Modify various power 2 calculations to use new helper functions

First pass of modifying various places that obtain the next power of 2 of
a number and make them use the new functions added in pg_bitutils.h
instead.

This also removes the _hash_log2() function. There are no longer any
callers in core. Other users can swap their _hash_log2(n) call to make use
of pg_ceil_log2_32(n).

Author: David Fetter, with some minor adjustments by me
Reviewed-by: John Naylor, Jesse Zhang
Discussion: https://postgr.es/m/20200114173553.GE32763%40fetter.org

Author: david-rowley

src/backend/access/hash/hashpage.c

@@ -31,6 +31,7 @@
 #include "access/hash.h"
 #include "access/hash_xlog.h"
 #include "miscadmin.h"
+#include "port/pg_bitutils.h"
 #include "storage/lmgr.h"
 #include "storage/predicate.h"
 #include "storage/smgr.h"
@@ -502,7 +503,7 @@ _hash_init_metabuffer(Buffer buf, double num_tuples, RegProcedure procid,
 	double		dnumbuckets;
 	uint32		num_buckets;
 	uint32		spare_index;
-	uint32		i;
+	uint32		lshift;
 
 	/*
 	 * Choose the number of initial bucket pages to match the fill factor
@@ -542,15 +543,12 @@ _hash_init_metabuffer(Buffer buf, double num_tuples, RegProcedure procid,
 	metap->hashm_nmaps = 0;
 	metap->hashm_ffactor = ffactor;
 	metap->hashm_bsize = HashGetMaxBitmapSize(page);
+
 	/* find largest bitmap array size that will fit in page size */
-	for (i = _hash_log2(metap->hashm_bsize); i > 0; --i)
-	{
-		if ((1 << i) <= metap->hashm_bsize)
-			break;
-	}
-	Assert(i > 0);
-	metap->hashm_bmsize = 1 << i;
-	metap->hashm_bmshift = i + BYTE_TO_BIT;
+	lshift = pg_leftmost_one_pos32(metap->hashm_bsize);
+	Assert(lshift > 0);
+	metap->hashm_bmsize = 1 << lshift;
+	metap->hashm_bmshift = lshift + BYTE_TO_BIT;
 	Assert((1 << BMPG_SHIFT(metap)) == (BMPG_MASK(metap) + 1));
 
 	/*
@@ -570,7 +568,7 @@ _hash_init_metabuffer(Buffer buf, double num_tuples, RegProcedure procid,
 	 * Set highmask as next immediate ((2 ^ x) - 1), which should be
 	 * sufficient to cover num_buckets.
 	 */
-	metap->hashm_highmask = (1 << (_hash_log2(num_buckets + 1))) - 1;
+	metap->hashm_highmask = pg_nextpower2_32(num_buckets + 1) - 1;
 	metap->hashm_lowmask = (metap->hashm_highmask >> 1);
 
 	MemSet(metap->hashm_spares, 0, sizeof(metap->hashm_spares));
@@ -659,9 +657,9 @@ _hash_expandtable(Relation rel, Buffer metabuf)
 	 *
 	 * Ideally we'd allow bucket numbers up to UINT_MAX-1 (no higher because
 	 * the calculation maxbucket+1 mustn't overflow).  Currently we restrict
-	 * to half that because of overflow looping in _hash_log2() and
-	 * insufficient space in hashm_spares[].  It's moot anyway because an
-	 * index with 2^32 buckets would certainly overflow BlockNumber and hence
+	 * to half that to prevent failure of pg_ceil_log2_32() and insufficient
+	 * space in hashm_spares[].  It's moot anyway because an index with 2^32
+	 * buckets would certainly overflow BlockNumber and hence
 	 * _hash_alloc_buckets() would fail, but if we supported buckets smaller
 	 * than a disk block then this would be an independent constraint.
 	 *

src/backend/access/hash/hashsort.c

@@ -29,6 +29,7 @@
 #include "commands/progress.h"
 #include "miscadmin.h"
 #include "pgstat.h"
+#include "port/pg_bitutils.h"
 #include "utils/tuplesort.h"
 
 
@@ -69,7 +70,7 @@ _h_spoolinit(Relation heap, Relation index, uint32 num_buckets)
 	 * NOTE : This hash mask calculation should be in sync with similar
 	 * calculation in _hash_init_metabuffer.
 	 */
-	hspool->high_mask = (((uint32) 1) << _hash_log2(num_buckets + 1)) - 1;
+	hspool->high_mask = pg_nextpower2_32(num_buckets + 1) - 1;
 	hspool->low_mask = (hspool->high_mask >> 1);
 	hspool->max_buckets = num_buckets - 1;
 

src/backend/access/hash/hashutil.c

@@ -17,6 +17,7 @@
 #include "access/hash.h"
 #include "access/reloptions.h"
 #include "access/relscan.h"
+#include "port/pg_bitutils.h"
 #include "storage/buf_internals.h"
 #include "utils/lsyscache.h"
 #include "utils/rel.h"
@@ -134,21 +135,6 @@ _hash_hashkey2bucket(uint32 hashkey, uint32 maxbucket,
 	return bucket;
 }
 
-/*
- * _hash_log2 -- returns ceil(lg2(num))
- */
-uint32
-_hash_log2(uint32 num)
-{
-	uint32		i,
-				limit;
-
-	limit = 1;
-	for (i = 0; limit < num; limit <<= 1, i++)
-		;
-	return i;
-}
-
 /*
  * _hash_spareindex -- returns spare index / global splitpoint phase of the
  *					   bucket
@@ -158,8 +144,7 @@ _hash_spareindex(uint32 num_bucket)
 {
 	uint32		splitpoint_group;
 	uint32		splitpoint_phases;
-
-	splitpoint_group = _hash_log2(num_bucket);
+	splitpoint_group = pg_ceil_log2_32(num_bucket);
 
 	if (splitpoint_group < HASH_SPLITPOINT_GROUPS_WITH_ONE_PHASE)
 		return splitpoint_group;

src/backend/utils/hash/dynahash.c

@@ -87,6 +87,7 @@
 
 #include "access/xact.h"
 #include "common/hashfn.h"
+#include "port/pg_bitutils.h"
 #include "storage/shmem.h"
 #include "storage/spin.h"
 #include "utils/dynahash.h"
@@ -1718,16 +1719,15 @@ hash_corrupted(HTAB *hashp)
 int
 my_log2(long num)
 {
-	int			i;
-	long		limit;
-
-	/* guard against too-large input, which would put us into infinite loop */
+	/* guard against too-large input, which would be invalid for pg_ceil_log2_*() */
 	if (num > LONG_MAX / 2)
 		num = LONG_MAX / 2;
 
-	for (i = 0, limit = 1; limit < num; i++, limit <<= 1)
-		;
-	return i;
+#if SIZEOF_LONG < 8
+	return pg_ceil_log2_32(num);
+#else
+	return pg_ceil_log2_64(num);
+#endif
 }
 
 /* calculate first power of 2 >= num, bounded to what will fit in a long */

src/include/access/hash.h

@@ -451,7 +451,6 @@ extern uint32 _hash_datum2hashkey(Relation rel, Datum key);
 extern uint32 _hash_datum2hashkey_type(Relation rel, Datum key, Oid keytype);
 extern Bucket _hash_hashkey2bucket(uint32 hashkey, uint32 maxbucket,
 								   uint32 highmask, uint32 lowmask);
-extern uint32 _hash_log2(uint32 num);
 extern uint32 _hash_spareindex(uint32 num_bucket);
 extern uint32 _hash_get_totalbuckets(uint32 splitpoint_phase);
 extern void _hash_checkpage(Relation rel, Buffer buf, int flags);

src/include/lib/simplehash.h

@@ -57,6 +57,8 @@
  *	  backwards, unless they're empty or already at their optimal position.
  */
 
+#include "port/pg_bitutils.h"
+
 /* helpers */
 #define SH_MAKE_PREFIX(a) CppConcat(a,_)
 #define SH_MAKE_NAME(name) SH_MAKE_NAME_(SH_MAKE_PREFIX(SH_PREFIX),name)
@@ -215,27 +217,6 @@ SH_SCOPE void SH_STAT(SH_TYPE * tb);
 #ifndef SIMPLEHASH_H
 #define SIMPLEHASH_H
 
-/* FIXME: can we move these to a central location? */
-
-/* calculate ceil(log base 2) of num */
-static inline uint64
-sh_log2(uint64 num)
-{
-	int			i;
-	uint64		limit;
-
-	for (i = 0, limit = 1; limit < num; i++, limit <<= 1)
-		;
-	return i;
-}
-
-/* calculate first power of 2 >= num */
-static inline uint64
-sh_pow2(uint64 num)
-{
-	return ((uint64) 1) << sh_log2(num);
-}
-
 #ifdef FRONTEND
 #define sh_error(...) pg_log_error(__VA_ARGS__)
 #define sh_log(...) pg_log_info(__VA_ARGS__)
@@ -259,7 +240,7 @@ SH_COMPUTE_PARAMETERS(SH_TYPE * tb, uint32 newsize)
 	size = Max(newsize, 2);
 
 	/* round up size to the next power of 2, that's how bucketing works */
-	size = sh_pow2(size);
+	size = pg_nextpower2_64(size);
 	Assert(size <= SH_MAX_SIZE);
 
 	/*
@@ -434,7 +415,7 @@ SH_GROW(SH_TYPE * tb, uint32 newsize)
 	uint32		startelem = 0;
 	uint32		copyelem;
 
-	Assert(oldsize == sh_pow2(oldsize));
+	Assert(oldsize == pg_nextpower2_64(oldsize));
 	Assert(oldsize != SH_MAX_SIZE);
 	Assert(oldsize < newsize);
 

src/include/port/pg_bitutils.h

@@ -13,9 +13,15 @@
 #ifndef PG_BITUTILS_H
 #define PG_BITUTILS_H
 
+#ifndef FRONTEND
 extern PGDLLIMPORT const uint8 pg_leftmost_one_pos[256];
 extern PGDLLIMPORT const uint8 pg_rightmost_one_pos[256];
 extern PGDLLIMPORT const uint8 pg_number_of_ones[256];
+#else
+extern const uint8 pg_leftmost_one_pos[256];
+extern const uint8 pg_rightmost_one_pos[256];
+extern const uint8 pg_number_of_ones[256];
+#endif
 
 /*
  * pg_leftmost_one_pos32