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+/*-------------------------------------------------------------------------
+ *
+ * nbtree.h
+ * header file for postgres btree access method implementation.
+ *
+ *
+ * Portions Copyright (c) 1996-2020, PostgreSQL Global Development Group
+ * Portions Copyright (c) 1994, Regents of the University of California
+ *
+ * src/include/access/nbtree.h
+ *
+ *-------------------------------------------------------------------------
+ */
+#ifndef NBTREE_H
+#define NBTREE_H
+
+#include "access/amapi.h"
+#include "access/itup.h"
+#include "access/sdir.h"
+#include "access/xlogreader.h"
+#include "catalog/pg_am_d.h"
+#include "catalog/pg_index.h"
+#include "lib/stringinfo.h"
+#include "storage/bufmgr.h"
+#include "storage/shm_toc.h"
+
+/* There's room for a 16-bit vacuum cycle ID in BTPageOpaqueData */
+typedef uint16 BTCycleId;
+
+/*
+ * BTPageOpaqueData -- At the end of every page, we store a pointer
+ * to both siblings in the tree. This is used to do forward/backward
+ * index scans. The next-page link is also critical for recovery when
+ * a search has navigated to the wrong page due to concurrent page splits
+ * or deletions; see src/backend/access/nbtree/README for more info.
+ *
+ * In addition, we store the page's btree level (counting upwards from
+ * zero at a leaf page) as well as some flag bits indicating the page type
+ * and status. If the page is deleted, we replace the level with the
+ * next-transaction-ID value indicating when it is safe to reclaim the page.
+ *
+ * We also store a "vacuum cycle ID". When a page is split while VACUUM is
+ * processing the index, a nonzero value associated with the VACUUM run is
+ * stored into both halves of the split page. (If VACUUM is not running,
+ * both pages receive zero cycleids.) This allows VACUUM to detect whether
+ * a page was split since it started, with a small probability of false match
+ * if the page was last split some exact multiple of MAX_BT_CYCLE_ID VACUUMs
+ * ago. Also, during a split, the BTP_SPLIT_END flag is cleared in the left
+ * (original) page, and set in the right page, but only if the next page
+ * to its right has a different cycleid.
+ *
+ * NOTE: the BTP_LEAF flag bit is redundant since level==0 could be tested
+ * instead.
+ */
+
+typedef struct BTPageOpaqueData
+{
+ BlockNumber btpo_prev; /* left sibling, or P_NONE if leftmost */
+ BlockNumber btpo_next; /* right sibling, or P_NONE if rightmost */
+ union
+ {
+ uint32 level; /* tree level --- zero for leaf pages */
+ TransactionId xact; /* next transaction ID, if deleted */
+ } btpo;
+ uint16 btpo_flags; /* flag bits, see below */
+ BTCycleId btpo_cycleid; /* vacuum cycle ID of latest split */
+} BTPageOpaqueData;
+
+typedef BTPageOpaqueData *BTPageOpaque;
+
+/* Bits defined in btpo_flags */
+#define BTP_LEAF (1 << 0) /* leaf page, i.e. not internal page */
+#define BTP_ROOT (1 << 1) /* root page (has no parent) */
+#define BTP_DELETED (1 << 2) /* page has been deleted from tree */
+#define BTP_META (1 << 3) /* meta-page */
+#define BTP_HALF_DEAD (1 << 4) /* empty, but still in tree */
+#define BTP_SPLIT_END (1 << 5) /* rightmost page of split group */
+#define BTP_HAS_GARBAGE (1 << 6) /* page has LP_DEAD tuples */
+#define BTP_INCOMPLETE_SPLIT (1 << 7) /* right sibling's downlink is missing */
+
+/*
+ * The max allowed value of a cycle ID is a bit less than 64K. This is
+ * for convenience of pg_filedump and similar utilities: we want to use
+ * the last 2 bytes of special space as an index type indicator, and
+ * restricting cycle ID lets btree use that space for vacuum cycle IDs
+ * while still allowing index type to be identified.
+ */
+#define MAX_BT_CYCLE_ID 0xFF7F
+
+
+/*
+ * The Meta page is always the first page in the btree index.
+ * Its primary purpose is to point to the location of the btree root page.
+ * We also point to the "fast" root, which is the current effective root;
+ * see README for discussion.
+ */
+
+typedef struct BTMetaPageData
+{
+ uint32 btm_magic; /* should contain BTREE_MAGIC */
+ uint32 btm_version; /* nbtree version (always <= BTREE_VERSION) */
+ BlockNumber btm_root; /* current root location */
+ uint32 btm_level; /* tree level of the root page */
+ BlockNumber btm_fastroot; /* current "fast" root location */
+ uint32 btm_fastlevel; /* tree level of the "fast" root page */
+ /* remaining fields only valid when btm_version >= BTREE_NOVAC_VERSION */
+ TransactionId btm_oldest_btpo_xact; /* oldest btpo_xact among all deleted
+ * pages */
+ float8 btm_last_cleanup_num_heap_tuples; /* number of heap tuples
+ * during last cleanup */
+ bool btm_allequalimage; /* are all columns "equalimage"? */
+} BTMetaPageData;
+
+#define BTPageGetMeta(p) \
+ ((BTMetaPageData *) PageGetContents(p))
+
+/*
+ * The current Btree version is 4. That's what you'll get when you create
+ * a new index.
+ *
+ * Btree version 3 was used in PostgreSQL v11. It is mostly the same as
+ * version 4, but heap TIDs were not part of the keyspace. Index tuples
+ * with duplicate keys could be stored in any order. We continue to
+ * support reading and writing Btree versions 2 and 3, so that they don't
+ * need to be immediately re-indexed at pg_upgrade. In order to get the
+ * new heapkeyspace semantics, however, a REINDEX is needed.
+ *
+ * Deduplication is safe to use when the btm_allequalimage field is set to
+ * true. It's safe to read the btm_allequalimage field on version 3, but
+ * only version 4 indexes make use of deduplication. Even version 4
+ * indexes created on PostgreSQL v12 will need a REINDEX to make use of
+ * deduplication, though, since there is no other way to set
+ * btm_allequalimage to true (pg_upgrade hasn't been taught to set the
+ * metapage field).
+ *
+ * Btree version 2 is mostly the same as version 3. There are two new
+ * fields in the metapage that were introduced in version 3. A version 2
+ * metapage will be automatically upgraded to version 3 on the first
+ * insert to it. INCLUDE indexes cannot use version 2.
+ */
+#define BTREE_METAPAGE 0 /* first page is meta */
+#define BTREE_MAGIC 0x053162 /* magic number in metapage */
+#define BTREE_VERSION 4 /* current version number */
+#define BTREE_MIN_VERSION 2 /* minimum supported version */
+#define BTREE_NOVAC_VERSION 3 /* version with all meta fields set */
+
+/*
+ * Maximum size of a btree index entry, including its tuple header.
+ *
+ * We actually need to be able to fit three items on every page,
+ * so restrict any one item to 1/3 the per-page available space.
+ *
+ * There are rare cases where _bt_truncate() will need to enlarge
+ * a heap index tuple to make space for a tiebreaker heap TID
+ * attribute, which we account for here.
+ */
+#define BTMaxItemSize(page) \
+ MAXALIGN_DOWN((PageGetPageSize(page) - \
+ MAXALIGN(SizeOfPageHeaderData + \
+ 3*sizeof(ItemIdData) + \
+ 3*sizeof(ItemPointerData)) - \
+ MAXALIGN(sizeof(BTPageOpaqueData))) / 3)
+#define BTMaxItemSizeNoHeapTid(page) \
+ MAXALIGN_DOWN((PageGetPageSize(page) - \
+ MAXALIGN(SizeOfPageHeaderData + 3*sizeof(ItemIdData)) - \
+ MAXALIGN(sizeof(BTPageOpaqueData))) / 3)
+
+/*
+ * MaxTIDsPerBTreePage is an upper bound on the number of heap TIDs tuples
+ * that may be stored on a btree leaf page. It is used to size the
+ * per-page temporary buffers used by index scans.
+ *
+ * Note: we don't bother considering per-tuple overheads here to keep
+ * things simple (value is based on how many elements a single array of
+ * heap TIDs must have to fill the space between the page header and
+ * special area). The value is slightly higher (i.e. more conservative)
+ * than necessary as a result, which is considered acceptable.
+ */
+#define MaxTIDsPerBTreePage \
+ (int) ((BLCKSZ - SizeOfPageHeaderData - sizeof(BTPageOpaqueData)) / \
+ sizeof(ItemPointerData))
+
+/*
+ * The leaf-page fillfactor defaults to 90% but is user-adjustable.
+ * For pages above the leaf level, we use a fixed 70% fillfactor.
+ * The fillfactor is applied during index build and when splitting
+ * a rightmost page; when splitting non-rightmost pages we try to
+ * divide the data equally. When splitting a page that's entirely
+ * filled with a single value (duplicates), the effective leaf-page
+ * fillfactor is 96%, regardless of whether the page is a rightmost
+ * page.
+ */
+#define BTREE_MIN_FILLFACTOR 10
+#define BTREE_DEFAULT_FILLFACTOR 90
+#define BTREE_NONLEAF_FILLFACTOR 70
+#define BTREE_SINGLEVAL_FILLFACTOR 96
+
+/*
+ * In general, the btree code tries to localize its knowledge about
+ * page layout to a couple of routines. However, we need a special
+ * value to indicate "no page number" in those places where we expect
+ * page numbers. We can use zero for this because we never need to
+ * make a pointer to the metadata page.
+ */
+
+#define P_NONE 0
+
+/*
+ * Macros to test whether a page is leftmost or rightmost on its tree level,
+ * as well as other state info kept in the opaque data.
+ */
+#define P_LEFTMOST(opaque) ((opaque)->btpo_prev == P_NONE)
+#define P_RIGHTMOST(opaque) ((opaque)->btpo_next == P_NONE)
+#define P_ISLEAF(opaque) (((opaque)->btpo_flags & BTP_LEAF) != 0)
+#define P_ISROOT(opaque) (((opaque)->btpo_flags & BTP_ROOT) != 0)
+#define P_ISDELETED(opaque) (((opaque)->btpo_flags & BTP_DELETED) != 0)
+#define P_ISMETA(opaque) (((opaque)->btpo_flags & BTP_META) != 0)
+#define P_ISHALFDEAD(opaque) (((opaque)->btpo_flags & BTP_HALF_DEAD) != 0)
+#define P_IGNORE(opaque) (((opaque)->btpo_flags & (BTP_DELETED|BTP_HALF_DEAD)) != 0)
+#define P_HAS_GARBAGE(opaque) (((opaque)->btpo_flags & BTP_HAS_GARBAGE) != 0)
+#define P_INCOMPLETE_SPLIT(opaque) (((opaque)->btpo_flags & BTP_INCOMPLETE_SPLIT) != 0)
+
+/*
+ * Lehman and Yao's algorithm requires a ``high key'' on every non-rightmost
+ * page. The high key is not a tuple that is used to visit the heap. It is
+ * a pivot tuple (see "Notes on B-Tree tuple format" below for definition).
+ * The high key on a page is required to be greater than or equal to any
+ * other key that appears on the page. If we find ourselves trying to
+ * insert a key that is strictly > high key, we know we need to move right
+ * (this should only happen if the page was split since we examined the
+ * parent page).
+ *
+ * Our insertion algorithm guarantees that we can use the initial least key
+ * on our right sibling as the high key. Once a page is created, its high
+ * key changes only if the page is split.
+ *
+ * On a non-rightmost page, the high key lives in item 1 and data items
+ * start in item 2. Rightmost pages have no high key, so we store data
+ * items beginning in item 1.
+ */
+
+#define P_HIKEY ((OffsetNumber) 1)
+#define P_FIRSTKEY ((OffsetNumber) 2)
+#define P_FIRSTDATAKEY(opaque) (P_RIGHTMOST(opaque) ? P_HIKEY : P_FIRSTKEY)
+
+/*
+ * Notes on B-Tree tuple format, and key and non-key attributes:
+ *
+ * INCLUDE B-Tree indexes have non-key attributes. These are extra
+ * attributes that may be returned by index-only scans, but do not influence
+ * the order of items in the index (formally, non-key attributes are not
+ * considered to be part of the key space). Non-key attributes are only
+ * present in leaf index tuples whose item pointers actually point to heap
+ * tuples (non-pivot tuples). _bt_check_natts() enforces the rules
+ * described here.
+ *
+ * Non-pivot tuple format (plain/non-posting variant):
+ *
+ * t_tid | t_info | key values | INCLUDE columns, if any
+ *
+ * t_tid points to the heap TID, which is a tiebreaker key column as of
+ * BTREE_VERSION 4.
+ *
+ * Non-pivot tuples complement pivot tuples, which only have key columns.
+ * The sole purpose of pivot tuples is to represent how the key space is
+ * separated. In general, any B-Tree index that has more than one level
+ * (i.e. any index that does not just consist of a metapage and a single
+ * leaf root page) must have some number of pivot tuples, since pivot
+ * tuples are used for traversing the tree. Suffix truncation can omit
+ * trailing key columns when a new pivot is formed, which makes minus
+ * infinity their logical value. Since BTREE_VERSION 4 indexes treat heap
+ * TID as a trailing key column that ensures that all index tuples are
+ * physically unique, it is necessary to represent heap TID as a trailing
+ * key column in pivot tuples, though very often this can be truncated
+ * away, just like any other key column. (Actually, the heap TID is
+ * omitted rather than truncated, since its representation is different to
+ * the non-pivot representation.)
+ *
+ * Pivot tuple format:
+ *
+ * t_tid | t_info | key values | [heap TID]
+ *
+ * We store the number of columns present inside pivot tuples by abusing
+ * their t_tid offset field, since pivot tuples never need to store a real
+ * offset (pivot tuples generally store a downlink in t_tid, though). The
+ * offset field only stores the number of columns/attributes when the
+ * INDEX_ALT_TID_MASK bit is set, which doesn't count the trailing heap
+ * TID column sometimes stored in pivot tuples -- that's represented by
+ * the presence of BT_PIVOT_HEAP_TID_ATTR. The INDEX_ALT_TID_MASK bit in
+ * t_info is always set on BTREE_VERSION 4 pivot tuples, since
+ * BTreeTupleIsPivot() must work reliably on heapkeyspace versions.
+ *
+ * In version 2 or version 3 (!heapkeyspace) indexes, INDEX_ALT_TID_MASK
+ * might not be set in pivot tuples. BTreeTupleIsPivot() won't work
+ * reliably as a result. The number of columns stored is implicitly the
+ * same as the number of columns in the index, just like any non-pivot
+ * tuple. (The number of columns stored should not vary, since suffix
+ * truncation of key columns is unsafe within any !heapkeyspace index.)
+ *
+ * The 12 least significant bits from t_tid's offset number are used to
+ * represent the number of key columns within a pivot tuple. This leaves 4
+ * status bits (BT_STATUS_OFFSET_MASK bits), which are shared by all tuples
+ * that have the INDEX_ALT_TID_MASK bit set (set in t_info) to store basic
+ * tuple metadata. BTreeTupleIsPivot() and BTreeTupleIsPosting() use the
+ * BT_STATUS_OFFSET_MASK bits.
+ *
+ * Sometimes non-pivot tuples also use a representation that repurposes
+ * t_tid to store metadata rather than a TID. PostgreSQL v13 introduced a
+ * new non-pivot tuple format to support deduplication: posting list
+ * tuples. Deduplication merges together multiple equal non-pivot tuples
+ * into a logically equivalent, space efficient representation. A posting
+ * list is an array of ItemPointerData elements. Non-pivot tuples are
+ * merged together to form posting list tuples lazily, at the point where
+ * we'd otherwise have to split a leaf page.
+ *
+ * Posting tuple format (alternative non-pivot tuple representation):
+ *
+ * t_tid | t_info | key values | posting list (TID array)
+ *
+ * Posting list tuples are recognized as such by having the
+ * INDEX_ALT_TID_MASK status bit set in t_info and the BT_IS_POSTING status
+ * bit set in t_tid's offset number. These flags redefine the content of
+ * the posting tuple's t_tid to store the location of the posting list
+ * (instead of a block number), as well as the total number of heap TIDs
+ * present in the tuple (instead of a real offset number).
+ *
+ * The 12 least significant bits from t_tid's offset number are used to
+ * represent the number of heap TIDs present in the tuple, leaving 4 status
+ * bits (the BT_STATUS_OFFSET_MASK bits). Like any non-pivot tuple, the
+ * number of columns stored is always implicitly the total number in the
+ * index (in practice there can never be non-key columns stored, since
+ * deduplication is not supported with INCLUDE indexes).
+ */
+#define INDEX_ALT_TID_MASK INDEX_AM_RESERVED_BIT
+
+/* Item pointer offset bit masks */
+#define BT_OFFSET_MASK 0x0FFF
+#define BT_STATUS_OFFSET_MASK 0xF000
+/* BT_STATUS_OFFSET_MASK status bits */
+#define BT_PIVOT_HEAP_TID_ATTR 0x1000
+#define BT_IS_POSTING 0x2000
+
+/*
+ * Note: BTreeTupleIsPivot() can have false negatives (but not false
+ * positives) when used with !heapkeyspace indexes
+ */
+static inline bool
+BTreeTupleIsPivot(IndexTuple itup)
+{
+ if ((itup->t_info & INDEX_ALT_TID_MASK) == 0)
+ return false;
+ /* absence of BT_IS_POSTING in offset number indicates pivot tuple */
+ if ((ItemPointerGetOffsetNumberNoCheck(&itup->t_tid) & BT_IS_POSTING) != 0)
+ return false;
+
+ return true;
+}
+
+static inline bool
+BTreeTupleIsPosting(IndexTuple itup)
+{
+ if ((itup->t_info & INDEX_ALT_TID_MASK) == 0)
+ return false;
+ /* presence of BT_IS_POSTING in offset number indicates posting tuple */
+ if ((ItemPointerGetOffsetNumberNoCheck(&itup->t_tid) & BT_IS_POSTING) == 0)
+ return false;
+
+ return true;
+}
+
+static inline void
+BTreeTupleSetPosting(IndexTuple itup, uint16 nhtids, int postingoffset)
+{
+ Assert(nhtids > 1);
+ Assert((nhtids & BT_STATUS_OFFSET_MASK) == 0);
+ Assert((size_t) postingoffset == MAXALIGN(postingoffset));
+ Assert(postingoffset < INDEX_SIZE_MASK);
+ Assert(!BTreeTupleIsPivot(itup));
+
+ itup->t_info |= INDEX_ALT_TID_MASK;
+ ItemPointerSetOffsetNumber(&itup->t_tid, (nhtids | BT_IS_POSTING));
+ ItemPointerSetBlockNumber(&itup->t_tid, postingoffset);
+}
+
+static inline uint16
+BTreeTupleGetNPosting(IndexTuple posting)
+{
+ OffsetNumber existing;
+
+ Assert(BTreeTupleIsPosting(posting));
+
+ existing = ItemPointerGetOffsetNumberNoCheck(&posting->t_tid);
+ return (existing & BT_OFFSET_MASK);
+}
+
+static inline uint32
+BTreeTupleGetPostingOffset(IndexTuple posting)
+{
+ Assert(BTreeTupleIsPosting(posting));
+
+ return ItemPointerGetBlockNumberNoCheck(&posting->t_tid);
+}
+
+static inline ItemPointer
+BTreeTupleGetPosting(IndexTuple posting)
+{
+ return (ItemPointer) ((char *) posting +
+ BTreeTupleGetPostingOffset(posting));
+}
+
+static inline ItemPointer
+BTreeTupleGetPostingN(IndexTuple posting, int n)
+{
+ return BTreeTupleGetPosting(posting) + n;
+}
+
+/*
+ * Get/set downlink block number in pivot tuple.
+ *
+ * Note: Cannot assert that tuple is a pivot tuple. If we did so then
+ * !heapkeyspace indexes would exhibit false positive assertion failures.
+ */
+static inline BlockNumber
+BTreeTupleGetDownLink(IndexTuple pivot)
+{
+ return ItemPointerGetBlockNumberNoCheck(&pivot->t_tid);
+}
+
+static inline void
+BTreeTupleSetDownLink(IndexTuple pivot, BlockNumber blkno)
+{
+ ItemPointerSetBlockNumber(&pivot->t_tid, blkno);
+}
+
+/*
+ * Get number of attributes within tuple.
+ *
+ * Note that this does not include an implicit tiebreaker heap TID
+ * attribute, if any. Note also that the number of key attributes must be
+ * explicitly represented in all heapkeyspace pivot tuples.
+ *
+ * Note: This is defined as a macro rather than an inline function to
+ * avoid including rel.h.
+ */
+#define BTreeTupleGetNAtts(itup, rel) \
+ ( \
+ (BTreeTupleIsPivot(itup)) ? \
+ ( \
+ ItemPointerGetOffsetNumberNoCheck(&(itup)->t_tid) & BT_OFFSET_MASK \
+ ) \
+ : \
+ IndexRelationGetNumberOfAttributes(rel) \
+ )
+
+/*
+ * Set number of key attributes in tuple.
+ *
+ * The heap TID tiebreaker attribute bit may also be set here, indicating that
+ * a heap TID value will be stored at the end of the tuple (i.e. using the
+ * special pivot tuple representation).
+ */
+static inline void
+BTreeTupleSetNAtts(IndexTuple itup, uint16 nkeyatts, bool heaptid)
+{
+ Assert(nkeyatts <= INDEX_MAX_KEYS);
+ Assert((nkeyatts & BT_STATUS_OFFSET_MASK) == 0);
+ Assert(!heaptid || nkeyatts > 0);
+ Assert(!BTreeTupleIsPivot(itup) || nkeyatts == 0);
+
+ itup->t_info |= INDEX_ALT_TID_MASK;
+
+ if (heaptid)
+ nkeyatts |= BT_PIVOT_HEAP_TID_ATTR;
+
+ /* BT_IS_POSTING bit is deliberately unset here */
+ ItemPointerSetOffsetNumber(&itup->t_tid, nkeyatts);
+ Assert(BTreeTupleIsPivot(itup));
+}
+
+/*
+ * Get/set leaf page's "top parent" link from its high key. Used during page
+ * deletion.
+ *
+ * Note: Cannot assert that tuple is a pivot tuple. If we did so then
+ * !heapkeyspace indexes would exhibit false positive assertion failures.
+ */
+static inline BlockNumber
+BTreeTupleGetTopParent(IndexTuple leafhikey)
+{
+ return ItemPointerGetBlockNumberNoCheck(&leafhikey->t_tid);
+}
+
+static inline void
+BTreeTupleSetTopParent(IndexTuple leafhikey, BlockNumber blkno)
+{
+ ItemPointerSetBlockNumber(&leafhikey->t_tid, blkno);
+ BTreeTupleSetNAtts(leafhikey, 0, false);
+}
+
+/*
+ * Get tiebreaker heap TID attribute, if any.
+ *
+ * This returns the first/lowest heap TID in the case of a posting list tuple.
+ */
+static inline ItemPointer
+BTreeTupleGetHeapTID(IndexTuple itup)
+{
+ if (BTreeTupleIsPivot(itup))
+ {
+ /* Pivot tuple heap TID representation? */
+ if ((ItemPointerGetOffsetNumberNoCheck(&itup->t_tid) &
+ BT_PIVOT_HEAP_TID_ATTR) != 0)
+ return (ItemPointer) ((char *) itup + IndexTupleSize(itup) -
+ sizeof(ItemPointerData));
+
+ /* Heap TID attribute was truncated */
+ return NULL;
+ }
+ else if (BTreeTupleIsPosting(itup))
+ return BTreeTupleGetPosting(itup);
+
+ return &itup->t_tid;
+}
+
+/*
+ * Get maximum heap TID attribute, which could be the only TID in the case of
+ * a non-pivot tuple that does not have a posting list tuple.
+ *
+ * Works with non-pivot tuples only.
+ */
+static inline ItemPointer
+BTreeTupleGetMaxHeapTID(IndexTuple itup)
+{
+ Assert(!BTreeTupleIsPivot(itup));
+
+ if (BTreeTupleIsPosting(itup))
+ {
+ uint16 nposting = BTreeTupleGetNPosting(itup);
+
+ return BTreeTupleGetPostingN(itup, nposting - 1);
+ }
+
+ return &itup->t_tid;
+}
+
+/*
+ * Operator strategy numbers for B-tree have been moved to access/stratnum.h,
+ * because many places need to use them in ScanKeyInit() calls.
+ *
+ * The strategy numbers are chosen so that we can commute them by
+ * subtraction, thus:
+ */
+#define BTCommuteStrategyNumber(strat) (BTMaxStrategyNumber + 1 - (strat))
+
+/*
+ * When a new operator class is declared, we require that the user
+ * supply us with an amproc procedure (BTORDER_PROC) for determining
+ * whether, for two keys a and b, a < b, a = b, or a > b. This routine
+ * must return < 0, 0, > 0, respectively, in these three cases.
+ *
+ * To facilitate accelerated sorting, an operator class may choose to
+ * offer a second procedure (BTSORTSUPPORT_PROC). For full details, see
+ * src/include/utils/sortsupport.h.
+ *
+ * To support window frames defined by "RANGE offset PRECEDING/FOLLOWING",
+ * an operator class may choose to offer a third amproc procedure
+ * (BTINRANGE_PROC), independently of whether it offers sortsupport.
+ * For full details, see doc/src/sgml/btree.sgml.
+ *
+ * To facilitate B-Tree deduplication, an operator class may choose to
+ * offer a forth amproc procedure (BTEQUALIMAGE_PROC). For full details,
+ * see doc/src/sgml/btree.sgml.
+ */
+
+#define BTORDER_PROC 1
+#define BTSORTSUPPORT_PROC 2
+#define BTINRANGE_PROC 3
+#define BTEQUALIMAGE_PROC 4
+#define BTOPTIONS_PROC 5
+#define BTNProcs 5
+
+/*
+ * We need to be able to tell the difference between read and write
+ * requests for pages, in order to do locking correctly.
+ */
+
+#define BT_READ BUFFER_LOCK_SHARE
+#define BT_WRITE BUFFER_LOCK_EXCLUSIVE
+
+/*
+ * BTStackData -- As we descend a tree, we push the location of pivot
+ * tuples whose downlink we are about to follow onto a private stack. If
+ * we split a leaf, we use this stack to walk back up the tree and insert
+ * data into its parent page at the correct location. We also have to
+ * recursively insert into the grandparent page if and when the parent page
+ * splits. Our private stack can become stale due to concurrent page
+ * splits and page deletions, but it should never give us an irredeemably
+ * bad picture.
+ */
+typedef struct BTStackData
+{
+ BlockNumber bts_blkno;
+ OffsetNumber bts_offset;
+ struct BTStackData *bts_parent;
+} BTStackData;
+
+typedef BTStackData *BTStack;
+
+/*
+ * BTScanInsertData is the btree-private state needed to find an initial
+ * position for an indexscan, or to insert new tuples -- an "insertion
+ * scankey" (not to be confused with a search scankey). It's used to descend
+ * a B-Tree using _bt_search.
+ *
+ * heapkeyspace indicates if we expect all keys in the index to be physically
+ * unique because heap TID is used as a tiebreaker attribute, and if index may
+ * have truncated key attributes in pivot tuples. This is actually a property
+ * of the index relation itself (not an indexscan). heapkeyspace indexes are
+ * indexes whose version is >= version 4. It's convenient to keep this close
+ * by, rather than accessing the metapage repeatedly.
+ *
+ * allequalimage is set to indicate that deduplication is safe for the index.
+ * This is also a property of the index relation rather than an indexscan.
+ *
+ * anynullkeys indicates if any of the keys had NULL value when scankey was
+ * built from index tuple (note that already-truncated tuple key attributes
+ * set NULL as a placeholder key value, which also affects value of
+ * anynullkeys). This is a convenience for unique index non-pivot tuple
+ * insertion, which usually temporarily unsets scantid, but shouldn't iff
+ * anynullkeys is true. Value generally matches non-pivot tuple's HasNulls
+ * bit, but may not when inserting into an INCLUDE index (tuple header value
+ * is affected by the NULL-ness of both key and non-key attributes).
+ *
+ * When nextkey is false (the usual case), _bt_search and _bt_binsrch will
+ * locate the first item >= scankey. When nextkey is true, they will locate
+ * the first item > scan key.
+ *
+ * pivotsearch is set to true by callers that want to re-find a leaf page
+ * using a scankey built from a leaf page's high key. Most callers set this
+ * to false.
+ *
+ * scantid is the heap TID that is used as a final tiebreaker attribute. It
+ * is set to NULL when index scan doesn't need to find a position for a
+ * specific physical tuple. Must be set when inserting new tuples into
+ * heapkeyspace indexes, since every tuple in the tree unambiguously belongs
+ * in one exact position (it's never set with !heapkeyspace indexes, though).
+ * Despite the representational difference, nbtree search code considers
+ * scantid to be just another insertion scankey attribute.
+ *
+ * scankeys is an array of scan key entries for attributes that are compared
+ * before scantid (user-visible attributes). keysz is the size of the array.
+ * During insertion, there must be a scan key for every attribute, but when
+ * starting a regular index scan some can be omitted. The array is used as a
+ * flexible array member, though it's sized in a way that makes it possible to
+ * use stack allocations. See nbtree/README for full details.
+ */
+typedef struct BTScanInsertData
+{
+ bool heapkeyspace;
+ bool allequalimage;
+ bool anynullkeys;
+ bool nextkey;
+ bool pivotsearch;
+ ItemPointer scantid; /* tiebreaker for scankeys */
+ int keysz; /* Size of scankeys array */
+ ScanKeyData scankeys[INDEX_MAX_KEYS]; /* Must appear last */
+} BTScanInsertData;
+
+typedef BTScanInsertData *BTScanInsert;
+
+/*
+ * BTInsertStateData is a working area used during insertion.
+ *
+ * This is filled in after descending the tree to the first leaf page the new
+ * tuple might belong on. Tracks the current position while performing
+ * uniqueness check, before we have determined which exact page to insert
+ * to.
+ *
+ * (This should be private to nbtinsert.c, but it's also used by
+ * _bt_binsrch_insert)
+ */
+typedef struct BTInsertStateData
+{
+ IndexTuple itup; /* Item we're inserting */
+ Size itemsz; /* Size of itup -- should be MAXALIGN()'d */
+ BTScanInsert itup_key; /* Insertion scankey */
+
+ /* Buffer containing leaf page we're likely to insert itup on */
+ Buffer buf;
+
+ /*
+ * Cache of bounds within the current buffer. Only used for insertions
+ * where _bt_check_unique is called. See _bt_binsrch_insert and
+ * _bt_findinsertloc for details.
+ */
+ bool bounds_valid;
+ OffsetNumber low;
+ OffsetNumber stricthigh;
+
+ /*
+ * if _bt_binsrch_insert found the location inside existing posting list,
+ * save the position inside the list. -1 sentinel value indicates overlap
+ * with an existing posting list tuple that has its LP_DEAD bit set.
+ */
+ int postingoff;
+} BTInsertStateData;
+
+typedef BTInsertStateData *BTInsertState;
+
+/*
+ * State used to representing an individual pending tuple during
+ * deduplication.
+ */
+typedef struct BTDedupInterval
+{
+ OffsetNumber baseoff;
+ uint16 nitems;
+} BTDedupInterval;
+
+/*
+ * BTDedupStateData is a working area used during deduplication.
+ *
+ * The status info fields track the state of a whole-page deduplication pass.
+ * State about the current pending posting list is also tracked.
+ *
+ * A pending posting list is comprised of a contiguous group of equal items
+ * from the page, starting from page offset number 'baseoff'. This is the
+ * offset number of the "base" tuple for new posting list. 'nitems' is the
+ * current total number of existing items from the page that will be merged to
+ * make a new posting list tuple, including the base tuple item. (Existing
+ * items may themselves be posting list tuples, or regular non-pivot tuples.)
+ *
+ * The total size of the existing tuples to be freed when pending posting list
+ * is processed gets tracked by 'phystupsize'. This information allows
+ * deduplication to calculate the space saving for each new posting list
+ * tuple, and for the entire pass over the page as a whole.
+ */
+typedef struct BTDedupStateData
+{
+ /* Deduplication status info for entire pass over page */
+ bool deduplicate; /* Still deduplicating page? */
+ int nmaxitems; /* Number of max-sized tuples so far */
+ Size maxpostingsize; /* Limit on size of final tuple */
+
+ /* Metadata about base tuple of current pending posting list */
+ IndexTuple base; /* Use to form new posting list */
+ OffsetNumber baseoff; /* page offset of base */
+ Size basetupsize; /* base size without original posting list */
+
+ /* Other metadata about pending posting list */
+ ItemPointer htids; /* Heap TIDs in pending posting list */
+ int nhtids; /* Number of heap TIDs in htids array */
+ int nitems; /* Number of existing tuples/line pointers */
+ Size phystupsize; /* Includes line pointer overhead */
+
+ /*
+ * Array of tuples to go on new version of the page. Contains one entry
+ * for each group of consecutive items. Note that existing tuples that
+ * will not become posting list tuples do not appear in the array (they
+ * are implicitly unchanged by deduplication pass).
+ */
+ int nintervals; /* current number of intervals in array */
+ BTDedupInterval intervals[MaxIndexTuplesPerPage];
+} BTDedupStateData;
+
+typedef BTDedupStateData *BTDedupState;
+
+/*
+ * BTVacuumPostingData is state that represents how to VACUUM a posting list
+ * tuple when some (though not all) of its TIDs are to be deleted.
+ *
+ * Convention is that itup field is the original posting list tuple on input,
+ * and palloc()'d final tuple used to overwrite existing tuple on output.
+ */
+typedef struct BTVacuumPostingData
+{
+ /* Tuple that will be/was updated */
+ IndexTuple itup;
+ OffsetNumber updatedoffset;
+
+ /* State needed to describe final itup in WAL */
+ uint16 ndeletedtids;
+ uint16 deletetids[FLEXIBLE_ARRAY_MEMBER];
+} BTVacuumPostingData;
+
+typedef BTVacuumPostingData *BTVacuumPosting;
+
+/*
+ * BTScanOpaqueData is the btree-private state needed for an indexscan.
+ * This consists of preprocessed scan keys (see _bt_preprocess_keys() for
+ * details of the preprocessing), information about the current location
+ * of the scan, and information about the marked location, if any. (We use
+ * BTScanPosData to represent the data needed for each of current and marked
+ * locations.) In addition we can remember some known-killed index entries
+ * that must be marked before we can move off the current page.
+ *
+ * Index scans work a page at a time: we pin and read-lock the page, identify
+ * all the matching items on the page and save them in BTScanPosData, then
+ * release the read-lock while returning the items to the caller for
+ * processing. This approach minimizes lock/unlock traffic. Note that we
+ * keep the pin on the index page until the caller is done with all the items
+ * (this is needed for VACUUM synchronization, see nbtree/README). When we
+ * are ready to step to the next page, if the caller has told us any of the
+ * items were killed, we re-lock the page to mark them killed, then unlock.
+ * Finally we drop the pin and step to the next page in the appropriate
+ * direction.
+ *
+ * If we are doing an index-only scan, we save the entire IndexTuple for each
+ * matched item, otherwise only its heap TID and offset. The IndexTuples go
+ * into a separate workspace array; each BTScanPosItem stores its tuple's
+ * offset within that array. Posting list tuples store a "base" tuple once,
+ * allowing the same key to be returned for each TID in the posting list
+ * tuple.
+ */
+
+typedef struct BTScanPosItem /* what we remember about each match */
+{
+ ItemPointerData heapTid; /* TID of referenced heap item */
+ OffsetNumber indexOffset; /* index item's location within page */
+ LocationIndex tupleOffset; /* IndexTuple's offset in workspace, if any */
+} BTScanPosItem;
+
+typedef struct BTScanPosData
+{
+ Buffer buf; /* if valid, the buffer is pinned */
+
+ XLogRecPtr lsn; /* pos in the WAL stream when page was read */
+ BlockNumber currPage; /* page referenced by items array */
+ BlockNumber nextPage; /* page's right link when we scanned it */
+
+ /*
+ * moreLeft and moreRight track whether we think there may be matching
+ * index entries to the left and right of the current page, respectively.
+ * We can clear the appropriate one of these flags when _bt_checkkeys()
+ * returns continuescan = false.
+ */
+ bool moreLeft;
+ bool moreRight;
+
+ /*
+ * If we are doing an index-only scan, nextTupleOffset is the first free
+ * location in the associated tuple storage workspace.
+ */
+ int nextTupleOffset;
+
+ /*
+ * The items array is always ordered in index order (ie, increasing
+ * indexoffset). When scanning backwards it is convenient to fill the
+ * array back-to-front, so we start at the last slot and fill downwards.
+ * Hence we need both a first-valid-entry and a last-valid-entry counter.
+ * itemIndex is a cursor showing which entry was last returned to caller.
+ */
+ int firstItem; /* first valid index in items[] */
+ int lastItem; /* last valid index in items[] */
+ int itemIndex; /* current index in items[] */
+
+ BTScanPosItem items[MaxTIDsPerBTreePage]; /* MUST BE LAST */
+} BTScanPosData;
+
+typedef BTScanPosData *BTScanPos;
+
+#define BTScanPosIsPinned(scanpos) \
+( \
+ AssertMacro(BlockNumberIsValid((scanpos).currPage) || \
+ !BufferIsValid((scanpos).buf)), \
+ BufferIsValid((scanpos).buf) \
+)
+#define BTScanPosUnpin(scanpos) \
+ do { \
+ ReleaseBuffer((scanpos).buf); \
+ (scanpos).buf = InvalidBuffer; \
+ } while (0)
+#define BTScanPosUnpinIfPinned(scanpos) \
+ do { \
+ if (BTScanPosIsPinned(scanpos)) \
+ BTScanPosUnpin(scanpos); \
+ } while (0)
+
+#define BTScanPosIsValid(scanpos) \
+( \
+ AssertMacro(BlockNumberIsValid((scanpos).currPage) || \
+ !BufferIsValid((scanpos).buf)), \
+ BlockNumberIsValid((scanpos).currPage) \
+)
+#define BTScanPosInvalidate(scanpos) \
+ do { \
+ (scanpos).currPage = InvalidBlockNumber; \
+ (scanpos).nextPage = InvalidBlockNumber; \
+ (scanpos).buf = InvalidBuffer; \
+ (scanpos).lsn = InvalidXLogRecPtr; \
+ (scanpos).nextTupleOffset = 0; \
+ } while (0)
+
+/* We need one of these for each equality-type SK_SEARCHARRAY scan key */
+typedef struct BTArrayKeyInfo
+{
+ int scan_key; /* index of associated key in arrayKeyData */
+ int cur_elem; /* index of current element in elem_values */
+ int mark_elem; /* index of marked element in elem_values */
+ int num_elems; /* number of elems in current array value */
+ Datum *elem_values; /* array of num_elems Datums */
+} BTArrayKeyInfo;
+
+typedef struct BTScanOpaqueData
+{
+ /* these fields are set by _bt_preprocess_keys(): */
+ bool qual_ok; /* false if qual can never be satisfied */
+ int numberOfKeys; /* number of preprocessed scan keys */
+ ScanKey keyData; /* array of preprocessed scan keys */
+
+ /* workspace for SK_SEARCHARRAY support */
+ ScanKey arrayKeyData; /* modified copy of scan->keyData */
+ int numArrayKeys; /* number of equality-type array keys (-1 if
+ * there are any unsatisfiable array keys) */
+ int arrayKeyCount; /* count indicating number of array scan keys
+ * processed */
+ BTArrayKeyInfo *arrayKeys; /* info about each equality-type array key */
+ MemoryContext arrayContext; /* scan-lifespan context for array data */
+
+ /* info about killed items if any (killedItems is NULL if never used) */
+ int *killedItems; /* currPos.items indexes of killed items */
+ int numKilled; /* number of currently stored items */
+
+ /*
+ * If we are doing an index-only scan, these are the tuple storage
+ * workspaces for the currPos and markPos respectively. Each is of size
+ * BLCKSZ, so it can hold as much as a full page's worth of tuples.
+ */
+ char *currTuples; /* tuple storage for currPos */
+ char *markTuples; /* tuple storage for markPos */
+
+ /*
+ * If the marked position is on the same page as current position, we
+ * don't use markPos, but just keep the marked itemIndex in markItemIndex
+ * (all the rest of currPos is valid for the mark position). Hence, to
+ * determine if there is a mark, first look at markItemIndex, then at
+ * markPos.
+ */
+ int markItemIndex; /* itemIndex, or -1 if not valid */
+
+ /* keep these last in struct for efficiency */
+ BTScanPosData currPos; /* current position data */
+ BTScanPosData markPos; /* marked position, if any */
+} BTScanOpaqueData;
+
+typedef BTScanOpaqueData *BTScanOpaque;
+
+/*
+ * We use some private sk_flags bits in preprocessed scan keys. We're allowed
+ * to use bits 16-31 (see skey.h). The uppermost bits are copied from the
+ * index's indoption[] array entry for the index attribute.
+ */
+#define SK_BT_REQFWD 0x00010000 /* required to continue forward scan */
+#define SK_BT_REQBKWD 0x00020000 /* required to continue backward scan */
+#define SK_BT_INDOPTION_SHIFT 24 /* must clear the above bits */
+#define SK_BT_DESC (INDOPTION_DESC << SK_BT_INDOPTION_SHIFT)
+#define SK_BT_NULLS_FIRST (INDOPTION_NULLS_FIRST << SK_BT_INDOPTION_SHIFT)
+
+typedef struct BTOptions
+{
+ int32 varlena_header_; /* varlena header (do not touch directly!) */
+ int fillfactor; /* page fill factor in percent (0..100) */
+ /* fraction of newly inserted tuples prior to trigger index cleanup */
+ float8 vacuum_cleanup_index_scale_factor;
+ bool deduplicate_items; /* Try to deduplicate items? */
+} BTOptions;
+
+#define BTGetFillFactor(relation) \
+ (AssertMacro(relation->rd_rel->relkind == RELKIND_INDEX && \
+ relation->rd_rel->relam == BTREE_AM_OID), \
+ (relation)->rd_options ? \
+ ((BTOptions *) (relation)->rd_options)->fillfactor : \
+ BTREE_DEFAULT_FILLFACTOR)
+#define BTGetTargetPageFreeSpace(relation) \
+ (BLCKSZ * (100 - BTGetFillFactor(relation)) / 100)
+#define BTGetDeduplicateItems(relation) \
+ (AssertMacro(relation->rd_rel->relkind == RELKIND_INDEX && \
+ relation->rd_rel->relam == BTREE_AM_OID), \
+ ((relation)->rd_options ? \
+ ((BTOptions *) (relation)->rd_options)->deduplicate_items : true))
+
+/*
+ * Constant definition for progress reporting. Phase numbers must match
+ * btbuildphasename.
+ */
+/* PROGRESS_CREATEIDX_SUBPHASE_INITIALIZE is 1 (see progress.h) */
+#define PROGRESS_BTREE_PHASE_INDEXBUILD_TABLESCAN 2
+#define PROGRESS_BTREE_PHASE_PERFORMSORT_1 3
+#define PROGRESS_BTREE_PHASE_PERFORMSORT_2 4
+#define PROGRESS_BTREE_PHASE_LEAF_LOAD 5
+
+/*
+ * external entry points for btree, in nbtree.c
+ */
+extern void btbuildempty(Relation index);
+extern bool btinsert(Relation rel, Datum *values, bool *isnull,
+ ItemPointer ht_ctid, Relation heapRel,
+ IndexUniqueCheck checkUnique,
+ struct IndexInfo *indexInfo);
+extern IndexScanDesc btbeginscan(Relation rel, int nkeys, int norderbys);
+extern Size btestimateparallelscan(void);
+extern void btinitparallelscan(void *target);
+extern bool btgettuple(IndexScanDesc scan, ScanDirection dir);
+extern int64 btgetbitmap(IndexScanDesc scan, TIDBitmap *tbm);
+extern void btrescan(IndexScanDesc scan, ScanKey scankey, int nscankeys,
+ ScanKey orderbys, int norderbys);
+extern void btparallelrescan(IndexScanDesc scan);
+extern void btendscan(IndexScanDesc scan);
+extern void btmarkpos(IndexScanDesc scan);
+extern void btrestrpos(IndexScanDesc scan);
+extern IndexBulkDeleteResult *btbulkdelete(IndexVacuumInfo *info,
+ IndexBulkDeleteResult *stats,
+ IndexBulkDeleteCallback callback,
+ void *callback_state);
+extern IndexBulkDeleteResult *btvacuumcleanup(IndexVacuumInfo *info,
+ IndexBulkDeleteResult *stats);
+extern bool btcanreturn(Relation index, int attno);
+
+/*
+ * prototypes for internal functions in nbtree.c
+ */
+extern bool _bt_parallel_seize(IndexScanDesc scan, BlockNumber *pageno);
+extern void _bt_parallel_release(IndexScanDesc scan, BlockNumber scan_page);
+extern void _bt_parallel_done(IndexScanDesc scan);
+extern void _bt_parallel_advance_array_keys(IndexScanDesc scan);
+
+/*
+ * prototypes for functions in nbtdedup.c
+ */
+extern void _bt_dedup_one_page(Relation rel, Buffer buf, Relation heapRel,
+ IndexTuple newitem, Size newitemsz,
+ bool checkingunique);
+extern void _bt_dedup_start_pending(BTDedupState state, IndexTuple base,
+ OffsetNumber baseoff);
+extern bool _bt_dedup_save_htid(BTDedupState state, IndexTuple itup);
+extern Size _bt_dedup_finish_pending(Page newpage, BTDedupState state);
+extern IndexTuple _bt_form_posting(IndexTuple base, ItemPointer htids,
+ int nhtids);
+extern void _bt_update_posting(BTVacuumPosting vacposting);
+extern IndexTuple _bt_swap_posting(IndexTuple newitem, IndexTuple oposting,
+ int postingoff);
+
+/*
+ * prototypes for functions in nbtinsert.c
+ */
+extern bool _bt_doinsert(Relation rel, IndexTuple itup,
+ IndexUniqueCheck checkUnique, Relation heapRel);
+extern void _bt_finish_split(Relation rel, Buffer lbuf, BTStack stack);
+extern Buffer _bt_getstackbuf(Relation rel, BTStack stack, BlockNumber child);
+
+/*
+ * prototypes for functions in nbtsplitloc.c
+ */
+extern OffsetNumber _bt_findsplitloc(Relation rel, Page origpage,
+ OffsetNumber newitemoff, Size newitemsz, IndexTuple newitem,
+ bool *newitemonleft);
+
+/*
+ * prototypes for functions in nbtpage.c
+ */
+extern void _bt_initmetapage(Page page, BlockNumber rootbknum, uint32 level,
+ bool allequalimage);
+extern void _bt_update_meta_cleanup_info(Relation rel,
+ TransactionId oldestBtpoXact, float8 numHeapTuples);
+extern void _bt_upgrademetapage(Page page);
+extern Buffer _bt_getroot(Relation rel, int access);
+extern Buffer _bt_gettrueroot(Relation rel);
+extern int _bt_getrootheight(Relation rel);
+extern void _bt_metaversion(Relation rel, bool *heapkeyspace,
+ bool *allequalimage);
+extern void _bt_checkpage(Relation rel, Buffer buf);
+extern Buffer _bt_getbuf(Relation rel, BlockNumber blkno, int access);
+extern Buffer _bt_relandgetbuf(Relation rel, Buffer obuf,
+ BlockNumber blkno, int access);
+extern void _bt_relbuf(Relation rel, Buffer buf);
+extern void _bt_pageinit(Page page, Size size);
+extern bool _bt_page_recyclable(Page page);
+extern void _bt_delitems_vacuum(Relation rel, Buffer buf,
+ OffsetNumber *deletable, int ndeletable,
+ BTVacuumPosting *updatable, int nupdatable);
+extern void _bt_delitems_delete(Relation rel, Buffer buf,
+ OffsetNumber *deletable, int ndeletable,
+ Relation heapRel);
+extern uint32 _bt_pagedel(Relation rel, Buffer leafbuf,
+ TransactionId *oldestBtpoXact);
+
+/*
+ * prototypes for functions in nbtsearch.c
+ */
+extern BTStack _bt_search(Relation rel, BTScanInsert key, Buffer *bufP,
+ int access, Snapshot snapshot);
+extern Buffer _bt_moveright(Relation rel, BTScanInsert key, Buffer buf,
+ bool forupdate, BTStack stack, int access, Snapshot snapshot);
+extern OffsetNumber _bt_binsrch_insert(Relation rel, BTInsertState insertstate);
+extern int32 _bt_compare(Relation rel, BTScanInsert key, Page page, OffsetNumber offnum);
+extern bool _bt_first(IndexScanDesc scan, ScanDirection dir);
+extern bool _bt_next(IndexScanDesc scan, ScanDirection dir);
+extern Buffer _bt_get_endpoint(Relation rel, uint32 level, bool rightmost,
+ Snapshot snapshot);
+
+/*
+ * prototypes for functions in nbtutils.c
+ */
+extern BTScanInsert _bt_mkscankey(Relation rel, IndexTuple itup);
+extern void _bt_freestack(BTStack stack);
+extern void _bt_preprocess_array_keys(IndexScanDesc scan);
+extern void _bt_start_array_keys(IndexScanDesc scan, ScanDirection dir);
+extern bool _bt_advance_array_keys(IndexScanDesc scan, ScanDirection dir);
+extern void _bt_mark_array_keys(IndexScanDesc scan);
+extern void _bt_restore_array_keys(IndexScanDesc scan);
+extern void _bt_preprocess_keys(IndexScanDesc scan);
+extern bool _bt_checkkeys(IndexScanDesc scan, IndexTuple tuple,
+ int tupnatts, ScanDirection dir, bool *continuescan);
+extern void _bt_killitems(IndexScanDesc scan);
+extern BTCycleId _bt_vacuum_cycleid(Relation rel);
+extern BTCycleId _bt_start_vacuum(Relation rel);
+extern void _bt_end_vacuum(Relation rel);
+extern void _bt_end_vacuum_callback(int code, Datum arg);
+extern Size BTreeShmemSize(void);
+extern void BTreeShmemInit(void);
+extern bytea *btoptions(Datum reloptions, bool validate);
+extern bool btproperty(Oid index_oid, int attno,
+ IndexAMProperty prop, const char *propname,
+ bool *res, bool *isnull);
+extern char *btbuildphasename(int64 phasenum);
+extern IndexTuple _bt_truncate(Relation rel, IndexTuple lastleft,
+ IndexTuple firstright, BTScanInsert itup_key);
+extern int _bt_keep_natts_fast(Relation rel, IndexTuple lastleft,
+ IndexTuple firstright);
+extern bool _bt_check_natts(Relation rel, bool heapkeyspace, Page page,
+ OffsetNumber offnum);
+extern void _bt_check_third_page(Relation rel, Relation heap,
+ bool needheaptidspace, Page page, IndexTuple newtup);
+extern bool _bt_allequalimage(Relation rel, bool debugmessage);
+
+/*
+ * prototypes for functions in nbtvalidate.c
+ */
+extern bool btvalidate(Oid opclassoid);
+
+/*
+ * prototypes for functions in nbtsort.c
+ */
+extern IndexBuildResult *btbuild(Relation heap, Relation index,
+ struct IndexInfo *indexInfo);
+extern void _bt_parallel_build_main(dsm_segment *seg, shm_toc *toc);
+
+#endif /* NBTREE_H */