Implement operators for checking if the range contains a multirange

We have operators for checking if the multirange contains a range but don't
have the opposite.  This commit improves completeness of the operator set by
adding two new operators: @> (anyrange,anymultirange) and
<@(anymultirange,anyrange).

Catversion is bumped.

doc/src/sgml/func.sgml

@@ -18182,6 +18182,20 @@ SELECT NULLIF(value, '(none)') ...
        </para></entry>
       </row>
 
+      <row>
+       <entry role="func_table_entry"><para role="func_signature">
+        <type>anyrange</type> <literal>@&gt;</literal> <type>anymultirange</type>
+        <returnvalue>boolean</returnvalue>
+       </para>
+       <para>
+        Does the range contain the multirange?
+       </para>
+       <para>
+        <literal>'[2,4)'::int4range @&gt; '{[2,3)}'::int4multirange</literal>
+        <returnvalue>t</returnvalue>
+       </para></entry>
+      </row>
+
       <row>
        <entry role="func_table_entry"><para role="func_signature">
         <type>anymultirange</type> <literal>&lt;@</literal> <type>anymultirange</type>

src/backend/utils/adt/multirangetypes.c

@@ -1631,6 +1631,18 @@ multirange_contains_range(PG_FUNCTION_ARGS)
 	PG_RETURN_BOOL(multirange_contains_range_internal(typcache, mr, r));
 }
 
+Datum
+range_contains_multirange(PG_FUNCTION_ARGS)
+{
+	RangeType  *r = PG_GETARG_RANGE_P(0);
+	MultirangeType *mr = PG_GETARG_MULTIRANGE_P(1);
+	TypeCacheEntry *typcache;
+
+	typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
+
+	PG_RETURN_BOOL(range_contains_multirange_internal(typcache, r, mr));
+}
+
 /* contained by? */
 Datum
 range_contained_by_multirange(PG_FUNCTION_ARGS)
@@ -1644,6 +1656,18 @@ range_contained_by_multirange(PG_FUNCTION_ARGS)
 	PG_RETURN_BOOL(multirange_contains_range_internal(typcache, mr, r));
 }
 
+Datum
+multirange_contained_by_range(PG_FUNCTION_ARGS)
+{
+	MultirangeType *mr = PG_GETARG_MULTIRANGE_P(0);
+	RangeType  *r = PG_GETARG_RANGE_P(1);
+	TypeCacheEntry *typcache;
+
+	typcache = multirange_get_typcache(fcinfo, MultirangeTypeGetOid(mr));
+
+	PG_RETURN_BOOL(range_contains_multirange_internal(typcache, r, mr));
+}
+
 /*
  * Comparison function for checking if any range of multirange contains given
  * key range using binary search.
@@ -1701,6 +1725,42 @@ multirange_contains_range_internal(TypeCacheEntry *typcache, MultirangeType *mr,
 									multirange_range_contains_bsearch_comparison);
 }
 
+/*
+ * Test whether range r contains a multirange mr.
+ */
+bool
+range_contains_multirange_internal(TypeCacheEntry *typcache, RangeType *r,
+								   MultirangeType *mr)
+{
+	TypeCacheEntry *rangetyp;
+	RangeBound	lower1,
+				upper1,
+				lower2,
+				upper2,
+				tmp;
+	bool		empty;
+
+	rangetyp = typcache->rngtype;
+
+	/*
+	 * Every range contains an infinite number of empty multiranges, even an
+	 * empty one.
+	 */
+	if (MultirangeIsEmpty(mr))
+		return true;
+
+	if (RangeIsEmpty(r))
+		return false;
+
+	/* Range contains multirange iff it contains its union range. */
+	range_deserialize(rangetyp, r, &lower1, &upper1, &empty);
+	Assert(!empty);
+	multirange_get_bounds(rangetyp, mr, 0, &lower2, &tmp);
+	multirange_get_bounds(rangetyp, mr, mr->rangeCount - 1, &tmp, &upper2);
+
+	return range_bounds_contains(rangetyp, &lower1, &upper1, &lower2, &upper2);
+}
+
 
 /* multirange, multirange -> bool functions */
 

src/backend/utils/adt/multirangetypes_selfuncs.c

@@ -86,6 +86,8 @@ default_multirange_selectivity(Oid operator)
 		case OID_RANGE_OVERLAPS_MULTIRANGE_OP:
 			return 0.01;
 
+		case OID_RANGE_CONTAINS_MULTIRANGE_OP:
+		case OID_RANGE_MULTIRANGE_CONTAINED_OP:
 		case OID_MULTIRANGE_CONTAINS_RANGE_OP:
 		case OID_MULTIRANGE_CONTAINS_MULTIRANGE_OP:
 		case OID_MULTIRANGE_RANGE_CONTAINED_OP:
@@ -224,7 +226,8 @@ multirangesel(PG_FUNCTION_ARGS)
 											  1, &constrange);
 		}
 	}
-	else if (operator == OID_MULTIRANGE_CONTAINS_RANGE_OP ||
+	else if (operator == OID_RANGE_MULTIRANGE_CONTAINED_OP ||
+			 operator == OID_MULTIRANGE_CONTAINS_RANGE_OP ||
 			 operator == OID_MULTIRANGE_OVERLAPS_RANGE_OP ||
 			 operator == OID_MULTIRANGE_OVERLAPS_LEFT_RANGE_OP ||
 			 operator == OID_MULTIRANGE_OVERLAPS_RIGHT_RANGE_OP ||
@@ -248,6 +251,7 @@ multirangesel(PG_FUNCTION_ARGS)
 			 operator == OID_RANGE_OVERLAPS_RIGHT_MULTIRANGE_OP ||
 			 operator == OID_RANGE_LEFT_MULTIRANGE_OP ||
 			 operator == OID_RANGE_RIGHT_MULTIRANGE_OP ||
+			 operator == OID_RANGE_CONTAINS_MULTIRANGE_OP ||
 			 operator == OID_MULTIRANGE_ELEM_CONTAINED_OP ||
 			 operator == OID_MULTIRANGE_RANGE_CONTAINED_OP)
 	{

src/include/catalog/catversion.h

@@ -53,6 +53,6 @@
  */
 
 /*							yyyymmddN */
-#define CATALOG_VERSION_NO	202012201
+#define CATALOG_VERSION_NO	202012291
 
 #endif

src/include/catalog/pg_operator.dat

@@ -3360,6 +3360,18 @@
   oprresult => 'bool', oprcom => '@>(anymultirange,anymultirange)',
   oprcode => 'multirange_contained_by_multirange', oprrest => 'multirangesel',
   oprjoin => 'contjoinsel' },
+{ oid => '4539', oid_symbol => 'OID_RANGE_CONTAINS_MULTIRANGE_OP',
+  descr => 'contains',
+  oprname => '@>', oprleft => 'anyrange', oprright => 'anymultirange',
+  oprresult => 'bool', oprcom => '<@(anymultirange,anyrange)',
+  oprcode => 'range_contains_multirange', oprrest => 'multirangesel',
+  oprjoin => 'contjoinsel' },
+{ oid => '4540', oid_symbol => 'OID_RANGE_MULTIRANGE_CONTAINED_OP',
+  descr => 'is contained by',
+  oprname => '<@', oprleft => 'anymultirange', oprright => 'anyrange',
+  oprresult => 'bool', oprcom => '@>(anyrange,anymultirange)',
+  oprcode => 'multirange_contained_by_range', oprrest => 'multirangesel',
+  oprjoin => 'contjoinsel' },
 { oid => '2875', oid_symbol => 'OID_RANGE_OVERLAPS_LEFT_MULTIRANGE_OP',
   descr => 'overlaps or is left of',
   oprname => '&<', oprleft => 'anyrange', oprright => 'anymultirange',

src/include/catalog/pg_proc.dat

@@ -10085,6 +10085,12 @@
 { oid => '4253',
   proname => 'range_contained_by_multirange', prorettype => 'bool',
   proargtypes => 'anyrange anymultirange', prosrc => 'range_contained_by_multirange' },
+{ oid => '4541',
+  proname => 'range_contains_multirange', prorettype => 'bool',
+  proargtypes => 'anyrange anymultirange', prosrc => 'range_contains_multirange' },
+{ oid => '4542',
+  proname => 'multirange_contained_by_range', prorettype => 'bool',
+  proargtypes => 'anymultirange anyrange', prosrc => 'multirange_contained_by_range' },
 { oid => '4254',
   proname => 'multirange_contained_by_multirange', prorettype => 'bool',
   proargtypes => 'anymultirange anymultirange', prosrc => 'multirange_contained_by_multirange' },

src/include/utils/multirangetypes.h

@@ -64,6 +64,8 @@ extern bool multirange_contains_elem_internal(TypeCacheEntry *typcache, Multiran
 											  Datum elem);
 extern bool multirange_contains_range_internal(TypeCacheEntry *typcache, MultirangeType *mr,
 											   RangeType *r);
+extern bool range_contains_multirange_internal(TypeCacheEntry *typcache, RangeType *r,
+											   MultirangeType *mr);
 extern bool multirange_contains_multirange_internal(TypeCacheEntry *typcache,
 													MultirangeType *mr1,
 													MultirangeType *mr2);

src/test/regress/expected/multirangetypes.out

@@ -979,6 +979,126 @@ select '{(10,20),(30,40),(50,60)}'::nummultirange @> '(52,56)'::numrange;
  t
 (1 row)
 
+SELECT numrange(null,null) @> nummultirange(numrange(1,2));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(null,null) @> nummultirange(numrange(null,2));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(null,null) @> nummultirange(numrange(2,null));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(null,5) @> nummultirange(numrange(null,3));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(null,5) @> nummultirange(numrange(null,8));
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT numrange(5,null) @> nummultirange(numrange(8,null));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(5,null) @> nummultirange(numrange(3,null));
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT numrange(1,5) @> nummultirange(numrange(8,9));
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT numrange(1,5) @> nummultirange(numrange(3,9));
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT numrange(1,5) @> nummultirange(numrange(1,4));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(1,5) @> nummultirange(numrange(1,5));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(1,9) @> nummultirange(numrange(-4,-2), numrange(1,5));
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT numrange(1,9) @> nummultirange(numrange(1,5), numrange(8,9));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(1,9) @> nummultirange(numrange(1,5), numrange(6,9));
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT numrange(1,9) @> nummultirange(numrange(1,5), numrange(6,10));
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '{[1,9)}' @> '{[1,5)}'::nummultirange;
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '{[1,9)}' @> '{[-4,-2), [1,5)}'::nummultirange;
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '{[1,9)}' @> '{[1,5), [8,9)}'::nummultirange;
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '{[1,9)}' @> '{[1,5), [6,9)}'::nummultirange;
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '{[1,9)}' @> '{[1,5), [6,10)}'::nummultirange;
+ ?column? 
+----------
+ f
+(1 row)
+
 -- is contained by
 SELECT nummultirange() <@ nummultirange();
  ?column? 
@@ -1112,6 +1232,126 @@ SELECT '{[6,7)}' <@ '{[1,5), [6,9)}'::nummultirange;
  t
 (1 row)
 
+SELECT nummultirange(numrange(1,2)) <@ numrange(null,null);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(null,2)) <@ numrange(null,null);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(2,null)) <@ numrange(null,null);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(null,3)) <@ numrange(null,5);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(null,8)) <@ numrange(null,5);
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT nummultirange(numrange(8,null)) <@ numrange(5,null);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(3,null)) <@ numrange(5,null);
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT nummultirange(numrange(8,9)) <@ numrange(1,5);
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT nummultirange(numrange(3,9)) <@ numrange(1,5);
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT nummultirange(numrange(1,4)) <@ numrange(1,5);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(1,5)) <@ numrange(1,5);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(-4,-2), numrange(1,5)) <@ numrange(1,9);
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT nummultirange(numrange(1,5), numrange(8,9)) <@ numrange(1,9);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(1,5), numrange(6,9)) <@ numrange(1,9);
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT nummultirange(numrange(1,5), numrange(6,10)) <@ numrange(1,9);
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '{[1,5)}'::nummultirange <@ '{[1,9)}';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '{[-4,-2), [1,5)}'::nummultirange <@ '{[1,9)}';
+ ?column? 
+----------
+ f
+(1 row)
+
+SELECT '{[1,5), [8,9)}'::nummultirange <@ '{[1,9)}';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '{[1,5), [6,9)}'::nummultirange <@ '{[1,9)}';
+ ?column? 
+----------
+ t
+(1 row)
+
+SELECT '{[1,5), [6,10)}'::nummultirange <@ '{[1,9)}';
+ ?column? 
+----------
+ f
+(1 row)
+
 -- overleft
 SELECT 'empty'::numrange &< nummultirange();
  ?column? 

src/test/regress/sql/multirangetypes.sql

@@ -188,6 +188,26 @@ SELECT '{[1,5), [8,9)}'::nummultirange @> '{[1,5)}';
 SELECT '{[1,5), [8,9)}'::nummultirange @> '{[6,7)}';
 SELECT '{[1,5), [6,9)}'::nummultirange @> '{[6,7)}';
 select '{(10,20),(30,40),(50,60)}'::nummultirange @> '(52,56)'::numrange;
+SELECT numrange(null,null) @> nummultirange(numrange(1,2));
+SELECT numrange(null,null) @> nummultirange(numrange(null,2));
+SELECT numrange(null,null) @> nummultirange(numrange(2,null));
+SELECT numrange(null,5) @> nummultirange(numrange(null,3));
+SELECT numrange(null,5) @> nummultirange(numrange(null,8));
+SELECT numrange(5,null) @> nummultirange(numrange(8,null));
+SELECT numrange(5,null) @> nummultirange(numrange(3,null));
+SELECT numrange(1,5) @> nummultirange(numrange(8,9));
+SELECT numrange(1,5) @> nummultirange(numrange(3,9));
+SELECT numrange(1,5) @> nummultirange(numrange(1,4));
+SELECT numrange(1,5) @> nummultirange(numrange(1,5));
+SELECT numrange(1,9) @> nummultirange(numrange(-4,-2), numrange(1,5));
+SELECT numrange(1,9) @> nummultirange(numrange(1,5), numrange(8,9));
+SELECT numrange(1,9) @> nummultirange(numrange(1,5), numrange(6,9));
+SELECT numrange(1,9) @> nummultirange(numrange(1,5), numrange(6,10));
+SELECT '{[1,9)}' @> '{[1,5)}'::nummultirange;
+SELECT '{[1,9)}' @> '{[-4,-2), [1,5)}'::nummultirange;
+SELECT '{[1,9)}' @> '{[1,5), [8,9)}'::nummultirange;
+SELECT '{[1,9)}' @> '{[1,5), [6,9)}'::nummultirange;
+SELECT '{[1,9)}' @> '{[1,5), [6,10)}'::nummultirange;
 
 -- is contained by
 SELECT nummultirange() <@ nummultirange();
@@ -212,6 +232,26 @@ SELECT '{[1,5)}' <@ '{[-4,-2), [1,5)}'::nummultirange;
 SELECT '{[1,5)}' <@ '{[1,5), [8,9)}'::nummultirange;
 SELECT '{[6,7)}' <@ '{[1,5), [8,9)}'::nummultirange;
 SELECT '{[6,7)}' <@ '{[1,5), [6,9)}'::nummultirange;
+SELECT nummultirange(numrange(1,2)) <@ numrange(null,null);
+SELECT nummultirange(numrange(null,2)) <@ numrange(null,null);
+SELECT nummultirange(numrange(2,null)) <@ numrange(null,null);
+SELECT nummultirange(numrange(null,3)) <@ numrange(null,5);
+SELECT nummultirange(numrange(null,8)) <@ numrange(null,5);
+SELECT nummultirange(numrange(8,null)) <@ numrange(5,null);
+SELECT nummultirange(numrange(3,null)) <@ numrange(5,null);
+SELECT nummultirange(numrange(8,9)) <@ numrange(1,5);
+SELECT nummultirange(numrange(3,9)) <@ numrange(1,5);
+SELECT nummultirange(numrange(1,4)) <@ numrange(1,5);
+SELECT nummultirange(numrange(1,5)) <@ numrange(1,5);
+SELECT nummultirange(numrange(-4,-2), numrange(1,5)) <@ numrange(1,9);
+SELECT nummultirange(numrange(1,5), numrange(8,9)) <@ numrange(1,9);
+SELECT nummultirange(numrange(1,5), numrange(6,9)) <@ numrange(1,9);
+SELECT nummultirange(numrange(1,5), numrange(6,10)) <@ numrange(1,9);
+SELECT '{[1,5)}'::nummultirange <@ '{[1,9)}';
+SELECT '{[-4,-2), [1,5)}'::nummultirange <@ '{[1,9)}';
+SELECT '{[1,5), [8,9)}'::nummultirange <@ '{[1,9)}';
+SELECT '{[1,5), [6,9)}'::nummultirange <@ '{[1,9)}';
+SELECT '{[1,5), [6,10)}'::nummultirange <@ '{[1,9)}';
 
 -- overleft
 SELECT 'empty'::numrange &< nummultirange();