postgres/src/include/access/spgist_private.h

/*-------------------------------------------------------------------------
 *
 * spgist_private.h
 *	  Private declarations for SP-GiST access method.
 *
 *
 * Portions Copyright (c) 1996-2012, PostgreSQL Global Development Group
 * Portions Copyright (c) 1994, Regents of the University of California
 *
 * src/include/access/spgist_private.h
 *
 *-------------------------------------------------------------------------
 */
#ifndef SPGIST_PRIVATE_H
#define SPGIST_PRIVATE_H

#include "access/itup.h"
#include "access/spgist.h"
#include "nodes/tidbitmap.h"
#include "storage/relfilenode.h"
#include "utils/relcache.h"


/* Page numbers of fixed-location pages */
#define SPGIST_METAPAGE_BLKNO	 (0)	/* metapage */
#define SPGIST_ROOT_BLKNO		 (1)	/* root for normal entries */
#define SPGIST_NULL_BLKNO		 (2)	/* root for null-value entries */
#define SPGIST_LAST_FIXED_BLKNO  SPGIST_NULL_BLKNO

#define SpGistBlockIsRoot(blkno) \
	((blkno) == SPGIST_ROOT_BLKNO || (blkno) == SPGIST_NULL_BLKNO)
#define SpGistBlockIsFixed(blkno) \
	((BlockNumber) (blkno) <= (BlockNumber) SPGIST_LAST_FIXED_BLKNO)

/*
 * Contents of page special space on SPGiST index pages
 */
typedef struct SpGistPageOpaqueData
{
	uint16		flags;			/* see bit definitions below */
	uint16		nRedirection;	/* number of redirection tuples on page */
	uint16		nPlaceholder;	/* number of placeholder tuples on page */
	/* note there's no count of either LIVE or DEAD tuples ... */
	uint16		spgist_page_id; /* for identification of SP-GiST indexes */
} SpGistPageOpaqueData;

typedef SpGistPageOpaqueData *SpGistPageOpaque;

/* Flag bits in page special space */
#define SPGIST_META			(1<<0)
#define SPGIST_DELETED		(1<<1)
#define SPGIST_LEAF			(1<<2)
#define SPGIST_NULLS		(1<<3)

#define SpGistPageGetOpaque(page) ((SpGistPageOpaque) PageGetSpecialPointer(page))
#define SpGistPageIsMeta(page) (SpGistPageGetOpaque(page)->flags & SPGIST_META)
#define SpGistPageIsDeleted(page) (SpGistPageGetOpaque(page)->flags & SPGIST_DELETED)
#define SpGistPageSetDeleted(page) (SpGistPageGetOpaque(page)->flags |= SPGIST_DELETED)
#define SpGistPageIsLeaf(page) (SpGistPageGetOpaque(page)->flags & SPGIST_LEAF)
#define SpGistPageStoresNulls(page) (SpGistPageGetOpaque(page)->flags & SPGIST_NULLS)

/*
 * The page ID is for the convenience of pg_filedump and similar utilities,
 * which otherwise would have a hard time telling pages of different index
 * types apart.  It should be the last 2 bytes on the page.  This is more or
 * less "free" due to alignment considerations.
 */
#define SPGIST_PAGE_ID		0xFF82

/*
 * Each backend keeps a cache of last-used page info in its index->rd_amcache
 * area.  This is initialized from, and occasionally written back to,
 * shared storage in the index metapage.
 */
typedef struct SpGistLastUsedPage
{
	BlockNumber blkno;			/* block number, or InvalidBlockNumber */
	int			freeSpace;		/* page's free space (could be obsolete!) */
} SpGistLastUsedPage;

/* Note: indexes in cachedPage[] match flag assignments for SpGistGetBuffer */
#define SPGIST_CACHED_PAGES 8

typedef struct SpGistLUPCache
{
	SpGistLastUsedPage cachedPage[SPGIST_CACHED_PAGES];
} SpGistLUPCache;

/*
 * metapage
 */
typedef struct SpGistMetaPageData
{
	uint32		magicNumber;	/* for identity cross-check */
	SpGistLUPCache lastUsedPages;		/* shared storage of last-used info */
} SpGistMetaPageData;

#define SPGIST_MAGIC_NUMBER (0xBA0BABEE)

#define SpGistPageGetMeta(p) \
	((SpGistMetaPageData *) PageGetContents(p))

/*
 * Private state of index AM.  SpGistState is common to both insert and
 * search code; SpGistScanOpaque is for searches only.
 */

/* Per-datatype info needed in SpGistState */
typedef struct SpGistTypeDesc
{
	Oid			type;
	bool		attbyval;
	int16		attlen;
} SpGistTypeDesc;

typedef struct SpGistState
{
	spgConfigOut config;		/* filled in by opclass config method */

	SpGistTypeDesc attType;		/* type of input data and leaf values */
	SpGistTypeDesc attPrefixType;		/* type of inner-tuple prefix values */
	SpGistTypeDesc attLabelType;	/* type of node label values */

	char	   *deadTupleStorage;		/* workspace for spgFormDeadTuple */

	TransactionId myXid;		/* XID to use when creating a redirect tuple */
	bool		isBuild;		/* true if doing index build */
} SpGistState;

/*
 * Private state of an index scan
 */
typedef struct SpGistScanOpaqueData
{
	SpGistState state;			/* see above */
	MemoryContext tempCxt;		/* short-lived memory context */

	/* Control flags showing whether to search nulls and/or non-nulls */
	bool		searchNulls;	/* scan matches (all) null entries */
	bool		searchNonNulls; /* scan matches (some) non-null entries */

	/* Index quals to be passed to opclass (null-related quals removed) */
	int			numberOfKeys;	/* number of index qualifier conditions */
	ScanKey		keyData;		/* array of index qualifier descriptors */

	/* Stack of yet-to-be-visited pages */
	List	   *scanStack;		/* List of ScanStackEntrys */

	/* These fields are only used in amgetbitmap scans: */
	TIDBitmap  *tbm;			/* bitmap being filled */
	int64		ntids;			/* number of TIDs passed to bitmap */

	/* These fields are only used in amgettuple scans: */
	bool		want_itup;		/* are we reconstructing tuples? */
	TupleDesc	indexTupDesc;	/* if so, tuple descriptor for them */
	int			nPtrs;			/* number of TIDs found on current page */
	int			iPtr;			/* index for scanning through same */
	ItemPointerData heapPtrs[MaxIndexTuplesPerPage];	/* TIDs from cur page */
	bool		recheck[MaxIndexTuplesPerPage]; /* their recheck flags */
	IndexTuple	indexTups[MaxIndexTuplesPerPage];		/* reconstructed tuples */

	/*
	 * Note: using MaxIndexTuplesPerPage above is a bit hokey since
	 * SpGistLeafTuples aren't exactly IndexTuples; however, they are larger,
	 * so this is safe.
	 */
} SpGistScanOpaqueData;

typedef SpGistScanOpaqueData *SpGistScanOpaque;

/*
 * This struct is what we actually keep in index->rd_amcache.  It includes
 * static configuration information as well as the lastUsedPages cache.
 */
typedef struct SpGistCache
{
	spgConfigOut config;		/* filled in by opclass config method */

	SpGistTypeDesc attType;		/* type of input data and leaf values */
	SpGistTypeDesc attPrefixType;		/* type of inner-tuple prefix values */
	SpGistTypeDesc attLabelType;	/* type of node label values */

	SpGistLUPCache lastUsedPages;		/* local storage of last-used info */
} SpGistCache;


/*
 * SPGiST tuple types.	Note: inner, leaf, and dead tuple structs
 * must have the same tupstate field in the same position!	Real inner and
 * leaf tuples always have tupstate = LIVE; if the state is something else,
 * use the SpGistDeadTuple struct to inspect the tuple.
 */

/* values of tupstate (see README for more info) */
#define SPGIST_LIVE			0	/* normal live tuple (either inner or leaf) */
#define SPGIST_REDIRECT		1	/* temporary redirection placeholder */
#define SPGIST_DEAD			2	/* dead, cannot be removed because of links */
#define SPGIST_PLACEHOLDER	3	/* placeholder, used to preserve offsets */

/*
 * SPGiST inner tuple: list of "nodes" that subdivide a set of tuples
 *
 * Inner tuple layout:
 * header/optional prefix/array of nodes, which are SpGistNodeTuples
 *
 * size and prefixSize must be multiples of MAXALIGN
 */
typedef struct SpGistInnerTupleData
{
	unsigned int tupstate:2,	/* LIVE/REDIRECT/DEAD/PLACEHOLDER */
				allTheSame:1,	/* all nodes in tuple are equivalent */
				nNodes:13,		/* number of nodes within inner tuple */
				prefixSize:16;	/* size of prefix, or 0 if none */
	uint16		size;			/* total size of inner tuple */
	/* On most machines there will be a couple of wasted bytes here */
	/* prefix datum follows, then nodes */
} SpGistInnerTupleData;

typedef SpGistInnerTupleData *SpGistInnerTuple;

/* these must match largest values that fit in bit fields declared above */
#define SGITMAXNNODES		0x1FFF
#define SGITMAXPREFIXSIZE	0xFFFF
#define SGITMAXSIZE			0xFFFF

#define SGITHDRSZ			MAXALIGN(sizeof(SpGistInnerTupleData))
#define _SGITDATA(x)		(((char *) (x)) + SGITHDRSZ)
#define SGITDATAPTR(x)		((x)->prefixSize ? _SGITDATA(x) : NULL)
#define SGITDATUM(x, s)		((x)->prefixSize ? \
							 ((s)->attPrefixType.attbyval ? \
							  *(Datum *) _SGITDATA(x) : \
							  PointerGetDatum(_SGITDATA(x))) \
							 : (Datum) 0)
#define SGITNODEPTR(x)		((SpGistNodeTuple) (_SGITDATA(x) + (x)->prefixSize))

/* Macro for iterating through the nodes of an inner tuple */
#define SGITITERATE(x, i, nt)	\
	for ((i) = 0, (nt) = SGITNODEPTR(x); \
		 (i) < (x)->nNodes; \
		 (i)++, (nt) = (SpGistNodeTuple) (((char *) (nt)) + IndexTupleSize(nt)))

/*
 * SPGiST node tuple: one node within an inner tuple
 *
 * Node tuples use the same header as ordinary Postgres IndexTuples, but
 * we do not use a null bitmap, because we know there is only one column
 * so the INDEX_NULL_MASK bit suffices.  Also, pass-by-value datums are
 * stored as a full Datum, the same convention as for inner tuple prefixes
 * and leaf tuple datums.
 */

typedef IndexTupleData SpGistNodeTupleData;

typedef SpGistNodeTupleData *SpGistNodeTuple;

#define SGNTHDRSZ			MAXALIGN(sizeof(SpGistNodeTupleData))
#define SGNTDATAPTR(x)		(((char *) (x)) + SGNTHDRSZ)
#define SGNTDATUM(x, s)		((s)->attLabelType.attbyval ? \
							 *(Datum *) SGNTDATAPTR(x) : \
							 PointerGetDatum(SGNTDATAPTR(x)))

/*
 * SPGiST leaf tuple: carries a datum and a heap tuple TID
 *
 * In the simplest case, the datum is the same as the indexed value; but
 * it could also be a suffix or some other sort of delta that permits
 * reconstruction given knowledge of the prefix path traversed to get here.
 *
 * The size field is wider than could possibly be needed for an on-disk leaf
 * tuple, but this allows us to form leaf tuples even when the datum is too
 * wide to be stored immediately, and it costs nothing because of alignment
 * considerations.
 *
 * Normally, nextOffset links to the next tuple belonging to the same parent
 * node (which must be on the same page).  But when the root page is a leaf
 * page, we don't chain its tuples, so nextOffset is always 0 on the root.
 *
 * size must be a multiple of MAXALIGN; also, it must be at least SGDTSIZE
 * so that the tuple can be converted to REDIRECT status later.  (This
 * restriction only adds bytes for the null-datum case, otherwise alignment
 * restrictions force it anyway.)
 *
 * In a leaf tuple for a NULL indexed value, there's no useful datum value;
 * however, the SGDTSIZE limit ensures that's there's a Datum word there
 * anyway, so SGLTDATUM can be applied safely as long as you don't do
 * anything with the result.
 */
typedef struct SpGistLeafTupleData
{
	unsigned int tupstate:2,	/* LIVE/REDIRECT/DEAD/PLACEHOLDER */
				size:30;		/* large enough for any palloc'able value */
	OffsetNumber nextOffset;	/* next tuple in chain, or InvalidOffset */
	ItemPointerData heapPtr;	/* TID of represented heap tuple */
	/* leaf datum follows */
} SpGistLeafTupleData;

typedef SpGistLeafTupleData *SpGistLeafTuple;

#define SGLTHDRSZ			MAXALIGN(sizeof(SpGistLeafTupleData))
#define SGLTDATAPTR(x)		(((char *) (x)) + SGLTHDRSZ)
#define SGLTDATUM(x, s)		((s)->attType.attbyval ? \
							 *(Datum *) SGLTDATAPTR(x) : \
							 PointerGetDatum(SGLTDATAPTR(x)))

/*
 * SPGiST dead tuple: declaration for examining non-live tuples
 *
 * The tupstate field of this struct must match those of regular inner and
 * leaf tuples, and its size field must match a leaf tuple's.
 * Also, the pointer field must be in the same place as a leaf tuple's heapPtr
 * field, to satisfy some Asserts that we make when replacing a leaf tuple
 * with a dead tuple.
 * We don't use nextOffset, but it's needed to align the pointer field.
 * pointer and xid are only valid when tupstate = REDIRECT.
 */
typedef struct SpGistDeadTupleData
{
	unsigned int tupstate:2,	/* LIVE/REDIRECT/DEAD/PLACEHOLDER */
				size:30;
	OffsetNumber nextOffset;	/* not used in dead tuples */
	ItemPointerData pointer;	/* redirection inside index */
	TransactionId xid;			/* ID of xact that inserted this tuple */
} SpGistDeadTupleData;

typedef SpGistDeadTupleData *SpGistDeadTuple;

#define SGDTSIZE		MAXALIGN(sizeof(SpGistDeadTupleData))

/*
 * Macros for doing free-space calculations.  Note that when adding up the
 * space needed for tuples, we always consider each tuple to need the tuple's
 * size plus sizeof(ItemIdData) (for the line pointer).  This works correctly
 * so long as tuple sizes are always maxaligned.
 */

/* Page capacity after allowing for fixed header and special space */
#define SPGIST_PAGE_CAPACITY  \
	MAXALIGN_DOWN(BLCKSZ - \
				  SizeOfPageHeaderData - \
				  MAXALIGN(sizeof(SpGistPageOpaqueData)))

/*
 * Compute free space on page, assuming that up to n placeholders can be
 * recycled if present (n should be the number of tuples to be inserted)
 */
#define SpGistPageGetFreeSpace(p, n) \
	(PageGetExactFreeSpace(p) + \
	 Min(SpGistPageGetOpaque(p)->nPlaceholder, n) * \
	 (SGDTSIZE + sizeof(ItemIdData)))

/*
 * XLOG stuff
 *
 * ACCEPT_RDATA_* can only use fixed-length rdata arrays, because of lengthof
 */

#define ACCEPT_RDATA_DATA(p, s, i)	\
	do { \
		Assert((i) < lengthof(rdata)); \
		rdata[i].data = (char *) (p); \
		rdata[i].len = (s); \
		rdata[i].buffer = InvalidBuffer; \
		rdata[i].buffer_std = true; \
		rdata[i].next = NULL; \
		if ((i) > 0) \
			rdata[(i) - 1].next = rdata + (i); \
	} while(0)

#define ACCEPT_RDATA_BUFFER(b, i)  \
	do { \
		Assert((i) < lengthof(rdata)); \
		rdata[i].data = NULL; \
		rdata[i].len = 0; \
		rdata[i].buffer = (b); \
		rdata[i].buffer_std = true; \
		rdata[i].next = NULL; \
		if ((i) > 0) \
			rdata[(i) - 1].next = rdata + (i); \
	} while(0)


/* XLOG record types for SPGiST */
#define XLOG_SPGIST_CREATE_INDEX	0x00
#define XLOG_SPGIST_ADD_LEAF		0x10
#define XLOG_SPGIST_MOVE_LEAFS		0x20
#define XLOG_SPGIST_ADD_NODE		0x30
#define XLOG_SPGIST_SPLIT_TUPLE		0x40
#define XLOG_SPGIST_PICKSPLIT		0x50
#define XLOG_SPGIST_VACUUM_LEAF		0x60
#define XLOG_SPGIST_VACUUM_ROOT		0x70
#define XLOG_SPGIST_VACUUM_REDIRECT 0x80

/*
 * Some redo functions need an SpGistState, although only a few of its fields
 * need to be valid.  spgxlogState carries the required info in xlog records.
 * (See fillFakeState in spgxlog.c for more comments.)
 */
typedef struct spgxlogState
{
	TransactionId myXid;
	bool		isBuild;
} spgxlogState;

#define STORE_STATE(s, d)  \
	do { \
		(d).myXid = (s)->myXid; \
		(d).isBuild = (s)->isBuild; \
	} while(0)


typedef struct spgxlogAddLeaf
{
	RelFileNode node;

	BlockNumber blknoLeaf;		/* destination page for leaf tuple */
	bool		newPage;		/* init dest page? */
	bool		storesNulls;	/* page is in the nulls tree? */
	OffsetNumber offnumLeaf;	/* offset where leaf tuple gets placed */
	OffsetNumber offnumHeadLeaf;	/* offset of head tuple in chain, if any */

	BlockNumber blknoParent;	/* where the parent downlink is, if any */
	OffsetNumber offnumParent;
	uint16		nodeI;

	/*
	 * new leaf tuple follows, on an intalign boundary (replay only needs to
	 * fetch its size field, so that should be enough alignment)
	 */
} spgxlogAddLeaf;

typedef struct spgxlogMoveLeafs
{
	RelFileNode node;

	BlockNumber blknoSrc;		/* source leaf page */
	BlockNumber blknoDst;		/* destination leaf page */
	uint16		nMoves;			/* number of tuples moved from source page */
	bool		newPage;		/* init dest page? */
	bool		replaceDead;	/* are we replacing a DEAD source tuple? */
	bool		storesNulls;	/* pages are in the nulls tree? */

	BlockNumber blknoParent;	/* where the parent downlink is */
	OffsetNumber offnumParent;
	uint16		nodeI;

	spgxlogState stateSrc;

	/*----------
	 * data follows:
	 *		array of deleted tuple numbers, length nMoves
	 *		array of inserted tuple numbers, length nMoves + 1 or 1
	 *		list of leaf tuples, length nMoves + 1 or 1 (must be maxaligned)
	 * the tuple number arrays are padded to maxalign boundaries so that the
	 * leaf tuples will be suitably aligned
	 *
	 * Note: if replaceDead is true then there is only one inserted tuple
	 * number and only one leaf tuple in the data, because we are not copying
	 * the dead tuple from the source
	 *
	 * Buffer references in the rdata array are:
	 *		Src page
	 *		Dest page
	 *		Parent page
	 *----------
	 */
} spgxlogMoveLeafs;

typedef struct spgxlogAddNode
{
	RelFileNode node;

	BlockNumber blkno;			/* block number of original inner tuple */
	OffsetNumber offnum;		/* offset of original inner tuple */

	BlockNumber blknoParent;	/* where parent downlink is, if updated */
	OffsetNumber offnumParent;
	uint16		nodeI;

	BlockNumber blknoNew;		/* where new tuple goes, if not same place */
	OffsetNumber offnumNew;
	bool		newPage;		/* init new page? */

	spgxlogState stateSrc;

	/*
	 * updated inner tuple follows, on an intalign boundary (replay only needs
	 * to fetch its size field, so that should be enough alignment)
	 */
} spgxlogAddNode;

typedef struct spgxlogSplitTuple
{
	RelFileNode node;

	BlockNumber blknoPrefix;	/* where the prefix tuple goes */
	OffsetNumber offnumPrefix;

	BlockNumber blknoPostfix;	/* where the postfix tuple goes */
	OffsetNumber offnumPostfix;
	bool		newPage;		/* need to init that page? */

	/*
	 * new prefix inner tuple follows, then new postfix inner tuple, on
	 * intalign boundaries (replay only needs to fetch size fields, so that
	 * should be enough alignment)
	 */
} spgxlogSplitTuple;

typedef struct spgxlogPickSplit
{
	RelFileNode node;

	BlockNumber blknoSrc;		/* original leaf page */
	BlockNumber blknoDest;		/* other leaf page, if any */
	uint16		nDelete;		/* n to delete from Src */
	uint16		nInsert;		/* n to insert on Src and/or Dest */
	bool		initSrc;		/* re-init the Src page? */
	bool		initDest;		/* re-init the Dest page? */

	BlockNumber blknoInner;		/* where to put new inner tuple */
	OffsetNumber offnumInner;
	bool		initInner;		/* re-init the Inner page? */

	bool		storesNulls;	/* pages are in the nulls tree? */

	BlockNumber blknoParent;	/* where the parent downlink is, if any */
	OffsetNumber offnumParent;
	uint16		nodeI;

	spgxlogState stateSrc;

	/*----------
	 * data follows:
	 *		new inner tuple (assumed to have a maxaligned length)
	 *		array of deleted tuple numbers, length nDelete
	 *		array of inserted tuple numbers, length nInsert
	 *		array of page selector bytes for inserted tuples, length nInsert
	 *		list of leaf tuples, length nInsert (must be maxaligned)
	 * the tuple number and page selector arrays are padded to maxalign
	 * boundaries so that the leaf tuples will be suitably aligned
	 *
	 * Buffer references in the rdata array are:
	 *		Src page (only if not root and not being init'd)
	 *		Dest page (if used and not being init'd)
	 *		Inner page (only if not being init'd)
	 *		Parent page (if any; could be same as Inner)
	 *----------
	 */
} spgxlogPickSplit;

typedef struct spgxlogVacuumLeaf
{
	RelFileNode node;

	BlockNumber blkno;			/* block number to clean */
	uint16		nDead;			/* number of tuples to become DEAD */
	uint16		nPlaceholder;	/* number of tuples to become PLACEHOLDER */
	uint16		nMove;			/* number of tuples to move */
	uint16		nChain;			/* number of tuples to re-chain */

	spgxlogState stateSrc;

	/*----------
	 * data follows:
	 *		tuple numbers to become DEAD
	 *		tuple numbers to become PLACEHOLDER
	 *		tuple numbers to move from (and replace with PLACEHOLDER)
	 *		tuple numbers to move to (replacing what is there)
	 *		tuple numbers to update nextOffset links of
	 *		tuple numbers to insert in nextOffset links
	 *----------
	 */
} spgxlogVacuumLeaf;

typedef struct spgxlogVacuumRoot
{
	/* vacuum a root page when it is also a leaf */
	RelFileNode node;

	BlockNumber blkno;			/* block number to clean */
	uint16		nDelete;		/* number of tuples to delete */

	spgxlogState stateSrc;

	/* offsets of tuples to delete follow */
} spgxlogVacuumRoot;

typedef struct spgxlogVacuumRedirect
{
	RelFileNode node;

	BlockNumber blkno;			/* block number to clean */
	uint16		nToPlaceholder; /* number of redirects to make placeholders */
	OffsetNumber firstPlaceholder;		/* first placeholder tuple to remove */
	TransactionId newestRedirectXid;	/* newest XID of removed redirects */

	/* offsets of redirect tuples to make placeholders follow */
} spgxlogVacuumRedirect;

/*
 * The "flags" argument for SpGistGetBuffer should be either GBUF_LEAF to
 * get a leaf page, or GBUF_INNER_PARITY(blockNumber) to get an inner
 * page in the same triple-parity group as the specified block number.
 * (Typically, this should be GBUF_INNER_PARITY(parentBlockNumber + 1)
 * to follow the rule described in spgist/README.)
 * In addition, GBUF_NULLS can be OR'd in to get a page for storage of
 * null-valued tuples.
 *
 * Note: these flag values are used as indexes into lastUsedPages.
 */
#define GBUF_LEAF				0x03
#define GBUF_INNER_PARITY(x)	((x) % 3)
#define GBUF_NULLS				0x04

#define GBUF_PARITY_MASK		0x03
#define GBUF_REQ_LEAF(flags)	(((flags) & GBUF_PARITY_MASK) == GBUF_LEAF)
#define GBUF_REQ_NULLS(flags)	((flags) & GBUF_NULLS)

/* spgutils.c */
extern SpGistCache *spgGetCache(Relation index);
extern void initSpGistState(SpGistState *state, Relation index);
extern Buffer SpGistNewBuffer(Relation index);
extern void SpGistUpdateMetaPage(Relation index);
extern Buffer SpGistGetBuffer(Relation index, int flags,
				int needSpace, bool *isNew);
extern void SpGistSetLastUsedPage(Relation index, Buffer buffer);
extern void SpGistInitPage(Page page, uint16 f);
extern void SpGistInitBuffer(Buffer b, uint16 f);
extern void SpGistInitMetapage(Page page);
extern unsigned int SpGistGetTypeSize(SpGistTypeDesc *att, Datum datum);
extern SpGistLeafTuple spgFormLeafTuple(SpGistState *state,
				 ItemPointer heapPtr,
				 Datum datum, bool isnull);
extern SpGistNodeTuple spgFormNodeTuple(SpGistState *state,
				 Datum label, bool isnull);
extern SpGistInnerTuple spgFormInnerTuple(SpGistState *state,
				  bool hasPrefix, Datum prefix,
				  int nNodes, SpGistNodeTuple *nodes);
extern SpGistDeadTuple spgFormDeadTuple(SpGistState *state, int tupstate,
				 BlockNumber blkno, OffsetNumber offnum);
extern Datum *spgExtractNodeLabels(SpGistState *state,
					 SpGistInnerTuple innerTuple);
extern OffsetNumber SpGistPageAddNewItem(SpGistState *state, Page page,
					 Item item, Size size,
					 OffsetNumber *startOffset,
					 bool errorOK);

/* spgdoinsert.c */
extern void spgUpdateNodeLink(SpGistInnerTuple tup, int nodeN,
				  BlockNumber blkno, OffsetNumber offset);
extern void spgPageIndexMultiDelete(SpGistState *state, Page page,
						OffsetNumber *itemnos, int nitems,
						int firststate, int reststate,
						BlockNumber blkno, OffsetNumber offnum);
extern void spgdoinsert(Relation index, SpGistState *state,
			ItemPointer heapPtr, Datum datum, bool isnull);

#endif   /* SPGIST_PRIVATE_H */