From 3e5e92eaaaa154c071fb8615d930f1cb7b82f0ed Mon Sep 17 00:00:00 2001
From: Edmund Horner <ejrh00@gmail.com>
Date: Fri, 12 Oct 2018 16:29:44 +1300
Subject: [PATCH 4/4] Tid Scan results are ordered

The planner now knows that the results of a Tid path are ordered by ctid, so
queries that rely on that order no longer need a separate sort.  This improves
cases such as "ORDER BY ctid ASC/DESC", as well as "SELECT MIN(ctid)/MAX(ctid)".
Tid Scans can now be Backward.
---
 src/backend/commands/explain.c          |  36 +++++++---
 src/backend/executor/nodeTidscan.c      |   9 +++
 src/backend/nodes/copyfuncs.c           |   1 +
 src/backend/nodes/outfuncs.c            |   2 +
 src/backend/nodes/readfuncs.c           |   1 +
 src/backend/optimizer/path/pathkeys.c   |  19 +++++
 src/backend/optimizer/path/tidpath.c    |  39 ++++++++--
 src/backend/optimizer/plan/createplan.c |   9 ++-
 src/backend/optimizer/util/pathnode.c   |   4 +-
 src/include/nodes/plannodes.h           |   1 +
 src/include/nodes/relation.h            |   1 +
 src/include/optimizer/pathnode.h        |   3 +-
 src/include/optimizer/paths.h           |   3 +
 src/test/regress/expected/tidscan.out   | 123 +++++++++++++++++++++++++++++++-
 src/test/regress/sql/tidscan.sql        |  39 +++++++++-
 15 files changed, 268 insertions(+), 22 deletions(-)

diff --git a/src/backend/commands/explain.c b/src/backend/commands/explain.c
index 888d994..5a4305d 100644
--- a/src/backend/commands/explain.c
+++ b/src/backend/commands/explain.c
@@ -111,6 +111,7 @@ static void show_foreignscan_info(ForeignScanState *fsstate, ExplainState *es);
 static void show_eval_params(Bitmapset *bms_params, ExplainState *es);
 static const char *explain_get_index_name(Oid indexId);
 static void show_buffer_usage(ExplainState *es, const BufferUsage *usage);
+static void show_scan_direction(ExplainState *es, ScanDirection direction);
 static void ExplainIndexScanDetails(Oid indexid, ScanDirection indexorderdir,
 						ExplainState *es);
 static void ExplainScanTarget(Scan *plan, ExplainState *es);
@@ -1270,7 +1271,6 @@ ExplainNode(PlanState *planstate, List *ancestors,
 		case T_SeqScan:
 		case T_SampleScan:
 		case T_BitmapHeapScan:
-		case T_TidScan:
 		case T_SubqueryScan:
 		case T_FunctionScan:
 		case T_TableFuncScan:
@@ -1279,6 +1279,10 @@ ExplainNode(PlanState *planstate, List *ancestors,
 		case T_WorkTableScan:
 			ExplainScanTarget((Scan *) plan, es);
 			break;
+		case T_TidScan:
+			show_scan_direction(es, ((TidScan *) plan)->direction);
+			ExplainScanTarget((Scan *) plan, es);
+			break;
 		case T_ForeignScan:
 		case T_CustomScan:
 			if (((Scan *) plan)->scanrelid > 0)
@@ -2892,25 +2896,21 @@ show_buffer_usage(ExplainState *es, const BufferUsage *usage)
 }
 
 /*
- * Add some additional details about an IndexScan or IndexOnlyScan
+ * Show the direction of a scan.
  */
 static void
-ExplainIndexScanDetails(Oid indexid, ScanDirection indexorderdir,
-						ExplainState *es)
+show_scan_direction(ExplainState *es, ScanDirection direction)
 {
-	const char *indexname = explain_get_index_name(indexid);
-
 	if (es->format == EXPLAIN_FORMAT_TEXT)
 	{
-		if (ScanDirectionIsBackward(indexorderdir))
+		if (ScanDirectionIsBackward(direction))
 			appendStringInfoString(es->str, " Backward");
-		appendStringInfo(es->str, " using %s", indexname);
 	}
 	else
 	{
 		const char *scandir;
 
-		switch (indexorderdir)
+		switch (direction)
 		{
 			case BackwardScanDirection:
 				scandir = "Backward";
@@ -2926,11 +2926,27 @@ ExplainIndexScanDetails(Oid indexid, ScanDirection indexorderdir,
 				break;
 		}
 		ExplainPropertyText("Scan Direction", scandir, es);
-		ExplainPropertyText("Index Name", indexname, es);
 	}
 }
 
 /*
+ * Add some additional details about an IndexScan or IndexOnlyScan
+ */
+static void
+ExplainIndexScanDetails(Oid indexid, ScanDirection indexorderdir,
+						ExplainState *es)
+{
+	const char *indexname = explain_get_index_name(indexid);
+
+	show_scan_direction(es, indexorderdir);
+
+	if (es->format == EXPLAIN_FORMAT_TEXT)
+		appendStringInfo(es->str, " using %s", indexname);
+	else
+		ExplainPropertyText("Index Name", indexname, es);
+}
+
+/*
  * Show the target of a Scan node
  */
 static void
diff --git a/src/backend/executor/nodeTidscan.c b/src/backend/executor/nodeTidscan.c
index 3897b97..f7e78f0 100644
--- a/src/backend/executor/nodeTidscan.c
+++ b/src/backend/executor/nodeTidscan.c
@@ -738,6 +738,15 @@ TidNext(TidScanState *node)
 
 	numRanges = node->tss_NumTidRanges;
 
+	/* If the plan direction is backward, invert the direction. */
+	if (ScanDirectionIsBackward(((TidScan *) node->ss.ps.plan)->direction))
+	{
+		if (ScanDirectionIsForward(direction))
+			direction = BackwardScanDirection;
+		else if (ScanDirectionIsBackward(direction))
+			direction = ForwardScanDirection;
+	}
+
 	tuple = NULL;
 	for (;;)
 	{
diff --git a/src/backend/nodes/copyfuncs.c b/src/backend/nodes/copyfuncs.c
index cab02a4..2150a7a 100644
--- a/src/backend/nodes/copyfuncs.c
+++ b/src/backend/nodes/copyfuncs.c
@@ -580,6 +580,7 @@ _copyTidScan(const TidScan *from)
 	 * copy remainder of node
 	 */
 	COPY_NODE_FIELD(tidquals);
+	COPY_SCALAR_FIELD(direction);
 
 	return newnode;
 }
diff --git a/src/backend/nodes/outfuncs.c b/src/backend/nodes/outfuncs.c
index 647665a..a22eb6b 100644
--- a/src/backend/nodes/outfuncs.c
+++ b/src/backend/nodes/outfuncs.c
@@ -616,6 +616,7 @@ _outTidScan(StringInfo str, const TidScan *node)
 	_outScanInfo(str, (const Scan *) node);
 
 	WRITE_NODE_FIELD(tidquals);
+	WRITE_ENUM_FIELD(direction, ScanDirection);
 }
 
 static void
@@ -1892,6 +1893,7 @@ _outTidPath(StringInfo str, const TidPath *node)
 	_outPathInfo(str, (const Path *) node);
 
 	WRITE_NODE_FIELD(tidquals);
+	WRITE_ENUM_FIELD(direction, ScanDirection);
 }
 
 static void
diff --git a/src/backend/nodes/readfuncs.c b/src/backend/nodes/readfuncs.c
index e117867..f936ef1 100644
--- a/src/backend/nodes/readfuncs.c
+++ b/src/backend/nodes/readfuncs.c
@@ -1846,6 +1846,7 @@ _readTidScan(void)
 	ReadCommonScan(&local_node->scan);
 
 	READ_NODE_FIELD(tidquals);
+	READ_ENUM_FIELD(direction, ScanDirection);
 
 	READ_DONE();
 }
diff --git a/src/backend/optimizer/path/pathkeys.c b/src/backend/optimizer/path/pathkeys.c
index ec66cb9..b847151 100644
--- a/src/backend/optimizer/path/pathkeys.c
+++ b/src/backend/optimizer/path/pathkeys.c
@@ -18,6 +18,9 @@
 #include "postgres.h"
 
 #include "access/stratnum.h"
+#include "access/sysattr.h"
+#include "catalog/pg_operator.h"
+#include "catalog/pg_type.h"
 #include "nodes/makefuncs.h"
 #include "nodes/nodeFuncs.h"
 #include "nodes/plannodes.h"
@@ -848,6 +851,22 @@ build_join_pathkeys(PlannerInfo *root,
 	return truncate_useless_pathkeys(root, joinrel, outer_pathkeys);
 }
 
+/*
+ * build_tidscan_pathkeys
+ *	  Build the path keys corresponding to ORDER BY ctid ASC|DESC.
+ */
+List *
+build_tidscan_pathkeys(PlannerInfo *root,
+					   RelOptInfo *rel,
+					   ScanDirection direction)
+{
+	int			opno = (direction == ForwardScanDirection) ? TIDLessOperator : TIDGreaterOperator;
+	Var		   *varexpr = makeVar(rel->relid, SelfItemPointerAttributeNumber, TIDOID, -1, InvalidOid, 0);
+	List	   *pathkeys = build_expression_pathkey(root, (Expr *) varexpr, NULL, opno, rel->relids, true);
+
+	return pathkeys;
+}
+
 /****************************************************************************
  *		PATHKEYS AND SORT CLAUSES
  ****************************************************************************/
diff --git a/src/backend/optimizer/path/tidpath.c b/src/backend/optimizer/path/tidpath.c
index 9005249..2362193 100644
--- a/src/backend/optimizer/path/tidpath.c
+++ b/src/backend/optimizer/path/tidpath.c
@@ -329,12 +329,16 @@ TidQualFromBaseRestrictinfo(RelOptInfo *rel)
  * create_tidscan_paths
  *	  Create paths corresponding to direct TID scans of the given rel.
  *
+ *	  Path keys and direction will be set on the scans if it looks useful.
+ *
  *	  Candidate paths are added to the rel's pathlist (using add_path).
  */
 void
 create_tidscan_paths(PlannerInfo *root, RelOptInfo *rel)
 {
 	Relids		required_outer;
+	List	   *pathkeys = NULL;
+	ScanDirection direction = ForwardScanDirection;
 	List	   *tidquals;
 
 	/*
@@ -344,10 +348,37 @@ create_tidscan_paths(PlannerInfo *root, RelOptInfo *rel)
 	 */
 	required_outer = rel->lateral_relids;
 
+	/*
+	 * Try to determine the best scan direction and create some useful
+	 * pathkeys.
+	 */
+	if (has_useful_pathkeys(root, rel))
+	{
+		/*
+		 * Build path keys corresponding to ORDER BY ctid ASC, and check
+		 * whether they will be useful for this scan.  If not, build path keys
+		 * for DESC, and try that; set the direction to BackwardScanDirection
+		 * if so.  If neither of them will be useful, no path keys will be
+		 * set.
+		 */
+		pathkeys = build_tidscan_pathkeys(root, rel, ForwardScanDirection);
+		if (!pathkeys_contained_in(pathkeys, root->query_pathkeys))
+		{
+			pathkeys = build_tidscan_pathkeys(root, rel, BackwardScanDirection);
+			if (pathkeys_contained_in(pathkeys, root->query_pathkeys))
+				direction = BackwardScanDirection;
+			else
+				pathkeys = NULL;
+		}
+	}
+
 	tidquals = TidQualFromBaseRestrictinfo(rel);
 
-	/* If there are tidquals, then it's worth generating a tidscan path. */
-	if (tidquals)
-		add_path(rel, (Path *) create_tidscan_path(root, rel, tidquals,
-												   required_outer));
+	/*
+	 * If there are tidquals or some useful pathkeys were found, then it's
+	 * worth generating a tidscan path.
+	 */
+	if (tidquals || pathkeys)
+		add_path(rel, (Path *) create_tidscan_path(root, rel, tidquals, pathkeys,
+												   direction, required_outer));
 }
diff --git a/src/backend/optimizer/plan/createplan.c b/src/backend/optimizer/plan/createplan.c
index e2c0bce..4fc8aef 100644
--- a/src/backend/optimizer/plan/createplan.c
+++ b/src/backend/optimizer/plan/createplan.c
@@ -184,7 +184,7 @@ static BitmapHeapScan *make_bitmap_heapscan(List *qptlist,
 					 List *bitmapqualorig,
 					 Index scanrelid);
 static TidScan *make_tidscan(List *qptlist, List *qpqual, Index scanrelid,
-			 List *tidquals);
+			 List *tidquals, ScanDirection direction);
 static SubqueryScan *make_subqueryscan(List *qptlist,
 				  List *qpqual,
 				  Index scanrelid,
@@ -3115,7 +3115,8 @@ create_tidscan_plan(PlannerInfo *root, TidPath *best_path,
 	scan_plan = make_tidscan(tlist,
 							 scan_clauses,
 							 scan_relid,
-							 tidquals);
+							 tidquals,
+							 best_path->direction);
 
 	copy_generic_path_info(&scan_plan->scan.plan, &best_path->path);
 
@@ -5176,7 +5177,8 @@ static TidScan *
 make_tidscan(List *qptlist,
 			 List *qpqual,
 			 Index scanrelid,
-			 List *tidquals)
+			 List *tidquals,
+			 ScanDirection direction)
 {
 	TidScan    *node = makeNode(TidScan);
 	Plan	   *plan = &node->scan.plan;
@@ -5187,6 +5189,7 @@ make_tidscan(List *qptlist,
 	plan->righttree = NULL;
 	node->scan.scanrelid = scanrelid;
 	node->tidquals = tidquals;
+	node->direction = direction;
 
 	return node;
 }
diff --git a/src/backend/optimizer/util/pathnode.c b/src/backend/optimizer/util/pathnode.c
index d50d86b..31645c4 100644
--- a/src/backend/optimizer/util/pathnode.c
+++ b/src/backend/optimizer/util/pathnode.c
@@ -1186,6 +1186,7 @@ create_bitmap_or_path(PlannerInfo *root,
  */
 TidPath *
 create_tidscan_path(PlannerInfo *root, RelOptInfo *rel, List *tidquals,
+					List *pathkeys, ScanDirection direction,
 					Relids required_outer)
 {
 	TidPath    *pathnode = makeNode(TidPath);
@@ -1198,9 +1199,10 @@ create_tidscan_path(PlannerInfo *root, RelOptInfo *rel, List *tidquals,
 	pathnode->path.parallel_aware = false;
 	pathnode->path.parallel_safe = rel->consider_parallel;
 	pathnode->path.parallel_workers = 0;
-	pathnode->path.pathkeys = NIL;	/* always unordered */
+	pathnode->path.pathkeys = pathkeys;
 
 	pathnode->tidquals = tidquals;
+	pathnode->direction = direction;
 
 	cost_tidscan(&pathnode->path, root, rel, tidquals,
 				 pathnode->path.param_info);
diff --git a/src/include/nodes/plannodes.h b/src/include/nodes/plannodes.h
index 26e1c40..201d315 100644
--- a/src/include/nodes/plannodes.h
+++ b/src/include/nodes/plannodes.h
@@ -485,6 +485,7 @@ typedef struct TidScan
 {
 	Scan		scan;
 	List	   *tidquals;		/* qual(s) involving CTID = something */
+	ScanDirection direction;
 } TidScan;
 
 /* ----------------
diff --git a/src/include/nodes/relation.h b/src/include/nodes/relation.h
index 895849f..02210d3 100644
--- a/src/include/nodes/relation.h
+++ b/src/include/nodes/relation.h
@@ -1243,6 +1243,7 @@ typedef struct TidPath
 {
 	Path		path;
 	List	   *tidquals;
+	ScanDirection direction;
 } TidPath;
 
 /*
diff --git a/src/include/optimizer/pathnode.h b/src/include/optimizer/pathnode.h
index 81abcf5..d6dda47 100644
--- a/src/include/optimizer/pathnode.h
+++ b/src/include/optimizer/pathnode.h
@@ -63,7 +63,8 @@ extern BitmapOrPath *create_bitmap_or_path(PlannerInfo *root,
 					  RelOptInfo *rel,
 					  List *bitmapquals);
 extern TidPath *create_tidscan_path(PlannerInfo *root, RelOptInfo *rel,
-					List *tidquals, Relids required_outer);
+					List *tidquals, List *pathkeys, ScanDirection direction,
+					Relids required_outer);
 extern AppendPath *create_append_path(PlannerInfo *root, RelOptInfo *rel,
 				   List *subpaths, List *partial_subpaths,
 				   Relids required_outer,
diff --git a/src/include/optimizer/paths.h b/src/include/optimizer/paths.h
index cafde30..9d0699e 100644
--- a/src/include/optimizer/paths.h
+++ b/src/include/optimizer/paths.h
@@ -211,6 +211,9 @@ extern List *build_join_pathkeys(PlannerInfo *root,
 					RelOptInfo *joinrel,
 					JoinType jointype,
 					List *outer_pathkeys);
+extern List *build_tidscan_pathkeys(PlannerInfo *root,
+					   RelOptInfo *rel,
+					   ScanDirection direction);
 extern List *make_pathkeys_for_sortclauses(PlannerInfo *root,
 							  List *sortclauses,
 							  List *tlist);
diff --git a/src/test/regress/expected/tidscan.out b/src/test/regress/expected/tidscan.out
index 8083909..8dcbf99 100644
--- a/src/test/regress/expected/tidscan.out
+++ b/src/test/regress/expected/tidscan.out
@@ -176,7 +176,6 @@ EXPLAIN (ANALYZE, COSTS OFF, SUMMARY OFF, TIMING OFF)
 UPDATE tidscan SET id = -id WHERE CURRENT OF c RETURNING *;
 ERROR:  cursor "c" is not positioned on a row
 ROLLBACK;
-DROP TABLE tidscan;
 -- tests for tidrangescans
 CREATE TABLE tidrangescan(id integer, data text);
 INSERT INTO tidrangescan SELECT i,repeat('x', 100) FROM generate_series(1,1000) AS s(i);
@@ -427,3 +426,125 @@ SELECT ctid FROM tidrangescan_empty WHERE ctid > '(9, 0)';
 ------
 (0 rows)
 
+-- check that ordering on a tidscan doesn't require a sort
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid;
+                          QUERY PLAN                           
+---------------------------------------------------------------
+ Tid Scan on tidscan
+   TID Cond: (ctid = ANY ('{"(0,2)","(0,1)","(0,3)"}'::tid[]))
+(2 rows)
+
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid;
+ ctid  
+-------
+ (0,1)
+ (0,2)
+ (0,3)
+(3 rows)
+
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid DESC;
+                          QUERY PLAN                           
+---------------------------------------------------------------
+ Tid Scan Backward on tidscan
+   TID Cond: (ctid = ANY ('{"(0,2)","(0,1)","(0,3)"}'::tid[]))
+(2 rows)
+
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid DESC;
+ ctid  
+-------
+ (0,3)
+ (0,2)
+ (0,1)
+(3 rows)
+
+-- ordering with no quals should use tid range scan
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidrangescan ORDER BY ctid ASC;
+        QUERY PLAN        
+--------------------------
+ Tid Scan on tidrangescan
+(1 row)
+
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidrangescan ORDER BY ctid DESC;
+            QUERY PLAN             
+-----------------------------------
+ Tid Scan Backward on tidrangescan
+(1 row)
+
+-- min/max
+EXPLAIN (COSTS OFF)
+SELECT MIN(ctid) FROM tidrangescan;
+                 QUERY PLAN                 
+--------------------------------------------
+ Result
+   InitPlan 1 (returns $0)
+     ->  Limit
+           ->  Tid Scan on tidrangescan
+                 Filter: (ctid IS NOT NULL)
+(5 rows)
+
+SELECT MIN(ctid) FROM tidrangescan;
+  min  
+-------
+ (0,1)
+(1 row)
+
+EXPLAIN (COSTS OFF)
+SELECT MAX(ctid) FROM tidrangescan;
+                   QUERY PLAN                    
+-------------------------------------------------
+ Result
+   InitPlan 1 (returns $0)
+     ->  Limit
+           ->  Tid Scan Backward on tidrangescan
+                 Filter: (ctid IS NOT NULL)
+(5 rows)
+
+SELECT MAX(ctid) FROM tidrangescan;
+  max   
+--------
+ (9,10)
+(1 row)
+
+EXPLAIN (COSTS OFF)
+SELECT MIN(ctid) FROM tidrangescan WHERE ctid > '(5,0)';
+                   QUERY PLAN                    
+-------------------------------------------------
+ Result
+   InitPlan 1 (returns $0)
+     ->  Limit
+           ->  Tid Scan on tidrangescan
+                 TID Cond: (ctid > '(5,0)'::tid)
+                 Filter: (ctid IS NOT NULL)
+(6 rows)
+
+SELECT MIN(ctid) FROM tidrangescan WHERE ctid > '(5,0)';
+  min  
+-------
+ (5,1)
+(1 row)
+
+EXPLAIN (COSTS OFF)
+SELECT MAX(ctid) FROM tidrangescan WHERE ctid < '(5,0)';
+                   QUERY PLAN                    
+-------------------------------------------------
+ Result
+   InitPlan 1 (returns $0)
+     ->  Limit
+           ->  Tid Scan Backward on tidrangescan
+                 TID Cond: (ctid < '(5,0)'::tid)
+                 Filter: (ctid IS NOT NULL)
+(6 rows)
+
+SELECT MAX(ctid) FROM tidrangescan WHERE ctid < '(5,0)';
+  max   
+--------
+ (4,10)
+(1 row)
+
+-- clean up
+DROP TABLE tidscan;
+DROP TABLE tidrangescan;
diff --git a/src/test/regress/sql/tidscan.sql b/src/test/regress/sql/tidscan.sql
index 02b094a..8f437e8 100644
--- a/src/test/regress/sql/tidscan.sql
+++ b/src/test/regress/sql/tidscan.sql
@@ -63,8 +63,6 @@ EXPLAIN (ANALYZE, COSTS OFF, SUMMARY OFF, TIMING OFF)
 UPDATE tidscan SET id = -id WHERE CURRENT OF c RETURNING *;
 ROLLBACK;
 
-DROP TABLE tidscan;
-
 -- tests for tidrangescans
 
 CREATE TABLE tidrangescan(id integer, data text);
@@ -140,3 +138,40 @@ SELECT ctid FROM tidrangescan_empty WHERE ctid < '(1, 0)';
 EXPLAIN (COSTS OFF)
 SELECT ctid FROM tidrangescan_empty WHERE ctid > '(9, 0)';
 SELECT ctid FROM tidrangescan_empty WHERE ctid > '(9, 0)';
+
+-- check that ordering on a tidscan doesn't require a sort
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid;
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid;
+
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid DESC;
+SELECT ctid FROM tidscan WHERE ctid = ANY(ARRAY['(0,2)', '(0,1)', '(0,3)']::tid[]) ORDER BY ctid DESC;
+
+-- ordering with no quals should use tid range scan
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidrangescan ORDER BY ctid ASC;
+
+EXPLAIN (COSTS OFF)
+SELECT ctid FROM tidrangescan ORDER BY ctid DESC;
+
+-- min/max
+EXPLAIN (COSTS OFF)
+SELECT MIN(ctid) FROM tidrangescan;
+SELECT MIN(ctid) FROM tidrangescan;
+
+EXPLAIN (COSTS OFF)
+SELECT MAX(ctid) FROM tidrangescan;
+SELECT MAX(ctid) FROM tidrangescan;
+
+EXPLAIN (COSTS OFF)
+SELECT MIN(ctid) FROM tidrangescan WHERE ctid > '(5,0)';
+SELECT MIN(ctid) FROM tidrangescan WHERE ctid > '(5,0)';
+
+EXPLAIN (COSTS OFF)
+SELECT MAX(ctid) FROM tidrangescan WHERE ctid < '(5,0)';
+SELECT MAX(ctid) FROM tidrangescan WHERE ctid < '(5,0)';
+
+-- clean up
+DROP TABLE tidscan;
+DROP TABLE tidrangescan;
-- 
2.7.4

