LCOV - code coverage report
Current view: top level - src/backend/access/nbtree - nbtpreprocesskeys.c (source / functions) Hit Total Coverage
Test: PostgreSQL 18devel Lines: 445 511 87.1 %
Date: 2025-01-18 05:15:39 Functions: 12 12 100.0 %
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) 1996-2025, 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 "lib/qunique.h"
      20             : #include "utils/array.h"
      21             : #include "utils/lsyscache.h"
      22             : #include "utils/memutils.h"
      23             : 
      24             : typedef struct BTScanKeyPreproc
      25             : {
      26             :     ScanKey     inkey;
      27             :     int         inkeyi;
      28             :     int         arrayidx;
      29             : } BTScanKeyPreproc;
      30             : 
      31             : typedef struct BTSortArrayContext
      32             : {
      33             :     FmgrInfo   *sortproc;
      34             :     Oid         collation;
      35             :     bool        reverse;
      36             : } BTSortArrayContext;
      37             : 
      38             : static bool _bt_fix_scankey_strategy(ScanKey skey, int16 *indoption);
      39             : static void _bt_mark_scankey_required(ScanKey skey);
      40             : static bool _bt_compare_scankey_args(IndexScanDesc scan, ScanKey op,
      41             :                                      ScanKey leftarg, ScanKey rightarg,
      42             :                                      BTArrayKeyInfo *array, FmgrInfo *orderproc,
      43             :                                      bool *result);
      44             : static bool _bt_compare_array_scankey_args(IndexScanDesc scan,
      45             :                                            ScanKey arraysk, ScanKey skey,
      46             :                                            FmgrInfo *orderproc, BTArrayKeyInfo *array,
      47             :                                            bool *qual_ok);
      48             : static ScanKey _bt_preprocess_array_keys(IndexScanDesc scan, int *new_numberOfKeys);
      49             : static void _bt_preprocess_array_keys_final(IndexScanDesc scan, int *keyDataMap);
      50             : static Datum _bt_find_extreme_element(IndexScanDesc scan, ScanKey skey,
      51             :                                       Oid elemtype, StrategyNumber strat,
      52             :                                       Datum *elems, int nelems);
      53             : static void _bt_setup_array_cmp(IndexScanDesc scan, ScanKey skey, Oid elemtype,
      54             :                                 FmgrInfo *orderproc, FmgrInfo **sortprocp);
      55             : static int  _bt_sort_array_elements(ScanKey skey, FmgrInfo *sortproc,
      56             :                                     bool reverse, Datum *elems, int nelems);
      57             : static bool _bt_merge_arrays(IndexScanDesc scan, ScanKey skey,
      58             :                              FmgrInfo *sortproc, bool reverse,
      59             :                              Oid origelemtype, Oid nextelemtype,
      60             :                              Datum *elems_orig, int *nelems_orig,
      61             :                              Datum *elems_next, int nelems_next);
      62             : static int  _bt_compare_array_elements(const void *a, const void *b, void *arg);
      63             : 
      64             : 
      65             : /*
      66             :  *  _bt_preprocess_keys() -- Preprocess scan keys
      67             :  *
      68             :  * The given search-type keys (taken from scan->keyData[])
      69             :  * are copied to so->keyData[] with possible transformation.
      70             :  * scan->numberOfKeys is the number of input keys, so->numberOfKeys gets
      71             :  * the number of output keys.  Calling here a second or subsequent time
      72             :  * (during the same btrescan) is a no-op.
      73             :  *
      74             :  * The output keys are marked with additional sk_flags bits beyond the
      75             :  * system-standard bits supplied by the caller.  The DESC and NULLS_FIRST
      76             :  * indoption bits for the relevant index attribute are copied into the flags.
      77             :  * Also, for a DESC column, we commute (flip) all the sk_strategy numbers
      78             :  * so that the index sorts in the desired direction.
      79             :  *
      80             :  * One key purpose of this routine is to discover which scan keys must be
      81             :  * satisfied to continue the scan.  It also attempts to eliminate redundant
      82             :  * keys and detect contradictory keys.  (If the index opfamily provides
      83             :  * incomplete sets of cross-type operators, we may fail to detect redundant
      84             :  * or contradictory keys, but we can survive that.)
      85             :  *
      86             :  * The output keys must be sorted by index attribute.  Presently we expect
      87             :  * (but verify) that the input keys are already so sorted --- this is done
      88             :  * by match_clauses_to_index() in indxpath.c.  Some reordering of the keys
      89             :  * within each attribute may be done as a byproduct of the processing here.
      90             :  * That process must leave array scan keys (within an attribute) in the same
      91             :  * order as corresponding entries from the scan's BTArrayKeyInfo array info.
      92             :  *
      93             :  * The output keys are marked with flags SK_BT_REQFWD and/or SK_BT_REQBKWD
      94             :  * if they must be satisfied in order to continue the scan forward or backward
      95             :  * respectively.  _bt_checkkeys uses these flags.  For example, if the quals
      96             :  * are "x = 1 AND y < 4 AND z < 5", then _bt_checkkeys will reject a tuple
      97             :  * (1,2,7), but we must continue the scan in case there are tuples (1,3,z).
      98             :  * But once we reach tuples like (1,4,z) we can stop scanning because no
      99             :  * later tuples could match.  This is reflected by marking the x and y keys,
     100             :  * but not the z key, with SK_BT_REQFWD.  In general, the keys for leading
     101             :  * attributes with "=" keys are marked both SK_BT_REQFWD and SK_BT_REQBKWD.
     102             :  * For the first attribute without an "=" key, any "<" and "<=" keys are
     103             :  * marked SK_BT_REQFWD while any ">" and ">=" keys are marked SK_BT_REQBKWD.
     104             :  * This can be seen to be correct by considering the above example.  Note
     105             :  * in particular that if there are no keys for a given attribute, the keys for
     106             :  * subsequent attributes can never be required; for instance "WHERE y = 4"
     107             :  * requires a full-index scan.
     108             :  *
     109             :  * If possible, redundant keys are eliminated: we keep only the tightest
     110             :  * >/>= bound and the tightest </<= bound, and if there's an = key then
     111             :  * that's the only one returned.  (So, we return either a single = key,
     112             :  * or one or two boundary-condition keys for each attr.)  However, if we
     113             :  * cannot compare two keys for lack of a suitable cross-type operator,
     114             :  * we cannot eliminate either.  If there are two such keys of the same
     115             :  * operator strategy, the second one is just pushed into the output array
     116             :  * without further processing here.  We may also emit both >/>= or both
     117             :  * </<= keys if we can't compare them.  The logic about required keys still
     118             :  * works if we don't eliminate redundant keys.
     119             :  *
     120             :  * Note that one reason we need direction-sensitive required-key flags is
     121             :  * precisely that we may not be able to eliminate redundant keys.  Suppose
     122             :  * we have "x > 4::int AND x > 10::bigint", and we are unable to determine
     123             :  * which key is more restrictive for lack of a suitable cross-type operator.
     124             :  * _bt_first will arbitrarily pick one of the keys to do the initial
     125             :  * positioning with.  If it picks x > 4, then the x > 10 condition will fail
     126             :  * until we reach index entries > 10; but we can't stop the scan just because
     127             :  * x > 10 is failing.  On the other hand, if we are scanning backwards, then
     128             :  * failure of either key is indeed enough to stop the scan.  (In general, when
     129             :  * inequality keys are present, the initial-positioning code only promises to
     130             :  * position before the first possible match, not exactly at the first match,
     131             :  * for a forward scan; or after the last match for a backward scan.)
     132             :  *
     133             :  * As a byproduct of this work, we can detect contradictory quals such
     134             :  * as "x = 1 AND x > 2".  If we see that, we return so->qual_ok = false,
     135             :  * indicating the scan need not be run at all since no tuples can match.
     136             :  * (In this case we do not bother completing the output key array!)
     137             :  * Again, missing cross-type operators might cause us to fail to prove the
     138             :  * quals contradictory when they really are, but the scan will work correctly.
     139             :  *
     140             :  * Row comparison keys are currently also treated without any smarts:
     141             :  * we just transfer them into the preprocessed array without any
     142             :  * editorialization.  We can treat them the same as an ordinary inequality
     143             :  * comparison on the row's first index column, for the purposes of the logic
     144             :  * about required keys.
     145             :  *
     146             :  * Note: the reason we have to copy the preprocessed scan keys into private
     147             :  * storage is that we are modifying the array based on comparisons of the
     148             :  * key argument values, which could change on a rescan.  Therefore we can't
     149             :  * overwrite the source data.
     150             :  */
     151             : void
     152    13413216 : _bt_preprocess_keys(IndexScanDesc scan)
     153             : {
     154    13413216 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
     155    13413216 :     int         numberOfKeys = scan->numberOfKeys;
     156    13413216 :     int16      *indoption = scan->indexRelation->rd_indoption;
     157             :     int         new_numberOfKeys;
     158             :     int         numberOfEqualCols;
     159             :     ScanKey     inkeys;
     160             :     BTScanKeyPreproc xform[BTMaxStrategyNumber];
     161             :     bool        test_result;
     162             :     AttrNumber  attno;
     163             :     ScanKey     arrayKeyData;
     164    13413216 :     int        *keyDataMap = NULL;
     165    13413216 :     int         arrayidx = 0;
     166             : 
     167    13413216 :     if (so->numberOfKeys > 0)
     168             :     {
     169             :         /*
     170             :          * Only need to do preprocessing once per btrescan, at most.  All
     171             :          * calls after the first are handled as no-ops.
     172             :          */
     173     6805236 :         return;
     174             :     }
     175             : 
     176             :     /* initialize result variables */
     177    13412570 :     so->qual_ok = true;
     178    13412570 :     so->numberOfKeys = 0;
     179             : 
     180    13412570 :     if (numberOfKeys < 1)
     181       12496 :         return;                 /* done if qual-less scan */
     182             : 
     183             :     /* If any keys are SK_SEARCHARRAY type, set up array-key info */
     184    13400074 :     arrayKeyData = _bt_preprocess_array_keys(scan, &numberOfKeys);
     185    13400074 :     if (!so->qual_ok)
     186             :     {
     187             :         /* unmatchable array, so give up */
     188           6 :         return;
     189             :     }
     190             : 
     191             :     /*
     192             :      * Treat arrayKeyData[] (a partially preprocessed copy of scan->keyData[])
     193             :      * as our input if _bt_preprocess_array_keys just allocated it, else just
     194             :      * use scan->keyData[]
     195             :      */
     196    13400068 :     if (arrayKeyData)
     197             :     {
     198        1106 :         inkeys = arrayKeyData;
     199             : 
     200             :         /* Also maintain keyDataMap for remapping so->orderProcs[] later */
     201        1106 :         keyDataMap = MemoryContextAlloc(so->arrayContext,
     202             :                                         numberOfKeys * sizeof(int));
     203             :     }
     204             :     else
     205    13398962 :         inkeys = scan->keyData;
     206             : 
     207             :     /* we check that input keys are correctly ordered */
     208    13400068 :     if (inkeys[0].sk_attno < 1)
     209           0 :         elog(ERROR, "btree index keys must be ordered by attribute");
     210             : 
     211             :     /* We can short-circuit most of the work if there's just one key */
     212    13400068 :     if (numberOfKeys == 1)
     213             :     {
     214             :         /* Apply indoption to scankey (might change sk_strategy!) */
     215     6792028 :         if (!_bt_fix_scankey_strategy(&inkeys[0], indoption))
     216         978 :             so->qual_ok = false;
     217     6792028 :         memcpy(&so->keyData[0], &inkeys[0], sizeof(ScanKeyData));
     218     6792028 :         so->numberOfKeys = 1;
     219             :         /* We can mark the qual as required if it's for first index col */
     220     6792028 :         if (inkeys[0].sk_attno == 1)
     221     6789316 :             _bt_mark_scankey_required(&so->keyData[0]);
     222             :         if (arrayKeyData)
     223             :         {
     224             :             /*
     225             :              * Don't call _bt_preprocess_array_keys_final in this fast path
     226             :              * (we'll miss out on the single value array transformation, but
     227             :              * that's not nearly as important when there's only one scan key)
     228             :              */
     229             :             Assert(so->keyData[0].sk_flags & SK_SEARCHARRAY);
     230             :             Assert(so->keyData[0].sk_strategy != BTEqualStrategyNumber ||
     231             :                    (so->arrayKeys[0].scan_key == 0 &&
     232             :                     OidIsValid(so->orderProcs[0].fn_oid)));
     233             :         }
     234             : 
     235     6792028 :         return;
     236             :     }
     237             : 
     238             :     /*
     239             :      * Otherwise, do the full set of pushups.
     240             :      */
     241     6608040 :     new_numberOfKeys = 0;
     242     6608040 :     numberOfEqualCols = 0;
     243             : 
     244             :     /*
     245             :      * Initialize for processing of keys for attr 1.
     246             :      *
     247             :      * xform[i] points to the currently best scan key of strategy type i+1; it
     248             :      * is NULL if we haven't yet found such a key for this attr.
     249             :      */
     250     6608040 :     attno = 1;
     251     6608040 :     memset(xform, 0, sizeof(xform));
     252             : 
     253             :     /*
     254             :      * Loop iterates from 0 to numberOfKeys inclusive; we use the last pass to
     255             :      * handle after-last-key processing.  Actual exit from the loop is at the
     256             :      * "break" statement below.
     257             :      */
     258     6608040 :     for (int i = 0;; i++)
     259    14573698 :     {
     260    21181738 :         ScanKey     inkey = inkeys + i;
     261             :         int         j;
     262             : 
     263    21181738 :         if (i < numberOfKeys)
     264             :         {
     265             :             /* Apply indoption to scankey (might change sk_strategy!) */
     266    14573722 :             if (!_bt_fix_scankey_strategy(inkey, indoption))
     267             :             {
     268             :                 /* NULL can't be matched, so give up */
     269          18 :                 so->qual_ok = false;
     270          18 :                 return;
     271             :             }
     272             :         }
     273             : 
     274             :         /*
     275             :          * If we are at the end of the keys for a particular attr, finish up
     276             :          * processing and emit the cleaned-up keys.
     277             :          */
     278    21181720 :         if (i == numberOfKeys || inkey->sk_attno != attno)
     279             :         {
     280    14571564 :             int         priorNumberOfEqualCols = numberOfEqualCols;
     281             : 
     282             :             /* check input keys are correctly ordered */
     283    14571564 :             if (i < numberOfKeys && inkey->sk_attno < attno)
     284           0 :                 elog(ERROR, "btree index keys must be ordered by attribute");
     285             : 
     286             :             /*
     287             :              * If = has been specified, all other keys can be eliminated as
     288             :              * redundant.  Note that this is no less true if the = key is
     289             :              * SEARCHARRAY; the only real difference is that the inequality
     290             :              * key _becomes_ redundant by making _bt_compare_scankey_args
     291             :              * eliminate the subset of elements that won't need to be matched.
     292             :              *
     293             :              * If we have a case like "key = 1 AND key > 2", we set qual_ok to
     294             :              * false and abandon further processing.  We'll do the same thing
     295             :              * given a case like "key IN (0, 1) AND key > 2".
     296             :              *
     297             :              * We also have to deal with the case of "key IS NULL", which is
     298             :              * unsatisfiable in combination with any other index condition. By
     299             :              * the time we get here, that's been classified as an equality
     300             :              * check, and we've rejected any combination of it with a regular
     301             :              * equality condition; but not with other types of conditions.
     302             :              */
     303    14571564 :             if (xform[BTEqualStrategyNumber - 1].inkey)
     304             :             {
     305    13214512 :                 ScanKey     eq = xform[BTEqualStrategyNumber - 1].inkey;
     306    13214512 :                 BTArrayKeyInfo *array = NULL;
     307    13214512 :                 FmgrInfo   *orderproc = NULL;
     308             : 
     309    13214512 :                 if (arrayKeyData && (eq->sk_flags & SK_SEARCHARRAY))
     310             :                 {
     311             :                     int         eq_in_ikey,
     312             :                                 eq_arrayidx;
     313             : 
     314         756 :                     eq_in_ikey = xform[BTEqualStrategyNumber - 1].inkeyi;
     315         756 :                     eq_arrayidx = xform[BTEqualStrategyNumber - 1].arrayidx;
     316         756 :                     array = &so->arrayKeys[eq_arrayidx - 1];
     317         756 :                     orderproc = so->orderProcs + eq_in_ikey;
     318             : 
     319             :                     Assert(array->scan_key == eq_in_ikey);
     320             :                     Assert(OidIsValid(orderproc->fn_oid));
     321             :                 }
     322             : 
     323    79286916 :                 for (j = BTMaxStrategyNumber; --j >= 0;)
     324             :                 {
     325    66072440 :                     ScanKey     chk = xform[j].inkey;
     326             : 
     327    66072440 :                     if (!chk || j == (BTEqualStrategyNumber - 1))
     328    66072210 :                         continue;
     329             : 
     330         230 :                     if (eq->sk_flags & SK_SEARCHNULL)
     331             :                     {
     332             :                         /* IS NULL is contradictory to anything else */
     333          24 :                         so->qual_ok = false;
     334          24 :                         return;
     335             :                     }
     336             : 
     337         206 :                     if (_bt_compare_scankey_args(scan, chk, eq, chk,
     338             :                                                  array, orderproc,
     339             :                                                  &test_result))
     340             :                     {
     341         206 :                         if (!test_result)
     342             :                         {
     343             :                             /* keys proven mutually contradictory */
     344          12 :                             so->qual_ok = false;
     345          12 :                             return;
     346             :                         }
     347             :                         /* else discard the redundant non-equality key */
     348             :                         Assert(!array || array->num_elems > 0);
     349         194 :                         xform[j].inkey = NULL;
     350         194 :                         xform[j].inkeyi = -1;
     351             :                     }
     352             :                     /* else, cannot determine redundancy, keep both keys */
     353             :                 }
     354             :                 /* track number of attrs for which we have "=" keys */
     355    13214476 :                 numberOfEqualCols++;
     356             :             }
     357             : 
     358             :             /* try to keep only one of <, <= */
     359    14571528 :             if (xform[BTLessStrategyNumber - 1].inkey &&
     360        1976 :                 xform[BTLessEqualStrategyNumber - 1].inkey)
     361             :             {
     362           6 :                 ScanKey     lt = xform[BTLessStrategyNumber - 1].inkey;
     363           6 :                 ScanKey     le = xform[BTLessEqualStrategyNumber - 1].inkey;
     364             : 
     365           6 :                 if (_bt_compare_scankey_args(scan, le, lt, le, NULL, NULL,
     366             :                                              &test_result))
     367             :                 {
     368           6 :                     if (test_result)
     369           6 :                         xform[BTLessEqualStrategyNumber - 1].inkey = NULL;
     370             :                     else
     371           0 :                         xform[BTLessStrategyNumber - 1].inkey = NULL;
     372             :                 }
     373             :             }
     374             : 
     375             :             /* try to keep only one of >, >= */
     376    14571528 :             if (xform[BTGreaterStrategyNumber - 1].inkey &&
     377     1352692 :                 xform[BTGreaterEqualStrategyNumber - 1].inkey)
     378             :             {
     379           6 :                 ScanKey     gt = xform[BTGreaterStrategyNumber - 1].inkey;
     380           6 :                 ScanKey     ge = xform[BTGreaterEqualStrategyNumber - 1].inkey;
     381             : 
     382           6 :                 if (_bt_compare_scankey_args(scan, ge, gt, ge, NULL, NULL,
     383             :                                              &test_result))
     384             :                 {
     385           6 :                     if (test_result)
     386           0 :                         xform[BTGreaterEqualStrategyNumber - 1].inkey = NULL;
     387             :                     else
     388           6 :                         xform[BTGreaterStrategyNumber - 1].inkey = NULL;
     389             :                 }
     390             :             }
     391             : 
     392             :             /*
     393             :              * Emit the cleaned-up keys into the so->keyData[] array, and then
     394             :              * mark them if they are required.  They are required (possibly
     395             :              * only in one direction) if all attrs before this one had "=".
     396             :              */
     397    87429168 :             for (j = BTMaxStrategyNumber; --j >= 0;)
     398             :             {
     399    72857640 :                 if (xform[j].inkey)
     400             :                 {
     401    14573342 :                     ScanKey     outkey = &so->keyData[new_numberOfKeys++];
     402             : 
     403    14573342 :                     memcpy(outkey, xform[j].inkey, sizeof(ScanKeyData));
     404    14573342 :                     if (arrayKeyData)
     405        1188 :                         keyDataMap[new_numberOfKeys - 1] = xform[j].inkeyi;
     406    14573342 :                     if (priorNumberOfEqualCols == attno - 1)
     407    14572496 :                         _bt_mark_scankey_required(outkey);
     408             :                 }
     409             :             }
     410             : 
     411             :             /*
     412             :              * Exit loop here if done.
     413             :              */
     414    14571528 :             if (i == numberOfKeys)
     415     6607980 :                 break;
     416             : 
     417             :             /* Re-initialize for new attno */
     418     7963548 :             attno = inkey->sk_attno;
     419     7963548 :             memset(xform, 0, sizeof(xform));
     420             :         }
     421             : 
     422             :         /* check strategy this key's operator corresponds to */
     423    14573704 :         j = inkey->sk_strategy - 1;
     424             : 
     425             :         /* if row comparison, push it directly to the output array */
     426    14573704 :         if (inkey->sk_flags & SK_ROW_HEADER)
     427             :         {
     428          12 :             ScanKey     outkey = &so->keyData[new_numberOfKeys++];
     429             : 
     430          12 :             memcpy(outkey, inkey, sizeof(ScanKeyData));
     431          12 :             if (arrayKeyData)
     432           0 :                 keyDataMap[new_numberOfKeys - 1] = i;
     433          12 :             if (numberOfEqualCols == attno - 1)
     434          12 :                 _bt_mark_scankey_required(outkey);
     435             : 
     436             :             /*
     437             :              * We don't support RowCompare using equality; such a qual would
     438             :              * mess up the numberOfEqualCols tracking.
     439             :              */
     440             :             Assert(j != (BTEqualStrategyNumber - 1));
     441          12 :             continue;
     442             :         }
     443             : 
     444    14573692 :         if (inkey->sk_strategy == BTEqualStrategyNumber &&
     445    13214554 :             (inkey->sk_flags & SK_SEARCHARRAY))
     446             :         {
     447             :             /* must track how input scan keys map to arrays */
     448             :             Assert(arrayKeyData);
     449         762 :             arrayidx++;
     450             :         }
     451             : 
     452             :         /*
     453             :          * have we seen a scan key for this same attribute and using this same
     454             :          * operator strategy before now?
     455             :          */
     456    14573692 :         if (xform[j].inkey == NULL)
     457             :         {
     458             :             /* nope, so this scan key wins by default (at least for now) */
     459    14573644 :             xform[j].inkey = inkey;
     460    14573644 :             xform[j].inkeyi = i;
     461    14573644 :             xform[j].arrayidx = arrayidx;
     462             :         }
     463             :         else
     464             :         {
     465          48 :             FmgrInfo   *orderproc = NULL;
     466          48 :             BTArrayKeyInfo *array = NULL;
     467             : 
     468             :             /*
     469             :              * Seen one of these before, so keep only the more restrictive key
     470             :              * if possible
     471             :              */
     472          48 :             if (j == (BTEqualStrategyNumber - 1) && arrayKeyData)
     473             :             {
     474             :                 /*
     475             :                  * Have to set up array keys
     476             :                  */
     477          12 :                 if (inkey->sk_flags & SK_SEARCHARRAY)
     478             :                 {
     479           0 :                     array = &so->arrayKeys[arrayidx - 1];
     480           0 :                     orderproc = so->orderProcs + i;
     481             : 
     482             :                     Assert(array->scan_key == i);
     483             :                     Assert(OidIsValid(orderproc->fn_oid));
     484             :                 }
     485          12 :                 else if (xform[j].inkey->sk_flags & SK_SEARCHARRAY)
     486             :                 {
     487          12 :                     array = &so->arrayKeys[xform[j].arrayidx - 1];
     488          12 :                     orderproc = so->orderProcs + xform[j].inkeyi;
     489             : 
     490             :                     Assert(array->scan_key == xform[j].inkeyi);
     491             :                     Assert(OidIsValid(orderproc->fn_oid));
     492             :                 }
     493             : 
     494             :                 /*
     495             :                  * Both scan keys might have arrays, in which case we'll
     496             :                  * arbitrarily pass only one of the arrays.  That won't
     497             :                  * matter, since _bt_compare_scankey_args is aware that two
     498             :                  * SEARCHARRAY scan keys mean that _bt_preprocess_array_keys
     499             :                  * failed to eliminate redundant arrays through array merging.
     500             :                  * _bt_compare_scankey_args just returns false when it sees
     501             :                  * this; it won't even try to examine either array.
     502             :                  */
     503             :             }
     504             : 
     505          48 :             if (_bt_compare_scankey_args(scan, inkey, inkey, xform[j].inkey,
     506             :                                          array, orderproc, &test_result))
     507             :             {
     508             :                 /* Have all we need to determine redundancy */
     509          48 :                 if (test_result)
     510             :                 {
     511             :                     Assert(!array || array->num_elems > 0);
     512             : 
     513             :                     /*
     514             :                      * New key is more restrictive, and so replaces old key...
     515             :                      */
     516          42 :                     if (j != (BTEqualStrategyNumber - 1) ||
     517          12 :                         !(xform[j].inkey->sk_flags & SK_SEARCHARRAY))
     518             :                     {
     519          36 :                         xform[j].inkey = inkey;
     520          36 :                         xform[j].inkeyi = i;
     521          36 :                         xform[j].arrayidx = arrayidx;
     522             :                     }
     523             :                     else
     524             :                     {
     525             :                         /*
     526             :                          * ...unless we have to keep the old key because it's
     527             :                          * an array that rendered the new key redundant.  We
     528             :                          * need to make sure that we don't throw away an array
     529             :                          * scan key.  _bt_preprocess_array_keys_final expects
     530             :                          * us to keep all of the arrays that weren't already
     531             :                          * eliminated by _bt_preprocess_array_keys earlier on.
     532             :                          */
     533             :                         Assert(!(inkey->sk_flags & SK_SEARCHARRAY));
     534             :                     }
     535             :                 }
     536           6 :                 else if (j == (BTEqualStrategyNumber - 1))
     537             :                 {
     538             :                     /* key == a && key == b, but a != b */
     539           6 :                     so->qual_ok = false;
     540           6 :                     return;
     541             :                 }
     542             :                 /* else old key is more restrictive, keep it */
     543             :             }
     544             :             else
     545             :             {
     546             :                 /*
     547             :                  * We can't determine which key is more restrictive.  Push
     548             :                  * xform[j] directly to the output array, then set xform[j] to
     549             :                  * the new scan key.
     550             :                  *
     551             :                  * Note: We do things this way around so that our arrays are
     552             :                  * always in the same order as their corresponding scan keys,
     553             :                  * even with incomplete opfamilies.  _bt_advance_array_keys
     554             :                  * depends on this.
     555             :                  */
     556           0 :                 ScanKey     outkey = &so->keyData[new_numberOfKeys++];
     557             : 
     558           0 :                 memcpy(outkey, xform[j].inkey, sizeof(ScanKeyData));
     559           0 :                 if (arrayKeyData)
     560           0 :                     keyDataMap[new_numberOfKeys - 1] = xform[j].inkeyi;
     561           0 :                 if (numberOfEqualCols == attno - 1)
     562           0 :                     _bt_mark_scankey_required(outkey);
     563           0 :                 xform[j].inkey = inkey;
     564           0 :                 xform[j].inkeyi = i;
     565           0 :                 xform[j].arrayidx = arrayidx;
     566             :             }
     567             :         }
     568             :     }
     569             : 
     570     6607980 :     so->numberOfKeys = new_numberOfKeys;
     571             : 
     572             :     /*
     573             :      * Now that we've built a temporary mapping from so->keyData[] (output
     574             :      * scan keys) to arrayKeyData[] (our input scan keys), fix array->scan_key
     575             :      * references.  Also consolidate the so->orderProcs[] array such that it
     576             :      * can be subscripted using so->keyData[]-wise offsets.
     577             :      */
     578     6607980 :     if (arrayKeyData)
     579         582 :         _bt_preprocess_array_keys_final(scan, keyDataMap);
     580             : 
     581             :     /* Could pfree arrayKeyData/keyDataMap now, but not worth the cycles */
     582             : }
     583             : 
     584             : /*
     585             :  * Adjust a scankey's strategy and flags setting as needed for indoptions.
     586             :  *
     587             :  * We copy the appropriate indoption value into the scankey sk_flags
     588             :  * (shifting to avoid clobbering system-defined flag bits).  Also, if
     589             :  * the DESC option is set, commute (flip) the operator strategy number.
     590             :  *
     591             :  * A secondary purpose is to check for IS NULL/NOT NULL scankeys and set up
     592             :  * the strategy field correctly for them.
     593             :  *
     594             :  * Lastly, for ordinary scankeys (not IS NULL/NOT NULL), we check for a
     595             :  * NULL comparison value.  Since all btree operators are assumed strict,
     596             :  * a NULL means that the qual cannot be satisfied.  We return true if the
     597             :  * comparison value isn't NULL, or false if the scan should be abandoned.
     598             :  *
     599             :  * This function is applied to the *input* scankey structure; therefore
     600             :  * on a rescan we will be looking at already-processed scankeys.  Hence
     601             :  * we have to be careful not to re-commute the strategy if we already did it.
     602             :  * It's a bit ugly to modify the caller's copy of the scankey but in practice
     603             :  * there shouldn't be any problem, since the index's indoptions are certainly
     604             :  * not going to change while the scankey survives.
     605             :  */
     606             : static bool
     607    21365750 : _bt_fix_scankey_strategy(ScanKey skey, int16 *indoption)
     608             : {
     609             :     int         addflags;
     610             : 
     611    21365750 :     addflags = indoption[skey->sk_attno - 1] << SK_BT_INDOPTION_SHIFT;
     612             : 
     613             :     /*
     614             :      * We treat all btree operators as strict (even if they're not so marked
     615             :      * in pg_proc). This means that it is impossible for an operator condition
     616             :      * with a NULL comparison constant to succeed, and we can reject it right
     617             :      * away.
     618             :      *
     619             :      * However, we now also support "x IS NULL" clauses as search conditions,
     620             :      * so in that case keep going. The planner has not filled in any
     621             :      * particular strategy in this case, so set it to BTEqualStrategyNumber
     622             :      * --- we can treat IS NULL as an equality operator for purposes of search
     623             :      * strategy.
     624             :      *
     625             :      * Likewise, "x IS NOT NULL" is supported.  We treat that as either "less
     626             :      * than NULL" in a NULLS LAST index, or "greater than NULL" in a NULLS
     627             :      * FIRST index.
     628             :      *
     629             :      * Note: someday we might have to fill in sk_collation from the index
     630             :      * column's collation.  At the moment this is a non-issue because we'll
     631             :      * never actually call the comparison operator on a NULL.
     632             :      */
     633    21365750 :     if (skey->sk_flags & SK_ISNULL)
     634             :     {
     635             :         /* SK_ISNULL shouldn't be set in a row header scankey */
     636             :         Assert(!(skey->sk_flags & SK_ROW_HEADER));
     637             : 
     638             :         /* Set indoption flags in scankey (might be done already) */
     639      109900 :         skey->sk_flags |= addflags;
     640             : 
     641             :         /* Set correct strategy for IS NULL or NOT NULL search */
     642      109900 :         if (skey->sk_flags & SK_SEARCHNULL)
     643             :         {
     644         140 :             skey->sk_strategy = BTEqualStrategyNumber;
     645         140 :             skey->sk_subtype = InvalidOid;
     646         140 :             skey->sk_collation = InvalidOid;
     647             :         }
     648      109760 :         else if (skey->sk_flags & SK_SEARCHNOTNULL)
     649             :         {
     650      108770 :             if (skey->sk_flags & SK_BT_NULLS_FIRST)
     651          36 :                 skey->sk_strategy = BTGreaterStrategyNumber;
     652             :             else
     653      108734 :                 skey->sk_strategy = BTLessStrategyNumber;
     654      108770 :             skey->sk_subtype = InvalidOid;
     655      108770 :             skey->sk_collation = InvalidOid;
     656             :         }
     657             :         else
     658             :         {
     659             :             /* regular qual, so it cannot be satisfied */
     660         990 :             return false;
     661             :         }
     662             : 
     663             :         /* Needn't do the rest */
     664      108910 :         return true;
     665             :     }
     666             : 
     667             :     /* Adjust strategy for DESC, if we didn't already */
     668    21255850 :     if ((addflags & SK_BT_DESC) && !(skey->sk_flags & SK_BT_DESC))
     669           6 :         skey->sk_strategy = BTCommuteStrategyNumber(skey->sk_strategy);
     670    21255850 :     skey->sk_flags |= addflags;
     671             : 
     672             :     /* If it's a row header, fix row member flags and strategies similarly */
     673    21255850 :     if (skey->sk_flags & SK_ROW_HEADER)
     674             :     {
     675          66 :         ScanKey     subkey = (ScanKey) DatumGetPointer(skey->sk_argument);
     676             : 
     677          66 :         if (subkey->sk_flags & SK_ISNULL)
     678             :         {
     679             :             /* First row member is NULL, so RowCompare is unsatisfiable */
     680             :             Assert(subkey->sk_flags & SK_ROW_MEMBER);
     681           6 :             return false;
     682             :         }
     683             : 
     684             :         for (;;)
     685             :         {
     686          60 :             Assert(subkey->sk_flags & SK_ROW_MEMBER);
     687         120 :             addflags = indoption[subkey->sk_attno - 1] << SK_BT_INDOPTION_SHIFT;
     688         120 :             if ((addflags & SK_BT_DESC) && !(subkey->sk_flags & SK_BT_DESC))
     689           0 :                 subkey->sk_strategy = BTCommuteStrategyNumber(subkey->sk_strategy);
     690         120 :             subkey->sk_flags |= addflags;
     691         120 :             if (subkey->sk_flags & SK_ROW_END)
     692          60 :                 break;
     693          60 :             subkey++;
     694             :         }
     695             :     }
     696             : 
     697    21255844 :     return true;
     698             : }
     699             : 
     700             : /*
     701             :  * Mark a scankey as "required to continue the scan".
     702             :  *
     703             :  * Depending on the operator type, the key may be required for both scan
     704             :  * directions or just one.  Also, if the key is a row comparison header,
     705             :  * we have to mark its first subsidiary ScanKey as required.  (Subsequent
     706             :  * subsidiary ScanKeys are normally for lower-order columns, and thus
     707             :  * cannot be required, since they're after the first non-equality scankey.)
     708             :  *
     709             :  * Note: when we set required-key flag bits in a subsidiary scankey, we are
     710             :  * scribbling on a data structure belonging to the index AM's caller, not on
     711             :  * our private copy.  This should be OK because the marking will not change
     712             :  * from scan to scan within a query, and so we'd just re-mark the same way
     713             :  * anyway on a rescan.  Something to keep an eye on though.
     714             :  */
     715             : static void
     716    21361824 : _bt_mark_scankey_required(ScanKey skey)
     717             : {
     718             :     int         addflags;
     719             : 
     720    21361824 :     switch (skey->sk_strategy)
     721             :     {
     722      111654 :         case BTLessStrategyNumber:
     723             :         case BTLessEqualStrategyNumber:
     724      111654 :             addflags = SK_BT_REQFWD;
     725      111654 :             break;
     726    19892282 :         case BTEqualStrategyNumber:
     727    19892282 :             addflags = SK_BT_REQFWD | SK_BT_REQBKWD;
     728    19892282 :             break;
     729     1357888 :         case BTGreaterEqualStrategyNumber:
     730             :         case BTGreaterStrategyNumber:
     731     1357888 :             addflags = SK_BT_REQBKWD;
     732     1357888 :             break;
     733           0 :         default:
     734           0 :             elog(ERROR, "unrecognized StrategyNumber: %d",
     735             :                  (int) skey->sk_strategy);
     736             :             addflags = 0;       /* keep compiler quiet */
     737             :             break;
     738             :     }
     739             : 
     740    21361824 :     skey->sk_flags |= addflags;
     741             : 
     742    21361824 :     if (skey->sk_flags & SK_ROW_HEADER)
     743             :     {
     744          66 :         ScanKey     subkey = (ScanKey) DatumGetPointer(skey->sk_argument);
     745             : 
     746             :         /* First subkey should be same column/operator as the header */
     747             :         Assert(subkey->sk_flags & SK_ROW_MEMBER);
     748             :         Assert(subkey->sk_attno == skey->sk_attno);
     749             :         Assert(subkey->sk_strategy == skey->sk_strategy);
     750          66 :         subkey->sk_flags |= addflags;
     751             :     }
     752    21361824 : }
     753             : 
     754             : /*
     755             :  * Compare two scankey values using a specified operator.
     756             :  *
     757             :  * The test we want to perform is logically "leftarg op rightarg", where
     758             :  * leftarg and rightarg are the sk_argument values in those ScanKeys, and
     759             :  * the comparison operator is the one in the op ScanKey.  However, in
     760             :  * cross-data-type situations we may need to look up the correct operator in
     761             :  * the index's opfamily: it is the one having amopstrategy = op->sk_strategy
     762             :  * and amoplefttype/amoprighttype equal to the two argument datatypes.
     763             :  *
     764             :  * If the opfamily doesn't supply a complete set of cross-type operators we
     765             :  * may not be able to make the comparison.  If we can make the comparison
     766             :  * we store the operator result in *result and return true.  We return false
     767             :  * if the comparison could not be made.
     768             :  *
     769             :  * If either leftarg or rightarg are an array, we'll apply array-specific
     770             :  * rules to determine which array elements are redundant on behalf of caller.
     771             :  * It is up to our caller to save whichever of the two scan keys is the array,
     772             :  * and discard the non-array scan key (the non-array scan key is guaranteed to
     773             :  * be redundant with any complete opfamily).  Caller isn't expected to call
     774             :  * here with a pair of array scan keys provided we're dealing with a complete
     775             :  * opfamily (_bt_preprocess_array_keys will merge array keys together to make
     776             :  * sure of that).
     777             :  *
     778             :  * Note: we'll also shrink caller's array as needed to eliminate redundant
     779             :  * array elements.  One reason why caller should prefer to discard non-array
     780             :  * scan keys is so that we'll have the opportunity to shrink the array
     781             :  * multiple times, in multiple calls (for each of several other scan keys on
     782             :  * the same index attribute).
     783             :  *
     784             :  * Note: op always points at the same ScanKey as either leftarg or rightarg.
     785             :  * Since we don't scribble on the scankeys themselves, this aliasing should
     786             :  * cause no trouble.
     787             :  *
     788             :  * Note: this routine needs to be insensitive to any DESC option applied
     789             :  * to the index column.  For example, "x < 4" is a tighter constraint than
     790             :  * "x < 5" regardless of which way the index is sorted.
     791             :  */
     792             : static bool
     793         266 : _bt_compare_scankey_args(IndexScanDesc scan, ScanKey op,
     794             :                          ScanKey leftarg, ScanKey rightarg,
     795             :                          BTArrayKeyInfo *array, FmgrInfo *orderproc,
     796             :                          bool *result)
     797             : {
     798         266 :     Relation    rel = scan->indexRelation;
     799             :     Oid         lefttype,
     800             :                 righttype,
     801             :                 optype,
     802             :                 opcintype,
     803             :                 cmp_op;
     804             :     StrategyNumber strat;
     805             : 
     806             :     /*
     807             :      * First, deal with cases where one or both args are NULL.  This should
     808             :      * only happen when the scankeys represent IS NULL/NOT NULL conditions.
     809             :      */
     810         266 :     if ((leftarg->sk_flags | rightarg->sk_flags) & SK_ISNULL)
     811             :     {
     812             :         bool        leftnull,
     813             :                     rightnull;
     814             : 
     815         132 :         if (leftarg->sk_flags & SK_ISNULL)
     816             :         {
     817             :             Assert(leftarg->sk_flags & (SK_SEARCHNULL | SK_SEARCHNOTNULL));
     818           0 :             leftnull = true;
     819             :         }
     820             :         else
     821         132 :             leftnull = false;
     822         132 :         if (rightarg->sk_flags & SK_ISNULL)
     823             :         {
     824             :             Assert(rightarg->sk_flags & (SK_SEARCHNULL | SK_SEARCHNOTNULL));
     825         132 :             rightnull = true;
     826             :         }
     827             :         else
     828           0 :             rightnull = false;
     829             : 
     830             :         /*
     831             :          * We treat NULL as either greater than or less than all other values.
     832             :          * Since true > false, the tests below work correctly for NULLS LAST
     833             :          * logic.  If the index is NULLS FIRST, we need to flip the strategy.
     834             :          */
     835         132 :         strat = op->sk_strategy;
     836         132 :         if (op->sk_flags & SK_BT_NULLS_FIRST)
     837           0 :             strat = BTCommuteStrategyNumber(strat);
     838             : 
     839         132 :         switch (strat)
     840             :         {
     841         132 :             case BTLessStrategyNumber:
     842         132 :                 *result = (leftnull < rightnull);
     843         132 :                 break;
     844           0 :             case BTLessEqualStrategyNumber:
     845           0 :                 *result = (leftnull <= rightnull);
     846           0 :                 break;
     847           0 :             case BTEqualStrategyNumber:
     848           0 :                 *result = (leftnull == rightnull);
     849           0 :                 break;
     850           0 :             case BTGreaterEqualStrategyNumber:
     851           0 :                 *result = (leftnull >= rightnull);
     852           0 :                 break;
     853           0 :             case BTGreaterStrategyNumber:
     854           0 :                 *result = (leftnull > rightnull);
     855           0 :                 break;
     856           0 :             default:
     857           0 :                 elog(ERROR, "unrecognized StrategyNumber: %d", (int) strat);
     858             :                 *result = false;    /* keep compiler quiet */
     859             :                 break;
     860             :         }
     861         132 :         return true;
     862             :     }
     863             : 
     864             :     /*
     865             :      * If either leftarg or rightarg are equality-type array scankeys, we need
     866             :      * specialized handling (since by now we know that IS NULL wasn't used)
     867             :      */
     868         134 :     if (array)
     869             :     {
     870             :         bool        leftarray,
     871             :                     rightarray;
     872             : 
     873          48 :         leftarray = ((leftarg->sk_flags & SK_SEARCHARRAY) &&
     874          18 :                      leftarg->sk_strategy == BTEqualStrategyNumber);
     875          42 :         rightarray = ((rightarg->sk_flags & SK_SEARCHARRAY) &&
     876          12 :                       rightarg->sk_strategy == BTEqualStrategyNumber);
     877             : 
     878             :         /*
     879             :          * _bt_preprocess_array_keys is responsible for merging together array
     880             :          * scan keys, and will do so whenever the opfamily has the required
     881             :          * cross-type support.  If it failed to do that, we handle it just
     882             :          * like the case where we can't make the comparison ourselves.
     883             :          */
     884          30 :         if (leftarray && rightarray)
     885             :         {
     886             :             /* Can't make the comparison */
     887           0 :             *result = false;    /* suppress compiler warnings */
     888           0 :             return false;
     889             :         }
     890             : 
     891             :         /*
     892             :          * Otherwise we need to determine if either one of leftarg or rightarg
     893             :          * uses an array, then pass this through to a dedicated helper
     894             :          * function.
     895             :          */
     896          30 :         if (leftarray)
     897          18 :             return _bt_compare_array_scankey_args(scan, leftarg, rightarg,
     898             :                                                   orderproc, array, result);
     899          12 :         else if (rightarray)
     900          12 :             return _bt_compare_array_scankey_args(scan, rightarg, leftarg,
     901             :                                                   orderproc, array, result);
     902             : 
     903             :         /* FALL THRU */
     904             :     }
     905             : 
     906             :     /*
     907             :      * The opfamily we need to worry about is identified by the index column.
     908             :      */
     909             :     Assert(leftarg->sk_attno == rightarg->sk_attno);
     910             : 
     911         104 :     opcintype = rel->rd_opcintype[leftarg->sk_attno - 1];
     912             : 
     913             :     /*
     914             :      * Determine the actual datatypes of the ScanKey arguments.  We have to
     915             :      * support the convention that sk_subtype == InvalidOid means the opclass
     916             :      * input type; this is a hack to simplify life for ScanKeyInit().
     917             :      */
     918         104 :     lefttype = leftarg->sk_subtype;
     919         104 :     if (lefttype == InvalidOid)
     920           0 :         lefttype = opcintype;
     921         104 :     righttype = rightarg->sk_subtype;
     922         104 :     if (righttype == InvalidOid)
     923           0 :         righttype = opcintype;
     924         104 :     optype = op->sk_subtype;
     925         104 :     if (optype == InvalidOid)
     926           0 :         optype = opcintype;
     927             : 
     928             :     /*
     929             :      * If leftarg and rightarg match the types expected for the "op" scankey,
     930             :      * we can use its already-looked-up comparison function.
     931             :      */
     932         104 :     if (lefttype == opcintype && righttype == optype)
     933             :     {
     934          98 :         *result = DatumGetBool(FunctionCall2Coll(&op->sk_func,
     935             :                                                  op->sk_collation,
     936             :                                                  leftarg->sk_argument,
     937             :                                                  rightarg->sk_argument));
     938          98 :         return true;
     939             :     }
     940             : 
     941             :     /*
     942             :      * Otherwise, we need to go to the syscache to find the appropriate
     943             :      * operator.  (This cannot result in infinite recursion, since no
     944             :      * indexscan initiated by syscache lookup will use cross-data-type
     945             :      * operators.)
     946             :      *
     947             :      * If the sk_strategy was flipped by _bt_fix_scankey_strategy, we have to
     948             :      * un-flip it to get the correct opfamily member.
     949             :      */
     950           6 :     strat = op->sk_strategy;
     951           6 :     if (op->sk_flags & SK_BT_DESC)
     952           0 :         strat = BTCommuteStrategyNumber(strat);
     953             : 
     954           6 :     cmp_op = get_opfamily_member(rel->rd_opfamily[leftarg->sk_attno - 1],
     955             :                                  lefttype,
     956             :                                  righttype,
     957             :                                  strat);
     958           6 :     if (OidIsValid(cmp_op))
     959             :     {
     960           6 :         RegProcedure cmp_proc = get_opcode(cmp_op);
     961             : 
     962           6 :         if (RegProcedureIsValid(cmp_proc))
     963             :         {
     964           6 :             *result = DatumGetBool(OidFunctionCall2Coll(cmp_proc,
     965             :                                                         op->sk_collation,
     966             :                                                         leftarg->sk_argument,
     967             :                                                         rightarg->sk_argument));
     968           6 :             return true;
     969             :         }
     970             :     }
     971             : 
     972             :     /* Can't make the comparison */
     973           0 :     *result = false;            /* suppress compiler warnings */
     974           0 :     return false;
     975             : }
     976             : 
     977             : /*
     978             :  * Compare an array scan key to a scalar scan key, eliminating contradictory
     979             :  * array elements such that the scalar scan key becomes redundant.
     980             :  *
     981             :  * Array elements can be eliminated as contradictory when excluded by some
     982             :  * other operator on the same attribute.  For example, with an index scan qual
     983             :  * "WHERE a IN (1, 2, 3) AND a < 2", all array elements except the value "1"
     984             :  * are eliminated, and the < scan key is eliminated as redundant.  Cases where
     985             :  * every array element is eliminated by a redundant scalar scan key have an
     986             :  * unsatisfiable qual, which we handle by setting *qual_ok=false for caller.
     987             :  *
     988             :  * If the opfamily doesn't supply a complete set of cross-type ORDER procs we
     989             :  * may not be able to determine which elements are contradictory.  If we have
     990             :  * the required ORDER proc then we return true (and validly set *qual_ok),
     991             :  * guaranteeing that at least the scalar scan key can be considered redundant.
     992             :  * We return false if the comparison could not be made (caller must keep both
     993             :  * scan keys when this happens).
     994             :  */
     995             : static bool
     996          30 : _bt_compare_array_scankey_args(IndexScanDesc scan, ScanKey arraysk, ScanKey skey,
     997             :                                FmgrInfo *orderproc, BTArrayKeyInfo *array,
     998             :                                bool *qual_ok)
     999             : {
    1000          30 :     Relation    rel = scan->indexRelation;
    1001          30 :     Oid         opcintype = rel->rd_opcintype[arraysk->sk_attno - 1];
    1002          30 :     int         cmpresult = 0,
    1003          30 :                 cmpexact = 0,
    1004             :                 matchelem,
    1005          30 :                 new_nelems = 0;
    1006             :     FmgrInfo    crosstypeproc;
    1007          30 :     FmgrInfo   *orderprocp = orderproc;
    1008             : 
    1009             :     Assert(arraysk->sk_attno == skey->sk_attno);
    1010             :     Assert(array->num_elems > 0);
    1011             :     Assert(!(arraysk->sk_flags & (SK_ISNULL | SK_ROW_HEADER | SK_ROW_MEMBER)));
    1012             :     Assert((arraysk->sk_flags & SK_SEARCHARRAY) &&
    1013             :            arraysk->sk_strategy == BTEqualStrategyNumber);
    1014             :     Assert(!(skey->sk_flags & (SK_ISNULL | SK_ROW_HEADER | SK_ROW_MEMBER)));
    1015             :     Assert(!(skey->sk_flags & SK_SEARCHARRAY) ||
    1016             :            skey->sk_strategy != BTEqualStrategyNumber);
    1017             : 
    1018             :     /*
    1019             :      * _bt_binsrch_array_skey searches an array for the entry best matching a
    1020             :      * datum of opclass input type for the index's attribute (on-disk type).
    1021             :      * We can reuse the array's ORDER proc whenever the non-array scan key's
    1022             :      * type is a match for the corresponding attribute's input opclass type.
    1023             :      * Otherwise, we have to do another ORDER proc lookup so that our call to
    1024             :      * _bt_binsrch_array_skey applies the correct comparator.
    1025             :      *
    1026             :      * Note: we have to support the convention that sk_subtype == InvalidOid
    1027             :      * means the opclass input type; this is a hack to simplify life for
    1028             :      * ScanKeyInit().
    1029             :      */
    1030          30 :     if (skey->sk_subtype != opcintype && skey->sk_subtype != InvalidOid)
    1031             :     {
    1032             :         RegProcedure cmp_proc;
    1033             :         Oid         arraysk_elemtype;
    1034             : 
    1035             :         /*
    1036             :          * Need an ORDER proc lookup to detect redundancy/contradictoriness
    1037             :          * with this pair of scankeys.
    1038             :          *
    1039             :          * Scalar scan key's argument will be passed to _bt_compare_array_skey
    1040             :          * as its tupdatum/lefthand argument (rhs arg is for array elements).
    1041             :          */
    1042           6 :         arraysk_elemtype = arraysk->sk_subtype;
    1043           6 :         if (arraysk_elemtype == InvalidOid)
    1044           0 :             arraysk_elemtype = rel->rd_opcintype[arraysk->sk_attno - 1];
    1045           6 :         cmp_proc = get_opfamily_proc(rel->rd_opfamily[arraysk->sk_attno - 1],
    1046             :                                      skey->sk_subtype, arraysk_elemtype,
    1047             :                                      BTORDER_PROC);
    1048           6 :         if (!RegProcedureIsValid(cmp_proc))
    1049             :         {
    1050             :             /* Can't make the comparison */
    1051           0 :             *qual_ok = false;   /* suppress compiler warnings */
    1052           0 :             return false;
    1053             :         }
    1054             : 
    1055             :         /* We have all we need to determine redundancy/contradictoriness */
    1056           6 :         orderprocp = &crosstypeproc;
    1057           6 :         fmgr_info(cmp_proc, orderprocp);
    1058             :     }
    1059             : 
    1060          30 :     matchelem = _bt_binsrch_array_skey(orderprocp, false,
    1061             :                                        NoMovementScanDirection,
    1062             :                                        skey->sk_argument, false, array,
    1063             :                                        arraysk, &cmpresult);
    1064             : 
    1065          30 :     switch (skey->sk_strategy)
    1066             :     {
    1067           6 :         case BTLessStrategyNumber:
    1068           6 :             cmpexact = 1;       /* exclude exact match, if any */
    1069             :             /* FALL THRU */
    1070           6 :         case BTLessEqualStrategyNumber:
    1071           6 :             if (cmpresult >= cmpexact)
    1072           0 :                 matchelem++;
    1073             :             /* Resize, keeping elements from the start of the array */
    1074           6 :             new_nelems = matchelem;
    1075           6 :             break;
    1076          12 :         case BTEqualStrategyNumber:
    1077          12 :             if (cmpresult != 0)
    1078             :             {
    1079             :                 /* qual is unsatisfiable */
    1080           6 :                 new_nelems = 0;
    1081             :             }
    1082             :             else
    1083             :             {
    1084             :                 /* Shift matching element to the start of the array, resize */
    1085           6 :                 array->elem_values[0] = array->elem_values[matchelem];
    1086           6 :                 new_nelems = 1;
    1087             :             }
    1088          12 :             break;
    1089           6 :         case BTGreaterEqualStrategyNumber:
    1090           6 :             cmpexact = 1;       /* include exact match, if any */
    1091             :             /* FALL THRU */
    1092          12 :         case BTGreaterStrategyNumber:
    1093          12 :             if (cmpresult >= cmpexact)
    1094           6 :                 matchelem++;
    1095             :             /* Shift matching elements to the start of the array, resize */
    1096          12 :             new_nelems = array->num_elems - matchelem;
    1097          12 :             memmove(array->elem_values, array->elem_values + matchelem,
    1098             :                     sizeof(Datum) * new_nelems);
    1099          12 :             break;
    1100           0 :         default:
    1101           0 :             elog(ERROR, "unrecognized StrategyNumber: %d",
    1102             :                  (int) skey->sk_strategy);
    1103             :             break;
    1104             :     }
    1105             : 
    1106             :     Assert(new_nelems >= 0);
    1107             :     Assert(new_nelems <= array->num_elems);
    1108             : 
    1109          30 :     array->num_elems = new_nelems;
    1110          30 :     *qual_ok = new_nelems > 0;
    1111             : 
    1112          30 :     return true;
    1113             : }
    1114             : 
    1115             : /*
    1116             :  *  _bt_preprocess_array_keys() -- Preprocess SK_SEARCHARRAY scan keys
    1117             :  *
    1118             :  * If there are any SK_SEARCHARRAY scan keys, deconstruct the array(s) and
    1119             :  * set up BTArrayKeyInfo info for each one that is an equality-type key.
    1120             :  * Returns modified scan keys as input for further, standard preprocessing.
    1121             :  *
    1122             :  * Currently we perform two kinds of preprocessing to deal with redundancies.
    1123             :  * For inequality array keys, it's sufficient to find the extreme element
    1124             :  * value and replace the whole array with that scalar value.  This eliminates
    1125             :  * all but one array element as redundant.  Similarly, we are capable of
    1126             :  * "merging together" multiple equality array keys (from two or more input
    1127             :  * scan keys) into a single output scan key containing only the intersecting
    1128             :  * array elements.  This can eliminate many redundant array elements, as well
    1129             :  * as eliminating whole array scan keys as redundant.  It can also allow us to
    1130             :  * detect contradictory quals.
    1131             :  *
    1132             :  * Caller must pass *new_numberOfKeys to give us a way to change the number of
    1133             :  * scan keys that caller treats as input to standard preprocessing steps.  The
    1134             :  * returned array is smaller than scan->keyData[] when we could eliminate a
    1135             :  * redundant array scan key (redundant with another array scan key).  It is
    1136             :  * convenient for _bt_preprocess_keys caller to have to deal with no more than
    1137             :  * one equality strategy array scan key per index attribute.  We'll always be
    1138             :  * able to set things up that way when complete opfamilies are used.
    1139             :  *
    1140             :  * We set the scan key references from the scan's BTArrayKeyInfo info array to
    1141             :  * offsets into the temp modified input array returned to caller.  Scans that
    1142             :  * have array keys should call _bt_preprocess_array_keys_final when standard
    1143             :  * preprocessing steps are complete.  This will convert the scan key offset
    1144             :  * references into references to the scan's so->keyData[] output scan keys.
    1145             :  *
    1146             :  * Note: the reason we need to return a temp scan key array, rather than just
    1147             :  * scribbling on scan->keyData, is that callers are permitted to call btrescan
    1148             :  * without supplying a new set of scankey data.
    1149             :  */
    1150             : static ScanKey
    1151    13400074 : _bt_preprocess_array_keys(IndexScanDesc scan, int *new_numberOfKeys)
    1152             : {
    1153    13400074 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1154    13400074 :     Relation    rel = scan->indexRelation;
    1155    13400074 :     int         numberOfKeys = scan->numberOfKeys;
    1156    13400074 :     int16      *indoption = rel->rd_indoption;
    1157             :     int         numArrayKeys,
    1158    13400074 :                 output_ikey = 0;
    1159    13400074 :     int         origarrayatt = InvalidAttrNumber,
    1160    13400074 :                 origarraykey = -1;
    1161    13400074 :     Oid         origelemtype = InvalidOid;
    1162             :     ScanKey     cur;
    1163             :     MemoryContext oldContext;
    1164             :     ScanKey     arrayKeyData;   /* modified copy of scan->keyData */
    1165             : 
    1166             :     Assert(numberOfKeys);
    1167             : 
    1168             :     /* Quick check to see if there are any array keys */
    1169    13400074 :     numArrayKeys = 0;
    1170    34765842 :     for (int i = 0; i < numberOfKeys; i++)
    1171             :     {
    1172    21365768 :         cur = &scan->keyData[i];
    1173    21365768 :         if (cur->sk_flags & SK_SEARCHARRAY)
    1174             :         {
    1175        1286 :             numArrayKeys++;
    1176             :             Assert(!(cur->sk_flags & (SK_ROW_HEADER | SK_SEARCHNULL | SK_SEARCHNOTNULL)));
    1177             :             /* If any arrays are null as a whole, we can quit right now. */
    1178        1286 :             if (cur->sk_flags & SK_ISNULL)
    1179             :             {
    1180           0 :                 so->qual_ok = false;
    1181           0 :                 return NULL;
    1182             :             }
    1183             :         }
    1184             :     }
    1185             : 
    1186             :     /* Quit if nothing to do. */
    1187    13400074 :     if (numArrayKeys == 0)
    1188    13398962 :         return NULL;
    1189             : 
    1190             :     /*
    1191             :      * Make a scan-lifespan context to hold array-associated data, or reset it
    1192             :      * if we already have one from a previous rescan cycle.
    1193             :      */
    1194        1112 :     if (so->arrayContext == NULL)
    1195        1112 :         so->arrayContext = AllocSetContextCreate(CurrentMemoryContext,
    1196             :                                                  "BTree array context",
    1197             :                                                  ALLOCSET_SMALL_SIZES);
    1198             :     else
    1199           0 :         MemoryContextReset(so->arrayContext);
    1200             : 
    1201        1112 :     oldContext = MemoryContextSwitchTo(so->arrayContext);
    1202             : 
    1203             :     /* Create output scan keys in the workspace context */
    1204        1112 :     arrayKeyData = (ScanKey) palloc(numberOfKeys * sizeof(ScanKeyData));
    1205             : 
    1206             :     /* Allocate space for per-array data in the workspace context */
    1207        1112 :     so->arrayKeys = (BTArrayKeyInfo *) palloc(numArrayKeys * sizeof(BTArrayKeyInfo));
    1208             : 
    1209             :     /* Allocate space for ORDER procs used to help _bt_checkkeys */
    1210        1112 :     so->orderProcs = (FmgrInfo *) palloc(numberOfKeys * sizeof(FmgrInfo));
    1211             : 
    1212             :     /* Now process each array key */
    1213        1112 :     numArrayKeys = 0;
    1214        2866 :     for (int input_ikey = 0; input_ikey < numberOfKeys; input_ikey++)
    1215             :     {
    1216             :         FmgrInfo    sortproc;
    1217        1760 :         FmgrInfo   *sortprocp = &sortproc;
    1218             :         Oid         elemtype;
    1219             :         bool        reverse;
    1220             :         ArrayType  *arrayval;
    1221             :         int16       elmlen;
    1222             :         bool        elmbyval;
    1223             :         char        elmalign;
    1224             :         int         num_elems;
    1225             :         Datum      *elem_values;
    1226             :         bool       *elem_nulls;
    1227             :         int         num_nonnulls;
    1228             :         int         j;
    1229             : 
    1230             :         /*
    1231             :          * Provisionally copy scan key into arrayKeyData[] array we'll return
    1232             :          * to _bt_preprocess_keys caller
    1233             :          */
    1234        1760 :         cur = &arrayKeyData[output_ikey];
    1235        1760 :         *cur = scan->keyData[input_ikey];
    1236             : 
    1237        1760 :         if (!(cur->sk_flags & SK_SEARCHARRAY))
    1238             :         {
    1239         474 :             output_ikey++;      /* keep this non-array scan key */
    1240         492 :             continue;
    1241             :         }
    1242             : 
    1243             :         /*
    1244             :          * Deconstruct the array into elements
    1245             :          */
    1246        1286 :         arrayval = DatumGetArrayTypeP(cur->sk_argument);
    1247             :         /* We could cache this data, but not clear it's worth it */
    1248        1286 :         get_typlenbyvalalign(ARR_ELEMTYPE(arrayval),
    1249             :                              &elmlen, &elmbyval, &elmalign);
    1250        1286 :         deconstruct_array(arrayval,
    1251             :                           ARR_ELEMTYPE(arrayval),
    1252             :                           elmlen, elmbyval, elmalign,
    1253             :                           &elem_values, &elem_nulls, &num_elems);
    1254             : 
    1255             :         /*
    1256             :          * Compress out any null elements.  We can ignore them since we assume
    1257             :          * all btree operators are strict.
    1258             :          */
    1259        1286 :         num_nonnulls = 0;
    1260        6238 :         for (j = 0; j < num_elems; j++)
    1261             :         {
    1262        4952 :             if (!elem_nulls[j])
    1263        4952 :                 elem_values[num_nonnulls++] = elem_values[j];
    1264             :         }
    1265             : 
    1266             :         /* We could pfree(elem_nulls) now, but not worth the cycles */
    1267             : 
    1268             :         /* If there's no non-nulls, the scan qual is unsatisfiable */
    1269        1286 :         if (num_nonnulls == 0)
    1270             :         {
    1271           0 :             so->qual_ok = false;
    1272           6 :             break;
    1273             :         }
    1274             : 
    1275             :         /*
    1276             :          * Determine the nominal datatype of the array elements.  We have to
    1277             :          * support the convention that sk_subtype == InvalidOid means the
    1278             :          * opclass input type; this is a hack to simplify life for
    1279             :          * ScanKeyInit().
    1280             :          */
    1281        1286 :         elemtype = cur->sk_subtype;
    1282        1286 :         if (elemtype == InvalidOid)
    1283           0 :             elemtype = rel->rd_opcintype[cur->sk_attno - 1];
    1284             : 
    1285             :         /*
    1286             :          * If the comparison operator is not equality, then the array qual
    1287             :          * degenerates to a simple comparison against the smallest or largest
    1288             :          * non-null array element, as appropriate.
    1289             :          */
    1290        1286 :         switch (cur->sk_strategy)
    1291             :         {
    1292           6 :             case BTLessStrategyNumber:
    1293             :             case BTLessEqualStrategyNumber:
    1294           6 :                 cur->sk_argument =
    1295           6 :                     _bt_find_extreme_element(scan, cur, elemtype,
    1296             :                                              BTGreaterStrategyNumber,
    1297             :                                              elem_values, num_nonnulls);
    1298           6 :                 output_ikey++;  /* keep this transformed scan key */
    1299           6 :                 continue;
    1300        1274 :             case BTEqualStrategyNumber:
    1301             :                 /* proceed with rest of loop */
    1302        1274 :                 break;
    1303           6 :             case BTGreaterEqualStrategyNumber:
    1304             :             case BTGreaterStrategyNumber:
    1305           6 :                 cur->sk_argument =
    1306           6 :                     _bt_find_extreme_element(scan, cur, elemtype,
    1307             :                                              BTLessStrategyNumber,
    1308             :                                              elem_values, num_nonnulls);
    1309           6 :                 output_ikey++;  /* keep this transformed scan key */
    1310           6 :                 continue;
    1311           0 :             default:
    1312           0 :                 elog(ERROR, "unrecognized StrategyNumber: %d",
    1313             :                      (int) cur->sk_strategy);
    1314             :                 break;
    1315             :         }
    1316             : 
    1317             :         /*
    1318             :          * We'll need a 3-way ORDER proc to perform binary searches for the
    1319             :          * next matching array element.  Set that up now.
    1320             :          *
    1321             :          * Array scan keys with cross-type equality operators will require a
    1322             :          * separate same-type ORDER proc for sorting their array.  Otherwise,
    1323             :          * sortproc just points to the same proc used during binary searches.
    1324             :          */
    1325        1274 :         _bt_setup_array_cmp(scan, cur, elemtype,
    1326        1274 :                             &so->orderProcs[output_ikey], &sortprocp);
    1327             : 
    1328             :         /*
    1329             :          * Sort the non-null elements and eliminate any duplicates.  We must
    1330             :          * sort in the same ordering used by the index column, so that the
    1331             :          * arrays can be advanced in lockstep with the scan's progress through
    1332             :          * the index's key space.
    1333             :          */
    1334        1274 :         reverse = (indoption[cur->sk_attno - 1] & INDOPTION_DESC) != 0;
    1335        1274 :         num_elems = _bt_sort_array_elements(cur, sortprocp, reverse,
    1336             :                                             elem_values, num_nonnulls);
    1337             : 
    1338        1274 :         if (origarrayatt == cur->sk_attno)
    1339             :         {
    1340          12 :             BTArrayKeyInfo *orig = &so->arrayKeys[origarraykey];
    1341             : 
    1342             :             /*
    1343             :              * This array scan key is redundant with a previous equality
    1344             :              * operator array scan key.  Merge the two arrays together to
    1345             :              * eliminate contradictory non-intersecting elements (or try to).
    1346             :              *
    1347             :              * We merge this next array back into attribute's original array.
    1348             :              */
    1349             :             Assert(arrayKeyData[orig->scan_key].sk_attno == cur->sk_attno);
    1350             :             Assert(arrayKeyData[orig->scan_key].sk_collation ==
    1351             :                    cur->sk_collation);
    1352          12 :             if (_bt_merge_arrays(scan, cur, sortprocp, reverse,
    1353             :                                  origelemtype, elemtype,
    1354             :                                  orig->elem_values, &orig->num_elems,
    1355             :                                  elem_values, num_elems))
    1356             :             {
    1357             :                 /* Successfully eliminated this array */
    1358          12 :                 pfree(elem_values);
    1359             : 
    1360             :                 /*
    1361             :                  * If no intersecting elements remain in the original array,
    1362             :                  * the scan qual is unsatisfiable
    1363             :                  */
    1364          12 :                 if (orig->num_elems == 0)
    1365             :                 {
    1366           6 :                     so->qual_ok = false;
    1367           6 :                     break;
    1368             :                 }
    1369             : 
    1370             :                 /* Throw away this scan key/array */
    1371           6 :                 continue;
    1372             :             }
    1373             : 
    1374             :             /*
    1375             :              * Unable to merge this array with previous array due to a lack of
    1376             :              * suitable cross-type opfamily support.  Will need to keep both
    1377             :              * scan keys/arrays.
    1378             :              */
    1379             :         }
    1380             :         else
    1381             :         {
    1382             :             /*
    1383             :              * This array is the first for current index attribute.
    1384             :              *
    1385             :              * If it turns out to not be the last array (that is, if the next
    1386             :              * array is redundantly applied to this same index attribute),
    1387             :              * we'll then treat this array as the attribute's "original" array
    1388             :              * when merging.
    1389             :              */
    1390        1262 :             origarrayatt = cur->sk_attno;
    1391        1262 :             origarraykey = numArrayKeys;
    1392        1262 :             origelemtype = elemtype;
    1393             :         }
    1394             : 
    1395             :         /*
    1396             :          * And set up the BTArrayKeyInfo data.
    1397             :          *
    1398             :          * Note: _bt_preprocess_array_keys_final will fix-up each array's
    1399             :          * scan_key field later on, after so->keyData[] has been finalized.
    1400             :          */
    1401        1262 :         so->arrayKeys[numArrayKeys].scan_key = output_ikey;
    1402        1262 :         so->arrayKeys[numArrayKeys].num_elems = num_elems;
    1403        1262 :         so->arrayKeys[numArrayKeys].elem_values = elem_values;
    1404        1262 :         numArrayKeys++;
    1405        1262 :         output_ikey++;          /* keep this scan key/array */
    1406             :     }
    1407             : 
    1408             :     /* Set final number of equality-type array keys */
    1409        1112 :     so->numArrayKeys = numArrayKeys;
    1410             :     /* Set number of scan keys remaining in arrayKeyData[] */
    1411        1112 :     *new_numberOfKeys = output_ikey;
    1412             : 
    1413        1112 :     MemoryContextSwitchTo(oldContext);
    1414             : 
    1415        1112 :     return arrayKeyData;
    1416             : }
    1417             : 
    1418             : /*
    1419             :  *  _bt_preprocess_array_keys_final() -- fix up array scan key references
    1420             :  *
    1421             :  * When _bt_preprocess_array_keys performed initial array preprocessing, it
    1422             :  * set each array's array->scan_key to its scankey's arrayKeyData[] offset.
    1423             :  * This function handles translation of the scan key references from the
    1424             :  * BTArrayKeyInfo info array, from input scan key references (to the keys in
    1425             :  * arrayKeyData[]), into output references (to the keys in so->keyData[]).
    1426             :  * Caller's keyDataMap[] array tells us how to perform this remapping.
    1427             :  *
    1428             :  * Also finalizes so->orderProcs[] for the scan.  Arrays already have an ORDER
    1429             :  * proc, which might need to be repositioned to its so->keyData[]-wise offset
    1430             :  * (very much like the remapping that we apply to array->scan_key references).
    1431             :  * Non-array equality strategy scan keys (that survived preprocessing) don't
    1432             :  * yet have an so->orderProcs[] entry, so we set one for them here.
    1433             :  *
    1434             :  * Also converts single-element array scan keys into equivalent non-array
    1435             :  * equality scan keys, which decrements so->numArrayKeys.  It's possible that
    1436             :  * this will leave this new btrescan without any arrays at all.  This isn't
    1437             :  * necessary for correctness; it's just an optimization.  Non-array equality
    1438             :  * scan keys are slightly faster than equivalent array scan keys at runtime.
    1439             :  */
    1440             : static void
    1441         582 : _bt_preprocess_array_keys_final(IndexScanDesc scan, int *keyDataMap)
    1442             : {
    1443         582 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1444         582 :     Relation    rel = scan->indexRelation;
    1445         582 :     int         arrayidx = 0;
    1446         582 :     int         last_equal_output_ikey PG_USED_FOR_ASSERTS_ONLY = -1;
    1447             : 
    1448             :     Assert(so->qual_ok);
    1449             : 
    1450             :     /*
    1451             :      * Nothing for us to do when _bt_preprocess_array_keys only had to deal
    1452             :      * with array inequalities
    1453             :      */
    1454         582 :     if (so->numArrayKeys == 0)
    1455           0 :         return;
    1456             : 
    1457        1758 :     for (int output_ikey = 0; output_ikey < so->numberOfKeys; output_ikey++)
    1458             :     {
    1459        1188 :         ScanKey     outkey = so->keyData + output_ikey;
    1460             :         int         input_ikey;
    1461        1188 :         bool        found PG_USED_FOR_ASSERTS_ONLY = false;
    1462             : 
    1463             :         Assert(outkey->sk_strategy != InvalidStrategy);
    1464             : 
    1465        1188 :         if (outkey->sk_strategy != BTEqualStrategyNumber)
    1466          24 :             continue;
    1467             : 
    1468        1164 :         input_ikey = keyDataMap[output_ikey];
    1469             : 
    1470             :         Assert(last_equal_output_ikey < output_ikey);
    1471             :         Assert(last_equal_output_ikey < input_ikey);
    1472        1164 :         last_equal_output_ikey = output_ikey;
    1473             : 
    1474             :         /*
    1475             :          * We're lazy about looking up ORDER procs for non-array keys, since
    1476             :          * not all input keys become output keys.  Take care of it now.
    1477             :          */
    1478        1164 :         if (!(outkey->sk_flags & SK_SEARCHARRAY))
    1479             :         {
    1480             :             Oid         elemtype;
    1481             : 
    1482             :             /* No need for an ORDER proc given an IS NULL scan key */
    1483         420 :             if (outkey->sk_flags & SK_SEARCHNULL)
    1484           6 :                 continue;
    1485             : 
    1486             :             /*
    1487             :              * A non-required scan key doesn't need an ORDER proc, either
    1488             :              * (unless it's associated with an array, which this one isn't)
    1489             :              */
    1490         414 :             if (!(outkey->sk_flags & SK_BT_REQFWD))
    1491          90 :                 continue;
    1492             : 
    1493         324 :             elemtype = outkey->sk_subtype;
    1494         324 :             if (elemtype == InvalidOid)
    1495           0 :                 elemtype = rel->rd_opcintype[outkey->sk_attno - 1];
    1496             : 
    1497         324 :             _bt_setup_array_cmp(scan, outkey, elemtype,
    1498         324 :                                 &so->orderProcs[output_ikey], NULL);
    1499         324 :             continue;
    1500             :         }
    1501             : 
    1502             :         /*
    1503             :          * Reorder existing array scan key so->orderProcs[] entries.
    1504             :          *
    1505             :          * Doing this in-place is safe because preprocessing is required to
    1506             :          * output all equality strategy scan keys in original input order
    1507             :          * (among each group of entries against the same index attribute).
    1508             :          * This is also the order that the arrays themselves appear in.
    1509             :          */
    1510         744 :         so->orderProcs[output_ikey] = so->orderProcs[input_ikey];
    1511             : 
    1512             :         /* Fix-up array->scan_key references for arrays */
    1513         744 :         for (; arrayidx < so->numArrayKeys; arrayidx++)
    1514             :         {
    1515         744 :             BTArrayKeyInfo *array = &so->arrayKeys[arrayidx];
    1516             : 
    1517             :             Assert(array->num_elems > 0);
    1518             : 
    1519         744 :             if (array->scan_key == input_ikey)
    1520             :             {
    1521             :                 /* found it */
    1522         744 :                 array->scan_key = output_ikey;
    1523         744 :                 found = true;
    1524             : 
    1525             :                 /*
    1526             :                  * Transform array scan keys that have exactly 1 element
    1527             :                  * remaining (following all prior preprocessing) into
    1528             :                  * equivalent non-array scan keys.
    1529             :                  */
    1530         744 :                 if (array->num_elems == 1)
    1531             :                 {
    1532          18 :                     outkey->sk_flags &= ~SK_SEARCHARRAY;
    1533          18 :                     outkey->sk_argument = array->elem_values[0];
    1534          18 :                     so->numArrayKeys--;
    1535             : 
    1536             :                     /* If we're out of array keys, we can quit right away */
    1537          18 :                     if (so->numArrayKeys == 0)
    1538          12 :                         return;
    1539             : 
    1540             :                     /* Shift other arrays forward */
    1541           6 :                     memmove(array, array + 1,
    1542             :                             sizeof(BTArrayKeyInfo) *
    1543           6 :                             (so->numArrayKeys - arrayidx));
    1544             : 
    1545             :                     /*
    1546             :                      * Don't increment arrayidx (there was an entry that was
    1547             :                      * just shifted forward to the offset at arrayidx, which
    1548             :                      * will still need to be matched)
    1549             :                      */
    1550             :                 }
    1551             :                 else
    1552             :                 {
    1553             :                     /* Match found, so done with this array */
    1554         726 :                     arrayidx++;
    1555             :                 }
    1556             : 
    1557         732 :                 break;
    1558             :             }
    1559             :         }
    1560             : 
    1561             :         Assert(found);
    1562             :     }
    1563             : 
    1564             :     /*
    1565             :      * Parallel index scans require space in shared memory to store the
    1566             :      * current array elements (for arrays kept by preprocessing) to schedule
    1567             :      * the next primitive index scan.  The underlying structure is protected
    1568             :      * using a spinlock, so defensively limit its size.  In practice this can
    1569             :      * only affect parallel scans that use an incomplete opfamily.
    1570             :      */
    1571         570 :     if (scan->parallel_scan && so->numArrayKeys > INDEX_MAX_KEYS)
    1572           0 :         ereport(ERROR,
    1573             :                 (errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
    1574             :                  errmsg_internal("number of array scan keys left by preprocessing (%d) exceeds the maximum allowed by parallel btree index scans (%d)",
    1575             :                                  so->numArrayKeys, INDEX_MAX_KEYS)));
    1576             : }
    1577             : 
    1578             : /*
    1579             :  * _bt_find_extreme_element() -- get least or greatest array element
    1580             :  *
    1581             :  * scan and skey identify the index column, whose opfamily determines the
    1582             :  * comparison semantics.  strat should be BTLessStrategyNumber to get the
    1583             :  * least element, or BTGreaterStrategyNumber to get the greatest.
    1584             :  */
    1585             : static Datum
    1586          12 : _bt_find_extreme_element(IndexScanDesc scan, ScanKey skey, Oid elemtype,
    1587             :                          StrategyNumber strat,
    1588             :                          Datum *elems, int nelems)
    1589             : {
    1590          12 :     Relation    rel = scan->indexRelation;
    1591             :     Oid         cmp_op;
    1592             :     RegProcedure cmp_proc;
    1593             :     FmgrInfo    flinfo;
    1594             :     Datum       result;
    1595             :     int         i;
    1596             : 
    1597             :     /*
    1598             :      * Look up the appropriate comparison operator in the opfamily.
    1599             :      *
    1600             :      * Note: it's possible that this would fail, if the opfamily is
    1601             :      * incomplete, but it seems quite unlikely that an opfamily would omit
    1602             :      * non-cross-type comparison operators for any datatype that it supports
    1603             :      * at all.
    1604             :      */
    1605             :     Assert(skey->sk_strategy != BTEqualStrategyNumber);
    1606             :     Assert(OidIsValid(elemtype));
    1607          12 :     cmp_op = get_opfamily_member(rel->rd_opfamily[skey->sk_attno - 1],
    1608             :                                  elemtype,
    1609             :                                  elemtype,
    1610             :                                  strat);
    1611          12 :     if (!OidIsValid(cmp_op))
    1612           0 :         elog(ERROR, "missing operator %d(%u,%u) in opfamily %u",
    1613             :              strat, elemtype, elemtype,
    1614             :              rel->rd_opfamily[skey->sk_attno - 1]);
    1615          12 :     cmp_proc = get_opcode(cmp_op);
    1616          12 :     if (!RegProcedureIsValid(cmp_proc))
    1617           0 :         elog(ERROR, "missing oprcode for operator %u", cmp_op);
    1618             : 
    1619          12 :     fmgr_info(cmp_proc, &flinfo);
    1620             : 
    1621             :     Assert(nelems > 0);
    1622          12 :     result = elems[0];
    1623          36 :     for (i = 1; i < nelems; i++)
    1624             :     {
    1625          24 :         if (DatumGetBool(FunctionCall2Coll(&flinfo,
    1626             :                                            skey->sk_collation,
    1627          24 :                                            elems[i],
    1628             :                                            result)))
    1629           6 :             result = elems[i];
    1630             :     }
    1631             : 
    1632          12 :     return result;
    1633             : }
    1634             : 
    1635             : /*
    1636             :  * _bt_setup_array_cmp() -- Set up array comparison functions
    1637             :  *
    1638             :  * Sets ORDER proc in caller's orderproc argument, which is used during binary
    1639             :  * searches of arrays during the index scan.  Also sets a same-type ORDER proc
    1640             :  * in caller's *sortprocp argument, which is used when sorting the array.
    1641             :  *
    1642             :  * Preprocessing calls here with all equality strategy scan keys (when scan
    1643             :  * uses equality array keys), including those not associated with any array.
    1644             :  * See _bt_advance_array_keys for an explanation of why it'll need to treat
    1645             :  * simple scalar equality scan keys as degenerate single element arrays.
    1646             :  *
    1647             :  * Caller should pass an orderproc pointing to space that'll store the ORDER
    1648             :  * proc for the scan, and a *sortprocp pointing to its own separate space.
    1649             :  * When calling here for a non-array scan key, sortprocp arg should be NULL.
    1650             :  *
    1651             :  * In the common case where we don't need to deal with cross-type operators,
    1652             :  * only one ORDER proc is actually required by caller.  We'll set *sortprocp
    1653             :  * to point to the same memory that caller's orderproc continues to point to.
    1654             :  * Otherwise, *sortprocp will continue to point to caller's own space.  Either
    1655             :  * way, *sortprocp will point to a same-type ORDER proc (since that's the only
    1656             :  * safe way to sort/deduplicate the array associated with caller's scan key).
    1657             :  */
    1658             : static void
    1659        1598 : _bt_setup_array_cmp(IndexScanDesc scan, ScanKey skey, Oid elemtype,
    1660             :                     FmgrInfo *orderproc, FmgrInfo **sortprocp)
    1661             : {
    1662        1598 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1663        1598 :     Relation    rel = scan->indexRelation;
    1664             :     RegProcedure cmp_proc;
    1665        1598 :     Oid         opcintype = rel->rd_opcintype[skey->sk_attno - 1];
    1666             : 
    1667             :     Assert(skey->sk_strategy == BTEqualStrategyNumber);
    1668             :     Assert(OidIsValid(elemtype));
    1669             : 
    1670             :     /*
    1671             :      * If scankey operator is not a cross-type comparison, we can use the
    1672             :      * cached comparison function; otherwise gotta look it up in the catalogs
    1673             :      */
    1674        1598 :     if (elemtype == opcintype)
    1675             :     {
    1676             :         /* Set same-type ORDER procs for caller */
    1677        1592 :         *orderproc = *index_getprocinfo(rel, skey->sk_attno, BTORDER_PROC);
    1678        1592 :         if (sortprocp)
    1679        1268 :             *sortprocp = orderproc;
    1680             : 
    1681        1592 :         return;
    1682             :     }
    1683             : 
    1684             :     /*
    1685             :      * Look up the appropriate cross-type comparison function in the opfamily.
    1686             :      *
    1687             :      * Use the opclass input type as the left hand arg type, and the array
    1688             :      * element type as the right hand arg type (since binary searches use an
    1689             :      * index tuple's attribute value to search for a matching array element).
    1690             :      *
    1691             :      * Note: it's possible that this would fail, if the opfamily is
    1692             :      * incomplete, but only in cases where it's quite likely that _bt_first
    1693             :      * would fail in just the same way (had we not failed before it could).
    1694             :      */
    1695           6 :     cmp_proc = get_opfamily_proc(rel->rd_opfamily[skey->sk_attno - 1],
    1696             :                                  opcintype, elemtype, BTORDER_PROC);
    1697           6 :     if (!RegProcedureIsValid(cmp_proc))
    1698           0 :         elog(ERROR, "missing support function %d(%u,%u) for attribute %d of index \"%s\"",
    1699             :              BTORDER_PROC, opcintype, elemtype, skey->sk_attno,
    1700             :              RelationGetRelationName(rel));
    1701             : 
    1702             :     /* Set cross-type ORDER proc for caller */
    1703           6 :     fmgr_info_cxt(cmp_proc, orderproc, so->arrayContext);
    1704             : 
    1705             :     /* Done if caller doesn't actually have an array they'll need to sort */
    1706           6 :     if (!sortprocp)
    1707           0 :         return;
    1708             : 
    1709             :     /*
    1710             :      * Look up the appropriate same-type comparison function in the opfamily.
    1711             :      *
    1712             :      * Note: it's possible that this would fail, if the opfamily is
    1713             :      * incomplete, but it seems quite unlikely that an opfamily would omit
    1714             :      * non-cross-type comparison procs for any datatype that it supports at
    1715             :      * all.
    1716             :      */
    1717           6 :     cmp_proc = get_opfamily_proc(rel->rd_opfamily[skey->sk_attno - 1],
    1718             :                                  elemtype, elemtype, BTORDER_PROC);
    1719           6 :     if (!RegProcedureIsValid(cmp_proc))
    1720           0 :         elog(ERROR, "missing support function %d(%u,%u) for attribute %d of index \"%s\"",
    1721             :              BTORDER_PROC, elemtype, elemtype,
    1722             :              skey->sk_attno, RelationGetRelationName(rel));
    1723             : 
    1724             :     /* Set same-type ORDER proc for caller */
    1725           6 :     fmgr_info_cxt(cmp_proc, *sortprocp, so->arrayContext);
    1726             : }
    1727             : 
    1728             : /*
    1729             :  * _bt_sort_array_elements() -- sort and de-dup array elements
    1730             :  *
    1731             :  * The array elements are sorted in-place, and the new number of elements
    1732             :  * after duplicate removal is returned.
    1733             :  *
    1734             :  * skey identifies the index column whose opfamily determines the comparison
    1735             :  * semantics, and sortproc is a corresponding ORDER proc.  If reverse is true,
    1736             :  * we sort in descending order.
    1737             :  */
    1738             : static int
    1739        1274 : _bt_sort_array_elements(ScanKey skey, FmgrInfo *sortproc, bool reverse,
    1740             :                         Datum *elems, int nelems)
    1741             : {
    1742             :     BTSortArrayContext cxt;
    1743             : 
    1744        1274 :     if (nelems <= 1)
    1745          12 :         return nelems;          /* no work to do */
    1746             : 
    1747             :     /* Sort the array elements */
    1748        1262 :     cxt.sortproc = sortproc;
    1749        1262 :     cxt.collation = skey->sk_collation;
    1750        1262 :     cxt.reverse = reverse;
    1751        1262 :     qsort_arg(elems, nelems, sizeof(Datum),
    1752             :               _bt_compare_array_elements, &cxt);
    1753             : 
    1754             :     /* Now scan the sorted elements and remove duplicates */
    1755        1262 :     return qunique_arg(elems, nelems, sizeof(Datum),
    1756             :                        _bt_compare_array_elements, &cxt);
    1757             : }
    1758             : 
    1759             : /*
    1760             :  * _bt_merge_arrays() -- merge next array's elements into an original array
    1761             :  *
    1762             :  * Called when preprocessing encounters a pair of array equality scan keys,
    1763             :  * both against the same index attribute (during initial array preprocessing).
    1764             :  * Merging reorganizes caller's original array (the left hand arg) in-place,
    1765             :  * without ever copying elements from one array into the other. (Mixing the
    1766             :  * elements together like this would be wrong, since they don't necessarily
    1767             :  * use the same underlying element type, despite all the other similarities.)
    1768             :  *
    1769             :  * Both arrays must have already been sorted and deduplicated by calling
    1770             :  * _bt_sort_array_elements.  sortproc is the same-type ORDER proc that was
    1771             :  * just used to sort and deduplicate caller's "next" array.  We'll usually be
    1772             :  * able to reuse that order PROC to merge the arrays together now.  If not,
    1773             :  * then we'll perform a separate ORDER proc lookup.
    1774             :  *
    1775             :  * If the opfamily doesn't supply a complete set of cross-type ORDER procs we
    1776             :  * may not be able to determine which elements are contradictory.  If we have
    1777             :  * the required ORDER proc then we return true (and validly set *nelems_orig),
    1778             :  * guaranteeing that at least the next array can be considered redundant.  We
    1779             :  * return false if the required comparisons cannot be made (caller must keep
    1780             :  * both arrays when this happens).
    1781             :  */
    1782             : static bool
    1783          12 : _bt_merge_arrays(IndexScanDesc scan, ScanKey skey, FmgrInfo *sortproc,
    1784             :                  bool reverse, Oid origelemtype, Oid nextelemtype,
    1785             :                  Datum *elems_orig, int *nelems_orig,
    1786             :                  Datum *elems_next, int nelems_next)
    1787             : {
    1788          12 :     Relation    rel = scan->indexRelation;
    1789          12 :     BTScanOpaque so = (BTScanOpaque) scan->opaque;
    1790             :     BTSortArrayContext cxt;
    1791          12 :     int         nelems_orig_start = *nelems_orig,
    1792          12 :                 nelems_orig_merged = 0;
    1793          12 :     FmgrInfo   *mergeproc = sortproc;
    1794             :     FmgrInfo    crosstypeproc;
    1795             : 
    1796             :     Assert(skey->sk_strategy == BTEqualStrategyNumber);
    1797             :     Assert(OidIsValid(origelemtype) && OidIsValid(nextelemtype));
    1798             : 
    1799          12 :     if (origelemtype != nextelemtype)
    1800             :     {
    1801             :         RegProcedure cmp_proc;
    1802             : 
    1803             :         /*
    1804             :          * Cross-array-element-type merging is required, so can't just reuse
    1805             :          * sortproc when merging
    1806             :          */
    1807           6 :         cmp_proc = get_opfamily_proc(rel->rd_opfamily[skey->sk_attno - 1],
    1808             :                                      origelemtype, nextelemtype, BTORDER_PROC);
    1809           6 :         if (!RegProcedureIsValid(cmp_proc))
    1810             :         {
    1811             :             /* Can't make the required comparisons */
    1812           0 :             return false;
    1813             :         }
    1814             : 
    1815             :         /* We have all we need to determine redundancy/contradictoriness */
    1816           6 :         mergeproc = &crosstypeproc;
    1817           6 :         fmgr_info_cxt(cmp_proc, mergeproc, so->arrayContext);
    1818             :     }
    1819             : 
    1820          12 :     cxt.sortproc = mergeproc;
    1821          12 :     cxt.collation = skey->sk_collation;
    1822          12 :     cxt.reverse = reverse;
    1823             : 
    1824          54 :     for (int i = 0, j = 0; i < nelems_orig_start && j < nelems_next;)
    1825             :     {
    1826          42 :         Datum      *oelem = elems_orig + i,
    1827          42 :                    *nelem = elems_next + j;
    1828          42 :         int         res = _bt_compare_array_elements(oelem, nelem, &cxt);
    1829             : 
    1830          42 :         if (res == 0)
    1831             :         {
    1832           6 :             elems_orig[nelems_orig_merged++] = *oelem;
    1833           6 :             i++;
    1834           6 :             j++;
    1835             :         }
    1836          36 :         else if (res < 0)
    1837          24 :             i++;
    1838             :         else                    /* res > 0 */
    1839          12 :             j++;
    1840             :     }
    1841             : 
    1842          12 :     *nelems_orig = nelems_orig_merged;
    1843             : 
    1844          12 :     return true;
    1845             : }
    1846             : 
    1847             : /*
    1848             :  * qsort_arg comparator for sorting array elements
    1849             :  */
    1850             : static int
    1851        9498 : _bt_compare_array_elements(const void *a, const void *b, void *arg)
    1852             : {
    1853        9498 :     Datum       da = *((const Datum *) a);
    1854        9498 :     Datum       db = *((const Datum *) b);
    1855        9498 :     BTSortArrayContext *cxt = (BTSortArrayContext *) arg;
    1856             :     int32       compare;
    1857             : 
    1858        9498 :     compare = DatumGetInt32(FunctionCall2Coll(cxt->sortproc,
    1859             :                                               cxt->collation,
    1860             :                                               da, db));
    1861        9498 :     if (cxt->reverse)
    1862          30 :         INVERT_COMPARE_RESULT(compare);
    1863        9498 :     return compare;
    1864             : }

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