LCOV - code coverage report
Current view: top level - src/backend/utils/adt - multirangetypes.c (source / functions) Hit Total Coverage
Test: PostgreSQL 19devel Lines: 940 1007 93.3 %
Date: 2025-12-02 16:17:27 Functions: 91 93 97.8 %
Legend: Lines: hit not hit

          Line data    Source code
       1             : /*-------------------------------------------------------------------------
       2             :  *
       3             :  * multirangetypes.c
       4             :  *    I/O functions, operators, and support functions for multirange types.
       5             :  *
       6             :  * The stored (serialized) format of a multirange value is:
       7             :  *
       8             :  *  12 bytes: MultirangeType struct including varlena header, multirange
       9             :  *            type's OID and the number of ranges in the multirange.
      10             :  *  4 * (rangesCount - 1) bytes: 32-bit items pointing to the each range
      11             :  *                               in the multirange starting from
      12             :  *                               the second one.
      13             :  *  1 * rangesCount bytes : 8-bit flags for each range in the multirange
      14             :  *  The rest of the multirange are range bound values pointed by multirange
      15             :  *  items.
      16             :  *
      17             :  *  Majority of items contain lengths of corresponding range bound values.
      18             :  *  Thanks to that items are typically low numbers.  This makes multiranges
      19             :  *  compression-friendly.  Every MULTIRANGE_ITEM_OFFSET_STRIDE item contains
      20             :  *  an offset of the corresponding range bound values.  That allows fast lookups
      21             :  *  for a particular range index.  Offsets are counted starting from the end of
      22             :  *  flags aligned to the bound type.
      23             :  *
      24             :  * Portions Copyright (c) 1996-2025, PostgreSQL Global Development Group
      25             :  * Portions Copyright (c) 1994, Regents of the University of California
      26             :  *
      27             :  *
      28             :  * IDENTIFICATION
      29             :  *    src/backend/utils/adt/multirangetypes.c
      30             :  *
      31             :  *-------------------------------------------------------------------------
      32             :  */
      33             : #include "postgres.h"
      34             : 
      35             : #include "access/tupmacs.h"
      36             : #include "common/hashfn.h"
      37             : #include "funcapi.h"
      38             : #include "lib/stringinfo.h"
      39             : #include "libpq/pqformat.h"
      40             : #include "nodes/nodes.h"
      41             : #include "port/pg_bitutils.h"
      42             : #include "utils/array.h"
      43             : #include "utils/builtins.h"
      44             : #include "utils/lsyscache.h"
      45             : #include "utils/multirangetypes.h"
      46             : #include "utils/rangetypes.h"
      47             : 
      48             : /* fn_extra cache entry for one of the range I/O functions */
      49             : typedef struct MultirangeIOData
      50             : {
      51             :     TypeCacheEntry *typcache;   /* multirange type's typcache entry */
      52             :     FmgrInfo    typioproc;      /* range type's I/O proc */
      53             :     Oid         typioparam;     /* range type's I/O parameter */
      54             : } MultirangeIOData;
      55             : 
      56             : typedef enum
      57             : {
      58             :     MULTIRANGE_BEFORE_RANGE,
      59             :     MULTIRANGE_IN_RANGE,
      60             :     MULTIRANGE_IN_RANGE_ESCAPED,
      61             :     MULTIRANGE_IN_RANGE_QUOTED,
      62             :     MULTIRANGE_IN_RANGE_QUOTED_ESCAPED,
      63             :     MULTIRANGE_AFTER_RANGE,
      64             :     MULTIRANGE_FINISHED,
      65             : } MultirangeParseState;
      66             : 
      67             : /*
      68             :  * Macros for accessing past MultirangeType parts of multirange: items, flags
      69             :  * and boundaries.
      70             :  */
      71             : #define MultirangeGetItemsPtr(mr) ((uint32 *) ((Pointer) (mr) + \
      72             :     sizeof(MultirangeType)))
      73             : #define MultirangeGetFlagsPtr(mr) ((uint8 *) ((Pointer) (mr) + \
      74             :     sizeof(MultirangeType) + ((mr)->rangeCount - 1) * sizeof(uint32)))
      75             : #define MultirangeGetBoundariesPtr(mr, align) ((Pointer) (mr) + \
      76             :     att_align_nominal(sizeof(MultirangeType) + \
      77             :         ((mr)->rangeCount - 1) * sizeof(uint32) + \
      78             :         (mr)->rangeCount * sizeof(uint8), (align)))
      79             : 
      80             : #define MULTIRANGE_ITEM_OFF_BIT 0x80000000
      81             : #define MULTIRANGE_ITEM_GET_OFFLEN(item) ((item) & 0x7FFFFFFF)
      82             : #define MULTIRANGE_ITEM_HAS_OFF(item) ((item) & MULTIRANGE_ITEM_OFF_BIT)
      83             : #define MULTIRANGE_ITEM_OFFSET_STRIDE 4
      84             : 
      85             : typedef int (*multirange_bsearch_comparison) (TypeCacheEntry *typcache,
      86             :                                               RangeBound *lower,
      87             :                                               RangeBound *upper,
      88             :                                               void *key,
      89             :                                               bool *match);
      90             : 
      91             : static MultirangeIOData *get_multirange_io_data(FunctionCallInfo fcinfo,
      92             :                                                 Oid mltrngtypid,
      93             :                                                 IOFuncSelector func);
      94             : static int32 multirange_canonicalize(TypeCacheEntry *rangetyp,
      95             :                                      int32 input_range_count,
      96             :                                      RangeType **ranges);
      97             : 
      98             : /*
      99             :  *----------------------------------------------------------
     100             :  * I/O FUNCTIONS
     101             :  *----------------------------------------------------------
     102             :  */
     103             : 
     104             : /*
     105             :  * Converts string to multirange.
     106             :  *
     107             :  * We expect curly brackets to bound the list, with zero or more ranges
     108             :  * separated by commas.  We accept whitespace anywhere: before/after our
     109             :  * brackets and around the commas.  Ranges can be the empty literal or some
     110             :  * stuff inside parens/brackets.  Mostly we delegate parsing the individual
     111             :  * range contents to range_in, but we have to detect quoting and
     112             :  * backslash-escaping which can happen for range bounds.  Backslashes can
     113             :  * escape something inside or outside a quoted string, and a quoted string
     114             :  * can escape quote marks with either backslashes or double double-quotes.
     115             :  */
     116             : Datum
     117        1380 : multirange_in(PG_FUNCTION_ARGS)
     118             : {
     119        1380 :     char       *input_str = PG_GETARG_CSTRING(0);
     120        1380 :     Oid         mltrngtypoid = PG_GETARG_OID(1);
     121        1380 :     Oid         typmod = PG_GETARG_INT32(2);
     122        1380 :     Node       *escontext = fcinfo->context;
     123             :     TypeCacheEntry *rangetyp;
     124        1380 :     int32       ranges_seen = 0;
     125        1380 :     int32       range_count = 0;
     126        1380 :     int32       range_capacity = 8;
     127             :     RangeType  *range;
     128        1380 :     RangeType **ranges = palloc(range_capacity * sizeof(RangeType *));
     129             :     MultirangeIOData *cache;
     130             :     MultirangeType *ret;
     131             :     MultirangeParseState parse_state;
     132        1380 :     const char *ptr = input_str;
     133        1380 :     const char *range_str_begin = NULL;
     134             :     int32       range_str_len;
     135             :     char       *range_str;
     136             :     Datum       range_datum;
     137             : 
     138        1380 :     cache = get_multirange_io_data(fcinfo, mltrngtypoid, IOFunc_input);
     139        1380 :     rangetyp = cache->typcache->rngtype;
     140             : 
     141             :     /* consume whitespace */
     142        1404 :     while (*ptr != '\0' && isspace((unsigned char) *ptr))
     143          24 :         ptr++;
     144             : 
     145        1380 :     if (*ptr == '{')
     146        1374 :         ptr++;
     147             :     else
     148           6 :         ereturn(escontext, (Datum) 0,
     149             :                 (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     150             :                  errmsg("malformed multirange literal: \"%s\"",
     151             :                         input_str),
     152             :                  errdetail("Missing left brace.")));
     153             : 
     154             :     /* consume ranges */
     155        1374 :     parse_state = MULTIRANGE_BEFORE_RANGE;
     156       13764 :     for (; parse_state != MULTIRANGE_FINISHED; ptr++)
     157             :     {
     158       12486 :         char        ch = *ptr;
     159             : 
     160       12486 :         if (ch == '\0')
     161          18 :             ereturn(escontext, (Datum) 0,
     162             :                     (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     163             :                      errmsg("malformed multirange literal: \"%s\"",
     164             :                             input_str),
     165             :                      errdetail("Unexpected end of input.")));
     166             : 
     167             :         /* skip whitespace */
     168       12468 :         if (isspace((unsigned char) ch))
     169         576 :             continue;
     170             : 
     171       11892 :         switch (parse_state)
     172             :         {
     173        1854 :             case MULTIRANGE_BEFORE_RANGE:
     174        1854 :                 if (ch == '[' || ch == '(')
     175             :                 {
     176        1524 :                     range_str_begin = ptr;
     177        1524 :                     parse_state = MULTIRANGE_IN_RANGE;
     178             :                 }
     179         330 :                 else if (ch == '}' && ranges_seen == 0)
     180         288 :                     parse_state = MULTIRANGE_FINISHED;
     181          42 :                 else if (pg_strncasecmp(ptr, RANGE_EMPTY_LITERAL,
     182             :                                         strlen(RANGE_EMPTY_LITERAL)) == 0)
     183             :                 {
     184          18 :                     ranges_seen++;
     185             :                     /* nothing to do with an empty range */
     186          18 :                     ptr += strlen(RANGE_EMPTY_LITERAL) - 1;
     187          18 :                     parse_state = MULTIRANGE_AFTER_RANGE;
     188             :                 }
     189             :                 else
     190          24 :                     ereturn(escontext, (Datum) 0,
     191             :                             (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     192             :                              errmsg("malformed multirange literal: \"%s\"",
     193             :                                     input_str),
     194             :                              errdetail("Expected range start.")));
     195        1830 :                 break;
     196        8370 :             case MULTIRANGE_IN_RANGE:
     197        8370 :                 if (ch == ']' || ch == ')')
     198             :                 {
     199        1518 :                     range_str_len = ptr - range_str_begin + 1;
     200        1518 :                     range_str = pnstrdup(range_str_begin, range_str_len);
     201        1518 :                     if (range_capacity == range_count)
     202             :                     {
     203           0 :                         range_capacity *= 2;
     204             :                         ranges = (RangeType **)
     205           0 :                             repalloc(ranges, range_capacity * sizeof(RangeType *));
     206             :                     }
     207        1518 :                     ranges_seen++;
     208        1518 :                     if (!InputFunctionCallSafe(&cache->typioproc,
     209             :                                                range_str,
     210             :                                                cache->typioparam,
     211             :                                                typmod,
     212             :                                                escontext,
     213             :                                                &range_datum))
     214          12 :                         PG_RETURN_NULL();
     215        1482 :                     range = DatumGetRangeTypeP(range_datum);
     216        1482 :                     if (!RangeIsEmpty(range))
     217        1452 :                         ranges[range_count++] = range;
     218        1482 :                     parse_state = MULTIRANGE_AFTER_RANGE;
     219             :                 }
     220             :                 else
     221             :                 {
     222        6852 :                     if (ch == '"')
     223          78 :                         parse_state = MULTIRANGE_IN_RANGE_QUOTED;
     224        6774 :                     else if (ch == '\\')
     225           6 :                         parse_state = MULTIRANGE_IN_RANGE_ESCAPED;
     226             : 
     227             :                     /*
     228             :                      * We will include this character into range_str once we
     229             :                      * find the end of the range value.
     230             :                      */
     231             :                 }
     232        8334 :                 break;
     233           6 :             case MULTIRANGE_IN_RANGE_ESCAPED:
     234             : 
     235             :                 /*
     236             :                  * We will include this character into range_str once we find
     237             :                  * the end of the range value.
     238             :                  */
     239           6 :                 parse_state = MULTIRANGE_IN_RANGE;
     240           6 :                 break;
     241         156 :             case MULTIRANGE_IN_RANGE_QUOTED:
     242         156 :                 if (ch == '"')
     243          78 :                     if (*(ptr + 1) == '"')
     244             :                     {
     245             :                         /* two quote marks means an escaped quote mark */
     246           6 :                         ptr++;
     247             :                     }
     248             :                     else
     249          72 :                         parse_state = MULTIRANGE_IN_RANGE;
     250          78 :                 else if (ch == '\\')
     251          18 :                     parse_state = MULTIRANGE_IN_RANGE_QUOTED_ESCAPED;
     252             : 
     253             :                 /*
     254             :                  * We will include this character into range_str once we find
     255             :                  * the end of the range value.
     256             :                  */
     257         156 :                 break;
     258        1488 :             case MULTIRANGE_AFTER_RANGE:
     259        1488 :                 if (ch == ',')
     260         480 :                     parse_state = MULTIRANGE_BEFORE_RANGE;
     261        1008 :                 else if (ch == '}')
     262         990 :                     parse_state = MULTIRANGE_FINISHED;
     263             :                 else
     264          18 :                     ereturn(escontext, (Datum) 0,
     265             :                             (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     266             :                              errmsg("malformed multirange literal: \"%s\"",
     267             :                                     input_str),
     268             :                              errdetail("Expected comma or end of multirange.")));
     269        1470 :                 break;
     270          18 :             case MULTIRANGE_IN_RANGE_QUOTED_ESCAPED:
     271             : 
     272             :                 /*
     273             :                  * We will include this character into range_str once we find
     274             :                  * the end of the range value.
     275             :                  */
     276          18 :                 parse_state = MULTIRANGE_IN_RANGE_QUOTED;
     277          18 :                 break;
     278           0 :             default:
     279           0 :                 elog(ERROR, "unknown parse state: %d", parse_state);
     280             :         }
     281             :     }
     282             : 
     283             :     /* consume whitespace */
     284        1302 :     while (*ptr != '\0' && isspace((unsigned char) *ptr))
     285          24 :         ptr++;
     286             : 
     287        1278 :     if (*ptr != '\0')
     288           6 :         ereturn(escontext, (Datum) 0,
     289             :                 (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     290             :                  errmsg("malformed multirange literal: \"%s\"",
     291             :                         input_str),
     292             :                  errdetail("Junk after closing right brace.")));
     293             : 
     294        1272 :     ret = make_multirange(mltrngtypoid, rangetyp, range_count, ranges);
     295        1272 :     PG_RETURN_MULTIRANGE_P(ret);
     296             : }
     297             : 
     298             : Datum
     299        2756 : multirange_out(PG_FUNCTION_ARGS)
     300             : {
     301        2756 :     MultirangeType *multirange = PG_GETARG_MULTIRANGE_P(0);
     302        2756 :     Oid         mltrngtypoid = MultirangeTypeGetOid(multirange);
     303             :     MultirangeIOData *cache;
     304             :     StringInfoData buf;
     305             :     RangeType  *range;
     306             :     char       *rangeStr;
     307             :     int32       range_count;
     308             :     int32       i;
     309             :     RangeType **ranges;
     310             : 
     311        2756 :     cache = get_multirange_io_data(fcinfo, mltrngtypoid, IOFunc_output);
     312             : 
     313        2756 :     initStringInfo(&buf);
     314             : 
     315        2756 :     appendStringInfoChar(&buf, '{');
     316             : 
     317        2756 :     multirange_deserialize(cache->typcache->rngtype, multirange, &range_count, &ranges);
     318        5316 :     for (i = 0; i < range_count; i++)
     319             :     {
     320        2560 :         if (i > 0)
     321         314 :             appendStringInfoChar(&buf, ',');
     322        2560 :         range = ranges[i];
     323        2560 :         rangeStr = OutputFunctionCall(&cache->typioproc, RangeTypePGetDatum(range));
     324        2560 :         appendStringInfoString(&buf, rangeStr);
     325             :     }
     326             : 
     327        2756 :     appendStringInfoChar(&buf, '}');
     328             : 
     329        2756 :     PG_RETURN_CSTRING(buf.data);
     330             : }
     331             : 
     332             : /*
     333             :  * Binary representation: First an int32-sized count of ranges, followed by
     334             :  * ranges in their native binary representation.
     335             :  */
     336             : Datum
     337           0 : multirange_recv(PG_FUNCTION_ARGS)
     338             : {
     339           0 :     StringInfo  buf = (StringInfo) PG_GETARG_POINTER(0);
     340           0 :     Oid         mltrngtypoid = PG_GETARG_OID(1);
     341           0 :     int32       typmod = PG_GETARG_INT32(2);
     342             :     MultirangeIOData *cache;
     343             :     uint32      range_count;
     344             :     RangeType **ranges;
     345             :     MultirangeType *ret;
     346             :     StringInfoData tmpbuf;
     347             : 
     348           0 :     cache = get_multirange_io_data(fcinfo, mltrngtypoid, IOFunc_receive);
     349             : 
     350           0 :     range_count = pq_getmsgint(buf, 4);
     351           0 :     ranges = palloc(range_count * sizeof(RangeType *));
     352             : 
     353           0 :     initStringInfo(&tmpbuf);
     354           0 :     for (int i = 0; i < range_count; i++)
     355             :     {
     356           0 :         uint32      range_len = pq_getmsgint(buf, 4);
     357           0 :         const char *range_data = pq_getmsgbytes(buf, range_len);
     358             : 
     359           0 :         resetStringInfo(&tmpbuf);
     360           0 :         appendBinaryStringInfo(&tmpbuf, range_data, range_len);
     361             : 
     362           0 :         ranges[i] = DatumGetRangeTypeP(ReceiveFunctionCall(&cache->typioproc,
     363             :                                                            &tmpbuf,
     364             :                                                            cache->typioparam,
     365             :                                                            typmod));
     366             :     }
     367           0 :     pfree(tmpbuf.data);
     368             : 
     369           0 :     pq_getmsgend(buf);
     370             : 
     371           0 :     ret = make_multirange(mltrngtypoid, cache->typcache->rngtype,
     372             :                           range_count, ranges);
     373           0 :     PG_RETURN_MULTIRANGE_P(ret);
     374             : }
     375             : 
     376             : Datum
     377           0 : multirange_send(PG_FUNCTION_ARGS)
     378             : {
     379           0 :     MultirangeType *multirange = PG_GETARG_MULTIRANGE_P(0);
     380           0 :     Oid         mltrngtypoid = MultirangeTypeGetOid(multirange);
     381             :     StringInfoData buf;
     382             :     RangeType **ranges;
     383             :     int32       range_count;
     384             :     MultirangeIOData *cache;
     385             : 
     386           0 :     initStringInfo(&buf);
     387           0 :     cache = get_multirange_io_data(fcinfo, mltrngtypoid, IOFunc_send);
     388             : 
     389             :     /* construct output */
     390           0 :     pq_begintypsend(&buf);
     391             : 
     392           0 :     pq_sendint32(&buf, multirange->rangeCount);
     393             : 
     394           0 :     multirange_deserialize(cache->typcache->rngtype, multirange, &range_count, &ranges);
     395           0 :     for (int i = 0; i < range_count; i++)
     396             :     {
     397             :         Datum       range;
     398             :         bytea      *outputbytes;
     399             : 
     400           0 :         range = RangeTypePGetDatum(ranges[i]);
     401           0 :         outputbytes = SendFunctionCall(&cache->typioproc, range);
     402             : 
     403           0 :         pq_sendint32(&buf, VARSIZE(outputbytes) - VARHDRSZ);
     404           0 :         pq_sendbytes(&buf, VARDATA(outputbytes), VARSIZE(outputbytes) - VARHDRSZ);
     405             :     }
     406             : 
     407           0 :     PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
     408             : }
     409             : 
     410             : /*
     411             :  * get_multirange_io_data: get cached information needed for multirange type I/O
     412             :  *
     413             :  * The multirange I/O functions need a bit more cached info than other multirange
     414             :  * functions, so they store a MultirangeIOData struct in fn_extra, not just a
     415             :  * pointer to a type cache entry.
     416             :  */
     417             : static MultirangeIOData *
     418        4136 : get_multirange_io_data(FunctionCallInfo fcinfo, Oid mltrngtypid, IOFuncSelector func)
     419             : {
     420        4136 :     MultirangeIOData *cache = (MultirangeIOData *) fcinfo->flinfo->fn_extra;
     421             : 
     422        4136 :     if (cache == NULL || cache->typcache->type_id != mltrngtypid)
     423             :     {
     424             :         Oid         typiofunc;
     425             :         int16       typlen;
     426             :         bool        typbyval;
     427             :         char        typalign;
     428             :         char        typdelim;
     429             : 
     430        2838 :         cache = (MultirangeIOData *) MemoryContextAlloc(fcinfo->flinfo->fn_mcxt,
     431             :                                                         sizeof(MultirangeIOData));
     432        2838 :         cache->typcache = lookup_type_cache(mltrngtypid, TYPECACHE_MULTIRANGE_INFO);
     433        2838 :         if (cache->typcache->rngtype == NULL)
     434           0 :             elog(ERROR, "type %u is not a multirange type", mltrngtypid);
     435             : 
     436             :         /* get_type_io_data does more than we need, but is convenient */
     437        2838 :         get_type_io_data(cache->typcache->rngtype->type_id,
     438             :                          func,
     439             :                          &typlen,
     440             :                          &typbyval,
     441             :                          &typalign,
     442             :                          &typdelim,
     443             :                          &cache->typioparam,
     444             :                          &typiofunc);
     445             : 
     446        2838 :         if (!OidIsValid(typiofunc))
     447             :         {
     448             :             /* this could only happen for receive or send */
     449           0 :             if (func == IOFunc_receive)
     450           0 :                 ereport(ERROR,
     451             :                         (errcode(ERRCODE_UNDEFINED_FUNCTION),
     452             :                          errmsg("no binary input function available for type %s",
     453             :                                 format_type_be(cache->typcache->rngtype->type_id))));
     454             :             else
     455           0 :                 ereport(ERROR,
     456             :                         (errcode(ERRCODE_UNDEFINED_FUNCTION),
     457             :                          errmsg("no binary output function available for type %s",
     458             :                                 format_type_be(cache->typcache->rngtype->type_id))));
     459             :         }
     460        2838 :         fmgr_info_cxt(typiofunc, &cache->typioproc,
     461        2838 :                       fcinfo->flinfo->fn_mcxt);
     462             : 
     463        2838 :         fcinfo->flinfo->fn_extra = cache;
     464             :     }
     465             : 
     466        4136 :     return cache;
     467             : }
     468             : 
     469             : /*
     470             :  * Converts a list of arbitrary ranges into a list that is sorted and merged.
     471             :  * Changes the contents of `ranges`.
     472             :  *
     473             :  * Returns the number of slots actually used, which may be less than
     474             :  * input_range_count but never more.
     475             :  *
     476             :  * We assume that no input ranges are null, but empties are okay.
     477             :  */
     478             : static int32
     479       25340 : multirange_canonicalize(TypeCacheEntry *rangetyp, int32 input_range_count,
     480             :                         RangeType **ranges)
     481             : {
     482       25340 :     RangeType  *lastRange = NULL;
     483             :     RangeType  *currentRange;
     484             :     int32       i;
     485       25340 :     int32       output_range_count = 0;
     486             : 
     487             :     /* Sort the ranges so we can find the ones that overlap/meet. */
     488       25340 :     qsort_arg(ranges, input_range_count, sizeof(RangeType *), range_compare,
     489             :               rangetyp);
     490             : 
     491             :     /* Now merge where possible: */
     492       76722 :     for (i = 0; i < input_range_count; i++)
     493             :     {
     494       51382 :         currentRange = ranges[i];
     495       51382 :         if (RangeIsEmpty(currentRange))
     496         222 :             continue;
     497             : 
     498       51160 :         if (lastRange == NULL)
     499             :         {
     500       24362 :             ranges[output_range_count++] = lastRange = currentRange;
     501       24362 :             continue;
     502             :         }
     503             : 
     504             :         /*
     505             :          * range_adjacent_internal gives true if *either* A meets B or B meets
     506             :          * A, which is not quite want we want, but we rely on the sorting
     507             :          * above to rule out B meets A ever happening.
     508             :          */
     509       26798 :         if (range_adjacent_internal(rangetyp, lastRange, currentRange))
     510             :         {
     511             :             /* The two ranges touch (without overlap), so merge them: */
     512        1406 :             ranges[output_range_count - 1] = lastRange =
     513        1406 :                 range_union_internal(rangetyp, lastRange, currentRange, false);
     514             :         }
     515       25392 :         else if (range_before_internal(rangetyp, lastRange, currentRange))
     516             :         {
     517             :             /* There's a gap, so make a new entry: */
     518       25272 :             lastRange = ranges[output_range_count] = currentRange;
     519       25272 :             output_range_count++;
     520             :         }
     521             :         else
     522             :         {
     523             :             /* They must overlap, so merge them: */
     524         120 :             ranges[output_range_count - 1] = lastRange =
     525         120 :                 range_union_internal(rangetyp, lastRange, currentRange, true);
     526             :         }
     527             :     }
     528             : 
     529       25340 :     return output_range_count;
     530             : }
     531             : 
     532             : /*
     533             :  *----------------------------------------------------------
     534             :  * SUPPORT FUNCTIONS
     535             :  *
     536             :  *   These functions aren't in pg_proc, but are useful for
     537             :  *   defining new generic multirange functions in C.
     538             :  *----------------------------------------------------------
     539             :  */
     540             : 
     541             : /*
     542             :  * multirange_get_typcache: get cached information about a multirange type
     543             :  *
     544             :  * This is for use by multirange-related functions that follow the convention
     545             :  * of using the fn_extra field as a pointer to the type cache entry for
     546             :  * the multirange type.  Functions that need to cache more information than
     547             :  * that must fend for themselves.
     548             :  */
     549             : TypeCacheEntry *
     550     1255188 : multirange_get_typcache(FunctionCallInfo fcinfo, Oid mltrngtypid)
     551             : {
     552     1255188 :     TypeCacheEntry *typcache = (TypeCacheEntry *) fcinfo->flinfo->fn_extra;
     553             : 
     554     1255188 :     if (typcache == NULL ||
     555     1245798 :         typcache->type_id != mltrngtypid)
     556             :     {
     557        9390 :         typcache = lookup_type_cache(mltrngtypid, TYPECACHE_MULTIRANGE_INFO);
     558        9390 :         if (typcache->rngtype == NULL)
     559           0 :             elog(ERROR, "type %u is not a multirange type", mltrngtypid);
     560        9390 :         fcinfo->flinfo->fn_extra = typcache;
     561             :     }
     562             : 
     563     1255188 :     return typcache;
     564             : }
     565             : 
     566             : 
     567             : /*
     568             :  * Estimate size occupied by serialized multirange.
     569             :  */
     570             : static Size
     571       25340 : multirange_size_estimate(TypeCacheEntry *rangetyp, int32 range_count,
     572             :                          RangeType **ranges)
     573             : {
     574       25340 :     char        elemalign = rangetyp->rngelemtype->typalign;
     575             :     Size        size;
     576             :     int32       i;
     577             : 
     578             :     /*
     579             :      * Count space for MultirangeType struct, items and flags.
     580             :      */
     581       25340 :     size = att_align_nominal(sizeof(MultirangeType) +
     582             :                              Max(range_count - 1, 0) * sizeof(uint32) +
     583             :                              range_count * sizeof(uint8), elemalign);
     584             : 
     585             :     /* Count space for range bounds */
     586       74974 :     for (i = 0; i < range_count; i++)
     587       49634 :         size += att_align_nominal(VARSIZE(ranges[i]) -
     588             :                                   sizeof(RangeType) -
     589             :                                   sizeof(char), elemalign);
     590             : 
     591       25340 :     return size;
     592             : }
     593             : 
     594             : /*
     595             :  * Write multirange data into pre-allocated space.
     596             :  */
     597             : static void
     598       25340 : write_multirange_data(MultirangeType *multirange, TypeCacheEntry *rangetyp,
     599             :                       int32 range_count, RangeType **ranges)
     600             : {
     601             :     uint32     *items;
     602       25340 :     uint32      prev_offset = 0;
     603             :     uint8      *flags;
     604             :     int32       i;
     605             :     Pointer     begin,
     606             :                 ptr;
     607       25340 :     char        elemalign = rangetyp->rngelemtype->typalign;
     608             : 
     609       25340 :     items = MultirangeGetItemsPtr(multirange);
     610       25340 :     flags = MultirangeGetFlagsPtr(multirange);
     611       25340 :     ptr = begin = MultirangeGetBoundariesPtr(multirange, elemalign);
     612       74974 :     for (i = 0; i < range_count; i++)
     613             :     {
     614             :         uint32      len;
     615             : 
     616       49634 :         if (i > 0)
     617             :         {
     618             :             /*
     619             :              * Every range, except the first one, has an item.  Every
     620             :              * MULTIRANGE_ITEM_OFFSET_STRIDE item contains an offset, others
     621             :              * contain lengths.
     622             :              */
     623       25272 :             items[i - 1] = ptr - begin;
     624       25272 :             if ((i % MULTIRANGE_ITEM_OFFSET_STRIDE) != 0)
     625       25272 :                 items[i - 1] -= prev_offset;
     626             :             else
     627           0 :                 items[i - 1] |= MULTIRANGE_ITEM_OFF_BIT;
     628       25272 :             prev_offset = ptr - begin;
     629             :         }
     630       49634 :         flags[i] = *((Pointer) ranges[i] + VARSIZE(ranges[i]) - sizeof(char));
     631       49634 :         len = VARSIZE(ranges[i]) - sizeof(RangeType) - sizeof(char);
     632       49634 :         memcpy(ptr, (Pointer) (ranges[i] + 1), len);
     633       49634 :         ptr += att_align_nominal(len, elemalign);
     634             :     }
     635       25340 : }
     636             : 
     637             : 
     638             : /*
     639             :  * This serializes the multirange from a list of non-null ranges.  It also
     640             :  * sorts the ranges and merges any that touch.  The ranges should already be
     641             :  * detoasted, and there should be no NULLs.  This should be used by most
     642             :  * callers.
     643             :  *
     644             :  * Note that we may change the `ranges` parameter (the pointers, but not
     645             :  * any already-existing RangeType contents).
     646             :  */
     647             : MultirangeType *
     648       25340 : make_multirange(Oid mltrngtypoid, TypeCacheEntry *rangetyp, int32 range_count,
     649             :                 RangeType **ranges)
     650             : {
     651             :     MultirangeType *multirange;
     652             :     Size        size;
     653             : 
     654             :     /* Sort and merge input ranges. */
     655       25340 :     range_count = multirange_canonicalize(rangetyp, range_count, ranges);
     656             : 
     657             :     /* Note: zero-fill is required here, just as in heap tuples */
     658       25340 :     size = multirange_size_estimate(rangetyp, range_count, ranges);
     659       25340 :     multirange = palloc0(size);
     660       25340 :     SET_VARSIZE(multirange, size);
     661             : 
     662             :     /* Now fill in the datum */
     663       25340 :     multirange->multirangetypid = mltrngtypoid;
     664       25340 :     multirange->rangeCount = range_count;
     665             : 
     666       25340 :     write_multirange_data(multirange, rangetyp, range_count, ranges);
     667             : 
     668       25340 :     return multirange;
     669             : }
     670             : 
     671             : /*
     672             :  * Get offset of bounds values of the i'th range in the multirange.
     673             :  */
     674             : static uint32
     675     1611438 : multirange_get_bounds_offset(const MultirangeType *multirange, int32 i)
     676             : {
     677     1611438 :     uint32     *items = MultirangeGetItemsPtr(multirange);
     678     1611438 :     uint32      offset = 0;
     679             : 
     680             :     /*
     681             :      * Summarize lengths till we meet an offset.
     682             :      */
     683     2607704 :     while (i > 0)
     684             :     {
     685      996266 :         offset += MULTIRANGE_ITEM_GET_OFFLEN(items[i - 1]);
     686      996266 :         if (MULTIRANGE_ITEM_HAS_OFF(items[i - 1]))
     687           0 :             break;
     688      996266 :         i--;
     689             :     }
     690     1611438 :     return offset;
     691             : }
     692             : 
     693             : /*
     694             :  * Fetch the i'th range from the multirange.
     695             :  */
     696             : RangeType *
     697        4108 : multirange_get_range(TypeCacheEntry *rangetyp,
     698             :                      const MultirangeType *multirange, int i)
     699             : {
     700             :     uint32      offset;
     701             :     uint8       flags;
     702             :     Pointer     begin,
     703             :                 ptr;
     704        4108 :     int16       typlen = rangetyp->rngelemtype->typlen;
     705        4108 :     char        typalign = rangetyp->rngelemtype->typalign;
     706             :     uint32      len;
     707             :     RangeType  *range;
     708             : 
     709             :     Assert(i < multirange->rangeCount);
     710             : 
     711        4108 :     offset = multirange_get_bounds_offset(multirange, i);
     712        4108 :     flags = MultirangeGetFlagsPtr(multirange)[i];
     713        4108 :     ptr = begin = MultirangeGetBoundariesPtr(multirange, typalign) + offset;
     714             : 
     715             :     /*
     716             :      * Calculate the size of bound values.  In principle, we could get offset
     717             :      * of the next range bound values and calculate accordingly.  But range
     718             :      * bound values are aligned, so we have to walk the values to get the
     719             :      * exact size.
     720             :      */
     721        4108 :     if (RANGE_HAS_LBOUND(flags))
     722        3460 :         ptr = (Pointer) att_addlength_pointer(ptr, typlen, ptr);
     723        4108 :     if (RANGE_HAS_UBOUND(flags))
     724             :     {
     725        3382 :         ptr = (Pointer) att_align_pointer(ptr, typalign, typlen, ptr);
     726        3382 :         ptr = (Pointer) att_addlength_pointer(ptr, typlen, ptr);
     727             :     }
     728        4108 :     len = (ptr - begin) + sizeof(RangeType) + sizeof(uint8);
     729             : 
     730        4108 :     range = palloc0(len);
     731        4108 :     SET_VARSIZE(range, len);
     732        4108 :     range->rangetypid = rangetyp->type_id;
     733             : 
     734        4108 :     memcpy(range + 1, begin, ptr - begin);
     735        4108 :     *((uint8 *) (range + 1) + (ptr - begin)) = flags;
     736             : 
     737        4108 :     return range;
     738             : }
     739             : 
     740             : /*
     741             :  * Fetch bounds from the i'th range of the multirange.  This is the shortcut for
     742             :  * doing the same thing as multirange_get_range() + range_deserialize(), but
     743             :  * performing fewer operations.
     744             :  */
     745             : void
     746     1607330 : multirange_get_bounds(TypeCacheEntry *rangetyp,
     747             :                       const MultirangeType *multirange,
     748             :                       uint32 i, RangeBound *lower, RangeBound *upper)
     749             : {
     750             :     uint32      offset;
     751             :     uint8       flags;
     752             :     Pointer     ptr;
     753     1607330 :     int16       typlen = rangetyp->rngelemtype->typlen;
     754     1607330 :     char        typalign = rangetyp->rngelemtype->typalign;
     755     1607330 :     bool        typbyval = rangetyp->rngelemtype->typbyval;
     756             :     Datum       lbound;
     757             :     Datum       ubound;
     758             : 
     759             :     Assert(i < multirange->rangeCount);
     760             : 
     761     1607330 :     offset = multirange_get_bounds_offset(multirange, i);
     762     1607330 :     flags = MultirangeGetFlagsPtr(multirange)[i];
     763     1607330 :     ptr = MultirangeGetBoundariesPtr(multirange, typalign) + offset;
     764             : 
     765             :     /* multirange can't contain empty ranges */
     766             :     Assert((flags & RANGE_EMPTY) == 0);
     767             : 
     768             :     /* fetch lower bound, if any */
     769     1607330 :     if (RANGE_HAS_LBOUND(flags))
     770             :     {
     771             :         /* att_align_pointer cannot be necessary here */
     772     1589726 :         lbound = fetch_att(ptr, typbyval, typlen);
     773     1589726 :         ptr = (Pointer) att_addlength_pointer(ptr, typlen, ptr);
     774             :     }
     775             :     else
     776       17604 :         lbound = (Datum) 0;
     777             : 
     778             :     /* fetch upper bound, if any */
     779     1607330 :     if (RANGE_HAS_UBOUND(flags))
     780             :     {
     781     1591088 :         ptr = (Pointer) att_align_pointer(ptr, typalign, typlen, ptr);
     782     1591088 :         ubound = fetch_att(ptr, typbyval, typlen);
     783             :         /* no need for att_addlength_pointer */
     784             :     }
     785             :     else
     786       16242 :         ubound = (Datum) 0;
     787             : 
     788             :     /* emit results */
     789     1607330 :     lower->val = lbound;
     790     1607330 :     lower->infinite = (flags & RANGE_LB_INF) != 0;
     791     1607330 :     lower->inclusive = (flags & RANGE_LB_INC) != 0;
     792     1607330 :     lower->lower = true;
     793             : 
     794     1607330 :     upper->val = ubound;
     795     1607330 :     upper->infinite = (flags & RANGE_UB_INF) != 0;
     796     1607330 :     upper->inclusive = (flags & RANGE_UB_INC) != 0;
     797     1607330 :     upper->lower = false;
     798     1607330 : }
     799             : 
     800             : /*
     801             :  * Construct union range from the multirange.
     802             :  */
     803             : RangeType *
     804       23106 : multirange_get_union_range(TypeCacheEntry *rangetyp,
     805             :                            const MultirangeType *mr)
     806             : {
     807             :     RangeBound  lower,
     808             :                 upper,
     809             :                 tmp;
     810             : 
     811       23106 :     if (MultirangeIsEmpty(mr))
     812        3042 :         return make_empty_range(rangetyp);
     813             : 
     814       20064 :     multirange_get_bounds(rangetyp, mr, 0, &lower, &tmp);
     815       20064 :     multirange_get_bounds(rangetyp, mr, mr->rangeCount - 1, &tmp, &upper);
     816             : 
     817       20064 :     return make_range(rangetyp, &lower, &upper, false, NULL);
     818             : }
     819             : 
     820             : 
     821             : /*
     822             :  * multirange_deserialize: deconstruct a multirange value
     823             :  *
     824             :  * NB: the given multirange object must be fully detoasted; it cannot have a
     825             :  * short varlena header.
     826             :  */
     827             : void
     828        4124 : multirange_deserialize(TypeCacheEntry *rangetyp,
     829             :                        const MultirangeType *multirange, int32 *range_count,
     830             :                        RangeType ***ranges)
     831             : {
     832        4124 :     *range_count = multirange->rangeCount;
     833             : 
     834             :     /* Convert each ShortRangeType into a RangeType */
     835        4124 :     if (*range_count > 0)
     836             :     {
     837             :         int         i;
     838             : 
     839        3494 :         *ranges = palloc(*range_count * sizeof(RangeType *));
     840        7542 :         for (i = 0; i < *range_count; i++)
     841        4048 :             (*ranges)[i] = multirange_get_range(rangetyp, multirange, i);
     842             :     }
     843             :     else
     844             :     {
     845         630 :         *ranges = NULL;
     846             :     }
     847        4124 : }
     848             : 
     849             : MultirangeType *
     850          18 : make_empty_multirange(Oid mltrngtypoid, TypeCacheEntry *rangetyp)
     851             : {
     852          18 :     return make_multirange(mltrngtypoid, rangetyp, 0, NULL);
     853             : }
     854             : 
     855             : /*
     856             :  * Similar to range_overlaps_internal(), but takes range bounds instead of
     857             :  * ranges as arguments.
     858             :  */
     859             : static bool
     860       58434 : range_bounds_overlaps(TypeCacheEntry *typcache,
     861             :                       RangeBound *lower1, RangeBound *upper1,
     862             :                       RangeBound *lower2, RangeBound *upper2)
     863             : {
     864      114558 :     if (range_cmp_bounds(typcache, lower1, lower2) >= 0 &&
     865       56124 :         range_cmp_bounds(typcache, lower1, upper2) <= 0)
     866         912 :         return true;
     867             : 
     868       59832 :     if (range_cmp_bounds(typcache, lower2, lower1) >= 0 &&
     869        2310 :         range_cmp_bounds(typcache, lower2, upper1) <= 0)
     870        2310 :         return true;
     871             : 
     872       55212 :     return false;
     873             : }
     874             : 
     875             : /*
     876             :  * Similar to range_contains_internal(), but takes range bounds instead of
     877             :  * ranges as arguments.
     878             :  */
     879             : static bool
     880       94558 : range_bounds_contains(TypeCacheEntry *typcache,
     881             :                       RangeBound *lower1, RangeBound *upper1,
     882             :                       RangeBound *lower2, RangeBound *upper2)
     883             : {
     884      125510 :     if (range_cmp_bounds(typcache, lower1, lower2) <= 0 &&
     885       30952 :         range_cmp_bounds(typcache, upper1, upper2) >= 0)
     886        8940 :         return true;
     887             : 
     888       85618 :     return false;
     889             : }
     890             : 
     891             : /*
     892             :  * Check if the given key matches any range in multirange using binary search.
     893             :  * If the required range isn't found, that counts as a mismatch.  When the
     894             :  * required range is found, the comparison function can still report this as
     895             :  * either match or mismatch.  For instance, if we search for containment, we can
     896             :  * found a range, which is overlapping but not containing the key range, and
     897             :  * that would count as a mismatch.
     898             :  */
     899             : static bool
     900      157610 : multirange_bsearch_match(TypeCacheEntry *typcache, const MultirangeType *mr,
     901             :                          void *key, multirange_bsearch_comparison cmp_func)
     902             : {
     903             :     uint32      l,
     904             :                 u,
     905             :                 idx;
     906             :     int         comparison;
     907      157610 :     bool        match = false;
     908             : 
     909      157610 :     l = 0;
     910      157610 :     u = mr->rangeCount;
     911      413070 :     while (l < u)
     912             :     {
     913             :         RangeBound  lower,
     914             :                     upper;
     915             : 
     916      277682 :         idx = (l + u) / 2;
     917      277682 :         multirange_get_bounds(typcache, mr, idx, &lower, &upper);
     918      277682 :         comparison = (*cmp_func) (typcache, &lower, &upper, key, &match);
     919             : 
     920      277682 :         if (comparison < 0)
     921       94238 :             u = idx;
     922      183444 :         else if (comparison > 0)
     923      161222 :             l = idx + 1;
     924             :         else
     925       22222 :             return match;
     926             :     }
     927             : 
     928      135388 :     return false;
     929             : }
     930             : 
     931             : /*
     932             :  *----------------------------------------------------------
     933             :  * GENERIC FUNCTIONS
     934             :  *----------------------------------------------------------
     935             :  */
     936             : 
     937             : /*
     938             :  * Construct multirange value from zero or more ranges.  Since this is a
     939             :  * variadic function we get passed an array.  The array must contain ranges
     940             :  * that match our return value, and there must be no NULLs.
     941             :  */
     942             : Datum
     943       13872 : multirange_constructor2(PG_FUNCTION_ARGS)
     944             : {
     945       13872 :     Oid         mltrngtypid = get_fn_expr_rettype(fcinfo->flinfo);
     946             :     Oid         rngtypid;
     947             :     TypeCacheEntry *typcache;
     948             :     TypeCacheEntry *rangetyp;
     949             :     ArrayType  *rangeArray;
     950             :     int         range_count;
     951             :     Datum      *elements;
     952             :     bool       *nulls;
     953             :     RangeType **ranges;
     954             :     int         dims;
     955             :     int         i;
     956             : 
     957       13872 :     typcache = multirange_get_typcache(fcinfo, mltrngtypid);
     958       13872 :     rangetyp = typcache->rngtype;
     959             : 
     960             :     /*
     961             :      * A no-arg invocation should call multirange_constructor0 instead, but
     962             :      * returning an empty range is what that does.
     963             :      */
     964             : 
     965       13872 :     if (PG_NARGS() == 0)
     966           0 :         PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, 0, NULL));
     967             : 
     968             :     /*
     969             :      * This check should be guaranteed by our signature, but let's do it just
     970             :      * in case.
     971             :      */
     972             : 
     973       13872 :     if (PG_ARGISNULL(0))
     974           0 :         elog(ERROR,
     975             :              "multirange values cannot contain null members");
     976             : 
     977       13872 :     rangeArray = PG_GETARG_ARRAYTYPE_P(0);
     978             : 
     979       13872 :     dims = ARR_NDIM(rangeArray);
     980       13872 :     if (dims > 1)
     981           0 :         ereport(ERROR,
     982             :                 (errcode(ERRCODE_CARDINALITY_VIOLATION),
     983             :                  errmsg("multiranges cannot be constructed from multidimensional arrays")));
     984             : 
     985       13872 :     rngtypid = ARR_ELEMTYPE(rangeArray);
     986       13872 :     if (rngtypid != rangetyp->type_id)
     987           0 :         elog(ERROR, "type %u does not match constructor type", rngtypid);
     988             : 
     989             :     /*
     990             :      * Be careful: we can still be called with zero ranges, like this:
     991             :      * `int4multirange(variadic '{}'::int4range[])
     992             :      */
     993       13872 :     if (dims == 0)
     994             :     {
     995           6 :         range_count = 0;
     996           6 :         ranges = NULL;
     997             :     }
     998             :     else
     999             :     {
    1000       13866 :         deconstruct_array(rangeArray, rngtypid, rangetyp->typlen, rangetyp->typbyval,
    1001       13866 :                           rangetyp->typalign, &elements, &nulls, &range_count);
    1002             : 
    1003       13866 :         ranges = palloc0(range_count * sizeof(RangeType *));
    1004       53610 :         for (i = 0; i < range_count; i++)
    1005             :         {
    1006       39744 :             if (nulls[i])
    1007           0 :                 ereport(ERROR,
    1008             :                         (errcode(ERRCODE_NULL_VALUE_NOT_ALLOWED),
    1009             :                          errmsg("multirange values cannot contain null members")));
    1010             : 
    1011             :             /* make_multirange will do its own copy */
    1012       39744 :             ranges[i] = DatumGetRangeTypeP(elements[i]);
    1013             :         }
    1014             :     }
    1015             : 
    1016       13872 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, range_count, ranges));
    1017             : }
    1018             : 
    1019             : /*
    1020             :  * Construct multirange value from a single range.  It'd be nice if we could
    1021             :  * just use multirange_constructor2 for this case, but we need a non-variadic
    1022             :  * single-arg function to let us define a CAST from a range to its multirange.
    1023             :  */
    1024             : Datum
    1025        8352 : multirange_constructor1(PG_FUNCTION_ARGS)
    1026             : {
    1027        8352 :     Oid         mltrngtypid = get_fn_expr_rettype(fcinfo->flinfo);
    1028             :     Oid         rngtypid;
    1029             :     TypeCacheEntry *typcache;
    1030             :     TypeCacheEntry *rangetyp;
    1031             :     RangeType  *range;
    1032             : 
    1033        8352 :     typcache = multirange_get_typcache(fcinfo, mltrngtypid);
    1034        8352 :     rangetyp = typcache->rngtype;
    1035             : 
    1036             :     /*
    1037             :      * This check should be guaranteed by our signature, but let's do it just
    1038             :      * in case.
    1039             :      */
    1040             : 
    1041        8352 :     if (PG_ARGISNULL(0))
    1042           0 :         elog(ERROR,
    1043             :              "multirange values cannot contain null members");
    1044             : 
    1045        8352 :     range = PG_GETARG_RANGE_P(0);
    1046             : 
    1047             :     /* Make sure the range type matches. */
    1048        8352 :     rngtypid = RangeTypeGetOid(range);
    1049        8352 :     if (rngtypid != rangetyp->type_id)
    1050           0 :         elog(ERROR, "type %u does not match constructor type", rngtypid);
    1051             : 
    1052        8352 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, 1, &range));
    1053             : }
    1054             : 
    1055             : /*
    1056             :  * Constructor just like multirange_constructor1, but opr_sanity gets angry
    1057             :  * if the same internal function handles multiple functions with different arg
    1058             :  * counts.
    1059             :  */
    1060             : Datum
    1061         402 : multirange_constructor0(PG_FUNCTION_ARGS)
    1062             : {
    1063             :     Oid         mltrngtypid;
    1064             :     TypeCacheEntry *typcache;
    1065             :     TypeCacheEntry *rangetyp;
    1066             : 
    1067             :     /* This should always be called without arguments */
    1068         402 :     if (PG_NARGS() != 0)
    1069           0 :         elog(ERROR,
    1070             :              "niladic multirange constructor must not receive arguments");
    1071             : 
    1072         402 :     mltrngtypid = get_fn_expr_rettype(fcinfo->flinfo);
    1073         402 :     typcache = multirange_get_typcache(fcinfo, mltrngtypid);
    1074         402 :     rangetyp = typcache->rngtype;
    1075             : 
    1076         402 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, 0, NULL));
    1077             : }
    1078             : 
    1079             : 
    1080             : /* multirange, multirange -> multirange type functions */
    1081             : 
    1082             : /* multirange union */
    1083             : Datum
    1084          54 : multirange_union(PG_FUNCTION_ARGS)
    1085             : {
    1086          54 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1087          54 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1088             :     TypeCacheEntry *typcache;
    1089             :     int32       range_count1;
    1090             :     int32       range_count2;
    1091             :     int32       range_count3;
    1092             :     RangeType **ranges1;
    1093             :     RangeType **ranges2;
    1094             :     RangeType **ranges3;
    1095             : 
    1096          54 :     if (MultirangeIsEmpty(mr1))
    1097          12 :         PG_RETURN_MULTIRANGE_P(mr2);
    1098          42 :     if (MultirangeIsEmpty(mr2))
    1099           6 :         PG_RETURN_MULTIRANGE_P(mr1);
    1100             : 
    1101          36 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    1102             : 
    1103          36 :     multirange_deserialize(typcache->rngtype, mr1, &range_count1, &ranges1);
    1104          36 :     multirange_deserialize(typcache->rngtype, mr2, &range_count2, &ranges2);
    1105             : 
    1106          36 :     range_count3 = range_count1 + range_count2;
    1107          36 :     ranges3 = palloc0(range_count3 * sizeof(RangeType *));
    1108          36 :     memcpy(ranges3, ranges1, range_count1 * sizeof(RangeType *));
    1109          36 :     memcpy(ranges3 + range_count1, ranges2, range_count2 * sizeof(RangeType *));
    1110          36 :     PG_RETURN_MULTIRANGE_P(make_multirange(typcache->type_id, typcache->rngtype,
    1111             :                                            range_count3, ranges3));
    1112             : }
    1113             : 
    1114             : /* multirange minus */
    1115             : Datum
    1116         120 : multirange_minus(PG_FUNCTION_ARGS)
    1117             : {
    1118         120 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1119         120 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1120         120 :     Oid         mltrngtypoid = MultirangeTypeGetOid(mr1);
    1121             :     TypeCacheEntry *typcache;
    1122             :     TypeCacheEntry *rangetyp;
    1123             :     int32       range_count1;
    1124             :     int32       range_count2;
    1125             :     RangeType **ranges1;
    1126             :     RangeType **ranges2;
    1127             : 
    1128         120 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1129         120 :     rangetyp = typcache->rngtype;
    1130             : 
    1131         120 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    1132          24 :         PG_RETURN_MULTIRANGE_P(mr1);
    1133             : 
    1134          96 :     multirange_deserialize(typcache->rngtype, mr1, &range_count1, &ranges1);
    1135          96 :     multirange_deserialize(typcache->rngtype, mr2, &range_count2, &ranges2);
    1136             : 
    1137          96 :     PG_RETURN_MULTIRANGE_P(multirange_minus_internal(mltrngtypoid,
    1138             :                                                      rangetyp,
    1139             :                                                      range_count1,
    1140             :                                                      ranges1,
    1141             :                                                      range_count2,
    1142             :                                                      ranges2));
    1143             : }
    1144             : 
    1145             : MultirangeType *
    1146         192 : multirange_minus_internal(Oid mltrngtypoid, TypeCacheEntry *rangetyp,
    1147             :                           int32 range_count1, RangeType **ranges1,
    1148             :                           int32 range_count2, RangeType **ranges2)
    1149             : {
    1150             :     RangeType  *r1;
    1151             :     RangeType  *r2;
    1152             :     RangeType **ranges3;
    1153             :     int32       range_count3;
    1154             :     int32       i1;
    1155             :     int32       i2;
    1156             : 
    1157             :     /*
    1158             :      * Worst case: every range in ranges1 makes a different cut to some range
    1159             :      * in ranges2.
    1160             :      */
    1161         192 :     ranges3 = palloc0((range_count1 + range_count2) * sizeof(RangeType *));
    1162         192 :     range_count3 = 0;
    1163             : 
    1164             :     /*
    1165             :      * For each range in mr1, keep subtracting until it's gone or the ranges
    1166             :      * in mr2 have passed it. After a subtraction we assign what's left back
    1167             :      * to r1. The parallel progress through mr1 and mr2 is similar to
    1168             :      * multirange_overlaps_multirange_internal.
    1169             :      */
    1170         192 :     r2 = ranges2[0];
    1171         468 :     for (i1 = 0, i2 = 0; i1 < range_count1; i1++)
    1172             :     {
    1173         276 :         r1 = ranges1[i1];
    1174             : 
    1175             :         /* Discard r2s while r2 << r1 */
    1176         312 :         while (r2 != NULL && range_before_internal(rangetyp, r2, r1))
    1177             :         {
    1178          36 :             r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1179             :         }
    1180             : 
    1181         348 :         while (r2 != NULL)
    1182             :         {
    1183         264 :             if (range_split_internal(rangetyp, r1, r2, &ranges3[range_count3], &r1))
    1184             :             {
    1185             :                 /*
    1186             :                  * If r2 takes a bite out of the middle of r1, we need two
    1187             :                  * outputs
    1188             :                  */
    1189          36 :                 range_count3++;
    1190          36 :                 r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1191             :             }
    1192         228 :             else if (range_overlaps_internal(rangetyp, r1, r2))
    1193             :             {
    1194             :                 /*
    1195             :                  * If r2 overlaps r1, replace r1 with r1 - r2.
    1196             :                  */
    1197         132 :                 r1 = range_minus_internal(rangetyp, r1, r2);
    1198             : 
    1199             :                 /*
    1200             :                  * If r2 goes past r1, then we need to stay with it, in case
    1201             :                  * it hits future r1s. Otherwise we need to keep r1, in case
    1202             :                  * future r2s hit it. Since we already subtracted, there's no
    1203             :                  * point in using the overright/overleft calls.
    1204             :                  */
    1205         132 :                 if (RangeIsEmpty(r1) || range_before_internal(rangetyp, r1, r2))
    1206             :                     break;
    1207             :                 else
    1208          36 :                     r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1209             :             }
    1210             :             else
    1211             :             {
    1212             :                 /*
    1213             :                  * This and all future r2s are past r1, so keep them. Also
    1214             :                  * assign whatever is left of r1 to the result.
    1215             :                  */
    1216          96 :                 break;
    1217             :             }
    1218             :         }
    1219             : 
    1220             :         /*
    1221             :          * Nothing else can remove anything from r1, so keep it. Even if r1 is
    1222             :          * empty here, make_multirange will remove it.
    1223             :          */
    1224         276 :         ranges3[range_count3++] = r1;
    1225             :     }
    1226             : 
    1227         192 :     return make_multirange(mltrngtypoid, rangetyp, range_count3, ranges3);
    1228             : }
    1229             : 
    1230             : /*
    1231             :  * multirange_minus_multi - like multirange_minus but returning the result as a
    1232             :  * SRF, with no rows if the result would be empty.
    1233             :  */
    1234             : Datum
    1235         210 : multirange_minus_multi(PG_FUNCTION_ARGS)
    1236             : {
    1237             :     FuncCallContext *funcctx;
    1238             :     MemoryContext oldcontext;
    1239             : 
    1240         210 :     if (!SRF_IS_FIRSTCALL())
    1241             :     {
    1242             :         /* We never have more than one result */
    1243          90 :         funcctx = SRF_PERCALL_SETUP();
    1244          90 :         SRF_RETURN_DONE(funcctx);
    1245             :     }
    1246             :     else
    1247             :     {
    1248             :         MultirangeType *mr1;
    1249             :         MultirangeType *mr2;
    1250             :         Oid         mltrngtypoid;
    1251             :         TypeCacheEntry *typcache;
    1252             :         TypeCacheEntry *rangetyp;
    1253             :         int32       range_count1;
    1254             :         int32       range_count2;
    1255             :         RangeType **ranges1;
    1256             :         RangeType **ranges2;
    1257             :         MultirangeType *mr;
    1258             : 
    1259         120 :         funcctx = SRF_FIRSTCALL_INIT();
    1260             : 
    1261             :         /*
    1262             :          * switch to memory context appropriate for multiple function calls
    1263             :          */
    1264         120 :         oldcontext = MemoryContextSwitchTo(funcctx->multi_call_memory_ctx);
    1265             : 
    1266             :         /* get args, detoasting into multi-call memory context */
    1267         120 :         mr1 = PG_GETARG_MULTIRANGE_P(0);
    1268         120 :         mr2 = PG_GETARG_MULTIRANGE_P(1);
    1269             : 
    1270         120 :         mltrngtypoid = MultirangeTypeGetOid(mr1);
    1271         120 :         typcache = lookup_type_cache(mltrngtypoid, TYPECACHE_MULTIRANGE_INFO);
    1272         120 :         if (typcache->rngtype == NULL)
    1273           0 :             elog(ERROR, "type %u is not a multirange type", mltrngtypoid);
    1274         120 :         rangetyp = typcache->rngtype;
    1275             : 
    1276         120 :         if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    1277          24 :             mr = mr1;
    1278             :         else
    1279             :         {
    1280          96 :             multirange_deserialize(rangetyp, mr1, &range_count1, &ranges1);
    1281          96 :             multirange_deserialize(rangetyp, mr2, &range_count2, &ranges2);
    1282             : 
    1283          96 :             mr = multirange_minus_internal(mltrngtypoid,
    1284             :                                            rangetyp,
    1285             :                                            range_count1,
    1286             :                                            ranges1,
    1287             :                                            range_count2,
    1288             :                                            ranges2);
    1289             :         }
    1290             : 
    1291         120 :         MemoryContextSwitchTo(oldcontext);
    1292             : 
    1293         120 :         funcctx = SRF_PERCALL_SETUP();
    1294         120 :         if (MultirangeIsEmpty(mr))
    1295          30 :             SRF_RETURN_DONE(funcctx);
    1296             :         else
    1297          90 :             SRF_RETURN_NEXT(funcctx, MultirangeTypePGetDatum(mr));
    1298             :     }
    1299             : }
    1300             : 
    1301             : /* multirange intersection */
    1302             : Datum
    1303         186 : multirange_intersect(PG_FUNCTION_ARGS)
    1304             : {
    1305         186 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1306         186 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1307         186 :     Oid         mltrngtypoid = MultirangeTypeGetOid(mr1);
    1308             :     TypeCacheEntry *typcache;
    1309             :     TypeCacheEntry *rangetyp;
    1310             :     int32       range_count1;
    1311             :     int32       range_count2;
    1312             :     RangeType **ranges1;
    1313             :     RangeType **ranges2;
    1314             : 
    1315         186 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1316         186 :     rangetyp = typcache->rngtype;
    1317             : 
    1318         186 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    1319          18 :         PG_RETURN_MULTIRANGE_P(make_empty_multirange(mltrngtypoid, rangetyp));
    1320             : 
    1321         168 :     multirange_deserialize(rangetyp, mr1, &range_count1, &ranges1);
    1322         168 :     multirange_deserialize(rangetyp, mr2, &range_count2, &ranges2);
    1323             : 
    1324         168 :     PG_RETURN_MULTIRANGE_P(multirange_intersect_internal(mltrngtypoid,
    1325             :                                                          rangetyp,
    1326             :                                                          range_count1,
    1327             :                                                          ranges1,
    1328             :                                                          range_count2,
    1329             :                                                          ranges2));
    1330             : }
    1331             : 
    1332             : MultirangeType *
    1333         264 : multirange_intersect_internal(Oid mltrngtypoid, TypeCacheEntry *rangetyp,
    1334             :                               int32 range_count1, RangeType **ranges1,
    1335             :                               int32 range_count2, RangeType **ranges2)
    1336             : {
    1337             :     RangeType  *r1;
    1338             :     RangeType  *r2;
    1339             :     RangeType **ranges3;
    1340             :     int32       range_count3;
    1341             :     int32       i1;
    1342             :     int32       i2;
    1343             : 
    1344         264 :     if (range_count1 == 0 || range_count2 == 0)
    1345          60 :         return make_multirange(mltrngtypoid, rangetyp, 0, NULL);
    1346             : 
    1347             :     /*-----------------------------------------------
    1348             :      * Worst case is a stitching pattern like this:
    1349             :      *
    1350             :      * mr1: --- --- --- ---
    1351             :      * mr2:   --- --- ---
    1352             :      * mr3:   - - - - - -
    1353             :      *
    1354             :      * That seems to be range_count1 + range_count2 - 1,
    1355             :      * but one extra won't hurt.
    1356             :      *-----------------------------------------------
    1357             :      */
    1358         204 :     ranges3 = palloc0((range_count1 + range_count2) * sizeof(RangeType *));
    1359         204 :     range_count3 = 0;
    1360             : 
    1361             :     /*
    1362             :      * For each range in mr1, keep intersecting until the ranges in mr2 have
    1363             :      * passed it. The parallel progress through mr1 and mr2 is similar to
    1364             :      * multirange_minus_multirange_internal, but we don't have to assign back
    1365             :      * to r1.
    1366             :      */
    1367         204 :     r2 = ranges2[0];
    1368         414 :     for (i1 = 0, i2 = 0; i1 < range_count1; i1++)
    1369             :     {
    1370         240 :         r1 = ranges1[i1];
    1371             : 
    1372             :         /* Discard r2s while r2 << r1 */
    1373         252 :         while (r2 != NULL && range_before_internal(rangetyp, r2, r1))
    1374             :         {
    1375          12 :             r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1376             :         }
    1377             : 
    1378         306 :         while (r2 != NULL)
    1379             :         {
    1380         276 :             if (range_overlaps_internal(rangetyp, r1, r2))
    1381             :             {
    1382             :                 /* Keep the overlapping part */
    1383         258 :                 ranges3[range_count3++] = range_intersect_internal(rangetyp, r1, r2);
    1384             : 
    1385             :                 /* If we "used up" all of r2, go to the next one... */
    1386         258 :                 if (range_overleft_internal(rangetyp, r2, r1))
    1387          66 :                     r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1388             : 
    1389             :                 /* ...otherwise go to the next r1 */
    1390             :                 else
    1391         192 :                     break;
    1392             :             }
    1393             :             else
    1394             :                 /* We're past r1, so move to the next one */
    1395          18 :                 break;
    1396             :         }
    1397             : 
    1398             :         /* If we're out of r2s, there can be no more intersections */
    1399         240 :         if (r2 == NULL)
    1400          30 :             break;
    1401             :     }
    1402             : 
    1403         204 :     return make_multirange(mltrngtypoid, rangetyp, range_count3, ranges3);
    1404             : }
    1405             : 
    1406             : /*
    1407             :  * range_agg_transfn: combine adjacent/overlapping ranges.
    1408             :  *
    1409             :  * All we do here is gather the input ranges into an array
    1410             :  * so that the finalfn can sort and combine them.
    1411             :  */
    1412             : Datum
    1413         414 : range_agg_transfn(PG_FUNCTION_ARGS)
    1414             : {
    1415             :     MemoryContext aggContext;
    1416             :     Oid         rngtypoid;
    1417             :     ArrayBuildState *state;
    1418             : 
    1419         414 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1420           0 :         elog(ERROR, "range_agg_transfn called in non-aggregate context");
    1421             : 
    1422         414 :     rngtypoid = get_fn_expr_argtype(fcinfo->flinfo, 1);
    1423         414 :     if (!type_is_range(rngtypoid))
    1424           0 :         elog(ERROR, "range_agg must be called with a range");
    1425             : 
    1426         414 :     if (PG_ARGISNULL(0))
    1427         268 :         state = initArrayResult(rngtypoid, aggContext, false);
    1428             :     else
    1429         146 :         state = (ArrayBuildState *) PG_GETARG_POINTER(0);
    1430             : 
    1431             :     /* skip NULLs */
    1432         414 :     if (!PG_ARGISNULL(1))
    1433         390 :         accumArrayResult(state, PG_GETARG_DATUM(1), false, rngtypoid, aggContext);
    1434             : 
    1435         414 :     PG_RETURN_POINTER(state);
    1436             : }
    1437             : 
    1438             : /*
    1439             :  * range_agg_finalfn: use our internal array to merge touching ranges.
    1440             :  *
    1441             :  * Shared by range_agg_finalfn(anyrange) and
    1442             :  * multirange_agg_finalfn(anymultirange).
    1443             :  */
    1444             : Datum
    1445         670 : range_agg_finalfn(PG_FUNCTION_ARGS)
    1446             : {
    1447             :     MemoryContext aggContext;
    1448             :     Oid         mltrngtypoid;
    1449             :     TypeCacheEntry *typcache;
    1450             :     ArrayBuildState *state;
    1451             :     int32       range_count;
    1452             :     RangeType **ranges;
    1453             :     int         i;
    1454             : 
    1455         670 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1456           0 :         elog(ERROR, "range_agg_finalfn called in non-aggregate context");
    1457             : 
    1458         670 :     state = PG_ARGISNULL(0) ? NULL : (ArrayBuildState *) PG_GETARG_POINTER(0);
    1459         670 :     if (state == NULL)
    1460             :         /* This shouldn't be possible, but just in case.... */
    1461         174 :         PG_RETURN_NULL();
    1462             : 
    1463             :     /* Also return NULL if we had zero inputs, like other aggregates */
    1464         496 :     range_count = state->nelems;
    1465         496 :     if (range_count == 0)
    1466          18 :         PG_RETURN_NULL();
    1467             : 
    1468         478 :     mltrngtypoid = get_fn_expr_rettype(fcinfo->flinfo);
    1469         478 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1470             : 
    1471         478 :     ranges = palloc0(range_count * sizeof(RangeType *));
    1472        1264 :     for (i = 0; i < range_count; i++)
    1473         786 :         ranges[i] = DatumGetRangeTypeP(state->dvalues[i]);
    1474             : 
    1475         478 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypoid, typcache->rngtype, range_count, ranges));
    1476             : }
    1477             : 
    1478             : /*
    1479             :  * multirange_agg_transfn: combine adjacent/overlapping multiranges.
    1480             :  *
    1481             :  * All we do here is gather the input multiranges' ranges into an array so
    1482             :  * that the finalfn can sort and combine them.
    1483             :  */
    1484             : Datum
    1485         450 : multirange_agg_transfn(PG_FUNCTION_ARGS)
    1486             : {
    1487             :     MemoryContext aggContext;
    1488             :     Oid         mltrngtypoid;
    1489             :     TypeCacheEntry *typcache;
    1490             :     TypeCacheEntry *rngtypcache;
    1491             :     ArrayBuildState *state;
    1492             : 
    1493         450 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1494           0 :         elog(ERROR, "multirange_agg_transfn called in non-aggregate context");
    1495             : 
    1496         450 :     mltrngtypoid = get_fn_expr_argtype(fcinfo->flinfo, 1);
    1497         450 :     if (!type_is_multirange(mltrngtypoid))
    1498           0 :         elog(ERROR, "range_agg must be called with a multirange");
    1499             : 
    1500         450 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1501         450 :     rngtypcache = typcache->rngtype;
    1502             : 
    1503         450 :     if (PG_ARGISNULL(0))
    1504         228 :         state = initArrayResult(rngtypcache->type_id, aggContext, false);
    1505             :     else
    1506         222 :         state = (ArrayBuildState *) PG_GETARG_POINTER(0);
    1507             : 
    1508             :     /* skip NULLs */
    1509         450 :     if (!PG_ARGISNULL(1))
    1510             :     {
    1511             :         MultirangeType *current;
    1512             :         int32       range_count;
    1513             :         RangeType **ranges;
    1514             : 
    1515         384 :         current = PG_GETARG_MULTIRANGE_P(1);
    1516         384 :         multirange_deserialize(rngtypcache, current, &range_count, &ranges);
    1517         384 :         if (range_count == 0)
    1518             :         {
    1519             :             /*
    1520             :              * Add an empty range so we get an empty result (not a null
    1521             :              * result).
    1522             :              */
    1523          42 :             accumArrayResult(state,
    1524          42 :                              RangeTypePGetDatum(make_empty_range(rngtypcache)),
    1525             :                              false, rngtypcache->type_id, aggContext);
    1526             :         }
    1527             :         else
    1528             :         {
    1529         696 :             for (int32 i = 0; i < range_count; i++)
    1530         354 :                 accumArrayResult(state, RangeTypePGetDatum(ranges[i]), false, rngtypcache->type_id, aggContext);
    1531             :         }
    1532             :     }
    1533             : 
    1534         450 :     PG_RETURN_POINTER(state);
    1535             : }
    1536             : 
    1537             : Datum
    1538          96 : multirange_intersect_agg_transfn(PG_FUNCTION_ARGS)
    1539             : {
    1540             :     MemoryContext aggContext;
    1541             :     Oid         mltrngtypoid;
    1542             :     TypeCacheEntry *typcache;
    1543             :     MultirangeType *result;
    1544             :     MultirangeType *current;
    1545             :     int32       range_count1;
    1546             :     int32       range_count2;
    1547             :     RangeType **ranges1;
    1548             :     RangeType **ranges2;
    1549             : 
    1550          96 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1551           0 :         elog(ERROR, "multirange_intersect_agg_transfn called in non-aggregate context");
    1552             : 
    1553          96 :     mltrngtypoid = get_fn_expr_argtype(fcinfo->flinfo, 1);
    1554          96 :     if (!type_is_multirange(mltrngtypoid))
    1555           0 :         elog(ERROR, "range_intersect_agg must be called with a multirange");
    1556             : 
    1557          96 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1558             : 
    1559             :     /* strictness ensures these are non-null */
    1560          96 :     result = PG_GETARG_MULTIRANGE_P(0);
    1561          96 :     current = PG_GETARG_MULTIRANGE_P(1);
    1562             : 
    1563          96 :     multirange_deserialize(typcache->rngtype, result, &range_count1, &ranges1);
    1564          96 :     multirange_deserialize(typcache->rngtype, current, &range_count2, &ranges2);
    1565             : 
    1566          96 :     result = multirange_intersect_internal(mltrngtypoid,
    1567          96 :                                            typcache->rngtype,
    1568             :                                            range_count1,
    1569             :                                            ranges1,
    1570             :                                            range_count2,
    1571             :                                            ranges2);
    1572          96 :     PG_RETURN_MULTIRANGE_P(result);
    1573             : }
    1574             : 
    1575             : 
    1576             : /* multirange -> element type functions */
    1577             : 
    1578             : /* extract lower bound value */
    1579             : Datum
    1580         150 : multirange_lower(PG_FUNCTION_ARGS)
    1581             : {
    1582         150 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1583             :     TypeCacheEntry *typcache;
    1584             :     RangeBound  lower;
    1585             :     RangeBound  upper;
    1586             : 
    1587         150 :     if (MultirangeIsEmpty(mr))
    1588          24 :         PG_RETURN_NULL();
    1589             : 
    1590         126 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1591             : 
    1592         126 :     multirange_get_bounds(typcache->rngtype, mr, 0,
    1593             :                           &lower, &upper);
    1594             : 
    1595         126 :     if (!lower.infinite)
    1596         108 :         PG_RETURN_DATUM(lower.val);
    1597             :     else
    1598          18 :         PG_RETURN_NULL();
    1599             : }
    1600             : 
    1601             : /* extract upper bound value */
    1602             : Datum
    1603         138 : multirange_upper(PG_FUNCTION_ARGS)
    1604             : {
    1605         138 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1606             :     TypeCacheEntry *typcache;
    1607             :     RangeBound  lower;
    1608             :     RangeBound  upper;
    1609             : 
    1610         138 :     if (MultirangeIsEmpty(mr))
    1611          24 :         PG_RETURN_NULL();
    1612             : 
    1613         114 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1614             : 
    1615         114 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    1616             :                           &lower, &upper);
    1617             : 
    1618         114 :     if (!upper.infinite)
    1619          96 :         PG_RETURN_DATUM(upper.val);
    1620             :     else
    1621          18 :         PG_RETURN_NULL();
    1622             : }
    1623             : 
    1624             : 
    1625             : /* multirange -> bool functions */
    1626             : 
    1627             : /* is multirange empty? */
    1628             : Datum
    1629          66 : multirange_empty(PG_FUNCTION_ARGS)
    1630             : {
    1631          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1632             : 
    1633          66 :     PG_RETURN_BOOL(MultirangeIsEmpty(mr));
    1634             : }
    1635             : 
    1636             : /* is lower bound inclusive? */
    1637             : Datum
    1638          66 : multirange_lower_inc(PG_FUNCTION_ARGS)
    1639             : {
    1640          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1641             :     TypeCacheEntry *typcache;
    1642             :     RangeBound  lower;
    1643             :     RangeBound  upper;
    1644             : 
    1645          66 :     if (MultirangeIsEmpty(mr))
    1646          24 :         PG_RETURN_BOOL(false);
    1647             : 
    1648          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1649          42 :     multirange_get_bounds(typcache->rngtype, mr, 0,
    1650             :                           &lower, &upper);
    1651             : 
    1652          42 :     PG_RETURN_BOOL(lower.inclusive);
    1653             : }
    1654             : 
    1655             : /* is upper bound inclusive? */
    1656             : Datum
    1657          66 : multirange_upper_inc(PG_FUNCTION_ARGS)
    1658             : {
    1659          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1660             :     TypeCacheEntry *typcache;
    1661             :     RangeBound  lower;
    1662             :     RangeBound  upper;
    1663             : 
    1664          66 :     if (MultirangeIsEmpty(mr))
    1665          24 :         PG_RETURN_BOOL(false);
    1666             : 
    1667          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1668          42 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    1669             :                           &lower, &upper);
    1670             : 
    1671          42 :     PG_RETURN_BOOL(upper.inclusive);
    1672             : }
    1673             : 
    1674             : /* is lower bound infinite? */
    1675             : Datum
    1676          66 : multirange_lower_inf(PG_FUNCTION_ARGS)
    1677             : {
    1678          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1679             :     TypeCacheEntry *typcache;
    1680             :     RangeBound  lower;
    1681             :     RangeBound  upper;
    1682             : 
    1683          66 :     if (MultirangeIsEmpty(mr))
    1684          24 :         PG_RETURN_BOOL(false);
    1685             : 
    1686          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1687          42 :     multirange_get_bounds(typcache->rngtype, mr, 0,
    1688             :                           &lower, &upper);
    1689             : 
    1690          42 :     PG_RETURN_BOOL(lower.infinite);
    1691             : }
    1692             : 
    1693             : /* is upper bound infinite? */
    1694             : Datum
    1695          66 : multirange_upper_inf(PG_FUNCTION_ARGS)
    1696             : {
    1697          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1698             :     TypeCacheEntry *typcache;
    1699             :     RangeBound  lower;
    1700             :     RangeBound  upper;
    1701             : 
    1702          66 :     if (MultirangeIsEmpty(mr))
    1703          24 :         PG_RETURN_BOOL(false);
    1704             : 
    1705          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1706          42 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    1707             :                           &lower, &upper);
    1708             : 
    1709          42 :     PG_RETURN_BOOL(upper.infinite);
    1710             : }
    1711             : 
    1712             : 
    1713             : 
    1714             : /* multirange, element -> bool functions */
    1715             : 
    1716             : /* contains? */
    1717             : Datum
    1718       23340 : multirange_contains_elem(PG_FUNCTION_ARGS)
    1719             : {
    1720       23340 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1721       23340 :     Datum       val = PG_GETARG_DATUM(1);
    1722             :     TypeCacheEntry *typcache;
    1723             : 
    1724       23340 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1725             : 
    1726       23340 :     PG_RETURN_BOOL(multirange_contains_elem_internal(typcache->rngtype, mr, val));
    1727             : }
    1728             : 
    1729             : /* contained by? */
    1730             : Datum
    1731         144 : elem_contained_by_multirange(PG_FUNCTION_ARGS)
    1732             : {
    1733         144 :     Datum       val = PG_GETARG_DATUM(0);
    1734         144 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    1735             :     TypeCacheEntry *typcache;
    1736             : 
    1737         144 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1738             : 
    1739         144 :     PG_RETURN_BOOL(multirange_contains_elem_internal(typcache->rngtype, mr, val));
    1740             : }
    1741             : 
    1742             : /*
    1743             :  * Comparison function for checking if any range of multirange contains given
    1744             :  * key element using binary search.
    1745             :  */
    1746             : static int
    1747       32424 : multirange_elem_bsearch_comparison(TypeCacheEntry *typcache,
    1748             :                                    RangeBound *lower, RangeBound *upper,
    1749             :                                    void *key, bool *match)
    1750             : {
    1751       32424 :     Datum       val = *((Datum *) key);
    1752             :     int         cmp;
    1753             : 
    1754       32424 :     if (!lower->infinite)
    1755             :     {
    1756       31134 :         cmp = DatumGetInt32(FunctionCall2Coll(&typcache->rng_cmp_proc_finfo,
    1757             :                                               typcache->rng_collation,
    1758             :                                               lower->val, val));
    1759       31134 :         if (cmp > 0 || (cmp == 0 && !lower->inclusive))
    1760       30570 :             return -1;
    1761             :     }
    1762             : 
    1763        1854 :     if (!upper->infinite)
    1764             :     {
    1765        1728 :         cmp = DatumGetInt32(FunctionCall2Coll(&typcache->rng_cmp_proc_finfo,
    1766             :                                               typcache->rng_collation,
    1767             :                                               upper->val, val));
    1768        1728 :         if (cmp < 0 || (cmp == 0 && !upper->inclusive))
    1769         168 :             return 1;
    1770             :     }
    1771             : 
    1772        1686 :     *match = true;
    1773        1686 :     return 0;
    1774             : }
    1775             : 
    1776             : /*
    1777             :  * Test whether multirange mr contains a specific element value.
    1778             :  */
    1779             : bool
    1780       23484 : multirange_contains_elem_internal(TypeCacheEntry *rangetyp,
    1781             :                                   const MultirangeType *mr, Datum val)
    1782             : {
    1783       23484 :     if (MultirangeIsEmpty(mr))
    1784        3120 :         return false;
    1785             : 
    1786       20364 :     return multirange_bsearch_match(rangetyp, mr, &val,
    1787             :                                     multirange_elem_bsearch_comparison);
    1788             : }
    1789             : 
    1790             : /* multirange, range -> bool functions */
    1791             : 
    1792             : /* contains? */
    1793             : Datum
    1794       89754 : multirange_contains_range(PG_FUNCTION_ARGS)
    1795             : {
    1796       89754 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1797       89754 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    1798             :     TypeCacheEntry *typcache;
    1799             : 
    1800       89754 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1801             : 
    1802       89754 :     PG_RETURN_BOOL(multirange_contains_range_internal(typcache->rngtype, mr, r));
    1803             : }
    1804             : 
    1805             : Datum
    1806       74490 : range_contains_multirange(PG_FUNCTION_ARGS)
    1807             : {
    1808       74490 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    1809       74490 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    1810             :     TypeCacheEntry *typcache;
    1811             : 
    1812       74490 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1813             : 
    1814       74490 :     PG_RETURN_BOOL(range_contains_multirange_internal(typcache->rngtype, r, mr));
    1815             : }
    1816             : 
    1817             : /* contained by? */
    1818             : Datum
    1819       37654 : range_contained_by_multirange(PG_FUNCTION_ARGS)
    1820             : {
    1821       37654 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    1822       37654 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    1823             :     TypeCacheEntry *typcache;
    1824             : 
    1825       37654 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1826             : 
    1827       37654 :     PG_RETURN_BOOL(multirange_contains_range_internal(typcache->rngtype, mr, r));
    1828             : }
    1829             : 
    1830             : Datum
    1831       50490 : multirange_contained_by_range(PG_FUNCTION_ARGS)
    1832             : {
    1833       50490 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1834       50490 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    1835             :     TypeCacheEntry *typcache;
    1836             : 
    1837       50490 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1838             : 
    1839       50490 :     PG_RETURN_BOOL(range_contains_multirange_internal(typcache->rngtype, r, mr));
    1840             : }
    1841             : 
    1842             : /*
    1843             :  * Comparison function for checking if any range of multirange contains given
    1844             :  * key range using binary search.
    1845             :  */
    1846             : static int
    1847      119828 : multirange_range_contains_bsearch_comparison(TypeCacheEntry *typcache,
    1848             :                                              RangeBound *lower, RangeBound *upper,
    1849             :                                              void *key, bool *match)
    1850             : {
    1851      119828 :     RangeBound *keyLower = (RangeBound *) key;
    1852      119828 :     RangeBound *keyUpper = (RangeBound *) key + 1;
    1853             : 
    1854             :     /* Check if key range is strictly in the left or in the right */
    1855      119828 :     if (range_cmp_bounds(typcache, keyUpper, lower) < 0)
    1856       31776 :         return -1;
    1857       88052 :     if (range_cmp_bounds(typcache, keyLower, upper) > 0)
    1858       77746 :         return 1;
    1859             : 
    1860             :     /*
    1861             :      * At this point we found overlapping range.  But we have to check if it
    1862             :      * really contains the key range.  Anyway, we have to stop our search
    1863             :      * here, because multirange contains only non-overlapping ranges.
    1864             :      */
    1865       10306 :     *match = range_bounds_contains(typcache, lower, upper, keyLower, keyUpper);
    1866             : 
    1867       10306 :     return 0;
    1868             : }
    1869             : 
    1870             : /*
    1871             :  * Test whether multirange mr contains a specific range r.
    1872             :  */
    1873             : bool
    1874      160434 : multirange_contains_range_internal(TypeCacheEntry *rangetyp,
    1875             :                                    const MultirangeType *mr,
    1876             :                                    const RangeType *r)
    1877             : {
    1878             :     RangeBound  bounds[2];
    1879             :     bool        empty;
    1880             : 
    1881             :     /*
    1882             :      * Every multirange contains an infinite number of empty ranges, even an
    1883             :      * empty one.
    1884             :      */
    1885      160434 :     if (RangeIsEmpty(r))
    1886       90612 :         return true;
    1887             : 
    1888       69822 :     if (MultirangeIsEmpty(mr))
    1889        3096 :         return false;
    1890             : 
    1891       66726 :     range_deserialize(rangetyp, r, &bounds[0], &bounds[1], &empty);
    1892             :     Assert(!empty);
    1893             : 
    1894       66726 :     return multirange_bsearch_match(rangetyp, mr, bounds,
    1895             :                                     multirange_range_contains_bsearch_comparison);
    1896             : }
    1897             : 
    1898             : /*
    1899             :  * Test whether range r contains a multirange mr.
    1900             :  */
    1901             : bool
    1902      276968 : range_contains_multirange_internal(TypeCacheEntry *rangetyp,
    1903             :                                    const RangeType *r,
    1904             :                                    const MultirangeType *mr)
    1905             : {
    1906             :     RangeBound  lower1,
    1907             :                 upper1,
    1908             :                 lower2,
    1909             :                 upper2,
    1910             :                 tmp;
    1911             :     bool        empty;
    1912             : 
    1913             :     /*
    1914             :      * Every range contains an infinite number of empty multiranges, even an
    1915             :      * empty one.
    1916             :      */
    1917      276968 :     if (MultirangeIsEmpty(mr))
    1918      191048 :         return true;
    1919             : 
    1920       85920 :     if (RangeIsEmpty(r))
    1921       25272 :         return false;
    1922             : 
    1923             :     /* Range contains multirange iff it contains its union range. */
    1924       60648 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    1925             :     Assert(!empty);
    1926       60648 :     multirange_get_bounds(rangetyp, mr, 0, &lower2, &tmp);
    1927       60648 :     multirange_get_bounds(rangetyp, mr, mr->rangeCount - 1, &tmp, &upper2);
    1928             : 
    1929       60648 :     return range_bounds_contains(rangetyp, &lower1, &upper1, &lower2, &upper2);
    1930             : }
    1931             : 
    1932             : 
    1933             : /* multirange, multirange -> bool functions */
    1934             : 
    1935             : /* equality (internal version) */
    1936             : bool
    1937       47814 : multirange_eq_internal(TypeCacheEntry *rangetyp,
    1938             :                        const MultirangeType *mr1,
    1939             :                        const MultirangeType *mr2)
    1940             : {
    1941             :     int32       range_count_1;
    1942             :     int32       range_count_2;
    1943             :     int32       i;
    1944             :     RangeBound  lower1,
    1945             :                 upper1,
    1946             :                 lower2,
    1947             :                 upper2;
    1948             : 
    1949             :     /* Different types should be prevented by ANYMULTIRANGE matching rules */
    1950       47814 :     if (MultirangeTypeGetOid(mr1) != MultirangeTypeGetOid(mr2))
    1951           0 :         elog(ERROR, "multirange types do not match");
    1952             : 
    1953       47814 :     range_count_1 = mr1->rangeCount;
    1954       47814 :     range_count_2 = mr2->rangeCount;
    1955             : 
    1956       47814 :     if (range_count_1 != range_count_2)
    1957       29490 :         return false;
    1958             : 
    1959       18522 :     for (i = 0; i < range_count_1; i++)
    1960             :     {
    1961       12228 :         multirange_get_bounds(rangetyp, mr1, i, &lower1, &upper1);
    1962       12228 :         multirange_get_bounds(rangetyp, mr2, i, &lower2, &upper2);
    1963             : 
    1964       12444 :         if (range_cmp_bounds(rangetyp, &lower1, &lower2) != 0 ||
    1965         216 :             range_cmp_bounds(rangetyp, &upper1, &upper2) != 0)
    1966       12030 :             return false;
    1967             :     }
    1968             : 
    1969        6294 :     return true;
    1970             : }
    1971             : 
    1972             : /* equality */
    1973             : Datum
    1974       47682 : multirange_eq(PG_FUNCTION_ARGS)
    1975             : {
    1976       47682 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1977       47682 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1978             :     TypeCacheEntry *typcache;
    1979             : 
    1980       47682 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    1981             : 
    1982       47682 :     PG_RETURN_BOOL(multirange_eq_internal(typcache->rngtype, mr1, mr2));
    1983             : }
    1984             : 
    1985             : /* inequality (internal version) */
    1986             : bool
    1987         132 : multirange_ne_internal(TypeCacheEntry *rangetyp,
    1988             :                        const MultirangeType *mr1,
    1989             :                        const MultirangeType *mr2)
    1990             : {
    1991         132 :     return (!multirange_eq_internal(rangetyp, mr1, mr2));
    1992             : }
    1993             : 
    1994             : /* inequality */
    1995             : Datum
    1996         132 : multirange_ne(PG_FUNCTION_ARGS)
    1997             : {
    1998         132 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1999         132 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2000             :     TypeCacheEntry *typcache;
    2001             : 
    2002         132 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2003             : 
    2004         132 :     PG_RETURN_BOOL(multirange_ne_internal(typcache->rngtype, mr1, mr2));
    2005             : }
    2006             : 
    2007             : /* overlaps? */
    2008             : Datum
    2009       37344 : range_overlaps_multirange(PG_FUNCTION_ARGS)
    2010             : {
    2011       37344 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2012       37344 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2013             :     TypeCacheEntry *typcache;
    2014             : 
    2015       37344 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2016             : 
    2017       37344 :     PG_RETURN_BOOL(range_overlaps_multirange_internal(typcache->rngtype, r, mr));
    2018             : }
    2019             : 
    2020             : Datum
    2021       45390 : multirange_overlaps_range(PG_FUNCTION_ARGS)
    2022             : {
    2023       45390 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2024       45390 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2025             :     TypeCacheEntry *typcache;
    2026             : 
    2027       45390 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2028             : 
    2029       45390 :     PG_RETURN_BOOL(range_overlaps_multirange_internal(typcache->rngtype, r, mr));
    2030             : }
    2031             : 
    2032             : Datum
    2033       46554 : multirange_overlaps_multirange(PG_FUNCTION_ARGS)
    2034             : {
    2035       46554 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2036       46554 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2037             :     TypeCacheEntry *typcache;
    2038             : 
    2039       46554 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2040             : 
    2041       46554 :     PG_RETURN_BOOL(multirange_overlaps_multirange_internal(typcache->rngtype, mr1, mr2));
    2042             : }
    2043             : 
    2044             : /*
    2045             :  * Comparison function for checking if any range of multirange overlaps given
    2046             :  * key range using binary search.
    2047             :  */
    2048             : static int
    2049      125430 : multirange_range_overlaps_bsearch_comparison(TypeCacheEntry *typcache,
    2050             :                                              RangeBound *lower, RangeBound *upper,
    2051             :                                              void *key, bool *match)
    2052             : {
    2053      125430 :     RangeBound *keyLower = (RangeBound *) key;
    2054      125430 :     RangeBound *keyUpper = (RangeBound *) key + 1;
    2055             : 
    2056      125430 :     if (range_cmp_bounds(typcache, keyUpper, lower) < 0)
    2057       31892 :         return -1;
    2058       93538 :     if (range_cmp_bounds(typcache, keyLower, upper) > 0)
    2059       83308 :         return 1;
    2060             : 
    2061       10230 :     *match = true;
    2062       10230 :     return 0;
    2063             : }
    2064             : 
    2065             : bool
    2066      102228 : range_overlaps_multirange_internal(TypeCacheEntry *rangetyp,
    2067             :                                    const RangeType *r,
    2068             :                                    const MultirangeType *mr)
    2069             : {
    2070             :     RangeBound  bounds[2];
    2071             :     bool        empty;
    2072             : 
    2073             :     /*
    2074             :      * Empties never overlap, even with empties. (This seems strange since
    2075             :      * they *do* contain each other, but we want to follow how ranges work.)
    2076             :      */
    2077      102228 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2078       31708 :         return false;
    2079             : 
    2080       70520 :     range_deserialize(rangetyp, r, &bounds[0], &bounds[1], &empty);
    2081             :     Assert(!empty);
    2082             : 
    2083       70520 :     return multirange_bsearch_match(rangetyp, mr, bounds,
    2084             :                                     multirange_range_overlaps_bsearch_comparison);
    2085             : }
    2086             : 
    2087             : bool
    2088       46554 : multirange_overlaps_multirange_internal(TypeCacheEntry *rangetyp,
    2089             :                                         const MultirangeType *mr1,
    2090             :                                         const MultirangeType *mr2)
    2091             : {
    2092             :     int32       range_count1;
    2093             :     int32       range_count2;
    2094             :     int32       i1;
    2095             :     int32       i2;
    2096             :     RangeBound  lower1,
    2097             :                 upper1,
    2098             :                 lower2,
    2099             :                 upper2;
    2100             : 
    2101             :     /*
    2102             :      * Empties never overlap, even with empties. (This seems strange since
    2103             :      * they *do* contain each other, but we want to follow how ranges work.)
    2104             :      */
    2105       46554 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2106       25314 :         return false;
    2107             : 
    2108       21240 :     range_count1 = mr1->rangeCount;
    2109       21240 :     range_count2 = mr2->rangeCount;
    2110             : 
    2111             :     /*
    2112             :      * Every range in mr1 gets a chance to overlap with the ranges in mr2, but
    2113             :      * we can use their ordering to avoid O(n^2). This is similar to
    2114             :      * range_overlaps_multirange where r1 : r2 :: mrr : r, but there if we
    2115             :      * don't find an overlap with r we're done, and here if we don't find an
    2116             :      * overlap with r2 we try the next r2.
    2117             :      */
    2118       21240 :     i1 = 0;
    2119       21240 :     multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2120       76452 :     for (i1 = 0, i2 = 0; i2 < range_count2; i2++)
    2121             :     {
    2122       58536 :         multirange_get_bounds(rangetyp, mr2, i2, &lower2, &upper2);
    2123             : 
    2124             :         /* Discard r1s while r1 << r2 */
    2125       58668 :         while (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0)
    2126             :         {
    2127         234 :             if (++i1 >= range_count1)
    2128         102 :                 return false;
    2129         132 :             multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2130             :         }
    2131             : 
    2132             :         /*
    2133             :          * If r1 && r2, we're done, otherwise we failed to find an overlap for
    2134             :          * r2, so go to the next one.
    2135             :          */
    2136       58434 :         if (range_bounds_overlaps(rangetyp, &lower1, &upper1, &lower2, &upper2))
    2137        3222 :             return true;
    2138             :     }
    2139             : 
    2140             :     /* We looked through all of mr2 without finding an overlap */
    2141       17916 :     return false;
    2142             : }
    2143             : 
    2144             : /* does not extend to right of? */
    2145             : bool
    2146       73102 : range_overleft_multirange_internal(TypeCacheEntry *rangetyp,
    2147             :                                    const RangeType *r,
    2148             :                                    const MultirangeType *mr)
    2149             : {
    2150             :     RangeBound  lower1,
    2151             :                 upper1,
    2152             :                 lower2,
    2153             :                 upper2;
    2154             :     bool        empty;
    2155             : 
    2156       73102 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2157        6012 :         return false;
    2158             : 
    2159       67090 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2160             :     Assert(!empty);
    2161       67090 :     multirange_get_bounds(rangetyp, mr, mr->rangeCount - 1,
    2162             :                           &lower2, &upper2);
    2163             : 
    2164       67090 :     return (range_cmp_bounds(rangetyp, &upper1, &upper2) <= 0);
    2165             : }
    2166             : 
    2167             : Datum
    2168       37242 : range_overleft_multirange(PG_FUNCTION_ARGS)
    2169             : {
    2170       37242 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2171       37242 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2172             :     TypeCacheEntry *typcache;
    2173             : 
    2174       37242 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2175             : 
    2176       37242 :     PG_RETURN_BOOL(range_overleft_multirange_internal(typcache->rngtype, r, mr));
    2177             : }
    2178             : 
    2179             : Datum
    2180       47286 : multirange_overleft_range(PG_FUNCTION_ARGS)
    2181             : {
    2182       47286 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2183       47286 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2184             :     TypeCacheEntry *typcache;
    2185             :     RangeBound  lower1,
    2186             :                 upper1,
    2187             :                 lower2,
    2188             :                 upper2;
    2189             :     bool        empty;
    2190             : 
    2191       47286 :     if (MultirangeIsEmpty(mr) || RangeIsEmpty(r))
    2192       25212 :         PG_RETURN_BOOL(false);
    2193             : 
    2194       22074 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2195             : 
    2196       22074 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    2197             :                           &lower1, &upper1);
    2198       22074 :     range_deserialize(typcache->rngtype, r, &lower2, &upper2, &empty);
    2199             :     Assert(!empty);
    2200             : 
    2201       22074 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &upper1, &upper2) <= 0);
    2202             : }
    2203             : 
    2204             : Datum
    2205       47292 : multirange_overleft_multirange(PG_FUNCTION_ARGS)
    2206             : {
    2207       47292 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2208       47292 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2209             :     TypeCacheEntry *typcache;
    2210             :     RangeBound  lower1,
    2211             :                 upper1,
    2212             :                 lower2,
    2213             :                 upper2;
    2214             : 
    2215       47292 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2216       25218 :         PG_RETURN_BOOL(false);
    2217             : 
    2218       22074 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2219             : 
    2220       22074 :     multirange_get_bounds(typcache->rngtype, mr1, mr1->rangeCount - 1,
    2221             :                           &lower1, &upper1);
    2222       22074 :     multirange_get_bounds(typcache->rngtype, mr2, mr2->rangeCount - 1,
    2223             :                           &lower2, &upper2);
    2224             : 
    2225       22074 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &upper1, &upper2) <= 0);
    2226             : }
    2227             : 
    2228             : /* does not extend to left of? */
    2229             : bool
    2230      119302 : range_overright_multirange_internal(TypeCacheEntry *rangetyp,
    2231             :                                     const RangeType *r,
    2232             :                                     const MultirangeType *mr)
    2233             : {
    2234             :     RangeBound  lower1,
    2235             :                 upper1,
    2236             :                 lower2,
    2237             :                 upper2;
    2238             :     bool        empty;
    2239             : 
    2240      119302 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2241        6012 :         return false;
    2242             : 
    2243      113290 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2244             :     Assert(!empty);
    2245      113290 :     multirange_get_bounds(rangetyp, mr, 0, &lower2, &upper2);
    2246             : 
    2247      113290 :     return (range_cmp_bounds(rangetyp, &lower1, &lower2) >= 0);
    2248             : }
    2249             : 
    2250             : Datum
    2251       37242 : range_overright_multirange(PG_FUNCTION_ARGS)
    2252             : {
    2253       37242 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2254       37242 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2255             :     TypeCacheEntry *typcache;
    2256             : 
    2257       37242 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2258             : 
    2259       37242 :     PG_RETURN_BOOL(range_overright_multirange_internal(typcache->rngtype, r, mr));
    2260             : }
    2261             : 
    2262             : Datum
    2263       61800 : multirange_overright_range(PG_FUNCTION_ARGS)
    2264             : {
    2265       61800 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2266       61800 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2267             :     TypeCacheEntry *typcache;
    2268             :     RangeBound  lower1,
    2269             :                 upper1,
    2270             :                 lower2,
    2271             :                 upper2;
    2272             :     bool        empty;
    2273             : 
    2274       61800 :     if (MultirangeIsEmpty(mr) || RangeIsEmpty(r))
    2275       25212 :         PG_RETURN_BOOL(false);
    2276             : 
    2277       36588 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2278             : 
    2279       36588 :     multirange_get_bounds(typcache->rngtype, mr, 0, &lower1, &upper1);
    2280       36588 :     range_deserialize(typcache->rngtype, r, &lower2, &upper2, &empty);
    2281             :     Assert(!empty);
    2282             : 
    2283       36588 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &lower1, &lower2) >= 0);
    2284             : }
    2285             : 
    2286             : Datum
    2287       61806 : multirange_overright_multirange(PG_FUNCTION_ARGS)
    2288             : {
    2289       61806 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2290       61806 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2291             :     TypeCacheEntry *typcache;
    2292             :     RangeBound  lower1,
    2293             :                 upper1,
    2294             :                 lower2,
    2295             :                 upper2;
    2296             : 
    2297       61806 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2298       25218 :         PG_RETURN_BOOL(false);
    2299             : 
    2300       36588 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2301             : 
    2302       36588 :     multirange_get_bounds(typcache->rngtype, mr1, 0, &lower1, &upper1);
    2303       36588 :     multirange_get_bounds(typcache->rngtype, mr2, 0, &lower2, &upper2);
    2304             : 
    2305       36588 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &lower1, &lower2) >= 0);
    2306             : }
    2307             : 
    2308             : /* contains? */
    2309             : Datum
    2310      156312 : multirange_contains_multirange(PG_FUNCTION_ARGS)
    2311             : {
    2312      156312 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2313      156312 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2314             :     TypeCacheEntry *typcache;
    2315             : 
    2316      156312 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2317             : 
    2318      156312 :     PG_RETURN_BOOL(multirange_contains_multirange_internal(typcache->rngtype, mr1, mr2));
    2319             : }
    2320             : 
    2321             : /* contained by? */
    2322             : Datum
    2323       50808 : multirange_contained_by_multirange(PG_FUNCTION_ARGS)
    2324             : {
    2325       50808 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2326       50808 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2327             :     TypeCacheEntry *typcache;
    2328             : 
    2329       50808 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2330             : 
    2331       50808 :     PG_RETURN_BOOL(multirange_contains_multirange_internal(typcache->rngtype, mr2, mr1));
    2332             : }
    2333             : 
    2334             : /*
    2335             :  * Test whether multirange mr1 contains every range from another multirange mr2.
    2336             :  */
    2337             : bool
    2338      207120 : multirange_contains_multirange_internal(TypeCacheEntry *rangetyp,
    2339             :                                         const MultirangeType *mr1,
    2340             :                                         const MultirangeType *mr2)
    2341             : {
    2342      207120 :     int32       range_count1 = mr1->rangeCount;
    2343      207120 :     int32       range_count2 = mr2->rangeCount;
    2344             :     int         i1,
    2345             :                 i2;
    2346             :     RangeBound  lower1,
    2347             :                 upper1,
    2348             :                 lower2,
    2349             :                 upper2;
    2350             : 
    2351             :     /*
    2352             :      * We follow the same logic for empties as ranges: - an empty multirange
    2353             :      * contains an empty range/multirange. - an empty multirange can't contain
    2354             :      * any other range/multirange. - an empty multirange is contained by any
    2355             :      * other range/multirange.
    2356             :      */
    2357             : 
    2358      207120 :     if (range_count2 == 0)
    2359      145212 :         return true;
    2360       61908 :     if (range_count1 == 0)
    2361       22296 :         return false;
    2362             : 
    2363             :     /*
    2364             :      * Every range in mr2 must be contained by some range in mr1. To avoid
    2365             :      * O(n^2) we walk through both ranges in tandem.
    2366             :      */
    2367       39612 :     i1 = 0;
    2368       39612 :     multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2369       42900 :     for (i2 = 0; i2 < range_count2; i2++)
    2370             :     {
    2371       41250 :         multirange_get_bounds(rangetyp, mr2, i2, &lower2, &upper2);
    2372             : 
    2373             :         /* Discard r1s while r1 << r2 */
    2374       77544 :         while (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0)
    2375             :         {
    2376       53940 :             if (++i1 >= range_count1)
    2377       17646 :                 return false;
    2378       36294 :             multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2379             :         }
    2380             : 
    2381             :         /*
    2382             :          * If r1 @> r2, go to the next r2, otherwise return false (since every
    2383             :          * r1[n] and r1[n+1] must have a gap). Note this will give weird
    2384             :          * answers if you don't canonicalize, e.g. with a custom
    2385             :          * int2multirange {[1,1], [2,2]} there is a "gap". But that is
    2386             :          * consistent with other range operators, e.g. '[1,1]'::int2range -|-
    2387             :          * '[2,2]'::int2range is false.
    2388             :          */
    2389       23604 :         if (!range_bounds_contains(rangetyp, &lower1, &upper1,
    2390             :                                    &lower2, &upper2))
    2391       20316 :             return false;
    2392             :     }
    2393             : 
    2394             :     /* All ranges in mr2 are satisfied */
    2395        1650 :     return true;
    2396             : }
    2397             : 
    2398             : /* strictly left of? */
    2399             : Datum
    2400       37230 : range_before_multirange(PG_FUNCTION_ARGS)
    2401             : {
    2402       37230 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2403       37230 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2404             :     TypeCacheEntry *typcache;
    2405             : 
    2406       37230 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2407             : 
    2408       37230 :     PG_RETURN_BOOL(range_before_multirange_internal(typcache->rngtype, r, mr));
    2409             : }
    2410             : 
    2411             : Datum
    2412       44760 : multirange_before_range(PG_FUNCTION_ARGS)
    2413             : {
    2414       44760 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2415       44760 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2416             :     TypeCacheEntry *typcache;
    2417             : 
    2418       44760 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2419             : 
    2420       44760 :     PG_RETURN_BOOL(range_after_multirange_internal(typcache->rngtype, r, mr));
    2421             : }
    2422             : 
    2423             : Datum
    2424       44766 : multirange_before_multirange(PG_FUNCTION_ARGS)
    2425             : {
    2426       44766 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2427       44766 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2428             :     TypeCacheEntry *typcache;
    2429             : 
    2430       44766 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2431             : 
    2432       44766 :     PG_RETURN_BOOL(multirange_before_multirange_internal(typcache->rngtype, mr1, mr2));
    2433             : }
    2434             : 
    2435             : /* strictly right of? */
    2436             : Datum
    2437       37236 : range_after_multirange(PG_FUNCTION_ARGS)
    2438             : {
    2439       37236 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2440       37236 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2441             :     TypeCacheEntry *typcache;
    2442             : 
    2443       37236 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2444             : 
    2445       37236 :     PG_RETURN_BOOL(range_after_multirange_internal(typcache->rngtype, r, mr));
    2446             : }
    2447             : 
    2448             : Datum
    2449       56748 : multirange_after_range(PG_FUNCTION_ARGS)
    2450             : {
    2451       56748 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2452       56748 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2453             :     TypeCacheEntry *typcache;
    2454             : 
    2455       56748 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2456             : 
    2457       56748 :     PG_RETURN_BOOL(range_before_multirange_internal(typcache->rngtype, r, mr));
    2458             : }
    2459             : 
    2460             : Datum
    2461       56760 : multirange_after_multirange(PG_FUNCTION_ARGS)
    2462             : {
    2463       56760 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2464       56760 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2465             :     TypeCacheEntry *typcache;
    2466             : 
    2467       56760 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2468             : 
    2469       56760 :     PG_RETURN_BOOL(multirange_before_multirange_internal(typcache->rngtype, mr2, mr1));
    2470             : }
    2471             : 
    2472             : /* strictly left of? (internal version) */
    2473             : bool
    2474      110040 : range_before_multirange_internal(TypeCacheEntry *rangetyp,
    2475             :                                  const RangeType *r,
    2476             :                                  const MultirangeType *mr)
    2477             : {
    2478             :     RangeBound  lower1,
    2479             :                 upper1,
    2480             :                 lower2,
    2481             :                 upper2;
    2482             :     bool        empty;
    2483             : 
    2484      110040 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2485       31224 :         return false;
    2486             : 
    2487       78816 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2488             :     Assert(!empty);
    2489             : 
    2490       78816 :     multirange_get_bounds(rangetyp, mr, 0, &lower2, &upper2);
    2491             : 
    2492       78816 :     return (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0);
    2493             : }
    2494             : 
    2495             : bool
    2496      101526 : multirange_before_multirange_internal(TypeCacheEntry *rangetyp,
    2497             :                                       const MultirangeType *mr1,
    2498             :                                       const MultirangeType *mr2)
    2499             : {
    2500             :     RangeBound  lower1,
    2501             :                 upper1,
    2502             :                 lower2,
    2503             :                 upper2;
    2504             : 
    2505      101526 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2506       50436 :         return false;
    2507             : 
    2508       51090 :     multirange_get_bounds(rangetyp, mr1, mr1->rangeCount - 1,
    2509             :                           &lower1, &upper1);
    2510       51090 :     multirange_get_bounds(rangetyp, mr2, 0,
    2511             :                           &lower2, &upper2);
    2512             : 
    2513       51090 :     return (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0);
    2514             : }
    2515             : 
    2516             : /* strictly right of? (internal version) */
    2517             : bool
    2518      158868 : range_after_multirange_internal(TypeCacheEntry *rangetyp,
    2519             :                                 const RangeType *r,
    2520             :                                 const MultirangeType *mr)
    2521             : {
    2522             :     RangeBound  lower1,
    2523             :                 upper1,
    2524             :                 lower2,
    2525             :                 upper2;
    2526             :     bool        empty;
    2527             :     int32       range_count;
    2528             : 
    2529      158868 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2530       31224 :         return false;
    2531             : 
    2532      127644 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2533             :     Assert(!empty);
    2534             : 
    2535      127644 :     range_count = mr->rangeCount;
    2536      127644 :     multirange_get_bounds(rangetyp, mr, range_count - 1,
    2537             :                           &lower2, &upper2);
    2538             : 
    2539      127644 :     return (range_cmp_bounds(rangetyp, &lower1, &upper2) > 0);
    2540             : }
    2541             : 
    2542             : bool
    2543       92314 : range_adjacent_multirange_internal(TypeCacheEntry *rangetyp,
    2544             :                                    const RangeType *r,
    2545             :                                    const MultirangeType *mr)
    2546             : {
    2547             :     RangeBound  lower1,
    2548             :                 upper1,
    2549             :                 lower2,
    2550             :                 upper2;
    2551             :     bool        empty;
    2552             :     int32       range_count;
    2553             : 
    2554       92314 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2555        6012 :         return false;
    2556             : 
    2557       86302 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2558             :     Assert(!empty);
    2559             : 
    2560       86302 :     range_count = mr->rangeCount;
    2561       86302 :     multirange_get_bounds(rangetyp, mr, 0,
    2562             :                           &lower2, &upper2);
    2563             : 
    2564       86302 :     if (bounds_adjacent(rangetyp, upper1, lower2))
    2565          72 :         return true;
    2566             : 
    2567       86230 :     if (range_count > 1)
    2568       79018 :         multirange_get_bounds(rangetyp, mr, range_count - 1,
    2569             :                               &lower2, &upper2);
    2570             : 
    2571       86230 :     if (bounds_adjacent(rangetyp, upper2, lower1))
    2572          84 :         return true;
    2573             : 
    2574       86146 :     return false;
    2575             : }
    2576             : 
    2577             : /* adjacent to? */
    2578             : Datum
    2579       37224 : range_adjacent_multirange(PG_FUNCTION_ARGS)
    2580             : {
    2581       37224 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2582       37224 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2583             :     TypeCacheEntry *typcache;
    2584             : 
    2585       37224 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2586             : 
    2587       37224 :     PG_RETURN_BOOL(range_adjacent_multirange_internal(typcache->rngtype, r, mr));
    2588             : }
    2589             : 
    2590             : Datum
    2591       44442 : multirange_adjacent_range(PG_FUNCTION_ARGS)
    2592             : {
    2593       44442 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2594       44442 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2595             :     TypeCacheEntry *typcache;
    2596             : 
    2597       44442 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2598       25212 :         PG_RETURN_BOOL(false);
    2599             : 
    2600       19230 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2601             : 
    2602       19230 :     PG_RETURN_BOOL(range_adjacent_multirange_internal(typcache->rngtype, r, mr));
    2603             : }
    2604             : 
    2605             : Datum
    2606       44472 : multirange_adjacent_multirange(PG_FUNCTION_ARGS)
    2607             : {
    2608       44472 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2609       44472 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2610             :     TypeCacheEntry *typcache;
    2611             :     int32       range_count1;
    2612             :     int32       range_count2;
    2613             :     RangeBound  lower1,
    2614             :                 upper1,
    2615             :                 lower2,
    2616             :                 upper2;
    2617             : 
    2618       44472 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2619       25218 :         PG_RETURN_BOOL(false);
    2620             : 
    2621       19254 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2622             : 
    2623       19254 :     range_count1 = mr1->rangeCount;
    2624       19254 :     range_count2 = mr2->rangeCount;
    2625       19254 :     multirange_get_bounds(typcache->rngtype, mr1, range_count1 - 1,
    2626             :                           &lower1, &upper1);
    2627       19254 :     multirange_get_bounds(typcache->rngtype, mr2, 0,
    2628             :                           &lower2, &upper2);
    2629       19254 :     if (bounds_adjacent(typcache->rngtype, upper1, lower2))
    2630          30 :         PG_RETURN_BOOL(true);
    2631             : 
    2632       19224 :     if (range_count1 > 1)
    2633       12012 :         multirange_get_bounds(typcache->rngtype, mr1, 0,
    2634             :                               &lower1, &upper1);
    2635       19224 :     if (range_count2 > 1)
    2636       19206 :         multirange_get_bounds(typcache->rngtype, mr2, range_count2 - 1,
    2637             :                               &lower2, &upper2);
    2638       19224 :     if (bounds_adjacent(typcache->rngtype, upper2, lower1))
    2639          24 :         PG_RETURN_BOOL(true);
    2640       19200 :     PG_RETURN_BOOL(false);
    2641             : }
    2642             : 
    2643             : /* Btree support */
    2644             : 
    2645             : /* btree comparator */
    2646             : Datum
    2647         918 : multirange_cmp(PG_FUNCTION_ARGS)
    2648             : {
    2649         918 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2650         918 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2651             :     int32       range_count_1;
    2652             :     int32       range_count_2;
    2653             :     int32       range_count_max;
    2654             :     int32       i;
    2655             :     TypeCacheEntry *typcache;
    2656         918 :     int         cmp = 0;        /* If both are empty we'll use this. */
    2657             : 
    2658             :     /* Different types should be prevented by ANYMULTIRANGE matching rules */
    2659         918 :     if (MultirangeTypeGetOid(mr1) != MultirangeTypeGetOid(mr2))
    2660           0 :         elog(ERROR, "multirange types do not match");
    2661             : 
    2662         918 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2663             : 
    2664         918 :     range_count_1 = mr1->rangeCount;
    2665         918 :     range_count_2 = mr2->rangeCount;
    2666             : 
    2667             :     /* Loop over source data */
    2668         918 :     range_count_max = Max(range_count_1, range_count_2);
    2669         984 :     for (i = 0; i < range_count_max; i++)
    2670             :     {
    2671             :         RangeBound  lower1,
    2672             :                     upper1,
    2673             :                     lower2,
    2674             :                     upper2;
    2675             : 
    2676             :         /*
    2677             :          * If one multirange is shorter, it's as if it had empty ranges at the
    2678             :          * end to extend its length. An empty range compares earlier than any
    2679             :          * other range, so the shorter multirange comes before the longer.
    2680             :          * This is the same behavior as in other types, e.g. in strings 'aaa'
    2681             :          * < 'aaaaaa'.
    2682             :          */
    2683         798 :         if (i >= range_count_1)
    2684             :         {
    2685         120 :             cmp = -1;
    2686         732 :             break;
    2687             :         }
    2688         678 :         if (i >= range_count_2)
    2689             :         {
    2690         168 :             cmp = 1;
    2691         168 :             break;
    2692             :         }
    2693             : 
    2694         510 :         multirange_get_bounds(typcache->rngtype, mr1, i, &lower1, &upper1);
    2695         510 :         multirange_get_bounds(typcache->rngtype, mr2, i, &lower2, &upper2);
    2696             : 
    2697         510 :         cmp = range_cmp_bounds(typcache->rngtype, &lower1, &lower2);
    2698         510 :         if (cmp == 0)
    2699          90 :             cmp = range_cmp_bounds(typcache->rngtype, &upper1, &upper2);
    2700         510 :         if (cmp != 0)
    2701         444 :             break;
    2702             :     }
    2703             : 
    2704         918 :     PG_FREE_IF_COPY(mr1, 0);
    2705         918 :     PG_FREE_IF_COPY(mr2, 1);
    2706             : 
    2707         918 :     PG_RETURN_INT32(cmp);
    2708             : }
    2709             : 
    2710             : /* inequality operators using the multirange_cmp function */
    2711             : Datum
    2712         168 : multirange_lt(PG_FUNCTION_ARGS)
    2713             : {
    2714         168 :     int         cmp = DatumGetInt32(multirange_cmp(fcinfo));
    2715             : 
    2716         168 :     PG_RETURN_BOOL(cmp < 0);
    2717             : }
    2718             : 
    2719             : Datum
    2720          96 : multirange_le(PG_FUNCTION_ARGS)
    2721             : {
    2722          96 :     int         cmp = DatumGetInt32(multirange_cmp(fcinfo));
    2723             : 
    2724          96 :     PG_RETURN_BOOL(cmp <= 0);
    2725             : }
    2726             : 
    2727             : Datum
    2728          72 : multirange_ge(PG_FUNCTION_ARGS)
    2729             : {
    2730          72 :     int         cmp = DatumGetInt32(multirange_cmp(fcinfo));
    2731             : 
    2732          72 :     PG_RETURN_BOOL(cmp >= 0);
    2733             : }
    2734             : 
    2735             : Datum
    2736         114 : multirange_gt(PG_FUNCTION_ARGS)
    2737             : {
    2738         114 :     int         cmp = DatumGetInt32(multirange_cmp(fcinfo));
    2739             : 
    2740         114 :     PG_RETURN_BOOL(cmp > 0);
    2741             : }
    2742             : 
    2743             : /* multirange -> range functions */
    2744             : 
    2745             : /* Find the smallest range that includes everything in the multirange */
    2746             : Datum
    2747          36 : range_merge_from_multirange(PG_FUNCTION_ARGS)
    2748             : {
    2749          36 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2750          36 :     Oid         mltrngtypoid = MultirangeTypeGetOid(mr);
    2751             :     TypeCacheEntry *typcache;
    2752             :     RangeType  *result;
    2753             : 
    2754          36 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    2755             : 
    2756          36 :     if (MultirangeIsEmpty(mr))
    2757             :     {
    2758           6 :         result = make_empty_range(typcache->rngtype);
    2759             :     }
    2760          30 :     else if (mr->rangeCount == 1)
    2761             :     {
    2762          12 :         result = multirange_get_range(typcache->rngtype, mr, 0);
    2763             :     }
    2764             :     else
    2765             :     {
    2766             :         RangeBound  firstLower,
    2767             :                     firstUpper,
    2768             :                     lastLower,
    2769             :                     lastUpper;
    2770             : 
    2771          18 :         multirange_get_bounds(typcache->rngtype, mr, 0,
    2772             :                               &firstLower, &firstUpper);
    2773          18 :         multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    2774             :                               &lastLower, &lastUpper);
    2775             : 
    2776          18 :         result = make_range(typcache->rngtype, &firstLower, &lastUpper,
    2777             :                             false, NULL);
    2778             :     }
    2779             : 
    2780          36 :     PG_RETURN_RANGE_P(result);
    2781             : }
    2782             : 
    2783             : /* Turn multirange into a set of ranges */
    2784             : Datum
    2785          72 : multirange_unnest(PG_FUNCTION_ARGS)
    2786             : {
    2787             :     typedef struct
    2788             :     {
    2789             :         MultirangeType *mr;
    2790             :         TypeCacheEntry *typcache;
    2791             :         int         index;
    2792             :     } multirange_unnest_fctx;
    2793             : 
    2794             :     FuncCallContext *funcctx;
    2795             :     multirange_unnest_fctx *fctx;
    2796             :     MemoryContext oldcontext;
    2797             : 
    2798             :     /* stuff done only on the first call of the function */
    2799          72 :     if (SRF_IS_FIRSTCALL())
    2800             :     {
    2801             :         MultirangeType *mr;
    2802             : 
    2803             :         /* create a function context for cross-call persistence */
    2804          24 :         funcctx = SRF_FIRSTCALL_INIT();
    2805             : 
    2806             :         /*
    2807             :          * switch to memory context appropriate for multiple function calls
    2808             :          */
    2809          24 :         oldcontext = MemoryContextSwitchTo(funcctx->multi_call_memory_ctx);
    2810             : 
    2811             :         /*
    2812             :          * Get the multirange value and detoast if needed.  We can't do this
    2813             :          * earlier because if we have to detoast, we want the detoasted copy
    2814             :          * to be in multi_call_memory_ctx, so it will go away when we're done
    2815             :          * and not before.  (If no detoast happens, we assume the originally
    2816             :          * passed multirange will stick around till then.)
    2817             :          */
    2818          24 :         mr = PG_GETARG_MULTIRANGE_P(0);
    2819             : 
    2820             :         /* allocate memory for user context */
    2821          24 :         fctx = (multirange_unnest_fctx *) palloc(sizeof(multirange_unnest_fctx));
    2822             : 
    2823             :         /* initialize state */
    2824          24 :         fctx->mr = mr;
    2825          24 :         fctx->index = 0;
    2826          24 :         fctx->typcache = lookup_type_cache(MultirangeTypeGetOid(mr),
    2827             :                                            TYPECACHE_MULTIRANGE_INFO);
    2828             : 
    2829          24 :         funcctx->user_fctx = fctx;
    2830          24 :         MemoryContextSwitchTo(oldcontext);
    2831             :     }
    2832             : 
    2833             :     /* stuff done on every call of the function */
    2834          72 :     funcctx = SRF_PERCALL_SETUP();
    2835          72 :     fctx = funcctx->user_fctx;
    2836             : 
    2837          72 :     if (fctx->index < fctx->mr->rangeCount)
    2838             :     {
    2839             :         RangeType  *range;
    2840             : 
    2841          48 :         range = multirange_get_range(fctx->typcache->rngtype,
    2842          48 :                                      fctx->mr,
    2843             :                                      fctx->index);
    2844          48 :         fctx->index++;
    2845             : 
    2846          48 :         SRF_RETURN_NEXT(funcctx, RangeTypePGetDatum(range));
    2847             :     }
    2848             :     else
    2849             :     {
    2850             :         /* do when there is no more left */
    2851          24 :         SRF_RETURN_DONE(funcctx);
    2852             :     }
    2853             : }
    2854             : 
    2855             : /* Hash support */
    2856             : 
    2857             : /* hash a multirange value */
    2858             : Datum
    2859         336 : hash_multirange(PG_FUNCTION_ARGS)
    2860             : {
    2861         336 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2862         336 :     uint32      result = 1;
    2863             :     TypeCacheEntry *typcache,
    2864             :                *scache;
    2865             :     int32       range_count,
    2866             :                 i;
    2867             : 
    2868         336 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2869         336 :     scache = typcache->rngtype->rngelemtype;
    2870         336 :     if (!OidIsValid(scache->hash_proc_finfo.fn_oid))
    2871             :     {
    2872           6 :         scache = lookup_type_cache(scache->type_id,
    2873             :                                    TYPECACHE_HASH_PROC_FINFO);
    2874           6 :         if (!OidIsValid(scache->hash_proc_finfo.fn_oid))
    2875           0 :             ereport(ERROR,
    2876             :                     (errcode(ERRCODE_UNDEFINED_FUNCTION),
    2877             :                      errmsg("could not identify a hash function for type %s",
    2878             :                             format_type_be(scache->type_id))));
    2879             :     }
    2880             : 
    2881         336 :     range_count = mr->rangeCount;
    2882         600 :     for (i = 0; i < range_count; i++)
    2883             :     {
    2884             :         RangeBound  lower,
    2885             :                     upper;
    2886         264 :         uint8       flags = MultirangeGetFlagsPtr(mr)[i];
    2887             :         uint32      lower_hash;
    2888             :         uint32      upper_hash;
    2889             :         uint32      range_hash;
    2890             : 
    2891         264 :         multirange_get_bounds(typcache->rngtype, mr, i, &lower, &upper);
    2892             : 
    2893         264 :         if (RANGE_HAS_LBOUND(flags))
    2894         198 :             lower_hash = DatumGetUInt32(FunctionCall1Coll(&scache->hash_proc_finfo,
    2895         198 :                                                           typcache->rngtype->rng_collation,
    2896             :                                                           lower.val));
    2897             :         else
    2898          66 :             lower_hash = 0;
    2899             : 
    2900         264 :         if (RANGE_HAS_UBOUND(flags))
    2901         210 :             upper_hash = DatumGetUInt32(FunctionCall1Coll(&scache->hash_proc_finfo,
    2902         210 :                                                           typcache->rngtype->rng_collation,
    2903             :                                                           upper.val));
    2904             :         else
    2905          54 :             upper_hash = 0;
    2906             : 
    2907             :         /* Merge hashes of flags and bounds */
    2908         264 :         range_hash = hash_bytes_uint32((uint32) flags);
    2909         264 :         range_hash ^= lower_hash;
    2910         264 :         range_hash = pg_rotate_left32(range_hash, 1);
    2911         264 :         range_hash ^= upper_hash;
    2912             : 
    2913             :         /*
    2914             :          * Use the same approach as hash_array to combine the individual
    2915             :          * elements' hash values:
    2916             :          */
    2917         264 :         result = (result << 5) - result + range_hash;
    2918             :     }
    2919             : 
    2920         336 :     PG_FREE_IF_COPY(mr, 0);
    2921             : 
    2922         336 :     PG_RETURN_UINT32(result);
    2923             : }
    2924             : 
    2925             : /*
    2926             :  * Returns 64-bit value by hashing a value to a 64-bit value, with a seed.
    2927             :  * Otherwise, similar to hash_multirange.
    2928             :  */
    2929             : Datum
    2930          60 : hash_multirange_extended(PG_FUNCTION_ARGS)
    2931             : {
    2932          60 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2933          60 :     Datum       seed = PG_GETARG_DATUM(1);
    2934          60 :     uint64      result = 1;
    2935             :     TypeCacheEntry *typcache,
    2936             :                *scache;
    2937             :     int32       range_count,
    2938             :                 i;
    2939             : 
    2940          60 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2941          60 :     scache = typcache->rngtype->rngelemtype;
    2942          60 :     if (!OidIsValid(scache->hash_extended_proc_finfo.fn_oid))
    2943             :     {
    2944           0 :         scache = lookup_type_cache(scache->type_id,
    2945             :                                    TYPECACHE_HASH_EXTENDED_PROC_FINFO);
    2946           0 :         if (!OidIsValid(scache->hash_extended_proc_finfo.fn_oid))
    2947           0 :             ereport(ERROR,
    2948             :                     (errcode(ERRCODE_UNDEFINED_FUNCTION),
    2949             :                      errmsg("could not identify a hash function for type %s",
    2950             :                             format_type_be(scache->type_id))));
    2951             :     }
    2952             : 
    2953          60 :     range_count = mr->rangeCount;
    2954         120 :     for (i = 0; i < range_count; i++)
    2955             :     {
    2956             :         RangeBound  lower,
    2957             :                     upper;
    2958          60 :         uint8       flags = MultirangeGetFlagsPtr(mr)[i];
    2959             :         uint64      lower_hash;
    2960             :         uint64      upper_hash;
    2961             :         uint64      range_hash;
    2962             : 
    2963          60 :         multirange_get_bounds(typcache->rngtype, mr, i, &lower, &upper);
    2964             : 
    2965          60 :         if (RANGE_HAS_LBOUND(flags))
    2966          60 :             lower_hash = DatumGetUInt64(FunctionCall2Coll(&scache->hash_extended_proc_finfo,
    2967          60 :                                                           typcache->rngtype->rng_collation,
    2968             :                                                           lower.val,
    2969             :                                                           seed));
    2970             :         else
    2971           0 :             lower_hash = 0;
    2972             : 
    2973          60 :         if (RANGE_HAS_UBOUND(flags))
    2974          60 :             upper_hash = DatumGetUInt64(FunctionCall2Coll(&scache->hash_extended_proc_finfo,
    2975          60 :                                                           typcache->rngtype->rng_collation,
    2976             :                                                           upper.val,
    2977             :                                                           seed));
    2978             :         else
    2979           0 :             upper_hash = 0;
    2980             : 
    2981             :         /* Merge hashes of flags and bounds */
    2982          60 :         range_hash = DatumGetUInt64(hash_uint32_extended((uint32) flags,
    2983          60 :                                                          DatumGetInt64(seed)));
    2984          60 :         range_hash ^= lower_hash;
    2985          60 :         range_hash = ROTATE_HIGH_AND_LOW_32BITS(range_hash);
    2986          60 :         range_hash ^= upper_hash;
    2987             : 
    2988             :         /*
    2989             :          * Use the same approach as hash_array to combine the individual
    2990             :          * elements' hash values:
    2991             :          */
    2992          60 :         result = (result << 5) - result + range_hash;
    2993             :     }
    2994             : 
    2995          60 :     PG_FREE_IF_COPY(mr, 0);
    2996             : 
    2997          60 :     PG_RETURN_UINT64(result);
    2998             : }

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