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/*-------------------------------------------------------------------------
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* header file for postgres btree access method implementation.
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* Portions Copyright (c) 1996-2011, PostgreSQL Global Development Group
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* Portions Copyright (c) 1994, Regents of the University of California
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* src/include/access/nbtree.h
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*-------------------------------------------------------------------------
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#include "access/genam.h"
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#include "access/itup.h"
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#include "access/sdir.h"
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#include "access/xlog.h"
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#include "access/xlogutils.h"
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/* There's room for a 16-bit vacuum cycle ID in BTPageOpaqueData */
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typedef uint16 BTCycleId;
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* BTPageOpaqueData -- At the end of every page, we store a pointer
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* to both siblings in the tree. This is used to do forward/backward
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* index scans. The next-page link is also critical for recovery when
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* a search has navigated to the wrong page due to concurrent page splits
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* or deletions; see src/backend/access/nbtree/README for more info.
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* In addition, we store the page's btree level (counting upwards from
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* zero at a leaf page) as well as some flag bits indicating the page type
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* and status. If the page is deleted, we replace the level with the
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* next-transaction-ID value indicating when it is safe to reclaim the page.
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* We also store a "vacuum cycle ID". When a page is split while VACUUM is
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* processing the index, a nonzero value associated with the VACUUM run is
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* stored into both halves of the split page. (If VACUUM is not running,
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* both pages receive zero cycleids.) This allows VACUUM to detect whether
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* a page was split since it started, with a small probability of false match
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* if the page was last split some exact multiple of MAX_BT_CYCLE_ID VACUUMs
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* ago. Also, during a split, the BTP_SPLIT_END flag is cleared in the left
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* (original) page, and set in the right page, but only if the next page
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* to its right has a different cycleid.
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* NOTE: the BTP_LEAF flag bit is redundant since level==0 could be tested
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typedef struct BTPageOpaqueData
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BlockNumber btpo_prev; /* left sibling, or P_NONE if leftmost */
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BlockNumber btpo_next; /* right sibling, or P_NONE if rightmost */
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uint32 level; /* tree level --- zero for leaf pages */
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TransactionId xact; /* next transaction ID, if deleted */
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uint16 btpo_flags; /* flag bits, see below */
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BTCycleId btpo_cycleid; /* vacuum cycle ID of latest split */
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typedef BTPageOpaqueData *BTPageOpaque;
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/* Bits defined in btpo_flags */
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#define BTP_LEAF (1 << 0) /* leaf page, i.e. not internal page */
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#define BTP_ROOT (1 << 1) /* root page (has no parent) */
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#define BTP_DELETED (1 << 2) /* page has been deleted from tree */
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#define BTP_META (1 << 3) /* meta-page */
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#define BTP_HALF_DEAD (1 << 4) /* empty, but still in tree */
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#define BTP_SPLIT_END (1 << 5) /* rightmost page of split group */
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#define BTP_HAS_GARBAGE (1 << 6) /* page has LP_DEAD tuples */
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* The max allowed value of a cycle ID is a bit less than 64K. This is
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* for convenience of pg_filedump and similar utilities: we want to use
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* the last 2 bytes of special space as an index type indicator, and
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* restricting cycle ID lets btree use that space for vacuum cycle IDs
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* while still allowing index type to be identified.
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#define MAX_BT_CYCLE_ID 0xFF7F
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* The Meta page is always the first page in the btree index.
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* Its primary purpose is to point to the location of the btree root page.
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* We also point to the "fast" root, which is the current effective root;
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* see README for discussion.
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typedef struct BTMetaPageData
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uint32 btm_magic; /* should contain BTREE_MAGIC */
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uint32 btm_version; /* should contain BTREE_VERSION */
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BlockNumber btm_root; /* current root location */
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uint32 btm_level; /* tree level of the root page */
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BlockNumber btm_fastroot; /* current "fast" root location */
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uint32 btm_fastlevel; /* tree level of the "fast" root page */
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#define BTPageGetMeta(p) \
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((BTMetaPageData *) PageGetContents(p))
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#define BTREE_METAPAGE 0 /* first page is meta */
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#define BTREE_MAGIC 0x053162 /* magic number of btree pages */
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#define BTREE_VERSION 2 /* current version number */
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* Maximum size of a btree index entry, including its tuple header.
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* We actually need to be able to fit three items on every page,
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* so restrict any one item to 1/3 the per-page available space.
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#define BTMaxItemSize(page) \
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MAXALIGN_DOWN((PageGetPageSize(page) - \
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MAXALIGN(SizeOfPageHeaderData + 3*sizeof(ItemIdData)) - \
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MAXALIGN(sizeof(BTPageOpaqueData))) / 3)
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* The leaf-page fillfactor defaults to 90% but is user-adjustable.
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* For pages above the leaf level, we use a fixed 70% fillfactor.
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* The fillfactor is applied during index build and when splitting
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* a rightmost page; when splitting non-rightmost pages we try to
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* divide the data equally.
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#define BTREE_MIN_FILLFACTOR 10
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#define BTREE_DEFAULT_FILLFACTOR 90
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#define BTREE_NONLEAF_FILLFACTOR 70
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* Test whether two btree entries are "the same".
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* In addition, we must guarantee that all tuples in the index are unique,
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* in order to satisfy some assumptions in Lehman and Yao. The way that we
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* do this is by generating a new OID for every insertion that we do in the
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* tree. This adds eight bytes to the size of btree index tuples. Note
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* that we do not use the OID as part of a composite key; the OID only
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* serves as a unique identifier for a given index tuple (logical position
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* actually, we must guarantee that all tuples in A LEVEL
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* are unique, not in ALL INDEX. So, we can use the t_tid
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* as unique identifier for a given index tuple (logical position
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* within a level). - vadim 04/09/97
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#define BTTidSame(i1, i2) \
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( (i1).ip_blkid.bi_hi == (i2).ip_blkid.bi_hi && \
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(i1).ip_blkid.bi_lo == (i2).ip_blkid.bi_lo && \
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(i1).ip_posid == (i2).ip_posid )
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#define BTEntrySame(i1, i2) \
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BTTidSame((i1)->t_tid, (i2)->t_tid)
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* In general, the btree code tries to localize its knowledge about
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* page layout to a couple of routines. However, we need a special
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* value to indicate "no page number" in those places where we expect
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* page numbers. We can use zero for this because we never need to
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* make a pointer to the metadata page.
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* Macros to test whether a page is leftmost or rightmost on its tree level,
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* as well as other state info kept in the opaque data.
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#define P_LEFTMOST(opaque) ((opaque)->btpo_prev == P_NONE)
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#define P_RIGHTMOST(opaque) ((opaque)->btpo_next == P_NONE)
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#define P_ISLEAF(opaque) ((opaque)->btpo_flags & BTP_LEAF)
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#define P_ISROOT(opaque) ((opaque)->btpo_flags & BTP_ROOT)
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#define P_ISDELETED(opaque) ((opaque)->btpo_flags & BTP_DELETED)
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#define P_ISHALFDEAD(opaque) ((opaque)->btpo_flags & BTP_HALF_DEAD)
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#define P_IGNORE(opaque) ((opaque)->btpo_flags & (BTP_DELETED|BTP_HALF_DEAD))
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#define P_HAS_GARBAGE(opaque) ((opaque)->btpo_flags & BTP_HAS_GARBAGE)
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* Lehman and Yao's algorithm requires a ``high key'' on every non-rightmost
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* page. The high key is not a data key, but gives info about what range of
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* keys is supposed to be on this page. The high key on a page is required
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* to be greater than or equal to any data key that appears on the page.
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* If we find ourselves trying to insert a key > high key, we know we need
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* to move right (this should only happen if the page was split since we
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* examined the parent page).
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* Our insertion algorithm guarantees that we can use the initial least key
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* on our right sibling as the high key. Once a page is created, its high
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* key changes only if the page is split.
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* On a non-rightmost page, the high key lives in item 1 and data items
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* start in item 2. Rightmost pages have no high key, so we store data
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* items beginning in item 1.
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#define P_HIKEY ((OffsetNumber) 1)
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#define P_FIRSTKEY ((OffsetNumber) 2)
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#define P_FIRSTDATAKEY(opaque) (P_RIGHTMOST(opaque) ? P_HIKEY : P_FIRSTKEY)
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* XLOG records for btree operations
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* XLOG allows to store some information in high 4 bits of log
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* record xl_info field
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#define XLOG_BTREE_INSERT_LEAF 0x00 /* add index tuple without split */
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#define XLOG_BTREE_INSERT_UPPER 0x10 /* same, on a non-leaf page */
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#define XLOG_BTREE_INSERT_META 0x20 /* same, plus update metapage */
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#define XLOG_BTREE_SPLIT_L 0x30 /* add index tuple with split */
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#define XLOG_BTREE_SPLIT_R 0x40 /* as above, new item on right */
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#define XLOG_BTREE_SPLIT_L_ROOT 0x50 /* add tuple with split of root */
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#define XLOG_BTREE_SPLIT_R_ROOT 0x60 /* as above, new item on right */
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#define XLOG_BTREE_DELETE 0x70 /* delete leaf index tuples for a page */
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#define XLOG_BTREE_DELETE_PAGE 0x80 /* delete an entire page */
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#define XLOG_BTREE_DELETE_PAGE_META 0x90 /* same, and update metapage */
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#define XLOG_BTREE_NEWROOT 0xA0 /* new root page */
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#define XLOG_BTREE_DELETE_PAGE_HALF 0xB0 /* page deletion that makes
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* parent half-dead */
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#define XLOG_BTREE_VACUUM 0xC0 /* delete entries on a page during
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#define XLOG_BTREE_REUSE_PAGE 0xD0 /* old page is about to be reused from
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* All that we need to find changed index tuple
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typedef struct xl_btreetid
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ItemPointerData tid; /* changed tuple id */
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* All that we need to regenerate the meta-data page
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typedef struct xl_btree_metadata
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BlockNumber fastroot;
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* This is what we need to know about simple (without split) insert.
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* This data record is used for INSERT_LEAF, INSERT_UPPER, INSERT_META.
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* Note that INSERT_META implies it's not a leaf page.
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typedef struct xl_btree_insert
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xl_btreetid target; /* inserted tuple id */
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/* BlockNumber downlink field FOLLOWS IF NOT XLOG_BTREE_INSERT_LEAF */
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/* xl_btree_metadata FOLLOWS IF XLOG_BTREE_INSERT_META */
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/* INDEX TUPLE FOLLOWS AT END OF STRUCT */
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#define SizeOfBtreeInsert (offsetof(xl_btreetid, tid) + SizeOfIptrData)
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* On insert with split, we save all the items going into the right sibling
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* so that we can restore it completely from the log record. This way takes
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* less xlog space than the normal approach, because if we did it standardly,
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* XLogInsert would almost always think the right page is new and store its
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* whole page image. The left page, however, is handled in the normal
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* incremental-update fashion.
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* Note: the four XLOG_BTREE_SPLIT xl_info codes all use this data record.
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* The _L and _R variants indicate whether the inserted tuple went into the
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* left or right split page (and thus, whether newitemoff and the new item
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* are stored or not). The _ROOT variants indicate that we are splitting
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* the root page, and thus that a newroot record rather than an insert or
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* split record should follow. Note that a split record never carries a
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* metapage update --- we'll do that in the parent-level update.
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typedef struct xl_btree_split
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BlockNumber leftsib; /* orig page / new left page */
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BlockNumber rightsib; /* new right page */
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BlockNumber rnext; /* next block (orig page's rightlink) */
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uint32 level; /* tree level of page being split */
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OffsetNumber firstright; /* first item moved to right page */
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* If level > 0, BlockIdData downlink follows. (We use BlockIdData rather
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* than BlockNumber for alignment reasons: SizeOfBtreeSplit is only 16-bit
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* If level > 0, an IndexTuple representing the HIKEY of the left page
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* follows. We don't need this on leaf pages, because it's the same as
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* the leftmost key in the new right page. Also, it's suppressed if
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* XLogInsert chooses to store the left page's whole page image.
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* In the _L variants, next are OffsetNumber newitemoff and the new item.
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* (In the _R variants, the new item is one of the right page's tuples.)
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* The new item, but not newitemoff, is suppressed if XLogInsert chooses
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* to store the left page's whole page image.
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* Last are the right page's tuples in the form used by _bt_restore_page.
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#define SizeOfBtreeSplit (offsetof(xl_btree_split, firstright) + sizeof(OffsetNumber))
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* This is what we need to know about delete of individual leaf index tuples.
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* The WAL record can represent deletion of any number of index tuples on a
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* single index page when *not* executed by VACUUM.
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typedef struct xl_btree_delete
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RelFileNode node; /* RelFileNode of the index */
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RelFileNode hnode; /* RelFileNode of the heap the index currently
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/* TARGET OFFSET NUMBERS FOLLOW AT THE END */
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#define SizeOfBtreeDelete (offsetof(xl_btree_delete, nitems) + sizeof(int))
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* This is what we need to know about page reuse within btree.
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typedef struct xl_btree_reuse_page
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TransactionId latestRemovedXid;
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} xl_btree_reuse_page;
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#define SizeOfBtreeReusePage (sizeof(xl_btree_reuse_page))
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* This is what we need to know about vacuum of individual leaf index tuples.
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* The WAL record can represent deletion of any number of index tuples on a
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* single index page when executed by VACUUM.
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* The correctness requirement for applying these changes during recovery is
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* that we must do one of these two things for every block in the index:
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* * lock the block for cleanup and apply any required changes
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* * EnsureBlockUnpinned()
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* The purpose of this is to ensure that no index scans started before we
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* finish scanning the index are still running by the time we begin to remove
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* Any changes to any one block are registered on just one WAL record. All
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* blocks that we need to run EnsureBlockUnpinned() are listed as a block range
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* starting from the last block vacuumed through until this one. Individual
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* block numbers aren't given.
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* Note that the *last* WAL record in any vacuum of an index is allowed to
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* have a zero length array of offsets. Earlier records must have at least one.
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typedef struct xl_btree_vacuum
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BlockNumber lastBlockVacuumed;
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/* TARGET OFFSET NUMBERS FOLLOW */
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#define SizeOfBtreeVacuum (offsetof(xl_btree_vacuum, lastBlockVacuumed) + sizeof(BlockNumber))
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* This is what we need to know about deletion of a btree page. The target
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* identifies the tuple removed from the parent page (note that we remove
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* this tuple's downlink and the *following* tuple's key). Note we do not
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* store any content for the deleted page --- it is just rewritten as empty
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* during recovery, apart from resetting the btpo.xact.
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typedef struct xl_btree_delete_page
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xl_btreetid target; /* deleted tuple id in parent page */
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BlockNumber deadblk; /* child block being deleted */
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BlockNumber leftblk; /* child block's left sibling, if any */
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BlockNumber rightblk; /* child block's right sibling */
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TransactionId btpo_xact; /* value of btpo.xact for use in recovery */
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/* xl_btree_metadata FOLLOWS IF XLOG_BTREE_DELETE_PAGE_META */
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} xl_btree_delete_page;
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#define SizeOfBtreeDeletePage (offsetof(xl_btree_delete_page, btpo_xact) + sizeof(TransactionId))
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* New root log record. There are zero tuples if this is to establish an
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* empty root, or two if it is the result of splitting an old root.
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* Note that although this implies rewriting the metadata page, we don't need
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* an xl_btree_metadata record --- the rootblk and level are sufficient.
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typedef struct xl_btree_newroot
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BlockNumber rootblk; /* location of new root */
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uint32 level; /* its tree level */
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/* 0 or 2 INDEX TUPLES FOLLOW AT END OF STRUCT */
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#define SizeOfBtreeNewroot (offsetof(xl_btree_newroot, level) + sizeof(uint32))
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* Operator strategy numbers for B-tree have been moved to access/skey.h,
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* because many places need to use them in ScanKeyInit() calls.
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* The strategy numbers are chosen so that we can commute them by
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#define BTCommuteStrategyNumber(strat) (BTMaxStrategyNumber + 1 - (strat))
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* When a new operator class is declared, we require that the user
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* supply us with an amproc procedure for determining whether, for
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* two keys a and b, a < b, a = b, or a > b. This routine must
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* return < 0, 0, > 0, respectively, in these three cases. Since we
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* only have one such proc in amproc, it's number 1.
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#define BTORDER_PROC 1
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* We need to be able to tell the difference between read and write
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* requests for pages, in order to do locking correctly.
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#define BT_READ BUFFER_LOCK_SHARE
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#define BT_WRITE BUFFER_LOCK_EXCLUSIVE
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* BTStackData -- As we descend a tree, we push the (location, downlink)
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* pairs from internal pages onto a private stack. If we split a
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* leaf, we use this stack to walk back up the tree and insert data
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* into parent pages (and possibly to split them, too). Lehman and
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* Yao's update algorithm guarantees that under no circumstances can
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* our private stack give us an irredeemably bad picture up the tree.
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* Again, see the paper for details.
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typedef struct BTStackData
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BlockNumber bts_blkno;
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OffsetNumber bts_offset;
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IndexTupleData bts_btentry;
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struct BTStackData *bts_parent;
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typedef BTStackData *BTStack;
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* BTScanOpaqueData is the btree-private state needed for an indexscan.
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* This consists of preprocessed scan keys (see _bt_preprocess_keys() for
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* details of the preprocessing), information about the current location
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* of the scan, and information about the marked location, if any. (We use
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* BTScanPosData to represent the data needed for each of current and marked
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* locations.) In addition we can remember some known-killed index entries
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* that must be marked before we can move off the current page.
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* Index scans work a page at a time: we pin and read-lock the page, identify
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* all the matching items on the page and save them in BTScanPosData, then
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* release the read-lock while returning the items to the caller for
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* processing. This approach minimizes lock/unlock traffic. Note that we
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* keep the pin on the index page until the caller is done with all the items
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* (this is needed for VACUUM synchronization, see nbtree/README). When we
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* are ready to step to the next page, if the caller has told us any of the
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* items were killed, we re-lock the page to mark them killed, then unlock.
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* Finally we drop the pin and step to the next page in the appropriate
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typedef struct BTScanPosItem /* what we remember about each match */
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ItemPointerData heapTid; /* TID of referenced heap item */
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OffsetNumber indexOffset; /* index item's location within page */
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typedef struct BTScanPosData
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Buffer buf; /* if valid, the buffer is pinned */
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BlockNumber nextPage; /* page's right link when we scanned it */
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* moreLeft and moreRight track whether we think there may be matching
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* index entries to the left and right of the current page, respectively.
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* We can clear the appropriate one of these flags when _bt_checkkeys()
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* returns continuescan = false.
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* The items array is always ordered in index order (ie, increasing
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* indexoffset). When scanning backwards it is convenient to fill the
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* array back-to-front, so we start at the last slot and fill downwards.
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* Hence we need both a first-valid-entry and a last-valid-entry counter.
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* itemIndex is a cursor showing which entry was last returned to caller.
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int firstItem; /* first valid index in items[] */
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int lastItem; /* last valid index in items[] */
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int itemIndex; /* current index in items[] */
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BTScanPosItem items[MaxIndexTuplesPerPage]; /* MUST BE LAST */
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typedef BTScanPosData *BTScanPos;
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#define BTScanPosIsValid(scanpos) BufferIsValid((scanpos).buf)
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typedef struct BTScanOpaqueData
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/* these fields are set by _bt_preprocess_keys(): */
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bool qual_ok; /* false if qual can never be satisfied */
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int numberOfKeys; /* number of preprocessed scan keys */
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ScanKey keyData; /* array of preprocessed scan keys */
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/* info about killed items if any (killedItems is NULL if never used) */
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int *killedItems; /* currPos.items indexes of killed items */
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int numKilled; /* number of currently stored items */
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* If the marked position is on the same page as current position, we
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* don't use markPos, but just keep the marked itemIndex in markItemIndex
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* (all the rest of currPos is valid for the mark position). Hence, to
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* determine if there is a mark, first look at markItemIndex, then at
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int markItemIndex; /* itemIndex, or -1 if not valid */
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/* keep these last in struct for efficiency */
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BTScanPosData currPos; /* current position data */
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BTScanPosData markPos; /* marked position, if any */
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typedef BTScanOpaqueData *BTScanOpaque;
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* We use some private sk_flags bits in preprocessed scan keys. We're allowed
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* to use bits 16-31 (see skey.h). The uppermost bits are copied from the
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* index's indoption[] array entry for the index attribute.
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#define SK_BT_REQFWD 0x00010000 /* required to continue forward scan */
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#define SK_BT_REQBKWD 0x00020000 /* required to continue backward scan */
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#define SK_BT_INDOPTION_SHIFT 24 /* must clear the above bits */
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#define SK_BT_DESC (INDOPTION_DESC << SK_BT_INDOPTION_SHIFT)
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#define SK_BT_NULLS_FIRST (INDOPTION_NULLS_FIRST << SK_BT_INDOPTION_SHIFT)
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* prototypes for functions in nbtree.c (external entry points for btree)
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extern Datum btbuild(PG_FUNCTION_ARGS);
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extern Datum btbuildempty(PG_FUNCTION_ARGS);
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extern Datum btinsert(PG_FUNCTION_ARGS);
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extern Datum btbeginscan(PG_FUNCTION_ARGS);
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extern Datum btgettuple(PG_FUNCTION_ARGS);
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extern Datum btgetbitmap(PG_FUNCTION_ARGS);
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extern Datum btrescan(PG_FUNCTION_ARGS);
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extern Datum btendscan(PG_FUNCTION_ARGS);
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extern Datum btmarkpos(PG_FUNCTION_ARGS);
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extern Datum btrestrpos(PG_FUNCTION_ARGS);
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extern Datum btbulkdelete(PG_FUNCTION_ARGS);
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extern Datum btvacuumcleanup(PG_FUNCTION_ARGS);
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extern Datum btoptions(PG_FUNCTION_ARGS);
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* prototypes for functions in nbtinsert.c
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extern bool _bt_doinsert(Relation rel, IndexTuple itup,
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IndexUniqueCheck checkUnique, Relation heapRel);
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extern Buffer _bt_getstackbuf(Relation rel, BTStack stack, int access);
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extern void _bt_insert_parent(Relation rel, Buffer buf, Buffer rbuf,
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BTStack stack, bool is_root, bool is_only);
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* prototypes for functions in nbtpage.c
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extern void _bt_initmetapage(Page page, BlockNumber rootbknum, uint32 level);
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extern Buffer _bt_getroot(Relation rel, int access);
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extern Buffer _bt_gettrueroot(Relation rel);
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extern void _bt_checkpage(Relation rel, Buffer buf);
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extern Buffer _bt_getbuf(Relation rel, BlockNumber blkno, int access);
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extern Buffer _bt_relandgetbuf(Relation rel, Buffer obuf,
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BlockNumber blkno, int access);
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extern void _bt_relbuf(Relation rel, Buffer buf);
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extern void _bt_pageinit(Page page, Size size);
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extern bool _bt_page_recyclable(Page page);
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extern void _bt_delitems_delete(Relation rel, Buffer buf,
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OffsetNumber *itemnos, int nitems, Relation heapRel);
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extern void _bt_delitems_vacuum(Relation rel, Buffer buf,
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OffsetNumber *itemnos, int nitems, BlockNumber lastBlockVacuumed);
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extern int _bt_pagedel(Relation rel, Buffer buf, BTStack stack);
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* prototypes for functions in nbtsearch.c
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extern BTStack _bt_search(Relation rel,
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int keysz, ScanKey scankey, bool nextkey,
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Buffer *bufP, int access);
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extern Buffer _bt_moveright(Relation rel, Buffer buf, int keysz,
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ScanKey scankey, bool nextkey, int access);
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extern OffsetNumber _bt_binsrch(Relation rel, Buffer buf, int keysz,
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ScanKey scankey, bool nextkey);
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extern int32 _bt_compare(Relation rel, int keysz, ScanKey scankey,
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Page page, OffsetNumber offnum);
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extern bool _bt_first(IndexScanDesc scan, ScanDirection dir);
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extern bool _bt_next(IndexScanDesc scan, ScanDirection dir);
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extern Buffer _bt_get_endpoint(Relation rel, uint32 level, bool rightmost);
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* prototypes for functions in nbtutils.c
618
extern ScanKey _bt_mkscankey(Relation rel, IndexTuple itup);
619
extern ScanKey _bt_mkscankey_nodata(Relation rel);
620
extern void _bt_freeskey(ScanKey skey);
621
extern void _bt_freestack(BTStack stack);
622
extern void _bt_preprocess_keys(IndexScanDesc scan);
623
extern bool _bt_checkkeys(IndexScanDesc scan,
624
Page page, OffsetNumber offnum,
625
ScanDirection dir, bool *continuescan);
626
extern void _bt_killitems(IndexScanDesc scan, bool haveLock);
627
extern BTCycleId _bt_vacuum_cycleid(Relation rel);
628
extern BTCycleId _bt_start_vacuum(Relation rel);
629
extern void _bt_end_vacuum(Relation rel);
630
extern void _bt_end_vacuum_callback(int code, Datum arg);
631
extern Size BTreeShmemSize(void);
632
extern void BTreeShmemInit(void);
635
* prototypes for functions in nbtsort.c
637
typedef struct BTSpool BTSpool; /* opaque type known only within nbtsort.c */
639
extern BTSpool *_bt_spoolinit(Relation index, bool isunique, bool isdead);
640
extern void _bt_spooldestroy(BTSpool *btspool);
641
extern void _bt_spool(IndexTuple itup, BTSpool *btspool);
642
extern void _bt_leafbuild(BTSpool *btspool, BTSpool *spool2);
645
* prototypes for functions in nbtxlog.c
647
extern void btree_redo(XLogRecPtr lsn, XLogRecord *record);
648
extern void btree_desc(StringInfo buf, uint8 xl_info, char *rec);
649
extern void btree_xlog_startup(void);
650
extern void btree_xlog_cleanup(void);
651
extern bool btree_safe_restartpoint(void);
653
#endif /* NBTREE_H */