LCOV - code coverage report
Current view: top level - src/backend/access/nbtree - nbtreadpage.c (source / functions) Coverage Total Hit
Test: PostgreSQL 19devel Lines: 90.6 % 851 771
Test Date: 2026-03-04 00:14:49 Functions: 100.0 % 24 24
Legend: Lines:     hit not hit

            Line data    Source code
       1              : /*-------------------------------------------------------------------------
       2              :  *
       3              :  * nbtreadpage.c
       4              :  *    Leaf page reading for btree index scans.
       5              :  *
       6              :  * NOTES
       7              :  *    This file contains code to return items that satisfy the scan's
       8              :  *    search-type scan keys within caller-supplied btree leaf page.
       9              :  *
      10              :  * Portions Copyright (c) 1996-2026, PostgreSQL Global Development Group
      11              :  * Portions Copyright (c) 1994, Regents of the University of California
      12              :  *
      13              :  * IDENTIFICATION
      14              :  *    src/backend/access/nbtree/nbtreadpage.c
      15              :  *
      16              :  *-------------------------------------------------------------------------
      17              :  */
      18              : 
      19              : #include "postgres.h"
      20              : 
      21              : #include "access/nbtree.h"
      22              : #include "access/relscan.h"
      23              : #include "storage/predicate.h"
      24              : #include "utils/datum.h"
      25              : #include "utils/rel.h"
      26              : 
      27              : 
      28              : /*
      29              :  * _bt_readpage state used across _bt_checkkeys calls for a page
      30              :  */
      31              : typedef struct BTReadPageState
      32              : {
      33              :     /* Input parameters, set by _bt_readpage for _bt_checkkeys */
      34              :     ScanDirection dir;          /* current scan direction */
      35              :     OffsetNumber minoff;        /* Lowest non-pivot tuple's offset */
      36              :     OffsetNumber maxoff;        /* Highest non-pivot tuple's offset */
      37              :     IndexTuple  finaltup;       /* Needed by scans with array keys */
      38              :     Page        page;           /* Page being read */
      39              :     bool        firstpage;      /* page is first for primitive scan? */
      40              :     bool        forcenonrequired;   /* treat all keys as nonrequired? */
      41              :     int         startikey;      /* start comparisons from this scan key */
      42              : 
      43              :     /* Per-tuple input parameters, set by _bt_readpage for _bt_checkkeys */
      44              :     OffsetNumber offnum;        /* current tuple's page offset number */
      45              : 
      46              :     /* Output parameters, set by _bt_checkkeys for _bt_readpage */
      47              :     OffsetNumber skip;          /* Array keys "look ahead" skip offnum */
      48              :     bool        continuescan;   /* Terminate ongoing (primitive) index scan? */
      49              : 
      50              :     /*
      51              :      * Private _bt_checkkeys state used to manage "look ahead" optimization
      52              :      * and primscan scheduling (only used during scans with array keys)
      53              :      */
      54              :     int16       rechecks;
      55              :     int16       targetdistance;
      56              :     int16       nskipadvances;
      57              : 
      58              : } BTReadPageState;
      59              : 
      60              : 
      61              : static void _bt_set_startikey(IndexScanDesc scan, BTReadPageState *pstate);
      62              : static bool _bt_scanbehind_checkkeys(IndexScanDesc scan, ScanDirection dir,
      63              :                                      IndexTuple finaltup);
      64              : static bool _bt_oppodir_checkkeys(IndexScanDesc scan, ScanDirection dir,
      65              :                                   IndexTuple finaltup);
      66              : static void _bt_saveitem(BTScanOpaque so, int itemIndex,
      67              :                          OffsetNumber offnum, IndexTuple itup);
      68              : static int  _bt_setuppostingitems(BTScanOpaque so, int itemIndex,
      69              :                                   OffsetNumber offnum, const ItemPointerData *heapTid,
      70              :                                   IndexTuple itup);
      71              : static inline void _bt_savepostingitem(BTScanOpaque so, int itemIndex,
      72              :                                        OffsetNumber offnum,
      73              :                                        ItemPointer heapTid, int tupleOffset);
      74              : static bool _bt_checkkeys(IndexScanDesc scan, BTReadPageState *pstate, bool arrayKeys,
      75              :                           IndexTuple tuple, int tupnatts);
      76              : static bool _bt_check_compare(IndexScanDesc scan, ScanDirection dir,
      77              :                               IndexTuple tuple, int tupnatts, TupleDesc tupdesc,
      78              :                               bool advancenonrequired, bool forcenonrequired,
      79              :                               bool *continuescan, int *ikey);
      80              : static bool _bt_check_rowcompare(ScanKey header,
      81              :                                  IndexTuple tuple, int tupnatts, TupleDesc tupdesc,
      82              :                                  ScanDirection dir, bool forcenonrequired, bool *continuescan);
      83              : static bool _bt_rowcompare_cmpresult(ScanKey subkey, int cmpresult);
      84              : static bool _bt_tuple_before_array_skeys(IndexScanDesc scan, ScanDirection dir,
      85              :                                          IndexTuple tuple, TupleDesc tupdesc, int tupnatts,
      86              :                                          bool readpagetup, int sktrig, bool *scanBehind);
      87              : static void _bt_checkkeys_look_ahead(IndexScanDesc scan, BTReadPageState *pstate,
      88              :                                      int tupnatts, TupleDesc tupdesc);
      89              : static bool _bt_advance_array_keys(IndexScanDesc scan, BTReadPageState *pstate,
      90              :                                    IndexTuple tuple, int tupnatts, TupleDesc tupdesc,
      91              :                                    int sktrig, bool sktrig_required);
      92              : static bool _bt_advance_array_keys_increment(IndexScanDesc scan, ScanDirection dir,
      93              :                                              bool *skip_array_set);
      94              : static bool _bt_array_increment(Relation rel, ScanKey skey, BTArrayKeyInfo *array);
      95              : static bool _bt_array_decrement(Relation rel, ScanKey skey, BTArrayKeyInfo *array);
      96              : static void _bt_array_set_low_or_high(Relation rel, ScanKey skey,
      97              :                                       BTArrayKeyInfo *array, bool low_not_high);
      98              : static void _bt_skiparray_set_element(Relation rel, ScanKey skey, BTArrayKeyInfo *array,
      99              :                                       int32 set_elem_result, Datum tupdatum, bool tupnull);
     100              : static void _bt_skiparray_set_isnull(Relation rel, ScanKey skey, BTArrayKeyInfo *array);
     101              : static inline int32 _bt_compare_array_skey(FmgrInfo *orderproc,
     102              :                                            Datum tupdatum, bool tupnull,
     103              :                                            Datum arrdatum, ScanKey cur);
     104              : static void _bt_binsrch_skiparray_skey(bool cur_elem_trig, ScanDirection dir,
     105              :                                        Datum tupdatum, bool tupnull,
     106              :                                        BTArrayKeyInfo *array, ScanKey cur,
     107              :                                        int32 *set_elem_result);
     108              : #ifdef USE_ASSERT_CHECKING
     109              : static bool _bt_verify_keys_with_arraykeys(IndexScanDesc scan);
     110              : #endif
     111              : 
     112              : 
     113              : /*
     114              :  *  _bt_readpage() -- Load data from current index page into so->currPos
     115              :  *
     116              :  * Caller must have pinned and read-locked so->currPos.buf; the buffer's state
     117              :  * is not changed here.  Also, currPos.moreLeft and moreRight must be valid;
     118              :  * they are updated as appropriate.  All other fields of so->currPos are
     119              :  * initialized from scratch here.
     120              :  *
     121              :  * We scan the current page starting at offnum and moving in the indicated
     122              :  * direction.  All items matching the scan keys are loaded into currPos.items.
     123              :  * moreLeft or moreRight (as appropriate) is cleared if _bt_checkkeys reports
     124              :  * that there can be no more matching tuples in the current scan direction
     125              :  * (could just be for the current primitive index scan when scan has arrays).
     126              :  *
     127              :  * In the case of a parallel scan, caller must have called _bt_parallel_seize
     128              :  * prior to calling this function; this function will invoke
     129              :  * _bt_parallel_release before returning.
     130              :  *
     131              :  * Returns true if any matching items found on the page, false if none.
     132              :  */
     133              : bool
     134      8408494 : _bt_readpage(IndexScanDesc scan, ScanDirection dir, OffsetNumber offnum,
     135              :              bool firstpage)
     136              : {
     137      8408494 :     Relation    rel = scan->indexRelation;
     138      8408494 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
     139              :     Page        page;
     140              :     BTPageOpaque opaque;
     141              :     OffsetNumber minoff;
     142              :     OffsetNumber maxoff;
     143              :     BTReadPageState pstate;
     144              :     bool        arrayKeys,
     145      8408494 :                 ignore_killed_tuples = scan->ignore_killed_tuples;
     146              :     int         itemIndex,
     147              :                 indnatts;
     148              : 
     149              :     /* save the page/buffer block number, along with its sibling links */
     150      8408494 :     page = BufferGetPage(so->currPos.buf);
     151      8408494 :     opaque = BTPageGetOpaque(page);
     152      8408494 :     so->currPos.currPage = BufferGetBlockNumber(so->currPos.buf);
     153      8408494 :     so->currPos.prevPage = opaque->btpo_prev;
     154      8408494 :     so->currPos.nextPage = opaque->btpo_next;
     155              :     /* delay setting so->currPos.lsn until _bt_drop_lock_and_maybe_pin */
     156      8408494 :     pstate.dir = so->currPos.dir = dir;
     157      8408494 :     so->currPos.nextTupleOffset = 0;
     158              : 
     159              :     /* either moreRight or moreLeft should be set now (may be unset later) */
     160              :     Assert(ScanDirectionIsForward(dir) ? so->currPos.moreRight :
     161              :            so->currPos.moreLeft);
     162              :     Assert(!P_IGNORE(opaque));
     163              :     Assert(BTScanPosIsPinned(so->currPos));
     164              :     Assert(!so->needPrimScan);
     165              : 
     166              :     /* initialize local variables */
     167      8408494 :     indnatts = IndexRelationGetNumberOfAttributes(rel);
     168      8408494 :     arrayKeys = so->numArrayKeys != 0;
     169      8408494 :     minoff = P_FIRSTDATAKEY(opaque);
     170      8408494 :     maxoff = PageGetMaxOffsetNumber(page);
     171              : 
     172              :     /* initialize page-level state that we'll pass to _bt_checkkeys */
     173      8408494 :     pstate.minoff = minoff;
     174      8408494 :     pstate.maxoff = maxoff;
     175      8408494 :     pstate.finaltup = NULL;
     176      8408494 :     pstate.page = page;
     177      8408494 :     pstate.firstpage = firstpage;
     178      8408494 :     pstate.forcenonrequired = false;
     179      8408494 :     pstate.startikey = 0;
     180      8408494 :     pstate.offnum = InvalidOffsetNumber;
     181      8408494 :     pstate.skip = InvalidOffsetNumber;
     182      8408494 :     pstate.continuescan = true; /* default assumption */
     183      8408494 :     pstate.rechecks = 0;
     184      8408494 :     pstate.targetdistance = 0;
     185      8408494 :     pstate.nskipadvances = 0;
     186              : 
     187      8408494 :     if (scan->parallel_scan)
     188              :     {
     189              :         /* allow next/prev page to be read by other worker without delay */
     190          668 :         if (ScanDirectionIsForward(dir))
     191          668 :             _bt_parallel_release(scan, so->currPos.nextPage,
     192              :                                  so->currPos.currPage);
     193              :         else
     194            0 :             _bt_parallel_release(scan, so->currPos.prevPage,
     195              :                                  so->currPos.currPage);
     196              :     }
     197              : 
     198      8408494 :     PredicateLockPage(rel, so->currPos.currPage, scan->xs_snapshot);
     199              : 
     200      8408494 :     if (ScanDirectionIsForward(dir))
     201              :     {
     202              :         /* SK_SEARCHARRAY forward scans must provide high key up front */
     203      8378347 :         if (arrayKeys)
     204              :         {
     205        45965 :             if (!P_RIGHTMOST(opaque))
     206              :             {
     207        14658 :                 ItemId      iid = PageGetItemId(page, P_HIKEY);
     208              : 
     209        14658 :                 pstate.finaltup = (IndexTuple) PageGetItem(page, iid);
     210              : 
     211        14658 :                 if (unlikely(so->scanBehind) &&
     212         1316 :                     !_bt_scanbehind_checkkeys(scan, dir, pstate.finaltup))
     213              :                 {
     214              :                     /* Schedule another primitive index scan after all */
     215          206 :                     so->currPos.moreRight = false;
     216          206 :                     so->needPrimScan = true;
     217          206 :                     if (scan->parallel_scan)
     218            0 :                         _bt_parallel_primscan_schedule(scan,
     219              :                                                        so->currPos.currPage);
     220          206 :                     return false;
     221              :                 }
     222              :             }
     223              : 
     224        45759 :             so->scanBehind = so->oppositeDirCheck = false;    /* reset */
     225              :         }
     226              : 
     227              :         /*
     228              :          * Consider pstate.startikey optimization once the ongoing primitive
     229              :          * index scan has already read at least one page
     230              :          */
     231      8378141 :         if (!pstate.firstpage && minoff < maxoff)
     232        14235 :             _bt_set_startikey(scan, &pstate);
     233              : 
     234              :         /* load items[] in ascending order */
     235      8378141 :         itemIndex = 0;
     236              : 
     237      8378141 :         offnum = Max(offnum, minoff);
     238              : 
     239     31734776 :         while (offnum <= maxoff)
     240              :         {
     241     29997167 :             ItemId      iid = PageGetItemId(page, offnum);
     242              :             IndexTuple  itup;
     243              :             bool        passes_quals;
     244              : 
     245              :             /*
     246              :              * If the scan specifies not to return killed tuples, then we
     247              :              * treat a killed tuple as not passing the qual
     248              :              */
     249     29997167 :             if (ignore_killed_tuples && ItemIdIsDead(iid))
     250              :             {
     251      2061145 :                 offnum = OffsetNumberNext(offnum);
     252      2061145 :                 continue;
     253              :             }
     254              : 
     255     27936022 :             itup = (IndexTuple) PageGetItem(page, iid);
     256              :             Assert(!BTreeTupleIsPivot(itup));
     257              : 
     258     27936022 :             pstate.offnum = offnum;
     259     27936022 :             passes_quals = _bt_checkkeys(scan, &pstate, arrayKeys,
     260              :                                          itup, indnatts);
     261              : 
     262              :             /*
     263              :              * Check if we need to skip ahead to a later tuple (only possible
     264              :              * when the scan uses array keys)
     265              :              */
     266     27936022 :             if (arrayKeys && OffsetNumberIsValid(pstate.skip))
     267              :             {
     268              :                 Assert(!passes_quals && pstate.continuescan);
     269              :                 Assert(offnum < pstate.skip);
     270              :                 Assert(!pstate.forcenonrequired);
     271              : 
     272         2266 :                 offnum = pstate.skip;
     273         2266 :                 pstate.skip = InvalidOffsetNumber;
     274         2266 :                 continue;
     275              :             }
     276              : 
     277     27933756 :             if (passes_quals)
     278              :             {
     279              :                 /* tuple passes all scan key conditions */
     280     21017389 :                 if (!BTreeTupleIsPosting(itup))
     281              :                 {
     282              :                     /* Remember it */
     283     20724625 :                     _bt_saveitem(so, itemIndex, offnum, itup);
     284     20724625 :                     itemIndex++;
     285              :                 }
     286              :                 else
     287              :                 {
     288              :                     int         tupleOffset;
     289              : 
     290              :                     /* Set up posting list state (and remember first TID) */
     291              :                     tupleOffset =
     292       292764 :                         _bt_setuppostingitems(so, itemIndex, offnum,
     293       292764 :                                               BTreeTupleGetPostingN(itup, 0),
     294              :                                               itup);
     295       292764 :                     itemIndex++;
     296              : 
     297              :                     /* Remember all later TIDs (must be at least one) */
     298      1585465 :                     for (int i = 1; i < BTreeTupleGetNPosting(itup); i++)
     299              :                     {
     300      1292701 :                         _bt_savepostingitem(so, itemIndex, offnum,
     301              :                                             BTreeTupleGetPostingN(itup, i),
     302              :                                             tupleOffset);
     303      1292701 :                         itemIndex++;
     304              :                     }
     305              :                 }
     306              :             }
     307              :             /* When !continuescan, there can't be any more matches, so stop */
     308     27933756 :             if (!pstate.continuescan)
     309      6640532 :                 break;
     310              : 
     311     21293224 :             offnum = OffsetNumberNext(offnum);
     312              :         }
     313              : 
     314              :         /*
     315              :          * We don't need to visit page to the right when the high key
     316              :          * indicates that no more matches will be found there.
     317              :          *
     318              :          * Checking the high key like this works out more often than you might
     319              :          * think.  Leaf page splits pick a split point between the two most
     320              :          * dissimilar tuples (this is weighed against the need to evenly share
     321              :          * free space).  Leaf pages with high key attribute values that can
     322              :          * only appear on non-pivot tuples on the right sibling page are
     323              :          * common.
     324              :          */
     325      8378141 :         if (pstate.continuescan && !so->scanBehind && !P_RIGHTMOST(opaque))
     326              :         {
     327        72020 :             ItemId      iid = PageGetItemId(page, P_HIKEY);
     328        72020 :             IndexTuple  itup = (IndexTuple) PageGetItem(page, iid);
     329              :             int         truncatt;
     330              : 
     331              :             /* Reset arrays, per _bt_set_startikey contract */
     332        72020 :             if (pstate.forcenonrequired)
     333         1099 :                 _bt_start_array_keys(scan, dir);
     334        72020 :             pstate.forcenonrequired = false;
     335        72020 :             pstate.startikey = 0;   /* _bt_set_startikey ignores P_HIKEY */
     336              : 
     337        72020 :             truncatt = BTreeTupleGetNAtts(itup, rel);
     338        72020 :             _bt_checkkeys(scan, &pstate, arrayKeys, itup, truncatt);
     339              :         }
     340              : 
     341      8378141 :         if (!pstate.continuescan)
     342      6687309 :             so->currPos.moreRight = false;
     343              : 
     344              :         Assert(itemIndex <= MaxTIDsPerBTreePage);
     345      8378141 :         so->currPos.firstItem = 0;
     346      8378141 :         so->currPos.lastItem = itemIndex - 1;
     347      8378141 :         so->currPos.itemIndex = 0;
     348              :     }
     349              :     else
     350              :     {
     351              :         /* SK_SEARCHARRAY backward scans must provide final tuple up front */
     352        30147 :         if (arrayKeys)
     353              :         {
     354           39 :             if (minoff <= maxoff && !P_LEFTMOST(opaque))
     355              :             {
     356           30 :                 ItemId      iid = PageGetItemId(page, minoff);
     357              : 
     358           30 :                 pstate.finaltup = (IndexTuple) PageGetItem(page, iid);
     359              : 
     360           30 :                 if (unlikely(so->scanBehind) &&
     361            6 :                     !_bt_scanbehind_checkkeys(scan, dir, pstate.finaltup))
     362              :                 {
     363              :                     /* Schedule another primitive index scan after all */
     364            3 :                     so->currPos.moreLeft = false;
     365            3 :                     so->needPrimScan = true;
     366            3 :                     if (scan->parallel_scan)
     367            0 :                         _bt_parallel_primscan_schedule(scan,
     368              :                                                        so->currPos.currPage);
     369            3 :                     return false;
     370              :                 }
     371              :             }
     372              : 
     373           36 :             so->scanBehind = so->oppositeDirCheck = false;    /* reset */
     374              :         }
     375              : 
     376              :         /*
     377              :          * Consider pstate.startikey optimization once the ongoing primitive
     378              :          * index scan has already read at least one page
     379              :          */
     380        30144 :         if (!pstate.firstpage && minoff < maxoff)
     381           80 :             _bt_set_startikey(scan, &pstate);
     382              : 
     383              :         /* load items[] in descending order */
     384        30144 :         itemIndex = MaxTIDsPerBTreePage;
     385              : 
     386        30144 :         offnum = Min(offnum, maxoff);
     387              : 
     388      4939863 :         while (offnum >= minoff)
     389              :         {
     390      4909796 :             ItemId      iid = PageGetItemId(page, offnum);
     391              :             IndexTuple  itup;
     392              :             bool        tuple_alive;
     393              :             bool        passes_quals;
     394              : 
     395              :             /*
     396              :              * If the scan specifies not to return killed tuples, then we
     397              :              * treat a killed tuple as not passing the qual.  Most of the
     398              :              * time, it's a win to not bother examining the tuple's index
     399              :              * keys, but just skip to the next tuple (previous, actually,
     400              :              * since we're scanning backwards).  However, if this is the first
     401              :              * tuple on the page, we do check the index keys, to prevent
     402              :              * uselessly advancing to the page to the left.  This is similar
     403              :              * to the high key optimization used by forward scans.
     404              :              */
     405      4909796 :             if (ignore_killed_tuples && ItemIdIsDead(iid))
     406              :             {
     407       187827 :                 if (offnum > minoff)
     408              :                 {
     409       187430 :                     offnum = OffsetNumberPrev(offnum);
     410       187430 :                     continue;
     411              :                 }
     412              : 
     413          397 :                 tuple_alive = false;
     414              :             }
     415              :             else
     416      4721969 :                 tuple_alive = true;
     417              : 
     418      4722366 :             itup = (IndexTuple) PageGetItem(page, iid);
     419              :             Assert(!BTreeTupleIsPivot(itup));
     420              : 
     421      4722366 :             pstate.offnum = offnum;
     422      4722366 :             if (arrayKeys && offnum == minoff && pstate.forcenonrequired)
     423              :             {
     424              :                 /* Reset arrays, per _bt_set_startikey contract */
     425            3 :                 pstate.forcenonrequired = false;
     426            3 :                 pstate.startikey = 0;
     427            3 :                 _bt_start_array_keys(scan, dir);
     428              :             }
     429      4722366 :             passes_quals = _bt_checkkeys(scan, &pstate, arrayKeys,
     430              :                                          itup, indnatts);
     431              : 
     432      4722366 :             if (arrayKeys && so->scanBehind)
     433              :             {
     434              :                 /*
     435              :                  * Done scanning this page, but not done with the current
     436              :                  * primscan.
     437              :                  *
     438              :                  * Note: Forward scans don't check this explicitly, since they
     439              :                  * prefer to reuse pstate.skip for this instead.
     440              :                  */
     441              :                 Assert(!passes_quals && pstate.continuescan);
     442              :                 Assert(!pstate.forcenonrequired);
     443              : 
     444            9 :                 break;
     445              :             }
     446              : 
     447              :             /*
     448              :              * Check if we need to skip ahead to a later tuple (only possible
     449              :              * when the scan uses array keys)
     450              :              */
     451      4722357 :             if (arrayKeys && OffsetNumberIsValid(pstate.skip))
     452              :             {
     453              :                 Assert(!passes_quals && pstate.continuescan);
     454              :                 Assert(offnum > pstate.skip);
     455              :                 Assert(!pstate.forcenonrequired);
     456              : 
     457           18 :                 offnum = pstate.skip;
     458           18 :                 pstate.skip = InvalidOffsetNumber;
     459           18 :                 continue;
     460              :             }
     461              : 
     462      4722339 :             if (passes_quals && tuple_alive)
     463              :             {
     464              :                 /* tuple passes all scan key conditions */
     465      4720947 :                 if (!BTreeTupleIsPosting(itup))
     466              :                 {
     467              :                     /* Remember it */
     468      4696587 :                     itemIndex--;
     469      4696587 :                     _bt_saveitem(so, itemIndex, offnum, itup);
     470              :                 }
     471              :                 else
     472              :                 {
     473        24360 :                     uint16      nitems = BTreeTupleGetNPosting(itup);
     474              :                     int         tupleOffset;
     475              : 
     476              :                     /* Set up posting list state (and remember last TID) */
     477        24360 :                     itemIndex--;
     478              :                     tupleOffset =
     479        24360 :                         _bt_setuppostingitems(so, itemIndex, offnum,
     480        24360 :                                               BTreeTupleGetPostingN(itup, nitems - 1),
     481              :                                               itup);
     482              : 
     483              :                     /* Remember all prior TIDs (must be at least one) */
     484        94272 :                     for (int i = nitems - 2; i >= 0; i--)
     485              :                     {
     486        69912 :                         itemIndex--;
     487        69912 :                         _bt_savepostingitem(so, itemIndex, offnum,
     488              :                                             BTreeTupleGetPostingN(itup, i),
     489              :                                             tupleOffset);
     490              :                     }
     491              :                 }
     492              :             }
     493              :             /* When !continuescan, there can't be any more matches, so stop */
     494      4722339 :             if (!pstate.continuescan)
     495           68 :                 break;
     496              : 
     497      4722271 :             offnum = OffsetNumberPrev(offnum);
     498              :         }
     499              : 
     500              :         /*
     501              :          * We don't need to visit page to the left when no more matches will
     502              :          * be found there
     503              :          */
     504        30144 :         if (!pstate.continuescan)
     505           68 :             so->currPos.moreLeft = false;
     506              : 
     507              :         Assert(itemIndex >= 0);
     508        30144 :         so->currPos.firstItem = itemIndex;
     509        30144 :         so->currPos.lastItem = MaxTIDsPerBTreePage - 1;
     510        30144 :         so->currPos.itemIndex = MaxTIDsPerBTreePage - 1;
     511              :     }
     512              : 
     513              :     /*
     514              :      * If _bt_set_startikey told us to temporarily treat the scan's keys as
     515              :      * nonrequired (possible only during scans with array keys), there must be
     516              :      * no lasting consequences for the scan's array keys.  The scan's arrays
     517              :      * should now have exactly the same elements as they would have had if the
     518              :      * nonrequired behavior had never been used.  (In general, a scan's arrays
     519              :      * are expected to track its progress through the index's key space.)
     520              :      *
     521              :      * We are required (by _bt_set_startikey) to call _bt_checkkeys against
     522              :      * pstate.finaltup with pstate.forcenonrequired=false to allow the scan's
     523              :      * arrays to recover.  Assert that that step hasn't been missed.
     524              :      */
     525              :     Assert(!pstate.forcenonrequired);
     526              : 
     527      8408285 :     return (so->currPos.firstItem <= so->currPos.lastItem);
     528              : }
     529              : 
     530              : /*
     531              :  * _bt_start_array_keys() -- Initialize array keys at start of a scan
     532              :  *
     533              :  * Set up the cur_elem counters and fill in the first sk_argument value for
     534              :  * each array scankey.
     535              :  */
     536              : void
     537        41031 : _bt_start_array_keys(IndexScanDesc scan, ScanDirection dir)
     538              : {
     539        41031 :     Relation    rel = scan->indexRelation;
     540        41031 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
     541              : 
     542              :     Assert(so->numArrayKeys);
     543              :     Assert(so->qual_ok);
     544              : 
     545        82649 :     for (int i = 0; i < so->numArrayKeys; i++)
     546              :     {
     547        41618 :         BTArrayKeyInfo *array = &so->arrayKeys[i];
     548        41618 :         ScanKey     skey = &so->keyData[array->scan_key];
     549              : 
     550              :         Assert(skey->sk_flags & SK_SEARCHARRAY);
     551              : 
     552        41618 :         _bt_array_set_low_or_high(rel, skey, array,
     553              :                                   ScanDirectionIsForward(dir));
     554              :     }
     555        41031 :     so->scanBehind = so->oppositeDirCheck = false;    /* reset */
     556        41031 : }
     557              : 
     558              : /*
     559              :  * Determines an offset to the first scan key (an so->keyData[]-wise offset)
     560              :  * that is _not_ guaranteed to be satisfied by every tuple from pstate.page,
     561              :  * which is set in pstate.startikey for _bt_checkkeys calls for the page.
     562              :  * This allows caller to save cycles on comparisons of a prefix of keys while
     563              :  * reading pstate.page.
     564              :  *
     565              :  * Also determines if later calls to _bt_checkkeys (for pstate.page) should be
     566              :  * forced to treat all required scan keys >= pstate.startikey as nonrequired
     567              :  * (that is, if they're to be treated as if any SK_BT_REQFWD/SK_BT_REQBKWD
     568              :  * markings that were set by preprocessing were not set at all, for the
     569              :  * duration of _bt_checkkeys calls prior to the call for pstate.finaltup).
     570              :  * This is indicated to caller by setting pstate.forcenonrequired.
     571              :  *
     572              :  * Call here at the start of reading a leaf page beyond the first one for the
     573              :  * primitive index scan.  We consider all non-pivot tuples, so it doesn't make
     574              :  * sense to call here when only a subset of those tuples can ever be read.
     575              :  * This is also a good idea on performance grounds; not calling here when on
     576              :  * the first page (first for the current primitive scan) avoids wasting cycles
     577              :  * during selective point queries.  They typically don't stand to gain as much
     578              :  * when we can set pstate.startikey, and are likely to notice the overhead of
     579              :  * calling here.  (Also, allowing pstate.forcenonrequired to be set on a
     580              :  * primscan's first page would mislead _bt_advance_array_keys, which expects
     581              :  * pstate.nskipadvances to be representative of every first page's key space.)
     582              :  *
     583              :  * Caller must call _bt_start_array_keys and reset startikey/forcenonrequired
     584              :  * ahead of the finaltup _bt_checkkeys call when we set forcenonrequired=true.
     585              :  * This will give _bt_checkkeys the opportunity to call _bt_advance_array_keys
     586              :  * with sktrig_required=true, restoring the invariant that the scan's required
     587              :  * arrays always track the scan's progress through the index's key space.
     588              :  * Caller won't need to do this on the rightmost/leftmost page in the index
     589              :  * (where pstate.finaltup isn't ever set), since forcenonrequired will never
     590              :  * be set here in the first place.
     591              :  */
     592              : static void
     593        14315 : _bt_set_startikey(IndexScanDesc scan, BTReadPageState *pstate)
     594              : {
     595        14315 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
     596        14315 :     Relation    rel = scan->indexRelation;
     597        14315 :     TupleDesc   tupdesc = RelationGetDescr(rel);
     598              :     ItemId      iid;
     599              :     IndexTuple  firsttup,
     600              :                 lasttup;
     601        14315 :     int         startikey = 0,
     602        14315 :                 arrayidx = 0,
     603              :                 firstchangingattnum;
     604        14315 :     bool        start_past_saop_eq = false;
     605              : 
     606              :     Assert(!so->scanBehind);
     607              :     Assert(pstate->minoff < pstate->maxoff);
     608              :     Assert(!pstate->firstpage);
     609              :     Assert(pstate->startikey == 0);
     610              :     Assert(!so->numArrayKeys || pstate->finaltup ||
     611              :            P_RIGHTMOST(BTPageGetOpaque(pstate->page)) ||
     612              :            P_LEFTMOST(BTPageGetOpaque(pstate->page)));
     613              : 
     614        14315 :     if (so->numberOfKeys == 0)
     615         5771 :         return;
     616              : 
     617              :     /* minoff is an offset to the lowest non-pivot tuple on the page */
     618         8544 :     iid = PageGetItemId(pstate->page, pstate->minoff);
     619         8544 :     firsttup = (IndexTuple) PageGetItem(pstate->page, iid);
     620              : 
     621              :     /* maxoff is an offset to the highest non-pivot tuple on the page */
     622         8544 :     iid = PageGetItemId(pstate->page, pstate->maxoff);
     623         8544 :     lasttup = (IndexTuple) PageGetItem(pstate->page, iid);
     624              : 
     625              :     /* Determine the first attribute whose values change on caller's page */
     626         8544 :     firstchangingattnum = _bt_keep_natts_fast(rel, firsttup, lasttup);
     627              : 
     628        13315 :     for (; startikey < so->numberOfKeys; startikey++)
     629              :     {
     630         9975 :         ScanKey     key = so->keyData + startikey;
     631              :         BTArrayKeyInfo *array;
     632              :         Datum       firstdatum,
     633              :                     lastdatum;
     634              :         bool        firstnull,
     635              :                     lastnull;
     636              :         int32       result;
     637              : 
     638              :         /*
     639              :          * Determine if it's safe to set pstate.startikey to an offset to a
     640              :          * key that comes after this key, by examining this key
     641              :          */
     642         9975 :         if (key->sk_flags & SK_ROW_HEADER)
     643              :         {
     644              :             /* RowCompare inequality (header key) */
     645            0 :             ScanKey     subkey = (ScanKey) DatumGetPointer(key->sk_argument);
     646            0 :             bool        satisfied = false;
     647              : 
     648              :             for (;;)
     649            0 :             {
     650              :                 int         cmpresult;
     651            0 :                 bool        firstsatisfies = false;
     652              : 
     653            0 :                 if (subkey->sk_attno > firstchangingattnum) /* >, not >= */
     654            0 :                     break;      /* unsafe, preceding attr has multiple
     655              :                                  * distinct values */
     656              : 
     657            0 :                 if (subkey->sk_flags & SK_ISNULL)
     658            0 :                     break;      /* unsafe, unsatisfiable NULL subkey arg */
     659              : 
     660            0 :                 firstdatum = index_getattr(firsttup, subkey->sk_attno,
     661              :                                            tupdesc, &firstnull);
     662            0 :                 lastdatum = index_getattr(lasttup, subkey->sk_attno,
     663              :                                           tupdesc, &lastnull);
     664              : 
     665            0 :                 if (firstnull || lastnull)
     666              :                     break;      /* unsafe, NULL value won't satisfy subkey */
     667              : 
     668              :                 /*
     669              :                  * Compare the first tuple's datum for this row compare member
     670              :                  */
     671            0 :                 cmpresult = DatumGetInt32(FunctionCall2Coll(&subkey->sk_func,
     672              :                                                             subkey->sk_collation,
     673              :                                                             firstdatum,
     674              :                                                             subkey->sk_argument));
     675            0 :                 if (subkey->sk_flags & SK_BT_DESC)
     676            0 :                     INVERT_COMPARE_RESULT(cmpresult);
     677              : 
     678            0 :                 if (cmpresult != 0 || (subkey->sk_flags & SK_ROW_END))
     679              :                 {
     680            0 :                     firstsatisfies = _bt_rowcompare_cmpresult(subkey,
     681              :                                                               cmpresult);
     682            0 :                     if (!firstsatisfies)
     683              :                     {
     684              :                         /* Unsafe, firstdatum does not satisfy subkey */
     685            0 :                         break;
     686              :                     }
     687              :                 }
     688              : 
     689              :                 /*
     690              :                  * Compare the last tuple's datum for this row compare member
     691              :                  */
     692            0 :                 cmpresult = DatumGetInt32(FunctionCall2Coll(&subkey->sk_func,
     693              :                                                             subkey->sk_collation,
     694              :                                                             lastdatum,
     695              :                                                             subkey->sk_argument));
     696            0 :                 if (subkey->sk_flags & SK_BT_DESC)
     697            0 :                     INVERT_COMPARE_RESULT(cmpresult);
     698              : 
     699            0 :                 if (cmpresult != 0 || (subkey->sk_flags & SK_ROW_END))
     700              :                 {
     701            0 :                     if (!firstsatisfies)
     702              :                     {
     703              :                         /*
     704              :                          * It's only safe to set startikey beyond the row
     705              :                          * compare header key when both firsttup and lasttup
     706              :                          * satisfy the key as a whole based on the same
     707              :                          * deciding subkey/attribute.  That can't happen now.
     708              :                          */
     709            0 :                         break;  /* unsafe */
     710              :                     }
     711              : 
     712            0 :                     satisfied = _bt_rowcompare_cmpresult(subkey, cmpresult);
     713            0 :                     break;      /* safe iff 'satisfied' is true */
     714              :                 }
     715              : 
     716              :                 /* Move on to next row member/subkey */
     717            0 :                 if (subkey->sk_flags & SK_ROW_END)
     718            0 :                     break;      /* defensive */
     719            0 :                 subkey++;
     720              : 
     721              :                 /*
     722              :                  * We deliberately don't check if the next subkey has the same
     723              :                  * strategy as this iteration's subkey (which happens when
     724              :                  * subkeys for both ASC and DESC columns are used together),
     725              :                  * nor if any subkey is marked required.  This is safe because
     726              :                  * in general all prior index attributes must have only one
     727              :                  * distinct value (across all of the tuples on the page) in
     728              :                  * order for us to even consider any subkey's attribute.
     729              :                  */
     730              :             }
     731              : 
     732            0 :             if (satisfied)
     733              :             {
     734              :                 /* Safe, row compare satisfied by every tuple on page */
     735         4648 :                 continue;
     736              :             }
     737              : 
     738         5204 :             break;              /* unsafe */
     739              :         }
     740         9975 :         if (key->sk_strategy != BTEqualStrategyNumber)
     741              :         {
     742              :             /*
     743              :              * Scalar inequality key.
     744              :              *
     745              :              * It's definitely safe for _bt_checkkeys to avoid assessing this
     746              :              * inequality when the page's first and last non-pivot tuples both
     747              :              * satisfy the inequality (since the same must also be true of all
     748              :              * the tuples in between these two).
     749              :              *
     750              :              * Unlike the "=" case, it doesn't matter if this attribute has
     751              :              * more than one distinct value (though it _is_ necessary for any
     752              :              * and all _prior_ attributes to contain no more than one distinct
     753              :              * value amongst all of the tuples from pstate.page).
     754              :              */
     755         2374 :             if (key->sk_attno > firstchangingattnum)  /* >, not >= */
     756          179 :                 break;          /* unsafe, preceding attr has multiple
     757              :                                  * distinct values */
     758              : 
     759         2195 :             firstdatum = index_getattr(firsttup, key->sk_attno, tupdesc, &firstnull);
     760         2195 :             lastdatum = index_getattr(lasttup, key->sk_attno, tupdesc, &lastnull);
     761              : 
     762         2195 :             if (key->sk_flags & SK_ISNULL)
     763              :             {
     764              :                 /* IS NOT NULL key */
     765              :                 Assert(key->sk_flags & SK_SEARCHNOTNULL);
     766              : 
     767           68 :                 if (firstnull || lastnull)
     768              :                     break;      /* unsafe */
     769              : 
     770              :                 /* Safe, IS NOT NULL key satisfied by every tuple */
     771           68 :                 continue;
     772              :             }
     773              : 
     774              :             /* Test firsttup */
     775         2127 :             if (firstnull ||
     776         2127 :                 !DatumGetBool(FunctionCall2Coll(&key->sk_func,
     777              :                                                 key->sk_collation, firstdatum,
     778              :                                                 key->sk_argument)))
     779              :                 break;          /* unsafe */
     780              : 
     781              :             /* Test lasttup */
     782         2127 :             if (lastnull ||
     783         2127 :                 !DatumGetBool(FunctionCall2Coll(&key->sk_func,
     784              :                                                 key->sk_collation, lastdatum,
     785              :                                                 key->sk_argument)))
     786              :                 break;          /* unsafe */
     787              : 
     788              :             /* Safe, scalar inequality satisfied by every tuple */
     789         2078 :             continue;
     790              :         }
     791              : 
     792              :         /* Some = key (could be a scalar = key, could be an array = key) */
     793              :         Assert(key->sk_strategy == BTEqualStrategyNumber);
     794              : 
     795         7601 :         if (!(key->sk_flags & SK_SEARCHARRAY))
     796              :         {
     797              :             /*
     798              :              * Scalar = key (possibly an IS NULL key).
     799              :              *
     800              :              * It is unsafe to set pstate.startikey to an ikey beyond this
     801              :              * key, unless the = key is satisfied by every possible tuple on
     802              :              * the page (possible only when attribute has just one distinct
     803              :              * value among all tuples on the page).
     804              :              */
     805         5821 :             if (key->sk_attno >= firstchangingattnum)
     806         4519 :                 break;          /* unsafe, multiple distinct attr values */
     807              : 
     808         1302 :             firstdatum = index_getattr(firsttup, key->sk_attno, tupdesc,
     809              :                                        &firstnull);
     810         1302 :             if (key->sk_flags & SK_ISNULL)
     811              :             {
     812              :                 /* IS NULL key */
     813              :                 Assert(key->sk_flags & SK_SEARCHNULL);
     814              : 
     815            0 :                 if (!firstnull)
     816            0 :                     break;      /* unsafe */
     817              : 
     818              :                 /* Safe, IS NULL key satisfied by every tuple */
     819            0 :                 continue;
     820              :             }
     821         1302 :             if (firstnull ||
     822         1302 :                 !DatumGetBool(FunctionCall2Coll(&key->sk_func,
     823              :                                                 key->sk_collation, firstdatum,
     824              :                                                 key->sk_argument)))
     825              :                 break;          /* unsafe */
     826              : 
     827              :             /* Safe, scalar = key satisfied by every tuple */
     828         1302 :             continue;
     829              :         }
     830              : 
     831              :         /* = array key (could be a SAOP array, could be a skip array) */
     832         1780 :         array = &so->arrayKeys[arrayidx++];
     833              :         Assert(array->scan_key == startikey);
     834         1780 :         if (array->num_elems != -1)
     835              :         {
     836              :             /*
     837              :              * SAOP array = key.
     838              :              *
     839              :              * Handle this like we handle scalar = keys (though binary search
     840              :              * for a matching element, to avoid relying on key's sk_argument).
     841              :              */
     842          426 :             if (key->sk_attno >= firstchangingattnum)
     843          426 :                 break;          /* unsafe, multiple distinct attr values */
     844              : 
     845            0 :             firstdatum = index_getattr(firsttup, key->sk_attno, tupdesc,
     846              :                                        &firstnull);
     847            0 :             _bt_binsrch_array_skey(&so->orderProcs[startikey],
     848              :                                    false, NoMovementScanDirection,
     849              :                                    firstdatum, firstnull, array, key,
     850              :                                    &result);
     851            0 :             if (result != 0)
     852            0 :                 break;          /* unsafe */
     853              : 
     854              :             /* Safe, SAOP = key satisfied by every tuple */
     855            0 :             start_past_saop_eq = true;
     856            0 :             continue;
     857              :         }
     858              : 
     859              :         /*
     860              :          * Skip array = key
     861              :          */
     862              :         Assert(key->sk_flags & SK_BT_SKIP);
     863         1354 :         if (array->null_elem)
     864              :         {
     865              :             /*
     866              :              * Non-range skip array = key.
     867              :              *
     868              :              * Safe, non-range skip array "satisfied" by every tuple on page
     869              :              * (safe even when "key->sk_attno > firstchangingattnum").
     870              :              */
     871         1200 :             continue;
     872              :         }
     873              : 
     874              :         /*
     875              :          * Range skip array = key.
     876              :          *
     877              :          * Handle this like we handle scalar inequality keys (but avoid using
     878              :          * key's sk_argument directly, as in the SAOP array case).
     879              :          */
     880          154 :         if (key->sk_attno > firstchangingattnum)  /* >, not >= */
     881           24 :             break;              /* unsafe, preceding attr has multiple
     882              :                                  * distinct values */
     883              : 
     884          130 :         firstdatum = index_getattr(firsttup, key->sk_attno, tupdesc, &firstnull);
     885          130 :         lastdatum = index_getattr(lasttup, key->sk_attno, tupdesc, &lastnull);
     886              : 
     887              :         /* Test firsttup */
     888          130 :         _bt_binsrch_skiparray_skey(false, ForwardScanDirection,
     889              :                                    firstdatum, firstnull, array, key,
     890              :                                    &result);
     891          130 :         if (result != 0)
     892            0 :             break;              /* unsafe */
     893              : 
     894              :         /* Test lasttup */
     895          130 :         _bt_binsrch_skiparray_skey(false, ForwardScanDirection,
     896              :                                    lastdatum, lastnull, array, key,
     897              :                                    &result);
     898          130 :         if (result != 0)
     899            7 :             break;              /* unsafe */
     900              : 
     901              :         /* Safe, range skip array satisfied by every tuple on page */
     902              :     }
     903              : 
     904              :     /*
     905              :      * Use of forcenonrequired is typically undesirable, since it'll force
     906              :      * _bt_readpage caller to read every tuple on the page -- even though, in
     907              :      * general, it might well be possible to end the scan on an earlier tuple.
     908              :      * However, caller must use forcenonrequired when start_past_saop_eq=true,
     909              :      * since the usual required array behavior might fail to roll over to the
     910              :      * SAOP array.
     911              :      *
     912              :      * We always prefer forcenonrequired=true during scans with skip arrays
     913              :      * (except on the first page of each primitive index scan), though -- even
     914              :      * when "startikey == 0".  That way, _bt_advance_array_keys's low-order
     915              :      * key precheck optimization can always be used (unless on the first page
     916              :      * of the scan).  It seems slightly preferable to check more tuples when
     917              :      * that allows us to do significantly less skip array maintenance.
     918              :      */
     919         8544 :     pstate->forcenonrequired = (start_past_saop_eq || so->skipScan);
     920         8544 :     pstate->startikey = startikey;
     921              : 
     922              :     /*
     923              :      * _bt_readpage caller is required to call _bt_checkkeys against page's
     924              :      * finaltup with forcenonrequired=false whenever we initially set
     925              :      * forcenonrequired=true.  That way the scan's arrays will reliably track
     926              :      * its progress through the index's key space.
     927              :      *
     928              :      * We don't expect this when _bt_readpage caller has no finaltup due to
     929              :      * its page being the rightmost (or the leftmost, during backwards scans).
     930              :      * When we see that _bt_readpage has no finaltup, back out of everything.
     931              :      */
     932              :     Assert(!pstate->forcenonrequired || so->numArrayKeys);
     933         8544 :     if (pstate->forcenonrequired && !pstate->finaltup)
     934              :     {
     935          235 :         pstate->forcenonrequired = false;
     936          235 :         pstate->startikey = 0;
     937              :     }
     938              : }
     939              : 
     940              : /*
     941              :  * Test whether caller's finaltup tuple is still before the start of matches
     942              :  * for the current array keys.
     943              :  *
     944              :  * Called at the start of reading a page during a scan with array keys, though
     945              :  * only when the so->scanBehind flag was set on the scan's prior page.
     946              :  *
     947              :  * Returns false if the tuple is still before the start of matches.  When that
     948              :  * happens, caller should cut its losses and start a new primitive index scan.
     949              :  * Otherwise returns true.
     950              :  */
     951              : static bool
     952         1322 : _bt_scanbehind_checkkeys(IndexScanDesc scan, ScanDirection dir,
     953              :                          IndexTuple finaltup)
     954              : {
     955         1322 :     Relation    rel = scan->indexRelation;
     956         1322 :     TupleDesc   tupdesc = RelationGetDescr(rel);
     957         1322 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
     958         1322 :     int         nfinaltupatts = BTreeTupleGetNAtts(finaltup, rel);
     959              :     bool        scanBehind;
     960              : 
     961              :     Assert(so->numArrayKeys);
     962              : 
     963         1322 :     if (_bt_tuple_before_array_skeys(scan, dir, finaltup, tupdesc,
     964              :                                      nfinaltupatts, false, 0, &scanBehind))
     965          209 :         return false;
     966              : 
     967              :     /*
     968              :      * If scanBehind was set, all of the untruncated attribute values from
     969              :      * finaltup that correspond to an array match the array's current element,
     970              :      * but there are other keys associated with truncated suffix attributes.
     971              :      * Array advancement must have incremented the scan's arrays on the
     972              :      * previous page, resulting in a set of array keys that happen to be an
     973              :      * exact match for the current page high key's untruncated prefix values.
     974              :      *
     975              :      * This page definitely doesn't contain tuples that the scan will need to
     976              :      * return.  The next page may or may not contain relevant tuples.  Handle
     977              :      * this by cutting our losses and starting a new primscan.
     978              :      */
     979         1113 :     if (scanBehind)
     980            0 :         return false;
     981              : 
     982         1113 :     if (!so->oppositeDirCheck)
     983         1051 :         return true;
     984              : 
     985           62 :     return _bt_oppodir_checkkeys(scan, dir, finaltup);
     986              : }
     987              : 
     988              : /*
     989              :  * Test whether an indextuple fails to satisfy an inequality required in the
     990              :  * opposite direction only.
     991              :  *
     992              :  * Caller's finaltup tuple is the page high key (for forwards scans), or the
     993              :  * first non-pivot tuple (for backwards scans).  Called during scans with
     994              :  * required array keys and required opposite-direction inequalities.
     995              :  *
     996              :  * Returns false if an inequality scan key required in the opposite direction
     997              :  * only isn't satisfied (and any earlier required scan keys are satisfied).
     998              :  * Otherwise returns true.
     999              :  *
    1000              :  * An unsatisfied inequality required in the opposite direction only might
    1001              :  * well enable skipping over many leaf pages, provided another _bt_first call
    1002              :  * takes place.  This type of unsatisfied inequality won't usually cause
    1003              :  * _bt_checkkeys to stop the scan to consider array advancement/starting a new
    1004              :  * primitive index scan.
    1005              :  */
    1006              : static bool
    1007         2213 : _bt_oppodir_checkkeys(IndexScanDesc scan, ScanDirection dir,
    1008              :                       IndexTuple finaltup)
    1009              : {
    1010         2213 :     Relation    rel = scan->indexRelation;
    1011         2213 :     TupleDesc   tupdesc = RelationGetDescr(rel);
    1012         2213 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1013         2213 :     int         nfinaltupatts = BTreeTupleGetNAtts(finaltup, rel);
    1014              :     bool        continuescan;
    1015         2213 :     ScanDirection flipped = -dir;
    1016         2213 :     int         ikey = 0;
    1017              : 
    1018              :     Assert(so->numArrayKeys);
    1019              : 
    1020         2213 :     _bt_check_compare(scan, flipped, finaltup, nfinaltupatts, tupdesc, false,
    1021              :                       false, &continuescan,
    1022              :                       &ikey);
    1023              : 
    1024         2213 :     if (!continuescan && so->keyData[ikey].sk_strategy != BTEqualStrategyNumber)
    1025            1 :         return false;
    1026              : 
    1027         2212 :     return true;
    1028              : }
    1029              : 
    1030              : /* Save an index item into so->currPos.items[itemIndex] */
    1031              : static void
    1032     25421212 : _bt_saveitem(BTScanOpaque so, int itemIndex,
    1033              :              OffsetNumber offnum, IndexTuple itup)
    1034              : {
    1035     25421212 :     BTScanPosItem *currItem = &so->currPos.items[itemIndex];
    1036              : 
    1037              :     Assert(!BTreeTupleIsPivot(itup) && !BTreeTupleIsPosting(itup));
    1038              : 
    1039     25421212 :     currItem->heapTid = itup->t_tid;
    1040     25421212 :     currItem->indexOffset = offnum;
    1041     25421212 :     if (so->currTuples)
    1042              :     {
    1043     11890621 :         Size        itupsz = IndexTupleSize(itup);
    1044              : 
    1045     11890621 :         currItem->tupleOffset = so->currPos.nextTupleOffset;
    1046     11890621 :         memcpy(so->currTuples + so->currPos.nextTupleOffset, itup, itupsz);
    1047     11890621 :         so->currPos.nextTupleOffset += MAXALIGN(itupsz);
    1048              :     }
    1049     25421212 : }
    1050              : 
    1051              : /*
    1052              :  * Setup state to save TIDs/items from a single posting list tuple.
    1053              :  *
    1054              :  * Saves an index item into so->currPos.items[itemIndex] for TID that is
    1055              :  * returned to scan first.  Second or subsequent TIDs for posting list should
    1056              :  * be saved by calling _bt_savepostingitem().
    1057              :  *
    1058              :  * Returns an offset into tuple storage space that main tuple is stored at if
    1059              :  * needed.
    1060              :  */
    1061              : static int
    1062       317124 : _bt_setuppostingitems(BTScanOpaque so, int itemIndex, OffsetNumber offnum,
    1063              :                       const ItemPointerData *heapTid, IndexTuple itup)
    1064              : {
    1065       317124 :     BTScanPosItem *currItem = &so->currPos.items[itemIndex];
    1066              : 
    1067              :     Assert(BTreeTupleIsPosting(itup));
    1068              : 
    1069       317124 :     currItem->heapTid = *heapTid;
    1070       317124 :     currItem->indexOffset = offnum;
    1071       317124 :     if (so->currTuples)
    1072              :     {
    1073              :         /* Save base IndexTuple (truncate posting list) */
    1074              :         IndexTuple  base;
    1075        94025 :         Size        itupsz = BTreeTupleGetPostingOffset(itup);
    1076              : 
    1077        94025 :         itupsz = MAXALIGN(itupsz);
    1078        94025 :         currItem->tupleOffset = so->currPos.nextTupleOffset;
    1079        94025 :         base = (IndexTuple) (so->currTuples + so->currPos.nextTupleOffset);
    1080        94025 :         memcpy(base, itup, itupsz);
    1081              :         /* Defensively reduce work area index tuple header size */
    1082        94025 :         base->t_info &= ~INDEX_SIZE_MASK;
    1083        94025 :         base->t_info |= itupsz;
    1084        94025 :         so->currPos.nextTupleOffset += itupsz;
    1085              : 
    1086        94025 :         return currItem->tupleOffset;
    1087              :     }
    1088              : 
    1089       223099 :     return 0;
    1090              : }
    1091              : 
    1092              : /*
    1093              :  * Save an index item into so->currPos.items[itemIndex] for current posting
    1094              :  * tuple.
    1095              :  *
    1096              :  * Assumes that _bt_setuppostingitems() has already been called for current
    1097              :  * posting list tuple.  Caller passes its return value as tupleOffset.
    1098              :  */
    1099              : static inline void
    1100      1362613 : _bt_savepostingitem(BTScanOpaque so, int itemIndex, OffsetNumber offnum,
    1101              :                     ItemPointer heapTid, int tupleOffset)
    1102              : {
    1103      1362613 :     BTScanPosItem *currItem = &so->currPos.items[itemIndex];
    1104              : 
    1105      1362613 :     currItem->heapTid = *heapTid;
    1106      1362613 :     currItem->indexOffset = offnum;
    1107              : 
    1108              :     /*
    1109              :      * Have index-only scans return the same base IndexTuple for every TID
    1110              :      * that originates from the same posting list
    1111              :      */
    1112      1362613 :     if (so->currTuples)
    1113       525874 :         currItem->tupleOffset = tupleOffset;
    1114      1362613 : }
    1115              : 
    1116              : #define LOOK_AHEAD_REQUIRED_RECHECKS    3
    1117              : #define LOOK_AHEAD_DEFAULT_DISTANCE     5
    1118              : #define NSKIPADVANCES_THRESHOLD         3
    1119              : 
    1120              : /*
    1121              :  * Test whether an indextuple satisfies all the scankey conditions.
    1122              :  *
    1123              :  * Returns true if so, false if not.  If not,
    1124              :  * we also determine whether there's any need to continue the scan beyond
    1125              :  * this tuple, and set pstate.continuescan accordingly.  See comments for
    1126              :  * _bt_preprocess_keys() about how this is done.
    1127              :  *
    1128              :  * Forward scan callers can pass a high key tuple in the hopes of having
    1129              :  * us set pstate.continuescan to false, avoiding an unnecessary visit to
    1130              :  * the page to the right.
    1131              :  *
    1132              :  * Advances the scan's array keys when necessary for arrayKeys=true callers.
    1133              :  * Scans without any array keys must always pass arrayKeys=false.
    1134              :  *
    1135              :  * Also stops and starts primitive index scans for arrayKeys=true callers.
    1136              :  * Scans with array keys are required to set up page state that helps us with
    1137              :  * this.  The page's finaltup tuple (the page high key for a forward scan, or
    1138              :  * the page's first non-pivot tuple for a backward scan) must be set in
    1139              :  * pstate.finaltup ahead of the first call here for the page.  Set it to
    1140              :  * NULL for rightmost page (or the leftmost page for backwards scans).
    1141              :  *
    1142              :  * scan: index scan descriptor (containing a search-type scankey)
    1143              :  * pstate: page level input and output parameters
    1144              :  * arrayKeys: should we advance the scan's array keys if necessary?
    1145              :  * tuple: index tuple to test
    1146              :  * tupnatts: number of attributes in tupnatts (high key may be truncated)
    1147              :  */
    1148              : static bool
    1149     32730408 : _bt_checkkeys(IndexScanDesc scan, BTReadPageState *pstate, bool arrayKeys,
    1150              :               IndexTuple tuple, int tupnatts)
    1151              : {
    1152     32730408 :     TupleDesc   tupdesc = RelationGetDescr(scan->indexRelation);
    1153     32730408 :     BTScanOpaque so PG_USED_FOR_ASSERTS_ONLY = (BTScanOpaque) scan->opaque;
    1154     32730408 :     ScanDirection dir = pstate->dir;
    1155     32730408 :     int         ikey = pstate->startikey;
    1156              :     bool        res;
    1157              : 
    1158              :     Assert(BTreeTupleGetNAtts(tuple, scan->indexRelation) == tupnatts);
    1159              :     Assert(!so->needPrimScan && !so->scanBehind && !so->oppositeDirCheck);
    1160              :     Assert(arrayKeys || so->numArrayKeys == 0);
    1161              : 
    1162     32730408 :     res = _bt_check_compare(scan, dir, tuple, tupnatts, tupdesc, arrayKeys,
    1163     32730408 :                             pstate->forcenonrequired, &pstate->continuescan,
    1164              :                             &ikey);
    1165              : 
    1166              :     /*
    1167              :      * If _bt_check_compare relied on the pstate.startikey optimization, call
    1168              :      * again (in assert-enabled builds) to verify it didn't affect our answer.
    1169              :      *
    1170              :      * Note: we can't do this when !pstate.forcenonrequired, since any arrays
    1171              :      * before pstate.startikey won't have advanced on this page at all.
    1172              :      */
    1173              :     Assert(!pstate->forcenonrequired || arrayKeys);
    1174              : #ifdef USE_ASSERT_CHECKING
    1175              :     if (pstate->startikey > 0 && !pstate->forcenonrequired)
    1176              :     {
    1177              :         bool        dres,
    1178              :                     dcontinuescan;
    1179              :         int         dikey = 0;
    1180              : 
    1181              :         /* Pass advancenonrequired=false to avoid array side-effects */
    1182              :         dres = _bt_check_compare(scan, dir, tuple, tupnatts, tupdesc, false,
    1183              :                                  pstate->forcenonrequired, &dcontinuescan,
    1184              :                                  &dikey);
    1185              :         Assert(res == dres);
    1186              :         Assert(pstate->continuescan == dcontinuescan);
    1187              : 
    1188              :         /*
    1189              :          * Should also get the same ikey result.  We need a slightly weaker
    1190              :          * assertion during arrayKeys calls, since they might be using an
    1191              :          * array that couldn't be marked required during preprocessing.
    1192              :          */
    1193              :         Assert(arrayKeys || ikey == dikey);
    1194              :         Assert(ikey <= dikey);
    1195              :     }
    1196              : #endif
    1197              : 
    1198              :     /*
    1199              :      * Only one _bt_check_compare call is required in the common case where
    1200              :      * there are no equality strategy array scan keys.  With array keys, we
    1201              :      * can only accept _bt_check_compare's answer unreservedly when it set
    1202              :      * pstate.continuescan=true.
    1203              :      */
    1204     32730408 :     if (!arrayKeys || pstate->continuescan)
    1205     32614015 :         return res;
    1206              : 
    1207              :     /*
    1208              :      * _bt_check_compare call set continuescan=false in the presence of
    1209              :      * equality type array keys.  This could mean that the tuple is just past
    1210              :      * the end of matches for the current array keys.
    1211              :      *
    1212              :      * It's also possible that the scan is still _before_ the _start_ of
    1213              :      * tuples matching the current set of array keys.  Check for that first.
    1214              :      */
    1215              :     Assert(!pstate->forcenonrequired);
    1216       116393 :     if (_bt_tuple_before_array_skeys(scan, dir, tuple, tupdesc, tupnatts, true,
    1217              :                                      ikey, NULL))
    1218              :     {
    1219              :         /* Override _bt_check_compare, continue primitive scan */
    1220        20775 :         pstate->continuescan = true;
    1221              : 
    1222              :         /*
    1223              :          * We will end up here repeatedly given a group of tuples > the
    1224              :          * previous array keys and < the now-current keys (for a backwards
    1225              :          * scan it's just the same, though the operators swap positions).
    1226              :          *
    1227              :          * We must avoid allowing this linear search process to scan very many
    1228              :          * tuples from well before the start of tuples matching the current
    1229              :          * array keys (or from well before the point where we'll once again
    1230              :          * have to advance the scan's array keys).
    1231              :          *
    1232              :          * We keep the overhead under control by speculatively "looking ahead"
    1233              :          * to later still-unscanned items from this same leaf page.  We'll
    1234              :          * only attempt this once the number of tuples that the linear search
    1235              :          * process has examined starts to get out of hand.
    1236              :          */
    1237        20775 :         pstate->rechecks++;
    1238        20775 :         if (pstate->rechecks >= LOOK_AHEAD_REQUIRED_RECHECKS)
    1239              :         {
    1240              :             /* See if we should skip ahead within the current leaf page */
    1241         5961 :             _bt_checkkeys_look_ahead(scan, pstate, tupnatts, tupdesc);
    1242              : 
    1243              :             /*
    1244              :              * Might have set pstate.skip to a later page offset.  When that
    1245              :              * happens then _bt_readpage caller will inexpensively skip ahead
    1246              :              * to a later tuple from the same page (the one just after the
    1247              :              * tuple we successfully "looked ahead" to).
    1248              :              */
    1249              :         }
    1250              : 
    1251              :         /* This indextuple doesn't match the current qual, in any case */
    1252        20775 :         return false;
    1253              :     }
    1254              : 
    1255              :     /*
    1256              :      * Caller's tuple is >= the current set of array keys and other equality
    1257              :      * constraint scan keys (or <= if this is a backwards scan).  It's now
    1258              :      * clear that we _must_ advance any required array keys in lockstep with
    1259              :      * the scan.
    1260              :      */
    1261        95618 :     return _bt_advance_array_keys(scan, pstate, tuple, tupnatts, tupdesc,
    1262              :                                   ikey, true);
    1263              : }
    1264              : 
    1265              : /*
    1266              :  * Test whether an indextuple satisfies current scan condition.
    1267              :  *
    1268              :  * Return true if so, false if not.  If not, also sets *continuescan to false
    1269              :  * when it's also not possible for any later tuples to pass the current qual
    1270              :  * (with the scan's current set of array keys, in the current scan direction),
    1271              :  * in addition to setting *ikey to the so->keyData[] subscript/offset for the
    1272              :  * unsatisfied scan key (needed when caller must consider advancing the scan's
    1273              :  * array keys).
    1274              :  *
    1275              :  * This is a subroutine for _bt_checkkeys.  We provisionally assume that
    1276              :  * reaching the end of the current set of required keys (in particular the
    1277              :  * current required array keys) ends the ongoing (primitive) index scan.
    1278              :  * Callers without array keys should just end the scan right away when they
    1279              :  * find that continuescan has been set to false here by us.  Things are more
    1280              :  * complicated for callers with array keys.
    1281              :  *
    1282              :  * Callers with array keys must first consider advancing the arrays when
    1283              :  * continuescan has been set to false here by us.  They must then consider if
    1284              :  * it really does make sense to end the current (primitive) index scan, in
    1285              :  * light of everything that is known at that point.  (In general when we set
    1286              :  * continuescan=false for these callers it must be treated as provisional.)
    1287              :  *
    1288              :  * We deal with advancing unsatisfied non-required arrays directly, though.
    1289              :  * This is safe, since by definition non-required keys can't end the scan.
    1290              :  * This is just how we determine if non-required arrays are just unsatisfied
    1291              :  * by the current array key, or if they're truly unsatisfied (that is, if
    1292              :  * they're unsatisfied by every possible array key).
    1293              :  *
    1294              :  * Pass advancenonrequired=false to avoid all array related side effects.
    1295              :  * This allows _bt_advance_array_keys caller to avoid infinite recursion.
    1296              :  *
    1297              :  * Pass forcenonrequired=true to instruct us to treat all keys as nonrequired.
    1298              :  * This is used to make it safe to temporarily stop properly maintaining the
    1299              :  * scan's required arrays.  _bt_checkkeys caller (_bt_readpage, actually)
    1300              :  * determines a prefix of keys that must satisfy every possible corresponding
    1301              :  * index attribute value from its page, which is passed to us via *ikey arg
    1302              :  * (this is the first key that might be unsatisfied by tuples on the page).
    1303              :  * Obviously, we won't maintain any array keys from before *ikey, so it's
    1304              :  * quite possible for such arrays to "fall behind" the index's keyspace.
    1305              :  * Caller will need to "catch up" by passing forcenonrequired=true (alongside
    1306              :  * an *ikey=0) once the page's finaltup is reached.
    1307              :  *
    1308              :  * Note: it's safe to pass an *ikey > 0 with forcenonrequired=false, but only
    1309              :  * when caller determines that it won't affect array maintenance.
    1310              :  */
    1311              : static bool
    1312     32761097 : _bt_check_compare(IndexScanDesc scan, ScanDirection dir,
    1313              :                   IndexTuple tuple, int tupnatts, TupleDesc tupdesc,
    1314              :                   bool advancenonrequired, bool forcenonrequired,
    1315              :                   bool *continuescan, int *ikey)
    1316              : {
    1317     32761097 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1318              : 
    1319     32761097 :     *continuescan = true;       /* default assumption */
    1320              : 
    1321     63180784 :     for (; *ikey < so->numberOfKeys; (*ikey)++)
    1322              :     {
    1323     37413446 :         ScanKey     key = so->keyData + *ikey;
    1324              :         Datum       datum;
    1325              :         bool        isNull;
    1326     37413446 :         bool        requiredSameDir = false,
    1327     37413446 :                     requiredOppositeDirOnly = false;
    1328              : 
    1329              :         /*
    1330              :          * Check if the key is required in the current scan direction, in the
    1331              :          * opposite scan direction _only_, or in neither direction (except
    1332              :          * when we're forced to treat all scan keys as nonrequired)
    1333              :          */
    1334     37413446 :         if (forcenonrequired)
    1335              :         {
    1336              :             /* treating scan's keys as non-required */
    1337              :         }
    1338     37199008 :         else if (((key->sk_flags & SK_BT_REQFWD) && ScanDirectionIsForward(dir)) ||
    1339      7900034 :                  ((key->sk_flags & SK_BT_REQBKWD) && ScanDirectionIsBackward(dir)))
    1340     29311249 :             requiredSameDir = true;
    1341      7887759 :         else if (((key->sk_flags & SK_BT_REQFWD) && ScanDirectionIsBackward(dir)) ||
    1342      3190037 :                  ((key->sk_flags & SK_BT_REQBKWD) && ScanDirectionIsForward(dir)))
    1343      7887759 :             requiredOppositeDirOnly = true;
    1344              : 
    1345     37413446 :         if (key->sk_attno > tupnatts)
    1346              :         {
    1347              :             /*
    1348              :              * This attribute is truncated (must be high key).  The value for
    1349              :              * this attribute in the first non-pivot tuple on the page to the
    1350              :              * right could be any possible value.  Assume that truncated
    1351              :              * attribute passes the qual.
    1352              :              */
    1353              :             Assert(BTreeTupleIsPivot(tuple));
    1354     10234042 :             continue;
    1355              :         }
    1356              : 
    1357              :         /*
    1358              :          * A skip array scan key uses one of several sentinel values.  We just
    1359              :          * fall back on _bt_tuple_before_array_skeys when we see such a value.
    1360              :          */
    1361     37412278 :         if (key->sk_flags & (SK_BT_MINVAL | SK_BT_MAXVAL |
    1362              :                              SK_BT_NEXT | SK_BT_PRIOR))
    1363              :         {
    1364              :             Assert(key->sk_flags & SK_SEARCHARRAY);
    1365              :             Assert(key->sk_flags & SK_BT_SKIP);
    1366              :             Assert(requiredSameDir || forcenonrequired);
    1367              : 
    1368              :             /*
    1369              :              * Cannot fall back on _bt_tuple_before_array_skeys when we're
    1370              :              * treating the scan's keys as nonrequired, though.  Just handle
    1371              :              * this like any other non-required equality-type array key.
    1372              :              */
    1373        17975 :             if (forcenonrequired)
    1374      6993759 :                 return _bt_advance_array_keys(scan, NULL, tuple, tupnatts,
    1375              :                                               tupdesc, *ikey, false);
    1376              : 
    1377        16954 :             *continuescan = false;
    1378        16954 :             return false;
    1379              :         }
    1380              : 
    1381              :         /* row-comparison keys need special processing */
    1382     37394303 :         if (key->sk_flags & SK_ROW_HEADER)
    1383              :         {
    1384         1227 :             if (_bt_check_rowcompare(key, tuple, tupnatts, tupdesc, dir,
    1385              :                                      forcenonrequired, continuescan))
    1386         1194 :                 continue;
    1387           33 :             return false;
    1388              :         }
    1389              : 
    1390     37393076 :         datum = index_getattr(tuple,
    1391     37393076 :                               key->sk_attno,
    1392              :                               tupdesc,
    1393              :                               &isNull);
    1394              : 
    1395     37393076 :         if (key->sk_flags & SK_ISNULL)
    1396              :         {
    1397              :             /* Handle IS NULL/NOT NULL tests */
    1398     10240566 :             if (key->sk_flags & SK_SEARCHNULL)
    1399              :             {
    1400         9064 :                 if (isNull)
    1401          214 :                     continue;   /* tuple satisfies this qual */
    1402              :             }
    1403              :             else
    1404              :             {
    1405              :                 Assert(key->sk_flags & SK_SEARCHNOTNULL);
    1406              :                 Assert(!(key->sk_flags & SK_BT_SKIP));
    1407     10231502 :                 if (!isNull)
    1408     10231466 :                     continue;   /* tuple satisfies this qual */
    1409              :             }
    1410              : 
    1411              :             /*
    1412              :              * Tuple fails this qual.  If it's a required qual for the current
    1413              :              * scan direction, then we can conclude no further tuples will
    1414              :              * pass, either.
    1415              :              */
    1416         8886 :             if (requiredSameDir)
    1417          102 :                 *continuescan = false;
    1418         8784 :             else if (unlikely(key->sk_flags & SK_BT_SKIP))
    1419              :             {
    1420              :                 /*
    1421              :                  * If we're treating scan keys as nonrequired, and encounter a
    1422              :                  * skip array scan key whose current element is NULL, then it
    1423              :                  * must be a non-range skip array.  It must be satisfied, so
    1424              :                  * there's no need to call _bt_advance_array_keys to check.
    1425              :                  */
    1426              :                 Assert(forcenonrequired && *ikey > 0);
    1427            0 :                 continue;
    1428              :             }
    1429              : 
    1430              :             /*
    1431              :              * This indextuple doesn't match the qual.
    1432              :              */
    1433         8886 :             return false;
    1434              :         }
    1435              : 
    1436     27152510 :         if (isNull)
    1437              :         {
    1438              :             /*
    1439              :              * Scalar scan key isn't satisfied by NULL tuple value.
    1440              :              *
    1441              :              * If we're treating scan keys as nonrequired, and key is for a
    1442              :              * skip array, then we must attempt to advance the array to NULL
    1443              :              * (if we're successful then the tuple might match the qual).
    1444              :              */
    1445          114 :             if (unlikely(forcenonrequired && key->sk_flags & SK_BT_SKIP))
    1446            0 :                 return _bt_advance_array_keys(scan, NULL, tuple, tupnatts,
    1447              :                                               tupdesc, *ikey, false);
    1448              : 
    1449          114 :             if (key->sk_flags & SK_BT_NULLS_FIRST)
    1450              :             {
    1451              :                 /*
    1452              :                  * Since NULLs are sorted before non-NULLs, we know we have
    1453              :                  * reached the lower limit of the range of values for this
    1454              :                  * index attr.  On a backward scan, we can stop if this qual
    1455              :                  * is one of the "must match" subset.  We can stop regardless
    1456              :                  * of whether the qual is > or <, so long as it's required,
    1457              :                  * because it's not possible for any future tuples to pass. On
    1458              :                  * a forward scan, however, we must keep going, because we may
    1459              :                  * have initially positioned to the start of the index.
    1460              :                  * (_bt_advance_array_keys also relies on this behavior during
    1461              :                  * forward scans.)
    1462              :                  */
    1463            0 :                 if ((requiredSameDir || requiredOppositeDirOnly) &&
    1464              :                     ScanDirectionIsBackward(dir))
    1465            0 :                     *continuescan = false;
    1466              :             }
    1467              :             else
    1468              :             {
    1469              :                 /*
    1470              :                  * Since NULLs are sorted after non-NULLs, we know we have
    1471              :                  * reached the upper limit of the range of values for this
    1472              :                  * index attr.  On a forward scan, we can stop if this qual is
    1473              :                  * one of the "must match" subset.  We can stop regardless of
    1474              :                  * whether the qual is > or <, so long as it's required,
    1475              :                  * because it's not possible for any future tuples to pass. On
    1476              :                  * a backward scan, however, we must keep going, because we
    1477              :                  * may have initially positioned to the end of the index.
    1478              :                  * (_bt_advance_array_keys also relies on this behavior during
    1479              :                  * backward scans.)
    1480              :                  */
    1481          114 :                 if ((requiredSameDir || requiredOppositeDirOnly) &&
    1482              :                     ScanDirectionIsForward(dir))
    1483          111 :                     *continuescan = false;
    1484              :             }
    1485              : 
    1486              :             /*
    1487              :              * This indextuple doesn't match the qual.
    1488              :              */
    1489          114 :             return false;
    1490              :         }
    1491              : 
    1492     27152396 :         if (!DatumGetBool(FunctionCall2Coll(&key->sk_func, key->sk_collation,
    1493              :                                             datum, key->sk_argument)))
    1494              :         {
    1495              :             /*
    1496              :              * Tuple fails this qual.  If it's a required qual for the current
    1497              :              * scan direction, then we can conclude no further tuples will
    1498              :              * pass, either.
    1499              :              */
    1500      6966751 :             if (requiredSameDir)
    1501      6777351 :                 *continuescan = false;
    1502              : 
    1503              :             /*
    1504              :              * If this is a non-required equality-type array key, the tuple
    1505              :              * needs to be checked against every possible array key.  Handle
    1506              :              * this by "advancing" the scan key's array to a matching value
    1507              :              * (if we're successful then the tuple might match the qual).
    1508              :              */
    1509       189400 :             else if (advancenonrequired &&
    1510       185677 :                      key->sk_strategy == BTEqualStrategyNumber &&
    1511       147693 :                      (key->sk_flags & SK_SEARCHARRAY))
    1512         3836 :                 return _bt_advance_array_keys(scan, NULL, tuple, tupnatts,
    1513              :                                               tupdesc, *ikey, false);
    1514              : 
    1515              :             /*
    1516              :              * This indextuple doesn't match the qual.
    1517              :              */
    1518      6962915 :             return false;
    1519              :         }
    1520              :     }
    1521              : 
    1522              :     /* If we get here, the tuple passes all index quals. */
    1523     25767338 :     return true;
    1524              : }
    1525              : 
    1526              : /*
    1527              :  * Test whether an indextuple satisfies a row-comparison scan condition.
    1528              :  *
    1529              :  * Return true if so, false if not.  If not, also clear *continuescan if
    1530              :  * it's not possible for any future tuples in the current scan direction
    1531              :  * to pass the qual.
    1532              :  *
    1533              :  * This is a subroutine for _bt_checkkeys/_bt_check_compare.  Caller passes us
    1534              :  * a row compare header key taken from so->keyData[].
    1535              :  *
    1536              :  * Row value comparisons can be described in terms of logical expansions that
    1537              :  * use only scalar operators.  Consider the following example row comparison:
    1538              :  *
    1539              :  * "(a, b, c) > (7, 'bar', 62)"
    1540              :  *
    1541              :  * This can be evaluated as:
    1542              :  *
    1543              :  * "(a = 7 AND b = 'bar' AND c > 62) OR (a = 7 AND b > 'bar') OR (a > 7)".
    1544              :  *
    1545              :  * Notice that this condition is satisfied by _all_ rows that satisfy "a > 7",
    1546              :  * and by a subset of all rows that satisfy "a >= 7" (possibly all such rows).
    1547              :  * It _can't_ be satisfied by other rows (where "a < 7" or where "a IS NULL").
    1548              :  * A row comparison header key can therefore often be treated as if it was a
    1549              :  * simple scalar inequality on the row compare's most significant column.
    1550              :  * (For example, _bt_advance_array_keys and most preprocessing routines treat
    1551              :  * row compares like any other same-strategy inequality on the same column.)
    1552              :  *
    1553              :  * Things get more complicated for our row compare given a row where "a = 7".
    1554              :  * Note that a row compare isn't necessarily satisfied by _every_ tuple that
    1555              :  * appears between the first and last satisfied tuple returned by the scan,
    1556              :  * due to the way that its lower-order subkeys are only conditionally applied.
    1557              :  * A forwards scan that uses our example qual might initially return a tuple
    1558              :  * "(a, b, c) = (7, 'zebra', 54)".  But it won't subsequently return a tuple
    1559              :  * "(a, b, c) = (7, NULL, 1)" located to the right of the first matching tuple
    1560              :  * (assume that "b" was declared NULLS LAST here).  The scan will only return
    1561              :  * additional matches upon reaching tuples where "a > 7".  If you rereview our
    1562              :  * example row comparison's logical expansion, you'll understand why this is.
    1563              :  * (Here we assume that all subkeys could be marked required, guaranteeing
    1564              :  * that row comparison order matches index order.  This is the common case.)
    1565              :  *
    1566              :  * Note that a row comparison header key behaves _exactly_ the same as a
    1567              :  * similar scalar inequality key on the row's most significant column once the
    1568              :  * scan reaches the point where it no longer needs to evaluate lower-order
    1569              :  * subkeys (or before the point where it starts needing to evaluate them).
    1570              :  * For example, once a forwards scan that uses our example qual reaches the
    1571              :  * first tuple "a > 7", we'll behave in just the same way as our caller would
    1572              :  * behave with a similar scalar inequality "a > 7" for the remainder of the
    1573              :  * scan (assuming that the scan never changes direction/never goes backwards).
    1574              :  * We'll even set continuescan=false according to exactly the same rules as
    1575              :  * the ones our caller applies with simple scalar inequalities, including the
    1576              :  * rules it applies when NULL tuple values don't satisfy an inequality qual.
    1577              :  */
    1578              : static bool
    1579         1227 : _bt_check_rowcompare(ScanKey header, IndexTuple tuple, int tupnatts,
    1580              :                      TupleDesc tupdesc, ScanDirection dir,
    1581              :                      bool forcenonrequired, bool *continuescan)
    1582              : {
    1583         1227 :     ScanKey     subkey = (ScanKey) DatumGetPointer(header->sk_argument);
    1584         1227 :     int32       cmpresult = 0;
    1585              :     bool        result;
    1586              : 
    1587              :     /* First subkey should be same as the header says */
    1588              :     Assert(header->sk_flags & SK_ROW_HEADER);
    1589              :     Assert(subkey->sk_attno == header->sk_attno);
    1590              :     Assert(subkey->sk_strategy == header->sk_strategy);
    1591              : 
    1592              :     /* Loop over columns of the row condition */
    1593              :     for (;;)
    1594          120 :     {
    1595              :         Datum       datum;
    1596              :         bool        isNull;
    1597              : 
    1598              :         Assert(subkey->sk_flags & SK_ROW_MEMBER);
    1599              : 
    1600              :         /* When a NULL row member is compared, the row never matches */
    1601         1347 :         if (subkey->sk_flags & SK_ISNULL)
    1602              :         {
    1603              :             /*
    1604              :              * Unlike the simple-scankey case, this isn't a disallowed case
    1605              :              * (except when it's the first row element that has the NULL arg).
    1606              :              * But it can never match.  If all the earlier row comparison
    1607              :              * columns are required for the scan direction, we can stop the
    1608              :              * scan, because there can't be another tuple that will succeed.
    1609              :              */
    1610              :             Assert(subkey != (ScanKey) DatumGetPointer(header->sk_argument));
    1611            6 :             subkey--;
    1612            6 :             if (forcenonrequired)
    1613              :             {
    1614              :                 /* treating scan's keys as non-required */
    1615              :             }
    1616            6 :             else if ((subkey->sk_flags & SK_BT_REQFWD) &&
    1617              :                      ScanDirectionIsForward(dir))
    1618            3 :                 *continuescan = false;
    1619            3 :             else if ((subkey->sk_flags & SK_BT_REQBKWD) &&
    1620              :                      ScanDirectionIsBackward(dir))
    1621            3 :                 *continuescan = false;
    1622           33 :             return false;
    1623              :         }
    1624              : 
    1625         1341 :         if (subkey->sk_attno > tupnatts)
    1626              :         {
    1627              :             /*
    1628              :              * This attribute is truncated (must be high key).  The value for
    1629              :              * this attribute in the first non-pivot tuple on the page to the
    1630              :              * right could be any possible value.  Assume that truncated
    1631              :              * attribute passes the qual.
    1632              :              */
    1633              :             Assert(BTreeTupleIsPivot(tuple));
    1634            3 :             return true;
    1635              :         }
    1636              : 
    1637         1338 :         datum = index_getattr(tuple,
    1638         1338 :                               subkey->sk_attno,
    1639              :                               tupdesc,
    1640              :                               &isNull);
    1641              : 
    1642         1338 :         if (isNull)
    1643              :         {
    1644              :             int         reqflags;
    1645              : 
    1646           24 :             if (forcenonrequired)
    1647              :             {
    1648              :                 /* treating scan's keys as non-required */
    1649              :             }
    1650           24 :             else if (subkey->sk_flags & SK_BT_NULLS_FIRST)
    1651              :             {
    1652              :                 /*
    1653              :                  * Since NULLs are sorted before non-NULLs, we know we have
    1654              :                  * reached the lower limit of the range of values for this
    1655              :                  * index attr.  On a backward scan, we can stop if this qual
    1656              :                  * is one of the "must match" subset.  However, on a forwards
    1657              :                  * scan, we must keep going, because we may have initially
    1658              :                  * positioned to the start of the index.
    1659              :                  *
    1660              :                  * All required NULLS FIRST > row members can use NULL tuple
    1661              :                  * values to end backwards scans, just like with other values.
    1662              :                  * A qual "WHERE (a, b, c) > (9, 42, 'foo')" can terminate a
    1663              :                  * backwards scan upon reaching the index's rightmost "a = 9"
    1664              :                  * tuple whose "b" column contains a NULL (if not sooner).
    1665              :                  * Since "b" is NULLS FIRST, we can treat its NULLs as "<" 42.
    1666              :                  */
    1667            0 :                 reqflags = SK_BT_REQBKWD;
    1668              : 
    1669              :                 /*
    1670              :                  * When a most significant required NULLS FIRST < row compare
    1671              :                  * member sees NULL tuple values during a backwards scan, it
    1672              :                  * signals the end of matches for the whole row compare/scan.
    1673              :                  * A qual "WHERE (a, b, c) < (9, 42, 'foo')" will terminate a
    1674              :                  * backwards scan upon reaching the rightmost tuple whose "a"
    1675              :                  * column has a NULL.  The "a" NULL value is "<" 9, and yet
    1676              :                  * our < row compare will still end the scan.  (This isn't
    1677              :                  * safe with later/lower-order row members.  Notice that it
    1678              :                  * can only happen with an "a" NULL some time after the scan
    1679              :                  * completely stops needing to use its "b" and "c" members.)
    1680              :                  */
    1681            0 :                 if (subkey == (ScanKey) DatumGetPointer(header->sk_argument))
    1682            0 :                     reqflags |= SK_BT_REQFWD;   /* safe, first row member */
    1683              : 
    1684            0 :                 if ((subkey->sk_flags & reqflags) &&
    1685              :                     ScanDirectionIsBackward(dir))
    1686            0 :                     *continuescan = false;
    1687              :             }
    1688              :             else
    1689              :             {
    1690              :                 /*
    1691              :                  * Since NULLs are sorted after non-NULLs, we know we have
    1692              :                  * reached the upper limit of the range of values for this
    1693              :                  * index attr.  On a forward scan, we can stop if this qual is
    1694              :                  * one of the "must match" subset.  However, on a backward
    1695              :                  * scan, we must keep going, because we may have initially
    1696              :                  * positioned to the end of the index.
    1697              :                  *
    1698              :                  * All required NULLS LAST < row members can use NULL tuple
    1699              :                  * values to end forwards scans, just like with other values.
    1700              :                  * A qual "WHERE (a, b, c) < (9, 42, 'foo')" can terminate a
    1701              :                  * forwards scan upon reaching the index's leftmost "a = 9"
    1702              :                  * tuple whose "b" column contains a NULL (if not sooner).
    1703              :                  * Since "b" is NULLS LAST, we can treat its NULLs as ">" 42.
    1704              :                  */
    1705           24 :                 reqflags = SK_BT_REQFWD;
    1706              : 
    1707              :                 /*
    1708              :                  * When a most significant required NULLS LAST > row compare
    1709              :                  * member sees NULL tuple values during a forwards scan, it
    1710              :                  * signals the end of matches for the whole row compare/scan.
    1711              :                  * A qual "WHERE (a, b, c) > (9, 42, 'foo')" will terminate a
    1712              :                  * forwards scan upon reaching the leftmost tuple whose "a"
    1713              :                  * column has a NULL.  The "a" NULL value is ">" 9, and yet
    1714              :                  * our > row compare will end the scan.  (This isn't safe with
    1715              :                  * later/lower-order row members.  Notice that it can only
    1716              :                  * happen with an "a" NULL some time after the scan completely
    1717              :                  * stops needing to use its "b" and "c" members.)
    1718              :                  */
    1719           24 :                 if (subkey == (ScanKey) DatumGetPointer(header->sk_argument))
    1720            0 :                     reqflags |= SK_BT_REQBKWD;  /* safe, first row member */
    1721              : 
    1722           24 :                 if ((subkey->sk_flags & reqflags) &&
    1723              :                     ScanDirectionIsForward(dir))
    1724            0 :                     *continuescan = false;
    1725              :             }
    1726              : 
    1727              :             /*
    1728              :              * In any case, this indextuple doesn't match the qual.
    1729              :              */
    1730           24 :             return false;
    1731              :         }
    1732              : 
    1733              :         /* Perform the test --- three-way comparison not bool operator */
    1734         1314 :         cmpresult = DatumGetInt32(FunctionCall2Coll(&subkey->sk_func,
    1735              :                                                     subkey->sk_collation,
    1736              :                                                     datum,
    1737              :                                                     subkey->sk_argument));
    1738              : 
    1739         1314 :         if (subkey->sk_flags & SK_BT_DESC)
    1740            0 :             INVERT_COMPARE_RESULT(cmpresult);
    1741              : 
    1742              :         /* Done comparing if unequal, else advance to next column */
    1743         1314 :         if (cmpresult != 0)
    1744         1194 :             break;
    1745              : 
    1746          120 :         if (subkey->sk_flags & SK_ROW_END)
    1747            0 :             break;
    1748          120 :         subkey++;
    1749              :     }
    1750              : 
    1751              :     /* Final subkey/column determines if row compare is satisfied */
    1752         1194 :     result = _bt_rowcompare_cmpresult(subkey, cmpresult);
    1753              : 
    1754         1194 :     if (!result && !forcenonrequired)
    1755              :     {
    1756              :         /*
    1757              :          * Tuple fails this qual.  If it's a required qual for the current
    1758              :          * scan direction, then we can conclude no further tuples will pass,
    1759              :          * either.  Note we have to look at the deciding column, not
    1760              :          * necessarily the first or last column of the row condition.
    1761              :          */
    1762            3 :         if ((subkey->sk_flags & SK_BT_REQFWD) &&
    1763              :             ScanDirectionIsForward(dir))
    1764            3 :             *continuescan = false;
    1765            0 :         else if ((subkey->sk_flags & SK_BT_REQBKWD) &&
    1766              :                  ScanDirectionIsBackward(dir))
    1767            0 :             *continuescan = false;
    1768              :     }
    1769              : 
    1770         1194 :     return result;
    1771              : }
    1772              : 
    1773              : /*
    1774              :  * Call here when a row compare member returns a non-zero result, or with the
    1775              :  * result for the final ROW_END row compare member (no matter the cmpresult).
    1776              :  *
    1777              :  * cmpresult indicates the overall result of the row comparison (must already
    1778              :  * be commuted for DESC subkeys), and subkey is the deciding row member.
    1779              :  */
    1780              : static bool
    1781         1194 : _bt_rowcompare_cmpresult(ScanKey subkey, int cmpresult)
    1782              : {
    1783              :     bool        satisfied;
    1784              : 
    1785              :     Assert(subkey->sk_flags & SK_ROW_MEMBER);
    1786              : 
    1787         1194 :     switch (subkey->sk_strategy)
    1788              :     {
    1789           93 :         case BTLessStrategyNumber:
    1790           93 :             satisfied = (cmpresult < 0);
    1791           93 :             break;
    1792          792 :         case BTLessEqualStrategyNumber:
    1793          792 :             satisfied = (cmpresult <= 0);
    1794          792 :             break;
    1795          123 :         case BTGreaterEqualStrategyNumber:
    1796          123 :             satisfied = (cmpresult >= 0);
    1797          123 :             break;
    1798          186 :         case BTGreaterStrategyNumber:
    1799          186 :             satisfied = (cmpresult > 0);
    1800          186 :             break;
    1801            0 :         default:
    1802              :             /* EQ and NE cases aren't allowed here */
    1803            0 :             elog(ERROR, "unexpected strategy number %d", subkey->sk_strategy);
    1804              :             satisfied = false;  /* keep compiler quiet */
    1805              :             break;
    1806              :     }
    1807              : 
    1808         1194 :     return satisfied;
    1809              : }
    1810              : 
    1811              : /*
    1812              :  * _bt_tuple_before_array_skeys() -- too early to advance required arrays?
    1813              :  *
    1814              :  * We always compare the tuple using the current array keys (which we assume
    1815              :  * are already set in so->keyData[]).  readpagetup indicates if tuple is the
    1816              :  * scan's current _bt_readpage-wise tuple.
    1817              :  *
    1818              :  * readpagetup callers must only call here when _bt_check_compare already set
    1819              :  * continuescan=false.  We help these callers deal with _bt_check_compare's
    1820              :  * inability to distinguish between the < and > cases (it uses equality
    1821              :  * operator scan keys, whereas we use 3-way ORDER procs).  These callers pass
    1822              :  * a _bt_check_compare-set sktrig value that indicates which scan key
    1823              :  * triggered the call (!readpagetup callers just pass us sktrig=0 instead).
    1824              :  * This information allows us to avoid wastefully checking earlier scan keys
    1825              :  * that were already deemed to have been satisfied inside _bt_check_compare.
    1826              :  *
    1827              :  * Returns false when caller's tuple is >= the current required equality scan
    1828              :  * keys (or <=, in the case of backwards scans).  This happens to readpagetup
    1829              :  * callers when the scan has reached the point of needing its array keys
    1830              :  * advanced; caller will need to advance required and non-required arrays at
    1831              :  * scan key offsets >= sktrig, plus scan keys < sktrig iff sktrig rolls over.
    1832              :  * (When we return false to readpagetup callers, tuple can only be == current
    1833              :  * required equality scan keys when caller's sktrig indicates that the arrays
    1834              :  * need to be advanced due to an unsatisfied required inequality key trigger.)
    1835              :  *
    1836              :  * Returns true when caller passes a tuple that is < the current set of
    1837              :  * equality keys for the most significant non-equal required scan key/column
    1838              :  * (or > the keys, during backwards scans).  This happens to readpagetup
    1839              :  * callers when tuple is still before the start of matches for the scan's
    1840              :  * required equality strategy scan keys.  (sktrig can't have indicated that an
    1841              :  * inequality strategy scan key wasn't satisfied in _bt_check_compare when we
    1842              :  * return true.  In fact, we automatically return false when passed such an
    1843              :  * inequality sktrig by readpagetup callers -- _bt_check_compare's initial
    1844              :  * continuescan=false doesn't really need to be confirmed here by us.)
    1845              :  *
    1846              :  * !readpagetup callers optionally pass us *scanBehind, which tracks whether
    1847              :  * any missing truncated attributes might have affected array advancement
    1848              :  * (compared to what would happen if it was shown the first non-pivot tuple on
    1849              :  * the page to the right of caller's finaltup/high key tuple instead).  It's
    1850              :  * only possible that we'll set *scanBehind to true when caller passes us a
    1851              :  * pivot tuple (with truncated -inf attributes) that we return false for.
    1852              :  */
    1853              : static bool
    1854       164550 : _bt_tuple_before_array_skeys(IndexScanDesc scan, ScanDirection dir,
    1855              :                              IndexTuple tuple, TupleDesc tupdesc, int tupnatts,
    1856              :                              bool readpagetup, int sktrig, bool *scanBehind)
    1857              : {
    1858       164550 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1859              : 
    1860              :     Assert(so->numArrayKeys);
    1861              :     Assert(so->numberOfKeys);
    1862              :     Assert(sktrig == 0 || readpagetup);
    1863              :     Assert(!readpagetup || scanBehind == NULL);
    1864              : 
    1865       164550 :     if (scanBehind)
    1866        42393 :         *scanBehind = false;
    1867              : 
    1868       166216 :     for (int ikey = sktrig; ikey < so->numberOfKeys; ikey++)
    1869              :     {
    1870       165822 :         ScanKey     cur = so->keyData + ikey;
    1871              :         Datum       tupdatum;
    1872              :         bool        tupnull;
    1873              :         int32       result;
    1874              : 
    1875              :         /* readpagetup calls require one ORDER proc comparison (at most) */
    1876              :         Assert(!readpagetup || ikey == sktrig);
    1877              : 
    1878              :         /*
    1879              :          * Once we reach a non-required scan key, we're completely done.
    1880              :          *
    1881              :          * Note: we deliberately don't consider the scan direction here.
    1882              :          * _bt_advance_array_keys caller requires that we track *scanBehind
    1883              :          * without concern for scan direction.
    1884              :          */
    1885       165822 :         if ((cur->sk_flags & (SK_BT_REQFWD | SK_BT_REQBKWD)) == 0)
    1886              :         {
    1887              :             Assert(!readpagetup);
    1888              :             Assert(ikey > sktrig || ikey == 0);
    1889       164156 :             return false;
    1890              :         }
    1891              : 
    1892       165822 :         if (cur->sk_attno > tupnatts)
    1893              :         {
    1894              :             Assert(!readpagetup);
    1895              : 
    1896              :             /*
    1897              :              * When we reach a high key's truncated attribute, assume that the
    1898              :              * tuple attribute's value is >= the scan's equality constraint
    1899              :              * scan keys (but set *scanBehind to let interested callers know
    1900              :              * that a truncated attribute might have affected our answer).
    1901              :              */
    1902           20 :             if (scanBehind)
    1903           20 :                 *scanBehind = true;
    1904              : 
    1905           20 :             return false;
    1906              :         }
    1907              : 
    1908              :         /*
    1909              :          * Deal with inequality strategy scan keys that _bt_check_compare set
    1910              :          * continuescan=false for
    1911              :          */
    1912       165802 :         if (cur->sk_strategy != BTEqualStrategyNumber)
    1913              :         {
    1914              :             /*
    1915              :              * When _bt_check_compare indicated that a required inequality
    1916              :              * scan key wasn't satisfied, there's no need to verify anything;
    1917              :              * caller always calls _bt_advance_array_keys with this sktrig.
    1918              :              */
    1919          316 :             if (readpagetup)
    1920          174 :                 return false;
    1921              : 
    1922              :             /*
    1923              :              * Otherwise we can't give up, since we must check all required
    1924              :              * scan keys (required in either direction) in order to correctly
    1925              :              * track *scanBehind for caller
    1926              :              */
    1927          142 :             continue;
    1928              :         }
    1929              : 
    1930       165486 :         tupdatum = index_getattr(tuple, cur->sk_attno, tupdesc, &tupnull);
    1931              : 
    1932       165486 :         if (likely(!(cur->sk_flags & (SK_BT_MINVAL | SK_BT_MAXVAL))))
    1933              :         {
    1934              :             /* Scankey has a valid/comparable sk_argument value */
    1935       162781 :             result = _bt_compare_array_skey(&so->orderProcs[ikey],
    1936              :                                             tupdatum, tupnull,
    1937              :                                             cur->sk_argument, cur);
    1938              : 
    1939       162781 :             if (result == 0)
    1940              :             {
    1941              :                 /*
    1942              :                  * Interpret result in a way that takes NEXT/PRIOR into
    1943              :                  * account
    1944              :                  */
    1945         8647 :                 if (cur->sk_flags & SK_BT_NEXT)
    1946         7108 :                     result = -1;
    1947         1539 :                 else if (cur->sk_flags & SK_BT_PRIOR)
    1948           15 :                     result = 1;
    1949              : 
    1950              :                 Assert(result == 0 || (cur->sk_flags & SK_BT_SKIP));
    1951              :             }
    1952              :         }
    1953              :         else
    1954              :         {
    1955         2705 :             BTArrayKeyInfo *array = NULL;
    1956              : 
    1957              :             /*
    1958              :              * Current array element/array = scan key value is a sentinel
    1959              :              * value that represents the lowest (or highest) possible value
    1960              :              * that's still within the range of the array.
    1961              :              *
    1962              :              * Like _bt_first, we only see MINVAL keys during forwards scans
    1963              :              * (and similarly only see MAXVAL keys during backwards scans).
    1964              :              * Even if the scan's direction changes, we'll stop at some higher
    1965              :              * order key before we can ever reach any MAXVAL (or MINVAL) keys.
    1966              :              * (However, unlike _bt_first we _can_ get to keys marked either
    1967              :              * NEXT or PRIOR, regardless of the scan's current direction.)
    1968              :              */
    1969              :             Assert(ScanDirectionIsForward(dir) ?
    1970              :                    !(cur->sk_flags & SK_BT_MAXVAL) :
    1971              :                    !(cur->sk_flags & SK_BT_MINVAL));
    1972              : 
    1973              :             /*
    1974              :              * There are no valid sk_argument values in MINVAL/MAXVAL keys.
    1975              :              * Check if tupdatum is within the range of skip array instead.
    1976              :              */
    1977         2951 :             for (int arrayidx = 0; arrayidx < so->numArrayKeys; arrayidx++)
    1978              :             {
    1979         2951 :                 array = &so->arrayKeys[arrayidx];
    1980         2951 :                 if (array->scan_key == ikey)
    1981         2705 :                     break;
    1982              :             }
    1983              : 
    1984         2705 :             _bt_binsrch_skiparray_skey(false, dir, tupdatum, tupnull,
    1985              :                                        array, cur, &result);
    1986              : 
    1987         2705 :             if (result == 0)
    1988              :             {
    1989              :                 /*
    1990              :                  * tupdatum satisfies both low_compare and high_compare, so
    1991              :                  * it's time to advance the array keys.
    1992              :                  *
    1993              :                  * Note: It's possible that the skip array will "advance" from
    1994              :                  * its MINVAL (or MAXVAL) representation to an alternative,
    1995              :                  * logically equivalent representation of the same value: a
    1996              :                  * representation where the = key gets a valid datum in its
    1997              :                  * sk_argument.  This is only possible when low_compare uses
    1998              :                  * the >= strategy (or high_compare uses the <= strategy).
    1999              :                  */
    2000         2701 :                 return false;
    2001              :             }
    2002              :         }
    2003              : 
    2004              :         /*
    2005              :          * Does this comparison indicate that caller must _not_ advance the
    2006              :          * scan's arrays just yet?
    2007              :          */
    2008       162785 :         if ((ScanDirectionIsForward(dir) && result < 0) ||
    2009         1626 :             (ScanDirectionIsBackward(dir) && result > 0))
    2010        31801 :             return true;
    2011              : 
    2012              :         /*
    2013              :          * Does this comparison indicate that caller should now advance the
    2014              :          * scan's arrays?  (Must be if we get here during a readpagetup call.)
    2015              :          */
    2016       130984 :         if (readpagetup || result != 0)
    2017              :         {
    2018              :             Assert(result != 0);
    2019       129460 :             return false;
    2020              :         }
    2021              : 
    2022              :         /*
    2023              :          * Inconclusive -- need to check later scan keys, too.
    2024              :          *
    2025              :          * This must be a finaltup precheck, or a call made from an assertion.
    2026              :          */
    2027              :         Assert(result == 0);
    2028              :     }
    2029              : 
    2030              :     Assert(!readpagetup);
    2031              : 
    2032          394 :     return false;
    2033              : }
    2034              : 
    2035              : /*
    2036              :  * Determine if a scan with array keys should skip over uninteresting tuples.
    2037              :  *
    2038              :  * This is a subroutine for _bt_checkkeys, called when _bt_readpage's linear
    2039              :  * search process has scanned an excessive number of tuples whose key space is
    2040              :  * "between arrays".  (The linear search process is started after _bt_readpage
    2041              :  * finishes reading an initial group of matching tuples.  It locates the start
    2042              :  * of the first group of tuples matching the next set of required array keys.)
    2043              :  *
    2044              :  * When look ahead is successful, we set pstate.skip which
    2045              :  * instructs _bt_readpage to skip ahead to that tuple next (could be past the
    2046              :  * end of the scan's leaf page).  Pages where the optimization is effective
    2047              :  * will generally still need to skip several times.  Each call here performs
    2048              :  * only a single "look ahead" comparison of a later tuple, whose distance from
    2049              :  * the current tuple is determined by heuristics.
    2050              :  */
    2051              : static void
    2052         5961 : _bt_checkkeys_look_ahead(IndexScanDesc scan, BTReadPageState *pstate,
    2053              :                          int tupnatts, TupleDesc tupdesc)
    2054              : {
    2055         5961 :     ScanDirection dir = pstate->dir;
    2056              :     OffsetNumber aheadoffnum;
    2057              :     IndexTuple  ahead;
    2058              : 
    2059              :     Assert(!pstate->forcenonrequired);
    2060              : 
    2061              :     /* Avoid looking ahead when comparing the page high key */
    2062         5961 :     if (pstate->offnum < pstate->minoff)
    2063            0 :         return;
    2064              : 
    2065              :     /*
    2066              :      * Don't look ahead when there aren't enough tuples remaining on the page
    2067              :      * (in the current scan direction) for it to be worth our while
    2068              :      */
    2069         5961 :     if (ScanDirectionIsForward(dir) &&
    2070         5922 :         pstate->offnum >= pstate->maxoff - LOOK_AHEAD_DEFAULT_DISTANCE)
    2071          185 :         return;
    2072         5776 :     else if (ScanDirectionIsBackward(dir) &&
    2073           39 :              pstate->offnum <= pstate->minoff + LOOK_AHEAD_DEFAULT_DISTANCE)
    2074           12 :         return;
    2075              : 
    2076              :     /*
    2077              :      * The look ahead distance starts small, and ramps up as each call here
    2078              :      * allows _bt_readpage to skip over more tuples
    2079              :      */
    2080         5764 :     if (!pstate->targetdistance)
    2081         3307 :         pstate->targetdistance = LOOK_AHEAD_DEFAULT_DISTANCE;
    2082         2457 :     else if (pstate->targetdistance < MaxIndexTuplesPerPage / 2)
    2083         2457 :         pstate->targetdistance *= 2;
    2084              : 
    2085              :     /* Don't read past the end (or before the start) of the page, though */
    2086         5764 :     if (ScanDirectionIsForward(dir))
    2087         5737 :         aheadoffnum = Min((int) pstate->maxoff,
    2088              :                           (int) pstate->offnum + pstate->targetdistance);
    2089              :     else
    2090           27 :         aheadoffnum = Max((int) pstate->minoff,
    2091              :                           (int) pstate->offnum - pstate->targetdistance);
    2092              : 
    2093         5764 :     ahead = (IndexTuple) PageGetItem(pstate->page,
    2094         5764 :                                      PageGetItemId(pstate->page, aheadoffnum));
    2095         5764 :     if (_bt_tuple_before_array_skeys(scan, dir, ahead, tupdesc, tupnatts,
    2096              :                                      false, 0, NULL))
    2097              :     {
    2098              :         /*
    2099              :          * Success -- instruct _bt_readpage to skip ahead to very next tuple
    2100              :          * after the one we determined was still before the current array keys
    2101              :          */
    2102         2060 :         if (ScanDirectionIsForward(dir))
    2103         2042 :             pstate->skip = aheadoffnum + 1;
    2104              :         else
    2105           18 :             pstate->skip = aheadoffnum - 1;
    2106              :     }
    2107              :     else
    2108              :     {
    2109              :         /*
    2110              :          * Failure -- "ahead" tuple is too far ahead (we were too aggressive).
    2111              :          *
    2112              :          * Reset the number of rechecks, and aggressively reduce the target
    2113              :          * distance (we're much more aggressive here than we were when the
    2114              :          * distance was initially ramped up).
    2115              :          */
    2116         3704 :         pstate->rechecks = 0;
    2117         3704 :         pstate->targetdistance = Max(pstate->targetdistance / 8, 1);
    2118              :     }
    2119              : }
    2120              : 
    2121              : /*
    2122              :  * _bt_advance_array_keys() -- Advance array elements using a tuple
    2123              :  *
    2124              :  * The scan always gets a new qual as a consequence of calling here (except
    2125              :  * when we determine that the top-level scan has run out of matching tuples).
    2126              :  * All later _bt_check_compare calls also use the same new qual that was first
    2127              :  * used here (at least until the next call here advances the keys once again).
    2128              :  * It's convenient to structure _bt_check_compare rechecks of caller's tuple
    2129              :  * (using the new qual) as one the steps of advancing the scan's array keys,
    2130              :  * so this function works as a wrapper around _bt_check_compare.
    2131              :  *
    2132              :  * Like _bt_check_compare, we'll set pstate.continuescan on behalf of the
    2133              :  * caller, and return a boolean indicating if caller's tuple satisfies the
    2134              :  * scan's new qual.  But unlike _bt_check_compare, we set so->needPrimScan
    2135              :  * when we set continuescan=false, indicating if a new primitive index scan
    2136              :  * has been scheduled (otherwise, the top-level scan has run out of tuples in
    2137              :  * the current scan direction).
    2138              :  *
    2139              :  * Caller must use _bt_tuple_before_array_skeys to determine if the current
    2140              :  * place in the scan is >= the current array keys _before_ calling here.
    2141              :  * We're responsible for ensuring that caller's tuple is <= the newly advanced
    2142              :  * required array keys once we return.  We try to find an exact match, but
    2143              :  * failing that we'll advance the array keys to whatever set of array elements
    2144              :  * comes next in the key space for the current scan direction.  Required array
    2145              :  * keys "ratchet forwards" (or backwards).  They can only advance as the scan
    2146              :  * itself advances through the index/key space.
    2147              :  *
    2148              :  * (The rules are the same for backwards scans, except that the operators are
    2149              :  * flipped: just replace the precondition's >= operator with a <=, and the
    2150              :  * postcondition's <= operator with a >=.  In other words, just swap the
    2151              :  * precondition with the postcondition.)
    2152              :  *
    2153              :  * We also deal with "advancing" non-required arrays here (or arrays that are
    2154              :  * treated as non-required for the duration of a _bt_readpage call).  Callers
    2155              :  * whose sktrig scan key is non-required specify sktrig_required=false.  These
    2156              :  * calls are the only exception to the general rule about always advancing the
    2157              :  * required array keys (the scan may not even have a required array).  These
    2158              :  * callers should just pass a NULL pstate (since there is never any question
    2159              :  * of stopping the scan).  No call to _bt_tuple_before_array_skeys is required
    2160              :  * ahead of these calls (it's already clear that any required scan keys must
    2161              :  * be satisfied by caller's tuple).
    2162              :  *
    2163              :  * Note that we deal with non-array required equality strategy scan keys as
    2164              :  * degenerate single element arrays here.  Obviously, they can never really
    2165              :  * advance in the way that real arrays can, but they must still affect how we
    2166              :  * advance real array scan keys (exactly like true array equality scan keys).
    2167              :  * We have to keep around a 3-way ORDER proc for these (using the "=" operator
    2168              :  * won't do), since in general whether the tuple is < or > _any_ unsatisfied
    2169              :  * required equality key influences how the scan's real arrays must advance.
    2170              :  *
    2171              :  * Note also that we may sometimes need to advance the array keys when the
    2172              :  * existing required array keys (and other required equality keys) are already
    2173              :  * an exact match for every corresponding value from caller's tuple.  We must
    2174              :  * do this for inequalities that _bt_check_compare set continuescan=false for.
    2175              :  * They'll advance the array keys here, just like any other scan key that
    2176              :  * _bt_check_compare stops on.  (This can even happen _after_ we advance the
    2177              :  * array keys, in which case we'll advance the array keys a second time.  That
    2178              :  * way _bt_checkkeys caller always has its required arrays advance to the
    2179              :  * maximum possible extent that its tuple will allow.)
    2180              :  */
    2181              : static bool
    2182       100586 : _bt_advance_array_keys(IndexScanDesc scan, BTReadPageState *pstate,
    2183              :                        IndexTuple tuple, int tupnatts, TupleDesc tupdesc,
    2184              :                        int sktrig, bool sktrig_required)
    2185              : {
    2186       100586 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    2187       100586 :     Relation    rel = scan->indexRelation;
    2188       100586 :     ScanDirection dir = pstate ? pstate->dir : ForwardScanDirection;
    2189       100586 :     int         arrayidx = 0;
    2190       100586 :     bool        beyond_end_advance = false,
    2191       100586 :                 skip_array_advanced = false,
    2192       100586 :                 has_required_opposite_direction_only = false,
    2193       100586 :                 all_required_satisfied = true,
    2194       100586 :                 all_satisfied = true;
    2195              : 
    2196              :     Assert(!so->needPrimScan && !so->scanBehind && !so->oppositeDirCheck);
    2197              :     Assert(_bt_verify_keys_with_arraykeys(scan));
    2198              : 
    2199       100586 :     if (sktrig_required)
    2200              :     {
    2201              :         /*
    2202              :          * Precondition array state assertion
    2203              :          */
    2204              :         Assert(!_bt_tuple_before_array_skeys(scan, dir, tuple, tupdesc,
    2205              :                                              tupnatts, false, 0, NULL));
    2206              : 
    2207              :         /*
    2208              :          * Once we return we'll have a new set of required array keys, so
    2209              :          * reset state used by "look ahead" optimization
    2210              :          */
    2211        95729 :         pstate->rechecks = 0;
    2212        95729 :         pstate->targetdistance = 0;
    2213              :     }
    2214         4857 :     else if (sktrig < so->numberOfKeys - 1 &&
    2215         4857 :              !(so->keyData[so->numberOfKeys - 1].sk_flags & SK_SEARCHARRAY))
    2216              :     {
    2217         4857 :         int         least_sign_ikey = so->numberOfKeys - 1;
    2218              :         bool        continuescan;
    2219              : 
    2220              :         /*
    2221              :          * Optimization: perform a precheck of the least significant key
    2222              :          * during !sktrig_required calls when it isn't already our sktrig
    2223              :          * (provided the precheck key is not itself an array).
    2224              :          *
    2225              :          * When the precheck works out we'll avoid an expensive binary search
    2226              :          * of sktrig's array (plus any other arrays before least_sign_ikey).
    2227              :          */
    2228              :         Assert(so->keyData[sktrig].sk_flags & SK_SEARCHARRAY);
    2229         4857 :         if (!_bt_check_compare(scan, dir, tuple, tupnatts, tupdesc, false,
    2230              :                                false, &continuescan,
    2231              :                                &least_sign_ikey))
    2232         1270 :             return false;
    2233              :     }
    2234              : 
    2235       290985 :     for (int ikey = 0; ikey < so->numberOfKeys; ikey++)
    2236              :     {
    2237       194988 :         ScanKey     cur = so->keyData + ikey;
    2238       194988 :         BTArrayKeyInfo *array = NULL;
    2239              :         Datum       tupdatum;
    2240       194988 :         bool        required = false,
    2241              :                     tupnull;
    2242              :         int32       result;
    2243       194988 :         int         set_elem = 0;
    2244              : 
    2245       194988 :         if (cur->sk_strategy == BTEqualStrategyNumber)
    2246              :         {
    2247              :             /* Manage array state */
    2248       170912 :             if (cur->sk_flags & SK_SEARCHARRAY)
    2249              :             {
    2250       105001 :                 array = &so->arrayKeys[arrayidx++];
    2251              :                 Assert(array->scan_key == ikey);
    2252              :             }
    2253              :         }
    2254              :         else
    2255              :         {
    2256              :             /*
    2257              :              * Are any inequalities required in the opposite direction only
    2258              :              * present here?
    2259              :              */
    2260        24076 :             if (((ScanDirectionIsForward(dir) &&
    2261        24076 :                   (cur->sk_flags & (SK_BT_REQBKWD))) ||
    2262            0 :                  (ScanDirectionIsBackward(dir) &&
    2263            0 :                   (cur->sk_flags & (SK_BT_REQFWD)))))
    2264         7804 :                 has_required_opposite_direction_only = true;
    2265              :         }
    2266              : 
    2267              :         /* Optimization: skip over known-satisfied scan keys */
    2268       194988 :         if (ikey < sktrig)
    2269        38646 :             continue;
    2270              : 
    2271       186577 :         if (cur->sk_flags & (SK_BT_REQFWD | SK_BT_REQBKWD))
    2272              :         {
    2273       186577 :             required = true;
    2274              : 
    2275       186577 :             if (cur->sk_attno > tupnatts)
    2276              :             {
    2277              :                 /* Set this just like _bt_tuple_before_array_skeys */
    2278              :                 Assert(sktrig < ikey);
    2279         1186 :                 so->scanBehind = true;
    2280              :             }
    2281              :         }
    2282              : 
    2283              :         /*
    2284              :          * Handle a required non-array scan key that the initial call to
    2285              :          * _bt_check_compare indicated triggered array advancement, if any.
    2286              :          *
    2287              :          * The non-array scan key's strategy will be <, <=, or = during a
    2288              :          * forwards scan (or any one of =, >=, or > during a backwards scan).
    2289              :          * It follows that the corresponding tuple attribute's value must now
    2290              :          * be either > or >= the scan key value (for backwards scans it must
    2291              :          * be either < or <= that value).
    2292              :          *
    2293              :          * If this is a required equality strategy scan key, this is just an
    2294              :          * optimization; _bt_tuple_before_array_skeys already confirmed that
    2295              :          * this scan key places us ahead of caller's tuple.  There's no need
    2296              :          * to repeat that work now.  (The same underlying principle also gets
    2297              :          * applied by the cur_elem_trig optimization used to speed up searches
    2298              :          * for the next array element.)
    2299              :          *
    2300              :          * If this is a required inequality strategy scan key, we _must_ rely
    2301              :          * on _bt_check_compare like this; we aren't capable of directly
    2302              :          * evaluating required inequality strategy scan keys here, on our own.
    2303              :          */
    2304       186577 :         if (ikey == sktrig && !array)
    2305              :         {
    2306              :             Assert(sktrig_required && required && all_required_satisfied);
    2307              : 
    2308              :             /* Use "beyond end" advancement.  See below for an explanation. */
    2309         3853 :             beyond_end_advance = true;
    2310         3853 :             all_satisfied = all_required_satisfied = false;
    2311              : 
    2312         3853 :             continue;
    2313              :         }
    2314              : 
    2315              :         /*
    2316              :          * Nothing more for us to do with an inequality strategy scan key that
    2317              :          * wasn't the one that _bt_check_compare stopped on, though.
    2318              :          *
    2319              :          * Note: if our later call to _bt_check_compare (to recheck caller's
    2320              :          * tuple) sets continuescan=false due to finding this same inequality
    2321              :          * unsatisfied (possible when it's required in the scan direction),
    2322              :          * we'll deal with it via a recursive "second pass" call.
    2323              :          */
    2324       182724 :         else if (cur->sk_strategy != BTEqualStrategyNumber)
    2325        23791 :             continue;
    2326              : 
    2327              :         /*
    2328              :          * Nothing for us to do with an equality strategy scan key that isn't
    2329              :          * marked required, either -- unless it's a non-required array
    2330              :          */
    2331       158933 :         else if (!required && !array)
    2332            0 :             continue;
    2333              : 
    2334              :         /*
    2335              :          * Here we perform steps for all array scan keys after a required
    2336              :          * array scan key whose binary search triggered "beyond end of array
    2337              :          * element" array advancement due to encountering a tuple attribute
    2338              :          * value > the closest matching array key (or < for backwards scans).
    2339              :          */
    2340       158933 :         if (beyond_end_advance)
    2341              :         {
    2342          891 :             if (array)
    2343          507 :                 _bt_array_set_low_or_high(rel, cur, array,
    2344              :                                           ScanDirectionIsBackward(dir));
    2345              : 
    2346          891 :             continue;
    2347              :         }
    2348              : 
    2349              :         /*
    2350              :          * Here we perform steps for all array scan keys after a required
    2351              :          * array scan key whose tuple attribute was < the closest matching
    2352              :          * array key when we dealt with it (or > for backwards scans).
    2353              :          *
    2354              :          * This earlier required array key already puts us ahead of caller's
    2355              :          * tuple in the key space (for the current scan direction).  We must
    2356              :          * make sure that subsequent lower-order array keys do not put us too
    2357              :          * far ahead (ahead of tuples that have yet to be seen by our caller).
    2358              :          * For example, when a tuple "(a, b) = (42, 5)" advances the array
    2359              :          * keys on "a" from 40 to 45, we must also set "b" to whatever the
    2360              :          * first array element for "b" is.  It would be wrong to allow "b" to
    2361              :          * be set based on the tuple value.
    2362              :          *
    2363              :          * Perform the same steps with truncated high key attributes.  You can
    2364              :          * think of this as a "binary search" for the element closest to the
    2365              :          * value -inf.  Again, the arrays must never get ahead of the scan.
    2366              :          */
    2367       158042 :         if (!all_required_satisfied || cur->sk_attno > tupnatts)
    2368              :         {
    2369         1700 :             if (array)
    2370          386 :                 _bt_array_set_low_or_high(rel, cur, array,
    2371              :                                           ScanDirectionIsForward(dir));
    2372              : 
    2373         1700 :             continue;
    2374              :         }
    2375              : 
    2376              :         /*
    2377              :          * Search in scankey's array for the corresponding tuple attribute
    2378              :          * value from caller's tuple
    2379              :          */
    2380       156342 :         tupdatum = index_getattr(tuple, cur->sk_attno, tupdesc, &tupnull);
    2381              : 
    2382       156342 :         if (array)
    2383              :         {
    2384        96535 :             bool        cur_elem_trig = (sktrig_required && ikey == sktrig);
    2385              : 
    2386              :             /*
    2387              :              * "Binary search" by checking if tupdatum/tupnull are within the
    2388              :              * range of the skip array
    2389              :              */
    2390        96535 :             if (array->num_elems == -1)
    2391        80000 :                 _bt_binsrch_skiparray_skey(cur_elem_trig, dir,
    2392              :                                            tupdatum, tupnull, array, cur,
    2393              :                                            &result);
    2394              : 
    2395              :             /*
    2396              :              * Binary search for the closest match from the SAOP array
    2397              :              */
    2398              :             else
    2399        16535 :                 set_elem = _bt_binsrch_array_skey(&so->orderProcs[ikey],
    2400              :                                                   cur_elem_trig, dir,
    2401              :                                                   tupdatum, tupnull, array, cur,
    2402              :                                                   &result);
    2403              :         }
    2404              :         else
    2405              :         {
    2406              :             Assert(required);
    2407              : 
    2408              :             /*
    2409              :              * This is a required non-array equality strategy scan key, which
    2410              :              * we'll treat as a degenerate single element array.
    2411              :              *
    2412              :              * This scan key's imaginary "array" can't really advance, but it
    2413              :              * can still roll over like any other array.  (Actually, this is
    2414              :              * no different to real single value arrays, which never advance
    2415              :              * without rolling over -- they can never truly advance, either.)
    2416              :              */
    2417        59807 :             result = _bt_compare_array_skey(&so->orderProcs[ikey],
    2418              :                                             tupdatum, tupnull,
    2419              :                                             cur->sk_argument, cur);
    2420              :         }
    2421              : 
    2422              :         /*
    2423              :          * Consider "beyond end of array element" array advancement.
    2424              :          *
    2425              :          * When the tuple attribute value is > the closest matching array key
    2426              :          * (or < in the backwards scan case), we need to ratchet this array
    2427              :          * forward (backward) by one increment, so that caller's tuple ends up
    2428              :          * being < final array value instead (or > final array value instead).
    2429              :          * This process has to work for all of the arrays, not just this one:
    2430              :          * it must "carry" to higher-order arrays when the set_elem that we
    2431              :          * just found happens to be the final one for the scan's direction.
    2432              :          * Incrementing (decrementing) set_elem itself isn't good enough.
    2433              :          *
    2434              :          * Our approach is to provisionally use set_elem as if it was an exact
    2435              :          * match now, then set each later/less significant array to whatever
    2436              :          * its final element is.  Once outside the loop we'll then "increment
    2437              :          * this array's set_elem" by calling _bt_advance_array_keys_increment.
    2438              :          * That way the process rolls over to higher order arrays as needed.
    2439              :          *
    2440              :          * Under this scheme any required arrays only ever ratchet forwards
    2441              :          * (or backwards), and always do so to the maximum possible extent
    2442              :          * that we can know will be safe without seeing the scan's next tuple.
    2443              :          * We don't need any special handling for required scan keys that lack
    2444              :          * a real array to advance, nor for redundant scan keys that couldn't
    2445              :          * be eliminated by _bt_preprocess_keys.  It won't matter if some of
    2446              :          * our "true" array scan keys (or even all of them) are non-required.
    2447              :          */
    2448       156342 :         if (sktrig_required && required &&
    2449       152748 :             ((ScanDirectionIsForward(dir) && result > 0) ||
    2450          858 :              (ScanDirectionIsBackward(dir) && result < 0)))
    2451        11862 :             beyond_end_advance = true;
    2452              : 
    2453              :         Assert(all_required_satisfied && all_satisfied);
    2454       156342 :         if (result != 0)
    2455              :         {
    2456              :             /*
    2457              :              * Track whether caller's tuple satisfies our new post-advancement
    2458              :              * qual, for required scan keys, as well as for the entire set of
    2459              :              * interesting scan keys (all required scan keys plus non-required
    2460              :              * array scan keys are considered interesting.)
    2461              :              */
    2462        71844 :             all_satisfied = false;
    2463        71844 :             if (sktrig_required && required)
    2464        68525 :                 all_required_satisfied = false;
    2465              :             else
    2466              :             {
    2467              :                 /*
    2468              :                  * There's no need to advance the arrays using the best
    2469              :                  * available match for a non-required array.  Give up now.
    2470              :                  * (Though note that sktrig_required calls still have to do
    2471              :                  * all the usual post-advancement steps, including the recheck
    2472              :                  * call to _bt_check_compare.)
    2473              :                  */
    2474              :                 break;
    2475              :             }
    2476              :         }
    2477              : 
    2478              :         /* Advance array keys, even when we don't have an exact match */
    2479       153023 :         if (array)
    2480              :         {
    2481        93216 :             if (array->num_elems == -1)
    2482              :             {
    2483              :                 /* Skip array's new element is tupdatum (or MINVAL/MAXVAL) */
    2484        77117 :                 _bt_skiparray_set_element(rel, cur, array, result,
    2485              :                                           tupdatum, tupnull);
    2486        77117 :                 skip_array_advanced = true;
    2487              :             }
    2488        16099 :             else if (array->cur_elem != set_elem)
    2489              :             {
    2490              :                 /* SAOP array's new element is set_elem datum */
    2491        12011 :                 array->cur_elem = set_elem;
    2492        12011 :                 cur->sk_argument = array->elem_values[set_elem];
    2493              :             }
    2494              :         }
    2495              :     }
    2496              : 
    2497              :     /*
    2498              :      * Advance the array keys incrementally whenever "beyond end of array
    2499              :      * element" array advancement happens, so that advancement will carry to
    2500              :      * higher-order arrays (might exhaust all the scan's arrays instead, which
    2501              :      * ends the top-level scan).
    2502              :      */
    2503        99316 :     if (beyond_end_advance &&
    2504        15715 :         !_bt_advance_array_keys_increment(scan, dir, &skip_array_advanced))
    2505         4256 :         goto end_toplevel_scan;
    2506              : 
    2507              :     Assert(_bt_verify_keys_with_arraykeys(scan));
    2508              : 
    2509              :     /*
    2510              :      * Maintain a page-level count of the number of times the scan's array
    2511              :      * keys advanced in a way that affected at least one skip array
    2512              :      */
    2513        95060 :     if (sktrig_required && skip_array_advanced)
    2514        79964 :         pstate->nskipadvances++;
    2515              : 
    2516              :     /*
    2517              :      * Does tuple now satisfy our new qual?  Recheck with _bt_check_compare.
    2518              :      *
    2519              :      * Calls triggered by an unsatisfied required scan key, whose tuple now
    2520              :      * satisfies all required scan keys, but not all nonrequired array keys,
    2521              :      * will still require a recheck call to _bt_check_compare.  They'll still
    2522              :      * need its "second pass" handling of required inequality scan keys.
    2523              :      * (Might have missed a still-unsatisfied required inequality scan key
    2524              :      * that caller didn't detect as the sktrig scan key during its initial
    2525              :      * _bt_check_compare call that used the old/original qual.)
    2526              :      *
    2527              :      * Calls triggered by an unsatisfied nonrequired array scan key never need
    2528              :      * "second pass" handling of required inequalities (nor any other handling
    2529              :      * of any required scan key).  All that matters is whether caller's tuple
    2530              :      * satisfies the new qual, so it's safe to just skip the _bt_check_compare
    2531              :      * recheck when we've already determined that it can only return 'false'.
    2532              :      *
    2533              :      * Note: In practice most scan keys are marked required by preprocessing,
    2534              :      * if necessary by generating a preceding skip array.  We nevertheless
    2535              :      * often handle array keys marked required as if they were nonrequired.
    2536              :      * This behavior is requested by our _bt_check_compare caller, though only
    2537              :      * when it is passed "forcenonrequired=true" by _bt_checkkeys.
    2538              :      */
    2539        95060 :     if ((sktrig_required && all_required_satisfied) ||
    2540        71709 :         (!sktrig_required && all_satisfied))
    2541              :     {
    2542        23619 :         int         nsktrig = sktrig + 1;
    2543              :         bool        continuescan;
    2544              : 
    2545              :         Assert(all_required_satisfied);
    2546              : 
    2547              :         /* Recheck _bt_check_compare on behalf of caller */
    2548        23619 :         if (_bt_check_compare(scan, dir, tuple, tupnatts, tupdesc, false,
    2549              :                               !sktrig_required, &continuescan,
    2550        23619 :                               &nsktrig) &&
    2551        19785 :             !so->scanBehind)
    2552              :         {
    2553              :             /* This tuple satisfies the new qual */
    2554              :             Assert(all_satisfied && continuescan);
    2555              : 
    2556        18665 :             if (pstate)
    2557        18397 :                 pstate->continuescan = true;
    2558              : 
    2559        18776 :             return true;
    2560              :         }
    2561              : 
    2562              :         /*
    2563              :          * Consider "second pass" handling of required inequalities.
    2564              :          *
    2565              :          * It's possible that our _bt_check_compare call indicated that the
    2566              :          * scan should end due to some unsatisfied inequality that wasn't
    2567              :          * initially recognized as such by us.  Handle this by calling
    2568              :          * ourselves recursively, this time indicating that the trigger is the
    2569              :          * inequality that we missed first time around (and using a set of
    2570              :          * required array/equality keys that are now exact matches for tuple).
    2571              :          *
    2572              :          * We make a strong, general guarantee that every _bt_checkkeys call
    2573              :          * here will advance the array keys to the maximum possible extent
    2574              :          * that we can know to be safe based on caller's tuple alone.  If we
    2575              :          * didn't perform this step, then that guarantee wouldn't quite hold.
    2576              :          */
    2577         4954 :         if (unlikely(!continuescan))
    2578              :         {
    2579              :             bool        satisfied PG_USED_FOR_ASSERTS_ONLY;
    2580              : 
    2581              :             Assert(sktrig_required);
    2582              :             Assert(so->keyData[nsktrig].sk_strategy != BTEqualStrategyNumber);
    2583              : 
    2584              :             /*
    2585              :              * The tuple must use "beyond end" advancement during the
    2586              :              * recursive call, so we cannot possibly end up back here when
    2587              :              * recursing.  We'll consume a small, fixed amount of stack space.
    2588              :              */
    2589              :             Assert(!beyond_end_advance);
    2590              : 
    2591              :             /* Advance the array keys a second time using same tuple */
    2592          111 :             satisfied = _bt_advance_array_keys(scan, pstate, tuple, tupnatts,
    2593              :                                                tupdesc, nsktrig, true);
    2594              : 
    2595              :             /* This tuple doesn't satisfy the inequality */
    2596              :             Assert(!satisfied);
    2597          111 :             return false;
    2598              :         }
    2599              : 
    2600              :         /*
    2601              :          * Some non-required scan key (from new qual) still not satisfied.
    2602              :          *
    2603              :          * All scan keys required in the current scan direction must still be
    2604              :          * satisfied, though, so we can trust all_required_satisfied below.
    2605              :          */
    2606              :     }
    2607              : 
    2608              :     /*
    2609              :      * When we were called just to deal with "advancing" non-required arrays,
    2610              :      * this is as far as we can go (cannot stop the scan for these callers)
    2611              :      */
    2612        76284 :     if (!sktrig_required)
    2613              :     {
    2614              :         /* Caller's tuple doesn't match any qual */
    2615         3319 :         return false;
    2616              :     }
    2617              : 
    2618              :     /*
    2619              :      * Postcondition array state assertion (for still-unsatisfied tuples).
    2620              :      *
    2621              :      * By here we have established that the scan's required arrays (scan must
    2622              :      * have at least one required array) advanced, without becoming exhausted.
    2623              :      *
    2624              :      * Caller's tuple is now < the newly advanced array keys (or > when this
    2625              :      * is a backwards scan), except in the case where we only got this far due
    2626              :      * to an unsatisfied non-required scan key.  Verify that with an assert.
    2627              :      *
    2628              :      * Note: we don't just quit at this point when all required scan keys were
    2629              :      * found to be satisfied because we need to consider edge-cases involving
    2630              :      * scan keys required in the opposite direction only; those aren't tracked
    2631              :      * by all_required_satisfied.
    2632              :      */
    2633              :     Assert(_bt_tuple_before_array_skeys(scan, dir, tuple, tupdesc, tupnatts,
    2634              :                                         false, 0, NULL) ==
    2635              :            !all_required_satisfied);
    2636              : 
    2637              :     /*
    2638              :      * We generally permit primitive index scans to continue onto the next
    2639              :      * sibling page when the page's finaltup satisfies all required scan keys
    2640              :      * at the point where we're between pages.
    2641              :      *
    2642              :      * If caller's tuple is also the page's finaltup, and we see that required
    2643              :      * scan keys still aren't satisfied, start a new primitive index scan.
    2644              :      */
    2645        72965 :     if (!all_required_satisfied && pstate->finaltup == tuple)
    2646          261 :         goto new_prim_scan;
    2647              : 
    2648              :     /*
    2649              :      * Proactively check finaltup (don't wait until finaltup is reached by the
    2650              :      * scan) when it might well turn out to not be satisfied later on.
    2651              :      *
    2652              :      * Note: if so->scanBehind hasn't already been set for finaltup by us,
    2653              :      * it'll be set during this call to _bt_tuple_before_array_skeys.  Either
    2654              :      * way, it'll be set correctly (for the whole page) after this point.
    2655              :      */
    2656       113775 :     if (!all_required_satisfied && pstate->finaltup &&
    2657        82142 :         _bt_tuple_before_array_skeys(scan, dir, pstate->finaltup, tupdesc,
    2658        82142 :                                      BTreeTupleGetNAtts(pstate->finaltup, rel),
    2659              :                                      false, 0, &so->scanBehind))
    2660         8757 :         goto new_prim_scan;
    2661              : 
    2662              :     /*
    2663              :      * When we encounter a truncated finaltup high key attribute, we're
    2664              :      * optimistic about the chances of its corresponding required scan key
    2665              :      * being satisfied when we go on to recheck it against tuples from this
    2666              :      * page's right sibling leaf page.  We consider truncated attributes to be
    2667              :      * satisfied by required scan keys, which allows the primitive index scan
    2668              :      * to continue to the next leaf page.  We must set so->scanBehind to true
    2669              :      * to remember that the last page's finaltup had "satisfied" required scan
    2670              :      * keys for one or more truncated attribute values (scan keys required in
    2671              :      * _either_ scan direction).
    2672              :      *
    2673              :      * There is a chance that _bt_readpage (which checks so->scanBehind) will
    2674              :      * find that even the sibling leaf page's finaltup is < the new array
    2675              :      * keys.  When that happens, our optimistic policy will have incurred a
    2676              :      * single extra leaf page access that could have been avoided.
    2677              :      *
    2678              :      * A pessimistic policy would give backward scans a gratuitous advantage
    2679              :      * over forward scans.  We'd punish forward scans for applying more
    2680              :      * accurate information from the high key, rather than just using the
    2681              :      * final non-pivot tuple as finaltup, in the style of backward scans.
    2682              :      * Being pessimistic would also give some scans with non-required arrays a
    2683              :      * perverse advantage over similar scans that use required arrays instead.
    2684              :      *
    2685              :      * This is similar to our scan-level heuristics, below.  They also set
    2686              :      * scanBehind to speculatively continue the primscan onto the next page.
    2687              :      */
    2688        63947 :     if (so->scanBehind)
    2689              :     {
    2690              :         /* Truncated high key -- _bt_scanbehind_checkkeys recheck scheduled */
    2691              :     }
    2692              : 
    2693              :     /*
    2694              :      * Handle inequalities marked required in the opposite scan direction.
    2695              :      * They can also signal that we should start a new primitive index scan.
    2696              :      *
    2697              :      * It's possible that the scan is now positioned where "matching" tuples
    2698              :      * begin, and that caller's tuple satisfies all scan keys required in the
    2699              :      * current scan direction.  But if caller's tuple still doesn't satisfy
    2700              :      * other scan keys that are required in the opposite scan direction only
    2701              :      * (e.g., a required >= strategy scan key when scan direction is forward),
    2702              :      * it's still possible that there are many leaf pages before the page that
    2703              :      * _bt_first could skip straight to.  Groveling through all those pages
    2704              :      * will always give correct answers, but it can be very inefficient.  We
    2705              :      * must avoid needlessly scanning extra pages.
    2706              :      *
    2707              :      * Separately, it's possible that _bt_check_compare set continuescan=false
    2708              :      * for a scan key that's required in the opposite direction only.  This is
    2709              :      * a special case, that happens only when _bt_check_compare sees that the
    2710              :      * inequality encountered a NULL value.  This signals the end of non-NULL
    2711              :      * values in the current scan direction, which is reason enough to end the
    2712              :      * (primitive) scan.  If this happens at the start of a large group of
    2713              :      * NULL values, then we shouldn't expect to be called again until after
    2714              :      * the scan has already read indefinitely-many leaf pages full of tuples
    2715              :      * with NULL suffix values.  (_bt_first is expected to skip over the group
    2716              :      * of NULLs by applying a similar "deduce NOT NULL" rule of its own, which
    2717              :      * involves consing up an explicit SK_SEARCHNOTNULL key.)
    2718              :      *
    2719              :      * Apply a test against finaltup to detect and recover from the problem:
    2720              :      * if even finaltup doesn't satisfy such an inequality, we just skip by
    2721              :      * starting a new primitive index scan.  When we skip, we know for sure
    2722              :      * that all of the tuples on the current page following caller's tuple are
    2723              :      * also before the _bt_first-wise start of tuples for our new qual.  That
    2724              :      * at least suggests many more skippable pages beyond the current page.
    2725              :      * (when so->scanBehind and so->oppositeDirCheck are set, this'll happen
    2726              :      * when we test the next page's finaltup/high key instead.)
    2727              :      */
    2728        62807 :     else if (has_required_opposite_direction_only && pstate->finaltup &&
    2729         2151 :              unlikely(!_bt_oppodir_checkkeys(scan, dir, pstate->finaltup)))
    2730            1 :         goto new_prim_scan;
    2731              : 
    2732        62806 : continue_scan:
    2733              : 
    2734              :     /*
    2735              :      * Stick with the ongoing primitive index scan for now.
    2736              :      *
    2737              :      * It's possible that later tuples will also turn out to have values that
    2738              :      * are still < the now-current array keys (or > the current array keys).
    2739              :      * Our caller will handle this by performing what amounts to a linear
    2740              :      * search of the page, implemented by calling _bt_check_compare and then
    2741              :      * _bt_tuple_before_array_skeys for each tuple.
    2742              :      *
    2743              :      * This approach has various advantages over a binary search of the page.
    2744              :      * Repeated binary searches of the page (one binary search for every array
    2745              :      * advancement) won't outperform a continuous linear search.  While there
    2746              :      * are workloads that a naive linear search won't handle well, our caller
    2747              :      * has a "look ahead" fallback mechanism to deal with that problem.
    2748              :      */
    2749        64384 :     pstate->continuescan = true; /* Override _bt_check_compare */
    2750        64384 :     so->needPrimScan = false;    /* _bt_readpage has more tuples to check */
    2751              : 
    2752        64384 :     if (so->scanBehind)
    2753              :     {
    2754              :         /*
    2755              :          * Remember if recheck needs to call _bt_oppodir_checkkeys for next
    2756              :          * page's finaltup (see above comments about "Handle inequalities
    2757              :          * marked required in the opposite scan direction" for why).
    2758              :          */
    2759         1578 :         so->oppositeDirCheck = has_required_opposite_direction_only;
    2760              : 
    2761              :         /*
    2762              :          * skip by setting "look ahead" mechanism's offnum for forwards scans
    2763              :          * (backwards scans check scanBehind flag directly instead)
    2764              :          */
    2765         1578 :         if (ScanDirectionIsForward(dir))
    2766         1569 :             pstate->skip = pstate->maxoff + 1;
    2767              :     }
    2768              : 
    2769              :     /* Caller's tuple doesn't match the new qual */
    2770        64384 :     return false;
    2771              : 
    2772         9019 : new_prim_scan:
    2773              : 
    2774              :     Assert(pstate->finaltup);    /* not on rightmost/leftmost page */
    2775              : 
    2776              :     /*
    2777              :      * Looks like another primitive index scan is required.  But consider
    2778              :      * continuing the current primscan based on scan-level heuristics.
    2779              :      *
    2780              :      * Continue the ongoing primitive scan (and schedule a recheck for when
    2781              :      * the scan arrives on the next sibling leaf page) when it has already
    2782              :      * read at least one leaf page before the one we're reading now.  This
    2783              :      * makes primscan scheduling more efficient when scanning subsets of an
    2784              :      * index with many distinct attribute values matching many array elements.
    2785              :      * It encourages fewer, larger primitive scans where that makes sense.
    2786              :      * This will in turn encourage _bt_readpage to apply the pstate.startikey
    2787              :      * optimization more often.
    2788              :      *
    2789              :      * Also continue the ongoing primitive index scan when it is still on the
    2790              :      * first page if there have been more than NSKIPADVANCES_THRESHOLD calls
    2791              :      * here that each advanced at least one of the scan's skip arrays
    2792              :      * (deliberately ignore advancements that only affected SAOP arrays here).
    2793              :      * A page that cycles through this many skip array elements is quite
    2794              :      * likely to neighbor similar pages, that we'll also need to read.
    2795              :      *
    2796              :      * Note: These heuristics aren't as aggressive as you might think.  We're
    2797              :      * conservative about allowing a primitive scan to step from the first
    2798              :      * leaf page it reads to the page's sibling page (we only allow it on
    2799              :      * first pages whose finaltup strongly suggests that it'll work out, as
    2800              :      * well as first pages that have a large number of skip array advances).
    2801              :      * Clearing this first page finaltup hurdle is a strong signal in itself.
    2802              :      *
    2803              :      * Note: The NSKIPADVANCES_THRESHOLD heuristic exists only to avoid
    2804              :      * pathological cases.  Specifically, cases where a skip scan should just
    2805              :      * behave like a traditional full index scan, but ends up "skipping" again
    2806              :      * and again, descending to the prior leaf page's direct sibling leaf page
    2807              :      * each time.  This misbehavior would otherwise be possible during scans
    2808              :      * that never quite manage to "clear the first page finaltup hurdle".
    2809              :      */
    2810         9019 :     if (!pstate->firstpage || pstate->nskipadvances > NSKIPADVANCES_THRESHOLD)
    2811              :     {
    2812              :         /* Schedule a recheck once on the next (or previous) page */
    2813          438 :         so->scanBehind = true;
    2814              : 
    2815              :         /* Continue the current primitive scan after all */
    2816          438 :         goto continue_scan;
    2817              :     }
    2818              : 
    2819              :     /*
    2820              :      * End this primitive index scan, but schedule another.
    2821              :      *
    2822              :      * Note: We make a soft assumption that the current scan direction will
    2823              :      * also be used within _bt_next, when it is asked to step off this page.
    2824              :      * It is up to _bt_next to cancel this scheduled primitive index scan
    2825              :      * whenever it steps to a page in the direction opposite currPos.dir.
    2826              :      */
    2827         8581 :     pstate->continuescan = false;    /* Tell _bt_readpage we're done... */
    2828         8581 :     so->needPrimScan = true; /* ...but call _bt_first again */
    2829              : 
    2830         8581 :     if (scan->parallel_scan)
    2831           18 :         _bt_parallel_primscan_schedule(scan, so->currPos.currPage);
    2832              : 
    2833              :     /* Caller's tuple doesn't match the new qual */
    2834         8581 :     return false;
    2835              : 
    2836         4256 : end_toplevel_scan:
    2837              : 
    2838              :     /*
    2839              :      * End the current primitive index scan, but don't schedule another.
    2840              :      *
    2841              :      * This ends the entire top-level scan in the current scan direction.
    2842              :      *
    2843              :      * Note: The scan's arrays (including any non-required arrays) are now in
    2844              :      * their final positions for the current scan direction.  If the scan
    2845              :      * direction happens to change, then the arrays will already be in their
    2846              :      * first positions for what will then be the current scan direction.
    2847              :      */
    2848         4256 :     pstate->continuescan = false;    /* Tell _bt_readpage we're done... */
    2849         4256 :     so->needPrimScan = false;    /* ...and don't call _bt_first again */
    2850              : 
    2851              :     /* Caller's tuple doesn't match any qual */
    2852         4256 :     return false;
    2853              : }
    2854              : 
    2855              : /*
    2856              :  * _bt_advance_array_keys_increment() -- Advance to next set of array elements
    2857              :  *
    2858              :  * Advances the array keys by a single increment in the current scan
    2859              :  * direction.  When there are multiple array keys this can roll over from the
    2860              :  * lowest order array to higher order arrays.
    2861              :  *
    2862              :  * Returns true if there is another set of values to consider, false if not.
    2863              :  * On true result, the scankeys are initialized with the next set of values.
    2864              :  * On false result, the scankeys stay the same, and the array keys are not
    2865              :  * advanced (every array remains at its final element for scan direction).
    2866              :  */
    2867              : static bool
    2868        15715 : _bt_advance_array_keys_increment(IndexScanDesc scan, ScanDirection dir,
    2869              :                                  bool *skip_array_set)
    2870              : {
    2871        15715 :     Relation    rel = scan->indexRelation;
    2872        15715 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    2873              : 
    2874              :     /*
    2875              :      * We must advance the last array key most quickly, since it will
    2876              :      * correspond to the lowest-order index column among the available
    2877              :      * qualifications
    2878              :      */
    2879        20675 :     for (int i = so->numArrayKeys - 1; i >= 0; i--)
    2880              :     {
    2881        16419 :         BTArrayKeyInfo *array = &so->arrayKeys[i];
    2882        16419 :         ScanKey     skey = &so->keyData[array->scan_key];
    2883              : 
    2884        16419 :         if (array->num_elems == -1)
    2885        12183 :             *skip_array_set = true;
    2886              : 
    2887        16419 :         if (ScanDirectionIsForward(dir))
    2888              :         {
    2889        15963 :             if (_bt_array_increment(rel, skey, array))
    2890        11021 :                 return true;
    2891              :         }
    2892              :         else
    2893              :         {
    2894          456 :             if (_bt_array_decrement(rel, skey, array))
    2895          438 :                 return true;
    2896              :         }
    2897              : 
    2898              :         /*
    2899              :          * Couldn't increment (or decrement) array.  Handle array roll over.
    2900              :          *
    2901              :          * Start over at the array's lowest sorting value (or its highest
    2902              :          * value, for backward scans)...
    2903              :          */
    2904         4960 :         _bt_array_set_low_or_high(rel, skey, array,
    2905              :                                   ScanDirectionIsForward(dir));
    2906              : 
    2907              :         /* ...then increment (or decrement) next most significant array */
    2908              :     }
    2909              : 
    2910              :     /*
    2911              :      * The array keys are now exhausted.
    2912              :      *
    2913              :      * Restore the array keys to the state they were in immediately before we
    2914              :      * were called.  This ensures that the arrays only ever ratchet in the
    2915              :      * current scan direction.
    2916              :      *
    2917              :      * Without this, scans could overlook matching tuples when the scan
    2918              :      * direction gets reversed just before btgettuple runs out of items to
    2919              :      * return, but just after _bt_readpage prepares all the items from the
    2920              :      * scan's final page in so->currPos.  When we're on the final page it is
    2921              :      * typical for so->currPos to get invalidated once btgettuple finally
    2922              :      * returns false, which'll effectively invalidate the scan's array keys.
    2923              :      * That hasn't happened yet, though -- and in general it may never happen.
    2924              :      */
    2925         4256 :     _bt_start_array_keys(scan, -dir);
    2926              : 
    2927         4256 :     return false;
    2928              : }
    2929              : 
    2930              : /*
    2931              :  * _bt_array_increment() -- increment array scan key's sk_argument
    2932              :  *
    2933              :  * Return value indicates whether caller's array was successfully incremented.
    2934              :  * Cannot increment an array whose current element is already the final one.
    2935              :  */
    2936              : static bool
    2937        15963 : _bt_array_increment(Relation rel, ScanKey skey, BTArrayKeyInfo *array)
    2938              : {
    2939        15963 :     bool        oflow = false;
    2940              :     Datum       inc_sk_argument;
    2941              : 
    2942              :     Assert(skey->sk_flags & SK_SEARCHARRAY);
    2943              :     Assert(!(skey->sk_flags & (SK_BT_MINVAL | SK_BT_NEXT | SK_BT_PRIOR)));
    2944              : 
    2945              :     /* SAOP array? */
    2946        15963 :     if (array->num_elems != -1)
    2947              :     {
    2948              :         Assert(!(skey->sk_flags & (SK_BT_SKIP | SK_BT_MINVAL | SK_BT_MAXVAL)));
    2949         4218 :         if (array->cur_elem < array->num_elems - 1)
    2950              :         {
    2951              :             /*
    2952              :              * Just increment current element, and assign its datum to skey
    2953              :              * (only skip arrays need us to free existing sk_argument memory)
    2954              :              */
    2955           40 :             array->cur_elem++;
    2956           40 :             skey->sk_argument = array->elem_values[array->cur_elem];
    2957              : 
    2958              :             /* Successfully incremented array */
    2959           40 :             return true;
    2960              :         }
    2961              : 
    2962              :         /* Cannot increment past final array element */
    2963         4178 :         return false;
    2964              :     }
    2965              : 
    2966              :     /* Nope, this is a skip array */
    2967              :     Assert(skey->sk_flags & SK_BT_SKIP);
    2968              : 
    2969              :     /*
    2970              :      * The sentinel value that represents the maximum value within the range
    2971              :      * of a skip array (often just +inf) is never incrementable
    2972              :      */
    2973        11745 :     if (skey->sk_flags & SK_BT_MAXVAL)
    2974          321 :         return false;
    2975              : 
    2976              :     /*
    2977              :      * When the current array element is NULL, and the highest sorting value
    2978              :      * in the index is also NULL, we cannot increment past the final element
    2979              :      */
    2980        11424 :     if ((skey->sk_flags & SK_ISNULL) && !(skey->sk_flags & SK_BT_NULLS_FIRST))
    2981          428 :         return false;
    2982              : 
    2983              :     /*
    2984              :      * Opclasses without skip support "increment" the scan key's current
    2985              :      * element by setting the NEXT flag.  The true next value is determined by
    2986              :      * repositioning to the first index tuple > existing sk_argument/current
    2987              :      * array element.  Note that this works in the usual way when the scan key
    2988              :      * is already marked ISNULL (i.e. when the current element is NULL).
    2989              :      */
    2990        10996 :     if (!array->sksup)
    2991              :     {
    2992              :         /* Successfully "incremented" array */
    2993         7312 :         skey->sk_flags |= SK_BT_NEXT;
    2994         7312 :         return true;
    2995              :     }
    2996              : 
    2997              :     /*
    2998              :      * Opclasses with skip support directly increment sk_argument
    2999              :      */
    3000         3684 :     if (skey->sk_flags & SK_ISNULL)
    3001              :     {
    3002              :         Assert(skey->sk_flags & SK_BT_NULLS_FIRST);
    3003              : 
    3004              :         /*
    3005              :          * Existing sk_argument/array element is NULL (for an IS NULL qual).
    3006              :          *
    3007              :          * "Increment" from NULL to the low_elem value provided by opclass
    3008              :          * skip support routine.
    3009              :          */
    3010           18 :         skey->sk_flags &= ~(SK_SEARCHNULL | SK_ISNULL);
    3011           36 :         skey->sk_argument = datumCopy(array->sksup->low_elem,
    3012           18 :                                       array->attbyval, array->attlen);
    3013           18 :         return true;
    3014              :     }
    3015              : 
    3016              :     /*
    3017              :      * Ask opclass support routine to provide incremented copy of existing
    3018              :      * non-NULL sk_argument
    3019              :      */
    3020         3666 :     inc_sk_argument = array->sksup->increment(rel, skey->sk_argument, &oflow);
    3021         3666 :     if (unlikely(oflow))
    3022              :     {
    3023              :         /* inc_sk_argument has undefined value (so no pfree) */
    3024           15 :         if (array->null_elem && !(skey->sk_flags & SK_BT_NULLS_FIRST))
    3025              :         {
    3026            6 :             _bt_skiparray_set_isnull(rel, skey, array);
    3027              : 
    3028              :             /* Successfully "incremented" array to NULL */
    3029            6 :             return true;
    3030              :         }
    3031              : 
    3032              :         /* Cannot increment past final array element */
    3033            9 :         return false;
    3034              :     }
    3035              : 
    3036              :     /*
    3037              :      * Successfully incremented sk_argument to a non-NULL value.  Make sure
    3038              :      * that the incremented value is still within the range of the array.
    3039              :      */
    3040         3651 :     if (array->high_compare &&
    3041           21 :         !DatumGetBool(FunctionCall2Coll(&array->high_compare->sk_func,
    3042           21 :                                         array->high_compare->sk_collation,
    3043              :                                         inc_sk_argument,
    3044           21 :                                         array->high_compare->sk_argument)))
    3045              :     {
    3046              :         /* Keep existing sk_argument after all */
    3047            6 :         if (!array->attbyval)
    3048            0 :             pfree(DatumGetPointer(inc_sk_argument));
    3049              : 
    3050              :         /* Cannot increment past final array element */
    3051            6 :         return false;
    3052              :     }
    3053              : 
    3054              :     /* Accept value returned by opclass increment callback */
    3055         3645 :     if (!array->attbyval && skey->sk_argument)
    3056            0 :         pfree(DatumGetPointer(skey->sk_argument));
    3057         3645 :     skey->sk_argument = inc_sk_argument;
    3058              : 
    3059              :     /* Successfully incremented array */
    3060         3645 :     return true;
    3061              : }
    3062              : 
    3063              : /*
    3064              :  * _bt_array_decrement() -- decrement array scan key's sk_argument
    3065              :  *
    3066              :  * Return value indicates whether caller's array was successfully decremented.
    3067              :  * Cannot decrement an array whose current element is already the first one.
    3068              :  */
    3069              : static bool
    3070          456 : _bt_array_decrement(Relation rel, ScanKey skey, BTArrayKeyInfo *array)
    3071              : {
    3072          456 :     bool        uflow = false;
    3073              :     Datum       dec_sk_argument;
    3074              : 
    3075              :     Assert(skey->sk_flags & SK_SEARCHARRAY);
    3076              :     Assert(!(skey->sk_flags & (SK_BT_MAXVAL | SK_BT_NEXT | SK_BT_PRIOR)));
    3077              : 
    3078              :     /* SAOP array? */
    3079          456 :     if (array->num_elems != -1)
    3080              :     {
    3081              :         Assert(!(skey->sk_flags & (SK_BT_SKIP | SK_BT_MINVAL | SK_BT_MAXVAL)));
    3082           18 :         if (array->cur_elem > 0)
    3083              :         {
    3084              :             /*
    3085              :              * Just decrement current element, and assign its datum to skey
    3086              :              * (only skip arrays need us to free existing sk_argument memory)
    3087              :              */
    3088            3 :             array->cur_elem--;
    3089            3 :             skey->sk_argument = array->elem_values[array->cur_elem];
    3090              : 
    3091              :             /* Successfully decremented array */
    3092            3 :             return true;
    3093              :         }
    3094              : 
    3095              :         /* Cannot decrement to before first array element */
    3096           15 :         return false;
    3097              :     }
    3098              : 
    3099              :     /* Nope, this is a skip array */
    3100              :     Assert(skey->sk_flags & SK_BT_SKIP);
    3101              : 
    3102              :     /*
    3103              :      * The sentinel value that represents the minimum value within the range
    3104              :      * of a skip array (often just -inf) is never decrementable
    3105              :      */
    3106          438 :     if (skey->sk_flags & SK_BT_MINVAL)
    3107            0 :         return false;
    3108              : 
    3109              :     /*
    3110              :      * When the current array element is NULL, and the lowest sorting value in
    3111              :      * the index is also NULL, we cannot decrement before first array element
    3112              :      */
    3113          438 :     if ((skey->sk_flags & SK_ISNULL) && (skey->sk_flags & SK_BT_NULLS_FIRST))
    3114            0 :         return false;
    3115              : 
    3116              :     /*
    3117              :      * Opclasses without skip support "decrement" the scan key's current
    3118              :      * element by setting the PRIOR flag.  The true prior value is determined
    3119              :      * by repositioning to the last index tuple < existing sk_argument/current
    3120              :      * array element.  Note that this works in the usual way when the scan key
    3121              :      * is already marked ISNULL (i.e. when the current element is NULL).
    3122              :      */
    3123          438 :     if (!array->sksup)
    3124              :     {
    3125              :         /* Successfully "decremented" array */
    3126            6 :         skey->sk_flags |= SK_BT_PRIOR;
    3127            6 :         return true;
    3128              :     }
    3129              : 
    3130              :     /*
    3131              :      * Opclasses with skip support directly decrement sk_argument
    3132              :      */
    3133          432 :     if (skey->sk_flags & SK_ISNULL)
    3134              :     {
    3135              :         Assert(!(skey->sk_flags & SK_BT_NULLS_FIRST));
    3136              : 
    3137              :         /*
    3138              :          * Existing sk_argument/array element is NULL (for an IS NULL qual).
    3139              :          *
    3140              :          * "Decrement" from NULL to the high_elem value provided by opclass
    3141              :          * skip support routine.
    3142              :          */
    3143            3 :         skey->sk_flags &= ~(SK_SEARCHNULL | SK_ISNULL);
    3144            6 :         skey->sk_argument = datumCopy(array->sksup->high_elem,
    3145            3 :                                       array->attbyval, array->attlen);
    3146            3 :         return true;
    3147              :     }
    3148              : 
    3149              :     /*
    3150              :      * Ask opclass support routine to provide decremented copy of existing
    3151              :      * non-NULL sk_argument
    3152              :      */
    3153          429 :     dec_sk_argument = array->sksup->decrement(rel, skey->sk_argument, &uflow);
    3154          429 :     if (unlikely(uflow))
    3155              :     {
    3156              :         /* dec_sk_argument has undefined value (so no pfree) */
    3157            0 :         if (array->null_elem && (skey->sk_flags & SK_BT_NULLS_FIRST))
    3158              :         {
    3159            0 :             _bt_skiparray_set_isnull(rel, skey, array);
    3160              : 
    3161              :             /* Successfully "decremented" array to NULL */
    3162            0 :             return true;
    3163              :         }
    3164              : 
    3165              :         /* Cannot decrement to before first array element */
    3166            0 :         return false;
    3167              :     }
    3168              : 
    3169              :     /*
    3170              :      * Successfully decremented sk_argument to a non-NULL value.  Make sure
    3171              :      * that the decremented value is still within the range of the array.
    3172              :      */
    3173          429 :     if (array->low_compare &&
    3174            6 :         !DatumGetBool(FunctionCall2Coll(&array->low_compare->sk_func,
    3175            6 :                                         array->low_compare->sk_collation,
    3176              :                                         dec_sk_argument,
    3177            6 :                                         array->low_compare->sk_argument)))
    3178              :     {
    3179              :         /* Keep existing sk_argument after all */
    3180            3 :         if (!array->attbyval)
    3181            0 :             pfree(DatumGetPointer(dec_sk_argument));
    3182              : 
    3183              :         /* Cannot decrement to before first array element */
    3184            3 :         return false;
    3185              :     }
    3186              : 
    3187              :     /* Accept value returned by opclass decrement callback */
    3188          426 :     if (!array->attbyval && skey->sk_argument)
    3189            0 :         pfree(DatumGetPointer(skey->sk_argument));
    3190          426 :     skey->sk_argument = dec_sk_argument;
    3191              : 
    3192              :     /* Successfully decremented array */
    3193          426 :     return true;
    3194              : }
    3195              : 
    3196              : /*
    3197              :  * _bt_array_set_low_or_high() -- Set array scan key to lowest/highest element
    3198              :  *
    3199              :  * Caller also passes associated scan key, which will have its argument set to
    3200              :  * the lowest/highest array value in passing.
    3201              :  */
    3202              : static void
    3203        47792 : _bt_array_set_low_or_high(Relation rel, ScanKey skey, BTArrayKeyInfo *array,
    3204              :                           bool low_not_high)
    3205              : {
    3206              :     Assert(skey->sk_flags & SK_SEARCHARRAY);
    3207              : 
    3208        47792 :     if (array->num_elems != -1)
    3209              :     {
    3210              :         /* set low or high element for SAOP array */
    3211        42456 :         int         set_elem = 0;
    3212              : 
    3213              :         Assert(!(skey->sk_flags & SK_BT_SKIP));
    3214              : 
    3215        42456 :         if (!low_not_high)
    3216         4185 :             set_elem = array->num_elems - 1;
    3217              : 
    3218              :         /*
    3219              :          * Just copy over array datum (only skip arrays require freeing and
    3220              :          * allocating memory for sk_argument)
    3221              :          */
    3222        42456 :         array->cur_elem = set_elem;
    3223        42456 :         skey->sk_argument = array->elem_values[set_elem];
    3224              : 
    3225        42456 :         return;
    3226              :     }
    3227              : 
    3228              :     /* set low or high element for skip array */
    3229              :     Assert(skey->sk_flags & SK_BT_SKIP);
    3230              :     Assert(array->num_elems == -1);
    3231              : 
    3232              :     /* Free memory previously allocated for sk_argument if needed */
    3233         5336 :     if (!array->attbyval && skey->sk_argument)
    3234          957 :         pfree(DatumGetPointer(skey->sk_argument));
    3235              : 
    3236              :     /* Reset flags */
    3237         5336 :     skey->sk_argument = (Datum) 0;
    3238         5336 :     skey->sk_flags &= ~(SK_SEARCHNULL | SK_ISNULL |
    3239              :                         SK_BT_MINVAL | SK_BT_MAXVAL |
    3240              :                         SK_BT_NEXT | SK_BT_PRIOR);
    3241              : 
    3242         5336 :     if (array->null_elem &&
    3243         4439 :         (low_not_high == ((skey->sk_flags & SK_BT_NULLS_FIRST) != 0)))
    3244              :     {
    3245              :         /* Requested element (either lowest or highest) has the value NULL */
    3246          901 :         skey->sk_flags |= (SK_SEARCHNULL | SK_ISNULL);
    3247              :     }
    3248         4435 :     else if (low_not_high)
    3249              :     {
    3250              :         /* Setting array to lowest element (according to low_compare) */
    3251         4075 :         skey->sk_flags |= SK_BT_MINVAL;
    3252              :     }
    3253              :     else
    3254              :     {
    3255              :         /* Setting array to highest element (according to high_compare) */
    3256          360 :         skey->sk_flags |= SK_BT_MAXVAL;
    3257              :     }
    3258              : }
    3259              : 
    3260              : /*
    3261              :  * _bt_skiparray_set_element() -- Set skip array scan key's sk_argument
    3262              :  *
    3263              :  * Caller passes set_elem_result returned by _bt_binsrch_skiparray_skey for
    3264              :  * caller's tupdatum/tupnull.
    3265              :  *
    3266              :  * We copy tupdatum/tupnull into skey's sk_argument iff set_elem_result == 0.
    3267              :  * Otherwise, we set skey to either the lowest or highest value that's within
    3268              :  * the range of caller's skip array (whichever is the best available match to
    3269              :  * tupdatum/tupnull that is still within the range of the skip array according
    3270              :  * to _bt_binsrch_skiparray_skey/set_elem_result).
    3271              :  */
    3272              : static void
    3273        77117 : _bt_skiparray_set_element(Relation rel, ScanKey skey, BTArrayKeyInfo *array,
    3274              :                           int32 set_elem_result, Datum tupdatum, bool tupnull)
    3275              : {
    3276              :     Assert(skey->sk_flags & SK_BT_SKIP);
    3277              :     Assert(skey->sk_flags & SK_SEARCHARRAY);
    3278              : 
    3279        77117 :     if (set_elem_result)
    3280              :     {
    3281              :         /* tupdatum/tupnull is out of the range of the skip array */
    3282              :         Assert(!array->null_elem);
    3283              : 
    3284          321 :         _bt_array_set_low_or_high(rel, skey, array, set_elem_result < 0);
    3285          321 :         return;
    3286              :     }
    3287              : 
    3288              :     /* Advance skip array to tupdatum (or tupnull) value */
    3289        76796 :     if (unlikely(tupnull))
    3290              :     {
    3291           18 :         _bt_skiparray_set_isnull(rel, skey, array);
    3292           18 :         return;
    3293              :     }
    3294              : 
    3295              :     /* Free memory previously allocated for sk_argument if needed */
    3296        76778 :     if (!array->attbyval && skey->sk_argument)
    3297        38433 :         pfree(DatumGetPointer(skey->sk_argument));
    3298              : 
    3299              :     /* tupdatum becomes new sk_argument/new current element */
    3300        76778 :     skey->sk_flags &= ~(SK_SEARCHNULL | SK_ISNULL |
    3301              :                         SK_BT_MINVAL | SK_BT_MAXVAL |
    3302              :                         SK_BT_NEXT | SK_BT_PRIOR);
    3303        76778 :     skey->sk_argument = datumCopy(tupdatum, array->attbyval, array->attlen);
    3304              : }
    3305              : 
    3306              : /*
    3307              :  * _bt_skiparray_set_isnull() -- set skip array scan key to NULL
    3308              :  */
    3309              : static void
    3310           24 : _bt_skiparray_set_isnull(Relation rel, ScanKey skey, BTArrayKeyInfo *array)
    3311              : {
    3312              :     Assert(skey->sk_flags & SK_BT_SKIP);
    3313              :     Assert(skey->sk_flags & SK_SEARCHARRAY);
    3314              :     Assert(array->null_elem && !array->low_compare && !array->high_compare);
    3315              : 
    3316              :     /* Free memory previously allocated for sk_argument if needed */
    3317           24 :     if (!array->attbyval && skey->sk_argument)
    3318            3 :         pfree(DatumGetPointer(skey->sk_argument));
    3319              : 
    3320              :     /* NULL becomes new sk_argument/new current element */
    3321           24 :     skey->sk_argument = (Datum) 0;
    3322           24 :     skey->sk_flags &= ~(SK_BT_MINVAL | SK_BT_MAXVAL |
    3323              :                         SK_BT_NEXT | SK_BT_PRIOR);
    3324           24 :     skey->sk_flags |= (SK_SEARCHNULL | SK_ISNULL);
    3325           24 : }
    3326              : 
    3327              : /*
    3328              :  * _bt_compare_array_skey() -- apply array comparison function
    3329              :  *
    3330              :  * Compares caller's tuple attribute value to a scan key/array element.
    3331              :  * Helper function used during binary searches of SK_SEARCHARRAY arrays.
    3332              :  *
    3333              :  *      This routine returns:
    3334              :  *          <0 if tupdatum < arrdatum;
    3335              :  *           0 if tupdatum == arrdatum;
    3336              :  *          >0 if tupdatum > arrdatum.
    3337              :  *
    3338              :  * This is essentially the same interface as _bt_compare: both functions
    3339              :  * compare the value that they're searching for to a binary search pivot.
    3340              :  * However, unlike _bt_compare, this function's "tuple argument" comes first,
    3341              :  * while its "array/scankey argument" comes second.
    3342              : */
    3343              : static inline int32
    3344       236597 : _bt_compare_array_skey(FmgrInfo *orderproc,
    3345              :                        Datum tupdatum, bool tupnull,
    3346              :                        Datum arrdatum, ScanKey cur)
    3347              : {
    3348       236597 :     int32       result = 0;
    3349              : 
    3350              :     Assert(cur->sk_strategy == BTEqualStrategyNumber);
    3351              :     Assert(!(cur->sk_flags & (SK_BT_MINVAL | SK_BT_MAXVAL)));
    3352              : 
    3353       236597 :     if (tupnull)                /* NULL tupdatum */
    3354              :     {
    3355          114 :         if (cur->sk_flags & SK_ISNULL)
    3356           66 :             result = 0;         /* NULL "=" NULL */
    3357           48 :         else if (cur->sk_flags & SK_BT_NULLS_FIRST)
    3358            0 :             result = -1;        /* NULL "<" NOT_NULL */
    3359              :         else
    3360           48 :             result = 1;         /* NULL ">" NOT_NULL */
    3361              :     }
    3362       236483 :     else if (cur->sk_flags & SK_ISNULL) /* NOT_NULL tupdatum, NULL arrdatum */
    3363              :     {
    3364        15270 :         if (cur->sk_flags & SK_BT_NULLS_FIRST)
    3365           27 :             result = 1;         /* NOT_NULL ">" NULL */
    3366              :         else
    3367        15243 :             result = -1;        /* NOT_NULL "<" NULL */
    3368              :     }
    3369              :     else
    3370              :     {
    3371              :         /*
    3372              :          * Like _bt_compare, we need to be careful of cross-type comparisons,
    3373              :          * so the left value has to be the value that came from an index tuple
    3374              :          */
    3375       221213 :         result = DatumGetInt32(FunctionCall2Coll(orderproc, cur->sk_collation,
    3376              :                                                  tupdatum, arrdatum));
    3377              : 
    3378              :         /*
    3379              :          * We flip the sign by following the obvious rule: flip whenever the
    3380              :          * column is a DESC column.
    3381              :          *
    3382              :          * _bt_compare does it the wrong way around (flip when *ASC*) in order
    3383              :          * to compensate for passing its orderproc arguments backwards.  We
    3384              :          * don't need to play these games because we find it natural to pass
    3385              :          * tupdatum as the left value (and arrdatum as the right value).
    3386              :          */
    3387       221213 :         if (cur->sk_flags & SK_BT_DESC)
    3388        22749 :             INVERT_COMPARE_RESULT(result);
    3389              :     }
    3390              : 
    3391       236597 :     return result;
    3392              : }
    3393              : 
    3394              : /*
    3395              :  * _bt_binsrch_array_skey() -- Binary search for next matching array key
    3396              :  *
    3397              :  * Returns an index to the first array element >= caller's tupdatum argument.
    3398              :  * This convention is more natural for forwards scan callers, but that can't
    3399              :  * really matter to backwards scan callers.  Both callers require handling for
    3400              :  * the case where the match we return is < tupdatum, and symmetric handling
    3401              :  * for the case where our best match is > tupdatum.
    3402              :  *
    3403              :  * Also sets *set_elem_result to the result _bt_compare_array_skey returned
    3404              :  * when we used it to compare the matching array element to tupdatum/tupnull.
    3405              :  *
    3406              :  * cur_elem_trig indicates if array advancement was triggered by this array's
    3407              :  * scan key, and that the array is for a required scan key.  We can apply this
    3408              :  * information to find the next matching array element in the current scan
    3409              :  * direction using far fewer comparisons (fewer on average, compared to naive
    3410              :  * binary search).  This scheme takes advantage of an important property of
    3411              :  * required arrays: required arrays always advance in lockstep with the index
    3412              :  * scan's progress through the index's key space.
    3413              :  */
    3414              : int
    3415        16550 : _bt_binsrch_array_skey(FmgrInfo *orderproc,
    3416              :                        bool cur_elem_trig, ScanDirection dir,
    3417              :                        Datum tupdatum, bool tupnull,
    3418              :                        BTArrayKeyInfo *array, ScanKey cur,
    3419              :                        int32 *set_elem_result)
    3420              : {
    3421        16550 :     int         low_elem = 0,
    3422        16550 :                 mid_elem = -1,
    3423        16550 :                 high_elem = array->num_elems - 1,
    3424        16550 :                 result = 0;
    3425              :     Datum       arrdatum;
    3426              : 
    3427              :     Assert(cur->sk_flags & SK_SEARCHARRAY);
    3428              :     Assert(!(cur->sk_flags & SK_BT_SKIP));
    3429              :     Assert(!(cur->sk_flags & SK_ISNULL));    /* SAOP arrays never have NULLs */
    3430              :     Assert(cur->sk_strategy == BTEqualStrategyNumber);
    3431              : 
    3432        16550 :     if (cur_elem_trig)
    3433              :     {
    3434              :         Assert(!ScanDirectionIsNoMovement(dir));
    3435              :         Assert(cur->sk_flags & SK_BT_REQFWD);
    3436              : 
    3437              :         /*
    3438              :          * When the scan key that triggered array advancement is a required
    3439              :          * array scan key, it is now certain that the current array element
    3440              :          * (plus all prior elements relative to the current scan direction)
    3441              :          * cannot possibly be at or ahead of the corresponding tuple value.
    3442              :          * (_bt_checkkeys must have called _bt_tuple_before_array_skeys, which
    3443              :          * makes sure this is true as a condition of advancing the arrays.)
    3444              :          *
    3445              :          * This makes it safe to exclude array elements up to and including
    3446              :          * the former-current array element from our search.
    3447              :          *
    3448              :          * Separately, when array advancement was triggered by a required scan
    3449              :          * key, the array element immediately after the former-current element
    3450              :          * is often either an exact tupdatum match, or a "close by" near-match
    3451              :          * (a near-match tupdatum is one whose key space falls _between_ the
    3452              :          * former-current and new-current array elements).  We'll detect both
    3453              :          * cases via an optimistic comparison of the new search lower bound
    3454              :          * (or new search upper bound in the case of backwards scans).
    3455              :          */
    3456        15955 :         if (ScanDirectionIsForward(dir))
    3457              :         {
    3458        15925 :             low_elem = array->cur_elem + 1; /* old cur_elem exhausted */
    3459              : 
    3460              :             /* Compare prospective new cur_elem (also the new lower bound) */
    3461        15925 :             if (high_elem >= low_elem)
    3462              :             {
    3463        11876 :                 arrdatum = array->elem_values[low_elem];
    3464        11876 :                 result = _bt_compare_array_skey(orderproc, tupdatum, tupnull,
    3465              :                                                 arrdatum, cur);
    3466              : 
    3467        11876 :                 if (result <= 0)
    3468              :                 {
    3469              :                     /* Optimistic comparison optimization worked out */
    3470        11826 :                     *set_elem_result = result;
    3471        11826 :                     return low_elem;
    3472              :                 }
    3473           50 :                 mid_elem = low_elem;
    3474           50 :                 low_elem++;     /* this cur_elem exhausted, too */
    3475              :             }
    3476              : 
    3477         4099 :             if (high_elem < low_elem)
    3478              :             {
    3479              :                 /* Caller needs to perform "beyond end" array advancement */
    3480         4052 :                 *set_elem_result = 1;
    3481         4052 :                 return high_elem;
    3482              :             }
    3483              :         }
    3484              :         else
    3485              :         {
    3486           30 :             high_elem = array->cur_elem - 1; /* old cur_elem exhausted */
    3487              : 
    3488              :             /* Compare prospective new cur_elem (also the new upper bound) */
    3489           30 :             if (high_elem >= low_elem)
    3490              :             {
    3491           21 :                 arrdatum = array->elem_values[high_elem];
    3492           21 :                 result = _bt_compare_array_skey(orderproc, tupdatum, tupnull,
    3493              :                                                 arrdatum, cur);
    3494              : 
    3495           21 :                 if (result >= 0)
    3496              :                 {
    3497              :                     /* Optimistic comparison optimization worked out */
    3498           15 :                     *set_elem_result = result;
    3499           15 :                     return high_elem;
    3500              :                 }
    3501            6 :                 mid_elem = high_elem;
    3502            6 :                 high_elem--;    /* this cur_elem exhausted, too */
    3503              :             }
    3504              : 
    3505           15 :             if (high_elem < low_elem)
    3506              :             {
    3507              :                 /* Caller needs to perform "beyond end" array advancement */
    3508           15 :                 *set_elem_result = -1;
    3509           15 :                 return low_elem;
    3510              :             }
    3511              :         }
    3512              :     }
    3513              : 
    3514         2121 :     while (high_elem > low_elem)
    3515              :     {
    3516         1548 :         mid_elem = low_elem + ((high_elem - low_elem) / 2);
    3517         1548 :         arrdatum = array->elem_values[mid_elem];
    3518              : 
    3519         1548 :         result = _bt_compare_array_skey(orderproc, tupdatum, tupnull,
    3520              :                                         arrdatum, cur);
    3521              : 
    3522         1548 :         if (result == 0)
    3523              :         {
    3524              :             /*
    3525              :              * It's safe to quit as soon as we see an equal array element.
    3526              :              * This often saves an extra comparison or two...
    3527              :              */
    3528           69 :             low_elem = mid_elem;
    3529           69 :             break;
    3530              :         }
    3531              : 
    3532         1479 :         if (result > 0)
    3533         1464 :             low_elem = mid_elem + 1;
    3534              :         else
    3535           15 :             high_elem = mid_elem;
    3536              :     }
    3537              : 
    3538              :     /*
    3539              :      * ...but our caller also cares about how its searched-for tuple datum
    3540              :      * compares to the low_elem datum.  Must always set *set_elem_result with
    3541              :      * the result of that comparison specifically.
    3542              :      */
    3543          642 :     if (low_elem != mid_elem)
    3544          564 :         result = _bt_compare_array_skey(orderproc, tupdatum, tupnull,
    3545          564 :                                         array->elem_values[low_elem], cur);
    3546              : 
    3547          642 :     *set_elem_result = result;
    3548              : 
    3549          642 :     return low_elem;
    3550              : }
    3551              : 
    3552              : /*
    3553              :  * _bt_binsrch_skiparray_skey() -- "Binary search" within a skip array
    3554              :  *
    3555              :  * Does not return an index into the array, since skip arrays don't really
    3556              :  * contain elements (they generate their array elements procedurally instead).
    3557              :  * Our interface matches that of _bt_binsrch_array_skey in every other way.
    3558              :  *
    3559              :  * Sets *set_elem_result just like _bt_binsrch_array_skey would with a true
    3560              :  * array.  The value 0 indicates that tupdatum/tupnull is within the range of
    3561              :  * the skip array.  We return -1 when tupdatum/tupnull is lower that any value
    3562              :  * within the range of the array, and 1 when it is higher than every value.
    3563              :  * Caller should pass *set_elem_result to _bt_skiparray_set_element to advance
    3564              :  * the array.
    3565              :  *
    3566              :  * cur_elem_trig indicates if array advancement was triggered by this array's
    3567              :  * scan key.  We use this to optimize-away comparisons that are known by our
    3568              :  * caller to be unnecessary from context, just like _bt_binsrch_array_skey.
    3569              :  */
    3570              : static void
    3571        82965 : _bt_binsrch_skiparray_skey(bool cur_elem_trig, ScanDirection dir,
    3572              :                            Datum tupdatum, bool tupnull,
    3573              :                            BTArrayKeyInfo *array, ScanKey cur,
    3574              :                            int32 *set_elem_result)
    3575              : {
    3576              :     Assert(cur->sk_flags & SK_BT_SKIP);
    3577              :     Assert(cur->sk_flags & SK_SEARCHARRAY);
    3578              :     Assert(cur->sk_flags & SK_BT_REQFWD);
    3579              :     Assert(array->num_elems == -1);
    3580              :     Assert(!ScanDirectionIsNoMovement(dir));
    3581              : 
    3582        82965 :     if (array->null_elem)
    3583              :     {
    3584              :         Assert(!array->low_compare && !array->high_compare);
    3585              : 
    3586        70180 :         *set_elem_result = 0;
    3587        70180 :         return;
    3588              :     }
    3589              : 
    3590        12785 :     if (tupnull)                /* NULL tupdatum */
    3591              :     {
    3592           12 :         if (cur->sk_flags & SK_BT_NULLS_FIRST)
    3593            0 :             *set_elem_result = -1;  /* NULL "<" NOT_NULL */
    3594              :         else
    3595           12 :             *set_elem_result = 1;   /* NULL ">" NOT_NULL */
    3596           12 :         return;
    3597              :     }
    3598              : 
    3599              :     /*
    3600              :      * Array inequalities determine whether tupdatum is within the range of
    3601              :      * caller's skip array
    3602              :      */
    3603        12773 :     *set_elem_result = 0;
    3604        12773 :     if (ScanDirectionIsForward(dir))
    3605              :     {
    3606              :         /*
    3607              :          * Evaluate low_compare first (unless cur_elem_trig tells us that it
    3608              :          * cannot possibly fail to be satisfied), then evaluate high_compare
    3609              :          */
    3610        12749 :         if (!cur_elem_trig && array->low_compare &&
    3611          347 :             !DatumGetBool(FunctionCall2Coll(&array->low_compare->sk_func,
    3612          347 :                                             array->low_compare->sk_collation,
    3613              :                                             tupdatum,
    3614          347 :                                             array->low_compare->sk_argument)))
    3615            0 :             *set_elem_result = -1;
    3616        12749 :         else if (array->high_compare &&
    3617         4703 :                  !DatumGetBool(FunctionCall2Coll(&array->high_compare->sk_func,
    3618         4703 :                                                  array->high_compare->sk_collation,
    3619              :                                                  tupdatum,
    3620         4703 :                                                  array->high_compare->sk_argument)))
    3621         3203 :             *set_elem_result = 1;
    3622              :     }
    3623              :     else
    3624              :     {
    3625              :         /*
    3626              :          * Evaluate high_compare first (unless cur_elem_trig tells us that it
    3627              :          * cannot possibly fail to be satisfied), then evaluate low_compare
    3628              :          */
    3629           24 :         if (!cur_elem_trig && array->high_compare &&
    3630            3 :             !DatumGetBool(FunctionCall2Coll(&array->high_compare->sk_func,
    3631            3 :                                             array->high_compare->sk_collation,
    3632              :                                             tupdatum,
    3633            3 :                                             array->high_compare->sk_argument)))
    3634            0 :             *set_elem_result = 1;
    3635           24 :         else if (array->low_compare &&
    3636           12 :                  !DatumGetBool(FunctionCall2Coll(&array->low_compare->sk_func,
    3637           12 :                                                  array->low_compare->sk_collation,
    3638              :                                                  tupdatum,
    3639           12 :                                                  array->low_compare->sk_argument)))
    3640            0 :             *set_elem_result = -1;
    3641              :     }
    3642              : 
    3643              :     /*
    3644              :      * Assert that any keys that were assumed to be satisfied already (due to
    3645              :      * caller passing cur_elem_trig=true) really are satisfied as expected
    3646              :      */
    3647              : #ifdef USE_ASSERT_CHECKING
    3648              :     if (cur_elem_trig)
    3649              :     {
    3650              :         if (ScanDirectionIsForward(dir) && array->low_compare)
    3651              :             Assert(DatumGetBool(FunctionCall2Coll(&array->low_compare->sk_func,
    3652              :                                                   array->low_compare->sk_collation,
    3653              :                                                   tupdatum,
    3654              :                                                   array->low_compare->sk_argument)));
    3655              : 
    3656              :         if (ScanDirectionIsBackward(dir) && array->high_compare)
    3657              :             Assert(DatumGetBool(FunctionCall2Coll(&array->high_compare->sk_func,
    3658              :                                                   array->high_compare->sk_collation,
    3659              :                                                   tupdatum,
    3660              :                                                   array->high_compare->sk_argument)));
    3661              :     }
    3662              : #endif
    3663              : }
    3664              : 
    3665              : #ifdef USE_ASSERT_CHECKING
    3666              : /*
    3667              :  * Verify that the scan's "so->keyData[]" scan keys are in agreement with
    3668              :  * its array key state
    3669              :  */
    3670              : static bool
    3671              : _bt_verify_keys_with_arraykeys(IndexScanDesc scan)
    3672              : {
    3673              :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    3674              :     int         last_sk_attno = InvalidAttrNumber,
    3675              :                 arrayidx = 0;
    3676              :     bool        nonrequiredseen = false;
    3677              : 
    3678              :     if (!so->qual_ok)
    3679              :         return false;
    3680              : 
    3681              :     for (int ikey = 0; ikey < so->numberOfKeys; ikey++)
    3682              :     {
    3683              :         ScanKey     cur = so->keyData + ikey;
    3684              :         BTArrayKeyInfo *array;
    3685              : 
    3686              :         if (cur->sk_strategy != BTEqualStrategyNumber ||
    3687              :             !(cur->sk_flags & SK_SEARCHARRAY))
    3688              :             continue;
    3689              : 
    3690              :         array = &so->arrayKeys[arrayidx++];
    3691              :         if (array->scan_key != ikey)
    3692              :             return false;
    3693              : 
    3694              :         if (array->num_elems == 0 || array->num_elems < -1)
    3695              :             return false;
    3696              : 
    3697              :         if (array->num_elems != -1 &&
    3698              :             cur->sk_argument != array->elem_values[array->cur_elem])
    3699              :             return false;
    3700              :         if (cur->sk_flags & (SK_BT_REQFWD | SK_BT_REQBKWD))
    3701              :         {
    3702              :             if (last_sk_attno > cur->sk_attno)
    3703              :                 return false;
    3704              :             if (nonrequiredseen)
    3705              :                 return false;
    3706              :         }
    3707              :         else
    3708              :             nonrequiredseen = true;
    3709              : 
    3710              :         last_sk_attno = cur->sk_attno;
    3711              :     }
    3712              : 
    3713              :     if (arrayidx != so->numArrayKeys)
    3714              :         return false;
    3715              : 
    3716              :     return true;
    3717              : }
    3718              : #endif
        

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