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MINOR: tools: improve ptr hash distribution on 64 bits
When testing the pointer hash on 64-bit real pointers (map entries), it appeared that the shift by 33 bits that hoped to compensate for the 3 nul LSB degrades the hash, and the centering is more optimal on 31-(bits+1)/2. This makes sense since the topmost bit of the multiplicator is 31, so for an input of 1 bit and 1 bit of output we would always get zero. With the formula adjusted this way, we can get up to ~15% more unique entries at 10 bits and ~24% more at 11 bits.
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@ -1085,12 +1085,13 @@ static inline uint statistical_prng_range(uint range)
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* to compute statistic buckets, in that it's fast and reasonably distributed
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* thanks to mixing the bits via a multiplication by a prime number and using
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* the middle bits on 64-bit platforms or remixing the topmost with lowest ones
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* on 32-bit. It provides ~2588 unique values (~1510 non-colliding) at 100%
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* fill ratio for 12 bits, ~1296 (~756 non-colliding) at 100% fill ratio for 11
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* bits, ~648 (~378 non-colliding) at 100% fill ratio for 10 bits, ~163 (95 non
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* colliding) at 100% fill ratio for 8 bits, hence 1-1/e and 1/e respectively.
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* It must be inlined so that <bits> is always a compile-time constant. It
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* supports output sizes from 0 to 32 bits.
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* on 32-bit. It provides ~2491 unique values (~1354 non-colliding) for 2^12
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* valid pointers at 12 bits, ~1454 (~941 non-colliding) for 2^11 valid ptrs
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* at 11 bits, ~707 (~434 non-colliding) for 2^10 valid ptrs at 10 bits, ~347
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* (212 non colliding) for 2^9 valid ptrs at 9 bits, and 165/99 for 2^8 ptrs
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* at 8 bits, hence 1-1/e and 1/e respectively. It must be inlined so that
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* <bits> is always a compile-time constant. It supports output sizes from 0
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* to 32 bits.
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*/
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static forceinline uint ptr_hash(const void *p, const int bits)
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{
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@ -1103,7 +1104,7 @@ static forceinline uint ptr_hash(const void *p, const int bits)
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if (sizeof(long) == 4)
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x ^= x >> 32;
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else
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x >>= 33 - bits / 2;
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x >>= 31 - (bits + 1) / 2;
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return x & (~0U >> (-bits & 31));
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}
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