jian he <jian.universal...@gmail.com> writes:
> [ v5-0001-Simplify-containment-in-range-constants-with-supp.patch ]

I spent some time reviewing and cleaning up this code.  The major
problem I noted was that it doesn't spend any effort thinking about
cases where it'd be unsafe or undesirable to apply the transformation.
In particular, it's entirely uncool to produce a double-sided
comparison if the elemExpr is volatile.  These two expressions
do not have the same result:

select random() <@ float8range(0.1, 0.2);
select random() >= 0.1 and random() < 0.2;

(Yes, I'm aware that BETWEEN is broken in this respect.  All the
more reason why we mustn't break <@.)

Another problem is that even if the elemExpr isn't volatile,
it might be expensive enough that evaluating it twice is bad.
I am not sure where we ought to put the cutoff.  There are some
existing places where we set a 10X cpu_operator_cost limit on
comparable transformations, so I stole that logic in the attached.
But perhaps someone has an argument for a different rule?

Anyway, pending discussion of that point, I think the code is good
to go.  I don't like the test cases much though: they expend many more
cycles than necessary.  You could prove the same points just by
looking at the expansion of expressions, eg.

regression=# explain (verbose, costs off) select current_date <@ 
daterange(null,null);
   QUERY PLAN   
----------------
 Result
   Output: true
(2 rows)

regression=# explain (verbose, costs off) select current_date <@ 
daterange('-Infinity', '1997-04-10'::date, '[)');
                                       QUERY PLAN                               
         
-----------------------------------------------------------------------------------------
 Result
   Output: ((CURRENT_DATE >= '-infinity'::date) AND (CURRENT_DATE < 
'1997-04-10'::date))
(2 rows)

I'd suggest losing the temp table and just coding tests like these.

                        regards, tom lane

diff --git a/src/backend/utils/adt/rangetypes.c b/src/backend/utils/adt/rangetypes.c
index d99b00b590..2d94a6b877 100644
--- a/src/backend/utils/adt/rangetypes.c
+++ b/src/backend/utils/adt/rangetypes.c
@@ -30,19 +30,20 @@
  */
 #include "postgres.h"
 
-#include "access/tupmacs.h"
 #include "common/hashfn.h"
-#include "lib/stringinfo.h"
 #include "libpq/pqformat.h"
 #include "miscadmin.h"
+#include "nodes/makefuncs.h"
 #include "nodes/miscnodes.h"
-#include "port/pg_bitutils.h"
+#include "nodes/supportnodes.h"
+#include "optimizer/clauses.h"
+#include "optimizer/cost.h"
+#include "optimizer/optimizer.h"
 #include "utils/builtins.h"
 #include "utils/date.h"
 #include "utils/lsyscache.h"
 #include "utils/rangetypes.h"
 #include "utils/timestamp.h"
-#include "varatt.h"
 
 
 /* fn_extra cache entry for one of the range I/O functions */
@@ -69,6 +70,12 @@ static Size datum_compute_size(Size data_length, Datum val, bool typbyval,
 							   char typalign, int16 typlen, char typstorage);
 static Pointer datum_write(Pointer ptr, Datum datum, bool typbyval,
 						   char typalign, int16 typlen, char typstorage);
+static Node *find_simplified_clause(PlannerInfo *root,
+									Expr *rangeExpr, Expr *elemExpr);
+static Expr *build_bound_expr(Expr *elemExpr, Datum val,
+							  bool isLowerBound, bool isInclusive,
+							  TypeCacheEntry *typeCache,
+							  Oid opfamily, Oid rng_collation);
 
 
 /*
@@ -2173,6 +2180,58 @@ make_empty_range(TypeCacheEntry *typcache)
 	return make_range(typcache, &lower, &upper, true, NULL);
 }
 
+/*
+ * Planner support function for elem_contained_by_range (<@ operator).
+ */
+Datum
+elem_contained_by_range_support(PG_FUNCTION_ARGS)
+{
+	Node	   *rawreq = (Node *) PG_GETARG_POINTER(0);
+	Node	   *ret = NULL;
+
+	if (IsA(rawreq, SupportRequestSimplify))
+	{
+		SupportRequestSimplify *req = (SupportRequestSimplify *) rawreq;
+		FuncExpr   *fexpr = req->fcall;
+		Expr	   *leftop,
+				   *rightop;
+
+		Assert(list_length(fexpr->args) == 2);
+		leftop = linitial(fexpr->args);
+		rightop = lsecond(fexpr->args);
+
+		ret = find_simplified_clause(req->root, rightop, leftop);
+	}
+
+	PG_RETURN_POINTER(ret);
+}
+
+/*
+ * Planner support function for range_contains_elem (@> operator).
+ */
+Datum
+range_contains_elem_support(PG_FUNCTION_ARGS)
+{
+	Node	   *rawreq = (Node *) PG_GETARG_POINTER(0);
+	Node	   *ret = NULL;
+
+	if (IsA(rawreq, SupportRequestSimplify))
+	{
+		SupportRequestSimplify *req = (SupportRequestSimplify *) rawreq;
+		FuncExpr   *fexpr = req->fcall;
+		Expr	   *leftop,
+				   *rightop;
+
+		Assert(list_length(fexpr->args) == 2);
+		leftop = linitial(fexpr->args);
+		rightop = lsecond(fexpr->args);
+
+		ret = find_simplified_clause(req->root, leftop, rightop);
+	}
+
+	PG_RETURN_POINTER(ret);
+}
+
 
 /*
  *----------------------------------------------------------
@@ -2715,3 +2774,180 @@ datum_write(Pointer ptr, Datum datum, bool typbyval, char typalign,
 
 	return ptr;
 }
+
+/*
+ * Common code for the elem_contained_by_range and range_contains_elem
+ * support functions.  The caller has extracted the function argument
+ * expressions, and swapped them if necessary to pass the range first.
+ *
+ * Returns a simplified replacement expression, or NULL if we can't simplify.
+ */
+static Node *
+find_simplified_clause(PlannerInfo *root, Expr *rangeExpr, Expr *elemExpr)
+{
+	RangeType  *range;
+	TypeCacheEntry *rangetypcache;
+	RangeBound	lower;
+	RangeBound	upper;
+	bool		empty;
+
+	/* can't do anything unless the range is a non-null constant */
+	if (!IsA(rangeExpr, Const) || ((Const *) rangeExpr)->constisnull)
+		return NULL;
+	range = DatumGetRangeTypeP(((Const *) rangeExpr)->constvalue);
+
+	rangetypcache = lookup_type_cache(RangeTypeGetOid(range),
+									  TYPECACHE_RANGE_INFO);
+	if (rangetypcache->rngelemtype == NULL)
+		elog(ERROR, "type %u is not a range type", RangeTypeGetOid(range));
+
+	range_deserialize(rangetypcache, range, &lower, &upper, &empty);
+
+	if (empty)
+	{
+		/* if the range is empty, then there can be no matches */
+		return makeBoolConst(false, false);
+	}
+	else if (lower.infinite && upper.infinite)
+	{
+		/* the range has infinite bounds, so it matches everything */
+		return makeBoolConst(true, false);
+	}
+	else
+	{
+		/* at least one bound is available, we have something to work with */
+		TypeCacheEntry *elemTypcache = rangetypcache->rngelemtype;
+		Oid			opfamily = rangetypcache->rng_opfamily;
+		Oid			rng_collation = rangetypcache->rng_collation;
+		Expr	   *lowerExpr = NULL;
+		Expr	   *upperExpr = NULL;
+
+		if (!lower.infinite && !upper.infinite)
+		{
+			/*
+			 * When both bounds are present, we have a problem: the
+			 * "simplified" clause would need to evaluate the elemExpr twice.
+			 * That's definitely not okay if the elemExpr is volatile, and
+			 * it's also unattractive if the elemExpr is expensive.
+			 */
+			QualCost	eval_cost;
+
+			if (contain_volatile_functions((Node *) elemExpr))
+				return NULL;
+
+			/*
+			 * We define "expensive" as "contains any subplan or more than 10
+			 * operators".  Note that the subplan search has to be done
+			 * explicitly, since cost_qual_eval() will barf on unplanned
+			 * subselects.
+			 */
+			if (contain_subplans((Node *) elemExpr))
+				return NULL;
+			cost_qual_eval_node(&eval_cost, (Node *) elemExpr, root);
+			if (eval_cost.startup + eval_cost.per_tuple >
+				10 * cpu_operator_cost)
+				return NULL;
+		}
+
+		/* Okay, try to build boundary comparison expressions */
+		if (!lower.infinite)
+		{
+			lowerExpr = build_bound_expr(elemExpr,
+										 lower.val,
+										 true,
+										 lower.inclusive,
+										 elemTypcache,
+										 opfamily,
+										 rng_collation);
+			if (lowerExpr == NULL)
+				return NULL;
+		}
+
+		if (!upper.infinite)
+		{
+			/* Copy the elemExpr if we need two copies */
+			if (!lower.infinite)
+				elemExpr = copyObject(elemExpr);
+			upperExpr = build_bound_expr(elemExpr,
+										 upper.val,
+										 false,
+										 upper.inclusive,
+										 elemTypcache,
+										 opfamily,
+										 rng_collation);
+			if (upperExpr == NULL)
+				return NULL;
+		}
+
+		if (lowerExpr != NULL && upperExpr != NULL)
+			return (Node *) make_andclause(list_make2(lowerExpr, upperExpr));
+		else if (lowerExpr != NULL)
+			return (Node *) lowerExpr;
+		else if (upperExpr != NULL)
+			return (Node *) upperExpr;
+		else
+		{
+			Assert(false);
+			return NULL;
+		}
+	}
+}
+
+/*
+ * Helper function for find_simplified_clause().
+ *
+ * Build the expression (elemExpr Operator val), where the operator is
+ * the appropriate member of the given opfamily depending on
+ * isLowerBound and isInclusive.  typeCache is the typcache entry for
+ * the "val" value (presently, this will be the same type as elemExpr).
+ * rng_collation is the collation to use in the comparison.
+ *
+ * Return NULL on failure (if, for some reason, we can't find the operator).
+ */
+static Expr *
+build_bound_expr(Expr *elemExpr, Datum val,
+				 bool isLowerBound, bool isInclusive,
+				 TypeCacheEntry *typeCache,
+				 Oid opfamily, Oid rng_collation)
+{
+	Oid			elemType = typeCache->type_id;
+	int16		elemTypeLen = typeCache->typlen;
+	bool		elemByValue = typeCache->typbyval;
+	Oid			elemCollation = typeCache->typcollation;
+	int16		strategy;
+	Oid			oproid;
+	Expr	   *constExpr;
+
+	/* Identify the comparison operator to use */
+	if (isLowerBound)
+		strategy = isInclusive ? BTGreaterEqualStrategyNumber : BTGreaterStrategyNumber;
+	else
+		strategy = isInclusive ? BTLessEqualStrategyNumber : BTLessStrategyNumber;
+
+	/*
+	 * We could use exprType(elemExpr) here, if it ever becomes possible that
+	 * elemExpr is not the exact same type as the range elements.
+	 */
+	oproid = get_opfamily_member(opfamily, elemType, elemType, strategy);
+
+	/* We don't really expect failure here, but just in case ... */
+	if (!OidIsValid(oproid))
+		return NULL;
+
+	/* OK, convert "val" to a full-fledged Const node, and make the OpExpr */
+	constExpr = (Expr *) makeConst(elemType,
+								   -1,
+								   elemCollation,
+								   elemTypeLen,
+								   val,
+								   false,
+								   elemByValue);
+
+	return make_opclause(oproid,
+						 BOOLOID,
+						 false,
+						 elemExpr,
+						 constExpr,
+						 InvalidOid,
+						 rng_collation);
+}
diff --git a/src/backend/utils/adt/rangetypes_selfuncs.c b/src/backend/utils/adt/rangetypes_selfuncs.c
index c260012bd0..3431c3cd98 100644
--- a/src/backend/utils/adt/rangetypes_selfuncs.c
+++ b/src/backend/utils/adt/rangetypes_selfuncs.c
@@ -196,9 +196,10 @@ rangesel(PG_FUNCTION_ARGS)
 	else if (operator == OID_RANGE_ELEM_CONTAINED_OP)
 	{
 		/*
-		 * Here, the Var is the elem, not the range.  For now we just punt and
-		 * return the default estimate.  In future we could disassemble the
-		 * range constant and apply scalarineqsel ...
+		 * Here, the Var is the elem, not the range.  In typical cases
+		 * elem_contained_by_range_support will have simplified this case, so
+		 * that we won't get here.  If we do get here we'll fall back on a
+		 * default estimate.
 		 */
 	}
 	else if (((Const *) other)->consttype == vardata.vartype)
diff --git a/src/backend/utils/cache/typcache.c b/src/backend/utils/cache/typcache.c
index 4625be4d5c..84fc83cb11 100644
--- a/src/backend/utils/cache/typcache.c
+++ b/src/backend/utils/cache/typcache.c
@@ -940,6 +940,7 @@ load_rangetype_info(TypeCacheEntry *typentry)
 	/* get opclass properties and look up the comparison function */
 	opfamilyOid = get_opclass_family(opclassOid);
 	opcintype = get_opclass_input_type(opclassOid);
+	typentry->rng_opfamily = opfamilyOid;
 
 	cmpFnOid = get_opfamily_proc(opfamilyOid, opcintype, opcintype,
 								 BTORDER_PROC);
diff --git a/src/include/catalog/pg_proc.dat b/src/include/catalog/pg_proc.dat
index 58811a6530..5eddeb0840 100644
--- a/src/include/catalog/pg_proc.dat
+++ b/src/include/catalog/pg_proc.dat
@@ -10503,13 +10503,15 @@
   proname => 'range_overlaps', prorettype => 'bool',
   proargtypes => 'anyrange anyrange', prosrc => 'range_overlaps' },
 { oid => '3858',
-  proname => 'range_contains_elem', prorettype => 'bool',
-  proargtypes => 'anyrange anyelement', prosrc => 'range_contains_elem' },
+  proname => 'range_contains_elem', prosupport => 'range_contains_elem_support',
+  prorettype => 'bool', proargtypes => 'anyrange anyelement',
+  prosrc => 'range_contains_elem' },
 { oid => '3859',
   proname => 'range_contains', prorettype => 'bool',
   proargtypes => 'anyrange anyrange', prosrc => 'range_contains' },
 { oid => '3860',
-  proname => 'elem_contained_by_range', prorettype => 'bool',
+  proname => 'elem_contained_by_range',
+  prosupport => 'elem_contained_by_range_support', prorettype => 'bool',
   proargtypes => 'anyelement anyrange', prosrc => 'elem_contained_by_range' },
 { oid => '3861',
   proname => 'range_contained_by', prorettype => 'bool',
@@ -10532,6 +10534,12 @@
 { oid => '3867',
   proname => 'range_union', prorettype => 'anyrange',
   proargtypes => 'anyrange anyrange', prosrc => 'range_union' },
+{ oid => '9998', descr => 'planner support for range_contains_elem',
+  proname => 'range_contains_elem_support', prorettype => 'internal',
+  proargtypes => 'internal', prosrc => 'range_contains_elem_support' },
+{ oid => '9999', descr => 'planner support for elem_contained_by_range',
+  proname => 'elem_contained_by_range_support', prorettype => 'internal',
+  proargtypes => 'internal', prosrc => 'elem_contained_by_range_support' },
 { oid => '4057',
   descr => 'the smallest range which includes both of the given ranges',
   proname => 'range_merge', prorettype => 'anyrange',
diff --git a/src/include/utils/typcache.h b/src/include/utils/typcache.h
index b72daa7fb4..f506cc4aa3 100644
--- a/src/include/utils/typcache.h
+++ b/src/include/utils/typcache.h
@@ -96,6 +96,7 @@ typedef struct TypeCacheEntry
 	 * btree comparison function.
 	 */
 	struct TypeCacheEntry *rngelemtype; /* range's element type */
+	Oid			rng_opfamily;	/* opfamily to use for range comparisons */
 	Oid			rng_collation;	/* collation for comparisons, if any */
 	FmgrInfo	rng_cmp_proc_finfo; /* comparison function */
 	FmgrInfo	rng_canonical_finfo;	/* canonicalization function, if any */
diff --git a/src/test/regress/expected/rangetypes.out b/src/test/regress/expected/rangetypes.out
index 07d5621ef8..4bd23eb582 100644
--- a/src/test/regress/expected/rangetypes.out
+++ b/src/test/regress/expected/rangetypes.out
@@ -1834,3 +1834,196 @@ create function table_fail(i anyelement) returns table(i anyelement, r anyrange)
   as $$ select $1, '[1,10]' $$ language sql;
 ERROR:  cannot determine result data type
 DETAIL:  A result of type anyrange requires at least one input of type anyrange or anymultirange.
+--
+-- Test support functions
+--
+CREATE TEMP TABLE date_support_test AS
+   SELECT '2000-01-01'::DATE + g AS some_date
+   FROM generate_series(-1000, 1000) sub(g);
+CREATE UNIQUE INDEX date_support_test_idx ON date_support_test (some_date);
+INSERT INTO date_support_test values ('-infinity'), ('infinity');
+ANALYZE date_support_test;
+-- empty ranges
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange 'empty';
+        QUERY PLAN        
+--------------------------
+ Result
+   One-Time Filter: false
+(2 rows)
+
+-- only lower bound present
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2000-01-01', NULL, '[)');
+                 QUERY PLAN                  
+---------------------------------------------
+ Seq Scan on date_support_test
+   Filter: (some_date >= '01-01-2000'::date)
+(2 rows)
+
+-- only upper bound present
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange(NULL, '2000-01-01', '(]');
+                 QUERY PLAN                 
+--------------------------------------------
+ Seq Scan on date_support_test
+   Filter: (some_date < '01-02-2000'::date)
+(2 rows)
+
+-- unbounded range
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange(NULL, NULL);
+          QUERY PLAN           
+-------------------------------
+ Seq Scan on date_support_test
+(1 row)
+
+-- lower range "-Infinity" excluded
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '()');
+                                      QUERY PLAN                                      
+--------------------------------------------------------------------------------------
+ Index Only Scan using date_support_test_idx on date_support_test
+   Index Cond: ((some_date > '-infinity'::date) AND (some_date < '04-10-1997'::date))
+(2 rows)
+
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '()');
+ some_date  
+------------
+ 04-06-1997
+ 04-07-1997
+ 04-08-1997
+ 04-09-1997
+(4 rows)
+
+-- lower range "-Infinity" included
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '[)');
+                                      QUERY PLAN                                       
+---------------------------------------------------------------------------------------
+ Index Only Scan using date_support_test_idx on date_support_test
+   Index Cond: ((some_date >= '-infinity'::date) AND (some_date < '04-10-1997'::date))
+(2 rows)
+
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '[)');
+ some_date  
+------------
+ -infinity
+ 04-06-1997
+ 04-07-1997
+ 04-08-1997
+ 04-09-1997
+(5 rows)
+
+-- upper range "Infinity" excluded
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[)');
+                                      QUERY PLAN                                      
+--------------------------------------------------------------------------------------
+ Index Only Scan using date_support_test_idx on date_support_test
+   Index Cond: ((some_date >= '09-25-2002'::date) AND (some_date < 'infinity'::date))
+(2 rows)
+
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[)');
+ some_date  
+------------
+ 09-25-2002
+ 09-26-2002
+ 09-27-2002
+(3 rows)
+
+-- upper range "Infinity" included
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[]');
+                                      QUERY PLAN                                       
+---------------------------------------------------------------------------------------
+ Index Only Scan using date_support_test_idx on date_support_test
+   Index Cond: ((some_date >= '09-25-2002'::date) AND (some_date <= 'infinity'::date))
+(2 rows)
+
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[]');
+ some_date  
+------------
+ 09-25-2002
+ 09-26-2002
+ 09-27-2002
+ infinity
+(4 rows)
+
+-- should also work if we use "@>"
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE daterange('-Infinity', '1997-04-10'::DATE, '()') @> some_date;
+                                      QUERY PLAN                                      
+--------------------------------------------------------------------------------------
+ Index Only Scan using date_support_test_idx on date_support_test
+   Index Cond: ((some_date > '-infinity'::date) AND (some_date < '04-10-1997'::date))
+(2 rows)
+
+SELECT some_date FROM date_support_test
+WHERE daterange('-Infinity', '1997-04-10'::DATE, '()') @> some_date;
+ some_date  
+------------
+ 04-06-1997
+ 04-07-1997
+ 04-08-1997
+ 04-09-1997
+(4 rows)
+
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE daterange('2002-09-25'::DATE, 'Infinity', '[]') @> some_date;
+                                      QUERY PLAN                                       
+---------------------------------------------------------------------------------------
+ Index Only Scan using date_support_test_idx on date_support_test
+   Index Cond: ((some_date >= '09-25-2002'::date) AND (some_date <= 'infinity'::date))
+(2 rows)
+
+SELECT some_date FROM date_support_test
+WHERE daterange('2002-09-25'::DATE, 'Infinity', '[]') @> some_date;
+ some_date  
+------------
+ 09-25-2002
+ 09-26-2002
+ 09-27-2002
+ infinity
+(4 rows)
+
+DROP TABLE date_support_test;
+-- test a custom range type with a non-default operator class
+CREATE TYPE textrange_supp AS RANGE (
+   SUBTYPE = text,
+   SUBTYPE_OPCLASS = text_pattern_ops
+);
+CREATE TEMP TABLE text_support_test (t text COLLATE "C");
+INSERT INTO text_support_test VALUES ('a'), ('c'), ('d'), ('ch');
+EXPLAIN (COSTS OFF)
+SELECT * FROM text_support_test WHERE t <@ textrange_supp('a', 'd');
+                      QUERY PLAN                      
+------------------------------------------------------
+ Seq Scan on text_support_test
+   Filter: ((t ~>=~ 'a'::text) AND (t ~<~ 'd'::text))
+(2 rows)
+
+SELECT * FROM text_support_test WHERE t <@ textrange_supp('a', 'd');
+ t  
+----
+ a
+ c
+ ch
+(3 rows)
+
+DROP TABLE text_support_test;
+DROP TYPE textrange_supp;
diff --git a/src/test/regress/sql/rangetypes.sql b/src/test/regress/sql/rangetypes.sql
index c5dbe0c04f..399f7cf74b 100644
--- a/src/test/regress/sql/rangetypes.sql
+++ b/src/test/regress/sql/rangetypes.sql
@@ -629,3 +629,95 @@ create function inoutparam_fail(inout i anyelement, out r anyrange)
 --should fail
 create function table_fail(i anyelement) returns table(i anyelement, r anyrange)
   as $$ select $1, '[1,10]' $$ language sql;
+
+--
+-- Test support functions
+--
+
+CREATE TEMP TABLE date_support_test AS
+   SELECT '2000-01-01'::DATE + g AS some_date
+   FROM generate_series(-1000, 1000) sub(g);
+CREATE UNIQUE INDEX date_support_test_idx ON date_support_test (some_date);
+INSERT INTO date_support_test values ('-infinity'), ('infinity');
+ANALYZE date_support_test;
+
+-- empty ranges
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange 'empty';
+
+-- only lower bound present
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2000-01-01', NULL, '[)');
+
+-- only upper bound present
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange(NULL, '2000-01-01', '(]');
+
+-- unbounded range
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange(NULL, NULL);
+
+-- lower range "-Infinity" excluded
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '()');
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '()');
+
+-- lower range "-Infinity" included
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '[)');
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('-Infinity', '1997-04-10'::DATE, '[)');
+
+-- upper range "Infinity" excluded
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[)');
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[)');
+
+-- upper range "Infinity" included
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[]');
+SELECT some_date FROM date_support_test
+WHERE some_date <@ daterange('2002-09-25'::DATE, 'Infinity', '[]');
+
+-- should also work if we use "@>"
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE daterange('-Infinity', '1997-04-10'::DATE, '()') @> some_date;
+SELECT some_date FROM date_support_test
+WHERE daterange('-Infinity', '1997-04-10'::DATE, '()') @> some_date;
+
+EXPLAIN (COSTS OFF)
+SELECT some_date FROM date_support_test
+WHERE daterange('2002-09-25'::DATE, 'Infinity', '[]') @> some_date;
+SELECT some_date FROM date_support_test
+WHERE daterange('2002-09-25'::DATE, 'Infinity', '[]') @> some_date;
+
+DROP TABLE date_support_test;
+
+-- test a custom range type with a non-default operator class
+CREATE TYPE textrange_supp AS RANGE (
+   SUBTYPE = text,
+   SUBTYPE_OPCLASS = text_pattern_ops
+);
+
+CREATE TEMP TABLE text_support_test (t text COLLATE "C");
+
+INSERT INTO text_support_test VALUES ('a'), ('c'), ('d'), ('ch');
+
+EXPLAIN (COSTS OFF)
+SELECT * FROM text_support_test WHERE t <@ textrange_supp('a', 'd');
+SELECT * FROM text_support_test WHERE t <@ textrange_supp('a', 'd');
+
+DROP TABLE text_support_test;
+
+DROP TYPE textrange_supp;

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