x60C76FE0,0xFB62238F,0x8CFCF17F,0x1759BD10,0x63C1549F,0xF86418F0,0x8FFACA00,0x145F866F,
    0x66CB191E,0xFD6E5571,0x8AF08781,0x1155CBEE,0x65CD2261,0xFE686E0E,0x89F6BCFE,0x1253F091,
    0x6CDF821C,0xF77ACE73,0x80E41C83,0x1B4150EC,0x6FD9B963,0xF47CF50C,0x83E227FC,0x18476B93,
    0x6AD3F4E2,0xF176B88D,0x86E86A7D,0x1D4D2612,0x69D5CF9D,0xF27083F2,0x85EE5102,0x1E4B1D6D,
    0x78F6B418,0xE353F877,0x94CD2A87,0x0F6866E8,0x7BF08F67,0xE055C308,0x97CB11F8,0x0C6E5D97,
    0x7EFAC2E6,0xE55F8E89,0x92C15C79,0x09641016,0x7DFCF999,0xE659B5F6,0x91C76706,0x0A622B69,
    0x74EE59E4,0xEF4B158B,0x98D5C77B,0x03708B14,0x77E8629B,0xEC4D2EF4,0x9BD3FC04,0x0076B06B,
    0x72E22F1A,0xE9476375,0x9ED9B185,0x057CFDEA,0x71E41465,0xEA41580A,0x9DDF8AFA,0x067AC695,
    0x50A4D810,0xCB01947F,0xBC9F468F,0x273A0AE0,0x53A2E36F,0xC807AF00,0xBF997DF0,0x243C319F,
    0x56A8AEEE,0xCD0DE281,0xBA933071,0x21367C1E,0x55AE9591,0xCE0BD9FE,0xB9950B0E,0x22304761,
    0x5CBC35EC,0xC7197983,0xB087AB73,0x2B22E71C,0x5FBA0E93,0xC41F42FC,0xB381900C,0x2824DC63,
    0x5AB04312,0xC1150F7D,0xB68BDD8D,0x2D2E91E2,0x59B6786D,0xC2133402,0xB58DE6F2,0x2E28AA9D,
    0x489503E8,0xD3304F87,0xA4AE9D77,0x3F0BD118,0x4B933897,0xD03674F8,0xA7A8A608,0x3C0DEA67,
    0x4E997516,0xD53C3979,0xA2A2EB89,0x3907A7E6,0x4D9F4E69,0xD63A0206,0xA1A4D0F6,0x3A019C99,
    0x448DEE14,0xDF28A27B,0xA8B6708B,0x33133CE4,0x478BD56B,0xDC2E9904,0xABB04BF4,0x3015079B,
    0x428198EA,0xD924D485,0xAEBA0675,0x351F4A1A,0x4187A395,0xDA22EFFA,0xADBC3D0A,0x36197165,
  },

  {
    0x00000000,0xDD96D985,0x605CB54B,0xBDCA6CCE,0xC0B96A96,0x1D2FB313,0xA0E5DFDD,0x7D730658,
    0x5A03D36D,0x87950AE8,0x3A5F6626,0xE7C9BFA3,0x9ABAB9FB,0x472C607E,0xFAE60CB0,0x2770D535,
    0xB407A6DA,0x69917F5F,0xD45B1391,0x09CDCA14,0x74BECC4C,0xA92815C9,0x14E27907,0xC974A082,
    0xEE0475B7,0x3392AC32,0x8E58C0FC,0x53CE1979,0x2EBD1F21,0xF32BC6A4,0x4EE1AA6A,0x937773EF,
    0xB37E4BF5,0x6EE89270,0xD322FEBE,0x0EB4273B,0x73C72163,0xAE51F8E6,0x139B9428,0xCE0D4DAD,
    0xE97D9898,0x34EB411D,0x89212DD3,0x54B7F456,0x29C4F20E,0xF4522B8B,0x49984745,0x940E9EC0,
    0x0779ED2F,0xDAEF34AA,0x67255864,0xBAB381E1,0xC7C087B9,0x1A565E3C,0xA79C32F2,0x7A0AEB77,
    0x5D7A3E42,0x80ECE7C7,0x3D268B09,0xE0B0528C,0x9DC354D4,0x40558D51,0xFD9FE19F,0x2009381A,
    0xBD8D91AB,0x601B482E,0xDDD124E0,0x0047FD65,0x7D34FB3D,0xA0A222B8,0x1D684E76,0xC0FE97F3,
    0xE78E42C6,0x3A189B43,0x87D2F78D,0x5A442E08,0x27372850,0xFAA1F1D5,0x476B9D1B,0x9AFD449E,
    0x098A3771,0xD41CEEF4,0x69D6823A,0xB4405BBF,0xC9335DE7,0x14A58462,0xA96FE8AC,0x74F93129,
    0x5389E41C,0x8E1F3D99,0x33D55157,0xEE4388D2,0x93308E8A,0x4EA6570F,0xF36C3BC1,0x2EFAE244,
    0x0EF3DA5E,0xD36503DB,0x6EAF6F15,0xB339B690,0xCE4AB0C8,0x13DC694D,0xAE160583,0x7380DC06,
    0x54F00933,0x8966D0B6,0x34ACBC78,0xE93A65FD,0x944963A5,0x49DFBA20,0xF415D6EE,0x29830F6B,
    0xBAF47C84,0x6762A501,0xDAA8C9CF,0x073E104A,0x7A4D1612,0xA7DBCF97,0x1A11A359,0xC7877ADC,
    0xE0F7AFE9,0x3D61766C,0x80AB1AA2,0x5D3DC327,0x204EC57F,0xFDD81CFA,0x40127034,0x9D84A9B1,
    0xA06A2517,0x7DFCFC92,0xC036905C,0x1DA049D9,0x60D34F81,0xBD459604,0x008FFACA,0xDD19234F,
    0xFA69F67A,0x27FF2FFF,0x9A354331,0x47A39AB4,0x3AD09CEC,0xE7464569,0x5A8C29A7,0x871AF022,
    0x146D83CD,0xC9FB5A48,0x74313686,0xA9A7EF03,0xD4D4E95B,0x094230DE,0xB4885C10,0x691E8595,
    0x4E6E50A0,0x93F88925,0x2E32E5EB,0xF3A43C6E,0x8ED73A36,0x5341E3B3,0xEE8B8F7D,0x331D56F8,
    0x13146EE2,0xCE82B767,0x7348DBA9,0xAEDE022C,0xD3AD0474,0x0E3BDDF1,0xB3F1B13F,0x6E6768BA,
    0x4917BD8F,0x9481640A,0x294B08C4,0xF4DDD141,0x89AED719,0x54380E9C,0xE9F26252,0x3464BBD7,
    0xA713C838,0x7A8511BD,0xC74F7D73,0x1AD9A4F6,0x67AAA2AE,0xBA3C7B2B,0x07F617E5,0xDA60CE60,
    0xFD101B55,0x2086C2D0,0x9D4CAE1E,0x40DA779B,0x3DA971C3,0xE03FA846,0x5DF5C488,0x80631D0D,
    0x1DE7B4BC,0xC0716D39,0x7DBB01F7,0xA02DD872,0xDD5EDE2A,0x00C807AF,0xBD026B61,0x6094B2E4,
    0x47E467D1,0x9A72BE54,0x27B8D29A,0xFA2E0B1F,0x875D0D47,0x5ACBD4C2,0xE701B80C,0x3A976189,
    0xA9E01266,0x7476CBE3,0xC9BCA72D,0x142A7EA8,0x695978F0,0xB4CFA175,0x0905CDBB,0xD493143E,
    0xF3E3C10B,0x2E75188E,0x93BF7440,0x4E29ADC5,0x335AAB9D,0xEECC7218,0x53061ED6,0x8E90C753,
    0xAE99FF49,0x730F26CC,0xCEC54A02,0x13539387,0x6E2095DF,0xB3B64C5A,0x0E7C2094,0xD3EAF911,
    0xF49A2C24,0x290CF5A1,0x94C6996F,0x495040EA,0x342346B2,0xE9B59F37,0x547FF3F9,0x89E92A7C,
    0x1A9E5993,0xC7088016,0x7AC2ECD8,0xA754355D,0xDA273305,0x07B1EA80,0xBA7B864E,0x67ED5FCB,
    0x409D8AFE,0x9D0B537B,0x20C13FB5,0xFD57E630,0x8024E068,0x5DB239ED,0xE0785523,0x3DEE8CA6,
  },

  {
    0x00000000,0x9D0FE176,0xE16EC4AD,0x7C6125DB,0x19AC8F1B,0x84A36E6D,0xF8C24BB6,0x65CDAAC0,
    0x33591E36,0xAE56FF40,0xD237DA9B,0x4F383BED,0x2AF5912D,0xB7FA705B,0xCB9B5580,0x5694B4F6,
    0x66B23C6C,0xFBBDDD1A,0x87DCF8C1,0x1AD319B7,0x7F1EB377,0xE2115201,0x9E7077DA,0x037F96AC,
    0x55EB225A,0xC8E4C32C,0xB485E6F7,0x298A0781,0x4C47AD41,0xD1484C37,0xAD2969EC,0x3026889A,
    0xCD6478D8,0x506B99AE,0x2C0ABC75,0xB1055D03,0xD4C8F7C3,0x49C716B5,0x35A6336E,0xA8A9D218,
    0xFE3D66EE,0x63328798,0x1F53A243,0x825C4335,0xE791E9F5,0x7A9E0883,0x06FF2D58,0x9BF0CC2E,
    0xABD644B4,0x36D9A5C2,0x4AB88019,0xD7B7616F,0xB27ACBAF,0x2F752AD9,0x53140F02,0xCE1BEE74,
    0x988F5A82,0x0580BBF4,0x79E19E2F,0xE4EE7F59,0x8123D599,0x1C2C34EF,0x604D1134,0xFD42F042,
    0x41B9F7F1,0xDCB61687,0xA0D7335C,0x3DD8D22A,0x581578EA,0xC51A999C,0xB97BBC47,0x24745D31,
    0x72E0E9C7,0xEFEF08B1,0x938E2D6A,0x0E81CC1C,0x6B4C66DC,0xF64387AA,0x8A22A271,0x172D4307,
    0x270BCB9D,0xBA042AEB,0xC6650F30,0x5B6AEE46,0x3EA74486,0xA3A8A5F0,0xDFC9802B,0x42C6615D,
    0x1452D5AB,0x895D34DD,0xF53C1106,0x6833F070,0x0DFE5AB0,0x90F1BBC6,0xEC909E1D,0x719F7F6B,
    0x8CDD8F29,0x11D26E5F,0x6DB34B84,0xF0BCAAF2,0x95710032,0x087EE144,0x741FC49F,0xE91025E9,
    0xBF84911F,0x228B7069,0x5EEA55B2,0xC3E5B4C4,0xA6281E04,0x3B27FF72,0x4746DAA9,0xDA493BDF,
    0xEA6FB345,0x77605233,0x0B0177E8,0x960E969E,0xF3C33C5E,0x6ECCDD28,0x12ADF8F3,0x8FA21985,
    0xD936AD73,0x44394C05,0x385869DE,0xA55788A8,0xC09A2268,0x5D95C31E,0x21F4E6C5,0xBCFB07B3,
    0x8373EFE2,0x1E7C0E94,0x621D2B4F,0xFF12CA39,0x9ADF60F9,0x07D0818F,0x7BB1A454,0xE6BE4522,
    0xB02AF1D4,0x2D2510A2,0x51443579,0xCC4BD40F,0xA9867ECF,0x34899FB9,0x48E8BA62,0xD5E75B14,
    0xE5C1D38E,0x78CE32F8,0x04AF1723,0x99A0F655,0xFC6D5C95,0x6162BDE3,0x1D039838,0x800C794E,
    0xD698CDB8,0x4B972CCE,0x37F60915,0xAAF9E863,0xCF3442A3,0x523BA3D5,0x2E5A860E,0xB3556778,
    0x4E17973A,0xD318764C,0xAF795397,0x3276B2E1,0x57BB1821,0xCAB4F957,0xB6D5DC8C,0x2BDA3DFA,
    0x7D4E890C,0xE041687A,0x9C204DA1,0x012FACD7,0x64E20617,0xF9EDE761,0x858CC2BA,0x188323CC,
    0x28A5AB56,0xB5AA4A20,0xC9CB6FFB,0x54C48E8D,0x3109244D,0xAC06C53B,0xD067E0E0,0x4D680196,
    0x1BFCB560,0x86F35416,0xFA9271CD,0x679D90BB,0x02503A7B,0x9F5FDB0D,0xE33EFED6,0x7E311FA0,
    0xC2CA1813,0x5FC5F965,0x23A4DCBE,0xBEAB3DC8,0xDB669708,0x4669767E,0x3A0853A5,0xA707B2D3,
    0xF1930625,0x6C9CE753,0x10FDC288,0x8DF223FE,0xE83F893E,0x75306848,0x09514D93,0x945EACE5,
    0xA478247F,0x3977C509,0x4516E0D2,0xD81901A4,0xBDD4AB64,0x20DB4A12,0x5CBA6FC9,0xC1B58EBF,
    0x97213A49,0x0A2EDB3F,0x764FFEE4,0xEB401F92,0x8E8DB552,0x13825424,0x6FE371FF,0xF2EC9089,
    0x0FAE60CB,0x92A181BD,0xEEC0A466,0x73CF4510,0x1602EFD0,0x8B0D0EA6,0xF76C2B7D,0x6A63CA0B,
    0x3CF77EFD,0xA1F89F8B,0xDD99BA50,0x40965B26,0x255BF1E6,0xB8541090,0xC435354B,0x593AD43D,
    0x691C5CA7,0xF413BDD1,0x8872980A,0x157D797C,0x70B0D3BC,0xEDBF32CA,0x91DE1711,0x0CD1F667,
    0x5A454291,0xC74AA3E7,0xBB2B863C,0x2624674A,0x43E9CD8A,0xDEE62CFC,0xA2870927,0x3F88E851,
  },

  {
    0x00000000,0xB9FBDBE8,0xA886B191,0x117D6A79,0x8A7C6563,0x3387BE8B,0x22FAD4F2,0x9B010F1A,
    0xCF89CC87,0x7672176F,0x670F7D16,0xDEF4A6FE,0x45F5A9E4,0xFC0E720C,0xED731875,0x5488C39D,
    0x44629F4F,0xFD9944A7,0xECE42EDE,0x551FF536,0xCE1EFA2C,0x77E521C4,0x66984BBD,0xDF639055,
    0x8BEB53C8,0x32108820,0x236DE259,0x9A9639B1,0x019736AB,0xB86CED43,0xA911873A,0x10EA5CD2,
    0x88C53E9E,0x313EE576,0x20438F0F,0x99B854E7,0x02B95BFD,0xBB428015,0xAA3FEA6C,0x13C43184,
    0x474CF219,0xFEB729F1,0xEFCA4388,0x56319860,0xCD30977A,0x74CB4C92,0x65B626EB,0xDC4DFD03,
    0xCCA7A1D1,0x755C7A39,0x64211040,0xDDDACBA8,0x46DBC4B2,0xFF201F5A,0xEE5D7523,0x57A6AECB,
    0x032E6D56,0xBAD5B6BE,0xABA8DCC7,0x1253072F,0x89520835,0x30A9D3DD,0x21D4B9A4,0x982F624C,
    0xCAFB7B7D,0x7300A095,0x627DCAEC,0xDB861104,0x40871E1E,0xF97CC5F6,0xE801AF8F,0x51FA7467,
    0x0572B7FA,0xBC896C12,0xADF4066B,0x140FDD83,0x8F0ED299,0x36F50971,0x27886308,0x9E73B8E0,
    0x8E99E432,0x37623FDA,0x261F55A3,0x9FE48E4B,0x04E58151,0xBD1E5AB9,0xAC6330C0,0x1598EB28,
    0x411028B5,0xF8EBF35D,0xE9969924,0x506D42CC,0xCB6C4DD6,0x7297963E,0x63EAFC47,0xDA1127AF,
    0x423E45E3,0xFBC59E0B,0xEAB8F472,0x53432F9A,0xC8422080,0x71B9FB68,0x60C49111,0xD93F4AF9,
    0x8DB78964,0x344C528C,0x253138F5,0x9CCAE31D,0x07CBEC07,0xBE3037EF,0xAF4D5D96,0x16B6867E,
    0x065CDAAC,0xBFA70144,0xAEDA6B3D,0x1721B0D5,0x8C20BFCF,0x35DB6427,0x24A60E5E,0x9D5DD5B6,
    0xC9D5162B,0x702ECDC3,0x6153A7BA,0xD8A87C52,0x43A97348,0xFA52A8A0,0xEB2FC2D9,0x52D41931,
    0x4E87F0BB,0xF77C2B53,0xE601412A,0x5FFA9AC2,0xC4FB95D8,0x7D004E30,0x6C7D2449,0xD586FFA1,
    0x810E3C3C,0x38F5E7D4,0x29888DAD,0x90735645,0x0B72595F,0xB28982B7,0xA3F4E8CE,0x1A0F3326,
    0x0AE56FF4,0xB31EB41C,0xA263DE65,0x1B98058D,0x80990A97,0x3962D17F,0x281FBB06,0x91E460EE,
    0xC56CA373,0x7C97789B,0x6DEA12E2,0xD411C90A,0x4F10C610,0xF6EB1DF8,0xE7967781,0x5E6DAC69,
    0xC642CE25,0x7FB915CD,0x6EC47FB4,0xD73FA45C,0x4C3EAB46,0xF5C570AE,0xE4B81AD7,0x5D43C13F,
    0x09CB02A2,0xB030D94A,0xA14DB333,0x18B668DB,0x83B767C1,0x3A4CBC29,0x2B31D650,0x92CA0DB8,
    0x8220516A,0x3BDB8A82,0x2AA6E0FB,0x935D3B13,0x085C3409,0xB1A7EFE1,0xA0DA8598,0x19215E70,
    0x4DA99DED,0xF4524605,0xE52F2C7C,0x5CD4F794,0xC7D5F88E,0x7E2E2366,0x6F53491F,0xD6A892F7,
    0x847C8BC6,0x3D87502E,0x2CFA3A57,0x9501E1BF,0x0E00EEA5,0xB7FB354D,0xA6865F34,0x1F7D84DC,
    0x4BF54741,0xF20E9CA9,0xE373F6D0,0x5A882D38,0xC1892222,0x7872F9CA,0x690F93B3,0xD0F4485B,
    0xC01E1489,0x79E5CF61,0x6898A518,0xD1637EF0,0x4A6271EA,0xF399AA02,0xE2E4C07B,0x5B1F1B93,
    0x0F97D80E,0xB66C03E6,0xA711699F,0x1EEAB277,0x85EBBD6D,0x3C106685,0x2D6D0CFC,0x9496D714,
    0x0CB9B558,0xB5426EB0,0xA43F04C9,0x1DC4DF21,0x86C5D03B,0x3F3E0BD3,0x2E4361AA,0x97B8BA42,
    0xC33079DF,0x7ACBA237,0x6BB6C84E,0xD24D13A6,0x494C1CBC,0xF0B7C754,0xE1CAAD2D,0x583176C5,
    0x48DB2A17,0xF120F1FF,0xE05D9B86,0x59A6406E,0xC2A74F74,0x7B5C949C,0x6A21FEE5,0xD3DA250D,
    0x8752E690,0x3EA93D78,0x2FD45701,0x962F8CE9,0x0D2E83F3,0xB4D5581B,0xA5A83262,0x1C53E98A,
  },

  {
    0x00000000,0xAE689191,0x87A02563,0x29C8B4F2,0xD4314C87,0x7A59DD16,0x539169E4,0xFDF9F875,
    0x73139F4F,0xDD7B0EDE,0xF4B3BA2C,0x5ADB2BBD,0xA722D3C8,0x094A4259,0x2082F6AB,0x8EEA673A,
    0xE6273E9E,0x484FAF0F,0x61871BFD,0xCFEF8A6C,0x32167219,0x9C7EE388,0xB5B6577A,0x1BDEC6EB,
    0x9534A1D1,0x3B5C3040,0x129484B2,0xBCFC1523,0x4105ED56,0xEF6D7CC7,0xC6A5C835,0x68CD59A4,
    0x173F7B7D,0xB957EAEC,0x909F5E1E,0x3EF7CF8F,0xC30E37FA,0x6D66A66B,0x44AE1299,0xEAC68308,
    0x642CE432,0xCA4475A3,0xE38CC151,0x4DE450C0,0xB01DA8B5,0x1E753924,0x37BD8DD6,0x99D51C47,
    0xF11845E3,0x5F70D472,0x76B86080,0xD8D0F111,0x25290964,0x8B4198F5,0xA2892C07,0x0CE1BD96,
    0x820BDAAC,0x2C634B3D,0x05ABFFCF,0xABC36E5E,0x563A962B,0xF85207BA,0xD19AB348,0x7FF222D9,
    0x2E7EF6FA,0x8016676B,0xA9DED399,0x07B64208,0xFA4FBA7D,0x54272BEC,0x7DEF9F1E,0xD3870E8F,
    0x5D6D69B5,0xF305F824,0xDACD4CD6,0x74A5DD47,0x895C2532,0x2734B4A3,0x0EFC0051,0xA09491C0,
    0xC859C864,0x663159F5,0x4FF9ED07,0xE1917C96,0x1C6884E3,0xB2001572,0x9BC8A180,0x35A03011,
    0xBB4A572B,0x1522C6BA,0x3CEA7248,0x9282E3D9,0x6F7B1BAC,0xC1138A3D,0xE8DB3ECF,0x46B3AF5E,
    0x39418D87,0x97291C16,0xBEE1A8E4,0x10893975,0xED70C100,0x43185091,0x6AD0E463,0xC4B875F2,
    0x4A5212C8,0xE43A8359,0xCDF237AB,0x639AA63A,0x9E635E4F,0x300BCFDE,0x19C37B2C,0xB7ABEABD,
    0xDF66B319,0x710E2288,0x58C6967A,0xF6AE07EB,0x0B57FF9E,0xA53F6E0F,0x8CF7DAFD,0x229F4B6C,
    0xAC752C56,0x021DBDC7,0x2BD50935,0x85BD98A4,0x784460D1,0xD62CF140,0xFFE445B2,0x518CD423,
    0x5CFDEDF4,0xF2957C65,0xDB5DC897,0x75355906,0x88CCA173,0x26A430E2,0x0F6C8410,0xA1041581,
    0x2FEE72BB,0x8186E32A,0xA84E57D8,0x0626C649,0xFBDF3E3C,0x55B7AFAD,0x7C7F1B5F,0xD2178ACE,
    0xBADAD36A,0x14B242FB,0x3D7AF609,0x93126798,0x6EEB9FED,0xC0830E7C,0xE94BBA8E,0x47232B1F,
    0xC9C94C25,0x67A1DDB4,0x4E696946,0xE001F8D7,0x1DF800A2,0xB3909133,0x9A5825C1,0x3430B450,
    0x4BC29689,0xE5AA0718,0xCC62B3EA,0x620A227B,0x9FF3DA0E,0x319B4B9F,0x1853FF6D,0xB63B6EFC,
    0x38D109C6,0x96B99857,0xBF712CA5,0x1119BD34,0xECE04541,0x4288D4D0,0x6B406022,0xC528F1B3,
    0xADE5A817,0x038D3986,0x2A458D74,0x842D1CE5,0x79D4E490,0xD7BC7501,0xFE74C1F3,0x501C5062,
    0xDEF63758,0x709EA6C9,0x5956123B,0xF73E83AA,0x0AC77BDF,0xA4AFEA4E,0x8D675EBC,0x230FCF2D,
    0x72831B0E,0xDCEB8A9F,0xF5233E6D,0x5B4BAFFC,0xA6B25789,0x08DAC618,0x211272EA,0x8F7AE37B,
    0x01908441,0xAFF815D0,0x8630A122,0x285830B3,0xD5A1C8C6,0x7BC95957,0x5201EDA5,0xFC697C34,
    0x94A42590,0x3ACCB401,0x130400F3,0xBD6C9162,0x40956917,0xEEFDF886,0xC7354C74,0x695DDDE5,
    0xE7B7BADF,0x49DF2B4E,0x60179FBC,0xCE7F0E2D,0x3386F658,0x9DEE67C9,0xB426D33B,0x1A4E42AA,
    0x65BC6073,0xCBD4F1E2,0xE21C4510,0x4C74D481,0xB18D2CF4,0x1FE5BD65,0x362D0997,0x98459806,
    0x16AFFF3C,0xB8C76EAD,0x910FDA5F,0x3F674BCE,0xC29EB3BB,0x6CF6222A,0x453E96D8,0xEB560749,
    0x839B5EED,0x2DF3CF7C,0x043B7B8E,0xAA53EA1F,0x57AA126A,0xF9C283FB,0xD00A3709,0x7E62A698,
    0xF088C1A2,0x5EE05033,0x7728E4C1,0xD9407550,0x24B98D25,0x8AD11CB4,0xA319A846,0x0D7139D7,
  }
#endif // CRC32_USE_LOOKUP_TABLE_SLICING_BY_16
};
#endif // NO_LUT