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Improve hash method for bitmapsets: some examination of actual outputs
shows that adding a circular shift between words greatly improves the distribution of hash outputs.
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@ -14,7 +14,7 @@
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* Copyright (c) 2003-2005, PostgreSQL Global Development Group
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*
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* IDENTIFICATION
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* $PostgreSQL: pgsql/src/backend/nodes/bitmapset.c,v 1.8 2005/06/08 23:02:04 tgl Exp $
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* $PostgreSQL: pgsql/src/backend/nodes/bitmapset.c,v 1.9 2005/06/15 16:24:07 tgl Exp $
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*
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*-------------------------------------------------------------------------
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*/
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@ -769,22 +769,36 @@ bms_first_member(Bitmapset *a)
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*
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* Note: we must ensure that any two bitmapsets that are bms_equal() will
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* hash to the same value; in practice this means that trailing all-zero
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* words cannot affect the result. Longitudinal XOR provides a reasonable
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* hash value that has this property.
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* words cannot affect the result. The circular-shift-and-XOR hash method
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* used here has this property, so long as we work from back to front.
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*
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* Note: you might wonder why we bother with the circular shift; at first
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* glance a straight longitudinal XOR seems as good and much simpler. The
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* reason is empirical: this gives a better distribution of hash values on
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* the bitmapsets actually generated by the planner. A common way to have
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* multiword bitmapsets is "a JOIN b JOIN c JOIN d ...", which gives rise
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* to rangetables in which base tables and JOIN nodes alternate; so
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* bitmapsets of base table RT indexes tend to use only odd-numbered or only
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* even-numbered bits. A straight longitudinal XOR would preserve this
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* property, leading to a much smaller set of possible outputs than if
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* we include a shift.
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*/
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uint32
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bms_hash_value(const Bitmapset *a)
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{
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bitmapword result = 0;
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int nwords;
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int wordnum;
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if (a == NULL)
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if (a == NULL || a->nwords <= 0)
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return 0; /* All empty sets hash to 0 */
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nwords = a->nwords;
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for (wordnum = 0; wordnum < nwords; wordnum++)
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for (wordnum = a->nwords; --wordnum > 0; )
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{
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result ^= a->words[wordnum];
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if (result & ((bitmapword) 1 << (BITS_PER_BITMAPWORD - 1)))
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result = (result << 1) | 1;
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else
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result = (result << 1);
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}
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result ^= a->words[0];
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return (uint32) result;
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}
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