LCOV - differential code coverage report
Current view: top level - src/backend/nodes - bitmapset.c (source / functions) Coverage Total Hit UNC LBC UIC UBC GBC GIC GNC CBC EUB ECB DUB DCB
Current: Differential Code Coverage HEAD vs 15 Lines: 84.1 % 433 364 3 15 33 18 12 186 22 144 35 184 4 21
Current Date: 2023-04-08 17:13:01 Functions: 100.0 % 32 32 27 4 1 27 1
Baseline: 15 Line coverage date bins:
Baseline Date: 2023-04-08 15:09:40 [..60] days: 87.0 % 23 20 3 20
Legend: Lines: hit not hit (120,180] days: 100.0 % 2 2 2
(240..) days: 83.8 % 408 342 15 33 18 12 186 144 35 184
Function coverage date bins:
[..60] days: 100.0 % 1 1 1
(240..) days: 53.4 % 58 31 27 3 1 27

 Age         Owner                  TLA  Line data    Source code
                                  1                 : /*-------------------------------------------------------------------------
                                  2                 :  *
                                  3                 :  * bitmapset.c
                                  4                 :  *    PostgreSQL generic bitmap set package
                                  5                 :  *
                                  6                 :  * A bitmap set can represent any set of nonnegative integers, although
                                  7                 :  * it is mainly intended for sets where the maximum value is not large,
                                  8                 :  * say at most a few hundred.  By convention, we always represent the
                                  9                 :  * empty set by a NULL pointer.
                                 10                 :  *
                                 11                 :  *
                                 12                 :  * Copyright (c) 2003-2023, PostgreSQL Global Development Group
                                 13                 :  *
                                 14                 :  * IDENTIFICATION
                                 15                 :  *    src/backend/nodes/bitmapset.c
                                 16                 :  *
                                 17                 :  *-------------------------------------------------------------------------
                                 18                 :  */
                                 19                 : #include "postgres.h"
                                 20                 : 
                                 21                 : #include "common/hashfn.h"
                                 22                 : #include "nodes/bitmapset.h"
                                 23                 : #include "nodes/pg_list.h"
                                 24                 : #include "port/pg_bitutils.h"
                                 25                 : 
                                 26                 : 
                                 27                 : #define WORDNUM(x)  ((x) / BITS_PER_BITMAPWORD)
                                 28                 : #define BITNUM(x)   ((x) % BITS_PER_BITMAPWORD)
                                 29                 : 
                                 30                 : #define BITMAPSET_SIZE(nwords)  \
                                 31                 :     (offsetof(Bitmapset, words) + (nwords) * sizeof(bitmapword))
                                 32                 : 
                                 33                 : /*----------
                                 34                 :  * This is a well-known cute trick for isolating the rightmost one-bit
                                 35                 :  * in a word.  It assumes two's complement arithmetic.  Consider any
                                 36                 :  * nonzero value, and focus attention on the rightmost one.  The value is
                                 37                 :  * then something like
                                 38                 :  *              xxxxxx10000
                                 39                 :  * where x's are unspecified bits.  The two's complement negative is formed
                                 40                 :  * by inverting all the bits and adding one.  Inversion gives
                                 41                 :  *              yyyyyy01111
                                 42                 :  * where each y is the inverse of the corresponding x.  Incrementing gives
                                 43                 :  *              yyyyyy10000
                                 44                 :  * and then ANDing with the original value gives
                                 45                 :  *              00000010000
                                 46                 :  * This works for all cases except original value = zero, where of course
                                 47                 :  * we get zero.
                                 48                 :  *----------
                                 49                 :  */
                                 50                 : #define RIGHTMOST_ONE(x) ((signedbitmapword) (x) & -((signedbitmapword) (x)))
                                 51                 : 
                                 52                 : #define HAS_MULTIPLE_ONES(x)    ((bitmapword) RIGHTMOST_ONE(x) != (x))
                                 53                 : 
                                 54                 : /* Select appropriate bit-twiddling functions for bitmap word size */
                                 55                 : #if BITS_PER_BITMAPWORD == 32
                                 56                 : #define bmw_leftmost_one_pos(w)     pg_leftmost_one_pos32(w)
                                 57                 : #define bmw_rightmost_one_pos(w)    pg_rightmost_one_pos32(w)
                                 58                 : #define bmw_popcount(w)             pg_popcount32(w)
                                 59                 : #elif BITS_PER_BITMAPWORD == 64
                                 60                 : #define bmw_leftmost_one_pos(w)     pg_leftmost_one_pos64(w)
                                 61                 : #define bmw_rightmost_one_pos(w)    pg_rightmost_one_pos64(w)
                                 62                 : #define bmw_popcount(w)             pg_popcount64(w)
                                 63                 : #else
                                 64                 : #error "invalid BITS_PER_BITMAPWORD"
                                 65                 : #endif
                                 66                 : 
                                 67                 : static bool bms_is_empty_internal(const Bitmapset *a);
                                 68                 : 
                                 69                 : 
                                 70                 : /*
                                 71                 :  * bms_copy - make a palloc'd copy of a bitmapset
                                 72                 :  */
                                 73                 : Bitmapset *
 7184 bruce                      74 CBC    13733411 : bms_copy(const Bitmapset *a)
                                 75                 : {
                                 76                 :     Bitmapset  *result;
                                 77                 :     size_t      size;
                                 78                 : 
 7365 tgl                        79        13733411 :     if (a == NULL)
                                 80         7055322 :         return NULL;
                                 81         6678089 :     size = BITMAPSET_SIZE(a->nwords);
                                 82         6678089 :     result = (Bitmapset *) palloc(size);
                                 83         6678089 :     memcpy(result, a, size);
                                 84         6678089 :     return result;
                                 85                 : }
                                 86                 : 
                                 87                 : /*
                                 88                 :  * bms_equal - are two bitmapsets equal?
                                 89                 :  *
                                 90                 :  * This is logical not physical equality; in particular, a NULL pointer will
                                 91                 :  * be reported as equal to a palloc'd value containing no members.
                                 92                 :  */
                                 93                 : bool
 7184 bruce                      94         4242628 : bms_equal(const Bitmapset *a, const Bitmapset *b)
                                 95                 : {
                                 96                 :     const Bitmapset *shorter;
                                 97                 :     const Bitmapset *longer;
                                 98                 :     int         shortlen;
                                 99                 :     int         longlen;
                                100                 :     int         i;
                                101                 : 
                                102                 :     /* Handle cases where either input is NULL */
 7365 tgl                       103         4242628 :     if (a == NULL)
                                104                 :     {
                                105         2413524 :         if (b == NULL)
                                106         2380390 :             return true;
   38 tgl                       107 GNC       33134 :         return false;
                                108                 :     }
 7365 tgl                       109 CBC     1829104 :     else if (b == NULL)
   38 tgl                       110 GNC        8709 :         return false;
                                111                 :     /* Identify shorter and longer input */
 7365 tgl                       112 CBC     1820395 :     if (a->nwords <= b->nwords)
                                113                 :     {
                                114         1820395 :         shorter = a;
                                115         1820395 :         longer = b;
                                116                 :     }
                                117                 :     else
                                118                 :     {
 7365 tgl                       119 UBC           0 :         shorter = b;
                                120               0 :         longer = a;
                                121                 :     }
                                122                 :     /* And process */
 7365 tgl                       123 CBC     1820395 :     shortlen = shorter->nwords;
                                124         2577213 :     for (i = 0; i < shortlen; i++)
                                125                 :     {
                                126         1820395 :         if (shorter->words[i] != longer->words[i])
                                127         1063577 :             return false;
                                128                 :     }
                                129          756818 :     longlen = longer->nwords;
                                130          756818 :     for (; i < longlen; i++)
                                131                 :     {
 7365 tgl                       132 UBC           0 :         if (longer->words[i] != 0)
                                133               0 :             return false;
                                134                 :     }
 7365 tgl                       135 CBC      756818 :     return true;
                                136                 : }
                                137                 : 
                                138                 : /*
                                139                 :  * bms_compare - qsort-style comparator for bitmapsets
                                140                 :  *
                                141                 :  * This guarantees to report values as equal iff bms_equal would say they are
                                142                 :  * equal.  Otherwise, the highest-numbered bit that is set in one value but
                                143                 :  * not the other determines the result.  (This rule means that, for example,
                                144                 :  * {6} is greater than {5}, which seems plausible.)
                                145                 :  */
                                146                 : int
 1916                           147            9710 : bms_compare(const Bitmapset *a, const Bitmapset *b)
                                148                 : {
                                149                 :     int         shortlen;
                                150                 :     int         i;
                                151                 : 
                                152                 :     /* Handle cases where either input is NULL */
                                153            9710 :     if (a == NULL)
   38 tgl                       154 UNC           0 :         return (b == NULL) ? 0 : -1;
 1916 tgl                       155 CBC        9710 :     else if (b == NULL)
   38 tgl                       156 UNC           0 :         return +1;
                                157                 :     /* Handle cases where one input is longer than the other */
 1916 tgl                       158 CBC        9710 :     shortlen = Min(a->nwords, b->nwords);
                                159            9710 :     for (i = shortlen; i < a->nwords; i++)
                                160                 :     {
 1916 tgl                       161 UBC           0 :         if (a->words[i] != 0)
                                162               0 :             return +1;
                                163                 :     }
 1916 tgl                       164 CBC        9710 :     for (i = shortlen; i < b->nwords; i++)
                                165                 :     {
 1916 tgl                       166 UBC           0 :         if (b->words[i] != 0)
                                167               0 :             return -1;
                                168                 :     }
                                169                 :     /* Process words in common */
 1916 tgl                       170 CBC        9710 :     i = shortlen;
                                171            9710 :     while (--i >= 0)
                                172                 :     {
                                173            9710 :         bitmapword  aw = a->words[i];
                                174            9710 :         bitmapword  bw = b->words[i];
                                175                 : 
                                176            9710 :         if (aw != bw)
                                177            9710 :             return (aw > bw) ? +1 : -1;
                                178                 :     }
 1916 tgl                       179 UBC           0 :     return 0;
                                180                 : }
                                181                 : 
                                182                 : /*
                                183                 :  * bms_make_singleton - build a bitmapset containing a single member
                                184                 :  */
                                185                 : Bitmapset *
 7365 tgl                       186 CBC     5503461 : bms_make_singleton(int x)
                                187                 : {
                                188                 :     Bitmapset  *result;
                                189                 :     int         wordnum,
                                190                 :                 bitnum;
                                191                 : 
                                192         5503461 :     if (x < 0)
 7201 tgl                       193 UBC           0 :         elog(ERROR, "negative bitmapset member not allowed");
 7365 tgl                       194 CBC     5503461 :     wordnum = WORDNUM(x);
                                195         5503461 :     bitnum = BITNUM(x);
                                196         5503461 :     result = (Bitmapset *) palloc0(BITMAPSET_SIZE(wordnum + 1));
  147 tgl                       197 GNC     5503461 :     result->type = T_Bitmapset;
 7365 tgl                       198 CBC     5503461 :     result->nwords = wordnum + 1;
                                199         5503461 :     result->words[wordnum] = ((bitmapword) 1 << bitnum);
                                200         5503461 :     return result;
 7365 tgl                       201 ECB             : }
                                202                 : 
                                203                 : /*
                                204                 :  * bms_free - free a bitmapset
                                205                 :  *
                                206                 :  * Same as pfree except for allowing NULL input
                                207                 :  */
                                208                 : void
 7184 bruce                     209 GIC    11634462 : bms_free(Bitmapset *a)
 7365 tgl                       210 ECB             : {
 7365 tgl                       211 GIC    11634462 :     if (a)
 7365 tgl                       212 CBC     4036168 :         pfree(a);
                                213        11634462 : }
 7365 tgl                       214 ECB             : 
                                215                 : 
                                216                 : /*
                                217                 :  * These operations all make a freshly palloc'd result,
                                218                 :  * leaving their inputs untouched
                                219                 :  */
                                220                 : 
                                221                 : 
                                222                 : /*
                                223                 :  * bms_union - set union
                                224                 :  */
                                225                 : Bitmapset *
 7184 bruce                     226 GIC     3446165 : bms_union(const Bitmapset *a, const Bitmapset *b)
 7365 tgl                       227 ECB             : {
                                228                 :     Bitmapset  *result;
                                229                 :     const Bitmapset *other;
                                230                 :     int         otherlen;
                                231                 :     int         i;
                                232                 : 
                                233                 :     /* Handle cases where either input is NULL */
 7365 tgl                       234 GIC     3446165 :     if (a == NULL)
 7365 tgl                       235 CBC     2347279 :         return bms_copy(b);
                                236         1098886 :     if (b == NULL)
                                237          508694 :         return bms_copy(a);
 7365 tgl                       238 ECB             :     /* Identify shorter and longer input; copy the longer one */
 7365 tgl                       239 GIC      590192 :     if (a->nwords <= b->nwords)
 7365 tgl                       240 ECB             :     {
 7365 tgl                       241 GIC      590192 :         result = bms_copy(b);
 7365 tgl                       242 CBC      590192 :         other = a;
 7365 tgl                       243 ECB             :     }
                                244                 :     else
                                245                 :     {
 7365 tgl                       246 UIC           0 :         result = bms_copy(a);
 7365 tgl                       247 UBC           0 :         other = b;
 7365 tgl                       248 EUB             :     }
                                249                 :     /* And union the shorter input into the result */
 7365 tgl                       250 GIC      590192 :     otherlen = other->nwords;
 7365 tgl                       251 CBC     1180384 :     for (i = 0; i < otherlen; i++)
                                252          590192 :         result->words[i] |= other->words[i];
                                253          590192 :     return result;
 7365 tgl                       254 ECB             : }
                                255                 : 
                                256                 : /*
                                257                 :  * bms_intersect - set intersection
                                258                 :  */
                                259                 : Bitmapset *
 7184 bruce                     260 GIC     1450076 : bms_intersect(const Bitmapset *a, const Bitmapset *b)
 7365 tgl                       261 ECB             : {
                                262                 :     Bitmapset  *result;
                                263                 :     const Bitmapset *other;
                                264                 :     int         resultlen;
                                265                 :     int         i;
                                266                 : 
                                267                 :     /* Handle cases where either input is NULL */
 7365 tgl                       268 GIC     1450076 :     if (a == NULL || b == NULL)
 7365 tgl                       269 CBC      758932 :         return NULL;
 7365 tgl                       270 ECB             :     /* Identify shorter and longer input; copy the shorter one */
 7365 tgl                       271 GIC      691144 :     if (a->nwords <= b->nwords)
 7365 tgl                       272 ECB             :     {
 7365 tgl                       273 GIC      691144 :         result = bms_copy(a);
 7365 tgl                       274 CBC      691144 :         other = b;
 7365 tgl                       275 ECB             :     }
                                276                 :     else
                                277                 :     {
 7365 tgl                       278 UIC           0 :         result = bms_copy(b);
 7365 tgl                       279 UBC           0 :         other = a;
 7365 tgl                       280 EUB             :     }
                                281                 :     /* And intersect the longer input with the result */
 7365 tgl                       282 GIC      691144 :     resultlen = result->nwords;
 7365 tgl                       283 CBC     1382288 :     for (i = 0; i < resultlen; i++)
                                284          691144 :         result->words[i] &= other->words[i];
                                285                 :     /* If we computed an empty result, we must return NULL */
   38 tgl                       286 GNC      691144 :     if (bms_is_empty_internal(result))
                                287                 :     {
                                288            6224 :         pfree(result);
                                289            6224 :         return NULL;
                                290                 :     }
 7365 tgl                       291 CBC      684920 :     return result;
                                292                 : }
 7365 tgl                       293 ECB             : 
                                294                 : /*
                                295                 :  * bms_difference - set difference (ie, A without members of B)
                                296                 :  */
                                297                 : Bitmapset *
 7184 bruce                     298 CBC     1221212 : bms_difference(const Bitmapset *a, const Bitmapset *b)
                                299                 : {
                                300                 :     Bitmapset  *result;
                                301                 :     int         shortlen;
                                302                 :     int         i;
                                303                 : 
                                304                 :     /* Handle cases where either input is NULL */
 7365 tgl                       305         1221212 :     if (a == NULL)
 7365 tgl                       306 GIC      643548 :         return NULL;
                                307          577664 :     if (b == NULL)
                                308          198693 :         return bms_copy(a);
                                309                 : 
                                310                 :     /*
                                311                 :      * In Postgres' usage, an empty result is a very common case, so it's
                                312                 :      * worth optimizing for that by testing bms_nonempty_difference().  This
                                313                 :      * saves us a palloc/pfree cycle compared to checking after-the-fact.
                                314                 :      */
   38 tgl                       315 GNC      378971 :     if (!bms_nonempty_difference(a, b))
                                316          307662 :         return NULL;
                                317                 : 
                                318                 :     /* Copy the left input */
 7365 tgl                       319 GIC       71309 :     result = bms_copy(a);
                                320                 :     /* And remove b's bits from result */
 7365 tgl                       321 CBC       71309 :     shortlen = Min(a->nwords, b->nwords);
                                322          142618 :     for (i = 0; i < shortlen; i++)
 7188 bruce                     323           71309 :         result->words[i] &= ~b->words[i];
                                324                 :     /* Need not check for empty result, since we handled that case above */
 7365 tgl                       325           71309 :     return result;
                                326                 : }
                                327                 : 
                                328                 : /*
                                329                 :  * bms_is_subset - is A a subset of B?
                                330                 :  */
                                331                 : bool
 7184 bruce                     332         8875317 : bms_is_subset(const Bitmapset *a, const Bitmapset *b)
 7365 tgl                       333 ECB             : {
                                334                 :     int         shortlen;
                                335                 :     int         longlen;
                                336                 :     int         i;
                                337                 : 
                                338                 :     /* Handle cases where either input is NULL */
 7365 tgl                       339 CBC     8875317 :     if (a == NULL)
                                340         2015013 :         return true;            /* empty set is a subset of anything */
 7365 tgl                       341 GIC     6860304 :     if (b == NULL)
   38 tgl                       342 GNC      153793 :         return false;
                                343                 :     /* Check common words */
 7365 tgl                       344 GIC     6706511 :     shortlen = Min(a->nwords, b->nwords);
                                345        10981901 :     for (i = 0; i < shortlen; i++)
                                346                 :     {
 7188 bruce                     347         6706511 :         if ((a->words[i] & ~b->words[i]) != 0)
 7365 tgl                       348         2431121 :             return false;
 7365 tgl                       349 ECB             :     }
                                350                 :     /* Check extra words */
 7365 tgl                       351 GIC     4275390 :     if (a->nwords > b->nwords)
                                352                 :     {
 7365 tgl                       353 UIC           0 :         longlen = a->nwords;
                                354               0 :         for (; i < longlen; i++)
                                355                 :         {
 7365 tgl                       356 LBC           0 :             if (a->words[i] != 0)
                                357               0 :                 return false;
 7365 tgl                       358 ECB             :         }
                                359                 :     }
 7365 tgl                       360 GIC     4275390 :     return true;
 7365 tgl                       361 ECB             : }
                                362                 : 
                                363                 : /*
 4090                           364                 :  * bms_subset_compare - compare A and B for equality/subset relationships
                                365                 :  *
                                366                 :  * This is more efficient than testing bms_is_subset in both directions.
                                367                 :  */
                                368                 : BMS_Comparison
 4090 tgl                       369 GIC      848836 : bms_subset_compare(const Bitmapset *a, const Bitmapset *b)
 4090 tgl                       370 EUB             : {
                                371                 :     BMS_Comparison result;
                                372                 :     int         shortlen;
                                373                 :     int         longlen;
                                374                 :     int         i;
                                375                 : 
                                376                 :     /* Handle cases where either input is NULL */
 4090 tgl                       377 CBC      848836 :     if (a == NULL)
                                378                 :     {
 4090 tgl                       379 GIC      716183 :         if (b == NULL)
                                380          686566 :             return BMS_EQUAL;
   38 tgl                       381 GNC       29617 :         return BMS_SUBSET1;
                                382                 :     }
 4090 tgl                       383 GIC      132653 :     if (b == NULL)
   38 tgl                       384 GNC       62632 :         return BMS_SUBSET2;
                                385                 :     /* Check common words */
 4090 tgl                       386 CBC       70021 :     result = BMS_EQUAL;         /* status so far */
 4090 tgl                       387 GIC       70021 :     shortlen = Min(a->nwords, b->nwords);
                                388          124444 :     for (i = 0; i < shortlen; i++)
                                389                 :     {
 3955 bruce                     390           70021 :         bitmapword  aword = a->words[i];
                                391           70021 :         bitmapword  bword = b->words[i];
                                392                 : 
 4090 tgl                       393           70021 :         if ((aword & ~bword) != 0)
 4090 tgl                       394 ECB             :         {
                                395                 :             /* a is not a subset of b */
 4090 tgl                       396 CBC       16737 :             if (result == BMS_SUBSET1)
 4090 tgl                       397 LBC           0 :                 return BMS_DIFFERENT;
 4090 tgl                       398 CBC       16737 :             result = BMS_SUBSET2;
                                399                 :         }
                                400           70021 :         if ((bword & ~aword) != 0)
 4090 tgl                       401 ECB             :         {
                                402                 :             /* b is not a subset of a */
 4090 tgl                       403 CBC       16773 :             if (result == BMS_SUBSET2)
                                404           15598 :                 return BMS_DIFFERENT;
                                405            1175 :             result = BMS_SUBSET1;
                                406                 :         }
 4090 tgl                       407 ECB             :     }
                                408                 :     /* Check extra words */
 4090 tgl                       409 GIC       54423 :     if (a->nwords > b->nwords)
 4090 tgl                       410 ECB             :     {
 4090 tgl                       411 UIC           0 :         longlen = a->nwords;
                                412               0 :         for (; i < longlen; i++)
 4090 tgl                       413 ECB             :         {
 4090 tgl                       414 UBC           0 :             if (a->words[i] != 0)
 4090 tgl                       415 ECB             :             {
                                416                 :                 /* a is not a subset of b */
 4090 tgl                       417 LBC           0 :                 if (result == BMS_SUBSET1)
 4090 tgl                       418 UIC           0 :                     return BMS_DIFFERENT;
                                419               0 :                 result = BMS_SUBSET2;
 4090 tgl                       420 ECB             :             }
                                421                 :         }
                                422                 :     }
 4090 tgl                       423 GIC       54423 :     else if (a->nwords < b->nwords)
                                424                 :     {
 4090 tgl                       425 UIC           0 :         longlen = b->nwords;
 4090 tgl                       426 LBC           0 :         for (; i < longlen; i++)
                                427                 :         {
 4090 tgl                       428 UBC           0 :             if (b->words[i] != 0)
 4090 tgl                       429 EUB             :             {
                                430                 :                 /* b is not a subset of a */
 4090 tgl                       431 UBC           0 :                 if (result == BMS_SUBSET2)
 4090 tgl                       432 UIC           0 :                     return BMS_DIFFERENT;
                                433               0 :                 result = BMS_SUBSET1;
 4090 tgl                       434 EUB             :             }
                                435                 :         }
                                436                 :     }
 4090 tgl                       437 GIC       54423 :     return result;
                                438                 : }
                                439                 : 
 7365 tgl                       440 ECB             : /*
                                441                 :  * bms_is_member - is X a member of A?
 7365 tgl                       442 EUB             :  */
                                443                 : bool
 7184 bruce                     444 GIC     6831270 : bms_is_member(int x, const Bitmapset *a)
 7365 tgl                       445 EUB             : {
                                446                 :     int         wordnum,
                                447                 :                 bitnum;
                                448                 : 
                                449                 :     /* XXX better to just return false for x<0 ? */
 7365 tgl                       450 GBC     6831270 :     if (x < 0)
 7201 tgl                       451 UIC           0 :         elog(ERROR, "negative bitmapset member not allowed");
 7365 tgl                       452 GIC     6831270 :     if (a == NULL)
                                453         4226728 :         return false;
 7365 tgl                       454 CBC     2604542 :     wordnum = WORDNUM(x);
 7365 tgl                       455 GIC     2604542 :     bitnum = BITNUM(x);
                                456         2604542 :     if (wordnum >= a->nwords)
                                457             113 :         return false;
                                458         2604429 :     if ((a->words[wordnum] & ((bitmapword) 1 << bitnum)) != 0)
                                459         1685048 :         return true;
                                460          919381 :     return false;
 7365 tgl                       461 ECB             : }
                                462                 : 
                                463                 : /*
                                464                 :  * bms_member_index
                                465                 :  *      determine 0-based index of member x in the bitmap
                                466                 :  *
 1474 tomas.vondra              467                 :  * Returns (-1) when x is not a member.
 1474 tomas.vondra              468 EUB             :  */
 1474 tomas.vondra              469 ECB             : int
 1474 tomas.vondra              470 CBC        2055 : bms_member_index(Bitmapset *a, int x)
 1474 tomas.vondra              471 ECB             : {
                                472                 :     int         i;
                                473                 :     int         bitnum;
                                474                 :     int         wordnum;
 1474 tomas.vondra              475 CBC        2055 :     int         result = 0;
 1474 tomas.vondra              476 ECB             :     bitmapword  mask;
                                477                 : 
                                478                 :     /* return -1 if not a member of the bitmap */
 1474 tomas.vondra              479 GIC        2055 :     if (!bms_is_member(x, a))
 1474 tomas.vondra              480 UIC           0 :         return -1;
                                481                 : 
 1474 tomas.vondra              482 GIC        2055 :     wordnum = WORDNUM(x);
                                483            2055 :     bitnum = BITNUM(x);
                                484                 : 
                                485                 :     /* count bits in preceding words */
                                486            2055 :     for (i = 0; i < wordnum; i++)
 1474 tomas.vondra              487 ECB             :     {
 1474 tomas.vondra              488 UIC           0 :         bitmapword  w = a->words[i];
                                489                 : 
                                490                 :         /* No need to count the bits in a zero word */
                                491               0 :         if (w != 0)
 1474 tomas.vondra              492 LBC           0 :             result += bmw_popcount(w);
                                493                 :     }
                                494                 : 
                                495                 :     /*
 1418 tgl                       496 ECB             :      * Now add bits of the last word, but only those before the item. We can
 1418 tgl                       497 EUB             :      * do that by applying a mask and then using popcount again. To get
                                498                 :      * 0-based index, we want to count only preceding bits, not the item
 1418 tgl                       499 ECB             :      * itself, so we subtract 1.
 1474 tomas.vondra              500                 :      */
 1474 tomas.vondra              501 GIC        2055 :     mask = ((bitmapword) 1 << bitnum) - 1;
                                502            2055 :     result += bmw_popcount(a->words[wordnum] & mask);
 1474 tomas.vondra              503 ECB             : 
 1474 tomas.vondra              504 GIC        2055 :     return result;
 1474 tomas.vondra              505 EUB             : }
                                506                 : 
                                507                 : /*
 7365 tgl                       508                 :  * bms_overlap - do sets overlap (ie, have a nonempty intersection)?
                                509                 :  */
                                510                 : bool
 7184 bruce                     511 GIC     9122799 : bms_overlap(const Bitmapset *a, const Bitmapset *b)
                                512                 : {
                                513                 :     int         shortlen;
                                514                 :     int         i;
                                515                 : 
                                516                 :     /* Handle cases where either input is NULL */
 7365 tgl                       517         9122799 :     if (a == NULL || b == NULL)
 7365 tgl                       518 CBC     5529143 :         return false;
 7365 tgl                       519 ECB             :     /* Check words in common */
 7365 tgl                       520 GIC     3593656 :     shortlen = Min(a->nwords, b->nwords);
 7365 tgl                       521 CBC     5080052 :     for (i = 0; i < shortlen; i++)
                                522                 :     {
 7365 tgl                       523 GIC     3593656 :         if ((a->words[i] & b->words[i]) != 0)
                                524         2107260 :             return true;
                                525                 :     }
                                526         1486396 :     return false;
                                527                 : }
 7365 tgl                       528 ECB             : 
                                529                 : /*
                                530                 :  * bms_overlap_list - does a set overlap an integer list?
                                531                 :  */
                                532                 : bool
 2204 rhodiumtoad               533 GIC         653 : bms_overlap_list(const Bitmapset *a, const List *b)
 2204 rhodiumtoad               534 ECB             : {
                                535                 :     ListCell   *lc;
                                536                 :     int         wordnum,
                                537                 :                 bitnum;
                                538                 : 
 2204 rhodiumtoad               539 GIC         653 :     if (a == NULL || b == NIL)
 2204 rhodiumtoad               540 CBC         584 :         return false;
 2204 rhodiumtoad               541 ECB             : 
 2204 rhodiumtoad               542 GIC         129 :     foreach(lc, b)
 2204 rhodiumtoad               543 ECB             :     {
 2204 rhodiumtoad               544 GIC          99 :         int         x = lfirst_int(lc);
                                545                 : 
                                546              99 :         if (x < 0)
 2204 rhodiumtoad               547 UIC           0 :             elog(ERROR, "negative bitmapset member not allowed");
 2204 rhodiumtoad               548 GIC          99 :         wordnum = WORDNUM(x);
                                549              99 :         bitnum = BITNUM(x);
 2204 rhodiumtoad               550 CBC          99 :         if (wordnum < a->nwords)
 2204 rhodiumtoad               551 GIC          99 :             if ((a->words[wordnum] & ((bitmapword) 1 << bitnum)) != 0)
                                552              39 :                 return true;
                                553                 :     }
                                554                 : 
                                555              30 :     return false;
 2204 rhodiumtoad               556 ECB             : }
                                557                 : 
                                558                 : /*
 7224 tgl                       559                 :  * bms_nonempty_difference - do sets have a nonempty difference?
                                560                 :  *
  501 drowley                   561                 :  * i.e., are any members set in 'a' that are not also set in 'b'.
                                562                 :  */
 7224 tgl                       563                 : bool
 7184 bruce                     564 GBC     1147177 : bms_nonempty_difference(const Bitmapset *a, const Bitmapset *b)
 7224 tgl                       565 ECB             : {
                                566                 :     int         shortlen;
                                567                 :     int         i;
                                568                 : 
                                569                 :     /* Handle cases where either input is NULL */
 7224 tgl                       570 GIC     1147177 :     if (a == NULL)
                                571              36 :         return false;
 7224 tgl                       572 CBC     1147141 :     if (b == NULL)
   38 tgl                       573 UNC           0 :         return true;
                                574                 :     /* Check words in common */
 7224 tgl                       575 GIC     1147141 :     shortlen = Min(a->nwords, b->nwords);
                                576         1793994 :     for (i = 0; i < shortlen; i++)
                                577                 :     {
 7188 bruce                     578         1147141 :         if ((a->words[i] & ~b->words[i]) != 0)
 7224 tgl                       579          500288 :             return true;
                                580                 :     }
 7224 tgl                       581 ECB             :     /* Check extra words in a */
 7224 tgl                       582 GIC      646853 :     for (; i < a->nwords; i++)
                                583                 :     {
 7224 tgl                       584 UIC           0 :         if (a->words[i] != 0)
                                585               0 :             return true;
                                586                 :     }
 7224 tgl                       587 CBC      646853 :     return false;
 7224 tgl                       588 ECB             : }
                                589                 : 
 7365 tgl                       590 EUB             : /*
                                591                 :  * bms_singleton_member - return the sole integer member of set
 7365 tgl                       592 ECB             :  *
                                593                 :  * Raises error if |a| is not 1.
                                594                 :  */
                                595                 : int
 7184 bruce                     596 CBC      176398 : bms_singleton_member(const Bitmapset *a)
                                597                 : {
 7188 bruce                     598 GIC      176398 :     int         result = -1;
 7188 bruce                     599 ECB             :     int         nwords;
                                600                 :     int         wordnum;
 7365 tgl                       601 EUB             : 
 7365 tgl                       602 GBC      176398 :     if (a == NULL)
 7201 tgl                       603 UIC           0 :         elog(ERROR, "bitmapset is empty");
 7365 tgl                       604 CBC      176398 :     nwords = a->nwords;
 7365 tgl                       605 GIC      352796 :     for (wordnum = 0; wordnum < nwords; wordnum++)
                                606                 :     {
                                607          176398 :         bitmapword  w = a->words[wordnum];
                                608                 : 
                                609          176398 :         if (w != 0)
                                610                 :         {
                                611          176398 :             if (result >= 0 || HAS_MULTIPLE_ONES(w))
 7201 tgl                       612 UIC           0 :                 elog(ERROR, "bitmapset has multiple members");
 7365 tgl                       613 CBC      176398 :             result = wordnum * BITS_PER_BITMAPWORD;
 1514 tgl                       614 GIC      176398 :             result += bmw_rightmost_one_pos(w);
 7365 tgl                       615 ECB             :         }
                                616                 :     }
 7365 tgl                       617 GIC      176398 :     if (result < 0)
 7201 tgl                       618 UIC           0 :         elog(ERROR, "bitmapset is empty");
 7365 tgl                       619 CBC      176398 :     return result;
 7365 tgl                       620 EUB             : }
 7365 tgl                       621 ECB             : 
 3054                           622                 : /*
                                623                 :  * bms_get_singleton_member
                                624                 :  *
                                625                 :  * Test whether the given set is a singleton.
 2062 peter_e                   626                 :  * If so, set *member to the value of its sole member, and return true.
                                627                 :  * If not, return false, without changing *member.
 3054 tgl                       628                 :  *
 3054 tgl                       629 EUB             :  * This is more convenient and faster than calling bms_membership() and then
 3054 tgl                       630 ECB             :  * bms_singleton_member(), if we don't care about distinguishing empty sets
                                631                 :  * from multiple-member sets.
                                632                 :  */
                                633                 : bool
 3054 tgl                       634 CBC      481321 : bms_get_singleton_member(const Bitmapset *a, int *member)
 3054 tgl                       635 EUB             : {
 3054 tgl                       636 CBC      481321 :     int         result = -1;
                                637                 :     int         nwords;
                                638                 :     int         wordnum;
                                639                 : 
 3054 tgl                       640 GIC      481321 :     if (a == NULL)
                                641              12 :         return false;
                                642          481309 :     nwords = a->nwords;
                                643          850023 :     for (wordnum = 0; wordnum < nwords; wordnum++)
                                644                 :     {
                                645          481309 :         bitmapword  w = a->words[wordnum];
                                646                 : 
                                647          481309 :         if (w != 0)
                                648                 :         {
                                649          481309 :             if (result >= 0 || HAS_MULTIPLE_ONES(w))
                                650          112595 :                 return false;
 3054 tgl                       651 CBC      368714 :             result = wordnum * BITS_PER_BITMAPWORD;
 1514 tgl                       652 GIC      368714 :             result += bmw_rightmost_one_pos(w);
 3054 tgl                       653 ECB             :         }
                                654                 :     }
 3054 tgl                       655 GIC      368714 :     if (result < 0)
 3054 tgl                       656 UIC           0 :         return false;
 3054 tgl                       657 CBC      368714 :     *member = result;
                                658          368714 :     return true;
 3054 tgl                       659 ECB             : }
                                660                 : 
                                661                 : /*
 7365                           662                 :  * bms_num_members - count members of set
                                663                 :  */
                                664                 : int
 7184 bruce                     665 GIC      768996 : bms_num_members(const Bitmapset *a)
 7365 tgl                       666 ECB             : {
 7188 bruce                     667 CBC      768996 :     int         result = 0;
 7188 bruce                     668 ECB             :     int         nwords;
                                669                 :     int         wordnum;
                                670                 : 
 7365 tgl                       671 GIC      768996 :     if (a == NULL)
 7365 tgl                       672 CBC       66885 :         return 0;
 7365 tgl                       673 GBC      702111 :     nwords = a->nwords;
 7365 tgl                       674 CBC     1404222 :     for (wordnum = 0; wordnum < nwords; wordnum++)
 7365 tgl                       675 ECB             :     {
 7365 tgl                       676 GIC      702111 :         bitmapword  w = a->words[wordnum];
                                677                 : 
                                678                 :         /* No need to count the bits in a zero word */
 1514                           679          702111 :         if (w != 0)
                                680          702111 :             result += bmw_popcount(w);
                                681                 :     }
 7365 tgl                       682 CBC      702111 :     return result;
                                683                 : }
 7365 tgl                       684 ECB             : 
                                685                 : /*
                                686                 :  * bms_membership - does a set have zero, one, or multiple members?
                                687                 :  *
                                688                 :  * This is faster than making an exact count with bms_num_members().
                                689                 :  */
                                690                 : BMS_Membership
 7184 bruce                     691 CBC      862657 : bms_membership(const Bitmapset *a)
                                692                 : {
 7365 tgl                       693          862657 :     BMS_Membership result = BMS_EMPTY_SET;
                                694                 :     int         nwords;
                                695                 :     int         wordnum;
 7365 tgl                       696 ECB             : 
 7365 tgl                       697 CBC      862657 :     if (a == NULL)
 7365 tgl                       698 GIC      158613 :         return BMS_EMPTY_SET;
 7365 tgl                       699 CBC      704044 :     nwords = a->nwords;
 7365 tgl                       700 GIC     1290873 :     for (wordnum = 0; wordnum < nwords; wordnum++)
                                701                 :     {
                                702          704044 :         bitmapword  w = a->words[wordnum];
                                703                 : 
                                704          704044 :         if (w != 0)
                                705                 :         {
                                706          704044 :             if (result != BMS_EMPTY_SET || HAS_MULTIPLE_ONES(w))
                                707          117215 :                 return BMS_MULTIPLE;
 7365 tgl                       708 CBC      586829 :             result = BMS_SINGLETON;
                                709                 :         }
 7365 tgl                       710 ECB             :     }
 7365 tgl                       711 GIC      586829 :     return result;
                                712                 : }
                                713                 : 
 7365 tgl                       714 ECB             : /*
                                715                 :  * bms_is_empty_internal - is a set empty?
                                716                 :  *
                                717                 :  * This is now used only locally, to detect cases where a function has
                                718                 :  * computed an empty set that we must now get rid of.  Hence, we can
                                719                 :  * assume the input isn't NULL.
                                720                 :  */
                                721                 : static bool
   38 tgl                       722 GNC     1658147 : bms_is_empty_internal(const Bitmapset *a)
 7365 tgl                       723 ECB             : {
                                724                 :     int         nwords;
 7188 bruce                     725                 :     int         wordnum;
 7365 tgl                       726                 : 
 7365 tgl                       727 GIC     1658147 :     nwords = a->nwords;
 7365 tgl                       728 CBC     2173489 :     for (wordnum = 0; wordnum < nwords; wordnum++)
                                729                 :     {
 7365 tgl                       730 GIC     1658147 :         bitmapword  w = a->words[wordnum];
                                731                 : 
                                732         1658147 :         if (w != 0)
                                733         1142805 :             return false;
                                734                 :     }
                                735          515342 :     return true;
                                736                 : }
                                737                 : 
                                738                 : 
 7365 tgl                       739 ECB             : /*
                                740                 :  * These operations all "recycle" their non-const inputs, ie, either
                                741                 :  * return the modified input or pfree it if it can't hold the result.
                                742                 :  *
                                743                 :  * These should generally be used in the style
                                744                 :  *
                                745                 :  *      foo = bms_add_member(foo, x);
                                746                 :  */
                                747                 : 
                                748                 : 
                                749                 : /*
                                750                 :  * bms_add_member - add a specified member to set
                                751                 :  *
                                752                 :  * Input set is modified or recycled!
                                753                 :  */
                                754                 : Bitmapset *
 7184 bruce                     755 GIC     7842801 : bms_add_member(Bitmapset *a, int x)
                                756                 : {
                                757                 :     int         wordnum,
                                758                 :                 bitnum;
                                759                 : 
 7365 tgl                       760         7842801 :     if (x < 0)
 7201 tgl                       761 UIC           0 :         elog(ERROR, "negative bitmapset member not allowed");
 7365 tgl                       762 GIC     7842801 :     if (a == NULL)
                                763         4593519 :         return bms_make_singleton(x);
                                764         3249282 :     wordnum = WORDNUM(x);
                                765         3249282 :     bitnum = BITNUM(x);
                                766                 : 
                                767                 :     /* enlarge the set if necessary */
                                768         3249282 :     if (wordnum >= a->nwords)
                                769                 :     {
 3478 heikki.linnakangas        770              90 :         int         oldnwords = a->nwords;
                                771                 :         int         i;
 7365 tgl                       772 ECB             : 
 3478 heikki.linnakangas        773 GIC          90 :         a = (Bitmapset *) repalloc(a, BITMAPSET_SIZE(wordnum + 1));
                                774              90 :         a->nwords = wordnum + 1;
                                775                 :         /* zero out the enlarged portion */
                                776             324 :         for (i = oldnwords; i < a->nwords; i++)
 3478 heikki.linnakangas        777 CBC         234 :             a->words[i] = 0;
 7365 tgl                       778 EUB             :     }
 3478 heikki.linnakangas        779 ECB             : 
 7365 tgl                       780 CBC     3249282 :     a->words[wordnum] |= ((bitmapword) 1 << bitnum);
                                781         3249282 :     return a;
 7365 tgl                       782 ECB             : }
                                783                 : 
                                784                 : /*
                                785                 :  * bms_del_member - remove a specified member from set
                                786                 :  *
                                787                 :  * No error if x is not currently a member of set
                                788                 :  *
                                789                 :  * Input set is modified in-place!
                                790                 :  */
                                791                 : Bitmapset *
 7184 bruce                     792 GIC      900130 : bms_del_member(Bitmapset *a, int x)
 7365 tgl                       793 ECB             : {
                                794                 :     int         wordnum,
                                795                 :                 bitnum;
                                796                 : 
 7365 tgl                       797 CBC      900130 :     if (x < 0)
 7201 tgl                       798 LBC           0 :         elog(ERROR, "negative bitmapset member not allowed");
 7365 tgl                       799 GIC      900130 :     if (a == NULL)
                                800          503157 :         return NULL;
                                801          396973 :     wordnum = WORDNUM(x);
                                802          396973 :     bitnum = BITNUM(x);
                                803          396973 :     if (wordnum < a->nwords)
 7188 bruce                     804          396973 :         a->words[wordnum] &= ~((bitmapword) 1 << bitnum);
                                805                 :     /* If we computed an empty result, we must return NULL */
   38 tgl                       806 GNC      396973 :     if (bms_is_empty_internal(a))
                                807                 :     {
                                808          178350 :         pfree(a);
                                809          178350 :         return NULL;
                                810                 :     }
 7365 tgl                       811 GIC      218623 :     return a;
                                812                 : }
                                813                 : 
                                814                 : /*
 7365 tgl                       815 ECB             :  * bms_add_members - like bms_union, but left input is recycled
                                816                 :  */
                                817                 : Bitmapset *
 7184 bruce                     818 GIC     5999328 : bms_add_members(Bitmapset *a, const Bitmapset *b)
                                819                 : {
 7365 tgl                       820 ECB             :     Bitmapset  *result;
 7365 tgl                       821 EUB             :     const Bitmapset *other;
 7365 tgl                       822 ECB             :     int         otherlen;
                                823                 :     int         i;
                                824                 : 
                                825                 :     /* Handle cases where either input is NULL */
 7365 tgl                       826 CBC     5999328 :     if (a == NULL)
                                827         3029605 :         return bms_copy(b);
 7365 tgl                       828 GIC     2969723 :     if (b == NULL)
 7365 tgl                       829 CBC     1879942 :         return a;
                                830                 :     /* Identify shorter and longer input; copy the longer one if needed */
                                831         1089781 :     if (a->nwords < b->nwords)
 7365 tgl                       832 ECB             :     {
 7365 tgl                       833 UIC           0 :         result = bms_copy(b);
 7365 tgl                       834 LBC           0 :         other = a;
                                835                 :     }
                                836                 :     else
                                837                 :     {
 7365 tgl                       838 GIC     1089781 :         result = a;
                                839         1089781 :         other = b;
                                840                 :     }
 7365 tgl                       841 ECB             :     /* And union the shorter input into the result */
 7365 tgl                       842 GIC     1089781 :     otherlen = other->nwords;
                                843         2179562 :     for (i = 0; i < otherlen; i++)
                                844         1089781 :         result->words[i] |= other->words[i];
                                845         1089781 :     if (result != a)
 7365 tgl                       846 UIC           0 :         pfree(a);
 7365 tgl                       847 GIC     1089781 :     return result;
                                848                 : }
 7365 tgl                       849 ECB             : 
 1957 rhaas                     850                 : /*
                                851                 :  * bms_add_range
                                852                 :  *      Add members in the range of 'lower' to 'upper' to the set.
                                853                 :  *
                                854                 :  * Note this could also be done by calling bms_add_member in a loop, however,
                                855                 :  * using this function will be faster when the range is large as we work at
 1956 rhaas                     856 EUB             :  * the bitmapword level rather than at bit level.
 1957                           857                 :  */
                                858                 : Bitmapset *
 1957 rhaas                     859 GIC       12683 : bms_add_range(Bitmapset *a, int lower, int upper)
                                860                 : {
 1957 rhaas                     861 ECB             :     int         lwordnum,
                                862                 :                 lbitnum,
                                863                 :                 uwordnum,
                                864                 :                 ushiftbits,
                                865                 :                 wordnum;
                                866                 : 
 1714 alvherre                  867                 :     /* do nothing if nothing is called for, without further checking */
 1714 alvherre                  868 CBC       12683 :     if (upper < lower)
 1714 alvherre                  869 GBC          12 :         return a;
 1714 alvherre                  870 ECB             : 
 1714 tgl                       871 GIC       12671 :     if (lower < 0)
 1957 rhaas                     872 UIC           0 :         elog(ERROR, "negative bitmapset member not allowed");
 1957 rhaas                     873 GIC       12671 :     uwordnum = WORDNUM(upper);
                                874                 : 
                                875           12671 :     if (a == NULL)
                                876                 :     {
                                877           12671 :         a = (Bitmapset *) palloc0(BITMAPSET_SIZE(uwordnum + 1));
  147 tgl                       878 GNC       12671 :         a->type = T_Bitmapset;
 1957 rhaas                     879 GIC       12671 :         a->nwords = uwordnum + 1;
                                880                 :     }
 1957 rhaas                     881 UIC           0 :     else if (uwordnum >= a->nwords)
                                882                 :     {
 1957 rhaas                     883 LBC           0 :         int         oldnwords = a->nwords;
                                884                 :         int         i;
                                885                 : 
                                886                 :         /* ensure we have enough words to store the upper bit */
 1957 rhaas                     887 UIC           0 :         a = (Bitmapset *) repalloc(a, BITMAPSET_SIZE(uwordnum + 1));
                                888               0 :         a->nwords = uwordnum + 1;
                                889                 :         /* zero out the enlarged portion */
                                890               0 :         for (i = oldnwords; i < a->nwords; i++)
                                891               0 :             a->words[i] = 0;
 1957 rhaas                     892 ECB             :     }
                                893                 : 
 1957 rhaas                     894 GIC       12671 :     wordnum = lwordnum = WORDNUM(lower);
 1957 rhaas                     895 ECB             : 
 1957 rhaas                     896 GBC       12671 :     lbitnum = BITNUM(lower);
 1957 rhaas                     897 CBC       12671 :     ushiftbits = BITS_PER_BITMAPWORD - (BITNUM(upper) + 1);
                                898                 : 
 1957 rhaas                     899 ECB             :     /*
                                900                 :      * Special case when lwordnum is the same as uwordnum we must perform the
                                901                 :      * upper and lower masking on the word.
                                902                 :      */
 1957 rhaas                     903 CBC       12671 :     if (lwordnum == uwordnum)
                                904                 :     {
 1957 rhaas                     905 GBC       12671 :         a->words[lwordnum] |= ~(bitmapword) (((bitmapword) 1 << lbitnum) - 1)
 1916 tgl                       906 GIC       12671 :             & (~(bitmapword) 0) >> ushiftbits;
 1957 rhaas                     907 EUB             :     }
                                908                 :     else
                                909                 :     {
                                910                 :         /* turn on lbitnum and all bits left of it */
 1957 rhaas                     911 UBC           0 :         a->words[wordnum++] |= ~(bitmapword) (((bitmapword) 1 << lbitnum) - 1);
 1957 rhaas                     912 EUB             : 
                                913                 :         /* turn on all bits for any intermediate words */
 1957 rhaas                     914 UBC           0 :         while (wordnum < uwordnum)
                                915               0 :             a->words[wordnum++] = ~(bitmapword) 0;
                                916                 : 
                                917                 :         /* turn on upper's bit and all bits right of it. */
 1957 rhaas                     918 LBC           0 :         a->words[uwordnum] |= (~(bitmapword) 0) >> ushiftbits;
                                919                 :     }
 1957 rhaas                     920 ECB             : 
 1957 rhaas                     921 CBC       12671 :     return a;
                                922                 : }
                                923                 : 
                                924                 : /*
                                925                 :  * bms_int_members - like bms_intersect, but left input is recycled
                                926                 :  */
 7365 tgl                       927 ECB             : Bitmapset *
 7184 bruce                     928 GIC      230590 : bms_int_members(Bitmapset *a, const Bitmapset *b)
 7365 tgl                       929 ECB             : {
                                930                 :     int         shortlen;
                                931                 :     int         i;
                                932                 : 
                                933                 :     /* Handle cases where either input is NULL */
 7365 tgl                       934 GIC      230590 :     if (a == NULL)
 7365 tgl                       935 GBC       10022 :         return NULL;
 7365 tgl                       936 GIC      220568 :     if (b == NULL)
                                937                 :     {
 7365 tgl                       938 GBC        1590 :         pfree(a);
                                939            1590 :         return NULL;
                                940                 :     }
                                941                 :     /* Intersect b into a; we need never copy */
                                942          218978 :     shortlen = Min(a->nwords, b->nwords);
 7365 tgl                       943 GIC      437956 :     for (i = 0; i < shortlen; i++)
                                944          218978 :         a->words[i] &= b->words[i];
 7365 tgl                       945 CBC      218978 :     for (; i < a->nwords; i++)
 7365 tgl                       946 UIC           0 :         a->words[i] = 0;
                                947                 :     /* If we computed an empty result, we must return NULL */
   38 tgl                       948 GNC      218978 :     if (bms_is_empty_internal(a))
                                949                 :     {
                                950           42801 :         pfree(a);
                                951           42801 :         return NULL;
                                952                 :     }
 7365 tgl                       953 GIC      176177 :     return a;
                                954                 : }
                                955                 : 
                                956                 : /*
                                957                 :  * bms_del_members - like bms_difference, but left input is recycled
 7365 tgl                       958 ECB             :  */
                                959                 : Bitmapset *
 7184 bruce                     960 GIC      762242 : bms_del_members(Bitmapset *a, const Bitmapset *b)
                                961                 : {
                                962                 :     int         shortlen;
                                963                 :     int         i;
 7365 tgl                       964 ECB             : 
                                965                 :     /* Handle cases where either input is NULL */
 7365 tgl                       966 CBC      762242 :     if (a == NULL)
 7365 tgl                       967 GIC      329588 :         return NULL;
 7365 tgl                       968 CBC      432654 :     if (b == NULL)
                                969           81602 :         return a;
                                970                 :     /* Remove b's bits from a; we need never copy */
 7365 tgl                       971 GIC      351052 :     shortlen = Min(a->nwords, b->nwords);
 7365 tgl                       972 CBC      702104 :     for (i = 0; i < shortlen; i++)
 7188 bruce                     973          351052 :         a->words[i] &= ~b->words[i];
                                974                 :     /* If we computed an empty result, we must return NULL */
   38 tgl                       975 GNC      351052 :     if (bms_is_empty_internal(a))
                                976                 :     {
                                977          287967 :         pfree(a);
                                978          287967 :         return NULL;
                                979                 :     }
 7365 tgl                       980 CBC       63085 :     return a;
 7365 tgl                       981 ECB             : }
 7365 tgl                       982 EUB             : 
                                983                 : /*
 7365 tgl                       984 ECB             :  * bms_join - like bms_union, but *both* inputs are recycled
                                985                 :  */
                                986                 : Bitmapset *
 7184 bruce                     987 CBC      734035 : bms_join(Bitmapset *a, Bitmapset *b)
                                988                 : {
 7365 tgl                       989 ECB             :     Bitmapset  *result;
                                990                 :     Bitmapset  *other;
                                991                 :     int         otherlen;
                                992                 :     int         i;
                                993                 : 
                                994                 :     /* Handle cases where either input is NULL */
 7365 tgl                       995 GIC      734035 :     if (a == NULL)
 7365 tgl                       996 CBC      417262 :         return b;
 7365 tgl                       997 GIC      316773 :     if (b == NULL)
                                998           62999 :         return a;
                                999                 :     /* Identify shorter and longer input; use longer one as result */
                               1000          253774 :     if (a->nwords < b->nwords)
                               1001                 :     {
 7365 tgl                      1002 LBC           0 :         result = b;
                               1003               0 :         other = a;
 7365 tgl                      1004 ECB             :     }
                               1005                 :     else
                               1006                 :     {
 7365 tgl                      1007 CBC      253774 :         result = a;
                               1008          253774 :         other = b;
 7365 tgl                      1009 ECB             :     }
                               1010                 :     /* And union the shorter input into the result */
 7365 tgl                      1011 CBC      253774 :     otherlen = other->nwords;
 7365 tgl                      1012 GIC      507548 :     for (i = 0; i < otherlen; i++)
 7365 tgl                      1013 CBC      253774 :         result->words[i] |= other->words[i];
                               1014          253774 :     if (other != result)        /* pure paranoia */
 7365 tgl                      1015 GIC      253774 :         pfree(other);
 7365 tgl                      1016 CBC      253774 :     return result;
                               1017                 : }
                               1018                 : 
                               1019                 : /*
                               1020                 :  * bms_next_member - find next member of a set
                               1021                 :  *
                               1022                 :  * Returns smallest member greater than "prevbit", or -2 if there is none.
                               1023                 :  * "prevbit" must NOT be less than -1, or the behavior is unpredictable.
                               1024                 :  *
                               1025                 :  * This is intended as support for iterating through the members of a set.
                               1026                 :  * The typical pattern is
                               1027                 :  *
                               1028                 :  *          x = -1;
                               1029                 :  *          while ((x = bms_next_member(inputset, x)) >= 0)
                               1030                 :  *              process member x;
                               1031                 :  *
                               1032                 :  * Notice that when there are no more members, we return -2, not -1 as you
 3054 tgl                      1033 ECB             :  * might expect.  The rationale for that is to allow distinguishing the
                               1034                 :  * loop-not-started state (x == -1) from the loop-completed state (x == -2).
                               1035                 :  * It makes no difference in simple loop usage, but complex iteration logic
                               1036                 :  * might need such an ability.
                               1037                 :  */
                               1038                 : int
 3054 tgl                      1039 CBC    11462578 : bms_next_member(const Bitmapset *a, int prevbit)
 3054 tgl                      1040 ECB             : {
                               1041                 :     int         nwords;
                               1042                 :     int         wordnum;
                               1043                 :     bitmapword  mask;
                               1044                 : 
 3054 tgl                      1045 GIC    11462578 :     if (a == NULL)
 3054 tgl                      1046 CBC     3503794 :         return -2;
 3054 tgl                      1047 GIC     7958784 :     nwords = a->nwords;
                               1048         7958784 :     prevbit++;
 3054 tgl                      1049 CBC     7958784 :     mask = (~(bitmapword) 0) << BITNUM(prevbit);
 3054 tgl                      1050 GIC    10441612 :     for (wordnum = WORDNUM(prevbit); wordnum < nwords; wordnum++)
 3054 tgl                      1051 ECB             :     {
 3054 tgl                      1052 GIC     7958784 :         bitmapword  w = a->words[wordnum];
                               1053                 : 
                               1054                 :         /* ignore bits before prevbit */
 3054 tgl                      1055 CBC     7958784 :         w &= mask;
 3054 tgl                      1056 ECB             : 
 3054 tgl                      1057 CBC     7958784 :         if (w != 0)
                               1058                 :         {
                               1059                 :             int         result;
                               1060                 : 
                               1061         5475956 :             result = wordnum * BITS_PER_BITMAPWORD;
 1514 tgl                      1062 GIC     5475956 :             result += bmw_rightmost_one_pos(w);
 3054 tgl                      1063 CBC     5475956 :             return result;
                               1064                 :         }
                               1065                 : 
                               1066                 :         /* in subsequent words, consider all bits */
 3054 tgl                      1067 GIC     2482828 :         mask = (~(bitmapword) 0);
                               1068                 :     }
                               1069         2482828 :     return -2;
                               1070                 : }
                               1071                 : 
                               1072                 : /*
                               1073                 :  * bms_prev_member - find prev member of a set
                               1074                 :  *
                               1075                 :  * Returns largest member less than "prevbit", or -2 if there is none.
                               1076                 :  * "prevbit" must NOT be more than one above the highest possible bit that can
                               1077                 :  * be set at the Bitmapset at its current size.
                               1078                 :  *
                               1079                 :  * To ease finding the highest set bit for the initial loop, the special
                               1080                 :  * prevbit value of -1 can be passed to have the function find the highest
                               1081                 :  * valued member in the set.
                               1082                 :  *
                               1083                 :  * This is intended as support for iterating through the members of a set in
                               1084                 :  * reverse.  The typical pattern is
                               1085                 :  *
                               1086                 :  *          x = -1;
                               1087                 :  *          while ((x = bms_prev_member(inputset, x)) >= 0)
                               1088                 :  *              process member x;
                               1089                 :  *
                               1090                 :  * Notice that when there are no more members, we return -2, not -1 as you
                               1091                 :  * might expect.  The rationale for that is to allow distinguishing the
 1828 alvherre                 1092 ECB             :  * loop-not-started state (x == -1) from the loop-completed state (x == -2).
                               1093                 :  * It makes no difference in simple loop usage, but complex iteration logic
                               1094                 :  * might need such an ability.
                               1095                 :  */
                               1096                 : 
                               1097                 : int
 1828 alvherre                 1098 GIC           9 : bms_prev_member(const Bitmapset *a, int prevbit)
                               1099                 : {
                               1100                 :     int         wordnum;
                               1101                 :     int         ushiftbits;
 1828 alvherre                 1102 ECB             :     bitmapword  mask;
 1828 alvherre                 1103 EUB             : 
                               1104                 :     /*
                               1105                 :      * If set is NULL or if there are no more bits to the right then we've
 1828 alvherre                 1106 ECB             :      * nothing to do.
 1828 alvherre                 1107 EUB             :      */
 1828 alvherre                 1108 GIC           9 :     if (a == NULL || prevbit == 0)
 1828 alvherre                 1109 LBC           0 :         return -2;
                               1110                 : 
 1828 alvherre                 1111 ECB             :     /* transform -1 to the highest possible bit we could have set */
 1828 alvherre                 1112 CBC           9 :     if (prevbit == -1)
 1828 alvherre                 1113 LBC           0 :         prevbit = a->nwords * BITS_PER_BITMAPWORD - 1;
                               1114                 :     else
 1828 alvherre                 1115 CBC           9 :         prevbit--;
                               1116                 : 
 1828 alvherre                 1117 GIC           9 :     ushiftbits = BITS_PER_BITMAPWORD - (BITNUM(prevbit) + 1);
 1828 alvherre                 1118 CBC           9 :     mask = (~(bitmapword) 0) >> ushiftbits;
 1828 alvherre                 1119 GIC          12 :     for (wordnum = WORDNUM(prevbit); wordnum >= 0; wordnum--)
 1828 alvherre                 1120 ECB             :     {
 1828 alvherre                 1121 GIC           9 :         bitmapword  w = a->words[wordnum];
                               1122                 : 
                               1123                 :         /* mask out bits left of prevbit */
 1828 alvherre                 1124 CBC           9 :         w &= mask;
 1828 alvherre                 1125 ECB             : 
 1828 alvherre                 1126 CBC           9 :         if (w != 0)
                               1127                 :         {
                               1128                 :             int         result;
                               1129                 : 
                               1130               6 :             result = wordnum * BITS_PER_BITMAPWORD;
 1514 tgl                      1131 GIC           6 :             result += bmw_leftmost_one_pos(w);
 1828 alvherre                 1132 CBC           6 :             return result;
                               1133                 :         }
                               1134                 : 
                               1135                 :         /* in subsequent words, consider all bits */
 1828 alvherre                 1136 GIC           3 :         mask = (~(bitmapword) 0);
                               1137                 :     }
                               1138               3 :     return -2;
                               1139                 : }
                               1140                 : 
                               1141                 : /*
                               1142                 :  * bms_hash_value - compute a hash key for a Bitmapset
                               1143                 :  *
 6514 tgl                      1144 ECB             :  * Note: we must ensure that any two bitmapsets that are bms_equal() will
                               1145                 :  * hash to the same value; in practice this means that trailing all-zero
                               1146                 :  * words must not affect the result.  Hence we strip those before applying
                               1147                 :  * hash_any().
                               1148                 :  */
 6514 tgl                      1149 EUB             : uint32
 6514 tgl                      1150 CBC        2649 : bms_hash_value(const Bitmapset *a)
                               1151                 : {
 5791 tgl                      1152 ECB             :     int         lastword;
 6514                          1153                 : 
 5791 tgl                      1154 GIC        2649 :     if (a == NULL)
 6514 tgl                      1155 LBC           0 :         return 0;               /* All empty sets hash to 0 */
 5791 tgl                      1156 GBC        2649 :     for (lastword = a->nwords; --lastword >= 0;)
 6514 tgl                      1157 ECB             :     {
 5791 tgl                      1158 CBC        2649 :         if (a->words[lastword] != 0)
 5791 tgl                      1159 GIC        2649 :             break;
                               1160                 :     }
                               1161            2649 :     if (lastword < 0)
 5791 tgl                      1162 UIC           0 :         return 0;               /* All empty sets hash to 0 */
 5791 tgl                      1163 GIC        2649 :     return DatumGetUInt32(hash_any((const unsigned char *) a->words,
                               1164            2649 :                                    (lastword + 1) * sizeof(bitmapword)));
                               1165                 : }
                               1166                 : 
 1140 rhaas                    1167 ECB             : /*
                               1168                 :  * bitmap_hash - hash function for keys that are (pointers to) Bitmapsets
                               1169                 :  *
                               1170                 :  * Note: don't forget to specify bitmap_match as the match function!
                               1171                 :  */
                               1172                 : uint32
 1140 rhaas                    1173 GIC        2649 : bitmap_hash(const void *key, Size keysize)
                               1174                 : {
                               1175            2649 :     Assert(keysize == sizeof(Bitmapset *));
                               1176            2649 :     return bms_hash_value(*((const Bitmapset *const *) key));
 1140 rhaas                    1177 ECB             : }
                               1178                 : 
                               1179                 : /*
                               1180                 :  * bitmap_match - match function to use with bitmap_hash
                               1181                 :  */
                               1182                 : int
 1140 rhaas                    1183 GIC        1602 : bitmap_match(const void *key1, const void *key2, Size keysize)
                               1184                 : {
                               1185            1602 :     Assert(keysize == sizeof(Bitmapset *));
                               1186            1602 :     return !bms_equal(*((const Bitmapset *const *) key1),
                               1187                 :                       *((const Bitmapset *const *) key2));
                               1188                 : }
        

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