LCOV - code coverage report
Current view: top level - src/backend/access/nbtree - nbtpreprocesskeys.c (source / functions) Coverage Total Hit
Test: PostgreSQL 19devel Lines: 88.6 % 788 698
Test Date: 2026-03-04 03:14:50 Functions: 100.0 % 20 20
Legend: Lines:     hit not hit

            Line data    Source code
       1              : /*-------------------------------------------------------------------------
       2              :  *
       3              :  * nbtpreprocesskeys.c
       4              :  *    Preprocessing for Postgres btree scan keys.
       5              :  *
       6              :  * Portions Copyright (c) 1996-2026, PostgreSQL Global Development Group
       7              :  * Portions Copyright (c) 1994, Regents of the University of California
       8              :  *
       9              :  *
      10              :  * IDENTIFICATION
      11              :  *    src/backend/access/nbtree/nbtpreprocesskeys.c
      12              :  *
      13              :  *-------------------------------------------------------------------------
      14              :  */
      15              : 
      16              : #include "postgres.h"
      17              : 
      18              : #include "access/nbtree.h"
      19              : #include "access/relscan.h"
      20              : #include "common/int.h"
      21              : #include "lib/qunique.h"
      22              : #include "utils/array.h"
      23              : #include "utils/lsyscache.h"
      24              : #include "utils/memutils.h"
      25              : #include "utils/rel.h"
      26              : 
      27              : typedef struct BTScanKeyPreproc
      28              : {
      29              :     ScanKey     inkey;
      30              :     int         inkeyi;
      31              :     int         arrayidx;
      32              : } BTScanKeyPreproc;
      33              : 
      34              : typedef struct BTSortArrayContext
      35              : {
      36              :     FmgrInfo   *sortproc;
      37              :     Oid         collation;
      38              :     bool        reverse;
      39              : } BTSortArrayContext;
      40              : 
      41              : static bool _bt_fix_scankey_strategy(ScanKey skey, int16 *indoption);
      42              : static void _bt_mark_scankey_required(ScanKey skey);
      43              : static bool _bt_compare_scankey_args(IndexScanDesc scan, ScanKey op,
      44              :                                      ScanKey leftarg, ScanKey rightarg,
      45              :                                      BTArrayKeyInfo *array, FmgrInfo *orderproc,
      46              :                                      bool *result);
      47              : static bool _bt_compare_array_scankey_args(IndexScanDesc scan,
      48              :                                            ScanKey arraysk, ScanKey skey,
      49              :                                            FmgrInfo *orderproc, BTArrayKeyInfo *array,
      50              :                                            bool *qual_ok);
      51              : static bool _bt_saoparray_shrink(IndexScanDesc scan, ScanKey arraysk,
      52              :                                  ScanKey skey, FmgrInfo *orderproc,
      53              :                                  BTArrayKeyInfo *array, bool *qual_ok);
      54              : static bool _bt_skiparray_shrink(IndexScanDesc scan, ScanKey skey,
      55              :                                  BTArrayKeyInfo *array, bool *qual_ok);
      56              : static void _bt_skiparray_strat_adjust(IndexScanDesc scan, ScanKey arraysk,
      57              :                                        BTArrayKeyInfo *array);
      58              : static void _bt_skiparray_strat_decrement(IndexScanDesc scan, ScanKey arraysk,
      59              :                                           BTArrayKeyInfo *array);
      60              : static void _bt_skiparray_strat_increment(IndexScanDesc scan, ScanKey arraysk,
      61              :                                           BTArrayKeyInfo *array);
      62              : static void _bt_unmark_keys(IndexScanDesc scan, int *keyDataMap);
      63              : static int  _bt_reorder_array_cmp(const void *a, const void *b);
      64              : static ScanKey _bt_preprocess_array_keys(IndexScanDesc scan, int *new_numberOfKeys);
      65              : static void _bt_preprocess_array_keys_final(IndexScanDesc scan, int *keyDataMap);
      66              : static int  _bt_num_array_keys(IndexScanDesc scan, Oid *skip_eq_ops_out,
      67              :                                int *numSkipArrayKeys_out);
      68              : static Datum _bt_find_extreme_element(IndexScanDesc scan, ScanKey skey,
      69              :                                       Oid elemtype, StrategyNumber strat,
      70              :                                       const Datum *elems, int nelems);
      71              : static void _bt_setup_array_cmp(IndexScanDesc scan, ScanKey skey, Oid elemtype,
      72              :                                 FmgrInfo *orderproc, FmgrInfo **sortprocp);
      73              : static int  _bt_sort_array_elements(ScanKey skey, FmgrInfo *sortproc,
      74              :                                     bool reverse, Datum *elems, int nelems);
      75              : static bool _bt_merge_arrays(IndexScanDesc scan, ScanKey skey,
      76              :                              FmgrInfo *sortproc, bool reverse,
      77              :                              Oid origelemtype, Oid nextelemtype,
      78              :                              Datum *elems_orig, int *nelems_orig,
      79              :                              Datum *elems_next, int nelems_next);
      80              : static int  _bt_compare_array_elements(const void *a, const void *b, void *arg);
      81              : 
      82              : 
      83              : /*
      84              :  *  _bt_preprocess_keys() -- Preprocess scan keys
      85              :  *
      86              :  * The given search-type keys (taken from scan->keyData[])
      87              :  * are copied to so->keyData[] with possible transformation.
      88              :  * scan->numberOfKeys is the number of input keys, so->numberOfKeys gets
      89              :  * the number of output keys.  Calling here a second or subsequent time
      90              :  * (during the same btrescan) is a no-op.
      91              :  *
      92              :  * The output keys are marked with additional sk_flags bits beyond the
      93              :  * system-standard bits supplied by the caller.  The DESC and NULLS_FIRST
      94              :  * indoption bits for the relevant index attribute are copied into the flags.
      95              :  * Also, for a DESC column, we commute (flip) all the sk_strategy numbers
      96              :  * so that the index sorts in the desired direction.
      97              :  *
      98              :  * One key purpose of this routine is to discover which scan keys must be
      99              :  * satisfied to continue the scan.  It also attempts to eliminate redundant
     100              :  * keys and detect contradictory keys.  (If the index opfamily provides
     101              :  * incomplete sets of cross-type operators, we may fail to detect redundant
     102              :  * or contradictory keys, but we can survive that.)
     103              :  *
     104              :  * Required output keys are sorted by index attribute.  Presently we expect
     105              :  * (but verify) that the input keys are already so sorted --- this is done
     106              :  * by match_clauses_to_index() in indxpath.c.  Some reordering of the keys
     107              :  * within each attribute may be done as a byproduct of the processing here.
     108              :  * That process must leave array scan keys (within an attribute) in the same
     109              :  * order as corresponding entries from the scan's BTArrayKeyInfo array info.
     110              :  * We might also construct skip array scan keys that weren't present in the
     111              :  * original input keys; these are also output in standard attribute order.
     112              :  *
     113              :  * The output keys are marked with flags SK_BT_REQFWD and/or SK_BT_REQBKWD
     114              :  * if they must be satisfied in order to continue the scan forward or backward
     115              :  * respectively.  _bt_checkkeys uses these flags.  For example, if the quals
     116              :  * are "x = 1 AND y < 4 AND z < 5", then _bt_checkkeys will reject a tuple
     117              :  * (1,2,7), but we must continue the scan in case there are tuples (1,3,z).
     118              :  * But once we reach tuples like (1,4,z) we can stop scanning because no
     119              :  * later tuples could match.  This is reflected by marking the x and y keys,
     120              :  * but not the z key, with SK_BT_REQFWD.  In general, the keys for leading
     121              :  * attributes with "=" keys are marked both SK_BT_REQFWD and SK_BT_REQBKWD.
     122              :  * For the first attribute without an "=" key, any "<" and "<=" keys are
     123              :  * marked SK_BT_REQFWD while any ">" and ">=" keys are marked SK_BT_REQBKWD.
     124              :  * This can be seen to be correct by considering the above example.
     125              :  * (Actually, the z key _will_ be marked SK_BT_REQFWD, since preprocessing
     126              :  * will generate a skip array on y -- except when DEBUG_DISABLE_SKIP_SCAN.
     127              :  * See below description of how and why we generate skip array = keys in the
     128              :  * presence of a "contradictory" condition such as "y < 4".)
     129              :  *
     130              :  * If we never generated skip array scan keys, it would be possible for "gaps"
     131              :  * to appear that make it unsafe to mark any subsequent input scan keys
     132              :  * (copied from scan->keyData[]) as required to continue the scan.  Prior to
     133              :  * Postgres 18, a qual like "WHERE y = 4" always resulted in a full scan.
     134              :  * This qual now becomes "WHERE x = ANY('{every possible x value}') and y = 4"
     135              :  * on output.  In other words, preprocessing now adds a skip array on "x".
     136              :  * This has the potential to be much more efficient than a full index scan
     137              :  * (though it behaves like a full scan when there's many distinct "x" values).
     138              :  *
     139              :  * Typically, redundant keys are eliminated: we keep only the tightest
     140              :  * >/>= bound and the tightest </<= bound, and if there's an = key then
     141              :  * that's the only one returned.  (So, we return either a single = key,
     142              :  * or one or two boundary-condition keys for each attr.)  However, if we
     143              :  * cannot compare two keys for lack of a suitable cross-type operator,
     144              :  * we cannot eliminate either key.
     145              :  *
     146              :  * When all redundant keys could not be eliminated, we'll output a key array
     147              :  * that can more or less be treated as if it had no redundant keys.  Suppose
     148              :  * we have "x > 4::int AND x > 10::bigint AND x < 70", and we are unable to
     149              :  * determine which > key is more restrictive for lack of a suitable cross-type
     150              :  * operator.  We'll arbitrarily pick one of the > keys; the other > key won't
     151              :  * be marked required.  Obviously, the scan will be less efficient if we
     152              :  * choose x > 4 over x > 10 -- but it can still largely proceed as if there
     153              :  * was only a single > condition.  "x > 10" will be placed at the end of the
     154              :  * so->keyData[] output array.  It'll always be evaluated last, after the keys
     155              :  * that could be marked required in the usual way (after "x > 4 AND x < 70").
     156              :  * This can sometimes result in so->keyData[] keys that aren't even in index
     157              :  * attribute order (if the qual involves multiple attributes).  The scan's
     158              :  * required keys will still be in attribute order, though, so it can't matter.
     159              :  *
     160              :  * This scheme ensures that _bt_first always uses the same set of keys at the
     161              :  * start of a forwards scan as those _bt_checkkeys uses to determine when to
     162              :  * end a similar backwards scan (and vice-versa).  _bt_advance_array_keys
     163              :  * depends on this: it expects to be able to reliably predict what the next
     164              :  * _bt_first call will do by testing whether _bt_checkkeys' routines report
     165              :  * that the final tuple on the page is past the end of matches for the scan's
     166              :  * keys with the scan direction flipped.  If it is (if continuescan=false),
     167              :  * then it follows that calling _bt_first will, at a minimum, relocate the
     168              :  * scan to the very next leaf page (in the current scan direction).
     169              :  *
     170              :  * As a byproduct of this work, we can detect contradictory quals such
     171              :  * as "x = 1 AND x > 2".  If we see that, we return so->qual_ok = false,
     172              :  * indicating the scan need not be run at all since no tuples can match.
     173              :  * (In this case we do not bother completing the output key array!)
     174              :  * Again, missing cross-type operators might cause us to fail to prove the
     175              :  * quals contradictory when they really are, but the scan will work correctly.
     176              :  *
     177              :  * Skip array = keys will even be generated in the presence of "contradictory"
     178              :  * inequality quals when it'll enable marking later input quals as required.
     179              :  * We'll merge any such inequalities into the generated skip array by setting
     180              :  * its array.low_compare or array.high_compare key field.  The resulting skip
     181              :  * array will generate its array elements from a range that's constrained by
     182              :  * any merged input inequalities (which won't get output in so->keyData[]).
     183              :  *
     184              :  * Row compares are treated as ordinary inequality comparisons on the row's
     185              :  * first index column whenever possible.  We treat their first subkey as if it
     186              :  * was a simple scalar inequality for the purposes of the logic about required
     187              :  * keys.  This also gives us limited ability to detect contradictory/redundant
     188              :  * conditions involving a row compare: we can do so whenever it involves an
     189              :  * SK_ISNULL condition on a row compare's first column (the same rules used
     190              :  * with simple inequalities work just as well here).  We have no ability to
     191              :  * detect redundant/contradictory conditions in any other row compare case.
     192              :  * Note in particular that we are unable to merge a row comparison key into a
     193              :  * skip array (only ordinary inequalities are merged).  Any so->keyData[] key
     194              :  * on a column that comes after a row comparison's first column can therefore
     195              :  * never be marked as required at present.
     196              :  *
     197              :  * Note: the reason we have to copy the preprocessed scan keys into private
     198              :  * storage is that we are modifying the array based on comparisons of the
     199              :  * key argument values, which could change on a rescan.  Therefore we can't
     200              :  * overwrite the source data.
     201              :  */
     202              : void
     203      8595753 : _bt_preprocess_keys(IndexScanDesc scan)
     204              : {
     205      8595753 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
     206      8595753 :     int         numberOfKeys = scan->numberOfKeys;
     207      8595753 :     int16      *indoption = scan->indexRelation->rd_indoption;
     208              :     int         new_numberOfKeys;
     209              :     int         numberOfEqualCols;
     210              :     ScanKey     inkeys;
     211              :     BTScanKeyPreproc xform[BTMaxStrategyNumber];
     212              :     bool        test_result,
     213      8595753 :                 redundant_key_kept = false;
     214              :     AttrNumber  attno;
     215              :     ScanKey     arrayKeyData;
     216      8595753 :     int        *keyDataMap = NULL;
     217      8595753 :     int         arrayidx = 0;
     218              : 
     219      8595753 :     if (so->numberOfKeys > 0)
     220              :     {
     221              :         /*
     222              :          * Only need to do preprocessing once per btrescan, at most.  All
     223              :          * calls after the first are handled as no-ops.
     224              :          */
     225      4418519 :         return;
     226              :     }
     227              : 
     228              :     /* initialize result variables */
     229      8586958 :     so->qual_ok = true;
     230      8586958 :     so->numberOfKeys = 0;
     231              : 
     232      8586958 :     if (numberOfKeys < 1)
     233         6795 :         return;                 /* done if qual-less scan */
     234              : 
     235              :     /* If any keys are SK_SEARCHARRAY type, set up array-key info */
     236      8580163 :     arrayKeyData = _bt_preprocess_array_keys(scan, &numberOfKeys);
     237      8580163 :     if (!so->qual_ok)
     238              :     {
     239              :         /* unmatchable array, so give up */
     240            9 :         return;
     241              :     }
     242              : 
     243              :     /*
     244              :      * Treat arrayKeyData[] (a partially preprocessed copy of scan->keyData[])
     245              :      * as our input if _bt_preprocess_array_keys just allocated it, else just
     246              :      * use scan->keyData[]
     247              :      */
     248      8580154 :     if (arrayKeyData)
     249              :     {
     250        35732 :         inkeys = arrayKeyData;
     251              : 
     252              :         /* Also maintain keyDataMap for remapping so->orderProcs[] later */
     253        35732 :         keyDataMap = MemoryContextAlloc(so->arrayContext,
     254              :                                         numberOfKeys * sizeof(int));
     255              : 
     256              :         /*
     257              :          * Also enlarge output array when it might otherwise not have room for
     258              :          * a skip array's scan key
     259              :          */
     260        35732 :         if (numberOfKeys > scan->numberOfKeys)
     261         1927 :             so->keyData = repalloc(so->keyData,
     262              :                                    numberOfKeys * sizeof(ScanKeyData));
     263              :     }
     264              :     else
     265      8544422 :         inkeys = scan->keyData;
     266              : 
     267              :     /* we check that input keys are correctly ordered */
     268      8580154 :     if (inkeys[0].sk_attno < 1)
     269            0 :         elog(ERROR, "btree index keys must be ordered by attribute");
     270              : 
     271              :     /* We can short-circuit most of the work if there's just one key */
     272      8580154 :     if (numberOfKeys == 1)
     273              :     {
     274              :         /* Apply indoption to scankey (might change sk_strategy!) */
     275      4402198 :         if (!_bt_fix_scankey_strategy(&inkeys[0], indoption))
     276          489 :             so->qual_ok = false;
     277      4402198 :         memcpy(&so->keyData[0], &inkeys[0], sizeof(ScanKeyData));
     278      4402198 :         so->numberOfKeys = 1;
     279              :         /* We can mark the qual as required if it's for first index col */
     280      4402198 :         if (inkeys[0].sk_attno == 1)
     281      4402198 :             _bt_mark_scankey_required(&so->keyData[0]);
     282              :         if (arrayKeyData)
     283              :         {
     284              :             /*
     285              :              * Don't call _bt_preprocess_array_keys_final in this fast path
     286              :              * (we'll miss out on the single value array transformation, but
     287              :              * that's not nearly as important when there's only one scan key)
     288              :              */
     289              :             Assert(so->keyData[0].sk_flags & SK_SEARCHARRAY);
     290              :             Assert(so->keyData[0].sk_strategy != BTEqualStrategyNumber ||
     291              :                    (so->arrayKeys[0].scan_key == 0 &&
     292              :                     !(so->keyData[0].sk_flags & SK_BT_SKIP) &&
     293              :                     OidIsValid(so->orderProcs[0].fn_oid)));
     294              :         }
     295              : 
     296      4402198 :         return;
     297              :     }
     298              : 
     299              :     /*
     300              :      * Otherwise, do the full set of pushups.
     301              :      */
     302      4177956 :     new_numberOfKeys = 0;
     303      4177956 :     numberOfEqualCols = 0;
     304              : 
     305              :     /*
     306              :      * Initialize for processing of keys for attr 1.
     307              :      *
     308              :      * xform[i] points to the currently best scan key of strategy type i+1; it
     309              :      * is NULL if we haven't yet found such a key for this attr.
     310              :      */
     311      4177956 :     attno = 1;
     312      4177956 :     memset(xform, 0, sizeof(xform));
     313              : 
     314              :     /*
     315              :      * Loop iterates from 0 to numberOfKeys inclusive; we use the last pass to
     316              :      * handle after-last-key processing.  Actual exit from the loop is at the
     317              :      * "break" statement below.
     318              :      */
     319      4177956 :     for (int i = 0;; i++)
     320      9193149 :     {
     321     13371105 :         ScanKey     inkey = inkeys + i;
     322              :         int         j;
     323              : 
     324     13371105 :         if (i < numberOfKeys)
     325              :         {
     326              :             /* Apply indoption to scankey (might change sk_strategy!) */
     327      9193853 :             if (!_bt_fix_scankey_strategy(inkey, indoption))
     328              :             {
     329              :                 /* NULL can't be matched, so give up */
     330          701 :                 so->qual_ok = false;
     331          701 :                 return;
     332              :             }
     333              :         }
     334              : 
     335              :         /*
     336              :          * If we are at the end of the keys for a particular attr, finish up
     337              :          * processing and emit the cleaned-up keys.
     338              :          */
     339     13370404 :         if (i == numberOfKeys || inkey->sk_attno != attno)
     340              :         {
     341      9191938 :             int         priorNumberOfEqualCols = numberOfEqualCols;
     342              : 
     343              :             /* check input keys are correctly ordered */
     344      9191938 :             if (i < numberOfKeys && inkey->sk_attno < attno)
     345            0 :                 elog(ERROR, "btree index keys must be ordered by attribute");
     346              : 
     347              :             /*
     348              :              * If = has been specified, all other keys can be eliminated as
     349              :              * redundant.  Note that this is no less true if the = key is
     350              :              * SEARCHARRAY; the only real difference is that the inequality
     351              :              * key _becomes_ redundant by making _bt_compare_scankey_args
     352              :              * eliminate the subset of elements that won't need to be matched
     353              :              * (with SAOP arrays and skip arrays alike).
     354              :              *
     355              :              * If we have a case like "key = 1 AND key > 2", we set qual_ok to
     356              :              * false and abandon further processing.  We'll do the same thing
     357              :              * given a case like "key IN (0, 1) AND key > 2".
     358              :              *
     359              :              * We also have to deal with the case of "key IS NULL", which is
     360              :              * unsatisfiable in combination with any other index condition. By
     361              :              * the time we get here, that's been classified as an equality
     362              :              * check, and we've rejected any combination of it with a regular
     363              :              * equality condition; but not with other types of conditions.
     364              :              */
     365      9191938 :             if (xform[BTEqualStrategyNumber - 1].inkey)
     366              :             {
     367      8322614 :                 ScanKey     eq = xform[BTEqualStrategyNumber - 1].inkey;
     368      8322614 :                 BTArrayKeyInfo *array = NULL;
     369      8322614 :                 FmgrInfo   *orderproc = NULL;
     370              : 
     371      8322614 :                 if (arrayKeyData && (eq->sk_flags & SK_SEARCHARRAY))
     372              :                 {
     373              :                     int         eq_in_ikey,
     374              :                                 eq_arrayidx;
     375              : 
     376         2504 :                     eq_in_ikey = xform[BTEqualStrategyNumber - 1].inkeyi;
     377         2504 :                     eq_arrayidx = xform[BTEqualStrategyNumber - 1].arrayidx;
     378         2504 :                     array = &so->arrayKeys[eq_arrayidx - 1];
     379         2504 :                     orderproc = so->orderProcs + eq_in_ikey;
     380              : 
     381              :                     Assert(array->scan_key == eq_in_ikey);
     382              :                     Assert(OidIsValid(orderproc->fn_oid));
     383              :                 }
     384              : 
     385     49935606 :                 for (j = BTMaxStrategyNumber; --j >= 0;)
     386              :                 {
     387     41613010 :                     ScanKey     chk = xform[j].inkey;
     388              : 
     389     41613010 :                     if (!chk || j == (BTEqualStrategyNumber - 1))
     390     41612763 :                         continue;
     391              : 
     392          247 :                     if (eq->sk_flags & SK_SEARCHNULL)
     393              :                     {
     394              :                         /* IS NULL is contradictory to anything else */
     395           12 :                         so->qual_ok = false;
     396           12 :                         return;
     397              :                     }
     398              : 
     399          235 :                     if (_bt_compare_scankey_args(scan, chk, eq, chk,
     400              :                                                  array, orderproc,
     401              :                                                  &test_result))
     402              :                     {
     403          232 :                         if (!test_result)
     404              :                         {
     405              :                             /* keys proven mutually contradictory */
     406            6 :                             so->qual_ok = false;
     407            6 :                             return;
     408              :                         }
     409              :                         /* else discard the redundant non-equality key */
     410          226 :                         xform[j].inkey = NULL;
     411          226 :                         xform[j].inkeyi = -1;
     412              :                     }
     413              :                     else
     414            3 :                         redundant_key_kept = true;
     415              :                 }
     416              :                 /* track number of attrs for which we have "=" keys */
     417      8322596 :                 numberOfEqualCols++;
     418              :             }
     419              : 
     420              :             /* try to keep only one of <, <= */
     421      9191920 :             if (xform[BTLessStrategyNumber - 1].inkey &&
     422          955 :                 xform[BTLessEqualStrategyNumber - 1].inkey)
     423              :             {
     424            3 :                 ScanKey     lt = xform[BTLessStrategyNumber - 1].inkey;
     425            3 :                 ScanKey     le = xform[BTLessEqualStrategyNumber - 1].inkey;
     426              : 
     427            3 :                 if (_bt_compare_scankey_args(scan, le, lt, le, NULL, NULL,
     428              :                                              &test_result))
     429              :                 {
     430            3 :                     if (test_result)
     431            3 :                         xform[BTLessEqualStrategyNumber - 1].inkey = NULL;
     432              :                     else
     433            0 :                         xform[BTLessStrategyNumber - 1].inkey = NULL;
     434              :                 }
     435              :                 else
     436            0 :                     redundant_key_kept = true;
     437              :             }
     438              : 
     439              :             /* try to keep only one of >, >= */
     440      9191920 :             if (xform[BTGreaterStrategyNumber - 1].inkey &&
     441       867153 :                 xform[BTGreaterEqualStrategyNumber - 1].inkey)
     442              :             {
     443            3 :                 ScanKey     gt = xform[BTGreaterStrategyNumber - 1].inkey;
     444            3 :                 ScanKey     ge = xform[BTGreaterEqualStrategyNumber - 1].inkey;
     445              : 
     446            3 :                 if (_bt_compare_scankey_args(scan, ge, gt, ge, NULL, NULL,
     447              :                                              &test_result))
     448              :                 {
     449            3 :                     if (test_result)
     450            0 :                         xform[BTGreaterEqualStrategyNumber - 1].inkey = NULL;
     451              :                     else
     452            3 :                         xform[BTGreaterStrategyNumber - 1].inkey = NULL;
     453              :                 }
     454              :                 else
     455            0 :                     redundant_key_kept = true;
     456              :             }
     457              : 
     458              :             /*
     459              :              * Emit the cleaned-up keys into the so->keyData[] array, and then
     460              :              * mark them if they are required.  They are required (possibly
     461              :              * only in one direction) if all attrs before this one had "=".
     462              :              *
     463              :              * In practice we'll rarely output non-required scan keys here;
     464              :              * typically, _bt_preprocess_array_keys has already added "=" keys
     465              :              * sufficient to form an unbroken series of "=" constraints on all
     466              :              * attrs prior to the attr from the final scan->keyData[] key.
     467              :              */
     468     55151520 :             for (j = BTMaxStrategyNumber; --j >= 0;)
     469              :             {
     470     45959600 :                 if (xform[j].inkey)
     471              :                 {
     472      9192839 :                     ScanKey     outkey = &so->keyData[new_numberOfKeys++];
     473              : 
     474      9192839 :                     memcpy(outkey, xform[j].inkey, sizeof(ScanKeyData));
     475      9192839 :                     if (arrayKeyData)
     476         4860 :                         keyDataMap[new_numberOfKeys - 1] = xform[j].inkeyi;
     477      9192839 :                     if (priorNumberOfEqualCols == attno - 1)
     478      9192839 :                         _bt_mark_scankey_required(outkey);
     479              :                 }
     480              :             }
     481              : 
     482              :             /*
     483              :              * Exit loop here if done.
     484              :              */
     485      9191920 :             if (i == numberOfKeys)
     486      4177234 :                 break;
     487              : 
     488              :             /* Re-initialize for new attno */
     489      5014686 :             attno = inkey->sk_attno;
     490      5014686 :             memset(xform, 0, sizeof(xform));
     491              :         }
     492              : 
     493              :         /* check strategy this key's operator corresponds to */
     494      9193152 :         j = inkey->sk_strategy - 1;
     495              : 
     496      9193152 :         if (inkey->sk_strategy == BTEqualStrategyNumber &&
     497      8322638 :             (inkey->sk_flags & SK_SEARCHARRAY))
     498              :         {
     499              :             /* must track how input scan keys map to arrays */
     500              :             Assert(arrayKeyData);
     501         2507 :             arrayidx++;
     502              :         }
     503              : 
     504              :         /*
     505              :          * have we seen a scan key for this same attribute and using this same
     506              :          * operator strategy before now?
     507              :          */
     508      9193152 :         if (xform[j].inkey == NULL)
     509              :         {
     510              :             /* nope, so this scan key wins by default (at least for now) */
     511      9193119 :             xform[j].inkey = inkey;
     512      9193119 :             xform[j].inkeyi = i;
     513      9193119 :             xform[j].arrayidx = arrayidx;
     514              :         }
     515              :         else
     516              :         {
     517           33 :             FmgrInfo   *orderproc = NULL;
     518           33 :             BTArrayKeyInfo *array = NULL;
     519              : 
     520              :             /*
     521              :              * Seen one of these before, so keep only the more restrictive key
     522              :              * if possible
     523              :              */
     524           33 :             if (j == (BTEqualStrategyNumber - 1) && arrayKeyData)
     525              :             {
     526              :                 /*
     527              :                  * Have to set up array keys
     528              :                  */
     529            9 :                 if (inkey->sk_flags & SK_SEARCHARRAY)
     530              :                 {
     531            0 :                     array = &so->arrayKeys[arrayidx - 1];
     532            0 :                     orderproc = so->orderProcs + i;
     533              : 
     534              :                     Assert(array->scan_key == i);
     535              :                     Assert(OidIsValid(orderproc->fn_oid));
     536              :                     Assert(!(inkey->sk_flags & SK_BT_SKIP));
     537              :                 }
     538            9 :                 else if (xform[j].inkey->sk_flags & SK_SEARCHARRAY)
     539              :                 {
     540            6 :                     array = &so->arrayKeys[xform[j].arrayidx - 1];
     541            6 :                     orderproc = so->orderProcs + xform[j].inkeyi;
     542              : 
     543              :                     Assert(array->scan_key == xform[j].inkeyi);
     544              :                     Assert(OidIsValid(orderproc->fn_oid));
     545              :                     Assert(!(xform[j].inkey->sk_flags & SK_BT_SKIP));
     546              :                 }
     547              : 
     548              :                 /*
     549              :                  * Both scan keys might have arrays, in which case we'll
     550              :                  * arbitrarily pass only one of the arrays.  That won't
     551              :                  * matter, since _bt_compare_scankey_args is aware that two
     552              :                  * SEARCHARRAY scan keys mean that _bt_preprocess_array_keys
     553              :                  * failed to eliminate redundant arrays through array merging.
     554              :                  * _bt_compare_scankey_args just returns false when it sees
     555              :                  * this; it won't even try to examine either array.
     556              :                  */
     557              :             }
     558              : 
     559           33 :             if (_bt_compare_scankey_args(scan, inkey, inkey, xform[j].inkey,
     560              :                                          array, orderproc, &test_result))
     561              :             {
     562              :                 /* Have all we need to determine redundancy */
     563           33 :                 if (test_result)
     564              :                 {
     565              :                     /*
     566              :                      * New key is more restrictive, and so replaces old key...
     567              :                      */
     568           27 :                     if (j != (BTEqualStrategyNumber - 1) ||
     569            9 :                         !(xform[j].inkey->sk_flags & SK_SEARCHARRAY))
     570              :                     {
     571           24 :                         xform[j].inkey = inkey;
     572           24 :                         xform[j].inkeyi = i;
     573           24 :                         xform[j].arrayidx = arrayidx;
     574              :                     }
     575              :                     else
     576              :                     {
     577              :                         /*
     578              :                          * ...unless we have to keep the old key because it's
     579              :                          * an array that rendered the new key redundant.  We
     580              :                          * need to make sure that we don't throw away an array
     581              :                          * scan key.  _bt_preprocess_array_keys_final expects
     582              :                          * us to keep all of the arrays that weren't already
     583              :                          * eliminated by _bt_preprocess_array_keys earlier on.
     584              :                          */
     585              :                         Assert(!(inkey->sk_flags & SK_SEARCHARRAY));
     586              :                     }
     587              :                 }
     588            6 :                 else if (j == (BTEqualStrategyNumber - 1))
     589              :                 {
     590              :                     /* key == a && key == b, but a != b */
     591            3 :                     so->qual_ok = false;
     592            3 :                     return;
     593              :                 }
     594              :                 /* else old key is more restrictive, keep it */
     595              :             }
     596              :             else
     597              :             {
     598              :                 /*
     599              :                  * We can't determine which key is more restrictive.  Push
     600              :                  * xform[j] directly to the output array, then set xform[j] to
     601              :                  * the new scan key.
     602              :                  *
     603              :                  * Note: We do things this way around so that our arrays are
     604              :                  * always in the same order as their corresponding scan keys.
     605              :                  * _bt_preprocess_array_keys_final expects this.
     606              :                  */
     607            0 :                 ScanKey     outkey = &so->keyData[new_numberOfKeys++];
     608              : 
     609            0 :                 memcpy(outkey, xform[j].inkey, sizeof(ScanKeyData));
     610            0 :                 if (arrayKeyData)
     611            0 :                     keyDataMap[new_numberOfKeys - 1] = xform[j].inkeyi;
     612            0 :                 if (numberOfEqualCols == attno - 1)
     613            0 :                     _bt_mark_scankey_required(outkey);
     614            0 :                 xform[j].inkey = inkey;
     615            0 :                 xform[j].inkeyi = i;
     616            0 :                 xform[j].arrayidx = arrayidx;
     617            0 :                 redundant_key_kept = true;
     618              :             }
     619              :         }
     620              :     }
     621              : 
     622      4177234 :     so->numberOfKeys = new_numberOfKeys;
     623              : 
     624              :     /*
     625              :      * Now that we've built a temporary mapping from so->keyData[] (output
     626              :      * scan keys) to arrayKeyData[] (our input scan keys), fix array->scan_key
     627              :      * references.  Also consolidate the so->orderProcs[] array such that it
     628              :      * can be subscripted using so->keyData[]-wise offsets.
     629              :      */
     630      4177234 :     if (arrayKeyData)
     631         2196 :         _bt_preprocess_array_keys_final(scan, keyDataMap);
     632              : 
     633              :     /*
     634              :      * If there are remaining redundant inequality keys, we must make sure
     635              :      * that each index attribute has no more than one required >/>= key, and
     636              :      * no more than one required </<= key.  Attributes that have one or more
     637              :      * required = keys now must keep only one required key (the first = key).
     638              :      */
     639      4177234 :     if (unlikely(redundant_key_kept) && so->qual_ok)
     640            3 :         _bt_unmark_keys(scan, keyDataMap);
     641              : 
     642              :     /* Could pfree arrayKeyData/keyDataMap now, but not worth the cycles */
     643              : }
     644              : 
     645              : /*
     646              :  * Adjust a scankey's strategy and flags setting as needed for indoptions.
     647              :  *
     648              :  * We copy the appropriate indoption value into the scankey sk_flags
     649              :  * (shifting to avoid clobbering system-defined flag bits).  Also, if
     650              :  * the DESC option is set, commute (flip) the operator strategy number.
     651              :  *
     652              :  * A secondary purpose is to check for IS NULL/NOT NULL scankeys and set up
     653              :  * the strategy field correctly for them.
     654              :  *
     655              :  * Lastly, for ordinary scankeys (not IS NULL/NOT NULL), we check for a
     656              :  * NULL comparison value.  Since all btree operators are assumed strict,
     657              :  * a NULL means that the qual cannot be satisfied.  We return true if the
     658              :  * comparison value isn't NULL, or false if the scan should be abandoned.
     659              :  *
     660              :  * This function is applied to the *input* scankey structure; therefore
     661              :  * on a rescan we will be looking at already-processed scankeys.  Hence
     662              :  * we have to be careful not to re-commute the strategy if we already did it.
     663              :  * It's a bit ugly to modify the caller's copy of the scankey but in practice
     664              :  * there shouldn't be any problem, since the index's indoptions are certainly
     665              :  * not going to change while the scankey survives.
     666              :  */
     667              : static bool
     668     13596051 : _bt_fix_scankey_strategy(ScanKey skey, int16 *indoption)
     669              : {
     670              :     int         addflags;
     671              : 
     672     13596051 :     addflags = indoption[skey->sk_attno - 1] << SK_BT_INDOPTION_SHIFT;
     673              : 
     674              :     /*
     675              :      * We treat all btree operators as strict (even if they're not so marked
     676              :      * in pg_proc). This means that it is impossible for an operator condition
     677              :      * with a NULL comparison constant to succeed, and we can reject it right
     678              :      * away.
     679              :      *
     680              :      * However, we now also support "x IS NULL" clauses as search conditions,
     681              :      * so in that case keep going. The planner has not filled in any
     682              :      * particular strategy in this case, so set it to BTEqualStrategyNumber
     683              :      * --- we can treat IS NULL as an equality operator for purposes of search
     684              :      * strategy.
     685              :      *
     686              :      * Likewise, "x IS NOT NULL" is supported.  We treat that as either "less
     687              :      * than NULL" in a NULLS LAST index, or "greater than NULL" in a NULLS
     688              :      * FIRST index.
     689              :      *
     690              :      * Note: someday we might have to fill in sk_collation from the index
     691              :      * column's collation.  At the moment this is a non-issue because we'll
     692              :      * never actually call the comparison operator on a NULL.
     693              :      */
     694     13596051 :     if (skey->sk_flags & SK_ISNULL)
     695              :     {
     696              :         /* SK_ISNULL shouldn't be set in a row header scankey */
     697              :         Assert(!(skey->sk_flags & SK_ROW_HEADER));
     698              : 
     699              :         /* Set indoption flags in scankey (might be done already) */
     700        69435 :         skey->sk_flags |= addflags;
     701              : 
     702              :         /* Set correct strategy for IS NULL or NOT NULL search */
     703        69435 :         if (skey->sk_flags & SK_SEARCHNULL)
     704              :         {
     705           76 :             skey->sk_strategy = BTEqualStrategyNumber;
     706           76 :             skey->sk_subtype = InvalidOid;
     707           76 :             skey->sk_collation = InvalidOid;
     708              :         }
     709        69359 :         else if (skey->sk_flags & SK_SEARCHNOTNULL)
     710              :         {
     711        68172 :             if (skey->sk_flags & SK_BT_NULLS_FIRST)
     712           18 :                 skey->sk_strategy = BTGreaterStrategyNumber;
     713              :             else
     714        68154 :                 skey->sk_strategy = BTLessStrategyNumber;
     715        68172 :             skey->sk_subtype = InvalidOid;
     716        68172 :             skey->sk_collation = InvalidOid;
     717              :         }
     718              :         else
     719              :         {
     720              :             /* regular qual, so it cannot be satisfied */
     721         1187 :             return false;
     722              :         }
     723              : 
     724              :         /* Needn't do the rest */
     725        68248 :         return true;
     726              :     }
     727              : 
     728              :     /* Adjust strategy for DESC, if we didn't already */
     729     13526616 :     if ((addflags & SK_BT_DESC) && !(skey->sk_flags & SK_BT_DESC))
     730           39 :         skey->sk_strategy = BTCommuteStrategyNumber(skey->sk_strategy);
     731     13526616 :     skey->sk_flags |= addflags;
     732              : 
     733              :     /* If it's a row header, fix row member flags and strategies similarly */
     734     13526616 :     if (skey->sk_flags & SK_ROW_HEADER)
     735              :     {
     736           42 :         ScanKey     subkey = (ScanKey) DatumGetPointer(skey->sk_argument);
     737              : 
     738           42 :         if (subkey->sk_flags & SK_ISNULL)
     739              :         {
     740              :             /* First row member is NULL, so RowCompare is unsatisfiable */
     741              :             Assert(subkey->sk_flags & SK_ROW_MEMBER);
     742            3 :             return false;
     743              :         }
     744              : 
     745              :         for (;;)
     746              :         {
     747           39 :             Assert(subkey->sk_flags & SK_ROW_MEMBER);
     748           78 :             addflags = indoption[subkey->sk_attno - 1] << SK_BT_INDOPTION_SHIFT;
     749           78 :             if ((addflags & SK_BT_DESC) && !(subkey->sk_flags & SK_BT_DESC))
     750            0 :                 subkey->sk_strategy = BTCommuteStrategyNumber(subkey->sk_strategy);
     751           78 :             subkey->sk_flags |= addflags;
     752           78 :             if (subkey->sk_flags & SK_ROW_END)
     753           39 :                 break;
     754           39 :             subkey++;
     755              :         }
     756              :     }
     757              : 
     758     13526613 :     return true;
     759              : }
     760              : 
     761              : /*
     762              :  * Mark a scankey as "required to continue the scan".
     763              :  *
     764              :  * Depending on the operator type, the key may be required for both scan
     765              :  * directions or just one.  Also, if the key is a row comparison header,
     766              :  * we have to mark the appropriate subsidiary ScanKeys as required.  In such
     767              :  * cases, the first subsidiary key is required, but subsequent ones are
     768              :  * required only as long as they correspond to successive index columns and
     769              :  * match the leading column as to sort direction.  Otherwise the row
     770              :  * comparison ordering is different from the index ordering and so we can't
     771              :  * stop the scan on the basis of those lower-order columns.
     772              :  *
     773              :  * Note: when we set required-key flag bits in a subsidiary scankey, we are
     774              :  * scribbling on a data structure belonging to the index AM's caller, not on
     775              :  * our private copy.  This should be OK because the marking will not change
     776              :  * from scan to scan within a query, and so we'd just re-mark the same way
     777              :  * anyway on a rescan.  Something to keep an eye on though.
     778              :  */
     779              : static void
     780     13595037 : _bt_mark_scankey_required(ScanKey skey)
     781              : {
     782              :     int         addflags;
     783              : 
     784     13595037 :     switch (skey->sk_strategy)
     785              :     {
     786        69617 :         case BTLessStrategyNumber:
     787              :         case BTLessEqualStrategyNumber:
     788        69617 :             addflags = SK_BT_REQFWD;
     789        69617 :             break;
     790     12652646 :         case BTEqualStrategyNumber:
     791     12652646 :             addflags = SK_BT_REQFWD | SK_BT_REQBKWD;
     792     12652646 :             break;
     793       872774 :         case BTGreaterEqualStrategyNumber:
     794              :         case BTGreaterStrategyNumber:
     795       872774 :             addflags = SK_BT_REQBKWD;
     796       872774 :             break;
     797            0 :         default:
     798            0 :             elog(ERROR, "unrecognized StrategyNumber: %d",
     799              :                  (int) skey->sk_strategy);
     800              :             addflags = 0;       /* keep compiler quiet */
     801              :             break;
     802              :     }
     803              : 
     804     13595037 :     skey->sk_flags |= addflags;
     805              : 
     806     13595037 :     if (skey->sk_flags & SK_ROW_HEADER)
     807              :     {
     808           42 :         ScanKey     subkey = (ScanKey) DatumGetPointer(skey->sk_argument);
     809           42 :         AttrNumber  attno = skey->sk_attno;
     810              : 
     811              :         /* First subkey should be same column/operator as the header */
     812              :         Assert(subkey->sk_attno == attno);
     813              :         Assert(subkey->sk_strategy == skey->sk_strategy);
     814              : 
     815              :         for (;;)
     816              :         {
     817           42 :             Assert(subkey->sk_flags & SK_ROW_MEMBER);
     818           84 :             if (subkey->sk_attno != attno)
     819            6 :                 break;          /* non-adjacent key, so not required */
     820           78 :             if (subkey->sk_strategy != skey->sk_strategy)
     821            0 :                 break;          /* wrong direction, so not required */
     822           78 :             subkey->sk_flags |= addflags;
     823           78 :             if (subkey->sk_flags & SK_ROW_END)
     824           36 :                 break;
     825           42 :             subkey++;
     826           42 :             attno++;
     827              :         }
     828              :     }
     829     13595037 : }
     830              : 
     831              : /*
     832              :  * Compare two scankey values using a specified operator.
     833              :  *
     834              :  * The test we want to perform is logically "leftarg op rightarg", where
     835              :  * leftarg and rightarg are the sk_argument values in those ScanKeys, and
     836              :  * the comparison operator is the one in the op ScanKey.  However, in
     837              :  * cross-data-type situations we may need to look up the correct operator in
     838              :  * the index's opfamily: it is the one having amopstrategy = op->sk_strategy
     839              :  * and amoplefttype/amoprighttype equal to the two argument datatypes.
     840              :  *
     841              :  * If the opfamily doesn't supply a complete set of cross-type operators we
     842              :  * may not be able to make the comparison.  If we can make the comparison
     843              :  * we store the operator result in *result and return true.  We return false
     844              :  * if the comparison could not be made.
     845              :  *
     846              :  * If either leftarg or rightarg are an array, we'll apply array-specific
     847              :  * rules to determine which array elements are redundant on behalf of caller.
     848              :  * It is up to our caller to save whichever of the two scan keys is the array,
     849              :  * and discard the non-array scan key (the non-array scan key is guaranteed to
     850              :  * be redundant with any complete opfamily).  Caller isn't expected to call
     851              :  * here with a pair of array scan keys provided we're dealing with a complete
     852              :  * opfamily (_bt_preprocess_array_keys will merge array keys together to make
     853              :  * sure of that).
     854              :  *
     855              :  * Note: we'll also shrink caller's array as needed to eliminate redundant
     856              :  * array elements.  One reason why caller should prefer to discard non-array
     857              :  * scan keys is so that we'll have the opportunity to shrink the array
     858              :  * multiple times, in multiple calls (for each of several other scan keys on
     859              :  * the same index attribute).
     860              :  *
     861              :  * Note: op always points at the same ScanKey as either leftarg or rightarg.
     862              :  * Since we don't scribble on the scankeys themselves, this aliasing should
     863              :  * cause no trouble.
     864              :  *
     865              :  * Note: this routine needs to be insensitive to any DESC option applied
     866              :  * to the index column.  For example, "x < 4" is a tighter constraint than
     867              :  * "x < 5" regardless of which way the index is sorted.
     868              :  */
     869              : static bool
     870          280 : _bt_compare_scankey_args(IndexScanDesc scan, ScanKey op,
     871              :                          ScanKey leftarg, ScanKey rightarg,
     872              :                          BTArrayKeyInfo *array, FmgrInfo *orderproc,
     873              :                          bool *result)
     874              : {
     875          280 :     Relation    rel = scan->indexRelation;
     876              :     Oid         lefttype,
     877              :                 righttype,
     878              :                 optype,
     879              :                 opcintype,
     880              :                 cmp_op;
     881              :     StrategyNumber strat;
     882              : 
     883              :     Assert(!((leftarg->sk_flags | rightarg->sk_flags) & SK_ROW_MEMBER));
     884              : 
     885              :     /*
     886              :      * First, deal with cases where one or both args are NULL.  This should
     887              :      * only happen when the scankeys represent IS NULL/NOT NULL conditions.
     888              :      */
     889          280 :     if ((leftarg->sk_flags | rightarg->sk_flags) & SK_ISNULL)
     890              :     {
     891              :         bool        leftnull,
     892              :                     rightnull;
     893              : 
     894              :         /* Handle skip array comparison with IS NOT NULL scan key */
     895           87 :         if ((leftarg->sk_flags | rightarg->sk_flags) & SK_BT_SKIP)
     896              :         {
     897              :             /* Shouldn't generate skip array in presence of IS NULL key */
     898              :             Assert(!((leftarg->sk_flags | rightarg->sk_flags) & SK_SEARCHNULL));
     899              :             Assert((leftarg->sk_flags | rightarg->sk_flags) & SK_SEARCHNOTNULL);
     900              : 
     901              :             /* Skip array will have no NULL element/IS NULL scan key */
     902              :             Assert(array->num_elems == -1);
     903           18 :             array->null_elem = false;
     904              : 
     905              :             /* IS NOT NULL key (could be leftarg or rightarg) now redundant */
     906           18 :             *result = true;
     907           18 :             return true;
     908              :         }
     909              : 
     910           69 :         if (leftarg->sk_flags & SK_ISNULL)
     911              :         {
     912              :             Assert(leftarg->sk_flags & (SK_SEARCHNULL | SK_SEARCHNOTNULL));
     913            3 :             leftnull = true;
     914              :         }
     915              :         else
     916           66 :             leftnull = false;
     917           69 :         if (rightarg->sk_flags & SK_ISNULL)
     918              :         {
     919              :             Assert(rightarg->sk_flags & (SK_SEARCHNULL | SK_SEARCHNOTNULL));
     920           69 :             rightnull = true;
     921              :         }
     922              :         else
     923            0 :             rightnull = false;
     924              : 
     925              :         /*
     926              :          * We treat NULL as either greater than or less than all other values.
     927              :          * Since true > false, the tests below work correctly for NULLS LAST
     928              :          * logic.  If the index is NULLS FIRST, we need to flip the strategy.
     929              :          */
     930           69 :         strat = op->sk_strategy;
     931           69 :         if (op->sk_flags & SK_BT_NULLS_FIRST)
     932            0 :             strat = BTCommuteStrategyNumber(strat);
     933              : 
     934           69 :         switch (strat)
     935              :         {
     936           66 :             case BTLessStrategyNumber:
     937           66 :                 *result = (leftnull < rightnull);
     938           66 :                 break;
     939            0 :             case BTLessEqualStrategyNumber:
     940            0 :                 *result = (leftnull <= rightnull);
     941            0 :                 break;
     942            3 :             case BTEqualStrategyNumber:
     943            3 :                 *result = (leftnull == rightnull);
     944            3 :                 break;
     945            0 :             case BTGreaterEqualStrategyNumber:
     946            0 :                 *result = (leftnull >= rightnull);
     947            0 :                 break;
     948            0 :             case BTGreaterStrategyNumber:
     949            0 :                 *result = (leftnull > rightnull);
     950            0 :                 break;
     951            0 :             default:
     952            0 :                 elog(ERROR, "unrecognized StrategyNumber: %d", (int) strat);
     953              :                 *result = false;    /* keep compiler quiet */
     954              :                 break;
     955              :         }
     956           69 :         return true;
     957              :     }
     958              : 
     959              :     /*
     960              :      * We don't yet know how to determine redundancy when it involves a row
     961              :      * compare key (barring simple cases involving IS NULL/IS NOT NULL)
     962              :      */
     963          193 :     if ((leftarg->sk_flags | rightarg->sk_flags) & SK_ROW_HEADER)
     964              :     {
     965              :         Assert(!((leftarg->sk_flags | rightarg->sk_flags) & SK_BT_SKIP));
     966            3 :         return false;
     967              :     }
     968              : 
     969              :     /*
     970              :      * If either leftarg or rightarg are equality-type array scankeys, we need
     971              :      * specialized handling (since by now we know that IS NULL wasn't used)
     972              :      */
     973          190 :     if (array)
     974              :     {
     975              :         bool        leftarray,
     976              :                     rightarray;
     977              : 
     978          246 :         leftarray = ((leftarg->sk_flags & SK_SEARCHARRAY) &&
     979          120 :                      leftarg->sk_strategy == BTEqualStrategyNumber);
     980          132 :         rightarray = ((rightarg->sk_flags & SK_SEARCHARRAY) &&
     981            6 :                       rightarg->sk_strategy == BTEqualStrategyNumber);
     982              : 
     983              :         /*
     984              :          * _bt_preprocess_array_keys is responsible for merging together array
     985              :          * scan keys, and will do so whenever the opfamily has the required
     986              :          * cross-type support.  If it failed to do that, we handle it just
     987              :          * like the case where we can't make the comparison ourselves.
     988              :          */
     989          126 :         if (leftarray && rightarray)
     990              :         {
     991              :             /* Can't make the comparison */
     992            0 :             *result = false;    /* suppress compiler warnings */
     993              :             Assert(!((leftarg->sk_flags | rightarg->sk_flags) & SK_BT_SKIP));
     994            0 :             return false;
     995              :         }
     996              : 
     997              :         /*
     998              :          * Otherwise we need to determine if either one of leftarg or rightarg
     999              :          * uses an array, then pass this through to a dedicated helper
    1000              :          * function.
    1001              :          */
    1002          126 :         if (leftarray)
    1003          120 :             return _bt_compare_array_scankey_args(scan, leftarg, rightarg,
    1004              :                                                   orderproc, array, result);
    1005            6 :         else if (rightarray)
    1006            6 :             return _bt_compare_array_scankey_args(scan, rightarg, leftarg,
    1007              :                                                   orderproc, array, result);
    1008              : 
    1009              :         /* FALL THRU */
    1010              :     }
    1011              : 
    1012              :     /*
    1013              :      * The opfamily we need to worry about is identified by the index column.
    1014              :      */
    1015              :     Assert(leftarg->sk_attno == rightarg->sk_attno);
    1016              : 
    1017           64 :     opcintype = rel->rd_opcintype[leftarg->sk_attno - 1];
    1018              : 
    1019              :     /*
    1020              :      * Determine the actual datatypes of the ScanKey arguments.  We have to
    1021              :      * support the convention that sk_subtype == InvalidOid means the opclass
    1022              :      * input type; this is a hack to simplify life for ScanKeyInit().
    1023              :      */
    1024           64 :     lefttype = leftarg->sk_subtype;
    1025           64 :     if (lefttype == InvalidOid)
    1026            0 :         lefttype = opcintype;
    1027           64 :     righttype = rightarg->sk_subtype;
    1028           64 :     if (righttype == InvalidOid)
    1029            0 :         righttype = opcintype;
    1030           64 :     optype = op->sk_subtype;
    1031           64 :     if (optype == InvalidOid)
    1032            0 :         optype = opcintype;
    1033              : 
    1034              :     /*
    1035              :      * If leftarg and rightarg match the types expected for the "op" scankey,
    1036              :      * we can use its already-looked-up comparison function.
    1037              :      */
    1038           64 :     if (lefttype == opcintype && righttype == optype)
    1039              :     {
    1040           61 :         *result = DatumGetBool(FunctionCall2Coll(&op->sk_func,
    1041              :                                                  op->sk_collation,
    1042              :                                                  leftarg->sk_argument,
    1043              :                                                  rightarg->sk_argument));
    1044           61 :         return true;
    1045              :     }
    1046              : 
    1047              :     /*
    1048              :      * Otherwise, we need to go to the syscache to find the appropriate
    1049              :      * operator.  (This cannot result in infinite recursion, since no
    1050              :      * indexscan initiated by syscache lookup will use cross-data-type
    1051              :      * operators.)
    1052              :      *
    1053              :      * If the sk_strategy was flipped by _bt_fix_scankey_strategy, we have to
    1054              :      * un-flip it to get the correct opfamily member.
    1055              :      */
    1056            3 :     strat = op->sk_strategy;
    1057            3 :     if (op->sk_flags & SK_BT_DESC)
    1058            0 :         strat = BTCommuteStrategyNumber(strat);
    1059              : 
    1060            3 :     cmp_op = get_opfamily_member(rel->rd_opfamily[leftarg->sk_attno - 1],
    1061              :                                  lefttype,
    1062              :                                  righttype,
    1063              :                                  strat);
    1064            3 :     if (OidIsValid(cmp_op))
    1065              :     {
    1066            3 :         RegProcedure cmp_proc = get_opcode(cmp_op);
    1067              : 
    1068            3 :         if (RegProcedureIsValid(cmp_proc))
    1069              :         {
    1070            3 :             *result = DatumGetBool(OidFunctionCall2Coll(cmp_proc,
    1071              :                                                         op->sk_collation,
    1072              :                                                         leftarg->sk_argument,
    1073              :                                                         rightarg->sk_argument));
    1074            3 :             return true;
    1075              :         }
    1076              :     }
    1077              : 
    1078              :     /* Can't make the comparison */
    1079            0 :     *result = false;            /* suppress compiler warnings */
    1080            0 :     return false;
    1081              : }
    1082              : 
    1083              : /*
    1084              :  * Compare an array scan key to a scalar scan key, eliminating contradictory
    1085              :  * array elements such that the scalar scan key becomes redundant.
    1086              :  *
    1087              :  * If the opfamily is incomplete we may not be able to determine which
    1088              :  * elements are contradictory.  When we return true we'll have validly set
    1089              :  * *qual_ok, guaranteeing that at least the scalar scan key can be considered
    1090              :  * redundant.  We return false if the comparison could not be made (caller
    1091              :  * must keep both scan keys when this happens).
    1092              :  *
    1093              :  * Note: it's up to caller to deal with IS [NOT] NULL scan keys, as well as
    1094              :  * row comparison scan keys.  We only deal with scalar scan keys.
    1095              :  */
    1096              : static bool
    1097          126 : _bt_compare_array_scankey_args(IndexScanDesc scan, ScanKey arraysk, ScanKey skey,
    1098              :                                FmgrInfo *orderproc, BTArrayKeyInfo *array,
    1099              :                                bool *qual_ok)
    1100              : {
    1101              :     Assert(arraysk->sk_attno == skey->sk_attno);
    1102              :     Assert(!(arraysk->sk_flags & (SK_ISNULL | SK_ROW_HEADER | SK_ROW_MEMBER)));
    1103              :     Assert((arraysk->sk_flags & SK_SEARCHARRAY) &&
    1104              :            arraysk->sk_strategy == BTEqualStrategyNumber);
    1105              :     /* don't expect to have to deal with NULLs/row comparison scan keys */
    1106              :     Assert(!(skey->sk_flags & (SK_ISNULL | SK_ROW_HEADER | SK_ROW_MEMBER)));
    1107              :     Assert(!(skey->sk_flags & SK_SEARCHARRAY) ||
    1108              :            skey->sk_strategy != BTEqualStrategyNumber);
    1109              : 
    1110              :     /*
    1111              :      * Just call the appropriate helper function based on whether it's a SAOP
    1112              :      * array or a skip array.  Both helpers will set *qual_ok in passing.
    1113              :      */
    1114          126 :     if (array->num_elems != -1)
    1115           15 :         return _bt_saoparray_shrink(scan, arraysk, skey, orderproc, array,
    1116              :                                     qual_ok);
    1117              :     else
    1118          111 :         return _bt_skiparray_shrink(scan, skey, array, qual_ok);
    1119              : }
    1120              : 
    1121              : /*
    1122              :  * Preprocessing of SAOP array scan key, used to determine which array
    1123              :  * elements are eliminated as contradictory by a non-array scalar key.
    1124              :  *
    1125              :  * _bt_compare_array_scankey_args helper function.
    1126              :  *
    1127              :  * Array elements can be eliminated as contradictory when excluded by some
    1128              :  * other operator on the same attribute.  For example, with an index scan qual
    1129              :  * "WHERE a IN (1, 2, 3) AND a < 2", all array elements except the value "1"
    1130              :  * are eliminated, and the < scan key is eliminated as redundant.  Cases where
    1131              :  * every array element is eliminated by a redundant scalar scan key have an
    1132              :  * unsatisfiable qual, which we handle by setting *qual_ok=false for caller.
    1133              :  */
    1134              : static bool
    1135           15 : _bt_saoparray_shrink(IndexScanDesc scan, ScanKey arraysk, ScanKey skey,
    1136              :                      FmgrInfo *orderproc, BTArrayKeyInfo *array, bool *qual_ok)
    1137              : {
    1138           15 :     Relation    rel = scan->indexRelation;
    1139           15 :     Oid         opcintype = rel->rd_opcintype[arraysk->sk_attno - 1];
    1140           15 :     int         cmpresult = 0,
    1141           15 :                 cmpexact = 0,
    1142              :                 matchelem,
    1143           15 :                 new_nelems = 0;
    1144              :     FmgrInfo    crosstypeproc;
    1145           15 :     FmgrInfo   *orderprocp = orderproc;
    1146              : 
    1147              :     Assert(array->num_elems > 0);
    1148              :     Assert(!(arraysk->sk_flags & SK_BT_SKIP));
    1149              : 
    1150              :     /*
    1151              :      * _bt_binsrch_array_skey searches an array for the entry best matching a
    1152              :      * datum of opclass input type for the index's attribute (on-disk type).
    1153              :      * We can reuse the array's ORDER proc whenever the non-array scan key's
    1154              :      * type is a match for the corresponding attribute's input opclass type.
    1155              :      * Otherwise, we have to do another ORDER proc lookup so that our call to
    1156              :      * _bt_binsrch_array_skey applies the correct comparator.
    1157              :      *
    1158              :      * Note: we have to support the convention that sk_subtype == InvalidOid
    1159              :      * means the opclass input type; this is a hack to simplify life for
    1160              :      * ScanKeyInit().
    1161              :      */
    1162           15 :     if (skey->sk_subtype != opcintype && skey->sk_subtype != InvalidOid)
    1163              :     {
    1164              :         RegProcedure cmp_proc;
    1165              :         Oid         arraysk_elemtype;
    1166              : 
    1167              :         /*
    1168              :          * Need an ORDER proc lookup to detect redundancy/contradictoriness
    1169              :          * with this pair of scankeys.
    1170              :          *
    1171              :          * Scalar scan key's argument will be passed to _bt_compare_array_skey
    1172              :          * as its tupdatum/lefthand argument (rhs arg is for array elements).
    1173              :          */
    1174            3 :         arraysk_elemtype = arraysk->sk_subtype;
    1175            3 :         if (arraysk_elemtype == InvalidOid)
    1176            0 :             arraysk_elemtype = rel->rd_opcintype[arraysk->sk_attno - 1];
    1177            3 :         cmp_proc = get_opfamily_proc(rel->rd_opfamily[arraysk->sk_attno - 1],
    1178              :                                      skey->sk_subtype, arraysk_elemtype,
    1179              :                                      BTORDER_PROC);
    1180            3 :         if (!RegProcedureIsValid(cmp_proc))
    1181              :         {
    1182              :             /* Can't make the comparison */
    1183            0 :             *qual_ok = false;   /* suppress compiler warnings */
    1184            0 :             return false;
    1185              :         }
    1186              : 
    1187              :         /* We have all we need to determine redundancy/contradictoriness */
    1188            3 :         orderprocp = &crosstypeproc;
    1189            3 :         fmgr_info(cmp_proc, orderprocp);
    1190              :     }
    1191              : 
    1192           15 :     matchelem = _bt_binsrch_array_skey(orderprocp, false,
    1193              :                                        NoMovementScanDirection,
    1194              :                                        skey->sk_argument, false, array,
    1195              :                                        arraysk, &cmpresult);
    1196              : 
    1197           15 :     switch (skey->sk_strategy)
    1198              :     {
    1199            3 :         case BTLessStrategyNumber:
    1200            3 :             cmpexact = 1;       /* exclude exact match, if any */
    1201              :             pg_fallthrough;
    1202            3 :         case BTLessEqualStrategyNumber:
    1203            3 :             if (cmpresult >= cmpexact)
    1204            0 :                 matchelem++;
    1205              :             /* Resize, keeping elements from the start of the array */
    1206            3 :             new_nelems = matchelem;
    1207            3 :             break;
    1208            6 :         case BTEqualStrategyNumber:
    1209            6 :             if (cmpresult != 0)
    1210              :             {
    1211              :                 /* qual is unsatisfiable */
    1212            3 :                 new_nelems = 0;
    1213              :             }
    1214              :             else
    1215              :             {
    1216              :                 /* Shift matching element to the start of the array, resize */
    1217            3 :                 array->elem_values[0] = array->elem_values[matchelem];
    1218            3 :                 new_nelems = 1;
    1219              :             }
    1220            6 :             break;
    1221            3 :         case BTGreaterEqualStrategyNumber:
    1222            3 :             cmpexact = 1;       /* include exact match, if any */
    1223              :             pg_fallthrough;
    1224            6 :         case BTGreaterStrategyNumber:
    1225            6 :             if (cmpresult >= cmpexact)
    1226            3 :                 matchelem++;
    1227              :             /* Shift matching elements to the start of the array, resize */
    1228            6 :             new_nelems = array->num_elems - matchelem;
    1229            6 :             memmove(array->elem_values, array->elem_values + matchelem,
    1230              :                     sizeof(Datum) * new_nelems);
    1231            6 :             break;
    1232            0 :         default:
    1233            0 :             elog(ERROR, "unrecognized StrategyNumber: %d",
    1234              :                  (int) skey->sk_strategy);
    1235              :             break;
    1236              :     }
    1237              : 
    1238              :     Assert(new_nelems >= 0);
    1239              :     Assert(new_nelems <= array->num_elems);
    1240              : 
    1241           15 :     array->num_elems = new_nelems;
    1242           15 :     *qual_ok = new_nelems > 0;
    1243              : 
    1244           15 :     return true;
    1245              : }
    1246              : 
    1247              : /*
    1248              :  * Preprocessing of skip array scan key, used to determine redundancy against
    1249              :  * a non-array scalar scan key (must be an inequality).
    1250              :  *
    1251              :  * _bt_compare_array_scankey_args helper function.
    1252              :  *
    1253              :  * Skip arrays work by procedurally generating their elements as needed, so we
    1254              :  * just store the inequality as the skip array's low_compare or high_compare
    1255              :  * (except when there's already a more restrictive low_compare/high_compare).
    1256              :  * The array's final elements are the range of values that still satisfy the
    1257              :  * array's final low_compare and high_compare.
    1258              :  */
    1259              : static bool
    1260          111 : _bt_skiparray_shrink(IndexScanDesc scan, ScanKey skey, BTArrayKeyInfo *array,
    1261              :                      bool *qual_ok)
    1262              : {
    1263              :     bool        test_result;
    1264              : 
    1265              :     Assert(array->num_elems == -1);
    1266              : 
    1267              :     /*
    1268              :      * Array's index attribute will be constrained by a strict operator/key.
    1269              :      * Array must not "contain a NULL element" (i.e. the scan must not apply
    1270              :      * "IS NULL" qual when it reaches the end of the index that stores NULLs).
    1271              :      */
    1272          111 :     array->null_elem = false;
    1273          111 :     *qual_ok = true;
    1274              : 
    1275              :     /*
    1276              :      * Consider if we should treat caller's scalar scan key as the skip
    1277              :      * array's high_compare or low_compare.
    1278              :      *
    1279              :      * In general the current array element must either be a copy of a value
    1280              :      * taken from an index tuple, or a derivative value generated by opclass's
    1281              :      * skip support function.  That way the scan can always safely assume that
    1282              :      * it's okay to use the only-input-opclass-type proc from so->orderProcs[]
    1283              :      * (they can be cross-type with SAOP arrays, but never with skip arrays).
    1284              :      *
    1285              :      * This approach is enabled by MINVAL/MAXVAL sentinel key markings, which
    1286              :      * can be thought of as representing either the lowest or highest matching
    1287              :      * array element (excluding the NULL element, where applicable, though as
    1288              :      * just discussed it isn't applicable to this range skip array anyway).
    1289              :      * Array keys marked MINVAL/MAXVAL never have a valid datum in their
    1290              :      * sk_argument field.  The scan directly applies the array's low_compare
    1291              :      * key when it encounters MINVAL in the array key proper (just as it
    1292              :      * applies high_compare when it sees MAXVAL set in the array key proper).
    1293              :      * The scan must never use the array's so->orderProcs[] proc against
    1294              :      * low_compare's/high_compare's sk_argument, either (so->orderProcs[] is
    1295              :      * only intended to be used with rhs datums from the array proper/index).
    1296              :      */
    1297          111 :     switch (skey->sk_strategy)
    1298              :     {
    1299           57 :         case BTLessStrategyNumber:
    1300              :         case BTLessEqualStrategyNumber:
    1301           57 :             if (array->high_compare)
    1302              :             {
    1303              :                 /* replace existing high_compare with caller's key? */
    1304            3 :                 if (!_bt_compare_scankey_args(scan, array->high_compare, skey,
    1305              :                                               array->high_compare, NULL, NULL,
    1306              :                                               &test_result))
    1307            0 :                     return false;   /* can't determine more restrictive key */
    1308              : 
    1309            3 :                 if (!test_result)
    1310            3 :                     return true;    /* no, just discard caller's key */
    1311              : 
    1312              :                 /* yes, replace existing high_compare with caller's key */
    1313              :             }
    1314              : 
    1315              :             /* caller's key becomes skip array's high_compare */
    1316           54 :             array->high_compare = skey;
    1317           54 :             break;
    1318           54 :         case BTGreaterEqualStrategyNumber:
    1319              :         case BTGreaterStrategyNumber:
    1320           54 :             if (array->low_compare)
    1321              :             {
    1322              :                 /* replace existing low_compare with caller's key? */
    1323            3 :                 if (!_bt_compare_scankey_args(scan, array->low_compare, skey,
    1324              :                                               array->low_compare, NULL, NULL,
    1325              :                                               &test_result))
    1326            0 :                     return false;   /* can't determine more restrictive key */
    1327              : 
    1328            3 :                 if (!test_result)
    1329            0 :                     return true;    /* no, just discard caller's key */
    1330              : 
    1331              :                 /* yes, replace existing low_compare with caller's key */
    1332              :             }
    1333              : 
    1334              :             /* caller's key becomes skip array's low_compare */
    1335           54 :             array->low_compare = skey;
    1336           54 :             break;
    1337            0 :         case BTEqualStrategyNumber:
    1338              :         default:
    1339            0 :             elog(ERROR, "unrecognized StrategyNumber: %d",
    1340              :                  (int) skey->sk_strategy);
    1341              :             break;
    1342              :     }
    1343              : 
    1344          108 :     return true;
    1345              : }
    1346              : 
    1347              : /*
    1348              :  * Applies the opfamily's skip support routine to convert the skip array's >
    1349              :  * low_compare key (if any) into a >= key, and to convert its < high_compare
    1350              :  * key (if any) into a <= key.  Decrements the high_compare key's sk_argument,
    1351              :  * and/or increments the low_compare key's sk_argument (also adjusts their
    1352              :  * operator strategies, while changing the operator as appropriate).
    1353              :  *
    1354              :  * This optional optimization reduces the number of descents required within
    1355              :  * _bt_first.  Whenever _bt_first is called with a skip array whose current
    1356              :  * array element is the sentinel value MINVAL, using a transformed >= key
    1357              :  * instead of using the original > key makes it safe to include lower-order
    1358              :  * scan keys in the insertion scan key (there must be lower-order scan keys
    1359              :  * after the skip array).  We will avoid an extra _bt_first to find the first
    1360              :  * value in the index > sk_argument -- at least when the first real matching
    1361              :  * value in the index happens to be an exact match for the sk_argument value
    1362              :  * that we produced here by incrementing the original input key's sk_argument.
    1363              :  * (Backwards scans derive the same benefit when they encounter the sentinel
    1364              :  * value MAXVAL, by converting the high_compare key from < to <=.)
    1365              :  *
    1366              :  * Note: The transformation is only correct when it cannot allow the scan to
    1367              :  * overlook matching tuples, but we don't have enough semantic information to
    1368              :  * safely make sure that can't happen during scans with cross-type operators.
    1369              :  * That's why we'll never apply the transformation in cross-type scenarios.
    1370              :  * For example, if we attempted to convert "sales_ts > '2024-01-01'::date"
    1371              :  * into "sales_ts >= '2024-01-02'::date" given a "sales_ts" attribute whose
    1372              :  * input opclass is timestamp_ops, the scan would overlook almost all (or all)
    1373              :  * tuples for sales that fell on '2024-01-01'.
    1374              :  *
    1375              :  * Note: We can safely modify array->low_compare/array->high_compare in place
    1376              :  * because they just point to copies of our scan->keyData[] input scan keys
    1377              :  * (namely the copies returned by _bt_preprocess_array_keys to be used as
    1378              :  * input into the standard preprocessing steps in _bt_preprocess_keys).
    1379              :  * Everything will be reset if there's a rescan.
    1380              :  */
    1381              : static void
    1382           39 : _bt_skiparray_strat_adjust(IndexScanDesc scan, ScanKey arraysk,
    1383              :                            BTArrayKeyInfo *array)
    1384              : {
    1385           39 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1386              :     MemoryContext oldContext;
    1387              : 
    1388              :     /*
    1389              :      * Called last among all preprocessing steps, when the skip array's final
    1390              :      * low_compare and high_compare have both been chosen
    1391              :      */
    1392              :     Assert(arraysk->sk_flags & SK_BT_SKIP);
    1393              :     Assert(array->num_elems == -1 && !array->null_elem && array->sksup);
    1394              : 
    1395           39 :     oldContext = MemoryContextSwitchTo(so->arrayContext);
    1396              : 
    1397           39 :     if (array->high_compare &&
    1398           12 :         array->high_compare->sk_strategy == BTLessStrategyNumber)
    1399            9 :         _bt_skiparray_strat_decrement(scan, arraysk, array);
    1400              : 
    1401           39 :     if (array->low_compare &&
    1402            9 :         array->low_compare->sk_strategy == BTGreaterStrategyNumber)
    1403            6 :         _bt_skiparray_strat_increment(scan, arraysk, array);
    1404              : 
    1405           39 :     MemoryContextSwitchTo(oldContext);
    1406           39 : }
    1407              : 
    1408              : /*
    1409              :  * Convert skip array's < high_compare key into a <= key
    1410              :  */
    1411              : static void
    1412            9 : _bt_skiparray_strat_decrement(IndexScanDesc scan, ScanKey arraysk,
    1413              :                               BTArrayKeyInfo *array)
    1414              : {
    1415            9 :     Relation    rel = scan->indexRelation;
    1416            9 :     Oid         opfamily = rel->rd_opfamily[arraysk->sk_attno - 1],
    1417            9 :                 opcintype = rel->rd_opcintype[arraysk->sk_attno - 1],
    1418              :                 leop;
    1419              :     RegProcedure cmp_proc;
    1420            9 :     ScanKey     high_compare = array->high_compare;
    1421            9 :     Datum       orig_sk_argument = high_compare->sk_argument,
    1422              :                 new_sk_argument;
    1423              :     bool        uflow;
    1424              :     int16       lookupstrat;
    1425              : 
    1426              :     Assert(high_compare->sk_strategy == BTLessStrategyNumber);
    1427              : 
    1428              :     /*
    1429              :      * Only perform the transformation when the operator type matches the
    1430              :      * index attribute's input opclass type
    1431              :      */
    1432            9 :     if (high_compare->sk_subtype != opcintype &&
    1433            0 :         high_compare->sk_subtype != InvalidOid)
    1434            0 :         return;
    1435              : 
    1436              :     /* Decrement, handling underflow by marking the qual unsatisfiable */
    1437            9 :     new_sk_argument = array->sksup->decrement(rel, orig_sk_argument, &uflow);
    1438            9 :     if (uflow)
    1439              :     {
    1440            0 :         BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1441              : 
    1442            0 :         so->qual_ok = false;
    1443            0 :         return;
    1444              :     }
    1445              : 
    1446              :     /*
    1447              :      * Look up <= operator (might fail), accounting for the fact that a
    1448              :      * high_compare on a DESC column already had its strategy commuted
    1449              :      */
    1450            9 :     lookupstrat = BTLessEqualStrategyNumber;
    1451            9 :     if (high_compare->sk_flags & SK_BT_DESC)
    1452            0 :         lookupstrat = BTGreaterEqualStrategyNumber; /* commute this too */
    1453            9 :     leop = get_opfamily_member(opfamily, opcintype, opcintype, lookupstrat);
    1454            9 :     if (!OidIsValid(leop))
    1455            0 :         return;
    1456            9 :     cmp_proc = get_opcode(leop);
    1457            9 :     if (RegProcedureIsValid(cmp_proc))
    1458              :     {
    1459              :         /* Transform < high_compare key into <= key */
    1460            9 :         fmgr_info(cmp_proc, &high_compare->sk_func);
    1461            9 :         high_compare->sk_argument = new_sk_argument;
    1462            9 :         high_compare->sk_strategy = BTLessEqualStrategyNumber;
    1463              :     }
    1464              : }
    1465              : 
    1466              : /*
    1467              :  * Convert skip array's > low_compare key into a >= key
    1468              :  */
    1469              : static void
    1470            6 : _bt_skiparray_strat_increment(IndexScanDesc scan, ScanKey arraysk,
    1471              :                               BTArrayKeyInfo *array)
    1472              : {
    1473            6 :     Relation    rel = scan->indexRelation;
    1474            6 :     Oid         opfamily = rel->rd_opfamily[arraysk->sk_attno - 1],
    1475            6 :                 opcintype = rel->rd_opcintype[arraysk->sk_attno - 1],
    1476              :                 geop;
    1477              :     RegProcedure cmp_proc;
    1478            6 :     ScanKey     low_compare = array->low_compare;
    1479            6 :     Datum       orig_sk_argument = low_compare->sk_argument,
    1480              :                 new_sk_argument;
    1481              :     bool        oflow;
    1482              :     int16       lookupstrat;
    1483              : 
    1484              :     Assert(low_compare->sk_strategy == BTGreaterStrategyNumber);
    1485              : 
    1486              :     /*
    1487              :      * Only perform the transformation when the operator type matches the
    1488              :      * index attribute's input opclass type
    1489              :      */
    1490            6 :     if (low_compare->sk_subtype != opcintype &&
    1491            0 :         low_compare->sk_subtype != InvalidOid)
    1492            0 :         return;
    1493              : 
    1494              :     /* Increment, handling overflow by marking the qual unsatisfiable */
    1495            6 :     new_sk_argument = array->sksup->increment(rel, orig_sk_argument, &oflow);
    1496            6 :     if (oflow)
    1497              :     {
    1498            0 :         BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1499              : 
    1500            0 :         so->qual_ok = false;
    1501            0 :         return;
    1502              :     }
    1503              : 
    1504              :     /*
    1505              :      * Look up >= operator (might fail), accounting for the fact that a
    1506              :      * low_compare on a DESC column already had its strategy commuted
    1507              :      */
    1508            6 :     lookupstrat = BTGreaterEqualStrategyNumber;
    1509            6 :     if (low_compare->sk_flags & SK_BT_DESC)
    1510            0 :         lookupstrat = BTLessEqualStrategyNumber;    /* commute this too */
    1511            6 :     geop = get_opfamily_member(opfamily, opcintype, opcintype, lookupstrat);
    1512            6 :     if (!OidIsValid(geop))
    1513            0 :         return;
    1514            6 :     cmp_proc = get_opcode(geop);
    1515            6 :     if (RegProcedureIsValid(cmp_proc))
    1516              :     {
    1517              :         /* Transform > low_compare key into >= key */
    1518            6 :         fmgr_info(cmp_proc, &low_compare->sk_func);
    1519            6 :         low_compare->sk_argument = new_sk_argument;
    1520            6 :         low_compare->sk_strategy = BTGreaterEqualStrategyNumber;
    1521              :     }
    1522              : }
    1523              : 
    1524              : /*
    1525              :  *  _bt_unmark_keys() -- make superfluous required keys nonrequired after all
    1526              :  *
    1527              :  * When _bt_preprocess_keys fails to eliminate one or more redundant keys, it
    1528              :  * calls here to make sure that no index attribute has more than one > or >=
    1529              :  * key marked required, and no more than one required < or <= key.  Attributes
    1530              :  * with = keys will always get one = key as their required key.  All other
    1531              :  * keys that were initially marked required get "unmarked" here.  That way,
    1532              :  * _bt_first and _bt_checkkeys will reliably agree on which keys to use to
    1533              :  * start and/or to end the scan.
    1534              :  *
    1535              :  * We also relocate keys that become/started out nonrequired to the end of
    1536              :  * so->keyData[].  That way, _bt_first and _bt_checkkeys cannot fail to reach
    1537              :  * a required key due to some earlier nonrequired key getting in the way.
    1538              :  *
    1539              :  * Only call here when _bt_compare_scankey_args returned false at least once
    1540              :  * (otherwise, calling here will just waste cycles).
    1541              :  */
    1542              : static void
    1543            3 : _bt_unmark_keys(IndexScanDesc scan, int *keyDataMap)
    1544              : {
    1545            3 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1546              :     AttrNumber  attno;
    1547              :     bool       *unmarkikey;
    1548              :     int         nunmark,
    1549              :                 nunmarked,
    1550              :                 nkept,
    1551              :                 firsti;
    1552              :     ScanKey     keepKeys,
    1553              :                 unmarkKeys;
    1554            3 :     FmgrInfo   *keepOrderProcs = NULL,
    1555            3 :                *unmarkOrderProcs = NULL;
    1556              :     bool        haveReqEquals,
    1557              :                 haveReqForward,
    1558              :                 haveReqBackward;
    1559              : 
    1560              :     /*
    1561              :      * Do an initial pass over so->keyData[] that determines which keys to
    1562              :      * keep as required.  We expect so->keyData[] to still be in attribute
    1563              :      * order when we're called (though we don't expect any particular order
    1564              :      * among each attribute's keys).
    1565              :      *
    1566              :      * When both equality and inequality keys remain on a single attribute, we
    1567              :      * *must* make sure that exactly one of the equalities remains required.
    1568              :      * Any requiredness markings that we might leave on later keys/attributes
    1569              :      * are predicated on there being required = keys on all prior columns.
    1570              :      */
    1571            3 :     unmarkikey = palloc0(so->numberOfKeys * sizeof(bool));
    1572            3 :     nunmark = 0;
    1573              : 
    1574              :     /* Set things up for first key's attribute */
    1575            3 :     attno = so->keyData[0].sk_attno;
    1576            3 :     firsti = 0;
    1577            3 :     haveReqEquals = false;
    1578            3 :     haveReqForward = false;
    1579            3 :     haveReqBackward = false;
    1580           15 :     for (int i = 0; i < so->numberOfKeys; i++)
    1581              :     {
    1582           12 :         ScanKey     origkey = &so->keyData[i];
    1583              : 
    1584           12 :         if (origkey->sk_attno != attno)
    1585              :         {
    1586              :             /* Reset for next attribute */
    1587            6 :             attno = origkey->sk_attno;
    1588            6 :             firsti = i;
    1589              : 
    1590            6 :             haveReqEquals = false;
    1591            6 :             haveReqForward = false;
    1592            6 :             haveReqBackward = false;
    1593              :         }
    1594              : 
    1595              :         /* Equalities get priority over inequalities */
    1596           12 :         if (haveReqEquals)
    1597              :         {
    1598              :             /*
    1599              :              * We already found the first "=" key for this attribute.  We've
    1600              :              * already decided that all its other keys will be unmarked.
    1601              :              */
    1602              :             Assert(!(origkey->sk_flags & SK_SEARCHNULL));
    1603            0 :             unmarkikey[i] = true;
    1604            0 :             nunmark++;
    1605            0 :             continue;
    1606              :         }
    1607           12 :         else if ((origkey->sk_flags & SK_BT_REQFWD) &&
    1608            9 :                  (origkey->sk_flags & SK_BT_REQBKWD))
    1609              :         {
    1610              :             /*
    1611              :              * Found the first "=" key for attno.  All other attno keys will
    1612              :              * be unmarked.
    1613              :              */
    1614              :             Assert(origkey->sk_strategy == BTEqualStrategyNumber);
    1615              : 
    1616            9 :             haveReqEquals = true;
    1617           12 :             for (int j = firsti; j < i; j++)
    1618              :             {
    1619              :                 /* Unmark any prior inequality keys on attno after all */
    1620            3 :                 if (!unmarkikey[j])
    1621              :                 {
    1622            3 :                     unmarkikey[j] = true;
    1623            3 :                     nunmark++;
    1624              :                 }
    1625              :             }
    1626            9 :             continue;
    1627              :         }
    1628              : 
    1629              :         /* Deal with inequalities next */
    1630            3 :         if ((origkey->sk_flags & SK_BT_REQFWD) && !haveReqForward)
    1631              :         {
    1632            0 :             haveReqForward = true;
    1633            0 :             continue;
    1634              :         }
    1635            3 :         else if ((origkey->sk_flags & SK_BT_REQBKWD) && !haveReqBackward)
    1636              :         {
    1637            3 :             haveReqBackward = true;
    1638            3 :             continue;
    1639              :         }
    1640              : 
    1641              :         /*
    1642              :          * We have either a redundant inequality key that will be unmarked, or
    1643              :          * we have a key that wasn't marked required in the first place
    1644              :          */
    1645            0 :         unmarkikey[i] = true;
    1646            0 :         nunmark++;
    1647              :     }
    1648              : 
    1649              :     /* Should only be called when _bt_compare_scankey_args reported failure */
    1650              :     Assert(nunmark > 0);
    1651              : 
    1652              :     /*
    1653              :      * Next, allocate temp arrays: one for required keys that'll remain
    1654              :      * required, the other for all remaining keys
    1655              :      */
    1656            3 :     unmarkKeys = palloc(nunmark * sizeof(ScanKeyData));
    1657            3 :     keepKeys = palloc((so->numberOfKeys - nunmark) * sizeof(ScanKeyData));
    1658            3 :     nunmarked = 0;
    1659            3 :     nkept = 0;
    1660            3 :     if (so->numArrayKeys)
    1661              :     {
    1662            3 :         unmarkOrderProcs = palloc(nunmark * sizeof(FmgrInfo));
    1663            3 :         keepOrderProcs = palloc((so->numberOfKeys - nunmark) * sizeof(FmgrInfo));
    1664              :     }
    1665              : 
    1666              :     /*
    1667              :      * Next, copy the contents of so->keyData[] into the appropriate temp
    1668              :      * array.
    1669              :      *
    1670              :      * Scans with = array keys need us to maintain invariants around the order
    1671              :      * of so->orderProcs[] and so->arrayKeys[] relative to so->keyData[].  See
    1672              :      * _bt_preprocess_array_keys_final for a full explanation.
    1673              :      */
    1674           15 :     for (int i = 0; i < so->numberOfKeys; i++)
    1675              :     {
    1676           12 :         ScanKey     origkey = &so->keyData[i];
    1677              :         ScanKey     unmark;
    1678              : 
    1679           12 :         if (!unmarkikey[i])
    1680              :         {
    1681              :             /*
    1682              :              * Key gets to keep its original requiredness markings.
    1683              :              *
    1684              :              * Key will stay in its original position, unless we're going to
    1685              :              * unmark an earlier key (in which case this key gets moved back).
    1686              :              */
    1687            9 :             memcpy(keepKeys + nkept, origkey, sizeof(ScanKeyData));
    1688              : 
    1689            9 :             if (so->numArrayKeys)
    1690              :             {
    1691            9 :                 keyDataMap[i] = nkept;
    1692            9 :                 memcpy(keepOrderProcs + nkept, &so->orderProcs[i],
    1693              :                        sizeof(FmgrInfo));
    1694              :             }
    1695              : 
    1696            9 :             nkept++;
    1697            9 :             continue;
    1698              :         }
    1699              : 
    1700              :         /*
    1701              :          * Key will be unmarked as needed, and moved to the end of the array,
    1702              :          * next to other keys that will become (or always were) nonrequired
    1703              :          */
    1704            3 :         unmark = unmarkKeys + nunmarked;
    1705            3 :         memcpy(unmark, origkey, sizeof(ScanKeyData));
    1706              : 
    1707            3 :         if (so->numArrayKeys)
    1708              :         {
    1709            3 :             keyDataMap[i] = (so->numberOfKeys - nunmark) + nunmarked;
    1710            3 :             memcpy(&unmarkOrderProcs[nunmarked], &so->orderProcs[i],
    1711              :                    sizeof(FmgrInfo));
    1712              :         }
    1713              : 
    1714              :         /*
    1715              :          * Preprocessing only generates skip arrays when it knows that they'll
    1716              :          * be the only required = key on the attr.  We'll never unmark them.
    1717              :          */
    1718              :         Assert(!(unmark->sk_flags & SK_BT_SKIP));
    1719              : 
    1720              :         /*
    1721              :          * Also shouldn't have to unmark an IS NULL or an IS NOT NULL key.
    1722              :          * They aren't cross-type, so an incomplete opfamily can't matter.
    1723              :          */
    1724              :         Assert(!(unmark->sk_flags & SK_ISNULL) ||
    1725              :                !(unmark->sk_flags & (SK_BT_REQFWD | SK_BT_REQBKWD)));
    1726              : 
    1727              :         /* Clear requiredness flags on redundant key (and on any subkeys) */
    1728            3 :         unmark->sk_flags &= ~(SK_BT_REQFWD | SK_BT_REQBKWD);
    1729            3 :         if (unmark->sk_flags & SK_ROW_HEADER)
    1730              :         {
    1731            3 :             ScanKey     subkey = (ScanKey) DatumGetPointer(unmark->sk_argument);
    1732              : 
    1733              :             Assert(subkey->sk_strategy == unmark->sk_strategy);
    1734              :             for (;;)
    1735              :             {
    1736            3 :                 Assert(subkey->sk_flags & SK_ROW_MEMBER);
    1737            6 :                 subkey->sk_flags &= ~(SK_BT_REQFWD | SK_BT_REQBKWD);
    1738            6 :                 if (subkey->sk_flags & SK_ROW_END)
    1739            3 :                     break;
    1740            3 :                 subkey++;
    1741              :             }
    1742              :         }
    1743              : 
    1744            3 :         nunmarked++;
    1745              :     }
    1746              : 
    1747              :     /* Copy both temp arrays back into so->keyData[] to reorder */
    1748              :     Assert(nkept == so->numberOfKeys - nunmark);
    1749              :     Assert(nunmarked == nunmark);
    1750            3 :     memcpy(so->keyData, keepKeys, sizeof(ScanKeyData) * nkept);
    1751            3 :     memcpy(so->keyData + nkept, unmarkKeys, sizeof(ScanKeyData) * nunmarked);
    1752              : 
    1753              :     /* Done with temp arrays */
    1754            3 :     pfree(unmarkikey);
    1755            3 :     pfree(keepKeys);
    1756            3 :     pfree(unmarkKeys);
    1757              : 
    1758              :     /*
    1759              :      * Now copy so->orderProcs[] temp entries needed by scans with = array
    1760              :      * keys back (just like with the so->keyData[] temp arrays)
    1761              :      */
    1762            3 :     if (so->numArrayKeys)
    1763              :     {
    1764            3 :         memcpy(so->orderProcs, keepOrderProcs, sizeof(FmgrInfo) * nkept);
    1765            3 :         memcpy(so->orderProcs + nkept, unmarkOrderProcs,
    1766              :                sizeof(FmgrInfo) * nunmarked);
    1767              : 
    1768              :         /* Also fix-up array->scan_key references */
    1769            9 :         for (int arridx = 0; arridx < so->numArrayKeys; arridx++)
    1770              :         {
    1771            6 :             BTArrayKeyInfo *array = &so->arrayKeys[arridx];
    1772              : 
    1773            6 :             array->scan_key = keyDataMap[array->scan_key];
    1774              :         }
    1775              : 
    1776              :         /*
    1777              :          * Sort so->arrayKeys[] based on its new BTArrayKeyInfo.scan_key
    1778              :          * offsets, so that its order matches so->keyData[] order as expected
    1779              :          */
    1780            3 :         qsort(so->arrayKeys, so->numArrayKeys, sizeof(BTArrayKeyInfo),
    1781              :               _bt_reorder_array_cmp);
    1782              : 
    1783              :         /* Done with temp arrays */
    1784            3 :         pfree(unmarkOrderProcs);
    1785            3 :         pfree(keepOrderProcs);
    1786              :     }
    1787            3 : }
    1788              : 
    1789              : /*
    1790              :  * qsort comparator for reordering so->arrayKeys[] BTArrayKeyInfo entries
    1791              :  */
    1792              : static int
    1793            3 : _bt_reorder_array_cmp(const void *a, const void *b)
    1794              : {
    1795            3 :     const BTArrayKeyInfo *arraya = a;
    1796            3 :     const BTArrayKeyInfo *arrayb = b;
    1797              : 
    1798            3 :     return pg_cmp_s32(arraya->scan_key, arrayb->scan_key);
    1799              : }
    1800              : 
    1801              : /*
    1802              :  *  _bt_preprocess_array_keys() -- Preprocess SK_SEARCHARRAY scan keys
    1803              :  *
    1804              :  * If there are any SK_SEARCHARRAY scan keys, deconstruct the array(s) and
    1805              :  * set up BTArrayKeyInfo info for each one that is an equality-type key.
    1806              :  * Returns modified scan keys as input for further, standard preprocessing.
    1807              :  *
    1808              :  * Currently we perform two kinds of preprocessing to deal with redundancies.
    1809              :  * For inequality array keys, it's sufficient to find the extreme element
    1810              :  * value and replace the whole array with that scalar value.  This eliminates
    1811              :  * all but one array element as redundant.  Similarly, we are capable of
    1812              :  * "merging together" multiple equality array keys (from two or more input
    1813              :  * scan keys) into a single output scan key containing only the intersecting
    1814              :  * array elements.  This can eliminate many redundant array elements, as well
    1815              :  * as eliminating whole array scan keys as redundant.  It can also allow us to
    1816              :  * detect contradictory quals.
    1817              :  *
    1818              :  * Caller must pass *new_numberOfKeys to give us a way to change the number of
    1819              :  * scan keys that caller treats as input to standard preprocessing steps.  The
    1820              :  * returned array is smaller than scan->keyData[] when we could eliminate a
    1821              :  * redundant array scan key (redundant with another array scan key).  It is
    1822              :  * convenient for _bt_preprocess_keys caller to have to deal with no more than
    1823              :  * one equality strategy array scan key per index attribute.  We'll always be
    1824              :  * able to set things up that way when complete opfamilies are used.
    1825              :  *
    1826              :  * We're also responsible for generating skip arrays (and their associated
    1827              :  * scan keys) here.  This enables skip scan.  We do this for index attributes
    1828              :  * that initially lacked an equality condition within scan->keyData[], iff
    1829              :  * doing so allows a later scan key (that was passed to us in scan->keyData[])
    1830              :  * to be marked required by our _bt_preprocess_keys caller.
    1831              :  *
    1832              :  * We set the scan key references from the scan's BTArrayKeyInfo info array to
    1833              :  * offsets into the temp modified input array returned to caller.  Scans that
    1834              :  * have array keys should call _bt_preprocess_array_keys_final when standard
    1835              :  * preprocessing steps are complete.  This will convert the scan key offset
    1836              :  * references into references to the scan's so->keyData[] output scan keys.
    1837              :  *
    1838              :  * Note: the reason we need to return a temp scan key array, rather than just
    1839              :  * modifying scan->keyData[], is that callers are permitted to call btrescan
    1840              :  * without supplying a new set of scankey data.  Certain other preprocessing
    1841              :  * routines (e.g., _bt_fix_scankey_strategy) _can_ modify scan->keyData[], but
    1842              :  * we can't make that work here because our modifications are non-idempotent.
    1843              :  */
    1844              : static ScanKey
    1845      8580163 : _bt_preprocess_array_keys(IndexScanDesc scan, int *new_numberOfKeys)
    1846              : {
    1847      8580163 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1848      8580163 :     Relation    rel = scan->indexRelation;
    1849      8580163 :     int16      *indoption = rel->rd_indoption;
    1850              :     Oid         skip_eq_ops[INDEX_MAX_KEYS];
    1851              :     int         numArrayKeys,
    1852              :                 numSkipArrayKeys,
    1853              :                 numArrayKeyData;
    1854      8580163 :     AttrNumber  attno_skip = 1;
    1855      8580163 :     int         origarrayatt = InvalidAttrNumber,
    1856      8580163 :                 origarraykey = -1;
    1857      8580163 :     Oid         origelemtype = InvalidOid;
    1858              :     MemoryContext oldContext;
    1859              :     ScanKey     arrayKeyData;   /* modified copy of scan->keyData */
    1860              : 
    1861              :     /*
    1862              :      * Check the number of input array keys within scan->keyData[] input keys
    1863              :      * (also checks if we should add extra skip arrays based on input keys)
    1864              :      */
    1865      8580163 :     numArrayKeys = _bt_num_array_keys(scan, skip_eq_ops, &numSkipArrayKeys);
    1866      8580163 :     so->skipScan = (numSkipArrayKeys > 0);
    1867              : 
    1868              :     /* Quit if nothing to do. */
    1869      8580163 :     if (numArrayKeys == 0)
    1870      8544422 :         return NULL;
    1871              : 
    1872              :     /*
    1873              :      * Estimated final size of arrayKeyData[] array we'll return to our caller
    1874              :      * is the size of the original scan->keyData[] input array, plus space for
    1875              :      * any additional skip array scan keys we'll need to generate below
    1876              :      */
    1877        35741 :     numArrayKeyData = scan->numberOfKeys + numSkipArrayKeys;
    1878              : 
    1879              :     /*
    1880              :      * Make a scan-lifespan context to hold array-associated data, or reset it
    1881              :      * if we already have one from a previous rescan cycle.
    1882              :      */
    1883        35741 :     if (so->arrayContext == NULL)
    1884         2458 :         so->arrayContext = AllocSetContextCreate(CurrentMemoryContext,
    1885              :                                                  "BTree array context",
    1886              :                                                  ALLOCSET_SMALL_SIZES);
    1887              :     else
    1888        33283 :         MemoryContextReset(so->arrayContext);
    1889              : 
    1890        35741 :     oldContext = MemoryContextSwitchTo(so->arrayContext);
    1891              : 
    1892              :     /* Create output scan keys in the workspace context */
    1893        35741 :     arrayKeyData = (ScanKey) palloc(numArrayKeyData * sizeof(ScanKeyData));
    1894              : 
    1895              :     /* Allocate space for per-array data in the workspace context */
    1896        35741 :     so->arrayKeys = (BTArrayKeyInfo *) palloc(numArrayKeys * sizeof(BTArrayKeyInfo));
    1897              : 
    1898              :     /* Allocate space for ORDER procs used to help _bt_checkkeys */
    1899        35741 :     so->orderProcs = (FmgrInfo *) palloc(numArrayKeyData * sizeof(FmgrInfo));
    1900              : 
    1901        35741 :     numArrayKeys = 0;
    1902        35741 :     numArrayKeyData = 0;
    1903        72237 :     for (int input_ikey = 0; input_ikey < scan->numberOfKeys; input_ikey++)
    1904              :     {
    1905        36505 :         ScanKey     inkey = scan->keyData + input_ikey,
    1906              :                     cur;
    1907              :         FmgrInfo    sortproc;
    1908        36505 :         FmgrInfo   *sortprocp = &sortproc;
    1909              :         Oid         elemtype;
    1910              :         bool        reverse;
    1911              :         ArrayType  *arrayval;
    1912              :         int16       elmlen;
    1913              :         bool        elmbyval;
    1914              :         char        elmalign;
    1915              :         int         num_elems;
    1916              :         Datum      *elem_values;
    1917              :         bool       *elem_nulls;
    1918              :         int         num_nonnulls;
    1919              : 
    1920              :         /* set up next output scan key */
    1921        36505 :         cur = &arrayKeyData[numArrayKeyData];
    1922              : 
    1923              :         /* Backfill skip arrays for attrs < or <= input key's attr? */
    1924        38570 :         while (numSkipArrayKeys && attno_skip <= inkey->sk_attno)
    1925              :         {
    1926         2350 :             Oid         opfamily = rel->rd_opfamily[attno_skip - 1];
    1927         2350 :             Oid         opcintype = rel->rd_opcintype[attno_skip - 1];
    1928         2350 :             Oid         collation = rel->rd_indcollation[attno_skip - 1];
    1929         2350 :             Oid         eq_op = skip_eq_ops[attno_skip - 1];
    1930              :             CompactAttribute *attr;
    1931              :             RegProcedure cmp_proc;
    1932              : 
    1933         2350 :             if (!OidIsValid(eq_op))
    1934              :             {
    1935              :                 /*
    1936              :                  * Attribute already has an = input key, so don't output a
    1937              :                  * skip array for attno_skip.  Just copy attribute's = input
    1938              :                  * key into arrayKeyData[] once outside this inner loop.
    1939              :                  *
    1940              :                  * Note: When we get here there must be a later attribute that
    1941              :                  * lacks an equality input key, and still needs a skip array
    1942              :                  * (if there wasn't then numSkipArrayKeys would be 0 by now).
    1943              :                  */
    1944              :                 Assert(attno_skip == inkey->sk_attno);
    1945              :                 /* inkey can't be last input key to be marked required: */
    1946              :                 Assert(input_ikey < scan->numberOfKeys - 1);
    1947              : #if 0
    1948              :                 /* Could be a redundant input scan key, so can't do this: */
    1949              :                 Assert(inkey->sk_strategy == BTEqualStrategyNumber ||
    1950              :                        (inkey->sk_flags & SK_SEARCHNULL));
    1951              : #endif
    1952              : 
    1953          285 :                 attno_skip++;
    1954          285 :                 break;
    1955              :             }
    1956              : 
    1957         2065 :             cmp_proc = get_opcode(eq_op);
    1958         2065 :             if (!RegProcedureIsValid(cmp_proc))
    1959            0 :                 elog(ERROR, "missing oprcode for skipping equals operator %u", eq_op);
    1960              : 
    1961         2065 :             ScanKeyEntryInitialize(cur,
    1962              :                                    SK_SEARCHARRAY | SK_BT_SKIP, /* flags */
    1963              :                                    attno_skip,  /* skipped att number */
    1964              :                                    BTEqualStrategyNumber,   /* equality strategy */
    1965              :                                    InvalidOid,  /* opclass input subtype */
    1966              :                                    collation,   /* index column's collation */
    1967              :                                    cmp_proc,    /* equality operator's proc */
    1968              :                                    (Datum) 0);  /* constant */
    1969              : 
    1970              :             /* Initialize generic BTArrayKeyInfo fields */
    1971         2065 :             so->arrayKeys[numArrayKeys].scan_key = numArrayKeyData;
    1972         2065 :             so->arrayKeys[numArrayKeys].num_elems = -1;
    1973              : 
    1974              :             /* Initialize skip array specific BTArrayKeyInfo fields */
    1975         2065 :             attr = TupleDescCompactAttr(RelationGetDescr(rel), attno_skip - 1);
    1976         2065 :             reverse = (indoption[attno_skip - 1] & INDOPTION_DESC) != 0;
    1977         2065 :             so->arrayKeys[numArrayKeys].attlen = attr->attlen;
    1978         2065 :             so->arrayKeys[numArrayKeys].attbyval = attr->attbyval;
    1979         2065 :             so->arrayKeys[numArrayKeys].null_elem = true;    /* for now */
    1980         4130 :             so->arrayKeys[numArrayKeys].sksup =
    1981         2065 :                 PrepareSkipSupportFromOpclass(opfamily, opcintype, reverse);
    1982         2065 :             so->arrayKeys[numArrayKeys].low_compare = NULL; /* for now */
    1983         2065 :             so->arrayKeys[numArrayKeys].high_compare = NULL; /* for now */
    1984              : 
    1985              :             /*
    1986              :              * We'll need a 3-way ORDER proc.  Set that up now.
    1987              :              */
    1988         2065 :             _bt_setup_array_cmp(scan, cur, opcintype,
    1989         2065 :                                 &so->orderProcs[numArrayKeyData], NULL);
    1990              : 
    1991         2065 :             numArrayKeys++;
    1992         2065 :             numArrayKeyData++;  /* keep this scan key/array */
    1993              : 
    1994              :             /* set up next output scan key */
    1995         2065 :             cur = &arrayKeyData[numArrayKeyData];
    1996              : 
    1997              :             /* remember having output this skip array and scan key */
    1998         2065 :             numSkipArrayKeys--;
    1999         2065 :             attno_skip++;
    2000              :         }
    2001              : 
    2002              :         /*
    2003              :          * Provisionally copy scan key into arrayKeyData[] array we'll return
    2004              :          * to _bt_preprocess_keys caller
    2005              :          */
    2006        36505 :         *cur = *inkey;
    2007              : 
    2008        36505 :         if (!(cur->sk_flags & SK_SEARCHARRAY))
    2009              :         {
    2010         2533 :             numArrayKeyData++;  /* keep this non-array scan key */
    2011         2542 :             continue;
    2012              :         }
    2013              : 
    2014              :         /*
    2015              :          * Process SAOP array scan key
    2016              :          */
    2017              :         Assert(!(cur->sk_flags & (SK_ROW_HEADER | SK_SEARCHNULL | SK_SEARCHNOTNULL)));
    2018              : 
    2019              :         /* If array is null as a whole, the scan qual is unsatisfiable */
    2020        33972 :         if (cur->sk_flags & SK_ISNULL)
    2021              :         {
    2022            3 :             so->qual_ok = false;
    2023            9 :             break;
    2024              :         }
    2025              : 
    2026              :         /*
    2027              :          * Deconstruct the array into elements
    2028              :          */
    2029        33969 :         arrayval = DatumGetArrayTypeP(cur->sk_argument);
    2030              :         /* We could cache this data, but not clear it's worth it */
    2031        33969 :         get_typlenbyvalalign(ARR_ELEMTYPE(arrayval),
    2032              :                              &elmlen, &elmbyval, &elmalign);
    2033        33969 :         deconstruct_array(arrayval,
    2034              :                           ARR_ELEMTYPE(arrayval),
    2035              :                           elmlen, elmbyval, elmalign,
    2036              :                           &elem_values, &elem_nulls, &num_elems);
    2037              : 
    2038              :         /*
    2039              :          * Compress out any null elements.  We can ignore them since we assume
    2040              :          * all btree operators are strict.
    2041              :          */
    2042        33969 :         num_nonnulls = 0;
    2043       134571 :         for (int j = 0; j < num_elems; j++)
    2044              :         {
    2045       100602 :             if (!elem_nulls[j])
    2046       100593 :                 elem_values[num_nonnulls++] = elem_values[j];
    2047              :         }
    2048              : 
    2049              :         /* We could pfree(elem_nulls) now, but not worth the cycles */
    2050              : 
    2051              :         /* If there's no non-nulls, the scan qual is unsatisfiable */
    2052        33969 :         if (num_nonnulls == 0)
    2053              :         {
    2054            3 :             so->qual_ok = false;
    2055            3 :             break;
    2056              :         }
    2057              : 
    2058              :         /*
    2059              :          * Determine the nominal datatype of the array elements.  We have to
    2060              :          * support the convention that sk_subtype == InvalidOid means the
    2061              :          * opclass input type; this is a hack to simplify life for
    2062              :          * ScanKeyInit().
    2063              :          */
    2064        33966 :         elemtype = cur->sk_subtype;
    2065        33966 :         if (elemtype == InvalidOid)
    2066            0 :             elemtype = rel->rd_opcintype[cur->sk_attno - 1];
    2067              : 
    2068              :         /*
    2069              :          * If the comparison operator is not equality, then the array qual
    2070              :          * degenerates to a simple comparison against the smallest or largest
    2071              :          * non-null array element, as appropriate.
    2072              :          */
    2073        33966 :         switch (cur->sk_strategy)
    2074              :         {
    2075            3 :             case BTLessStrategyNumber:
    2076              :             case BTLessEqualStrategyNumber:
    2077            3 :                 cur->sk_argument =
    2078            3 :                     _bt_find_extreme_element(scan, cur, elemtype,
    2079              :                                              BTGreaterStrategyNumber,
    2080              :                                              elem_values, num_nonnulls);
    2081            3 :                 numArrayKeyData++;  /* keep this transformed scan key */
    2082            3 :                 continue;
    2083        33960 :             case BTEqualStrategyNumber:
    2084              :                 /* proceed with rest of loop */
    2085        33960 :                 break;
    2086            3 :             case BTGreaterEqualStrategyNumber:
    2087              :             case BTGreaterStrategyNumber:
    2088            3 :                 cur->sk_argument =
    2089            3 :                     _bt_find_extreme_element(scan, cur, elemtype,
    2090              :                                              BTLessStrategyNumber,
    2091              :                                              elem_values, num_nonnulls);
    2092            3 :                 numArrayKeyData++;  /* keep this transformed scan key */
    2093            3 :                 continue;
    2094            0 :             default:
    2095            0 :                 elog(ERROR, "unrecognized StrategyNumber: %d",
    2096              :                      (int) cur->sk_strategy);
    2097              :                 break;
    2098              :         }
    2099              : 
    2100              :         /*
    2101              :          * We'll need a 3-way ORDER proc to perform binary searches for the
    2102              :          * next matching array element.  Set that up now.
    2103              :          *
    2104              :          * Array scan keys with cross-type equality operators will require a
    2105              :          * separate same-type ORDER proc for sorting their array.  Otherwise,
    2106              :          * sortproc just points to the same proc used during binary searches.
    2107              :          */
    2108        33960 :         _bt_setup_array_cmp(scan, cur, elemtype,
    2109        33960 :                             &so->orderProcs[numArrayKeyData], &sortprocp);
    2110              : 
    2111              :         /*
    2112              :          * Sort the non-null elements and eliminate any duplicates.  We must
    2113              :          * sort in the same ordering used by the index column, so that the
    2114              :          * arrays can be advanced in lockstep with the scan's progress through
    2115              :          * the index's key space.
    2116              :          */
    2117        33960 :         reverse = (indoption[cur->sk_attno - 1] & INDOPTION_DESC) != 0;
    2118        33960 :         num_elems = _bt_sort_array_elements(cur, sortprocp, reverse,
    2119              :                                             elem_values, num_nonnulls);
    2120              : 
    2121        33960 :         if (origarrayatt == cur->sk_attno)
    2122              :         {
    2123            6 :             BTArrayKeyInfo *orig = &so->arrayKeys[origarraykey];
    2124              : 
    2125              :             /*
    2126              :              * This array scan key is redundant with a previous equality
    2127              :              * operator array scan key.  Merge the two arrays together to
    2128              :              * eliminate contradictory non-intersecting elements (or try to).
    2129              :              *
    2130              :              * We merge this next array back into attribute's original array.
    2131              :              */
    2132              :             Assert(arrayKeyData[orig->scan_key].sk_attno == cur->sk_attno);
    2133              :             Assert(arrayKeyData[orig->scan_key].sk_collation ==
    2134              :                    cur->sk_collation);
    2135            6 :             if (_bt_merge_arrays(scan, cur, sortprocp, reverse,
    2136              :                                  origelemtype, elemtype,
    2137              :                                  orig->elem_values, &orig->num_elems,
    2138              :                                  elem_values, num_elems))
    2139              :             {
    2140              :                 /* Successfully eliminated this array */
    2141            6 :                 pfree(elem_values);
    2142              : 
    2143              :                 /*
    2144              :                  * If no intersecting elements remain in the original array,
    2145              :                  * the scan qual is unsatisfiable
    2146              :                  */
    2147            6 :                 if (orig->num_elems == 0)
    2148              :                 {
    2149            3 :                     so->qual_ok = false;
    2150            3 :                     break;
    2151              :                 }
    2152              : 
    2153              :                 /* Throw away this scan key/array */
    2154            3 :                 continue;
    2155              :             }
    2156              : 
    2157              :             /*
    2158              :              * Unable to merge this array with previous array due to a lack of
    2159              :              * suitable cross-type opfamily support.  Will need to keep both
    2160              :              * scan keys/arrays.
    2161              :              */
    2162              :         }
    2163              :         else
    2164              :         {
    2165              :             /*
    2166              :              * This array is the first for current index attribute.
    2167              :              *
    2168              :              * If it turns out to not be the last array (that is, if the next
    2169              :              * array is redundantly applied to this same index attribute),
    2170              :              * we'll then treat this array as the attribute's "original" array
    2171              :              * when merging.
    2172              :              */
    2173        33954 :             origarrayatt = cur->sk_attno;
    2174        33954 :             origarraykey = numArrayKeys;
    2175        33954 :             origelemtype = elemtype;
    2176              :         }
    2177              : 
    2178              :         /* Initialize generic BTArrayKeyInfo fields */
    2179        33954 :         so->arrayKeys[numArrayKeys].scan_key = numArrayKeyData;
    2180        33954 :         so->arrayKeys[numArrayKeys].num_elems = num_elems;
    2181              : 
    2182              :         /* Initialize SAOP array specific BTArrayKeyInfo fields */
    2183        33954 :         so->arrayKeys[numArrayKeys].elem_values = elem_values;
    2184        33954 :         so->arrayKeys[numArrayKeys].cur_elem = -1;   /* i.e. invalid */
    2185              : 
    2186        33954 :         numArrayKeys++;
    2187        33954 :         numArrayKeyData++;      /* keep this scan key/array */
    2188              :     }
    2189              : 
    2190              :     Assert(numSkipArrayKeys == 0 || !so->qual_ok);
    2191              : 
    2192              :     /* Set final number of equality-type array keys */
    2193        35741 :     so->numArrayKeys = numArrayKeys;
    2194              :     /* Set number of scan keys in arrayKeyData[] */
    2195        35741 :     *new_numberOfKeys = numArrayKeyData;
    2196              : 
    2197        35741 :     MemoryContextSwitchTo(oldContext);
    2198              : 
    2199        35741 :     return arrayKeyData;
    2200              : }
    2201              : 
    2202              : /*
    2203              :  *  _bt_preprocess_array_keys_final() -- fix up array scan key references
    2204              :  *
    2205              :  * When _bt_preprocess_array_keys performed initial array preprocessing, it
    2206              :  * set each array's array->scan_key to its scankey's arrayKeyData[] offset.
    2207              :  * This function handles translation of the scan key references from the
    2208              :  * BTArrayKeyInfo info array, from input scan key references (to the keys in
    2209              :  * arrayKeyData[]), into output references (to the keys in so->keyData[]).
    2210              :  * Caller's keyDataMap[] array tells us how to perform this remapping.
    2211              :  *
    2212              :  * Also finalizes so->orderProcs[] for the scan.  Arrays already have an ORDER
    2213              :  * proc, which might need to be repositioned to its so->keyData[]-wise offset
    2214              :  * (very much like the remapping that we apply to array->scan_key references).
    2215              :  * Non-array equality strategy scan keys (that survived preprocessing) don't
    2216              :  * yet have an so->orderProcs[] entry, so we set one for them here.
    2217              :  *
    2218              :  * Also converts single-element array scan keys into equivalent non-array
    2219              :  * equality scan keys, which decrements so->numArrayKeys.  It's possible that
    2220              :  * this will leave this new btrescan without any arrays at all.  This isn't
    2221              :  * necessary for correctness; it's just an optimization.  Non-array equality
    2222              :  * scan keys are slightly faster than equivalent array scan keys at runtime.
    2223              :  */
    2224              : static void
    2225         2196 : _bt_preprocess_array_keys_final(IndexScanDesc scan, int *keyDataMap)
    2226              : {
    2227         2196 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    2228         2196 :     Relation    rel = scan->indexRelation;
    2229         2196 :     int         arrayidx = 0;
    2230         2196 :     int         last_equal_output_ikey PG_USED_FOR_ASSERTS_ONLY = -1;
    2231              : 
    2232              :     Assert(so->qual_ok);
    2233              : 
    2234              :     /*
    2235              :      * Nothing for us to do when _bt_preprocess_array_keys only had to deal
    2236              :      * with array inequalities
    2237              :      */
    2238         2196 :     if (so->numArrayKeys == 0)
    2239            0 :         return;
    2240              : 
    2241         7038 :     for (int output_ikey = 0; output_ikey < so->numberOfKeys; output_ikey++)
    2242              :     {
    2243         4848 :         ScanKey     outkey = so->keyData + output_ikey;
    2244              :         int         input_ikey;
    2245         4848 :         bool        found PG_USED_FOR_ASSERTS_ONLY = false;
    2246              : 
    2247              :         Assert(outkey->sk_strategy != InvalidStrategy);
    2248              : 
    2249         4848 :         if (outkey->sk_strategy != BTEqualStrategyNumber)
    2250           55 :             continue;
    2251              : 
    2252         4793 :         input_ikey = keyDataMap[output_ikey];
    2253              : 
    2254              :         Assert(last_equal_output_ikey < output_ikey);
    2255              :         Assert(last_equal_output_ikey < input_ikey);
    2256         4793 :         last_equal_output_ikey = output_ikey;
    2257              : 
    2258              :         /*
    2259              :          * We're lazy about looking up ORDER procs for non-array keys, since
    2260              :          * not all input keys become output keys.  Take care of it now.
    2261              :          */
    2262         4793 :         if (!(outkey->sk_flags & SK_SEARCHARRAY))
    2263         2280 :         {
    2264              :             Oid         elemtype;
    2265              : 
    2266              :             /* No need for an ORDER proc given an IS NULL scan key */
    2267         2307 :             if (outkey->sk_flags & SK_SEARCHNULL)
    2268           27 :                 continue;
    2269              : 
    2270              :             /*
    2271              :              * A non-required scan key doesn't need an ORDER proc, either
    2272              :              * (unless it's associated with an array, which this one isn't)
    2273              :              */
    2274         2280 :             if (!(outkey->sk_flags & SK_BT_REQFWD))
    2275            0 :                 continue;
    2276              : 
    2277         2280 :             elemtype = outkey->sk_subtype;
    2278         2280 :             if (elemtype == InvalidOid)
    2279         1306 :                 elemtype = rel->rd_opcintype[outkey->sk_attno - 1];
    2280              : 
    2281         2280 :             _bt_setup_array_cmp(scan, outkey, elemtype,
    2282         2280 :                                 &so->orderProcs[output_ikey], NULL);
    2283         2280 :             continue;
    2284              :         }
    2285              : 
    2286              :         /*
    2287              :          * Reorder existing array scan key so->orderProcs[] entries.
    2288              :          *
    2289              :          * Doing this in-place is safe because preprocessing is required to
    2290              :          * output all equality strategy scan keys in original input order
    2291              :          * (among each group of entries against the same index attribute).
    2292              :          * This is also the order that the arrays themselves appear in.
    2293              :          */
    2294         2486 :         so->orderProcs[output_ikey] = so->orderProcs[input_ikey];
    2295              : 
    2296              :         /* Fix-up array->scan_key references for arrays */
    2297         2486 :         for (; arrayidx < so->numArrayKeys; arrayidx++)
    2298              :         {
    2299         2486 :             BTArrayKeyInfo *array = &so->arrayKeys[arrayidx];
    2300              : 
    2301              :             /*
    2302              :              * All skip arrays must be marked required, and final column can
    2303              :              * never have a skip array
    2304              :              */
    2305              :             Assert(array->num_elems > 0 || array->num_elems == -1);
    2306              :             Assert(array->num_elems != -1 || outkey->sk_flags & SK_BT_REQFWD);
    2307              :             Assert(array->num_elems != -1 ||
    2308              :                    outkey->sk_attno < IndexRelationGetNumberOfKeyAttributes(rel));
    2309              : 
    2310         2486 :             if (array->scan_key == input_ikey)
    2311              :             {
    2312              :                 /* found it */
    2313         2486 :                 array->scan_key = output_ikey;
    2314         2486 :                 found = true;
    2315              : 
    2316              :                 /*
    2317              :                  * Transform array scan keys that have exactly 1 element
    2318              :                  * remaining (following all prior preprocessing) into
    2319              :                  * equivalent non-array scan keys.
    2320              :                  */
    2321         2486 :                 if (array->num_elems == 1)
    2322              :                 {
    2323            9 :                     outkey->sk_flags &= ~SK_SEARCHARRAY;
    2324            9 :                     outkey->sk_argument = array->elem_values[0];
    2325            9 :                     so->numArrayKeys--;
    2326              : 
    2327              :                     /* If we're out of array keys, we can quit right away */
    2328            9 :                     if (so->numArrayKeys == 0)
    2329            6 :                         return;
    2330              : 
    2331              :                     /* Shift other arrays forward */
    2332            3 :                     memmove(array, array + 1,
    2333              :                             sizeof(BTArrayKeyInfo) *
    2334            3 :                             (so->numArrayKeys - arrayidx));
    2335              : 
    2336              :                     /*
    2337              :                      * Don't increment arrayidx (there was an entry that was
    2338              :                      * just shifted forward to the offset at arrayidx, which
    2339              :                      * will still need to be matched)
    2340              :                      */
    2341              :                 }
    2342              :                 else
    2343              :                 {
    2344              :                     /*
    2345              :                      * Any skip array low_compare and high_compare scan keys
    2346              :                      * are now final.  Transform the array's > low_compare key
    2347              :                      * into a >= key (and < high_compare keys into a <= key).
    2348              :                      */
    2349         2477 :                     if (array->num_elems == -1 && array->sksup &&
    2350         1806 :                         !array->null_elem)
    2351           39 :                         _bt_skiparray_strat_adjust(scan, outkey, array);
    2352              : 
    2353              :                     /* Match found, so done with this array */
    2354         2477 :                     arrayidx++;
    2355              :                 }
    2356              : 
    2357         2480 :                 break;
    2358              :             }
    2359              :         }
    2360              : 
    2361              :         Assert(found);
    2362              :     }
    2363              : 
    2364              :     /*
    2365              :      * Parallel index scans require space in shared memory to store the
    2366              :      * current array elements (for arrays kept by preprocessing) to schedule
    2367              :      * the next primitive index scan.  The underlying structure is protected
    2368              :      * using an LWLock, so defensively limit its size.  In practice this can
    2369              :      * only affect parallel scans that use an incomplete opfamily.
    2370              :      */
    2371         2190 :     if (scan->parallel_scan && so->numArrayKeys > INDEX_MAX_KEYS)
    2372            0 :         ereport(ERROR,
    2373              :                 (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
    2374              :                  errmsg_internal("number of array scan keys left by preprocessing (%d) exceeds the maximum allowed by parallel btree index scans (%d)",
    2375              :                                  so->numArrayKeys, INDEX_MAX_KEYS)));
    2376              : }
    2377              : 
    2378              : /*
    2379              :  *  _bt_num_array_keys() -- determine # of BTArrayKeyInfo entries
    2380              :  *
    2381              :  * _bt_preprocess_array_keys helper function.  Returns the estimated size of
    2382              :  * the scan's BTArrayKeyInfo array, which is guaranteed to be large enough to
    2383              :  * fit every so->arrayKeys[] entry.
    2384              :  *
    2385              :  * Also sets *numSkipArrayKeys_out to the number of skip arrays caller must
    2386              :  * add to the scan keys it'll output.  Caller must add this many skip arrays:
    2387              :  * one array for each of the most significant attributes that lack a = input
    2388              :  * key (IS NULL keys count as = input keys here).  The specific attributes
    2389              :  * that need skip arrays are indicated by initializing skip_eq_ops_out[] arg
    2390              :  * 0-based attribute offset to a valid = op strategy Oid.  We'll only ever set
    2391              :  * skip_eq_ops_out[] entries to InvalidOid for attributes that already have an
    2392              :  * equality key in scan->keyData[] input keys -- and only when there's some
    2393              :  * later "attribute gap" for us to "fill-in" with a skip array.
    2394              :  *
    2395              :  * We're optimistic about skipping working out: we always add exactly the skip
    2396              :  * arrays needed to maximize the number of input scan keys that can ultimately
    2397              :  * be marked as required to continue the scan (but no more).  Given a
    2398              :  * multi-column index on (a, b, c, d), we add skip arrays as follows:
    2399              :  *
    2400              :  * Input keys                       Output keys (after all preprocessing)
    2401              :  * ----------                       -------------------------------------
    2402              :  * a = 1                            a = 1 (no skip arrays)
    2403              :  * b = 42                           skip a AND b = 42
    2404              :  * a = 1 AND b = 42                 a = 1 AND b = 42 (no skip arrays)
    2405              :  * a >= 1 AND b = 42             range skip a AND b = 42
    2406              :  * a = 1 AND b > 42                  a = 1 AND b > 42 (no skip arrays)
    2407              :  * a >= 1 AND a <= 3 AND b = 42       range skip a AND b = 42
    2408              :  * a = 1 AND c <= 27             a = 1 AND skip b AND c <= 27
    2409              :  * a = 1 AND d >= 1                  a = 1 AND skip b AND skip c AND d >= 1
    2410              :  * a = 1 AND b >= 42 AND d > 1        a = 1 AND range skip b AND skip c AND d > 1
    2411              :  */
    2412              : static int
    2413      8580163 : _bt_num_array_keys(IndexScanDesc scan, Oid *skip_eq_ops_out,
    2414              :                    int *numSkipArrayKeys_out)
    2415              : {
    2416      8580163 :     Relation    rel = scan->indexRelation;
    2417      8580163 :     AttrNumber  attno_skip = 1,
    2418      8580163 :                 attno_inkey = 1;
    2419      8580163 :     bool        attno_has_equal = false,
    2420      8580163 :                 attno_has_rowcompare = false;
    2421              :     int         numSAOPArrayKeys,
    2422              :                 numSkipArrayKeys,
    2423              :                 prev_numSkipArrayKeys;
    2424              : 
    2425              :     Assert(scan->numberOfKeys);
    2426              : 
    2427              :     /* Initial pass over input scan keys counts the number of SAOP arrays */
    2428      8580163 :     numSAOPArrayKeys = 0;
    2429      8580163 :     *numSkipArrayKeys_out = prev_numSkipArrayKeys = numSkipArrayKeys = 0;
    2430     22174856 :     for (int i = 0; i < scan->numberOfKeys; i++)
    2431              :     {
    2432     13594693 :         ScanKey     inkey = scan->keyData + i;
    2433              : 
    2434     13594693 :         if (inkey->sk_flags & SK_SEARCHARRAY)
    2435        33972 :             numSAOPArrayKeys++;
    2436              :     }
    2437              : 
    2438              : #ifdef DEBUG_DISABLE_SKIP_SCAN
    2439              :     /* don't attempt to add skip arrays */
    2440              :     return numSAOPArrayKeys;
    2441              : #endif
    2442              : 
    2443      8580163 :     for (int i = 0;; i++)
    2444     13594678 :     {
    2445     22174841 :         ScanKey     inkey = scan->keyData + i;
    2446              : 
    2447              :         /*
    2448              :          * Backfill skip arrays for any wholly omitted attributes prior to
    2449              :          * attno_inkey
    2450              :          */
    2451     22175261 :         while (attno_skip < attno_inkey)
    2452              :         {
    2453          420 :             Oid         opfamily = rel->rd_opfamily[attno_skip - 1];
    2454          420 :             Oid         opcintype = rel->rd_opcintype[attno_skip - 1];
    2455              : 
    2456              :             /* Look up input opclass's equality operator (might fail) */
    2457          840 :             skip_eq_ops_out[attno_skip - 1] =
    2458          420 :                 get_opfamily_member(opfamily, opcintype, opcintype,
    2459              :                                     BTEqualStrategyNumber);
    2460          420 :             if (!OidIsValid(skip_eq_ops_out[attno_skip - 1]))
    2461              :             {
    2462              :                 /*
    2463              :                  * Cannot generate a skip array for this or later attributes
    2464              :                  * (input opclass lacks an equality strategy operator)
    2465              :                  */
    2466            0 :                 *numSkipArrayKeys_out = prev_numSkipArrayKeys;
    2467            0 :                 return numSAOPArrayKeys + prev_numSkipArrayKeys;
    2468              :             }
    2469              : 
    2470              :             /* plan on adding a backfill skip array for this attribute */
    2471          420 :             numSkipArrayKeys++;
    2472          420 :             attno_skip++;
    2473              :         }
    2474              : 
    2475     22174841 :         prev_numSkipArrayKeys = numSkipArrayKeys;
    2476              : 
    2477              :         /*
    2478              :          * Stop once past the final input scan key.  We deliberately never add
    2479              :          * a skip array for the last input scan key's attribute -- even when
    2480              :          * there are only inequality keys on that attribute.
    2481              :          */
    2482     22174841 :         if (i == scan->numberOfKeys)
    2483      8580154 :             break;
    2484              : 
    2485              :         /*
    2486              :          * Later preprocessing steps cannot merge a RowCompare into a skip
    2487              :          * array, so stop adding skip arrays once we see one.  (Note that we
    2488              :          * can backfill skip arrays before a RowCompare, which will allow keys
    2489              :          * up to and including the RowCompare to be marked required.)
    2490              :          *
    2491              :          * Skip arrays work by maintaining a current array element value,
    2492              :          * which anchors lower-order keys via an implied equality constraint.
    2493              :          * This is incompatible with the current nbtree row comparison design,
    2494              :          * which compares all columns together, as an indivisible group.
    2495              :          * Alternative designs that can be used alongside skip arrays are
    2496              :          * possible, but it's not clear that they're really worth pursuing.
    2497              :          *
    2498              :          * A RowCompare qual "(a, b, c) > (10, 'foo', 42)" is equivalent to
    2499              :          * "(a=10 AND b='foo' AND c>42) OR (a=10 AND b>'foo') OR (a>10)".
    2500              :          * Decomposing this RowCompare into these 3 disjuncts allows each
    2501              :          * disjunct to be executed as a separate "single value" index scan.
    2502              :          * That'll give all 3 scans the ability to add skip arrays in the
    2503              :          * usual way (when there are any scalar keys after the RowCompare).
    2504              :          * Under this scheme, a qual "(a, b, c) > (10, 'foo', 42) AND d = 99"
    2505              :          * performs 3 separate scans, each of which can mark keys up to and
    2506              :          * including its "d = 99" key as required to continue the scan.
    2507              :          */
    2508     13594687 :         if (attno_has_rowcompare)
    2509            9 :             break;
    2510              : 
    2511              :         /*
    2512              :          * Now consider next attno_inkey (or keep going if this is an
    2513              :          * additional scan key against the same attribute)
    2514              :          */
    2515     13594678 :         if (attno_inkey < inkey->sk_attno)
    2516              :         {
    2517              :             /*
    2518              :              * Now add skip array for previous scan key's attribute, though
    2519              :              * only if the attribute has no equality strategy scan keys
    2520              :              */
    2521      5014961 :             if (attno_has_equal)
    2522              :             {
    2523              :                 /* Attributes with an = key must have InvalidOid eq_op set */
    2524      5013316 :                 skip_eq_ops_out[attno_skip - 1] = InvalidOid;
    2525              :             }
    2526              :             else
    2527              :             {
    2528         1645 :                 Oid         opfamily = rel->rd_opfamily[attno_skip - 1];
    2529         1645 :                 Oid         opcintype = rel->rd_opcintype[attno_skip - 1];
    2530              : 
    2531              :                 /* Look up input opclass's equality operator (might fail) */
    2532         3290 :                 skip_eq_ops_out[attno_skip - 1] =
    2533         1645 :                     get_opfamily_member(opfamily, opcintype, opcintype,
    2534              :                                         BTEqualStrategyNumber);
    2535              : 
    2536         1645 :                 if (!OidIsValid(skip_eq_ops_out[attno_skip - 1]))
    2537              :                 {
    2538              :                     /*
    2539              :                      * Input opclass lacks an equality strategy operator, so
    2540              :                      * don't generate a skip array that definitely won't work
    2541              :                      */
    2542            0 :                     break;
    2543              :                 }
    2544              : 
    2545              :                 /* plan on adding a backfill skip array for this attribute */
    2546         1645 :                 numSkipArrayKeys++;
    2547              :             }
    2548              : 
    2549              :             /* Set things up for this new attribute */
    2550      5014961 :             attno_skip++;
    2551      5014961 :             attno_inkey = inkey->sk_attno;
    2552      5014961 :             attno_has_equal = false;
    2553              :         }
    2554              : 
    2555              :         /*
    2556              :          * Track if this attribute's scan keys include any equality strategy
    2557              :          * scan keys (IS NULL keys count as equality keys here).  Also track
    2558              :          * if it has any RowCompare keys.
    2559              :          */
    2560     13594678 :         if (inkey->sk_strategy == BTEqualStrategyNumber ||
    2561       942728 :             (inkey->sk_flags & SK_SEARCHNULL))
    2562     12652022 :             attno_has_equal = true;
    2563     13594678 :         if (inkey->sk_flags & SK_ROW_HEADER)
    2564           42 :             attno_has_rowcompare = true;
    2565              :     }
    2566              : 
    2567      8580163 :     *numSkipArrayKeys_out = numSkipArrayKeys;
    2568      8580163 :     return numSAOPArrayKeys + numSkipArrayKeys;
    2569              : }
    2570              : 
    2571              : /*
    2572              :  * _bt_find_extreme_element() -- get least or greatest array element
    2573              :  *
    2574              :  * scan and skey identify the index column, whose opfamily determines the
    2575              :  * comparison semantics.  strat should be BTLessStrategyNumber to get the
    2576              :  * least element, or BTGreaterStrategyNumber to get the greatest.
    2577              :  */
    2578              : static Datum
    2579            6 : _bt_find_extreme_element(IndexScanDesc scan, ScanKey skey, Oid elemtype,
    2580              :                          StrategyNumber strat,
    2581              :                          const Datum *elems, int nelems)
    2582              : {
    2583            6 :     Relation    rel = scan->indexRelation;
    2584              :     Oid         cmp_op;
    2585              :     RegProcedure cmp_proc;
    2586              :     FmgrInfo    flinfo;
    2587              :     Datum       result;
    2588              :     int         i;
    2589              : 
    2590              :     /*
    2591              :      * Look up the appropriate comparison operator in the opfamily.
    2592              :      *
    2593              :      * Note: it's possible that this would fail, if the opfamily is
    2594              :      * incomplete, but it seems quite unlikely that an opfamily would omit
    2595              :      * non-cross-type comparison operators for any datatype that it supports
    2596              :      * at all.
    2597              :      */
    2598              :     Assert(skey->sk_strategy != BTEqualStrategyNumber);
    2599              :     Assert(OidIsValid(elemtype));
    2600            6 :     cmp_op = get_opfamily_member(rel->rd_opfamily[skey->sk_attno - 1],
    2601              :                                  elemtype,
    2602              :                                  elemtype,
    2603              :                                  strat);
    2604            6 :     if (!OidIsValid(cmp_op))
    2605            0 :         elog(ERROR, "missing operator %d(%u,%u) in opfamily %u",
    2606              :              strat, elemtype, elemtype,
    2607              :              rel->rd_opfamily[skey->sk_attno - 1]);
    2608            6 :     cmp_proc = get_opcode(cmp_op);
    2609            6 :     if (!RegProcedureIsValid(cmp_proc))
    2610            0 :         elog(ERROR, "missing oprcode for operator %u", cmp_op);
    2611              : 
    2612            6 :     fmgr_info(cmp_proc, &flinfo);
    2613              : 
    2614              :     Assert(nelems > 0);
    2615            6 :     result = elems[0];
    2616           18 :     for (i = 1; i < nelems; i++)
    2617              :     {
    2618           12 :         if (DatumGetBool(FunctionCall2Coll(&flinfo,
    2619              :                                            skey->sk_collation,
    2620           12 :                                            elems[i],
    2621              :                                            result)))
    2622            3 :             result = elems[i];
    2623              :     }
    2624              : 
    2625            6 :     return result;
    2626              : }
    2627              : 
    2628              : /*
    2629              :  * _bt_setup_array_cmp() -- Set up array comparison functions
    2630              :  *
    2631              :  * Sets ORDER proc in caller's orderproc argument, which is used during binary
    2632              :  * searches of arrays during the index scan.  Also sets a same-type ORDER proc
    2633              :  * in caller's *sortprocp argument, which is used when sorting the array.
    2634              :  *
    2635              :  * Preprocessing calls here with all equality strategy scan keys (when scan
    2636              :  * uses equality array keys), including those not associated with any array.
    2637              :  * See _bt_advance_array_keys for an explanation of why it'll need to treat
    2638              :  * simple scalar equality scan keys as degenerate single element arrays.
    2639              :  *
    2640              :  * Caller should pass an orderproc pointing to space that'll store the ORDER
    2641              :  * proc for the scan, and a *sortprocp pointing to its own separate space.
    2642              :  * When calling here for a non-array scan key, sortprocp arg should be NULL.
    2643              :  *
    2644              :  * In the common case where we don't need to deal with cross-type operators,
    2645              :  * only one ORDER proc is actually required by caller.  We'll set *sortprocp
    2646              :  * to point to the same memory that caller's orderproc continues to point to.
    2647              :  * Otherwise, *sortprocp will continue to point to caller's own space.  Either
    2648              :  * way, *sortprocp will point to a same-type ORDER proc (since that's the only
    2649              :  * safe way to sort/deduplicate the array associated with caller's scan key).
    2650              :  */
    2651              : static void
    2652        38305 : _bt_setup_array_cmp(IndexScanDesc scan, ScanKey skey, Oid elemtype,
    2653              :                     FmgrInfo *orderproc, FmgrInfo **sortprocp)
    2654              : {
    2655        38305 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    2656        38305 :     Relation    rel = scan->indexRelation;
    2657              :     RegProcedure cmp_proc;
    2658        38305 :     Oid         opcintype = rel->rd_opcintype[skey->sk_attno - 1];
    2659              : 
    2660              :     Assert(skey->sk_strategy == BTEqualStrategyNumber);
    2661              :     Assert(OidIsValid(elemtype));
    2662              : 
    2663              :     /*
    2664              :      * If scankey operator is not a cross-type comparison, we can use the
    2665              :      * cached comparison function; otherwise gotta look it up in the catalogs
    2666              :      */
    2667        38305 :     if (elemtype == opcintype)
    2668              :     {
    2669              :         /* Set same-type ORDER procs for caller */
    2670        38167 :         *orderproc = *index_getprocinfo(rel, skey->sk_attno, BTORDER_PROC);
    2671        38167 :         if (sortprocp)
    2672        33957 :             *sortprocp = orderproc;
    2673              : 
    2674        38167 :         return;
    2675              :     }
    2676              : 
    2677              :     /*
    2678              :      * Look up the appropriate cross-type comparison function in the opfamily.
    2679              :      *
    2680              :      * Use the opclass input type as the left hand arg type, and the array
    2681              :      * element type as the right hand arg type (since binary searches use an
    2682              :      * index tuple's attribute value to search for a matching array element).
    2683              :      *
    2684              :      * Note: it's possible that this would fail, if the opfamily is
    2685              :      * incomplete, but only in cases where it's quite likely that _bt_first
    2686              :      * would fail in just the same way (had we not failed before it could).
    2687              :      */
    2688          138 :     cmp_proc = get_opfamily_proc(rel->rd_opfamily[skey->sk_attno - 1],
    2689              :                                  opcintype, elemtype, BTORDER_PROC);
    2690          138 :     if (!RegProcedureIsValid(cmp_proc))
    2691            0 :         elog(ERROR, "missing support function %d(%u,%u) for attribute %d of index \"%s\"",
    2692              :              BTORDER_PROC, opcintype, elemtype, skey->sk_attno,
    2693              :              RelationGetRelationName(rel));
    2694              : 
    2695              :     /* Set cross-type ORDER proc for caller */
    2696          138 :     fmgr_info_cxt(cmp_proc, orderproc, so->arrayContext);
    2697              : 
    2698              :     /* Done if caller doesn't actually have an array they'll need to sort */
    2699          138 :     if (!sortprocp)
    2700          135 :         return;
    2701              : 
    2702              :     /*
    2703              :      * Look up the appropriate same-type comparison function in the opfamily.
    2704              :      *
    2705              :      * Note: it's possible that this would fail, if the opfamily is
    2706              :      * incomplete, but it seems quite unlikely that an opfamily would omit
    2707              :      * non-cross-type comparison procs for any datatype that it supports at
    2708              :      * all.
    2709              :      */
    2710            3 :     cmp_proc = get_opfamily_proc(rel->rd_opfamily[skey->sk_attno - 1],
    2711              :                                  elemtype, elemtype, BTORDER_PROC);
    2712            3 :     if (!RegProcedureIsValid(cmp_proc))
    2713            0 :         elog(ERROR, "missing support function %d(%u,%u) for attribute %d of index \"%s\"",
    2714              :              BTORDER_PROC, elemtype, elemtype,
    2715              :              skey->sk_attno, RelationGetRelationName(rel));
    2716              : 
    2717              :     /* Set same-type ORDER proc for caller */
    2718            3 :     fmgr_info_cxt(cmp_proc, *sortprocp, so->arrayContext);
    2719              : }
    2720              : 
    2721              : /*
    2722              :  * _bt_sort_array_elements() -- sort and de-dup array elements
    2723              :  *
    2724              :  * The array elements are sorted in-place, and the new number of elements
    2725              :  * after duplicate removal is returned.
    2726              :  *
    2727              :  * skey identifies the index column whose opfamily determines the comparison
    2728              :  * semantics, and sortproc is a corresponding ORDER proc.  If reverse is true,
    2729              :  * we sort in descending order.
    2730              :  */
    2731              : static int
    2732        33960 : _bt_sort_array_elements(ScanKey skey, FmgrInfo *sortproc, bool reverse,
    2733              :                         Datum *elems, int nelems)
    2734              : {
    2735              :     BTSortArrayContext cxt;
    2736              : 
    2737        33960 :     if (nelems <= 1)
    2738           27 :         return nelems;          /* no work to do */
    2739              : 
    2740              :     /* Sort the array elements */
    2741        33933 :     cxt.sortproc = sortproc;
    2742        33933 :     cxt.collation = skey->sk_collation;
    2743        33933 :     cxt.reverse = reverse;
    2744        33933 :     qsort_arg(elems, nelems, sizeof(Datum),
    2745              :               _bt_compare_array_elements, &cxt);
    2746              : 
    2747              :     /* Now scan the sorted elements and remove duplicates */
    2748        33933 :     return qunique_arg(elems, nelems, sizeof(Datum),
    2749              :                        _bt_compare_array_elements, &cxt);
    2750              : }
    2751              : 
    2752              : /*
    2753              :  * _bt_merge_arrays() -- merge next array's elements into an original array
    2754              :  *
    2755              :  * Called when preprocessing encounters a pair of array equality scan keys,
    2756              :  * both against the same index attribute (during initial array preprocessing).
    2757              :  * Merging reorganizes caller's original array (the left hand arg) in-place,
    2758              :  * without ever copying elements from one array into the other. (Mixing the
    2759              :  * elements together like this would be wrong, since they don't necessarily
    2760              :  * use the same underlying element type, despite all the other similarities.)
    2761              :  *
    2762              :  * Both arrays must have already been sorted and deduplicated by calling
    2763              :  * _bt_sort_array_elements.  sortproc is the same-type ORDER proc that was
    2764              :  * just used to sort and deduplicate caller's "next" array.  We'll usually be
    2765              :  * able to reuse that order PROC to merge the arrays together now.  If not,
    2766              :  * then we'll perform a separate ORDER proc lookup.
    2767              :  *
    2768              :  * If the opfamily doesn't supply a complete set of cross-type ORDER procs we
    2769              :  * may not be able to determine which elements are contradictory.  If we have
    2770              :  * the required ORDER proc then we return true (and validly set *nelems_orig),
    2771              :  * guaranteeing that at least the next array can be considered redundant.  We
    2772              :  * return false if the required comparisons cannot be made (caller must keep
    2773              :  * both arrays when this happens).
    2774              :  */
    2775              : static bool
    2776            6 : _bt_merge_arrays(IndexScanDesc scan, ScanKey skey, FmgrInfo *sortproc,
    2777              :                  bool reverse, Oid origelemtype, Oid nextelemtype,
    2778              :                  Datum *elems_orig, int *nelems_orig,
    2779              :                  Datum *elems_next, int nelems_next)
    2780              : {
    2781            6 :     Relation    rel = scan->indexRelation;
    2782            6 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    2783              :     BTSortArrayContext cxt;
    2784            6 :     int         nelems_orig_start = *nelems_orig,
    2785            6 :                 nelems_orig_merged = 0;
    2786            6 :     FmgrInfo   *mergeproc = sortproc;
    2787              :     FmgrInfo    crosstypeproc;
    2788              : 
    2789              :     Assert(skey->sk_strategy == BTEqualStrategyNumber);
    2790              :     Assert(OidIsValid(origelemtype) && OidIsValid(nextelemtype));
    2791              : 
    2792            6 :     if (origelemtype != nextelemtype)
    2793              :     {
    2794              :         RegProcedure cmp_proc;
    2795              : 
    2796              :         /*
    2797              :          * Cross-array-element-type merging is required, so can't just reuse
    2798              :          * sortproc when merging
    2799              :          */
    2800            3 :         cmp_proc = get_opfamily_proc(rel->rd_opfamily[skey->sk_attno - 1],
    2801              :                                      origelemtype, nextelemtype, BTORDER_PROC);
    2802            3 :         if (!RegProcedureIsValid(cmp_proc))
    2803              :         {
    2804              :             /* Can't make the required comparisons */
    2805            0 :             return false;
    2806              :         }
    2807              : 
    2808              :         /* We have all we need to determine redundancy/contradictoriness */
    2809            3 :         mergeproc = &crosstypeproc;
    2810            3 :         fmgr_info_cxt(cmp_proc, mergeproc, so->arrayContext);
    2811              :     }
    2812              : 
    2813            6 :     cxt.sortproc = mergeproc;
    2814            6 :     cxt.collation = skey->sk_collation;
    2815            6 :     cxt.reverse = reverse;
    2816              : 
    2817           27 :     for (int i = 0, j = 0; i < nelems_orig_start && j < nelems_next;)
    2818              :     {
    2819           21 :         Datum      *oelem = elems_orig + i,
    2820           21 :                    *nelem = elems_next + j;
    2821           21 :         int         res = _bt_compare_array_elements(oelem, nelem, &cxt);
    2822              : 
    2823           21 :         if (res == 0)
    2824              :         {
    2825            3 :             elems_orig[nelems_orig_merged++] = *oelem;
    2826            3 :             i++;
    2827            3 :             j++;
    2828              :         }
    2829           18 :         else if (res < 0)
    2830           12 :             i++;
    2831              :         else                    /* res > 0 */
    2832            6 :             j++;
    2833              :     }
    2834              : 
    2835            6 :     *nelems_orig = nelems_orig_merged;
    2836              : 
    2837            6 :     return true;
    2838              : }
    2839              : 
    2840              : /*
    2841              :  * qsort_arg comparator for sorting array elements
    2842              :  */
    2843              : static int
    2844       151539 : _bt_compare_array_elements(const void *a, const void *b, void *arg)
    2845              : {
    2846       151539 :     Datum       da = *((const Datum *) a);
    2847       151539 :     Datum       db = *((const Datum *) b);
    2848       151539 :     BTSortArrayContext *cxt = (BTSortArrayContext *) arg;
    2849              :     int32       compare;
    2850              : 
    2851       151539 :     compare = DatumGetInt32(FunctionCall2Coll(cxt->sortproc,
    2852              :                                               cxt->collation,
    2853              :                                               da, db));
    2854       151539 :     if (cxt->reverse)
    2855           15 :         INVERT_COMPARE_RESULT(compare);
    2856       151539 :     return compare;
    2857              : }
        

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