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Compile-time Murmur2 Hash (C++)

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2 Oct 2017CPOL 6.9K   68   1  
This method uses "constexpr"

Introduction

Often, it is possible to increase performance by using not strings, but their numeric representations. It is useful to calculate hash value at compile-time, because it will influence the speed of work significantly.

IT IS IMPORTANT 1: This method is good for calculating the hash of literal strings at compile-time, but not at runtime (because of recursive call).

IT IS IMPORTANT 2: murmur2 has a flaw: collisions on short strings. If you can check collisions offline and fix them, using murmur2 is a good choice, because of its simplicity and speed.

Process

  1. Initialization:
    C++
    static constexpr /* h */uint32_t __init__(uint32_t len)
    {
      return 0 ^ len;
    }
    template<typename __Type> static constexpr uint32_t murmur2(__Type& data, uint32_t len)
    {
      return __proc__(data, len, 0, __init__(len), 0x5bd1e995, 24);
    }
  2. Basic operations:
    C++
    template<typename __T> static constexpr uint32_t __load__(__T& data, uint32_t offset)
    {
      return 
        (data[offset + 0]) | 
        (data[offset + 1] << 8) | 
        (data[offset + 2] << 16) | 
        (data[offset + 3] << 24);
    }
    static constexpr uint32_t __mul__(uint32_t val1, uint32_t val2)
    {
      return val1 * val2;
    }
    static constexpr uint32_t __sl__(uint32_t value, uint32_t count)
    {
      return (value << count);
    }
    static constexpr uint32_t __sr__(uint32_t value, uint32_t count)
    {
      return (value >> count);
    }
    static constexpr uint32_t __xor__(uint32_t h, uint32_t k)
    {
      return h ^ k;
    }
    static constexpr uint32_t __xor_with_sr__(uint32_t k, uint32_t r)
    {
      return __xor__(k, __sr__(k, r));
    }
  3. Loop for calculating hash value. At compile-time, we organize the loop as recursive call, increasing the input data buffer offset and decreasing the rest of the buffer length by the same value:
    C++
    template<typename __Type> 
    static constexpr /* h */uint32_t __proc__(
      __Type& data, 
      uint32_t len, 
      uint32_t offset, 
      uint32_t h, uint32_t m, uint32_t r)
    {
      return
        len >= 4 ? __proc__(data, len - 4, offset + 4, __xor__(__mul__(h, m), 
          __mul__(__xor_with_sr__(__mul__(__load__(data, offset), m), r), m)), m, r) :
        len == 3 ? __proc__(data, len - 1, offset, __xor__(h, __sl__(data[offset + 2], 16)), m, r) :
        len == 2 ? __proc__(data, len - 1, offset, __xor__(h, __sl__(data[offset + 1], 8)), m, r) :
        len == 1 ? __proc__(data, len - 1, offset, __xor__(h, data[offset]) * m, m, r) :
        __xor__(__mul__(__xor_with_sr__(h, 13), m), __sr__(__mul__(__xor_with_sr__(h, 13), m), 15));
    }
  4. For calculating hash value of literal strings, it is useful to define (-1 discard null-terminator):
    C++
    #ifndef LITER_STR_HASH
    #  define LITER_STR_HASH(x) hash::murmur2(x, (sizeof(x) / sizeof(x[0])) - 1)
    #endif//LITER_STR_HASH

Conclusion

Testing the method:

C++
int main()
{
  enum
  {
    val1 = LITER_STR_HASH(STR_TEST1_A),
    val2 = LITER_STR_HASH(STR_TEST2),
    val3 = LITER_STR_HASH(STR_TEST3),
    val4 = LITER_STR_HASH(STR_TEST1_W),
  };

  const auto v1 = MurmurHash2(STR_TEST1_A, sizeof(STR_TEST1_A) / sizeof(STR_TEST1_A[0]) - 1);
  const auto v2 = MurmurHash2(STR_TEST2, sizeof(STR_TEST2) / sizeof(STR_TEST2[0]) - 1);
  const auto v3 = MurmurHash2(STR_TEST3, sizeof(STR_TEST3) / sizeof(STR_TEST3[0]) - 1);

  printf("0x%Xlu - 0x%Xlu - 0x%Xlu\n", val1, v1, val4);
  printf("0x%Xlu - 0x%Xlu\n", val2, v2);
  printf("0x%Xlu - 0x%Xlu\n", val3, v3);
  return 0;
}

The code was tested in Visual Studio 2015.
Have a nice code!

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)


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