Consistently use "superuser" instead of "super user"
[pgsql.git] / src / include / access / spgist_private.h
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1 /*-------------------------------------------------------------------------
3 * spgist_private.h
4 * Private declarations for SP-GiST access method.
7 * Portions Copyright (c) 1996-2021, PostgreSQL Global Development Group
8 * Portions Copyright (c) 1994, Regents of the University of California
10 * src/include/access/spgist_private.h
12 *-------------------------------------------------------------------------
14 #ifndef SPGIST_PRIVATE_H
15 #define SPGIST_PRIVATE_H
17 #include "access/itup.h"
18 #include "access/spgist.h"
19 #include "catalog/pg_am_d.h"
20 #include "nodes/tidbitmap.h"
21 #include "storage/buf.h"
22 #include "utils/geo_decls.h"
23 #include "utils/relcache.h"
26 typedef struct SpGistOptions
28 int32 varlena_header_; /* varlena header (do not touch directly!) */
29 int fillfactor; /* page fill factor in percent (0..100) */
30 } SpGistOptions;
32 #define SpGistGetFillFactor(relation) \
33 (AssertMacro(relation->rd_rel->relkind == RELKIND_INDEX && \
34 relation->rd_rel->relam == SPGIST_AM_OID), \
35 (relation)->rd_options ? \
36 ((SpGistOptions *) (relation)->rd_options)->fillfactor : \
37 SPGIST_DEFAULT_FILLFACTOR)
38 #define SpGistGetTargetPageFreeSpace(relation) \
39 (BLCKSZ * (100 - SpGistGetFillFactor(relation)) / 100)
42 /* SPGiST leaf tuples have one key column, optionally have included columns */
43 #define spgKeyColumn 0
44 #define spgFirstIncludeColumn 1
46 /* Page numbers of fixed-location pages */
47 #define SPGIST_METAPAGE_BLKNO (0) /* metapage */
48 #define SPGIST_ROOT_BLKNO (1) /* root for normal entries */
49 #define SPGIST_NULL_BLKNO (2) /* root for null-value entries */
50 #define SPGIST_LAST_FIXED_BLKNO SPGIST_NULL_BLKNO
52 #define SpGistBlockIsRoot(blkno) \
53 ((blkno) == SPGIST_ROOT_BLKNO || (blkno) == SPGIST_NULL_BLKNO)
54 #define SpGistBlockIsFixed(blkno) \
55 ((BlockNumber) (blkno) <= (BlockNumber) SPGIST_LAST_FIXED_BLKNO)
58 * Contents of page special space on SPGiST index pages
60 typedef struct SpGistPageOpaqueData
62 uint16 flags; /* see bit definitions below */
63 uint16 nRedirection; /* number of redirection tuples on page */
64 uint16 nPlaceholder; /* number of placeholder tuples on page */
65 /* note there's no count of either LIVE or DEAD tuples ... */
66 uint16 spgist_page_id; /* for identification of SP-GiST indexes */
67 } SpGistPageOpaqueData;
69 typedef SpGistPageOpaqueData *SpGistPageOpaque;
71 /* Flag bits in page special space */
72 #define SPGIST_META (1<<0)
73 #define SPGIST_DELETED (1<<1) /* never set, but keep for backwards
74 * compatibility */
75 #define SPGIST_LEAF (1<<2)
76 #define SPGIST_NULLS (1<<3)
78 #define SpGistPageGetOpaque(page) ((SpGistPageOpaque) PageGetSpecialPointer(page))
79 #define SpGistPageIsMeta(page) (SpGistPageGetOpaque(page)->flags & SPGIST_META)
80 #define SpGistPageIsDeleted(page) (SpGistPageGetOpaque(page)->flags & SPGIST_DELETED)
81 #define SpGistPageIsLeaf(page) (SpGistPageGetOpaque(page)->flags & SPGIST_LEAF)
82 #define SpGistPageStoresNulls(page) (SpGistPageGetOpaque(page)->flags & SPGIST_NULLS)
85 * The page ID is for the convenience of pg_filedump and similar utilities,
86 * which otherwise would have a hard time telling pages of different index
87 * types apart. It should be the last 2 bytes on the page. This is more or
88 * less "free" due to alignment considerations.
90 * See comments above GinPageOpaqueData.
92 #define SPGIST_PAGE_ID 0xFF82
95 * Each backend keeps a cache of last-used page info in its index->rd_amcache
96 * area. This is initialized from, and occasionally written back to,
97 * shared storage in the index metapage.
99 typedef struct SpGistLastUsedPage
101 BlockNumber blkno; /* block number, or InvalidBlockNumber */
102 int freeSpace; /* page's free space (could be obsolete!) */
103 } SpGistLastUsedPage;
105 /* Note: indexes in cachedPage[] match flag assignments for SpGistGetBuffer */
106 #define SPGIST_CACHED_PAGES 8
108 typedef struct SpGistLUPCache
110 SpGistLastUsedPage cachedPage[SPGIST_CACHED_PAGES];
111 } SpGistLUPCache;
114 * metapage
116 typedef struct SpGistMetaPageData
118 uint32 magicNumber; /* for identity cross-check */
119 SpGistLUPCache lastUsedPages; /* shared storage of last-used info */
120 } SpGistMetaPageData;
122 #define SPGIST_MAGIC_NUMBER (0xBA0BABEE)
124 #define SpGistPageGetMeta(p) \
125 ((SpGistMetaPageData *) PageGetContents(p))
128 * Private state of index AM. SpGistState is common to both insert and
129 * search code; SpGistScanOpaque is for searches only.
132 typedef struct SpGistLeafTupleData *SpGistLeafTuple; /* forward reference */
134 /* Per-datatype info needed in SpGistState */
135 typedef struct SpGistTypeDesc
137 Oid type;
138 int16 attlen;
139 bool attbyval;
140 char attalign;
141 char attstorage;
142 } SpGistTypeDesc;
144 typedef struct SpGistState
146 Relation index; /* index we're working with */
148 spgConfigOut config; /* filled in by opclass config method */
150 SpGistTypeDesc attType; /* type of values to be indexed/restored */
151 SpGistTypeDesc attLeafType; /* type of leaf-tuple values */
152 SpGistTypeDesc attPrefixType; /* type of inner-tuple prefix values */
153 SpGistTypeDesc attLabelType; /* type of node label values */
155 /* leafTupDesc typically points to index's tupdesc, but not always */
156 TupleDesc leafTupDesc; /* descriptor for leaf-level tuples */
158 char *deadTupleStorage; /* workspace for spgFormDeadTuple */
160 TransactionId myXid; /* XID to use when creating a redirect tuple */
161 bool isBuild; /* true if doing index build */
162 } SpGistState;
164 /* Item to be re-examined later during a search */
165 typedef struct SpGistSearchItem
167 pairingheap_node phNode; /* pairing heap node */
168 Datum value; /* value reconstructed from parent, or
169 * leafValue if isLeaf */
170 SpGistLeafTuple leafTuple; /* whole leaf tuple, if needed */
171 void *traversalValue; /* opclass-specific traverse value */
172 int level; /* level of items on this page */
173 ItemPointerData heapPtr; /* heap info, if heap tuple */
174 bool isNull; /* SearchItem is NULL item */
175 bool isLeaf; /* SearchItem is heap item */
176 bool recheck; /* qual recheck is needed */
177 bool recheckDistances; /* distance recheck is needed */
179 /* array with numberOfOrderBys entries */
180 double distances[FLEXIBLE_ARRAY_MEMBER];
181 } SpGistSearchItem;
183 #define SizeOfSpGistSearchItem(n_distances) \
184 (offsetof(SpGistSearchItem, distances) + sizeof(double) * (n_distances))
187 * Private state of an index scan
189 typedef struct SpGistScanOpaqueData
191 SpGistState state; /* see above */
192 pairingheap *scanQueue; /* queue of to be visited items */
193 MemoryContext tempCxt; /* short-lived memory context */
194 MemoryContext traversalCxt; /* single scan lifetime memory context */
196 /* Control flags showing whether to search nulls and/or non-nulls */
197 bool searchNulls; /* scan matches (all) null entries */
198 bool searchNonNulls; /* scan matches (some) non-null entries */
200 /* Index quals to be passed to opclass (null-related quals removed) */
201 int numberOfKeys; /* number of index qualifier conditions */
202 ScanKey keyData; /* array of index qualifier descriptors */
203 int numberOfOrderBys; /* number of ordering operators */
204 int numberOfNonNullOrderBys; /* number of ordering operators
205 * with non-NULL arguments */
206 ScanKey orderByData; /* array of ordering op descriptors */
207 Oid *orderByTypes; /* array of ordering op return types */
208 int *nonNullOrderByOffsets; /* array of offset of non-NULL
209 * ordering keys in the original array */
210 Oid indexCollation; /* collation of index column */
212 /* Opclass defined functions: */
213 FmgrInfo innerConsistentFn;
214 FmgrInfo leafConsistentFn;
216 /* Pre-allocated workspace arrays: */
217 double *zeroDistances;
218 double *infDistances;
220 /* These fields are only used in amgetbitmap scans: */
221 TIDBitmap *tbm; /* bitmap being filled */
222 int64 ntids; /* number of TIDs passed to bitmap */
224 /* These fields are only used in amgettuple scans: */
225 bool want_itup; /* are we reconstructing tuples? */
226 TupleDesc reconTupDesc; /* if so, descriptor for reconstructed tuples */
227 int nPtrs; /* number of TIDs found on current page */
228 int iPtr; /* index for scanning through same */
229 ItemPointerData heapPtrs[MaxIndexTuplesPerPage]; /* TIDs from cur page */
230 bool recheck[MaxIndexTuplesPerPage]; /* their recheck flags */
231 bool recheckDistances[MaxIndexTuplesPerPage]; /* distance recheck
232 * flags */
233 HeapTuple reconTups[MaxIndexTuplesPerPage]; /* reconstructed tuples */
235 /* distances (for recheck) */
236 IndexOrderByDistance *distances[MaxIndexTuplesPerPage];
239 * Note: using MaxIndexTuplesPerPage above is a bit hokey since
240 * SpGistLeafTuples aren't exactly IndexTuples; however, they are larger,
241 * so this is safe.
243 } SpGistScanOpaqueData;
245 typedef SpGistScanOpaqueData *SpGistScanOpaque;
248 * This struct is what we actually keep in index->rd_amcache. It includes
249 * static configuration information as well as the lastUsedPages cache.
251 typedef struct SpGistCache
253 spgConfigOut config; /* filled in by opclass config method */
255 SpGistTypeDesc attType; /* type of values to be indexed/restored */
256 SpGistTypeDesc attLeafType; /* type of leaf-tuple values */
257 SpGistTypeDesc attPrefixType; /* type of inner-tuple prefix values */
258 SpGistTypeDesc attLabelType; /* type of node label values */
260 SpGistLUPCache lastUsedPages; /* local storage of last-used info */
261 } SpGistCache;
265 * SPGiST tuple types. Note: inner, leaf, and dead tuple structs
266 * must have the same tupstate field in the same position! Real inner and
267 * leaf tuples always have tupstate = LIVE; if the state is something else,
268 * use the SpGistDeadTuple struct to inspect the tuple.
271 /* values of tupstate (see README for more info) */
272 #define SPGIST_LIVE 0 /* normal live tuple (either inner or leaf) */
273 #define SPGIST_REDIRECT 1 /* temporary redirection placeholder */
274 #define SPGIST_DEAD 2 /* dead, cannot be removed because of links */
275 #define SPGIST_PLACEHOLDER 3 /* placeholder, used to preserve offsets */
278 * SPGiST inner tuple: list of "nodes" that subdivide a set of tuples
280 * Inner tuple layout:
281 * header/optional prefix/array of nodes, which are SpGistNodeTuples
283 * size and prefixSize must be multiples of MAXALIGN
285 * If the prefix datum is of a pass-by-value type, it is stored in its
286 * Datum representation, that is its on-disk representation is of length
287 * sizeof(Datum). This is a fairly unfortunate choice, because in no other
288 * place does Postgres use Datum as an on-disk representation; it creates
289 * an unnecessary incompatibility between 32-bit and 64-bit builds. But the
290 * compatibility loss is mostly theoretical since MAXIMUM_ALIGNOF typically
291 * differs between such builds, too. Anyway we're stuck with it now.
293 typedef struct SpGistInnerTupleData
295 unsigned int tupstate:2, /* LIVE/REDIRECT/DEAD/PLACEHOLDER */
296 allTheSame:1, /* all nodes in tuple are equivalent */
297 nNodes:13, /* number of nodes within inner tuple */
298 prefixSize:16; /* size of prefix, or 0 if none */
299 uint16 size; /* total size of inner tuple */
300 /* On most machines there will be a couple of wasted bytes here */
301 /* prefix datum follows, then nodes */
302 } SpGistInnerTupleData;
304 typedef SpGistInnerTupleData *SpGistInnerTuple;
306 /* these must match largest values that fit in bit fields declared above */
307 #define SGITMAXNNODES 0x1FFF
308 #define SGITMAXPREFIXSIZE 0xFFFF
309 #define SGITMAXSIZE 0xFFFF
311 #define SGITHDRSZ MAXALIGN(sizeof(SpGistInnerTupleData))
312 #define _SGITDATA(x) (((char *) (x)) + SGITHDRSZ)
313 #define SGITDATAPTR(x) ((x)->prefixSize ? _SGITDATA(x) : NULL)
314 #define SGITDATUM(x, s) ((x)->prefixSize ? \
315 ((s)->attPrefixType.attbyval ? \
316 *(Datum *) _SGITDATA(x) : \
317 PointerGetDatum(_SGITDATA(x))) \
318 : (Datum) 0)
319 #define SGITNODEPTR(x) ((SpGistNodeTuple) (_SGITDATA(x) + (x)->prefixSize))
321 /* Macro for iterating through the nodes of an inner tuple */
322 #define SGITITERATE(x, i, nt) \
323 for ((i) = 0, (nt) = SGITNODEPTR(x); \
324 (i) < (x)->nNodes; \
325 (i)++, (nt) = (SpGistNodeTuple) (((char *) (nt)) + IndexTupleSize(nt)))
328 * SPGiST node tuple: one node within an inner tuple
330 * Node tuples use the same header as ordinary Postgres IndexTuples, but
331 * we do not use a null bitmap, because we know there is only one column
332 * so the INDEX_NULL_MASK bit suffices. Also, pass-by-value datums are
333 * stored in Datum form, the same convention as for inner tuple prefixes.
336 typedef IndexTupleData SpGistNodeTupleData;
338 typedef SpGistNodeTupleData *SpGistNodeTuple;
340 #define SGNTHDRSZ MAXALIGN(sizeof(SpGistNodeTupleData))
341 #define SGNTDATAPTR(x) (((char *) (x)) + SGNTHDRSZ)
342 #define SGNTDATUM(x, s) ((s)->attLabelType.attbyval ? \
343 *(Datum *) SGNTDATAPTR(x) : \
344 PointerGetDatum(SGNTDATAPTR(x)))
347 * SPGiST leaf tuple: carries a leaf datum and a heap tuple TID,
348 * and optionally some "included" columns.
350 * In the simplest case, the leaf datum is the same as the indexed value;
351 * but it could also be a suffix or some other sort of delta that permits
352 * reconstruction given knowledge of the prefix path traversed to get here.
353 * Any included columns are stored without modification.
355 * A nulls bitmap is present if there are included columns AND any of the
356 * datums are NULL. We do not need a nulls bitmap for the case of a null
357 * leaf datum without included columns, as we can infer whether the leaf
358 * datum is null from whether the tuple is stored on a nulls page. (This
359 * provision is mostly for backwards compatibility, but it does save space
360 * on 32-bit machines.) As with other PG index tuple designs, if the nulls
361 * bitmap exists then it's of size INDEX_MAX_KEYS bits regardless of the
362 * actual number of attributes. For the usual choice of INDEX_MAX_KEYS,
363 * this costs nothing because of alignment considerations.
365 * The size field is wider than could possibly be needed for an on-disk leaf
366 * tuple, but this allows us to form leaf tuples even when the datum is too
367 * wide to be stored immediately, and it costs nothing because of alignment
368 * considerations.
370 * t_info holds the nextOffset field (14 bits wide, enough for supported
371 * page sizes) plus the has-nulls-bitmap flag bit; another flag bit is free.
373 * Normally, nextOffset links to the next tuple belonging to the same parent
374 * node (which must be on the same page), or it's 0 if there is no next tuple.
375 * But when the root page is a leaf page, we don't chain its tuples,
376 * so nextOffset is always 0 on the root.
378 * size must be a multiple of MAXALIGN; also, it must be at least SGDTSIZE
379 * so that the tuple can be converted to REDIRECT status later. (This
380 * restriction only adds bytes for a NULL leaf datum stored on a 32-bit
381 * machine; otherwise alignment restrictions force it anyway.)
383 typedef struct SpGistLeafTupleData
385 unsigned int tupstate:2, /* LIVE/REDIRECT/DEAD/PLACEHOLDER */
386 size:30; /* large enough for any palloc'able value */
387 uint16 t_info; /* nextOffset, which links to the next tuple
388 * in chain, plus two flag bits */
389 ItemPointerData heapPtr; /* TID of represented heap tuple */
390 /* nulls bitmap follows if the flag bit for it is set */
391 /* leaf datum, then any included datums, follows on a MAXALIGN boundary */
392 } SpGistLeafTupleData;
394 /* Macros to access nextOffset and bit fields inside t_info */
395 #define SGLT_GET_NEXTOFFSET(spgLeafTuple) \
396 ((spgLeafTuple)->t_info & 0x3FFF)
397 #define SGLT_GET_HASNULLMASK(spgLeafTuple) \
398 (((spgLeafTuple)->t_info & 0x8000) ? true : false)
399 #define SGLT_SET_NEXTOFFSET(spgLeafTuple, offsetNumber) \
400 ((spgLeafTuple)->t_info = \
401 ((spgLeafTuple)->t_info & 0xC000) | ((offsetNumber) & 0x3FFF))
402 #define SGLT_SET_HASNULLMASK(spgLeafTuple, hasnulls) \
403 ((spgLeafTuple)->t_info = \
404 ((spgLeafTuple)->t_info & 0x7FFF) | ((hasnulls) ? 0x8000 : 0))
406 #define SGLTHDRSZ(hasnulls) \
407 ((hasnulls) ? MAXALIGN(sizeof(SpGistLeafTupleData) + \
408 sizeof(IndexAttributeBitMapData)) : \
409 MAXALIGN(sizeof(SpGistLeafTupleData)))
410 #define SGLTDATAPTR(x) (((char *) (x)) + SGLTHDRSZ(SGLT_GET_HASNULLMASK(x)))
411 #define SGLTDATUM(x, s) fetch_att(SGLTDATAPTR(x), \
412 (s)->attLeafType.attbyval, \
413 (s)->attLeafType.attlen)
416 * SPGiST dead tuple: declaration for examining non-live tuples
418 * The tupstate field of this struct must match those of regular inner and
419 * leaf tuples, and its size field must match a leaf tuple's.
420 * Also, the pointer field must be in the same place as a leaf tuple's heapPtr
421 * field, to satisfy some Asserts that we make when replacing a leaf tuple
422 * with a dead tuple.
423 * We don't use t_info, but it's needed to align the pointer field.
424 * pointer and xid are only valid when tupstate = REDIRECT.
426 typedef struct SpGistDeadTupleData
428 unsigned int tupstate:2, /* LIVE/REDIRECT/DEAD/PLACEHOLDER */
429 size:30;
430 uint16 t_info; /* not used in dead tuples */
431 ItemPointerData pointer; /* redirection inside index */
432 TransactionId xid; /* ID of xact that inserted this tuple */
433 } SpGistDeadTupleData;
435 typedef SpGistDeadTupleData *SpGistDeadTuple;
437 #define SGDTSIZE MAXALIGN(sizeof(SpGistDeadTupleData))
440 * Macros for doing free-space calculations. Note that when adding up the
441 * space needed for tuples, we always consider each tuple to need the tuple's
442 * size plus sizeof(ItemIdData) (for the line pointer). This works correctly
443 * so long as tuple sizes are always maxaligned.
446 /* Page capacity after allowing for fixed header and special space */
447 #define SPGIST_PAGE_CAPACITY \
448 MAXALIGN_DOWN(BLCKSZ - \
449 SizeOfPageHeaderData - \
450 MAXALIGN(sizeof(SpGistPageOpaqueData)))
453 * Compute free space on page, assuming that up to n placeholders can be
454 * recycled if present (n should be the number of tuples to be inserted)
456 #define SpGistPageGetFreeSpace(p, n) \
457 (PageGetExactFreeSpace(p) + \
458 Min(SpGistPageGetOpaque(p)->nPlaceholder, n) * \
459 (SGDTSIZE + sizeof(ItemIdData)))
462 * XLOG stuff
465 #define STORE_STATE(s, d) \
466 do { \
467 (d).myXid = (s)->myXid; \
468 (d).isBuild = (s)->isBuild; \
469 } while(0)
472 * The "flags" argument for SpGistGetBuffer should be either GBUF_LEAF to
473 * get a leaf page, or GBUF_INNER_PARITY(blockNumber) to get an inner
474 * page in the same triple-parity group as the specified block number.
475 * (Typically, this should be GBUF_INNER_PARITY(parentBlockNumber + 1)
476 * to follow the rule described in spgist/README.)
477 * In addition, GBUF_NULLS can be OR'd in to get a page for storage of
478 * null-valued tuples.
480 * Note: these flag values are used as indexes into lastUsedPages.
482 #define GBUF_LEAF 0x03
483 #define GBUF_INNER_PARITY(x) ((x) % 3)
484 #define GBUF_NULLS 0x04
486 #define GBUF_PARITY_MASK 0x03
487 #define GBUF_REQ_LEAF(flags) (((flags) & GBUF_PARITY_MASK) == GBUF_LEAF)
488 #define GBUF_REQ_NULLS(flags) ((flags) & GBUF_NULLS)
490 /* spgutils.c */
492 /* reloption parameters */
493 #define SPGIST_MIN_FILLFACTOR 10
494 #define SPGIST_DEFAULT_FILLFACTOR 80
496 extern SpGistCache *spgGetCache(Relation index);
497 extern TupleDesc getSpGistTupleDesc(Relation index, SpGistTypeDesc *keyType);
498 extern void initSpGistState(SpGistState *state, Relation index);
499 extern Buffer SpGistNewBuffer(Relation index);
500 extern void SpGistUpdateMetaPage(Relation index);
501 extern Buffer SpGistGetBuffer(Relation index, int flags,
502 int needSpace, bool *isNew);
503 extern void SpGistSetLastUsedPage(Relation index, Buffer buffer);
504 extern void SpGistInitPage(Page page, uint16 f);
505 extern void SpGistInitBuffer(Buffer b, uint16 f);
506 extern void SpGistInitMetapage(Page page);
507 extern unsigned int SpGistGetInnerTypeSize(SpGistTypeDesc *att, Datum datum);
508 extern Size SpGistGetLeafTupleSize(TupleDesc tupleDescriptor,
509 Datum *datums, bool *isnulls);
510 extern SpGistLeafTuple spgFormLeafTuple(SpGistState *state,
511 ItemPointer heapPtr,
512 Datum *datums, bool *isnulls);
513 extern SpGistNodeTuple spgFormNodeTuple(SpGistState *state,
514 Datum label, bool isnull);
515 extern SpGistInnerTuple spgFormInnerTuple(SpGistState *state,
516 bool hasPrefix, Datum prefix,
517 int nNodes, SpGistNodeTuple *nodes);
518 extern SpGistDeadTuple spgFormDeadTuple(SpGistState *state, int tupstate,
519 BlockNumber blkno, OffsetNumber offnum);
520 extern void spgDeformLeafTuple(SpGistLeafTuple tup, TupleDesc tupleDescriptor,
521 Datum *datums, bool *isnulls,
522 bool keyColumnIsNull);
523 extern Datum *spgExtractNodeLabels(SpGistState *state,
524 SpGistInnerTuple innerTuple);
525 extern OffsetNumber SpGistPageAddNewItem(SpGistState *state, Page page,
526 Item item, Size size,
527 OffsetNumber *startOffset,
528 bool errorOK);
529 extern bool spgproperty(Oid index_oid, int attno,
530 IndexAMProperty prop, const char *propname,
531 bool *res, bool *isnull);
533 /* spgdoinsert.c */
534 extern void spgUpdateNodeLink(SpGistInnerTuple tup, int nodeN,
535 BlockNumber blkno, OffsetNumber offset);
536 extern void spgPageIndexMultiDelete(SpGistState *state, Page page,
537 OffsetNumber *itemnos, int nitems,
538 int firststate, int reststate,
539 BlockNumber blkno, OffsetNumber offnum);
540 extern bool spgdoinsert(Relation index, SpGistState *state,
541 ItemPointer heapPtr, Datum *datums, bool *isnulls);
543 /* spgproc.c */
544 extern double *spg_key_orderbys_distances(Datum key, bool isLeaf,
545 ScanKey orderbys, int norderbys);
546 extern BOX *box_copy(BOX *orig);
548 #endif /* SPGIST_PRIVATE_H */