Version 2 attached. Fixed a few issues, expanded tests, added docs.

A simple performance test (script attached) shows about a 5X
improvement when comparing against a nested loop with an inner
index-only scan over a gist index.

Even better, this doesn't require an index, so it will work even if
the input relations are subqueries.

Regards,
    Jeff Davis

On Thu, Apr 6, 2017 at 1:43 AM, Jeff Davis <pg...@j-davis.com> wrote:
> ========
> Example:
> ========
>
> Find different people using the same website at the same time:
>
> create table session(sessionid text, username text, during tstzrange);
> SELECT s1.username, s2.username, s1.during * s2.during
>   FROM session s1, session s2
>   WHERE s1.during && s2.during AND s1.username < s2.username
>
>
> =====================================
> Brief summary of previous discussion:
> =====================================
>
> http://www.postgresql.org/message-id/1334554850.10878.52.camel@jdavis
>
> - can indexes solve it already (parameterized paths, etc.)?
> - planner complexity (track path keys, mergejoinable equality, etc.)
> - spatial join algorithm choice
> - compare range merge join against existing indexes to see if any
>   indexing approach is viable
>
> ==========
> Externals:
> ==========
>
> No new syntax or other externals. Just improved execution strategy for
> joining ranges using the overlaps operator (&&).
>
> New syntax is possible, but I don't see a strong reason to support
> special range join syntax at this time.
>
> =============
> Optimizer Design
> =============
>
> I took the path of least resistance, so if I am doing something wrong
> please let me know. I hardwired it to look for the range overlaps
> operator when checking if it could do a merge join, and then add
> range_ops to restrictinfo->mergeopfamilies.
>
> Then, I have to suppress adding it as an equivalence class, because
> overlaps is not equality. It still adds single-member ECs to
> restrictinfo->right_ec and left_ec, but (I think) that's OK.
>
> Also, I have to prevent generating paths for right/full join, because
> the range join algorithm can't (currently) handle those.
>
> =============
> Costing
> =============
>
> Needs more consideration. Seems to do reasonable things in the few
> examples I tried.
>
> =============
> Executor Design
> =============
>
> See detailed comments in nodeMergejoin.c
>
> =============
> Performance
> =============
>
> Seems much better than index nest loop join when the join is not
> selective. I will post detailed numbers soon.
>
> If no index is available, range merge join is the only reasonable way
> to execute a range join. For instance, if the inner is not a leaf in
> the plan.
>
> =============
> Alternatives:
> =============
>
> It was suggested that I approach it as a general spatial-join
> problem. That has merit, but I rejected it for now because the
> algorithm that I think has the most promise is range-oriented
> anyway. By that I mean we would need to extract all of the dimensions
> into ranges first, and then perform the join. With that in mind, it
> makes sense to implement range joins first; and then later provide the
> APIs to get at the spatial dimensions so that we can implement other
> spatial joins as range joins.
>
> Another suggestion was to base it on hash join, but I never understood
> that proposal and it didn't seem to map very well to a spatial join.
>
> Yet another suggestion was to use some kind of temporary index. Some
> brief experiments I did indicated that it would be fairly slow (though
> more investigation might be useful here). Also, it doesn't provide any
> alternative to the nestloop-with-inner-index we already offer at the
> leaf level today.
>
> Regards,
>      Jeff Davis

Attachment: perf.sql
Description: application/sql

diff --git a/doc/src/sgml/rangetypes.sgml b/doc/src/sgml/rangetypes.sgml
index 9557c16..84578a7 100644
*** a/doc/src/sgml/rangetypes.sgml
--- b/doc/src/sgml/rangetypes.sgml
***************
*** 522,525 **** INSERT 0 1
--- 522,595 ----
  </programlisting>
    </para>
   </sect2>
+  <sect2 id="rangetypes-join">
+   <title>Range Join</title>
+ 
+   <indexterm>
+     <primary>range type</primary>
+     <secondary>join</secondary>
+   </indexterm>
+ 
+   <para>
+     A Range Join is a join where one of the join conditions is the range
+     overlaps operator (see <xref linkend="range-operators-table">). In other
+     words, rather than returning rows where corresponding fields are equal, it
+     returns rows where the corresponding fields overlap.
+   </para>
+   <para>
+     For instance, to find users who were active on a website at the same time
+     as they were using a mobile app, you might issue a query like:
+ <programlisting>
+ CREATE TABLE web_session(
+     web_session_id text primary key,
+     username text,
+     during tstzrange);
+ CREATE TABLE app_session(
+     app_session_id text primary key,
+     username text,
+     during tstzrange);
+ INSERT INTO web_session VALUES
+     ('0cc175b9c0f1b6a8', 'user1', '[2017-02-01 09:30, 2017-02-01 10:45)'),
+     ('92eb5ffee6ae2fec', 'user2', '[2017-02-01 09:30, 2017-02-01 10:45)'),
+     ('4a8a08f09d37b737', 'user3', '[2017-02-01 09:30, 2017-02-01 10:45)');
+ INSERT INTO app_session VALUES
+     ('8277e0910d750195', 'user1', '[2017-02-01 10:30, 2017-02-01 11:45)'),
+     ('b448797616e091ad', 'user3', '[2017-02-01 09:00, 2017-02-01 11:00)'),
+     ('95649038408b5f33', 'user4', '[2017-02-01 09:30, 2017-02-01 10:45)');
+ 
+ SELECT w.username,
+        w.during * a.during AS both_during
+     FROM  web_session w, app_session a
+     WHERE w.username = a.username
+     AND w.during && a.during;
+  username |                     both_during                     
+ ----------+-----------------------------------------------------
+  user1    | ["2017-02-01 10:30:00-08","2017-02-01 10:45:00-08")
+  user3    | ["2017-02-01 09:30:00-08","2017-02-01 10:45:00-08")
+ (2 rows)
+ </programlisting>
+   </para>
+   <para>
+     In addition to the general execution strategies available, Postgres also
+     has special support for a variant of Merge Join called Range Merge Join:
+ <programlisting>
+  EXPLAIN (costs off) SELECT w.username,
+        w.during * a.during AS both_during
+     FROM  web_session w, app_session a
+     WHERE w.username = a.username
+     AND w.during && a.during;
+                               QUERY PLAN                              
+ ----------------------------------------------------------------------
+  Range Merge Join
+    Merge Cond: ((w.during && a.during) AND (w.username = a.username))
+    ->  Sort
+          Sort Key: w.during, w.username
+          ->  Seq Scan on web_session w
+    ->  Sort
+          Sort Key: a.during, a.username
+          ->  Seq Scan on app_session a
+ (8 rows)
+ </programlisting>
+   </para>
+  </sect2>
  </sect1>
diff --git a/src/backend/commands/eindex 9359d0a..1010668 100644
*** a/src/backend/commands/explain.c
--- b/src/backend/commands/explain.c
***************
*** 909,915 **** ExplainNode(PlanState *planstate, List *ancestors,
  			pname = sname = "Nested Loop";
  			break;
  		case T_MergeJoin:
! 			pname = "Merge";	/* "Join" gets added by jointype switch */
  			sname = "Merge Join";
  			break;
  		case T_HashJoin:
--- 909,919 ----
  			pname = sname = "Nested Loop";
  			break;
  		case T_MergeJoin:
! 			if (((MergeJoin*)plan)->mergeRangeJoin)
! 				pname = "Range Merge";	/* "Join" gets added by jointype switch */
! 			else
! 				pname = "Merge";	/* "Join" gets added by jointype switch */
! 
  			sname = "Merge Join";
  			break;
  		case T_HashJoin:
diff --git a/src/backend/executor/nodindex 8c483bf..bd312e6 100644
*** a/src/backend/executor/nodeMergejoin.c
--- b/src/backend/executor/nodeMergejoin.c
***************
*** 89,102 ****
--- 89,155 ----
   *		proceed to another state.  This state is stored in the node's
   *		execution state information and is preserved across calls to
   *		ExecMergeJoin. -cim 10/31/89
+  *
+  *		RANGE MERGE JOIN
+  *
+  *		Range Merge Join is a generalization of merge join. When a join
+  *		predicate involves the range overlaps operator (&&), a merge join
+  *		becomes a range join.
+  *
+  *		The input ranges must be ordered by (lower-bound, upper-bound), which
+  *		is the ordinary range_ops operator class. MJCompare must not simply
+  *		use the operator class's comparison semantics though; instead it
+  *		follows these rules:
+  *
+  *		  - return 0 if the outer range overlaps the inner range
+  *		  - return <0 if the outer range is strictly left-of the inner range
+  *		  - return >0 if the outer range is strictly right-of the inner range
+  *
+  *		NB: the above is a simplification considering only a single merge
+  *		clause. When there are multiple merge clauses, it's possible that one
+  *		tuple is neither right-of, nor left-of, nor matching. For instance, if
+  *		an earlier range merge clause matches (overlaps), but a later clause
+  *		fails. In that case, MJCompare returns 0 but sets "noMatch=true". See
+  *		MJCompare.
+  *
+  *		If MJCompare returns >0, later or earlier tuples on the inner side may
+  *		match. For example:
+  *
+  *		    OUTER     INNER
+  *		    ...		 [1,9]  matches current outer
+  *		    [4,5]	 [2,3]  no match
+  *		    ...		 [3,5]  matches current outer
+  *		    ...		 [7,9]  no match and no later matches for current outer
+  *
+  *		Outer tuple [4,5] does not match [2,3], but it matches (overlaps with)
+  *		the earlier tuple [1,9] and the later tuple [3,5]. But once we
+  *		encounter [7,9], we know that no later inner tuple can possibly match
+  *		the outer.
+  *
+  *		When doing a range join, we lose two merge join optimizations:
+  *
+  *		1. Ordinary merge join only restores to the mark if it's equal to the
+  *		   new outer. For range join, we must always restore to the mark
+  *		   because there may be matches after the mark and before the current
+  *		   inner tuple.
+  *		2. After restoring to the mark, ordinary merge join immediately moves
+  *		   to JOINTUPLES. Range join must move to SKIP_TEST first.
+  *
+  *		Range merge join is unable to implement RIGHT/FULL joins. It's also
+  *		unable to cope with reverse sort order, because there could always be
+  *		some later inner range that matches the outer tuple.
   */
  #include "postgres.h"
  
  #include "access/nbtree.h"
+ #include "catalog/pg_operator.h"
  #include "executor/execdebug.h"
  #include "executor/nodeMergejoin.h"
+ #include "nodes/nodeFuncs.h"
  #include "utils/lsyscache.h"
  #include "utils/memutils.h"
+ #include "utils/rangetypes.h"
+ #include "utils/typcache.h"
  
  
  /*
***************
*** 137,142 **** typedef struct MergeJoinClauseData
--- 190,199 ----
  	 * stored here.
  	 */
  	SortSupportData ssup;
+ 
+ 	/* needed for Range Join */
+ 	bool			 isrange;
+ 	TypeCacheEntry	*range_typcache;
  }	MergeJoinClauseData;
  
  /* Result type for MJEvalOuterValues and MJEvalInnerValues */
***************
*** 147,153 **** typedef enum
  	MJEVAL_ENDOFJOIN			/* end of input (physical or effective) */
  } MJEvalResult;
  
- 
  #define MarkInnerTuple(innerTupleSlot, mergestate) \
  	ExecCopySlot((mergestate)->mj_MarkedTupleSlot, (innerTupleSlot))
  
--- 204,209 ----
diff --git a/src/backend/optimizer/path/joiindex 5aedcd1..108d30c 100644
*** a/src/backend/optimizer/path/joinpath.c
--- b/src/backend/optimizer/path/joinpath.c
***************
*** 466,471 **** try_mergejoin_path(PlannerInfo *root,
--- 466,484 ----
  	Relids		required_outer;
  	JoinCostWorkspace workspace;
  
+ 	/* RIGHT/FULL joins don't support range join */
+ 	if (jointype == JOIN_RIGHT || jointype == JOIN_FULL)
+ 	{
+ 		ListCell *lc;
+ 
+ 		foreach(lc, mergeclauses)
+ 		{
+ 			RestrictInfo *restrictinfo = (RestrictInfo *) lfirst(lc);
+ 			if (restrictinfo->rangejoin)
+ 				return;
+ 		}
+ 	}
+ 
  	if (is_partial)
  	{
  		try_partial_mergejoin_path(root,
diff --git a/src/backend/optimizer/path/pathindex 2c26906..2ed2d64 100644
*** a/src/backend/optimizer/path/pathkeys.c
--- b/src/backend/optimizer/path/pathkeys.c
***************
*** 1125,1130 **** select_outer_pathkeys_for_merge(PlannerInfo *root,
--- 1125,1131 ----
  	int			nClauses = list_length(mergeclauses);
  	EquivalenceClass **ecs;
  	int		   *scores;
+ 	bool	   *range_ecs;
  	int			necs;
  	ListCell   *lc;
  	int			j;
***************
*** 1139,1144 **** select_outer_pathkeys_for_merge(PlannerInfo *root,
--- 1140,1146 ----
  	 */
  	ecs = (EquivalenceClass **) palloc(nClauses * sizeof(EquivalenceClass *));
  	scores = (int *) palloc(nClauses * sizeof(int));
+ 	range_ecs = palloc(nClauses * sizeof(bool));
  	necs = 0;
  
  	foreach(lc, mergeclauses)
***************
*** 1179,1184 **** select_outer_pathkeys_for_merge(PlannerInfo *root,
--- 1181,1187 ----
  
  		ecs[necs] = oeclass;
  		scores[necs] = score;
+ 		range_ecs[necs] = rinfo->rangejoin;
  		necs++;
  	}
  
***************
*** 1196,1201 **** select_outer_pathkeys_for_merge(PlannerInfo *root,
--- 1199,1209 ----
  
  			for (j = 0; j < necs; j++)
  			{
+ 				/* for range join, the input order must be ascending */
+ 				if (range_ecs[j] &&
+ 					query_pathkey->pk_strategy != BTLessStrategyNumber)
+ 					continue;
+ 
  				if (ecs[j] == query_ec)
  					break;		/* found match */
  			}
diff --git a/src/backend/optimizer/plan/initindex ebd442a..86021c0 100644
*** a/src/backend/optimizer/plan/initsplan.c
--- b/src/backend/optimizer/plan/initsplan.c
***************
*** 14,19 ****
--- 14,20 ----
   */
  #include "postgres.h"
  
+ #include "catalog/pg_operator.h"
  #include "catalog/pg_type.h"
  #include "nodes/nodeFuncs.h"
  #include "optimizer/clauses.h"
***************
*** 1940,1946 **** distribute_qual_to_rels(PlannerInfo *root, Node *clause,
  	 */
  	if (restrictinfo->mergeopfamilies)
  	{
! 		if (maybe_equivalence)
  		{
  			if (check_equivalence_delay(root, restrictinfo) &&
  				process_equivalence(root, restrictinfo, below_outer_join))
--- 1941,1947 ----
  	 */
  	if (restrictinfo->mergeopfamilies)
  	{
! 		if (maybe_equivalence && !restrictinfo->rangejoin)
  		{
  			if (check_equivalence_delay(root, restrictinfo) &&
  				process_equivalence(root, restrictinfo, below_outer_join))
***************
*** 2594,2599 **** check_mergejoinable(RestrictInfo *restrictinfo)
--- 2595,2606 ----
  	opno = ((OpExpr *) clause)->opno;
  	leftarg = linitial(((OpExpr *) clause)->args);
  
+ 	if (opno == OID_RANGE_OVERLAP_OP)
+ 	{
+ 		restrictinfo->rangejoin = true;
+ 		opno = OID_RANGE_EQ_OP;
+ 	}
+ 
  	if (op_mergejoinable(opno, exprType(leftarg)) &&
  		!contain_volatile_functions((Node *) clause))
  		restrictinfo->mergeopfamilies = get_mergejoin_opfamilies(opno);
diff --git a/src/backend/optimizer/util/restrindex e946290..c2d1a23 100644
*** a/src/backend/optimizer/util/restrictinfo.c
--- b/src/backend/optimizer/util/restrictinfo.c
***************
*** 186,191 **** make_restrictinfo_internal(Expr *clause,
--- 186,192 ----
  	restrictinfo->outer_selec = -1;
  
  	restrictinfo->mergeopfamilies = NIL;
+ 	restrictinfo->rangejoin = false;
  
  	restrictinfo->left_ec = NULL;
  	restrictinfo->right_ec = NULL;
diff --git a/src/backend/utils/adt/selfuncs.c b/index a35b93b..5c8c69f 100644
*** a/src/backend/utils/adt/selfuncs.c
--- b/src/backend/utils/adt/selfuncs.c
***************
*** 2860,2866 **** mergejoinscansel(PlannerInfo *root, Node *clause,
  			   *right;
  	VariableStatData leftvar,
  				rightvar;
- 	int			op_strategy;
  	Oid			op_lefttype;
  	Oid			op_righttype;
  	Oid			opno,
--- 2860,2865 ----
diff --git a/src/include/catalog/pg_opeindex fe8795a..1f1ffb4 100644
*** a/src/include/catalog/pg_operator.h
--- b/src/include/catalog/pg_operator.h
***************
*** 1748,1753 **** DESCR("greater than or equal");
--- 1748,1754 ----
  /* generic range type operators */
  DATA(insert OID = 3882 (  "="	   PGNSP PGUID b t t 3831 3831 16 3882 3883 range_eq eqsel eqjoinsel ));
  DESCR("equal");
+ #define OID_RANGE_EQ_OP 3882
  DATA(insert OID = 3883 (  "<>"	   PGNSP PGUID b f f 3831 3831 16 3883 3882 range_ne neqsel neqjoinsel ));
  DESCR("not equal");
  DATA(insert OID = 3884 (  "<"	   PGNSP PGUID b f f 3831 3831 16 3887 3886 range_lt rangesel scalarltjoinsel ));
diff --git a/src/include/nodes/plannodesindex 12f9f61..e2b05e9 100644
*** a/src/include/nodes/plannodes.h
--- b/src/include/nodes/plannodes.h
***************
*** 703,708 **** typedef struct MergeJoin
--- 703,709 ----
  	Oid		   *mergeCollations;	/* per-clause OIDs of collations */
  	int		   *mergeStrategies;	/* per-clause ordering (ASC or DESC) */
  	bool	   *mergeNullsFirst;	/* per-clause nulls ordering */
+ 	bool	    mergeRangeJoin;		/* is this a range merge join? */
  } MergeJoin;
  
  /* ----------------
diff --git a/src/include/nodes/relatindex 7a8e2fd..aa16f9a 100644
*** a/src/include/nodes/relation.h
--- b/src/include/nodes/relation.h
***************
*** 1790,1795 **** typedef struct RestrictInfo
--- 1790,1798 ----
  	/* valid if clause is mergejoinable, else NIL */
  	List	   *mergeopfamilies;	/* opfamilies containing clause operator */
  
+ 	/* is a rangejoin clause? */
+ 	bool	    rangejoin;
+ 
  	/* cache space for mergeclause processing; NULL if not yet set */
  	EquivalenceClass *left_ec;	/* EquivalenceClass containing lefthand */
  	EquivalenceClass *right_ec; /* EquivalenceClass containing righthand */
diff --git a/src/test/regress/expecnew file mode 100644
index 0000000..e8fb835
*** /dev/null
--- b/src/test/regress/expected/rangejoin.out
***************
*** 0 ****
--- 1,526 ----
+ create table rangejoin_left(i1 int, ir1 int4range);
+ create table rangejoin_right(i2 int, ir2 int4range);
+ insert into rangejoin_left values
+        (1001, int4range(10, 80)),
+        (1002, int4range(20, 30)),
+        (1003, int4range(21, 25)),
+        (1004, int4range(22, 35)),
+        (1005, int4range(40, 60)),
+        (1006, int4range(50, 60));
+ insert into rangejoin_right values
+        (1000, 'empty'::int4range),
+        (1001, int4range(NULL,  4)),
+        (1002, int4range(10, 12)),
+        (1003, int4range(11, 14)),
+        (1004, int4range(20, 45)),
+        (1005, int4range(24, 28)),
+        (1006, int4range(85, 90));
+ -- simple inner join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left, rangejoin_right
+   where ir1 && ir2;
+                         QUERY PLAN                         
+ -----------------------------------------------------------
+  Range Merge Join
+    Merge Cond: (rangejoin_left.ir1 && rangejoin_right.ir2)
+    ->  Sort
+          Sort Key: rangejoin_left.ir1
+          ->  Seq Scan on rangejoin_left
+    ->  Sort
+          Sort Key: rangejoin_right.ir2
+          ->  Seq Scan on rangejoin_right
+ (8 rows)
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left, rangejoin_right
+   where ir1 && ir2;
+   i1  |   ir1   |  i2  |   ir2   
+ ------+---------+------+---------
+  1001 | [10,80) | 1002 | [10,12)
+  1001 | [10,80) | 1003 | [11,14)
+  1001 | [10,80) | 1004 | [20,45)
+  1001 | [10,80) | 1005 | [24,28)
+  1002 | [20,30) | 1004 | [20,45)
+  1002 | [20,30) | 1005 | [24,28)
+  1003 | [21,25) | 1004 | [20,45)
+  1003 | [21,25) | 1005 | [24,28)
+  1004 | [22,35) | 1004 | [20,45)
+  1004 | [22,35) | 1005 | [24,28)
+  1005 | [40,60) | 1004 | [20,45)
+ (11 rows)
+ 
+ -- two predicates
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2);
+                                                 QUERY PLAN                                                
+ ----------------------------------------------------------------------------------------------------------
+  Range Merge Join
+    Merge Cond: ((rangejoin_left.ir1 && rangejoin_right.ir2) AND (rangejoin_left.i1 = rangejoin_right.i2))
+    ->  Sort
+          Sort Key: rangejoin_left.ir1, rangejoin_left.i1
+          ->  Seq Scan on rangejoin_left
+    ->  Sort
+          Sort Key: rangejoin_right.ir2, rangejoin_right.i2
+          ->  Seq Scan on rangejoin_right
+ (8 rows)
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2);
+   i1  |   ir1   |  i2  |   ir2   
+ ------+---------+------+---------
+  1004 | [22,35) | 1004 | [20,45)
+ (1 row)
+ 
+ -- left join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left left join rangejoin_right
+     on (ir1 && ir2);
+                         QUERY PLAN                         
+ -----------------------------------------------------------
+  Range Merge Left Join
+    Merge Cond: (rangejoin_left.ir1 && rangejoin_right.ir2)
+    ->  Sort
+          Sort Key: rangejoin_left.ir1
+          ->  Seq Scan on rangejoin_left
+    ->  Sort
+          Sort Key: rangejoin_right.ir2
+          ->  Seq Scan on rangejoin_right
+ (8 rows)
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left left join rangejoin_right
+     on (ir1 && ir2);
+   i1  |   ir1   |  i2  |   ir2   
+ ------+---------+------+---------
+  1001 | [10,80) | 1002 | [10,12)
+  1001 | [10,80) | 1003 | [11,14)
+  1001 | [10,80) | 1004 | [20,45)
+  1001 | [10,80) | 1005 | [24,28)
+  1002 | [20,30) | 1004 | [20,45)
+  1002 | [20,30) | 1005 | [24,28)
+  1003 | [21,25) | 1004 | [20,45)
+  1003 | [21,25) | 1005 | [24,28)
+  1004 | [22,35) | 1004 | [20,45)
+  1004 | [22,35) | 1005 | [24,28)
+  1005 | [40,60) | 1004 | [20,45)
+  1006 | [50,60) |      | 
+ (12 rows)
+ 
+ -- right join should be implemented as left join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left right join rangejoin_right
+     on (ir1 && ir2);
+                         QUERY PLAN                         
+ -----------------------------------------------------------
+  Range Merge Left Join
+    Merge Cond: (rangejoin_right.ir2 && rangejoin_left.ir1)
+    ->  Sort
+          Sort Key: rangejoin_right.ir2
+          ->  Seq Scan on rangejoin_right
+    ->  Sort
+          Sort Key: rangejoin_left.ir1
+          ->  Seq Scan on rangejoin_left
+ (8 rows)
+ 
+ -- full join doesn't support range join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left full join rangejoin_right
+     on (ir1 && ir2);
+ ERROR:  FULL JOIN is only supported with merge-joinable or hash-joinable join conditions
+ -- range input to range join must be ascending
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2)
+   order by ir1 desc, i1;
+                                                    QUERY PLAN                                                   
+ ----------------------------------------------------------------------------------------------------------------
+  Sort
+    Sort Key: rangejoin_left.ir1 DESC, rangejoin_left.i1
+    ->  Range Merge Join
+          Merge Cond: ((rangejoin_left.ir1 && rangejoin_right.ir2) AND (rangejoin_left.i1 = rangejoin_right.i2))
+          ->  Sort
+                Sort Key: rangejoin_left.ir1, rangejoin_left.i1
+                ->  Seq Scan on rangejoin_left
+          ->  Sort
+                Sort Key: rangejoin_right.ir2, rangejoin_right.i2
+                ->  Seq Scan on rangejoin_right
+ (10 rows)
+ 
+ -- but it's OK for non-range inputs to be descending
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2)
+   order by ir1 nulls first, i1 desc;
+                                                 QUERY PLAN                                                
+ ----------------------------------------------------------------------------------------------------------
+  Range Merge Join
+    Merge Cond: ((rangejoin_left.ir1 && rangejoin_right.ir2) AND (rangejoin_left.i1 = rangejoin_right.i2))
+    ->  Sort
+          Sort Key: rangejoin_left.ir1 NULLS FIRST, rangejoin_left.i1 DESC
+          ->  Seq Scan on rangejoin_left
+    ->  Sort
+          Sort Key: rangejoin_right.ir2 NULLS FIRST, rangejoin_right.i2 DESC
+          ->  Seq Scan on rangejoin_right
+ (8 rows)
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2)
+   order by ir1 nulls first, i1 desc;
+   i1  |   ir1   |  i2  |   ir2   
+ ------+---------+------+---------
+  1004 | [22,35) | 1004 | [20,45)
+ (1 row)
+ 
+ drop table rangejoin_left;
+ drop table rangejoin_right;
+ create table multirangejoin_left (ir1 int4range, ir2 int4range);
+ create table multirangejoin_right (ir3 int4range, ir4 int4range);
+ insert into multirangejoin_left values
+   (int4range(30,99), int4range(20,30)),
+   (int4range(2,40), int4range(15,27)),
+   (int4range(61,99), int4range(20,45)),
+   (int4range(22,32), int4range(21,66)),
+   (int4range(36,71), int4range(45,49)),
+   (int4range(9,80), int4range(2,4));
+ insert into multirangejoin_right values
+   (int4range(9,70), int4range(10,78)),
+   (int4range(21,37), int4range(89,99)),
+   (int4range(5,98), int4range(35,97)),
+   (int4range(12,17), int4range(81,92)),
+   (int4range(15,19), int4range(5,55)),
+   (int4range(57,58), int4range(42,80));
+ explain (costs off) select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+                                                               QUERY PLAN                                                               
+ ---------------------------------------------------------------------------------------------------------------------------------------
+  Sort
+    Sort Key: multirangejoin_left.ir1, multirangejoin_left.ir2, multirangejoin_right.ir3, multirangejoin_right.ir4
+    ->  Range Merge Join
+          Merge Cond: ((multirangejoin_left.ir1 && multirangejoin_right.ir3) AND (multirangejoin_left.ir2 && multirangejoin_right.ir4))
+          ->  Sort
+                Sort Key: multirangejoin_left.ir1, multirangejoin_left.ir2
+                ->  Seq Scan on multirangejoin_left
+          ->  Sort
+                Sort Key: multirangejoin_right.ir3, multirangejoin_right.ir4
+                ->  Seq Scan on multirangejoin_right
+ (10 rows)
+ 
+ select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+    ir1   |   ir2   |   ir3   |   ir4   
+ ---------+---------+---------+---------
+  [2,40)  | [15,27) | [9,70)  | [10,78)
+  [2,40)  | [15,27) | [15,19) | [5,55)
+  [22,32) | [21,66) | [5,98)  | [35,97)
+  [22,32) | [21,66) | [9,70)  | [10,78)
+  [30,99) | [20,30) | [9,70)  | [10,78)
+  [36,71) | [45,49) | [5,98)  | [35,97)
+  [36,71) | [45,49) | [9,70)  | [10,78)
+  [36,71) | [45,49) | [57,58) | [42,80)
+  [61,99) | [20,45) | [5,98)  | [35,97)
+  [61,99) | [20,45) | [9,70)  | [10,78)
+ (10 rows)
+ 
+ set enable_mergejoin=false;
+ explain (costs off) select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+                                                                QUERY PLAN                                                               
+ ----------------------------------------------------------------------------------------------------------------------------------------
+  Sort
+    Sort Key: multirangejoin_left.ir1, multirangejoin_left.ir2, multirangejoin_right.ir3, multirangejoin_right.ir4
+    ->  Nested Loop
+          Join Filter: ((multirangejoin_left.ir1 && multirangejoin_right.ir3) AND (multirangejoin_left.ir2 && multirangejoin_right.ir4))
+          ->  Seq Scan on multirangejoin_left
+          ->  Materialize
+                ->  Seq Scan on multirangejoin_right
+ (7 rows)
+ 
+ select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+    ir1   |   ir2   |   ir3   |   ir4   
+ ---------+---------+---------+---------
+  [2,40)  | [15,27) | [9,70)  | [10,78)
+  [2,40)  | [15,27) | [15,19) | [5,55)
+  [22,32) | [21,66) | [5,98)  | [35,97)
+  [22,32) | [21,66) | [9,70)  | [10,78)
+  [30,99) | [20,30) | [9,70)  | [10,78)
+  [36,71) | [45,49) | [5,98)  | [35,97)
+  [36,71) | [45,49) | [9,70)  | [10,78)
+  [36,71) | [45,49) | [57,58) | [42,80)
+  [61,99) | [20,45) | [5,98)  | [35,97)
+  [61,99) | [20,45) | [9,70)  | [10,78)
+ (10 rows)
+ 
+ set enable_mergejoin=true;
+ explain (costs off) select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+                                                               QUERY PLAN                                                               
+ ---------------------------------------------------------------------------------------------------------------------------------------
+  Sort
+    Sort Key: multirangejoin_right.ir4, multirangejoin_right.ir3, multirangejoin_left.ir2, multirangejoin_left.ir1
+    ->  Range Merge Left Join
+          Merge Cond: ((multirangejoin_left.ir1 && multirangejoin_right.ir4) AND (multirangejoin_left.ir2 && multirangejoin_right.ir3))
+          ->  Sort
+                Sort Key: multirangejoin_left.ir1, multirangejoin_left.ir2
+                ->  Seq Scan on multirangejoin_left
+          ->  Sort
+                Sort Key: multirangejoin_right.ir4, multirangejoin_right.ir3
+                ->  Seq Scan on multirangejoin_right
+ (10 rows)
+ 
+ select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+    ir1   |   ir2   |   ir3   |   ir4   
+ ---------+---------+---------+---------
+  [2,40)  | [15,27) | [15,19) | [5,55)
+  [2,40)  | [15,27) | [9,70)  | [10,78)
+  [30,99) | [20,30) | [9,70)  | [10,78)
+  [61,99) | [20,45) | [9,70)  | [10,78)
+  [22,32) | [21,66) | [9,70)  | [10,78)
+  [36,71) | [45,49) | [9,70)  | [10,78)
+  [2,40)  | [15,27) | [5,98)  | [35,97)
+  [30,99) | [20,30) | [5,98)  | [35,97)
+  [61,99) | [20,45) | [5,98)  | [35,97)
+  [36,71) | [45,49) | [5,98)  | [35,97)
+  [30,99) | [20,30) | [21,37) | [89,99)
+  [61,99) | [20,45) | [21,37) | [89,99)
+  [9,80)  | [2,4)   |         | 
+ (13 rows)
+ 
+ set enable_mergejoin=false;
+ explain (costs off) select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+                                                                QUERY PLAN                                                               
+ ----------------------------------------------------------------------------------------------------------------------------------------
+  Sort
+    Sort Key: multirangejoin_right.ir4, multirangejoin_right.ir3, multirangejoin_left.ir2, multirangejoin_left.ir1
+    ->  Nested Loop Left Join
+          Join Filter: ((multirangejoin_left.ir1 && multirangejoin_right.ir4) AND (multirangejoin_left.ir2 && multirangejoin_right.ir3))
+          ->  Seq Scan on multirangejoin_left
+          ->  Materialize
+                ->  Seq Scan on multirangejoin_right
+ (7 rows)
+ 
+ select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+    ir1   |   ir2   |   ir3   |   ir4   
+ ---------+---------+---------+---------
+  [2,40)  | [15,27) | [15,19) | [5,55)
+  [2,40)  | [15,27) | [9,70)  | [10,78)
+  [30,99) | [20,30) | [9,70)  | [10,78)
+  [61,99) | [20,45) | [9,70)  | [10,78)
+  [22,32) | [21,66) | [9,70)  | [10,78)
+  [36,71) | [45,49) | [9,70)  | [10,78)
+  [2,40)  | [15,27) | [5,98)  | [35,97)
+  [30,99) | [20,30) | [5,98)  | [35,97)
+  [61,99) | [20,45) | [5,98)  | [35,97)
+  [36,71) | [45,49) | [5,98)  | [35,97)
+  [30,99) | [20,30) | [21,37) | [89,99)
+  [61,99) | [20,45) | [21,37) | [89,99)
+  [9,80)  | [2,4)   |         | 
+ (13 rows)
+ 
+ set enable_mergejoin=true;
+ drop table multirangejoin_left;
+ drop table multirangejoin_right;
+ create table bigrangejoin_left (i1 int, ir1 int4range);
+ create table bigrangejoin_right (i2 int, ir2 int4range);
+ -- 100 small ranges
+ insert into bigrangejoin_left
+   select g/4,
+ 	 int4range(g,
+ 		   g + case when (g%2=0) then g%7 else 12-(g%11) end)
+     from generate_series(1,100) g;
+ insert into bigrangejoin_right
+   select g/4,
+ 	 int4range(g-7+(g%19),
+ 	           g-7+(g%19) + case when (g%3=0) then g%11 else 17-(g%15) end)
+     from generate_series(1,100) g;
+ -- 10 medium ranges
+ insert into bigrangejoin_left
+   select g/4*10,
+ 	 int4range(g*10,
+ 		   g*10 + case when (g%2=0) then g%7 else 12-(g%11) end)
+     from generate_series(1,10) g;
+ insert into bigrangejoin_right
+   select g/4*10,
+ 	 int4range(g*10-57+(g%173),
+ 	           g*10-57+(g%173) + case when (g%3=0) then g%123 else 97-(g%83) end)
+     from generate_series(1,10) g;
+ insert into bigrangejoin_left select g*11-21, 'empty'::int4range
+   from generate_series(1,9) g;
+ insert into bigrangejoin_right select g*13-29, 'empty'::int4range
+   from generate_series(1,8) g;
+ insert into bigrangejoin_left values
+   (4, int4range(NULL,5)),
+   (93, int4range(95, NULL));
+ insert into bigrangejoin_right values
+   (7, int4range(NULL,3)),
+   (92, int4range(99, NULL));
+ create temp table rangejoin_result1
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ create temp table rangejoin_result2
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ set enable_hashjoin=false;
+ explain (costs off) insert into rangejoin_result1
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+                                                          QUERY PLAN                                                         
+ ----------------------------------------------------------------------------------------------------------------------------
+  Insert on rangejoin_result1
+    ->  Range Merge Left Join
+          Merge Cond: ((bigrangejoin_left.ir1 && bigrangejoin_right.ir2) AND (bigrangejoin_left.i1 = bigrangejoin_right.i2))
+          ->  Sort
+                Sort Key: bigrangejoin_left.ir1 NULLS FIRST, bigrangejoin_left.i1 DESC
+                ->  Seq Scan on bigrangejoin_left
+          ->  Sort
+                Sort Key: bigrangejoin_right.ir2 NULLS FIRST, bigrangejoin_right.i2 DESC
+                ->  Seq Scan on bigrangejoin_right
+ (9 rows)
+ 
+ insert into rangejoin_result1
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+ set enable_hashjoin=true;
+ set enable_mergejoin=false;
+ explain (costs off) insert into rangejoin_result2
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+                                    QUERY PLAN                                   
+ --------------------------------------------------------------------------------
+  Insert on rangejoin_result2
+    ->  Sort
+          Sort Key: bigrangejoin_left.ir1 NULLS FIRST, bigrangejoin_left.i1 DESC
+          ->  Hash Left Join
+                Hash Cond: (bigrangejoin_left.i1 = bigrangejoin_right.i2)
+                Join Filter: (bigrangejoin_left.ir1 && bigrangejoin_right.ir2)
+                ->  Seq Scan on bigrangejoin_left
+                ->  Hash
+                      ->  Seq Scan on bigrangejoin_right
+ (9 rows)
+ 
+ insert into rangejoin_result2
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+ set enable_mergejoin=true;
+ select count(*) from rangejoin_result1;
+  count 
+ -------
+    292
+ (1 row)
+ 
+ select count(*) from rangejoin_result2;
+  count 
+ -------
+    292
+ (1 row)
+ 
+ select * from rangejoin_result1 except select * from rangejoin_result2;
+  i1 | ir1 | i2 | ir2 
+ ----+-----+----+-----
+ (0 rows)
+ 
+ select * from rangejoin_result2 except select * from rangejoin_result1;
+  i1 | ir1 | i2 | ir2 
+ ----+-----+----+-----
+ (0 rows)
+ 
+ drop table rangejoin_result1;
+ drop table rangejoin_result2;
+ create temp table rangejoin_result3
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ create temp table rangejoin_result4
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ explain (costs off) insert into rangejoin_result3
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+                                                          QUERY PLAN                                                         
+ ----------------------------------------------------------------------------------------------------------------------------
+  Insert on rangejoin_result3
+    ->  Range Merge Join
+          Merge Cond: ((bigrangejoin_left.i1 = bigrangejoin_right.i2) AND (bigrangejoin_left.ir1 && bigrangejoin_right.ir2))
+          ->  Sort
+                Sort Key: bigrangejoin_left.i1, bigrangejoin_left.ir1
+                ->  Seq Scan on bigrangejoin_left
+          ->  Sort
+                Sort Key: bigrangejoin_right.i2, bigrangejoin_right.ir2
+                ->  Seq Scan on bigrangejoin_right
+ (9 rows)
+ 
+ insert into rangejoin_result3
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+ set enable_mergejoin=false;
+ explain (costs off) insert into rangejoin_result4
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+                                   QUERY PLAN                                  
+ ------------------------------------------------------------------------------
+  Insert on rangejoin_result4
+    ->  Sort
+          Sort Key: bigrangejoin_left.i1, bigrangejoin_left.ir1
+          ->  Hash Join
+                Hash Cond: (bigrangejoin_left.i1 = bigrangejoin_right.i2)
+                Join Filter: (bigrangejoin_left.ir1 && bigrangejoin_right.ir2)
+                ->  Seq Scan on bigrangejoin_left
+                ->  Hash
+                      ->  Seq Scan on bigrangejoin_right
+ (9 rows)
+ 
+ insert into rangejoin_result4
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+ set enable_mergejoin=true;
+ select count(*) from rangejoin_result3;
+  count 
+ -------
+    259
+ (1 row)
+ 
+ select count(*) from rangejoin_result4;
+  count 
+ -------
+    259
+ (1 row)
+ 
+ select * from rangejoin_result3 except select * from rangejoin_result4;
+  i1 | ir1 | i2 | ir2 
+ ----+-----+----+-----
+ (0 rows)
+ 
+ select * from rangejoin_result4 except select * from rangejoin_result3;
+  i1 | ir1 | i2 | ir2 
+ ----+-----+----+-----
+ (0 rows)
+ 
+ drop table rangejoin_result3;
+ drop table rangejoin_result4;
+ drop table bigrangejoin_left;
+ drop table bigrangejoin_right;
diff --git a/src/test/regress/parallel_schedulindex 1f8f098..4f70bb0 100644
*** a/src/test/regress/parallel_schedule
--- b/src/test/regress/parallel_schedule
***************
*** 109,115 **** test: select_views portals_p2 foreign_key cluster dependency guc bitmapops combo
  # NB: temp.sql does a reconnect which transiently uses 2 connections,
  # so keep this parallel group to at most 19 tests
  # ----------
! test: plancache limit plpgsql copy2 temp domain rangefuncs prepare without_oid conversion truncate alter_table sequence polymorphism rowtypes returning largeobject with xml
  
  # ----------
  # Another group of parallel tests
--- 109,115 ----
  # NB: temp.sql does a reconnect which transiently uses 2 connections,
  # so keep this parallel group to at most 19 tests
  # ----------
! test: plancache limit plpgsql copy2 temp domain rangefuncs rangejoin prepare without_oid conversion truncate alter_table sequence polymorphism rowtypes returning largeobject with xml
  
  # ----------
  # Another group of parallel tests
diff --git a/src/test/regress/serial_scheindex 04206c3..659dc4a 100644
*** a/src/test/regress/serial_schedule
--- b/src/test/regress/serial_schedule
***************
*** 164,169 **** test: copy2
--- 164,170 ----
  test: temp
  test: domain
  test: rangefuncs
+ test: rangejoin
  test: prepare
  test: without_oid
  test: conversion
diff --git a/src/test/regress/sql/rangenew file mode 100644
index 0000000..e1849aa
*** /dev/null
--- b/src/test/regress/sql/rangejoin.sql
***************
*** 0 ****
--- 1,265 ----
+ 
+ create table rangejoin_left(i1 int, ir1 int4range);
+ create table rangejoin_right(i2 int, ir2 int4range);
+ 
+ insert into rangejoin_left values
+        (1001, int4range(10, 80)),
+        (1002, int4range(20, 30)),
+        (1003, int4range(21, 25)),
+        (1004, int4range(22, 35)),
+        (1005, int4range(40, 60)),
+        (1006, int4range(50, 60));
+ 
+ insert into rangejoin_right values
+        (1000, 'empty'::int4range),
+        (1001, int4range(NULL,  4)),
+        (1002, int4range(10, 12)),
+        (1003, int4range(11, 14)),
+        (1004, int4range(20, 45)),
+        (1005, int4range(24, 28)),
+        (1006, int4range(85, 90));
+ 
+ -- simple inner join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left, rangejoin_right
+   where ir1 && ir2;
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left, rangejoin_right
+   where ir1 && ir2;
+ 
+ -- two predicates
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2);
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2);
+ 
+ -- left join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left left join rangejoin_right
+     on (ir1 && ir2);
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left left join rangejoin_right
+     on (ir1 && ir2);
+ 
+ -- right join should be implemented as left join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left right join rangejoin_right
+     on (ir1 && ir2);
+ 
+ -- full join doesn't support range join
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left full join rangejoin_right
+     on (ir1 && ir2);
+ 
+ -- range input to range join must be ascending
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2)
+   order by ir1 desc, i1;
+ 
+ -- but it's OK for non-range inputs to be descending
+ explain (costs off) select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2)
+   order by ir1 nulls first, i1 desc;
+ 
+ select i1, ir1, i2, ir2
+   from rangejoin_left inner join rangejoin_right
+     on (i1 = i2 and ir1 && ir2)
+   order by ir1 nulls first, i1 desc;
+ 
+ drop table rangejoin_left;
+ drop table rangejoin_right;
+ 
+ create table multirangejoin_left (ir1 int4range, ir2 int4range);
+ create table multirangejoin_right (ir3 int4range, ir4 int4range);
+ 
+ insert into multirangejoin_left values
+   (int4range(30,99), int4range(20,30)),
+   (int4range(2,40), int4range(15,27)),
+   (int4range(61,99), int4range(20,45)),
+   (int4range(22,32), int4range(21,66)),
+   (int4range(36,71), int4range(45,49)),
+   (int4range(9,80), int4range(2,4));
+ 
+ 
+ insert into multirangejoin_right values
+   (int4range(9,70), int4range(10,78)),
+   (int4range(21,37), int4range(89,99)),
+   (int4range(5,98), int4range(35,97)),
+   (int4range(12,17), int4range(81,92)),
+   (int4range(15,19), int4range(5,55)),
+   (int4range(57,58), int4range(42,80));
+ 
+ explain (costs off) select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+ 
+ select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+ 
+ set enable_mergejoin=false;
+ explain (costs off) select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+ 
+ select *
+   from multirangejoin_left inner join multirangejoin_right
+     on (ir1 && ir3 and ir2 && ir4) order by ir1, ir2, ir3, ir4;
+ set enable_mergejoin=true;
+ 
+ explain (costs off) select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+ 
+ select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+ 
+ set enable_mergejoin=false;
+ explain (costs off) select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+ 
+ select *
+   from multirangejoin_left left join multirangejoin_right
+     on (ir1 && ir4 and ir2 && ir3) order by ir4, ir3, ir2, ir1;
+ set enable_mergejoin=true;
+ 
+ drop table multirangejoin_left;
+ drop table multirangejoin_right;
+ 
+ create table bigrangejoin_left (i1 int, ir1 int4range);
+ create table bigrangejoin_right (i2 int, ir2 int4range);
+ 
+ -- 100 small ranges
+ insert into bigrangejoin_left
+   select g/4,
+ 	 int4range(g,
+ 		   g + case when (g%2=0) then g%7 else 12-(g%11) end)
+     from generate_series(1,100) g;
+ insert into bigrangejoin_right
+   select g/4,
+ 	 int4range(g-7+(g%19),
+ 	           g-7+(g%19) + case when (g%3=0) then g%11 else 17-(g%15) end)
+     from generate_series(1,100) g;
+ 
+ -- 10 medium ranges
+ insert into bigrangejoin_left
+   select g/4*10,
+ 	 int4range(g*10,
+ 		   g*10 + case when (g%2=0) then g%7 else 12-(g%11) end)
+     from generate_series(1,10) g;
+ insert into bigrangejoin_right
+   select g/4*10,
+ 	 int4range(g*10-57+(g%173),
+ 	           g*10-57+(g%173) + case when (g%3=0) then g%123 else 97-(g%83) end)
+     from generate_series(1,10) g;
+ 
+ insert into bigrangejoin_left select g*11-21, 'empty'::int4range
+   from generate_series(1,9) g;
+ 
+ insert into bigrangejoin_right select g*13-29, 'empty'::int4range
+   from generate_series(1,8) g;
+ 
+ insert into bigrangejoin_left values
+   (4, int4range(NULL,5)),
+   (93, int4range(95, NULL));
+ 
+ insert into bigrangejoin_right values
+   (7, int4range(NULL,3)),
+   (92, int4range(99, NULL));
+ 
+ create temp table rangejoin_result1
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ create temp table rangejoin_result2
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ 
+ set enable_hashjoin=false;
+ explain (costs off) insert into rangejoin_result1
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+ 
+ insert into rangejoin_result1
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+ set enable_hashjoin=true;
+ 
+ set enable_mergejoin=false;
+ explain (costs off) insert into rangejoin_result2
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+ 
+ insert into rangejoin_result2
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left left join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by ir1 nulls first, i1 desc;
+ set enable_mergejoin=true;
+ 
+ select count(*) from rangejoin_result1;
+ select count(*) from rangejoin_result2;
+ 
+ select * from rangejoin_result1 except select * from rangejoin_result2;
+ 
+ select * from rangejoin_result2 except select * from rangejoin_result1;
+ 
+ drop table rangejoin_result1;
+ drop table rangejoin_result2;
+ 
+ create temp table rangejoin_result3
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ create temp table rangejoin_result4
+   (i1 int, ir1 int4range, i2 int, ir2 int4range);
+ 
+ 
+ explain (costs off) insert into rangejoin_result3
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+ 
+ insert into rangejoin_result3
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+ 
+ set enable_mergejoin=false;
+ explain (costs off) insert into rangejoin_result4
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+ 
+ insert into rangejoin_result4
+   select i1, ir1, i2, ir2
+     from bigrangejoin_left inner join bigrangejoin_right
+       on (i1 = i2 and ir1 && ir2)
+         order by i1, ir1;
+ set enable_mergejoin=true;
+ 
+ select count(*) from rangejoin_result3;
+ select count(*) from rangejoin_result4;
+ 
+ select * from rangejoin_result3 except select * from rangejoin_result4;
+ 
+ select * from rangejoin_result4 except select * from rangejoin_result3;
+ 
+ drop table rangejoin_result3;
+ drop table rangejoin_result4;
+ 
+ drop table bigrangejoin_left;
+ drop table bigrangejoin_right;
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