LCOV - code coverage report
Current view: top level - src/backend/utils/adt - multirangetypes.c (source / functions) Hit Total Coverage
Test: PostgreSQL 17devel Lines: 918 984 93.3 %
Date: 2023-12-11 16:10:55 Functions: 90 92 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) 1996-2023, 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 "miscadmin.h"
      41             : #include "port/pg_bitutils.h"
      42             : #include "utils/builtins.h"
      43             : #include "utils/lsyscache.h"
      44             : #include "utils/rangetypes.h"
      45             : #include "utils/multirangetypes.h"
      46             : #include "utils/array.h"
      47             : #include "utils/memutils.h"
      48             : 
      49             : /* fn_extra cache entry for one of the range I/O functions */
      50             : typedef struct MultirangeIOData
      51             : {
      52             :     TypeCacheEntry *typcache;   /* multirange type's typcache entry */
      53             :     FmgrInfo    typioproc;      /* range type's I/O proc */
      54             :     Oid         typioparam;     /* range type's I/O parameter */
      55             : } MultirangeIOData;
      56             : 
      57             : typedef enum
      58             : {
      59             :     MULTIRANGE_BEFORE_RANGE,
      60             :     MULTIRANGE_IN_RANGE,
      61             :     MULTIRANGE_IN_RANGE_ESCAPED,
      62             :     MULTIRANGE_IN_RANGE_QUOTED,
      63             :     MULTIRANGE_IN_RANGE_QUOTED_ESCAPED,
      64             :     MULTIRANGE_AFTER_RANGE,
      65             :     MULTIRANGE_FINISHED,
      66             : } MultirangeParseState;
      67             : 
      68             : /*
      69             :  * Macros for accessing past MultirangeType parts of multirange: items, flags
      70             :  * and boundaries.
      71             :  */
      72             : #define MultirangeGetItemsPtr(mr) ((uint32 *) ((Pointer) (mr) + \
      73             :     sizeof(MultirangeType)))
      74             : #define MultirangeGetFlagsPtr(mr) ((uint8 *) ((Pointer) (mr) + \
      75             :     sizeof(MultirangeType) + ((mr)->rangeCount - 1) * sizeof(uint32)))
      76             : #define MultirangeGetBoundariesPtr(mr, align) ((Pointer) (mr) + \
      77             :     att_align_nominal(sizeof(MultirangeType) + \
      78             :         ((mr)->rangeCount - 1) * sizeof(uint32) + \
      79             :         (mr)->rangeCount * sizeof(uint8), (align)))
      80             : 
      81             : #define MULTIRANGE_ITEM_OFF_BIT 0x80000000
      82             : #define MULTIRANGE_ITEM_GET_OFFLEN(item) ((item) & 0x7FFFFFFF)
      83             : #define MULTIRANGE_ITEM_HAS_OFF(item) ((item) & MULTIRANGE_ITEM_OFF_BIT)
      84             : #define MULTIRANGE_ITEM_OFFSET_STRIDE 4
      85             : 
      86             : typedef int (*multirange_bsearch_comparison) (TypeCacheEntry *typcache,
      87             :                                               RangeBound *lower,
      88             :                                               RangeBound *upper,
      89             :                                               void *key,
      90             :                                               bool *match);
      91             : 
      92             : static MultirangeIOData *get_multirange_io_data(FunctionCallInfo fcinfo,
      93             :                                                 Oid mltrngtypid,
      94             :                                                 IOFuncSelector func);
      95             : static int32 multirange_canonicalize(TypeCacheEntry *rangetyp,
      96             :                                      int32 input_range_count,
      97             :                                      RangeType **ranges);
      98             : 
      99             : /*
     100             :  *----------------------------------------------------------
     101             :  * I/O FUNCTIONS
     102             :  *----------------------------------------------------------
     103             :  */
     104             : 
     105             : /*
     106             :  * Converts string to multirange.
     107             :  *
     108             :  * We expect curly brackets to bound the list, with zero or more ranges
     109             :  * separated by commas.  We accept whitespace anywhere: before/after our
     110             :  * brackets and around the commas.  Ranges can be the empty literal or some
     111             :  * stuff inside parens/brackets.  Mostly we delegate parsing the individual
     112             :  * range contents to range_in, but we have to detect quoting and
     113             :  * backslash-escaping which can happen for range bounds.  Backslashes can
     114             :  * escape something inside or outside a quoted string, and a quoted string
     115             :  * can escape quote marks with either backslashes or double double-quotes.
     116             :  */
     117             : Datum
     118        1314 : multirange_in(PG_FUNCTION_ARGS)
     119             : {
     120        1314 :     char       *input_str = PG_GETARG_CSTRING(0);
     121        1314 :     Oid         mltrngtypoid = PG_GETARG_OID(1);
     122        1314 :     Oid         typmod = PG_GETARG_INT32(2);
     123        1314 :     Node       *escontext = fcinfo->context;
     124             :     TypeCacheEntry *rangetyp;
     125        1314 :     int32       ranges_seen = 0;
     126        1314 :     int32       range_count = 0;
     127        1314 :     int32       range_capacity = 8;
     128             :     RangeType  *range;
     129        1314 :     RangeType **ranges = palloc(range_capacity * sizeof(RangeType *));
     130             :     MultirangeIOData *cache;
     131             :     MultirangeType *ret;
     132             :     MultirangeParseState parse_state;
     133        1314 :     const char *ptr = input_str;
     134        1314 :     const char *range_str_begin = NULL;
     135             :     int32       range_str_len;
     136             :     char       *range_str;
     137             :     Datum       range_datum;
     138             : 
     139        1314 :     cache = get_multirange_io_data(fcinfo, mltrngtypoid, IOFunc_input);
     140        1314 :     rangetyp = cache->typcache->rngtype;
     141             : 
     142             :     /* consume whitespace */
     143        1338 :     while (*ptr != '\0' && isspace((unsigned char) *ptr))
     144          24 :         ptr++;
     145             : 
     146        1314 :     if (*ptr == '{')
     147        1308 :         ptr++;
     148             :     else
     149           6 :         ereturn(escontext, (Datum) 0,
     150             :                 (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     151             :                  errmsg("malformed multirange literal: \"%s\"",
     152             :                         input_str),
     153             :                  errdetail("Missing left brace.")));
     154             : 
     155             :     /* consume ranges */
     156        1308 :     parse_state = MULTIRANGE_BEFORE_RANGE;
     157       13056 :     for (; parse_state != MULTIRANGE_FINISHED; ptr++)
     158             :     {
     159       11844 :         char        ch = *ptr;
     160             : 
     161       11844 :         if (ch == '\0')
     162          18 :             ereturn(escontext, (Datum) 0,
     163             :                     (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     164             :                      errmsg("malformed multirange literal: \"%s\"",
     165             :                             input_str),
     166             :                      errdetail("Unexpected end of input.")));
     167             : 
     168             :         /* skip whitespace */
     169       11826 :         if (isspace((unsigned char) ch))
     170         576 :             continue;
     171             : 
     172       11250 :         switch (parse_state)
     173             :         {
     174        1788 :             case MULTIRANGE_BEFORE_RANGE:
     175        1788 :                 if (ch == '[' || ch == '(')
     176             :                 {
     177        1500 :                     range_str_begin = ptr;
     178        1500 :                     parse_state = MULTIRANGE_IN_RANGE;
     179             :                 }
     180         288 :                 else if (ch == '}' && ranges_seen == 0)
     181         246 :                     parse_state = MULTIRANGE_FINISHED;
     182          42 :                 else if (pg_strncasecmp(ptr, RANGE_EMPTY_LITERAL,
     183             :                                         strlen(RANGE_EMPTY_LITERAL)) == 0)
     184             :                 {
     185          18 :                     ranges_seen++;
     186             :                     /* nothing to do with an empty range */
     187          18 :                     ptr += strlen(RANGE_EMPTY_LITERAL) - 1;
     188          18 :                     parse_state = MULTIRANGE_AFTER_RANGE;
     189             :                 }
     190             :                 else
     191          24 :                     ereturn(escontext, (Datum) 0,
     192             :                             (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     193             :                              errmsg("malformed multirange literal: \"%s\"",
     194             :                                     input_str),
     195             :                              errdetail("Expected range start.")));
     196        1764 :                 break;
     197        7818 :             case MULTIRANGE_IN_RANGE:
     198        7818 :                 if (ch == ']' || ch == ')')
     199             :                 {
     200        1494 :                     range_str_len = ptr - range_str_begin + 1;
     201        1494 :                     range_str = pnstrdup(range_str_begin, range_str_len);
     202        1494 :                     if (range_capacity == range_count)
     203             :                     {
     204           0 :                         range_capacity *= 2;
     205             :                         ranges = (RangeType **)
     206           0 :                             repalloc(ranges, range_capacity * sizeof(RangeType *));
     207             :                     }
     208        1494 :                     ranges_seen++;
     209        1494 :                     if (!InputFunctionCallSafe(&cache->typioproc,
     210             :                                                range_str,
     211             :                                                cache->typioparam,
     212             :                                                typmod,
     213             :                                                escontext,
     214             :                                                &range_datum))
     215          12 :                         PG_RETURN_NULL();
     216        1458 :                     range = DatumGetRangeTypeP(range_datum);
     217        1458 :                     if (!RangeIsEmpty(range))
     218        1428 :                         ranges[range_count++] = range;
     219        1458 :                     parse_state = MULTIRANGE_AFTER_RANGE;
     220             :                 }
     221             :                 else
     222             :                 {
     223        6324 :                     if (ch == '"')
     224          78 :                         parse_state = MULTIRANGE_IN_RANGE_QUOTED;
     225        6246 :                     else if (ch == '\\')
     226           6 :                         parse_state = MULTIRANGE_IN_RANGE_ESCAPED;
     227             : 
     228             :                     /*
     229             :                      * We will include this character into range_str once we
     230             :                      * find the end of the range value.
     231             :                      */
     232             :                 }
     233        7782 :                 break;
     234           6 :             case MULTIRANGE_IN_RANGE_ESCAPED:
     235             : 
     236             :                 /*
     237             :                  * We will include this character into range_str once we find
     238             :                  * the end of the range value.
     239             :                  */
     240           6 :                 parse_state = MULTIRANGE_IN_RANGE;
     241           6 :                 break;
     242         156 :             case MULTIRANGE_IN_RANGE_QUOTED:
     243         156 :                 if (ch == '"')
     244          78 :                     if (*(ptr + 1) == '"')
     245             :                     {
     246             :                         /* two quote marks means an escaped quote mark */
     247           6 :                         ptr++;
     248             :                     }
     249             :                     else
     250          72 :                         parse_state = MULTIRANGE_IN_RANGE;
     251          78 :                 else if (ch == '\\')
     252          18 :                     parse_state = MULTIRANGE_IN_RANGE_QUOTED_ESCAPED;
     253             : 
     254             :                 /*
     255             :                  * We will include this character into range_str once we find
     256             :                  * the end of the range value.
     257             :                  */
     258         156 :                 break;
     259        1464 :             case MULTIRANGE_AFTER_RANGE:
     260        1464 :                 if (ch == ',')
     261         480 :                     parse_state = MULTIRANGE_BEFORE_RANGE;
     262         984 :                 else if (ch == '}')
     263         966 :                     parse_state = MULTIRANGE_FINISHED;
     264             :                 else
     265          18 :                     ereturn(escontext, (Datum) 0,
     266             :                             (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     267             :                              errmsg("malformed multirange literal: \"%s\"",
     268             :                                     input_str),
     269             :                              errdetail("Expected comma or end of multirange.")));
     270        1446 :                 break;
     271          18 :             case MULTIRANGE_IN_RANGE_QUOTED_ESCAPED:
     272             : 
     273             :                 /*
     274             :                  * We will include this character into range_str once we find
     275             :                  * the end of the range value.
     276             :                  */
     277          18 :                 parse_state = MULTIRANGE_IN_RANGE_QUOTED;
     278          18 :                 break;
     279           0 :             default:
     280           0 :                 elog(ERROR, "unknown parse state: %d", parse_state);
     281             :         }
     282             :     }
     283             : 
     284             :     /* consume whitespace */
     285        1236 :     while (*ptr != '\0' && isspace((unsigned char) *ptr))
     286          24 :         ptr++;
     287             : 
     288        1212 :     if (*ptr != '\0')
     289           6 :         ereturn(escontext, (Datum) 0,
     290             :                 (errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
     291             :                  errmsg("malformed multirange literal: \"%s\"",
     292             :                         input_str),
     293             :                  errdetail("Junk after closing right brace.")));
     294             : 
     295        1206 :     ret = make_multirange(mltrngtypoid, rangetyp, range_count, ranges);
     296        1206 :     PG_RETURN_MULTIRANGE_P(ret);
     297             : }
     298             : 
     299             : Datum
     300        2200 : multirange_out(PG_FUNCTION_ARGS)
     301             : {
     302        2200 :     MultirangeType *multirange = PG_GETARG_MULTIRANGE_P(0);
     303        2200 :     Oid         mltrngtypoid = MultirangeTypeGetOid(multirange);
     304             :     MultirangeIOData *cache;
     305             :     StringInfoData buf;
     306             :     RangeType  *range;
     307             :     char       *rangeStr;
     308             :     int32       range_count;
     309             :     int32       i;
     310             :     RangeType **ranges;
     311             : 
     312        2200 :     cache = get_multirange_io_data(fcinfo, mltrngtypoid, IOFunc_output);
     313             : 
     314        2200 :     initStringInfo(&buf);
     315             : 
     316        2200 :     appendStringInfoChar(&buf, '{');
     317             : 
     318        2200 :     multirange_deserialize(cache->typcache->rngtype, multirange, &range_count, &ranges);
     319        4156 :     for (i = 0; i < range_count; i++)
     320             :     {
     321        1956 :         if (i > 0)
     322         266 :             appendStringInfoChar(&buf, ',');
     323        1956 :         range = ranges[i];
     324        1956 :         rangeStr = OutputFunctionCall(&cache->typioproc, RangeTypePGetDatum(range));
     325        1956 :         appendStringInfoString(&buf, rangeStr);
     326             :     }
     327             : 
     328        2200 :     appendStringInfoChar(&buf, '}');
     329             : 
     330        2200 :     PG_RETURN_CSTRING(buf.data);
     331             : }
     332             : 
     333             : /*
     334             :  * Binary representation: First a int32-sized count of ranges, followed by
     335             :  * ranges in their native binary representation.
     336             :  */
     337             : Datum
     338           0 : multirange_recv(PG_FUNCTION_ARGS)
     339             : {
     340           0 :     StringInfo  buf = (StringInfo) PG_GETARG_POINTER(0);
     341           0 :     Oid         mltrngtypoid = PG_GETARG_OID(1);
     342           0 :     int32       typmod = PG_GETARG_INT32(2);
     343             :     MultirangeIOData *cache;
     344             :     uint32      range_count;
     345             :     RangeType **ranges;
     346             :     MultirangeType *ret;
     347             :     StringInfoData tmpbuf;
     348             : 
     349           0 :     cache = get_multirange_io_data(fcinfo, mltrngtypoid, IOFunc_receive);
     350             : 
     351           0 :     range_count = pq_getmsgint(buf, 4);
     352           0 :     ranges = palloc(range_count * sizeof(RangeType *));
     353             : 
     354           0 :     initStringInfo(&tmpbuf);
     355           0 :     for (int i = 0; i < range_count; i++)
     356             :     {
     357           0 :         uint32      range_len = pq_getmsgint(buf, 4);
     358           0 :         const char *range_data = pq_getmsgbytes(buf, range_len);
     359             : 
     360           0 :         resetStringInfo(&tmpbuf);
     361           0 :         appendBinaryStringInfo(&tmpbuf, range_data, range_len);
     362             : 
     363           0 :         ranges[i] = DatumGetRangeTypeP(ReceiveFunctionCall(&cache->typioproc,
     364             :                                                            &tmpbuf,
     365             :                                                            cache->typioparam,
     366             :                                                            typmod));
     367             :     }
     368           0 :     pfree(tmpbuf.data);
     369             : 
     370           0 :     pq_getmsgend(buf);
     371             : 
     372           0 :     ret = make_multirange(mltrngtypoid, cache->typcache->rngtype,
     373             :                           range_count, ranges);
     374           0 :     PG_RETURN_MULTIRANGE_P(ret);
     375             : }
     376             : 
     377             : Datum
     378           0 : multirange_send(PG_FUNCTION_ARGS)
     379             : {
     380           0 :     MultirangeType *multirange = PG_GETARG_MULTIRANGE_P(0);
     381           0 :     Oid         mltrngtypoid = MultirangeTypeGetOid(multirange);
     382           0 :     StringInfo  buf = makeStringInfo();
     383             :     RangeType **ranges;
     384             :     int32       range_count;
     385             :     MultirangeIOData *cache;
     386             : 
     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             : 
     399           0 :         range = RangeTypePGetDatum(ranges[i]);
     400           0 :         range = PointerGetDatum(SendFunctionCall(&cache->typioproc, range));
     401             : 
     402           0 :         pq_sendint32(buf, VARSIZE(range) - VARHDRSZ);
     403           0 :         pq_sendbytes(buf, VARDATA(range), VARSIZE(range) - VARHDRSZ);
     404             :     }
     405             : 
     406           0 :     PG_RETURN_BYTEA_P(pq_endtypsend(buf));
     407             : }
     408             : 
     409             : /*
     410             :  * get_multirange_io_data: get cached information needed for multirange type I/O
     411             :  *
     412             :  * The multirange I/O functions need a bit more cached info than other multirange
     413             :  * functions, so they store a MultirangeIOData struct in fn_extra, not just a
     414             :  * pointer to a type cache entry.
     415             :  */
     416             : static MultirangeIOData *
     417        3514 : get_multirange_io_data(FunctionCallInfo fcinfo, Oid mltrngtypid, IOFuncSelector func)
     418             : {
     419        3514 :     MultirangeIOData *cache = (MultirangeIOData *) fcinfo->flinfo->fn_extra;
     420             : 
     421        3514 :     if (cache == NULL || cache->typcache->type_id != mltrngtypid)
     422             :     {
     423             :         Oid         typiofunc;
     424             :         int16       typlen;
     425             :         bool        typbyval;
     426             :         char        typalign;
     427             :         char        typdelim;
     428             : 
     429        2378 :         cache = (MultirangeIOData *) MemoryContextAlloc(fcinfo->flinfo->fn_mcxt,
     430             :                                                         sizeof(MultirangeIOData));
     431        2378 :         cache->typcache = lookup_type_cache(mltrngtypid, TYPECACHE_MULTIRANGE_INFO);
     432        2378 :         if (cache->typcache->rngtype == NULL)
     433           0 :             elog(ERROR, "type %u is not a multirange type", mltrngtypid);
     434             : 
     435             :         /* get_type_io_data does more than we need, but is convenient */
     436        2378 :         get_type_io_data(cache->typcache->rngtype->type_id,
     437             :                          func,
     438             :                          &typlen,
     439             :                          &typbyval,
     440             :                          &typalign,
     441             :                          &typdelim,
     442             :                          &cache->typioparam,
     443             :                          &typiofunc);
     444             : 
     445        2378 :         if (!OidIsValid(typiofunc))
     446             :         {
     447             :             /* this could only happen for receive or send */
     448           0 :             if (func == IOFunc_receive)
     449           0 :                 ereport(ERROR,
     450             :                         (errcode(ERRCODE_UNDEFINED_FUNCTION),
     451             :                          errmsg("no binary input function available for type %s",
     452             :                                 format_type_be(cache->typcache->rngtype->type_id))));
     453             :             else
     454           0 :                 ereport(ERROR,
     455             :                         (errcode(ERRCODE_UNDEFINED_FUNCTION),
     456             :                          errmsg("no binary output function available for type %s",
     457             :                                 format_type_be(cache->typcache->rngtype->type_id))));
     458             :         }
     459        2378 :         fmgr_info_cxt(typiofunc, &cache->typioproc,
     460        2378 :                       fcinfo->flinfo->fn_mcxt);
     461             : 
     462        2378 :         fcinfo->flinfo->fn_extra = (void *) cache;
     463             :     }
     464             : 
     465        3514 :     return cache;
     466             : }
     467             : 
     468             : /*
     469             :  * Converts a list of arbitrary ranges into a list that is sorted and merged.
     470             :  * Changes the contents of `ranges`.
     471             :  *
     472             :  * Returns the number of slots actually used, which may be less than
     473             :  * input_range_count but never more.
     474             :  *
     475             :  * We assume that no input ranges are null, but empties are okay.
     476             :  */
     477             : static int32
     478       23388 : multirange_canonicalize(TypeCacheEntry *rangetyp, int32 input_range_count,
     479             :                         RangeType **ranges)
     480             : {
     481       23388 :     RangeType  *lastRange = NULL;
     482             :     RangeType  *currentRange;
     483             :     int32       i;
     484       23388 :     int32       output_range_count = 0;
     485             : 
     486             :     /* Sort the ranges so we can find the ones that overlap/meet. */
     487       23388 :     qsort_arg(ranges, input_range_count, sizeof(RangeType *), range_compare,
     488             :               rangetyp);
     489             : 
     490             :     /* Now merge where possible: */
     491       72594 :     for (i = 0; i < input_range_count; i++)
     492             :     {
     493       49206 :         currentRange = ranges[i];
     494       49206 :         if (RangeIsEmpty(currentRange))
     495         186 :             continue;
     496             : 
     497       49020 :         if (lastRange == NULL)
     498             :         {
     499       22500 :             ranges[output_range_count++] = lastRange = currentRange;
     500       22500 :             continue;
     501             :         }
     502             : 
     503             :         /*
     504             :          * range_adjacent_internal gives true if *either* A meets B or B meets
     505             :          * A, which is not quite want we want, but we rely on the sorting
     506             :          * above to rule out B meets A ever happening.
     507             :          */
     508       26520 :         if (range_adjacent_internal(rangetyp, lastRange, currentRange))
     509             :         {
     510             :             /* The two ranges touch (without overlap), so merge them: */
     511        1260 :             ranges[output_range_count - 1] = lastRange =
     512        1260 :                 range_union_internal(rangetyp, lastRange, currentRange, false);
     513             :         }
     514       25260 :         else if (range_before_internal(rangetyp, lastRange, currentRange))
     515             :         {
     516             :             /* There's a gap, so make a new entry: */
     517       25140 :             lastRange = ranges[output_range_count] = currentRange;
     518       25140 :             output_range_count++;
     519             :         }
     520             :         else
     521             :         {
     522             :             /* They must overlap, so merge them: */
     523         120 :             ranges[output_range_count - 1] = lastRange =
     524         120 :                 range_union_internal(rangetyp, lastRange, currentRange, true);
     525             :         }
     526             :     }
     527             : 
     528       23388 :     return output_range_count;
     529             : }
     530             : 
     531             : /*
     532             :  *----------------------------------------------------------
     533             :  * SUPPORT FUNCTIONS
     534             :  *
     535             :  *   These functions aren't in pg_proc, but are useful for
     536             :  *   defining new generic multirange functions in C.
     537             :  *----------------------------------------------------------
     538             :  */
     539             : 
     540             : /*
     541             :  * multirange_get_typcache: get cached information about a multirange type
     542             :  *
     543             :  * This is for use by multirange-related functions that follow the convention
     544             :  * of using the fn_extra field as a pointer to the type cache entry for
     545             :  * the multirange type.  Functions that need to cache more information than
     546             :  * that must fend for themselves.
     547             :  */
     548             : TypeCacheEntry *
     549     1250352 : multirange_get_typcache(FunctionCallInfo fcinfo, Oid mltrngtypid)
     550             : {
     551     1250352 :     TypeCacheEntry *typcache = (TypeCacheEntry *) fcinfo->flinfo->fn_extra;
     552             : 
     553     1250352 :     if (typcache == NULL ||
     554     1244934 :         typcache->type_id != mltrngtypid)
     555             :     {
     556        5418 :         typcache = lookup_type_cache(mltrngtypid, TYPECACHE_MULTIRANGE_INFO);
     557        5418 :         if (typcache->rngtype == NULL)
     558           0 :             elog(ERROR, "type %u is not a multirange type", mltrngtypid);
     559        5418 :         fcinfo->flinfo->fn_extra = (void *) typcache;
     560             :     }
     561             : 
     562     1250352 :     return typcache;
     563             : }
     564             : 
     565             : 
     566             : /*
     567             :  * Estimate size occupied by serialized multirange.
     568             :  */
     569             : static Size
     570       23388 : multirange_size_estimate(TypeCacheEntry *rangetyp, int32 range_count,
     571             :                          RangeType **ranges)
     572             : {
     573       23388 :     char        elemalign = rangetyp->rngelemtype->typalign;
     574             :     Size        size;
     575             :     int32       i;
     576             : 
     577             :     /*
     578             :      * Count space for MultirangeType struct, items and flags.
     579             :      */
     580       23388 :     size = att_align_nominal(sizeof(MultirangeType) +
     581             :                              Max(range_count - 1, 0) * sizeof(uint32) +
     582             :                              range_count * sizeof(uint8), elemalign);
     583             : 
     584             :     /* Count space for range bounds */
     585       71028 :     for (i = 0; i < range_count; i++)
     586       47640 :         size += att_align_nominal(VARSIZE(ranges[i]) -
     587             :                                   sizeof(RangeType) -
     588             :                                   sizeof(char), elemalign);
     589             : 
     590       23388 :     return size;
     591             : }
     592             : 
     593             : /*
     594             :  * Write multirange data into pre-allocated space.
     595             :  */
     596             : static void
     597       23388 : write_multirange_data(MultirangeType *multirange, TypeCacheEntry *rangetyp,
     598             :                       int32 range_count, RangeType **ranges)
     599             : {
     600             :     uint32     *items;
     601       23388 :     uint32      prev_offset = 0;
     602             :     uint8      *flags;
     603             :     int32       i;
     604             :     Pointer     begin,
     605             :                 ptr;
     606       23388 :     char        elemalign = rangetyp->rngelemtype->typalign;
     607             : 
     608       23388 :     items = MultirangeGetItemsPtr(multirange);
     609       23388 :     flags = MultirangeGetFlagsPtr(multirange);
     610       23388 :     ptr = begin = MultirangeGetBoundariesPtr(multirange, elemalign);
     611       71028 :     for (i = 0; i < range_count; i++)
     612             :     {
     613             :         uint32      len;
     614             : 
     615       47640 :         if (i > 0)
     616             :         {
     617             :             /*
     618             :              * Every range, except the first one, has an item.  Every
     619             :              * MULTIRANGE_ITEM_OFFSET_STRIDE item contains an offset, others
     620             :              * contain lengths.
     621             :              */
     622       25140 :             items[i - 1] = ptr - begin;
     623       25140 :             if ((i % MULTIRANGE_ITEM_OFFSET_STRIDE) != 0)
     624       25140 :                 items[i - 1] -= prev_offset;
     625             :             else
     626           0 :                 items[i - 1] |= MULTIRANGE_ITEM_OFF_BIT;
     627       25140 :             prev_offset = ptr - begin;
     628             :         }
     629       47640 :         flags[i] = *((Pointer) ranges[i] + VARSIZE(ranges[i]) - sizeof(char));
     630       47640 :         len = VARSIZE(ranges[i]) - sizeof(RangeType) - sizeof(char);
     631       47640 :         memcpy(ptr, (Pointer) (ranges[i] + 1), len);
     632       47640 :         ptr += att_align_nominal(len, elemalign);
     633             :     }
     634       23388 : }
     635             : 
     636             : 
     637             : /*
     638             :  * This serializes the multirange from a list of non-null ranges.  It also
     639             :  * sorts the ranges and merges any that touch.  The ranges should already be
     640             :  * detoasted, and there should be no NULLs.  This should be used by most
     641             :  * callers.
     642             :  *
     643             :  * Note that we may change the `ranges` parameter (the pointers, but not
     644             :  * any already-existing RangeType contents).
     645             :  */
     646             : MultirangeType *
     647       23388 : make_multirange(Oid mltrngtypoid, TypeCacheEntry *rangetyp, int32 range_count,
     648             :                 RangeType **ranges)
     649             : {
     650             :     MultirangeType *multirange;
     651             :     Size        size;
     652             : 
     653             :     /* Sort and merge input ranges. */
     654       23388 :     range_count = multirange_canonicalize(rangetyp, range_count, ranges);
     655             : 
     656             :     /* Note: zero-fill is required here, just as in heap tuples */
     657       23388 :     size = multirange_size_estimate(rangetyp, range_count, ranges);
     658       23388 :     multirange = palloc0(size);
     659       23388 :     SET_VARSIZE(multirange, size);
     660             : 
     661             :     /* Now fill in the datum */
     662       23388 :     multirange->multirangetypid = mltrngtypoid;
     663       23388 :     multirange->rangeCount = range_count;
     664             : 
     665       23388 :     write_multirange_data(multirange, rangetyp, range_count, ranges);
     666             : 
     667       23388 :     return multirange;
     668             : }
     669             : 
     670             : /*
     671             :  * Get offset of bounds values of the i'th range in the multirange.
     672             :  */
     673             : static uint32
     674     1602302 : multirange_get_bounds_offset(const MultirangeType *multirange, int32 i)
     675             : {
     676     1602302 :     uint32     *items = MultirangeGetItemsPtr(multirange);
     677     1602302 :     uint32      offset = 0;
     678             : 
     679             :     /*
     680             :      * Summarize lengths till we meet an offset.
     681             :      */
     682     2595246 :     while (i > 0)
     683             :     {
     684      992944 :         offset += MULTIRANGE_ITEM_GET_OFFLEN(items[i - 1]);
     685      992944 :         if (MULTIRANGE_ITEM_HAS_OFF(items[i - 1]))
     686           0 :             break;
     687      992944 :         i--;
     688             :     }
     689     1602302 :     return offset;
     690             : }
     691             : 
     692             : /*
     693             :  * Fetch the i'th range from the multirange.
     694             :  */
     695             : RangeType *
     696        2790 : multirange_get_range(TypeCacheEntry *rangetyp,
     697             :                      const MultirangeType *multirange, int i)
     698             : {
     699             :     uint32      offset;
     700             :     uint8       flags;
     701             :     Pointer     begin,
     702             :                 ptr;
     703        2790 :     int16       typlen = rangetyp->rngelemtype->typlen;
     704        2790 :     char        typalign = rangetyp->rngelemtype->typalign;
     705             :     uint32      len;
     706             :     RangeType  *range;
     707             : 
     708             :     Assert(i < multirange->rangeCount);
     709             : 
     710        2790 :     offset = multirange_get_bounds_offset(multirange, i);
     711        2790 :     flags = MultirangeGetFlagsPtr(multirange)[i];
     712        2790 :     ptr = begin = MultirangeGetBoundariesPtr(multirange, typalign) + offset;
     713             : 
     714             :     /*
     715             :      * Calculate the size of bound values.  In principle, we could get offset
     716             :      * of the next range bound values and calculate accordingly.  But range
     717             :      * bound values are aligned, so we have to walk the values to get the
     718             :      * exact size.
     719             :      */
     720        2790 :     if (RANGE_HAS_LBOUND(flags))
     721        2142 :         ptr = (Pointer) att_addlength_pointer(ptr, typlen, ptr);
     722        2790 :     if (RANGE_HAS_UBOUND(flags))
     723             :     {
     724        2106 :         ptr = (Pointer) att_align_pointer(ptr, typalign, typlen, ptr);
     725        2106 :         ptr = (Pointer) att_addlength_pointer(ptr, typlen, ptr);
     726             :     }
     727        2790 :     len = (ptr - begin) + sizeof(RangeType) + sizeof(uint8);
     728             : 
     729        2790 :     range = palloc0(len);
     730        2790 :     SET_VARSIZE(range, len);
     731        2790 :     range->rangetypid = rangetyp->type_id;
     732             : 
     733        2790 :     memcpy(range + 1, begin, ptr - begin);
     734        2790 :     *((uint8 *) (range + 1) + (ptr - begin)) = flags;
     735             : 
     736        2790 :     return range;
     737             : }
     738             : 
     739             : /*
     740             :  * Fetch bounds from the i'th range of the multirange.  This is the shortcut for
     741             :  * doing the same thing as multirange_get_range() + range_deserialize(), but
     742             :  * performing fewer operations.
     743             :  */
     744             : void
     745     1599512 : multirange_get_bounds(TypeCacheEntry *rangetyp,
     746             :                       const MultirangeType *multirange,
     747             :                       uint32 i, RangeBound *lower, RangeBound *upper)
     748             : {
     749             :     uint32      offset;
     750             :     uint8       flags;
     751             :     Pointer     ptr;
     752     1599512 :     int16       typlen = rangetyp->rngelemtype->typlen;
     753     1599512 :     char        typalign = rangetyp->rngelemtype->typalign;
     754     1599512 :     bool        typbyval = rangetyp->rngelemtype->typbyval;
     755             :     Datum       lbound;
     756             :     Datum       ubound;
     757             : 
     758             :     Assert(i < multirange->rangeCount);
     759             : 
     760     1599512 :     offset = multirange_get_bounds_offset(multirange, i);
     761     1599512 :     flags = MultirangeGetFlagsPtr(multirange)[i];
     762     1599512 :     ptr = MultirangeGetBoundariesPtr(multirange, typalign) + offset;
     763             : 
     764             :     /* multirange can't contain empty ranges */
     765             :     Assert((flags & RANGE_EMPTY) == 0);
     766             : 
     767             :     /* fetch lower bound, if any */
     768     1599512 :     if (RANGE_HAS_LBOUND(flags))
     769             :     {
     770             :         /* att_align_pointer cannot be necessary here */
     771     1581932 :         lbound = fetch_att(ptr, typbyval, typlen);
     772     1581932 :         ptr = (Pointer) att_addlength_pointer(ptr, typlen, ptr);
     773             :     }
     774             :     else
     775       17580 :         lbound = (Datum) 0;
     776             : 
     777             :     /* fetch upper bound, if any */
     778     1599512 :     if (RANGE_HAS_UBOUND(flags))
     779             :     {
     780     1583528 :         ptr = (Pointer) att_align_pointer(ptr, typalign, typlen, ptr);
     781     1583528 :         ubound = fetch_att(ptr, typbyval, typlen);
     782             :         /* no need for att_addlength_pointer */
     783             :     }
     784             :     else
     785       15984 :         ubound = (Datum) 0;
     786             : 
     787             :     /* emit results */
     788     1599512 :     lower->val = lbound;
     789     1599512 :     lower->infinite = (flags & RANGE_LB_INF) != 0;
     790     1599512 :     lower->inclusive = (flags & RANGE_LB_INC) != 0;
     791     1599512 :     lower->lower = true;
     792             : 
     793     1599512 :     upper->val = ubound;
     794     1599512 :     upper->infinite = (flags & RANGE_UB_INF) != 0;
     795     1599512 :     upper->inclusive = (flags & RANGE_UB_INC) != 0;
     796     1599512 :     upper->lower = false;
     797     1599512 : }
     798             : 
     799             : /*
     800             :  * Construct union range from the multirange.
     801             :  */
     802             : RangeType *
     803       22200 : multirange_get_union_range(TypeCacheEntry *rangetyp,
     804             :                            const MultirangeType *mr)
     805             : {
     806             :     RangeBound  lower,
     807             :                 upper,
     808             :                 tmp;
     809             : 
     810       22200 :     if (MultirangeIsEmpty(mr))
     811        3000 :         return make_empty_range(rangetyp);
     812             : 
     813       19200 :     multirange_get_bounds(rangetyp, mr, 0, &lower, &tmp);
     814       19200 :     multirange_get_bounds(rangetyp, mr, mr->rangeCount - 1, &tmp, &upper);
     815             : 
     816       19200 :     return make_range(rangetyp, &lower, &upper, false, NULL);
     817             : }
     818             : 
     819             : 
     820             : /*
     821             :  * multirange_deserialize: deconstruct a multirange value
     822             :  *
     823             :  * NB: the given multirange object must be fully detoasted; it cannot have a
     824             :  * short varlena header.
     825             :  */
     826             : void
     827        2914 : multirange_deserialize(TypeCacheEntry *rangetyp,
     828             :                        const MultirangeType *multirange, int32 *range_count,
     829             :                        RangeType ***ranges)
     830             : {
     831        2914 :     *range_count = multirange->rangeCount;
     832             : 
     833             :     /* Convert each ShortRangeType into a RangeType */
     834        2914 :     if (*range_count > 0)
     835             :     {
     836             :         int         i;
     837             : 
     838        2284 :         *ranges = palloc(*range_count * sizeof(RangeType *));
     839        5014 :         for (i = 0; i < *range_count; i++)
     840        2730 :             (*ranges)[i] = multirange_get_range(rangetyp, multirange, i);
     841             :     }
     842             :     else
     843             :     {
     844         630 :         *ranges = NULL;
     845             :     }
     846        2914 : }
     847             : 
     848             : MultirangeType *
     849          18 : make_empty_multirange(Oid mltrngtypoid, TypeCacheEntry *rangetyp)
     850             : {
     851          18 :     return make_multirange(mltrngtypoid, rangetyp, 0, NULL);
     852             : }
     853             : 
     854             : /*
     855             :  * Similar to range_overlaps_internal(), but takes range bounds instead of
     856             :  * ranges as arguments.
     857             :  */
     858             : static bool
     859       57924 : range_bounds_overlaps(TypeCacheEntry *typcache,
     860             :                       RangeBound *lower1, RangeBound *upper1,
     861             :                       RangeBound *lower2, RangeBound *upper2)
     862             : {
     863      113826 :     if (range_cmp_bounds(typcache, lower1, lower2) >= 0 &&
     864       55902 :         range_cmp_bounds(typcache, lower1, upper2) <= 0)
     865         690 :         return true;
     866             : 
     867       59256 :     if (range_cmp_bounds(typcache, lower2, lower1) >= 0 &&
     868        2022 :         range_cmp_bounds(typcache, lower2, upper1) <= 0)
     869        2022 :         return true;
     870             : 
     871       55212 :     return false;
     872             : }
     873             : 
     874             : /*
     875             :  * Similar to range_contains_internal(), but takes range bounds instead of
     876             :  * ranges as arguments.
     877             :  */
     878             : static bool
     879       95022 : range_bounds_contains(TypeCacheEntry *typcache,
     880             :                       RangeBound *lower1, RangeBound *upper1,
     881             :                       RangeBound *lower2, RangeBound *upper2)
     882             : {
     883      125554 :     if (range_cmp_bounds(typcache, lower1, lower2) <= 0 &&
     884       30532 :         range_cmp_bounds(typcache, upper1, upper2) >= 0)
     885        8572 :         return true;
     886             : 
     887       86450 :     return false;
     888             : }
     889             : 
     890             : /*
     891             :  * Check if the given key matches any range in multirange using binary search.
     892             :  * If the required range isn't found, that counts as a mismatch.  When the
     893             :  * required range is found, the comparison function can still report this as
     894             :  * either match or mismatch.  For instance, if we search for containment, we can
     895             :  * found a range, which is overlapping but not containing the key range, and
     896             :  * that would count as a mismatch.
     897             :  */
     898             : static bool
     899      154164 : multirange_bsearch_match(TypeCacheEntry *typcache, const MultirangeType *mr,
     900             :                          void *key, multirange_bsearch_comparison cmp_func)
     901             : {
     902             :     uint32      l,
     903             :                 u,
     904             :                 idx;
     905             :     int         comparison;
     906      154164 :     bool        match = false;
     907             : 
     908      154164 :     l = 0;
     909      154164 :     u = mr->rangeCount;
     910      408000 :     while (l < u)
     911             :     {
     912             :         RangeBound  lower,
     913             :                     upper;
     914             : 
     915      273884 :         idx = (l + u) / 2;
     916      273884 :         multirange_get_bounds(typcache, mr, idx, &lower, &upper);
     917      273884 :         comparison = (*cmp_func) (typcache, &lower, &upper, key, &match);
     918             : 
     919      273884 :         if (comparison < 0)
     920       93782 :             u = idx;
     921      180102 :         else if (comparison > 0)
     922      160054 :             l = idx + 1;
     923             :         else
     924       20048 :             return match;
     925             :     }
     926             : 
     927      134116 :     return false;
     928             : }
     929             : 
     930             : /*
     931             :  *----------------------------------------------------------
     932             :  * GENERIC FUNCTIONS
     933             :  *----------------------------------------------------------
     934             :  */
     935             : 
     936             : /*
     937             :  * Construct multirange value from zero or more ranges.  Since this is a
     938             :  * variadic function we get passed an array.  The array must contain ranges
     939             :  * that match our return value, and there must be no NULLs.
     940             :  */
     941             : Datum
     942       13806 : multirange_constructor2(PG_FUNCTION_ARGS)
     943             : {
     944       13806 :     Oid         mltrngtypid = get_fn_expr_rettype(fcinfo->flinfo);
     945             :     Oid         rngtypid;
     946             :     TypeCacheEntry *typcache;
     947             :     TypeCacheEntry *rangetyp;
     948             :     ArrayType  *rangeArray;
     949             :     int         range_count;
     950             :     Datum      *elements;
     951             :     bool       *nulls;
     952             :     RangeType **ranges;
     953             :     int         dims;
     954             :     int         i;
     955             : 
     956       13806 :     typcache = multirange_get_typcache(fcinfo, mltrngtypid);
     957       13806 :     rangetyp = typcache->rngtype;
     958             : 
     959             :     /*
     960             :      * A no-arg invocation should call multirange_constructor0 instead, but
     961             :      * returning an empty range is what that does.
     962             :      */
     963             : 
     964       13806 :     if (PG_NARGS() == 0)
     965           0 :         PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, 0, NULL));
     966             : 
     967             :     /*
     968             :      * This check should be guaranteed by our signature, but let's do it just
     969             :      * in case.
     970             :      */
     971             : 
     972       13806 :     if (PG_ARGISNULL(0))
     973           0 :         elog(ERROR,
     974             :              "multirange values cannot contain null members");
     975             : 
     976       13806 :     rangeArray = PG_GETARG_ARRAYTYPE_P(0);
     977             : 
     978       13806 :     dims = ARR_NDIM(rangeArray);
     979       13806 :     if (dims > 1)
     980           0 :         ereport(ERROR,
     981             :                 (errcode(ERRCODE_CARDINALITY_VIOLATION),
     982             :                  errmsg("multiranges cannot be constructed from multidimensional arrays")));
     983             : 
     984       13806 :     rngtypid = ARR_ELEMTYPE(rangeArray);
     985       13806 :     if (rngtypid != rangetyp->type_id)
     986           0 :         elog(ERROR, "type %u does not match constructor type", rngtypid);
     987             : 
     988             :     /*
     989             :      * Be careful: we can still be called with zero ranges, like this:
     990             :      * `int4multirange(variadic '{}'::int4range[])
     991             :      */
     992       13806 :     if (dims == 0)
     993             :     {
     994           6 :         range_count = 0;
     995           6 :         ranges = NULL;
     996             :     }
     997             :     else
     998             :     {
     999       13800 :         deconstruct_array(rangeArray, rngtypid, rangetyp->typlen, rangetyp->typbyval,
    1000       13800 :                           rangetyp->typalign, &elements, &nulls, &range_count);
    1001             : 
    1002       13800 :         ranges = palloc0(range_count * sizeof(RangeType *));
    1003       53412 :         for (i = 0; i < range_count; i++)
    1004             :         {
    1005       39612 :             if (nulls[i])
    1006           0 :                 ereport(ERROR,
    1007             :                         (errcode(ERRCODE_NULL_VALUE_NOT_ALLOWED),
    1008             :                          errmsg("multirange values cannot contain null members")));
    1009             : 
    1010             :             /* make_multirange will do its own copy */
    1011       39612 :             ranges[i] = DatumGetRangeTypeP(elements[i]);
    1012             :         }
    1013             :     }
    1014             : 
    1015       13806 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, range_count, ranges));
    1016             : }
    1017             : 
    1018             : /*
    1019             :  * Construct multirange value from a single range.  It'd be nice if we could
    1020             :  * just use multirange_constructor2 for this case, but we need a non-variadic
    1021             :  * single-arg function to let us define a CAST from a range to its multirange.
    1022             :  */
    1023             : Datum
    1024        7374 : multirange_constructor1(PG_FUNCTION_ARGS)
    1025             : {
    1026        7374 :     Oid         mltrngtypid = get_fn_expr_rettype(fcinfo->flinfo);
    1027             :     Oid         rngtypid;
    1028             :     TypeCacheEntry *typcache;
    1029             :     TypeCacheEntry *rangetyp;
    1030             :     RangeType  *range;
    1031             : 
    1032        7374 :     typcache = multirange_get_typcache(fcinfo, mltrngtypid);
    1033        7374 :     rangetyp = typcache->rngtype;
    1034             : 
    1035             :     /*
    1036             :      * This check should be guaranteed by our signature, but let's do it just
    1037             :      * in case.
    1038             :      */
    1039             : 
    1040        7374 :     if (PG_ARGISNULL(0))
    1041           0 :         elog(ERROR,
    1042             :              "multirange values cannot contain null members");
    1043             : 
    1044        7374 :     range = PG_GETARG_RANGE_P(0);
    1045             : 
    1046             :     /* Make sure the range type matches. */
    1047        7374 :     rngtypid = RangeTypeGetOid(range);
    1048        7374 :     if (rngtypid != rangetyp->type_id)
    1049           0 :         elog(ERROR, "type %u does not match constructor type", rngtypid);
    1050             : 
    1051        7374 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, 1, &range));
    1052             : }
    1053             : 
    1054             : /*
    1055             :  * Constructor just like multirange_constructor1, but opr_sanity gets angry
    1056             :  * if the same internal function handles multiple functions with different arg
    1057             :  * counts.
    1058             :  */
    1059             : Datum
    1060         372 : multirange_constructor0(PG_FUNCTION_ARGS)
    1061             : {
    1062             :     Oid         mltrngtypid;
    1063             :     TypeCacheEntry *typcache;
    1064             :     TypeCacheEntry *rangetyp;
    1065             : 
    1066             :     /* This should always be called without arguments */
    1067         372 :     if (PG_NARGS() != 0)
    1068           0 :         elog(ERROR,
    1069             :              "niladic multirange constructor must not receive arguments");
    1070             : 
    1071         372 :     mltrngtypid = get_fn_expr_rettype(fcinfo->flinfo);
    1072         372 :     typcache = multirange_get_typcache(fcinfo, mltrngtypid);
    1073         372 :     rangetyp = typcache->rngtype;
    1074             : 
    1075         372 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypid, rangetyp, 0, NULL));
    1076             : }
    1077             : 
    1078             : 
    1079             : /* multirange, multirange -> multirange type functions */
    1080             : 
    1081             : /* multirange union */
    1082             : Datum
    1083          54 : multirange_union(PG_FUNCTION_ARGS)
    1084             : {
    1085          54 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1086          54 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1087             :     TypeCacheEntry *typcache;
    1088             :     int32       range_count1;
    1089             :     int32       range_count2;
    1090             :     int32       range_count3;
    1091             :     RangeType **ranges1;
    1092             :     RangeType **ranges2;
    1093             :     RangeType **ranges3;
    1094             : 
    1095          54 :     if (MultirangeIsEmpty(mr1))
    1096          12 :         PG_RETURN_MULTIRANGE_P(mr2);
    1097          42 :     if (MultirangeIsEmpty(mr2))
    1098           6 :         PG_RETURN_MULTIRANGE_P(mr1);
    1099             : 
    1100          36 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    1101             : 
    1102          36 :     multirange_deserialize(typcache->rngtype, mr1, &range_count1, &ranges1);
    1103          36 :     multirange_deserialize(typcache->rngtype, mr2, &range_count2, &ranges2);
    1104             : 
    1105          36 :     range_count3 = range_count1 + range_count2;
    1106          36 :     ranges3 = palloc0(range_count3 * sizeof(RangeType *));
    1107          36 :     memcpy(ranges3, ranges1, range_count1 * sizeof(RangeType *));
    1108          36 :     memcpy(ranges3 + range_count1, ranges2, range_count2 * sizeof(RangeType *));
    1109          36 :     PG_RETURN_MULTIRANGE_P(make_multirange(typcache->type_id, typcache->rngtype,
    1110             :                                            range_count3, ranges3));
    1111             : }
    1112             : 
    1113             : /* multirange minus */
    1114             : Datum
    1115         120 : multirange_minus(PG_FUNCTION_ARGS)
    1116             : {
    1117         120 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1118         120 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1119         120 :     Oid         mltrngtypoid = MultirangeTypeGetOid(mr1);
    1120             :     TypeCacheEntry *typcache;
    1121             :     TypeCacheEntry *rangetyp;
    1122             :     int32       range_count1;
    1123             :     int32       range_count2;
    1124             :     RangeType **ranges1;
    1125             :     RangeType **ranges2;
    1126             : 
    1127         120 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1128         120 :     rangetyp = typcache->rngtype;
    1129             : 
    1130         120 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    1131          24 :         PG_RETURN_MULTIRANGE_P(mr1);
    1132             : 
    1133          96 :     multirange_deserialize(typcache->rngtype, mr1, &range_count1, &ranges1);
    1134          96 :     multirange_deserialize(typcache->rngtype, mr2, &range_count2, &ranges2);
    1135             : 
    1136          96 :     PG_RETURN_MULTIRANGE_P(multirange_minus_internal(mltrngtypoid,
    1137             :                                                      rangetyp,
    1138             :                                                      range_count1,
    1139             :                                                      ranges1,
    1140             :                                                      range_count2,
    1141             :                                                      ranges2));
    1142             : }
    1143             : 
    1144             : MultirangeType *
    1145          96 : multirange_minus_internal(Oid mltrngtypoid, TypeCacheEntry *rangetyp,
    1146             :                           int32 range_count1, RangeType **ranges1,
    1147             :                           int32 range_count2, RangeType **ranges2)
    1148             : {
    1149             :     RangeType  *r1;
    1150             :     RangeType  *r2;
    1151             :     RangeType **ranges3;
    1152             :     int32       range_count3;
    1153             :     int32       i1;
    1154             :     int32       i2;
    1155             : 
    1156             :     /*
    1157             :      * Worst case: every range in ranges1 makes a different cut to some range
    1158             :      * in ranges2.
    1159             :      */
    1160          96 :     ranges3 = palloc0((range_count1 + range_count2) * sizeof(RangeType *));
    1161          96 :     range_count3 = 0;
    1162             : 
    1163             :     /*
    1164             :      * For each range in mr1, keep subtracting until it's gone or the ranges
    1165             :      * in mr2 have passed it. After a subtraction we assign what's left back
    1166             :      * to r1. The parallel progress through mr1 and mr2 is similar to
    1167             :      * multirange_overlaps_multirange_internal.
    1168             :      */
    1169          96 :     r2 = ranges2[0];
    1170         234 :     for (i1 = 0, i2 = 0; i1 < range_count1; i1++)
    1171             :     {
    1172         138 :         r1 = ranges1[i1];
    1173             : 
    1174             :         /* Discard r2s while r2 << r1 */
    1175         156 :         while (r2 != NULL && range_before_internal(rangetyp, r2, r1))
    1176             :         {
    1177          18 :             r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1178             :         }
    1179             : 
    1180         174 :         while (r2 != NULL)
    1181             :         {
    1182         132 :             if (range_split_internal(rangetyp, r1, r2, &ranges3[range_count3], &r1))
    1183             :             {
    1184             :                 /*
    1185             :                  * If r2 takes a bite out of the middle of r1, we need two
    1186             :                  * outputs
    1187             :                  */
    1188          18 :                 range_count3++;
    1189          18 :                 r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1190             :             }
    1191         114 :             else if (range_overlaps_internal(rangetyp, r1, r2))
    1192             :             {
    1193             :                 /*
    1194             :                  * If r2 overlaps r1, replace r1 with r1 - r2.
    1195             :                  */
    1196          66 :                 r1 = range_minus_internal(rangetyp, r1, r2);
    1197             : 
    1198             :                 /*
    1199             :                  * If r2 goes past r1, then we need to stay with it, in case
    1200             :                  * it hits future r1s. Otherwise we need to keep r1, in case
    1201             :                  * future r2s hit it. Since we already subtracted, there's no
    1202             :                  * point in using the overright/overleft calls.
    1203             :                  */
    1204          66 :                 if (RangeIsEmpty(r1) || range_before_internal(rangetyp, r1, r2))
    1205             :                     break;
    1206             :                 else
    1207          18 :                     r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1208             :             }
    1209             :             else
    1210             :             {
    1211             :                 /*
    1212             :                  * This and all future r2s are past r1, so keep them. Also
    1213             :                  * assign whatever is left of r1 to the result.
    1214             :                  */
    1215          48 :                 break;
    1216             :             }
    1217             :         }
    1218             : 
    1219             :         /*
    1220             :          * Nothing else can remove anything from r1, so keep it. Even if r1 is
    1221             :          * empty here, make_multirange will remove it.
    1222             :          */
    1223         138 :         ranges3[range_count3++] = r1;
    1224             :     }
    1225             : 
    1226          96 :     return make_multirange(mltrngtypoid, rangetyp, range_count3, ranges3);
    1227             : }
    1228             : 
    1229             : /* multirange intersection */
    1230             : Datum
    1231          84 : multirange_intersect(PG_FUNCTION_ARGS)
    1232             : {
    1233          84 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1234          84 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1235          84 :     Oid         mltrngtypoid = MultirangeTypeGetOid(mr1);
    1236             :     TypeCacheEntry *typcache;
    1237             :     TypeCacheEntry *rangetyp;
    1238             :     int32       range_count1;
    1239             :     int32       range_count2;
    1240             :     RangeType **ranges1;
    1241             :     RangeType **ranges2;
    1242             : 
    1243          84 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1244          84 :     rangetyp = typcache->rngtype;
    1245             : 
    1246          84 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    1247          18 :         PG_RETURN_MULTIRANGE_P(make_empty_multirange(mltrngtypoid, rangetyp));
    1248             : 
    1249          66 :     multirange_deserialize(rangetyp, mr1, &range_count1, &ranges1);
    1250          66 :     multirange_deserialize(rangetyp, mr2, &range_count2, &ranges2);
    1251             : 
    1252          66 :     PG_RETURN_MULTIRANGE_P(multirange_intersect_internal(mltrngtypoid,
    1253             :                                                          rangetyp,
    1254             :                                                          range_count1,
    1255             :                                                          ranges1,
    1256             :                                                          range_count2,
    1257             :                                                          ranges2));
    1258             : }
    1259             : 
    1260             : MultirangeType *
    1261         162 : multirange_intersect_internal(Oid mltrngtypoid, TypeCacheEntry *rangetyp,
    1262             :                               int32 range_count1, RangeType **ranges1,
    1263             :                               int32 range_count2, RangeType **ranges2)
    1264             : {
    1265             :     RangeType  *r1;
    1266             :     RangeType  *r2;
    1267             :     RangeType **ranges3;
    1268             :     int32       range_count3;
    1269             :     int32       i1;
    1270             :     int32       i2;
    1271             : 
    1272         162 :     if (range_count1 == 0 || range_count2 == 0)
    1273          60 :         return make_multirange(mltrngtypoid, rangetyp, 0, NULL);
    1274             : 
    1275             :     /*-----------------------------------------------
    1276             :      * Worst case is a stitching pattern like this:
    1277             :      *
    1278             :      * mr1: --- --- --- ---
    1279             :      * mr2:   --- --- ---
    1280             :      * mr3:   - - - - - -
    1281             :      *
    1282             :      * That seems to be range_count1 + range_count2 - 1,
    1283             :      * but one extra won't hurt.
    1284             :      *-----------------------------------------------
    1285             :      */
    1286         102 :     ranges3 = palloc0((range_count1 + range_count2) * sizeof(RangeType *));
    1287         102 :     range_count3 = 0;
    1288             : 
    1289             :     /*
    1290             :      * For each range in mr1, keep intersecting until the ranges in mr2 have
    1291             :      * passed it. The parallel progress through mr1 and mr2 is similar to
    1292             :      * multirange_minus_multirange_internal, but we don't have to assign back
    1293             :      * to r1.
    1294             :      */
    1295         102 :     r2 = ranges2[0];
    1296         228 :     for (i1 = 0, i2 = 0; i1 < range_count1; i1++)
    1297             :     {
    1298         138 :         r1 = ranges1[i1];
    1299             : 
    1300             :         /* Discard r2s while r2 << r1 */
    1301         150 :         while (r2 != NULL && range_before_internal(rangetyp, r2, r1))
    1302             :         {
    1303          12 :             r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1304             :         }
    1305             : 
    1306         186 :         while (r2 != NULL)
    1307             :         {
    1308         174 :             if (range_overlaps_internal(rangetyp, r1, r2))
    1309             :             {
    1310             :                 /* Keep the overlapping part */
    1311         156 :                 ranges3[range_count3++] = range_intersect_internal(rangetyp, r1, r2);
    1312             : 
    1313             :                 /* If we "used up" all of r2, go to the next one... */
    1314         156 :                 if (range_overleft_internal(rangetyp, r2, r1))
    1315          48 :                     r2 = ++i2 >= range_count2 ? NULL : ranges2[i2];
    1316             : 
    1317             :                 /* ...otherwise go to the next r1 */
    1318             :                 else
    1319         108 :                     break;
    1320             :             }
    1321             :             else
    1322             :                 /* We're past r1, so move to the next one */
    1323          18 :                 break;
    1324             :         }
    1325             : 
    1326             :         /* If we're out of r2s, there can be no more intersections */
    1327         138 :         if (r2 == NULL)
    1328          12 :             break;
    1329             :     }
    1330             : 
    1331         102 :     return make_multirange(mltrngtypoid, rangetyp, range_count3, ranges3);
    1332             : }
    1333             : 
    1334             : /*
    1335             :  * range_agg_transfn: combine adjacent/overlapping ranges.
    1336             :  *
    1337             :  * All we do here is gather the input ranges into an array
    1338             :  * so that the finalfn can sort and combine them.
    1339             :  */
    1340             : Datum
    1341         114 : range_agg_transfn(PG_FUNCTION_ARGS)
    1342             : {
    1343             :     MemoryContext aggContext;
    1344             :     Oid         rngtypoid;
    1345             :     ArrayBuildState *state;
    1346             : 
    1347         114 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1348           0 :         elog(ERROR, "range_agg_transfn called in non-aggregate context");
    1349             : 
    1350         114 :     rngtypoid = get_fn_expr_argtype(fcinfo->flinfo, 1);
    1351         114 :     if (!type_is_range(rngtypoid))
    1352           0 :         elog(ERROR, "range_agg must be called with a range");
    1353             : 
    1354         114 :     if (PG_ARGISNULL(0))
    1355          54 :         state = initArrayResult(rngtypoid, aggContext, false);
    1356             :     else
    1357          60 :         state = (ArrayBuildState *) PG_GETARG_POINTER(0);
    1358             : 
    1359             :     /* skip NULLs */
    1360         114 :     if (!PG_ARGISNULL(1))
    1361          90 :         accumArrayResult(state, PG_GETARG_DATUM(1), false, rngtypoid, aggContext);
    1362             : 
    1363         114 :     PG_RETURN_POINTER(state);
    1364             : }
    1365             : 
    1366             : /*
    1367             :  * range_agg_finalfn: use our internal array to merge touching ranges.
    1368             :  *
    1369             :  * Shared by range_agg_finalfn(anyrange) and
    1370             :  * multirange_agg_finalfn(anymultirange).
    1371             :  */
    1372             : Datum
    1373         114 : range_agg_finalfn(PG_FUNCTION_ARGS)
    1374             : {
    1375             :     MemoryContext aggContext;
    1376             :     Oid         mltrngtypoid;
    1377             :     TypeCacheEntry *typcache;
    1378             :     ArrayBuildState *state;
    1379             :     int32       range_count;
    1380             :     RangeType **ranges;
    1381             :     int         i;
    1382             : 
    1383         114 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1384           0 :         elog(ERROR, "range_agg_finalfn called in non-aggregate context");
    1385             : 
    1386         114 :     state = PG_ARGISNULL(0) ? NULL : (ArrayBuildState *) PG_GETARG_POINTER(0);
    1387         114 :     if (state == NULL)
    1388             :         /* This shouldn't be possible, but just in case.... */
    1389           6 :         PG_RETURN_NULL();
    1390             : 
    1391             :     /* Also return NULL if we had zero inputs, like other aggregates */
    1392         108 :     range_count = state->nelems;
    1393         108 :     if (range_count == 0)
    1394          18 :         PG_RETURN_NULL();
    1395             : 
    1396          90 :     mltrngtypoid = get_fn_expr_rettype(fcinfo->flinfo);
    1397          90 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1398             : 
    1399          90 :     ranges = palloc0(range_count * sizeof(RangeType *));
    1400         318 :     for (i = 0; i < range_count; i++)
    1401         228 :         ranges[i] = DatumGetRangeTypeP(state->dvalues[i]);
    1402             : 
    1403          90 :     PG_RETURN_MULTIRANGE_P(make_multirange(mltrngtypoid, typcache->rngtype, range_count, ranges));
    1404             : }
    1405             : 
    1406             : /*
    1407             :  * multirange_agg_transfn: combine adjacent/overlapping multiranges.
    1408             :  *
    1409             :  * All we do here is gather the input multiranges' ranges into an array so
    1410             :  * that the finalfn can sort and combine them.
    1411             :  */
    1412             : Datum
    1413         192 : multirange_agg_transfn(PG_FUNCTION_ARGS)
    1414             : {
    1415             :     MemoryContext aggContext;
    1416             :     Oid         mltrngtypoid;
    1417             :     TypeCacheEntry *typcache;
    1418             :     TypeCacheEntry *rngtypcache;
    1419             :     ArrayBuildState *state;
    1420             : 
    1421         192 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1422           0 :         elog(ERROR, "multirange_agg_transfn called in non-aggregate context");
    1423             : 
    1424         192 :     mltrngtypoid = get_fn_expr_argtype(fcinfo->flinfo, 1);
    1425         192 :     if (!type_is_multirange(mltrngtypoid))
    1426           0 :         elog(ERROR, "range_agg must be called with a multirange");
    1427             : 
    1428         192 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1429         192 :     rngtypcache = typcache->rngtype;
    1430             : 
    1431         192 :     if (PG_ARGISNULL(0))
    1432          54 :         state = initArrayResult(rngtypcache->type_id, aggContext, false);
    1433             :     else
    1434         138 :         state = (ArrayBuildState *) PG_GETARG_POINTER(0);
    1435             : 
    1436             :     /* skip NULLs */
    1437         192 :     if (!PG_ARGISNULL(1))
    1438             :     {
    1439             :         MultirangeType *current;
    1440             :         int32       range_count;
    1441             :         RangeType **ranges;
    1442             : 
    1443         126 :         current = PG_GETARG_MULTIRANGE_P(1);
    1444         126 :         multirange_deserialize(rngtypcache, current, &range_count, &ranges);
    1445         126 :         if (range_count == 0)
    1446             :         {
    1447             :             /*
    1448             :              * Add an empty range so we get an empty result (not a null
    1449             :              * result).
    1450             :              */
    1451          42 :             accumArrayResult(state,
    1452          42 :                              RangeTypePGetDatum(make_empty_range(rngtypcache)),
    1453             :                              false, rngtypcache->type_id, aggContext);
    1454             :         }
    1455             :         else
    1456             :         {
    1457         180 :             for (int32 i = 0; i < range_count; i++)
    1458          96 :                 accumArrayResult(state, RangeTypePGetDatum(ranges[i]), false, rngtypcache->type_id, aggContext);
    1459             :         }
    1460             :     }
    1461             : 
    1462         192 :     PG_RETURN_POINTER(state);
    1463             : }
    1464             : 
    1465             : Datum
    1466          96 : multirange_intersect_agg_transfn(PG_FUNCTION_ARGS)
    1467             : {
    1468             :     MemoryContext aggContext;
    1469             :     Oid         mltrngtypoid;
    1470             :     TypeCacheEntry *typcache;
    1471             :     MultirangeType *result;
    1472             :     MultirangeType *current;
    1473             :     int32       range_count1;
    1474             :     int32       range_count2;
    1475             :     RangeType **ranges1;
    1476             :     RangeType **ranges2;
    1477             : 
    1478          96 :     if (!AggCheckCallContext(fcinfo, &aggContext))
    1479           0 :         elog(ERROR, "multirange_intersect_agg_transfn called in non-aggregate context");
    1480             : 
    1481          96 :     mltrngtypoid = get_fn_expr_argtype(fcinfo->flinfo, 1);
    1482          96 :     if (!type_is_multirange(mltrngtypoid))
    1483           0 :         elog(ERROR, "range_intersect_agg must be called with a multirange");
    1484             : 
    1485          96 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    1486             : 
    1487             :     /* strictness ensures these are non-null */
    1488          96 :     result = PG_GETARG_MULTIRANGE_P(0);
    1489          96 :     current = PG_GETARG_MULTIRANGE_P(1);
    1490             : 
    1491          96 :     multirange_deserialize(typcache->rngtype, result, &range_count1, &ranges1);
    1492          96 :     multirange_deserialize(typcache->rngtype, current, &range_count2, &ranges2);
    1493             : 
    1494          96 :     result = multirange_intersect_internal(mltrngtypoid,
    1495          96 :                                            typcache->rngtype,
    1496             :                                            range_count1,
    1497             :                                            ranges1,
    1498             :                                            range_count2,
    1499             :                                            ranges2);
    1500          96 :     PG_RETURN_MULTIRANGE_P(result);
    1501             : }
    1502             : 
    1503             : 
    1504             : /* multirange -> element type functions */
    1505             : 
    1506             : /* extract lower bound value */
    1507             : Datum
    1508         132 : multirange_lower(PG_FUNCTION_ARGS)
    1509             : {
    1510         132 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1511             :     TypeCacheEntry *typcache;
    1512             :     RangeBound  lower;
    1513             :     RangeBound  upper;
    1514             : 
    1515         132 :     if (MultirangeIsEmpty(mr))
    1516          24 :         PG_RETURN_NULL();
    1517             : 
    1518         108 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1519             : 
    1520         108 :     multirange_get_bounds(typcache->rngtype, mr, 0,
    1521             :                           &lower, &upper);
    1522             : 
    1523         108 :     if (!lower.infinite)
    1524          90 :         PG_RETURN_DATUM(lower.val);
    1525             :     else
    1526          18 :         PG_RETURN_NULL();
    1527             : }
    1528             : 
    1529             : /* extract upper bound value */
    1530             : Datum
    1531         138 : multirange_upper(PG_FUNCTION_ARGS)
    1532             : {
    1533         138 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1534             :     TypeCacheEntry *typcache;
    1535             :     RangeBound  lower;
    1536             :     RangeBound  upper;
    1537             : 
    1538         138 :     if (MultirangeIsEmpty(mr))
    1539          24 :         PG_RETURN_NULL();
    1540             : 
    1541         114 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1542             : 
    1543         114 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    1544             :                           &lower, &upper);
    1545             : 
    1546         114 :     if (!upper.infinite)
    1547          96 :         PG_RETURN_DATUM(upper.val);
    1548             :     else
    1549          18 :         PG_RETURN_NULL();
    1550             : }
    1551             : 
    1552             : 
    1553             : /* multirange -> bool functions */
    1554             : 
    1555             : /* is multirange empty? */
    1556             : Datum
    1557          66 : multirange_empty(PG_FUNCTION_ARGS)
    1558             : {
    1559          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1560             : 
    1561          66 :     PG_RETURN_BOOL(MultirangeIsEmpty(mr));
    1562             : }
    1563             : 
    1564             : /* is lower bound inclusive? */
    1565             : Datum
    1566          66 : multirange_lower_inc(PG_FUNCTION_ARGS)
    1567             : {
    1568          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1569             :     TypeCacheEntry *typcache;
    1570             :     RangeBound  lower;
    1571             :     RangeBound  upper;
    1572             : 
    1573          66 :     if (MultirangeIsEmpty(mr))
    1574          24 :         PG_RETURN_BOOL(false);
    1575             : 
    1576          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1577          42 :     multirange_get_bounds(typcache->rngtype, mr, 0,
    1578             :                           &lower, &upper);
    1579             : 
    1580          42 :     PG_RETURN_BOOL(lower.inclusive);
    1581             : }
    1582             : 
    1583             : /* is upper bound inclusive? */
    1584             : Datum
    1585          66 : multirange_upper_inc(PG_FUNCTION_ARGS)
    1586             : {
    1587          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1588             :     TypeCacheEntry *typcache;
    1589             :     RangeBound  lower;
    1590             :     RangeBound  upper;
    1591             : 
    1592          66 :     if (MultirangeIsEmpty(mr))
    1593          24 :         PG_RETURN_BOOL(false);
    1594             : 
    1595          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1596          42 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    1597             :                           &lower, &upper);
    1598             : 
    1599          42 :     PG_RETURN_BOOL(upper.inclusive);
    1600             : }
    1601             : 
    1602             : /* is lower bound infinite? */
    1603             : Datum
    1604          66 : multirange_lower_inf(PG_FUNCTION_ARGS)
    1605             : {
    1606          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1607             :     TypeCacheEntry *typcache;
    1608             :     RangeBound  lower;
    1609             :     RangeBound  upper;
    1610             : 
    1611          66 :     if (MultirangeIsEmpty(mr))
    1612          24 :         PG_RETURN_BOOL(false);
    1613             : 
    1614          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1615          42 :     multirange_get_bounds(typcache->rngtype, mr, 0,
    1616             :                           &lower, &upper);
    1617             : 
    1618          42 :     PG_RETURN_BOOL(lower.infinite);
    1619             : }
    1620             : 
    1621             : /* is upper bound infinite? */
    1622             : Datum
    1623          66 : multirange_upper_inf(PG_FUNCTION_ARGS)
    1624             : {
    1625          66 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1626             :     TypeCacheEntry *typcache;
    1627             :     RangeBound  lower;
    1628             :     RangeBound  upper;
    1629             : 
    1630          66 :     if (MultirangeIsEmpty(mr))
    1631          24 :         PG_RETURN_BOOL(false);
    1632             : 
    1633          42 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1634          42 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    1635             :                           &lower, &upper);
    1636             : 
    1637          42 :     PG_RETURN_BOOL(upper.infinite);
    1638             : }
    1639             : 
    1640             : 
    1641             : 
    1642             : /* multirange, element -> bool functions */
    1643             : 
    1644             : /* contains? */
    1645             : Datum
    1646       23142 : multirange_contains_elem(PG_FUNCTION_ARGS)
    1647             : {
    1648       23142 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1649       23142 :     Datum       val = PG_GETARG_DATUM(1);
    1650             :     TypeCacheEntry *typcache;
    1651             : 
    1652       23142 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1653             : 
    1654       23142 :     PG_RETURN_BOOL(multirange_contains_elem_internal(typcache->rngtype, mr, val));
    1655             : }
    1656             : 
    1657             : /* contained by? */
    1658             : Datum
    1659         144 : elem_contained_by_multirange(PG_FUNCTION_ARGS)
    1660             : {
    1661         144 :     Datum       val = PG_GETARG_DATUM(0);
    1662         144 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    1663             :     TypeCacheEntry *typcache;
    1664             : 
    1665         144 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1666             : 
    1667         144 :     PG_RETURN_BOOL(multirange_contains_elem_internal(typcache->rngtype, mr, val));
    1668             : }
    1669             : 
    1670             : /*
    1671             :  * Comparison function for checking if any range of multirange contains given
    1672             :  * key element using binary search.
    1673             :  */
    1674             : static int
    1675       32226 : multirange_elem_bsearch_comparison(TypeCacheEntry *typcache,
    1676             :                                    RangeBound *lower, RangeBound *upper,
    1677             :                                    void *key, bool *match)
    1678             : {
    1679       32226 :     Datum       val = *((Datum *) key);
    1680             :     int         cmp;
    1681             : 
    1682       32226 :     if (!lower->infinite)
    1683             :     {
    1684       30936 :         cmp = DatumGetInt32(FunctionCall2Coll(&typcache->rng_cmp_proc_finfo,
    1685             :                                               typcache->rng_collation,
    1686             :                                               lower->val, val));
    1687       30936 :         if (cmp > 0 || (cmp == 0 && !lower->inclusive))
    1688       30546 :             return -1;
    1689             :     }
    1690             : 
    1691        1680 :     if (!upper->infinite)
    1692             :     {
    1693        1590 :         cmp = DatumGetInt32(FunctionCall2Coll(&typcache->rng_cmp_proc_finfo,
    1694             :                                               typcache->rng_collation,
    1695             :                                               upper->val, val));
    1696        1590 :         if (cmp < 0 || (cmp == 0 && !upper->inclusive))
    1697          96 :             return 1;
    1698             :     }
    1699             : 
    1700        1584 :     *match = true;
    1701        1584 :     return 0;
    1702             : }
    1703             : 
    1704             : /*
    1705             :  * Test whether multirange mr contains a specific element value.
    1706             :  */
    1707             : bool
    1708       23286 : multirange_contains_elem_internal(TypeCacheEntry *rangetyp,
    1709             :                                   const MultirangeType *mr, Datum val)
    1710             : {
    1711       23286 :     if (MultirangeIsEmpty(mr))
    1712        3120 :         return false;
    1713             : 
    1714       20166 :     return multirange_bsearch_match(rangetyp, mr, &val,
    1715             :                                     multirange_elem_bsearch_comparison);
    1716             : }
    1717             : 
    1718             : /* multirange, range -> bool functions */
    1719             : 
    1720             : /* contains? */
    1721             : Datum
    1722       89754 : multirange_contains_range(PG_FUNCTION_ARGS)
    1723             : {
    1724       89754 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1725       89754 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    1726             :     TypeCacheEntry *typcache;
    1727             : 
    1728       89754 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1729             : 
    1730       89754 :     PG_RETURN_BOOL(multirange_contains_range_internal(typcache->rngtype, mr, r));
    1731             : }
    1732             : 
    1733             : Datum
    1734       74490 : range_contains_multirange(PG_FUNCTION_ARGS)
    1735             : {
    1736       74490 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    1737       74490 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    1738             :     TypeCacheEntry *typcache;
    1739             : 
    1740       74490 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1741             : 
    1742       74490 :     PG_RETURN_BOOL(range_contains_multirange_internal(typcache->rngtype, r, mr));
    1743             : }
    1744             : 
    1745             : /* contained by? */
    1746             : Datum
    1747       37428 : range_contained_by_multirange(PG_FUNCTION_ARGS)
    1748             : {
    1749       37428 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    1750       37428 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    1751             :     TypeCacheEntry *typcache;
    1752             : 
    1753       37428 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1754             : 
    1755       37428 :     PG_RETURN_BOOL(multirange_contains_range_internal(typcache->rngtype, mr, r));
    1756             : }
    1757             : 
    1758             : Datum
    1759       50490 : multirange_contained_by_range(PG_FUNCTION_ARGS)
    1760             : {
    1761       50490 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1762       50490 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    1763             :     TypeCacheEntry *typcache;
    1764             : 
    1765       50490 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1766             : 
    1767       50490 :     PG_RETURN_BOOL(range_contains_multirange_internal(typcache->rngtype, r, mr));
    1768             : }
    1769             : 
    1770             : /*
    1771             :  * Comparison function for checking if any range of multirange contains given
    1772             :  * key range using binary search.
    1773             :  */
    1774             : static int
    1775      119666 : multirange_range_contains_bsearch_comparison(TypeCacheEntry *typcache,
    1776             :                                              RangeBound *lower, RangeBound *upper,
    1777             :                                              void *key, bool *match)
    1778             : {
    1779      119666 :     RangeBound *keyLower = (RangeBound *) key;
    1780      119666 :     RangeBound *keyUpper = (RangeBound *) key + 1;
    1781             : 
    1782             :     /* Check if key range is strictly in the left or in the right */
    1783      119666 :     if (range_cmp_bounds(typcache, keyUpper, lower) < 0)
    1784       31776 :         return -1;
    1785       87890 :     if (range_cmp_bounds(typcache, keyLower, upper) > 0)
    1786       77810 :         return 1;
    1787             : 
    1788             :     /*
    1789             :      * At this point we found overlapping range.  But we have to check if it
    1790             :      * really contains the key range.  Anyway, we have to stop our search
    1791             :      * here, because multirange contains only non-overlapping ranges.
    1792             :      */
    1793       10080 :     *match = range_bounds_contains(typcache, lower, upper, keyLower, keyUpper);
    1794             : 
    1795       10080 :     return 0;
    1796             : }
    1797             : 
    1798             : /*
    1799             :  * Test whether multirange mr contains a specific range r.
    1800             :  */
    1801             : bool
    1802      160240 : multirange_contains_range_internal(TypeCacheEntry *rangetyp,
    1803             :                                    const MultirangeType *mr,
    1804             :                                    const RangeType *r)
    1805             : {
    1806             :     RangeBound  bounds[2];
    1807             :     bool        empty;
    1808             : 
    1809             :     /*
    1810             :      * Every multirange contains an infinite number of empty ranges, even an
    1811             :      * empty one.
    1812             :      */
    1813      160240 :     if (RangeIsEmpty(r))
    1814       90612 :         return true;
    1815             : 
    1816       69628 :     if (MultirangeIsEmpty(mr))
    1817        3096 :         return false;
    1818             : 
    1819       66532 :     range_deserialize(rangetyp, r, &bounds[0], &bounds[1], &empty);
    1820             :     Assert(!empty);
    1821             : 
    1822       66532 :     return multirange_bsearch_match(rangetyp, mr, bounds,
    1823             :                                     multirange_range_contains_bsearch_comparison);
    1824             : }
    1825             : 
    1826             : /*
    1827             :  * Test whether range r contains a multirange mr.
    1828             :  */
    1829             : bool
    1830      277918 : range_contains_multirange_internal(TypeCacheEntry *rangetyp,
    1831             :                                    const RangeType *r,
    1832             :                                    const MultirangeType *mr)
    1833             : {
    1834             :     RangeBound  lower1,
    1835             :                 upper1,
    1836             :                 lower2,
    1837             :                 upper2,
    1838             :                 tmp;
    1839             :     bool        empty;
    1840             : 
    1841             :     /*
    1842             :      * Every range contains an infinite number of empty multiranges, even an
    1843             :      * empty one.
    1844             :      */
    1845      277918 :     if (MultirangeIsEmpty(mr))
    1846      191098 :         return true;
    1847             : 
    1848       86820 :     if (RangeIsEmpty(r))
    1849       25272 :         return false;
    1850             : 
    1851             :     /* Range contains multirange iff it contains its union range. */
    1852       61548 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    1853             :     Assert(!empty);
    1854       61548 :     multirange_get_bounds(rangetyp, mr, 0, &lower2, &tmp);
    1855       61548 :     multirange_get_bounds(rangetyp, mr, mr->rangeCount - 1, &tmp, &upper2);
    1856             : 
    1857       61548 :     return range_bounds_contains(rangetyp, &lower1, &upper1, &lower2, &upper2);
    1858             : }
    1859             : 
    1860             : 
    1861             : /* multirange, multirange -> bool functions */
    1862             : 
    1863             : /* equality (internal version) */
    1864             : bool
    1865       47754 : multirange_eq_internal(TypeCacheEntry *rangetyp,
    1866             :                        const MultirangeType *mr1,
    1867             :                        const MultirangeType *mr2)
    1868             : {
    1869             :     int32       range_count_1;
    1870             :     int32       range_count_2;
    1871             :     int32       i;
    1872             :     RangeBound  lower1,
    1873             :                 upper1,
    1874             :                 lower2,
    1875             :                 upper2;
    1876             : 
    1877             :     /* Different types should be prevented by ANYMULTIRANGE matching rules */
    1878       47754 :     if (MultirangeTypeGetOid(mr1) != MultirangeTypeGetOid(mr2))
    1879           0 :         elog(ERROR, "multirange types do not match");
    1880             : 
    1881       47754 :     range_count_1 = mr1->rangeCount;
    1882       47754 :     range_count_2 = mr2->rangeCount;
    1883             : 
    1884       47754 :     if (range_count_1 != range_count_2)
    1885       29490 :         return false;
    1886             : 
    1887       18396 :     for (i = 0; i < range_count_1; i++)
    1888             :     {
    1889       12168 :         multirange_get_bounds(rangetyp, mr1, i, &lower1, &upper1);
    1890       12168 :         multirange_get_bounds(rangetyp, mr2, i, &lower2, &upper2);
    1891             : 
    1892       12318 :         if (range_cmp_bounds(rangetyp, &lower1, &lower2) != 0 ||
    1893         150 :             range_cmp_bounds(rangetyp, &upper1, &upper2) != 0)
    1894       12036 :             return false;
    1895             :     }
    1896             : 
    1897        6228 :     return true;
    1898             : }
    1899             : 
    1900             : /* equality */
    1901             : Datum
    1902       47622 : multirange_eq(PG_FUNCTION_ARGS)
    1903             : {
    1904       47622 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1905       47622 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1906             :     TypeCacheEntry *typcache;
    1907             : 
    1908       47622 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    1909             : 
    1910       47622 :     PG_RETURN_BOOL(multirange_eq_internal(typcache->rngtype, mr1, mr2));
    1911             : }
    1912             : 
    1913             : /* inequality (internal version) */
    1914             : bool
    1915         132 : multirange_ne_internal(TypeCacheEntry *rangetyp,
    1916             :                        const MultirangeType *mr1,
    1917             :                        const MultirangeType *mr2)
    1918             : {
    1919         132 :     return (!multirange_eq_internal(rangetyp, mr1, mr2));
    1920             : }
    1921             : 
    1922             : /* inequality */
    1923             : Datum
    1924         132 : multirange_ne(PG_FUNCTION_ARGS)
    1925             : {
    1926         132 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1927         132 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1928             :     TypeCacheEntry *typcache;
    1929             : 
    1930         132 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    1931             : 
    1932         132 :     PG_RETURN_BOOL(multirange_ne_internal(typcache->rngtype, mr1, mr2));
    1933             : }
    1934             : 
    1935             : /* overlaps? */
    1936             : Datum
    1937       37344 : range_overlaps_multirange(PG_FUNCTION_ARGS)
    1938             : {
    1939       37344 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    1940       37344 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    1941             :     TypeCacheEntry *typcache;
    1942             : 
    1943       37344 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1944             : 
    1945       37344 :     PG_RETURN_BOOL(range_overlaps_multirange_internal(typcache->rngtype, r, mr));
    1946             : }
    1947             : 
    1948             : Datum
    1949       45390 : multirange_overlaps_range(PG_FUNCTION_ARGS)
    1950             : {
    1951       45390 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    1952       45390 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    1953             :     TypeCacheEntry *typcache;
    1954             : 
    1955       45390 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    1956             : 
    1957       45390 :     PG_RETURN_BOOL(range_overlaps_multirange_internal(typcache->rngtype, r, mr));
    1958             : }
    1959             : 
    1960             : Datum
    1961       46044 : multirange_overlaps_multirange(PG_FUNCTION_ARGS)
    1962             : {
    1963       46044 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    1964       46044 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    1965             :     TypeCacheEntry *typcache;
    1966             : 
    1967       46044 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    1968             : 
    1969       46044 :     PG_RETURN_BOOL(multirange_overlaps_multirange_internal(typcache->rngtype, mr1, mr2));
    1970             : }
    1971             : 
    1972             : /*
    1973             :  * Comparison function for checking if any range of multirange overlaps given
    1974             :  * key range using binary search.
    1975             :  */
    1976             : static int
    1977      121992 : multirange_range_overlaps_bsearch_comparison(TypeCacheEntry *typcache,
    1978             :                                              RangeBound *lower, RangeBound *upper,
    1979             :                                              void *key, bool *match)
    1980             : {
    1981      121992 :     RangeBound *keyLower = (RangeBound *) key;
    1982      121992 :     RangeBound *keyUpper = (RangeBound *) key + 1;
    1983             : 
    1984      121992 :     if (range_cmp_bounds(typcache, keyUpper, lower) < 0)
    1985       31460 :         return -1;
    1986       90532 :     if (range_cmp_bounds(typcache, keyLower, upper) > 0)
    1987       82148 :         return 1;
    1988             : 
    1989        8384 :     *match = true;
    1990        8384 :     return 0;
    1991             : }
    1992             : 
    1993             : bool
    1994       99166 : range_overlaps_multirange_internal(TypeCacheEntry *rangetyp,
    1995             :                                    const RangeType *r,
    1996             :                                    const MultirangeType *mr)
    1997             : {
    1998             :     RangeBound  bounds[2];
    1999             :     bool        empty;
    2000             : 
    2001             :     /*
    2002             :      * Empties never overlap, even with empties. (This seems strange since
    2003             :      * they *do* contain each other, but we want to follow how ranges work.)
    2004             :      */
    2005       99166 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2006       31700 :         return false;
    2007             : 
    2008       67466 :     range_deserialize(rangetyp, r, &bounds[0], &bounds[1], &empty);
    2009             :     Assert(!empty);
    2010             : 
    2011       67466 :     return multirange_bsearch_match(rangetyp, mr, bounds,
    2012             :                                     multirange_range_overlaps_bsearch_comparison);
    2013             : }
    2014             : 
    2015             : bool
    2016       46044 : multirange_overlaps_multirange_internal(TypeCacheEntry *rangetyp,
    2017             :                                         const MultirangeType *mr1,
    2018             :                                         const MultirangeType *mr2)
    2019             : {
    2020             :     int32       range_count1;
    2021             :     int32       range_count2;
    2022             :     int32       i1;
    2023             :     int32       i2;
    2024             :     RangeBound  lower1,
    2025             :                 upper1,
    2026             :                 lower2,
    2027             :                 upper2;
    2028             : 
    2029             :     /*
    2030             :      * Empties never overlap, even with empties. (This seems strange since
    2031             :      * they *do* contain each other, but we want to follow how ranges work.)
    2032             :      */
    2033       46044 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2034       25314 :         return false;
    2035             : 
    2036       20730 :     range_count1 = mr1->rangeCount;
    2037       20730 :     range_count2 = mr2->rangeCount;
    2038             : 
    2039             :     /*
    2040             :      * Every range in mr1 gets a chance to overlap with the ranges in mr2, but
    2041             :      * we can use their ordering to avoid O(n^2). This is similar to
    2042             :      * range_overlaps_multirange where r1 : r2 :: mrr : r, but there if we
    2043             :      * don't find an overlap with r we're done, and here if we don't find an
    2044             :      * overlap with r2 we try the next r2.
    2045             :      */
    2046       20730 :     i1 = 0;
    2047       20730 :     multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2048       75942 :     for (i1 = 0, i2 = 0; i2 < range_count2; i2++)
    2049             :     {
    2050       58026 :         multirange_get_bounds(rangetyp, mr2, i2, &lower2, &upper2);
    2051             : 
    2052             :         /* Discard r1s while r1 << r2 */
    2053       58158 :         while (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0)
    2054             :         {
    2055         234 :             if (++i1 >= range_count1)
    2056         102 :                 return false;
    2057         132 :             multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2058             :         }
    2059             : 
    2060             :         /*
    2061             :          * If r1 && r2, we're done, otherwise we failed to find an overlap for
    2062             :          * r2, so go to the next one.
    2063             :          */
    2064       57924 :         if (range_bounds_overlaps(rangetyp, &lower1, &upper1, &lower2, &upper2))
    2065        2712 :             return true;
    2066             :     }
    2067             : 
    2068             :     /* We looked through all of mr2 without finding an overlap */
    2069       17916 :     return false;
    2070             : }
    2071             : 
    2072             : /* does not extend to right of? */
    2073             : bool
    2074       73476 : range_overleft_multirange_internal(TypeCacheEntry *rangetyp,
    2075             :                                    const RangeType *r,
    2076             :                                    const MultirangeType *mr)
    2077             : {
    2078             :     RangeBound  lower1,
    2079             :                 upper1,
    2080             :                 lower2,
    2081             :                 upper2;
    2082             :     bool        empty;
    2083             : 
    2084       73476 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2085        6012 :         PG_RETURN_BOOL(false);
    2086             : 
    2087             : 
    2088       67464 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2089             :     Assert(!empty);
    2090       67464 :     multirange_get_bounds(rangetyp, mr, mr->rangeCount - 1,
    2091             :                           &lower2, &upper2);
    2092             : 
    2093       67464 :     PG_RETURN_BOOL(range_cmp_bounds(rangetyp, &upper1, &upper2) <= 0);
    2094             : }
    2095             : 
    2096             : Datum
    2097       37242 : range_overleft_multirange(PG_FUNCTION_ARGS)
    2098             : {
    2099       37242 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2100       37242 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2101             :     TypeCacheEntry *typcache;
    2102             : 
    2103       37242 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2104             : 
    2105       37242 :     PG_RETURN_BOOL(range_overleft_multirange_internal(typcache->rngtype, r, mr));
    2106             : }
    2107             : 
    2108             : Datum
    2109       47286 : multirange_overleft_range(PG_FUNCTION_ARGS)
    2110             : {
    2111       47286 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2112       47286 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2113             :     TypeCacheEntry *typcache;
    2114             :     RangeBound  lower1,
    2115             :                 upper1,
    2116             :                 lower2,
    2117             :                 upper2;
    2118             :     bool        empty;
    2119             : 
    2120       47286 :     if (MultirangeIsEmpty(mr) || RangeIsEmpty(r))
    2121       25212 :         PG_RETURN_BOOL(false);
    2122             : 
    2123       22074 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2124             : 
    2125       22074 :     multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    2126             :                           &lower1, &upper1);
    2127       22074 :     range_deserialize(typcache->rngtype, r, &lower2, &upper2, &empty);
    2128             :     Assert(!empty);
    2129             : 
    2130       22074 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &upper1, &upper2) <= 0);
    2131             : }
    2132             : 
    2133             : Datum
    2134       47292 : multirange_overleft_multirange(PG_FUNCTION_ARGS)
    2135             : {
    2136       47292 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2137       47292 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2138             :     TypeCacheEntry *typcache;
    2139             :     RangeBound  lower1,
    2140             :                 upper1,
    2141             :                 lower2,
    2142             :                 upper2;
    2143             : 
    2144       47292 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2145       25218 :         PG_RETURN_BOOL(false);
    2146             : 
    2147       22074 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2148             : 
    2149       22074 :     multirange_get_bounds(typcache->rngtype, mr1, mr1->rangeCount - 1,
    2150             :                           &lower1, &upper1);
    2151       22074 :     multirange_get_bounds(typcache->rngtype, mr2, mr2->rangeCount - 1,
    2152             :                           &lower2, &upper2);
    2153             : 
    2154       22074 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &upper1, &upper2) <= 0);
    2155             : }
    2156             : 
    2157             : /* does not extend to left of? */
    2158             : bool
    2159      119348 : range_overright_multirange_internal(TypeCacheEntry *rangetyp,
    2160             :                                     const RangeType *r,
    2161             :                                     const MultirangeType *mr)
    2162             : {
    2163             :     RangeBound  lower1,
    2164             :                 upper1,
    2165             :                 lower2,
    2166             :                 upper2;
    2167             :     bool        empty;
    2168             : 
    2169      119348 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2170        6012 :         PG_RETURN_BOOL(false);
    2171             : 
    2172      113336 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2173             :     Assert(!empty);
    2174      113336 :     multirange_get_bounds(rangetyp, mr, 0, &lower2, &upper2);
    2175             : 
    2176      113336 :     return (range_cmp_bounds(rangetyp, &lower1, &lower2) >= 0);
    2177             : }
    2178             : 
    2179             : Datum
    2180       37242 : range_overright_multirange(PG_FUNCTION_ARGS)
    2181             : {
    2182       37242 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2183       37242 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2184             :     TypeCacheEntry *typcache;
    2185             : 
    2186       37242 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2187             : 
    2188       37242 :     PG_RETURN_BOOL(range_overright_multirange_internal(typcache->rngtype, r, mr));
    2189             : }
    2190             : 
    2191             : Datum
    2192       61800 : multirange_overright_range(PG_FUNCTION_ARGS)
    2193             : {
    2194       61800 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2195       61800 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2196             :     TypeCacheEntry *typcache;
    2197             :     RangeBound  lower1,
    2198             :                 upper1,
    2199             :                 lower2,
    2200             :                 upper2;
    2201             :     bool        empty;
    2202             : 
    2203       61800 :     if (MultirangeIsEmpty(mr) || RangeIsEmpty(r))
    2204       25212 :         PG_RETURN_BOOL(false);
    2205             : 
    2206       36588 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2207             : 
    2208       36588 :     multirange_get_bounds(typcache->rngtype, mr, 0, &lower1, &upper1);
    2209       36588 :     range_deserialize(typcache->rngtype, r, &lower2, &upper2, &empty);
    2210             :     Assert(!empty);
    2211             : 
    2212       36588 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &lower1, &lower2) >= 0);
    2213             : }
    2214             : 
    2215             : Datum
    2216       61806 : multirange_overright_multirange(PG_FUNCTION_ARGS)
    2217             : {
    2218       61806 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2219       61806 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2220             :     TypeCacheEntry *typcache;
    2221             :     RangeBound  lower1,
    2222             :                 upper1,
    2223             :                 lower2,
    2224             :                 upper2;
    2225             : 
    2226       61806 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2227       25218 :         PG_RETURN_BOOL(false);
    2228             : 
    2229       36588 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2230             : 
    2231       36588 :     multirange_get_bounds(typcache->rngtype, mr1, 0, &lower1, &upper1);
    2232       36588 :     multirange_get_bounds(typcache->rngtype, mr2, 0, &lower2, &upper2);
    2233             : 
    2234       36588 :     PG_RETURN_BOOL(range_cmp_bounds(typcache->rngtype, &lower1, &lower2) >= 0);
    2235             : }
    2236             : 
    2237             : /* contains? */
    2238             : Datum
    2239      156312 : multirange_contains_multirange(PG_FUNCTION_ARGS)
    2240             : {
    2241      156312 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2242      156312 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2243             :     TypeCacheEntry *typcache;
    2244             : 
    2245      156312 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2246             : 
    2247      156312 :     PG_RETURN_BOOL(multirange_contains_multirange_internal(typcache->rngtype, mr1, mr2));
    2248             : }
    2249             : 
    2250             : /* contained by? */
    2251             : Datum
    2252       50598 : multirange_contained_by_multirange(PG_FUNCTION_ARGS)
    2253             : {
    2254       50598 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2255       50598 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2256             :     TypeCacheEntry *typcache;
    2257             : 
    2258       50598 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2259             : 
    2260       50598 :     PG_RETURN_BOOL(multirange_contains_multirange_internal(typcache->rngtype, mr2, mr1));
    2261             : }
    2262             : 
    2263             : /*
    2264             :  * Test whether multirange mr1 contains every range from another multirange mr2.
    2265             :  */
    2266             : bool
    2267      206910 : multirange_contains_multirange_internal(TypeCacheEntry *rangetyp,
    2268             :                                         const MultirangeType *mr1,
    2269             :                                         const MultirangeType *mr2)
    2270             : {
    2271      206910 :     int32       range_count1 = mr1->rangeCount;
    2272      206910 :     int32       range_count2 = mr2->rangeCount;
    2273             :     int         i1,
    2274             :                 i2;
    2275             :     RangeBound  lower1,
    2276             :                 upper1,
    2277             :                 lower2,
    2278             :                 upper2;
    2279             : 
    2280             :     /*
    2281             :      * We follow the same logic for empties as ranges: - an empty multirange
    2282             :      * contains an empty range/multirange. - an empty multirange can't contain
    2283             :      * any other range/multirange. - an empty multirange is contained by any
    2284             :      * other range/multirange.
    2285             :      */
    2286             : 
    2287      206910 :     if (range_count2 == 0)
    2288      145212 :         return true;
    2289       61698 :     if (range_count1 == 0)
    2290       22296 :         return false;
    2291             : 
    2292             :     /*
    2293             :      * Every range in mr2 must be contained by some range in mr1. To avoid
    2294             :      * O(n^2) we walk through both ranges in tandem.
    2295             :      */
    2296       39402 :     i1 = 0;
    2297       39402 :     multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2298       42516 :     for (i2 = 0; i2 < range_count2; i2++)
    2299             :     {
    2300       41040 :         multirange_get_bounds(rangetyp, mr2, i2, &lower2, &upper2);
    2301             : 
    2302             :         /* Discard r1s while r1 << r2 */
    2303       77334 :         while (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0)
    2304             :         {
    2305       53940 :             if (++i1 >= range_count1)
    2306       17646 :                 return false;
    2307       36294 :             multirange_get_bounds(rangetyp, mr1, i1, &lower1, &upper1);
    2308             :         }
    2309             : 
    2310             :         /*
    2311             :          * If r1 @> r2, go to the next r2, otherwise return false (since every
    2312             :          * r1[n] and r1[n+1] must have a gap). Note this will give weird
    2313             :          * answers if you don't canonicalize, e.g. with a custom
    2314             :          * int2multirange {[1,1], [2,2]} there is a "gap". But that is
    2315             :          * consistent with other range operators, e.g. '[1,1]'::int2range -|-
    2316             :          * '[2,2]'::int2range is false.
    2317             :          */
    2318       23394 :         if (!range_bounds_contains(rangetyp, &lower1, &upper1,
    2319             :                                    &lower2, &upper2))
    2320       20280 :             return false;
    2321             :     }
    2322             : 
    2323             :     /* All ranges in mr2 are satisfied */
    2324        1476 :     return true;
    2325             : }
    2326             : 
    2327             : /* strictly left of? */
    2328             : Datum
    2329       37230 : range_before_multirange(PG_FUNCTION_ARGS)
    2330             : {
    2331       37230 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2332       37230 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2333             :     TypeCacheEntry *typcache;
    2334             : 
    2335       37230 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2336             : 
    2337       37230 :     PG_RETURN_BOOL(range_before_multirange_internal(typcache->rngtype, r, mr));
    2338             : }
    2339             : 
    2340             : Datum
    2341       44760 : multirange_before_range(PG_FUNCTION_ARGS)
    2342             : {
    2343       44760 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2344       44760 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2345             :     TypeCacheEntry *typcache;
    2346             : 
    2347       44760 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2348             : 
    2349       44760 :     PG_RETURN_BOOL(range_after_multirange_internal(typcache->rngtype, r, mr));
    2350             : }
    2351             : 
    2352             : Datum
    2353       44766 : multirange_before_multirange(PG_FUNCTION_ARGS)
    2354             : {
    2355       44766 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2356       44766 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2357             :     TypeCacheEntry *typcache;
    2358             : 
    2359       44766 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2360             : 
    2361       44766 :     PG_RETURN_BOOL(multirange_before_multirange_internal(typcache->rngtype, mr1, mr2));
    2362             : }
    2363             : 
    2364             : /* strictly right of? */
    2365             : Datum
    2366       37236 : range_after_multirange(PG_FUNCTION_ARGS)
    2367             : {
    2368       37236 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2369       37236 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2370             :     TypeCacheEntry *typcache;
    2371             : 
    2372       37236 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2373             : 
    2374       37236 :     PG_RETURN_BOOL(range_after_multirange_internal(typcache->rngtype, r, mr));
    2375             : }
    2376             : 
    2377             : Datum
    2378       56748 : multirange_after_range(PG_FUNCTION_ARGS)
    2379             : {
    2380       56748 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2381       56748 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2382             :     TypeCacheEntry *typcache;
    2383             : 
    2384       56748 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2385             : 
    2386       56748 :     PG_RETURN_BOOL(range_before_multirange_internal(typcache->rngtype, r, mr));
    2387             : }
    2388             : 
    2389             : Datum
    2390       56760 : multirange_after_multirange(PG_FUNCTION_ARGS)
    2391             : {
    2392       56760 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2393       56760 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2394             :     TypeCacheEntry *typcache;
    2395             : 
    2396       56760 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2397             : 
    2398       56760 :     PG_RETURN_BOOL(multirange_before_multirange_internal(typcache->rngtype, mr2, mr1));
    2399             : }
    2400             : 
    2401             : /* strictly left of? (internal version) */
    2402             : bool
    2403      110916 : range_before_multirange_internal(TypeCacheEntry *rangetyp,
    2404             :                                  const RangeType *r,
    2405             :                                  const MultirangeType *mr)
    2406             : {
    2407             :     RangeBound  lower1,
    2408             :                 upper1,
    2409             :                 lower2,
    2410             :                 upper2;
    2411             :     bool        empty;
    2412             : 
    2413      110916 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2414       31224 :         return false;
    2415             : 
    2416       79692 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2417             :     Assert(!empty);
    2418             : 
    2419       79692 :     multirange_get_bounds(rangetyp, mr, 0, &lower2, &upper2);
    2420             : 
    2421       79692 :     return (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0);
    2422             : }
    2423             : 
    2424             : bool
    2425      101526 : multirange_before_multirange_internal(TypeCacheEntry *rangetyp,
    2426             :                                       const MultirangeType *mr1,
    2427             :                                       const MultirangeType *mr2)
    2428             : {
    2429             :     RangeBound  lower1,
    2430             :                 upper1,
    2431             :                 lower2,
    2432             :                 upper2;
    2433             : 
    2434      101526 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2435       50436 :         return false;
    2436             : 
    2437       51090 :     multirange_get_bounds(rangetyp, mr1, mr1->rangeCount - 1,
    2438             :                           &lower1, &upper1);
    2439       51090 :     multirange_get_bounds(rangetyp, mr2, 0,
    2440             :                           &lower2, &upper2);
    2441             : 
    2442       51090 :     return (range_cmp_bounds(rangetyp, &upper1, &lower2) < 0);
    2443             : }
    2444             : 
    2445             : /* strictly right of? (internal version) */
    2446             : bool
    2447      155202 : range_after_multirange_internal(TypeCacheEntry *rangetyp,
    2448             :                                 const RangeType *r,
    2449             :                                 const MultirangeType *mr)
    2450             : {
    2451             :     RangeBound  lower1,
    2452             :                 upper1,
    2453             :                 lower2,
    2454             :                 upper2;
    2455             :     bool        empty;
    2456             :     int32       range_count;
    2457             : 
    2458      155202 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2459       31224 :         return false;
    2460             : 
    2461      123978 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2462             :     Assert(!empty);
    2463             : 
    2464      123978 :     range_count = mr->rangeCount;
    2465      123978 :     multirange_get_bounds(rangetyp, mr, range_count - 1,
    2466             :                           &lower2, &upper2);
    2467             : 
    2468      123978 :     return (range_cmp_bounds(rangetyp, &lower1, &upper2) > 0);
    2469             : }
    2470             : 
    2471             : bool
    2472       92688 : range_adjacent_multirange_internal(TypeCacheEntry *rangetyp,
    2473             :                                    const RangeType *r,
    2474             :                                    const MultirangeType *mr)
    2475             : {
    2476             :     RangeBound  lower1,
    2477             :                 upper1,
    2478             :                 lower2,
    2479             :                 upper2;
    2480             :     bool        empty;
    2481             :     int32       range_count;
    2482             : 
    2483       92688 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2484        6012 :         return false;
    2485             : 
    2486       86676 :     range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
    2487             :     Assert(!empty);
    2488             : 
    2489       86676 :     range_count = mr->rangeCount;
    2490       86676 :     multirange_get_bounds(rangetyp, mr, 0,
    2491             :                           &lower2, &upper2);
    2492             : 
    2493       86676 :     if (bounds_adjacent(rangetyp, upper1, lower2))
    2494          72 :         return true;
    2495             : 
    2496       86604 :     if (range_count > 1)
    2497       79392 :         multirange_get_bounds(rangetyp, mr, range_count - 1,
    2498             :                               &lower2, &upper2);
    2499             : 
    2500       86604 :     if (bounds_adjacent(rangetyp, upper2, lower1))
    2501          84 :         return true;
    2502             : 
    2503       86520 :     return false;
    2504             : }
    2505             : 
    2506             : /* adjacent to? */
    2507             : Datum
    2508       37224 : range_adjacent_multirange(PG_FUNCTION_ARGS)
    2509             : {
    2510       37224 :     RangeType  *r = PG_GETARG_RANGE_P(0);
    2511       37224 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
    2512             :     TypeCacheEntry *typcache;
    2513             : 
    2514       37224 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2515             : 
    2516       37224 :     PG_RETURN_BOOL(range_adjacent_multirange_internal(typcache->rngtype, r, mr));
    2517             : }
    2518             : 
    2519             : Datum
    2520       44442 : multirange_adjacent_range(PG_FUNCTION_ARGS)
    2521             : {
    2522       44442 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2523       44442 :     RangeType  *r = PG_GETARG_RANGE_P(1);
    2524             :     TypeCacheEntry *typcache;
    2525             : 
    2526       44442 :     if (RangeIsEmpty(r) || MultirangeIsEmpty(mr))
    2527       25212 :         return false;
    2528             : 
    2529       19230 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2530             : 
    2531       19230 :     PG_RETURN_BOOL(range_adjacent_multirange_internal(typcache->rngtype, r, mr));
    2532             : }
    2533             : 
    2534             : Datum
    2535       44472 : multirange_adjacent_multirange(PG_FUNCTION_ARGS)
    2536             : {
    2537       44472 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2538       44472 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2539             :     TypeCacheEntry *typcache;
    2540             :     int32       range_count1;
    2541             :     int32       range_count2;
    2542             :     RangeBound  lower1,
    2543             :                 upper1,
    2544             :                 lower2,
    2545             :                 upper2;
    2546             : 
    2547       44472 :     if (MultirangeIsEmpty(mr1) || MultirangeIsEmpty(mr2))
    2548       25218 :         return false;
    2549             : 
    2550       19254 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2551             : 
    2552       19254 :     range_count1 = mr1->rangeCount;
    2553       19254 :     range_count2 = mr2->rangeCount;
    2554       19254 :     multirange_get_bounds(typcache->rngtype, mr1, range_count1 - 1,
    2555             :                           &lower1, &upper1);
    2556       19254 :     multirange_get_bounds(typcache->rngtype, mr2, 0,
    2557             :                           &lower2, &upper2);
    2558       19254 :     if (bounds_adjacent(typcache->rngtype, upper1, lower2))
    2559          30 :         PG_RETURN_BOOL(true);
    2560             : 
    2561       19224 :     if (range_count1 > 1)
    2562       12012 :         multirange_get_bounds(typcache->rngtype, mr1, 0,
    2563             :                               &lower1, &upper1);
    2564       19224 :     if (range_count2 > 1)
    2565       19206 :         multirange_get_bounds(typcache->rngtype, mr2, range_count2 - 1,
    2566             :                               &lower2, &upper2);
    2567       19224 :     if (bounds_adjacent(typcache->rngtype, upper2, lower1))
    2568          24 :         PG_RETURN_BOOL(true);
    2569       19200 :     PG_RETURN_BOOL(false);
    2570             : }
    2571             : 
    2572             : /* Btree support */
    2573             : 
    2574             : /* btree comparator */
    2575             : Datum
    2576         750 : multirange_cmp(PG_FUNCTION_ARGS)
    2577             : {
    2578         750 :     MultirangeType *mr1 = PG_GETARG_MULTIRANGE_P(0);
    2579         750 :     MultirangeType *mr2 = PG_GETARG_MULTIRANGE_P(1);
    2580             :     int32       range_count_1;
    2581             :     int32       range_count_2;
    2582             :     int32       range_count_max;
    2583             :     int32       i;
    2584             :     TypeCacheEntry *typcache;
    2585         750 :     int         cmp = 0;        /* If both are empty we'll use this. */
    2586             : 
    2587             :     /* Different types should be prevented by ANYMULTIRANGE matching rules */
    2588         750 :     if (MultirangeTypeGetOid(mr1) != MultirangeTypeGetOid(mr2))
    2589           0 :         elog(ERROR, "multirange types do not match");
    2590             : 
    2591         750 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr1));
    2592             : 
    2593         750 :     range_count_1 = mr1->rangeCount;
    2594         750 :     range_count_2 = mr2->rangeCount;
    2595             : 
    2596             :     /* Loop over source data */
    2597         750 :     range_count_max = Max(range_count_1, range_count_2);
    2598         798 :     for (i = 0; i < range_count_max; i++)
    2599             :     {
    2600             :         RangeBound  lower1,
    2601             :                     upper1,
    2602             :                     lower2,
    2603             :                     upper2;
    2604             : 
    2605             :         /*
    2606             :          * If one multirange is shorter, it's as if it had empty ranges at the
    2607             :          * end to extend its length. An empty range compares earlier than any
    2608             :          * other range, so the shorter multirange comes before the longer.
    2609             :          * This is the same behavior as in other types, e.g. in strings 'aaa'
    2610             :          * < 'aaaaaa'.
    2611             :          */
    2612         648 :         if (i >= range_count_1)
    2613             :         {
    2614         120 :             cmp = -1;
    2615         600 :             break;
    2616             :         }
    2617         528 :         if (i >= range_count_2)
    2618             :         {
    2619         138 :             cmp = 1;
    2620         138 :             break;
    2621             :         }
    2622             : 
    2623         390 :         multirange_get_bounds(typcache->rngtype, mr1, i, &lower1, &upper1);
    2624         390 :         multirange_get_bounds(typcache->rngtype, mr2, i, &lower2, &upper2);
    2625             : 
    2626         390 :         cmp = range_cmp_bounds(typcache->rngtype, &lower1, &lower2);
    2627         390 :         if (cmp == 0)
    2628          72 :             cmp = range_cmp_bounds(typcache->rngtype, &upper1, &upper2);
    2629         390 :         if (cmp != 0)
    2630         342 :             break;
    2631             :     }
    2632             : 
    2633         750 :     PG_FREE_IF_COPY(mr1, 0);
    2634         750 :     PG_FREE_IF_COPY(mr2, 1);
    2635             : 
    2636         750 :     PG_RETURN_INT32(cmp);
    2637             : }
    2638             : 
    2639             : /* inequality operators using the multirange_cmp function */
    2640             : Datum
    2641         168 : multirange_lt(PG_FUNCTION_ARGS)
    2642             : {
    2643         168 :     int         cmp = multirange_cmp(fcinfo);
    2644             : 
    2645         168 :     PG_RETURN_BOOL(cmp < 0);
    2646             : }
    2647             : 
    2648             : Datum
    2649          96 : multirange_le(PG_FUNCTION_ARGS)
    2650             : {
    2651          96 :     int         cmp = multirange_cmp(fcinfo);
    2652             : 
    2653          96 :     PG_RETURN_BOOL(cmp <= 0);
    2654             : }
    2655             : 
    2656             : Datum
    2657          66 : multirange_ge(PG_FUNCTION_ARGS)
    2658             : {
    2659          66 :     int         cmp = multirange_cmp(fcinfo);
    2660             : 
    2661          66 :     PG_RETURN_BOOL(cmp >= 0);
    2662             : }
    2663             : 
    2664             : Datum
    2665          66 : multirange_gt(PG_FUNCTION_ARGS)
    2666             : {
    2667          66 :     int         cmp = multirange_cmp(fcinfo);
    2668             : 
    2669          66 :     PG_RETURN_BOOL(cmp > 0);
    2670             : }
    2671             : 
    2672             : /* multirange -> range functions */
    2673             : 
    2674             : /* Find the smallest range that includes everything in the multirange */
    2675             : Datum
    2676          36 : range_merge_from_multirange(PG_FUNCTION_ARGS)
    2677             : {
    2678          36 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2679          36 :     Oid         mltrngtypoid = MultirangeTypeGetOid(mr);
    2680             :     TypeCacheEntry *typcache;
    2681             :     RangeType  *result;
    2682             : 
    2683          36 :     typcache = multirange_get_typcache(fcinfo, mltrngtypoid);
    2684             : 
    2685          36 :     if (MultirangeIsEmpty(mr))
    2686             :     {
    2687           6 :         result = make_empty_range(typcache->rngtype);
    2688             :     }
    2689          30 :     else if (mr->rangeCount == 1)
    2690             :     {
    2691          12 :         result = multirange_get_range(typcache->rngtype, mr, 0);
    2692             :     }
    2693             :     else
    2694             :     {
    2695             :         RangeBound  firstLower,
    2696             :                     firstUpper,
    2697             :                     lastLower,
    2698             :                     lastUpper;
    2699             : 
    2700          18 :         multirange_get_bounds(typcache->rngtype, mr, 0,
    2701             :                               &firstLower, &firstUpper);
    2702          18 :         multirange_get_bounds(typcache->rngtype, mr, mr->rangeCount - 1,
    2703             :                               &lastLower, &lastUpper);
    2704             : 
    2705          18 :         result = make_range(typcache->rngtype, &firstLower, &lastUpper,
    2706             :                             false, NULL);
    2707             :     }
    2708             : 
    2709          36 :     PG_RETURN_RANGE_P(result);
    2710             : }
    2711             : 
    2712             : /* Turn multirange into a set of ranges */
    2713             : Datum
    2714          72 : multirange_unnest(PG_FUNCTION_ARGS)
    2715             : {
    2716             :     typedef struct
    2717             :     {
    2718             :         MultirangeType *mr;
    2719             :         TypeCacheEntry *typcache;
    2720             :         int         index;
    2721             :     } multirange_unnest_fctx;
    2722             : 
    2723             :     FuncCallContext *funcctx;
    2724             :     multirange_unnest_fctx *fctx;
    2725             :     MemoryContext oldcontext;
    2726             : 
    2727             :     /* stuff done only on the first call of the function */
    2728          72 :     if (SRF_IS_FIRSTCALL())
    2729             :     {
    2730             :         MultirangeType *mr;
    2731             : 
    2732             :         /* create a function context for cross-call persistence */
    2733          24 :         funcctx = SRF_FIRSTCALL_INIT();
    2734             : 
    2735             :         /*
    2736             :          * switch to memory context appropriate for multiple function calls
    2737             :          */
    2738          24 :         oldcontext = MemoryContextSwitchTo(funcctx->multi_call_memory_ctx);
    2739             : 
    2740             :         /*
    2741             :          * Get the multirange value and detoast if needed.  We can't do this
    2742             :          * earlier because if we have to detoast, we want the detoasted copy
    2743             :          * to be in multi_call_memory_ctx, so it will go away when we're done
    2744             :          * and not before.  (If no detoast happens, we assume the originally
    2745             :          * passed multirange will stick around till then.)
    2746             :          */
    2747          24 :         mr = PG_GETARG_MULTIRANGE_P(0);
    2748             : 
    2749             :         /* allocate memory for user context */
    2750          24 :         fctx = (multirange_unnest_fctx *) palloc(sizeof(multirange_unnest_fctx));
    2751             : 
    2752             :         /* initialize state */
    2753          24 :         fctx->mr = mr;
    2754          24 :         fctx->index = 0;
    2755          24 :         fctx->typcache = lookup_type_cache(MultirangeTypeGetOid(mr),
    2756             :                                            TYPECACHE_MULTIRANGE_INFO);
    2757             : 
    2758          24 :         funcctx->user_fctx = fctx;
    2759          24 :         MemoryContextSwitchTo(oldcontext);
    2760             :     }
    2761             : 
    2762             :     /* stuff done on every call of the function */
    2763          72 :     funcctx = SRF_PERCALL_SETUP();
    2764          72 :     fctx = funcctx->user_fctx;
    2765             : 
    2766          72 :     if (fctx->index < fctx->mr->rangeCount)
    2767             :     {
    2768             :         RangeType  *range;
    2769             : 
    2770          48 :         range = multirange_get_range(fctx->typcache->rngtype,
    2771          48 :                                      fctx->mr,
    2772             :                                      fctx->index);
    2773          48 :         fctx->index++;
    2774             : 
    2775          48 :         SRF_RETURN_NEXT(funcctx, RangeTypePGetDatum(range));
    2776             :     }
    2777             :     else
    2778             :     {
    2779             :         /* do when there is no more left */
    2780          24 :         SRF_RETURN_DONE(funcctx);
    2781             :     }
    2782             : }
    2783             : 
    2784             : /* Hash support */
    2785             : 
    2786             : /* hash a multirange value */
    2787             : Datum
    2788         306 : hash_multirange(PG_FUNCTION_ARGS)
    2789             : {
    2790         306 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2791         306 :     uint32      result = 1;
    2792             :     TypeCacheEntry *typcache,
    2793             :                *scache;
    2794             :     int32       range_count,
    2795             :                 i;
    2796             : 
    2797         306 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2798         306 :     scache = typcache->rngtype->rngelemtype;
    2799         306 :     if (!OidIsValid(scache->hash_proc_finfo.fn_oid))
    2800             :     {
    2801           6 :         scache = lookup_type_cache(scache->type_id,
    2802             :                                    TYPECACHE_HASH_PROC_FINFO);
    2803           6 :         if (!OidIsValid(scache->hash_proc_finfo.fn_oid))
    2804           0 :             ereport(ERROR,
    2805             :                     (errcode(ERRCODE_UNDEFINED_FUNCTION),
    2806             :                      errmsg("could not identify a hash function for type %s",
    2807             :                             format_type_be(scache->type_id))));
    2808             :     }
    2809             : 
    2810         306 :     range_count = mr->rangeCount;
    2811         546 :     for (i = 0; i < range_count; i++)
    2812             :     {
    2813             :         RangeBound  lower,
    2814             :                     upper;
    2815         240 :         uint8       flags = MultirangeGetFlagsPtr(mr)[i];
    2816             :         uint32      lower_hash;
    2817             :         uint32      upper_hash;
    2818             :         uint32      range_hash;
    2819             : 
    2820         240 :         multirange_get_bounds(typcache->rngtype, mr, i, &lower, &upper);
    2821             : 
    2822         240 :         if (RANGE_HAS_LBOUND(flags))
    2823         180 :             lower_hash = DatumGetUInt32(FunctionCall1Coll(&scache->hash_proc_finfo,
    2824         180 :                                                           typcache->rngtype->rng_collation,
    2825             :                                                           lower.val));
    2826             :         else
    2827          60 :             lower_hash = 0;
    2828             : 
    2829         240 :         if (RANGE_HAS_UBOUND(flags))
    2830         186 :             upper_hash = DatumGetUInt32(FunctionCall1Coll(&scache->hash_proc_finfo,
    2831         186 :                                                           typcache->rngtype->rng_collation,
    2832             :                                                           upper.val));
    2833             :         else
    2834          54 :             upper_hash = 0;
    2835             : 
    2836             :         /* Merge hashes of flags and bounds */
    2837         240 :         range_hash = hash_uint32((uint32) flags);
    2838         240 :         range_hash ^= lower_hash;
    2839         240 :         range_hash = pg_rotate_left32(range_hash, 1);
    2840         240 :         range_hash ^= upper_hash;
    2841             : 
    2842             :         /*
    2843             :          * Use the same approach as hash_array to combine the individual
    2844             :          * elements' hash values:
    2845             :          */
    2846         240 :         result = (result << 5) - result + range_hash;
    2847             :     }
    2848             : 
    2849         306 :     PG_FREE_IF_COPY(mr, 0);
    2850             : 
    2851         306 :     PG_RETURN_UINT32(result);
    2852             : }
    2853             : 
    2854             : /*
    2855             :  * Returns 64-bit value by hashing a value to a 64-bit value, with a seed.
    2856             :  * Otherwise, similar to hash_multirange.
    2857             :  */
    2858             : Datum
    2859          60 : hash_multirange_extended(PG_FUNCTION_ARGS)
    2860             : {
    2861          60 :     MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
    2862          60 :     Datum       seed = PG_GETARG_DATUM(1);
    2863          60 :     uint64      result = 1;
    2864             :     TypeCacheEntry *typcache,
    2865             :                *scache;
    2866             :     int32       range_count,
    2867             :                 i;
    2868             : 
    2869          60 :     typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
    2870          60 :     scache = typcache->rngtype->rngelemtype;
    2871          60 :     if (!OidIsValid(scache->hash_extended_proc_finfo.fn_oid))
    2872             :     {
    2873           0 :         scache = lookup_type_cache(scache->type_id,
    2874             :                                    TYPECACHE_HASH_EXTENDED_PROC_FINFO);
    2875           0 :         if (!OidIsValid(scache->hash_extended_proc_finfo.fn_oid))
    2876           0 :             ereport(ERROR,
    2877             :                     (errcode(ERRCODE_UNDEFINED_FUNCTION),
    2878             :                      errmsg("could not identify a hash function for type %s",
    2879             :                             format_type_be(scache->type_id))));
    2880             :     }
    2881             : 
    2882          60 :     range_count = mr->rangeCount;
    2883         120 :     for (i = 0; i < range_count; i++)
    2884             :     {
    2885             :         RangeBound  lower,
    2886             :                     upper;
    2887          60 :         uint8       flags = MultirangeGetFlagsPtr(mr)[i];
    2888             :         uint64      lower_hash;
    2889             :         uint64      upper_hash;
    2890             :         uint64      range_hash;
    2891             : 
    2892          60 :         multirange_get_bounds(typcache->rngtype, mr, i, &lower, &upper);
    2893             : 
    2894          60 :         if (RANGE_HAS_LBOUND(flags))
    2895          60 :             lower_hash = DatumGetUInt64(FunctionCall2Coll(&scache->hash_extended_proc_finfo,
    2896          60 :                                                           typcache->rngtype->rng_collation,
    2897             :                                                           lower.val,
    2898             :                                                           seed));
    2899             :         else
    2900           0 :             lower_hash = 0;
    2901             : 
    2902          60 :         if (RANGE_HAS_UBOUND(flags))
    2903          60 :             upper_hash = DatumGetUInt64(FunctionCall2Coll(&scache->hash_extended_proc_finfo,
    2904          60 :                                                           typcache->rngtype->rng_collation,
    2905             :                                                           upper.val,
    2906             :                                                           seed));
    2907             :         else
    2908           0 :             upper_hash = 0;
    2909             : 
    2910             :         /* Merge hashes of flags and bounds */
    2911          60 :         range_hash = DatumGetUInt64(hash_uint32_extended((uint32) flags,
    2912          60 :                                                          DatumGetInt64(seed)));
    2913          60 :         range_hash ^= lower_hash;
    2914          60 :         range_hash = ROTATE_HIGH_AND_LOW_32BITS(range_hash);
    2915          60 :         range_hash ^= upper_hash;
    2916             : 
    2917             :         /*
    2918             :          * Use the same approach as hash_array to combine the individual
    2919             :          * elements' hash values:
    2920             :          */
    2921          60 :         result = (result << 5) - result + range_hash;
    2922             :     }
    2923             : 
    2924          60 :     PG_FREE_IF_COPY(mr, 0);
    2925             : 
    2926          60 :     PG_RETURN_UINT64(result);
    2927             : }

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