I finally found time to digest and integrate your changes into my local
branch.  This fixes the three issues you reported: FORCE_RELEASE, issue
with INVALID partitions issue (for which I adapted your patch into an
earlier patch in my series), and progress reporting.  And rebased.

-- 
Justin
>From 4ba360eaaac5e1ac169d41c26cf6213b0c6a2432 Mon Sep 17 00:00:00 2001
From: Justin Pryzby <pryz...@telsasoft.com>
Date: Sat, 6 Jun 2020 17:42:23 -0500
Subject: [PATCH] Allow CREATE INDEX CONCURRENTLY on partitioned table

Note, this effectively reverts 050098b14, so take care to not reintroduce the
bug it fixed.
---
 doc/src/sgml/ddl.sgml                  |   4 +-
 doc/src/sgml/ref/create_index.sgml     |   9 --
 src/backend/commands/indexcmds.c       | 214 +++++++++++++++++++------
 src/include/catalog/index.h            |   1 +
 src/test/regress/expected/indexing.out | 136 +++++++++++++++-
 src/test/regress/sql/indexing.sql      |  26 ++-
 6 files changed, 320 insertions(+), 70 deletions(-)

diff --git a/doc/src/sgml/ddl.sgml b/doc/src/sgml/ddl.sgml
index 03c01937094..fd56e21ef49 100644
--- a/doc/src/sgml/ddl.sgml
+++ b/doc/src/sgml/ddl.sgml
@@ -4131,9 +4131,7 @@ ALTER TABLE measurement ATTACH PARTITION measurement_y2008m02
      so that they are applied automatically to the entire hierarchy.
      This is very
      convenient, as not only will the existing partitions become indexed, but
-     also any partitions that are created in the future will.  One limitation is
-     that it's not possible to use the <literal>CONCURRENTLY</literal>
-     qualifier when creating such a partitioned index.  To avoid long lock
+     also any partitions that are created in the future will.  To avoid long lock
      times, it is possible to use <command>CREATE INDEX ON ONLY</command>
      the partitioned table; such an index is marked invalid, and the partitions
      do not get the index applied automatically.  The indexes on partitions can
diff --git a/doc/src/sgml/ref/create_index.sgml b/doc/src/sgml/ref/create_index.sgml
index 40986aa502f..fc8cda655f0 100644
--- a/doc/src/sgml/ref/create_index.sgml
+++ b/doc/src/sgml/ref/create_index.sgml
@@ -692,15 +692,6 @@ Indexes:
     cannot.
    </para>
 
-   <para>
-    Concurrent builds for indexes on partitioned tables are currently not
-    supported.  However, you may concurrently build the index on each
-    partition individually and then finally create the partitioned index
-    non-concurrently in order to reduce the time where writes to the
-    partitioned table will be locked out.  In this case, building the
-    partitioned index is a metadata only operation.
-   </para>
-
   </refsect2>
  </refsect1>
 
diff --git a/src/backend/commands/indexcmds.c b/src/backend/commands/indexcmds.c
index 91cee27743d..bb98e745267 100644
--- a/src/backend/commands/indexcmds.c
+++ b/src/backend/commands/indexcmds.c
@@ -71,6 +71,7 @@
 
 
 /* non-export function prototypes */
+static void reindex_invalid_child_indexes(Oid indexRelationId);
 static bool CompareOpclassOptions(Datum *opts1, Datum *opts2, int natts);
 static void CheckPredicate(Expr *predicate);
 static void ComputeIndexAttrs(IndexInfo *indexInfo,
@@ -104,7 +105,9 @@ static void reindex_error_callback(void *arg);
 static void ReindexPartitions(Oid relid, ReindexParams *params,
 							  bool isTopLevel);
 static void ReindexMultipleInternal(List *relids,
-									ReindexParams *params);
+									ReindexParams *params,
+									Oid parent,
+									int npart);
 static bool ReindexRelationConcurrently(Oid relationOid,
 										ReindexParams *params);
 static void update_relispartition(Oid relationId, bool newval);
@@ -697,17 +700,6 @@ DefineIndex(Oid relationId,
 	partitioned = rel->rd_rel->relkind == RELKIND_PARTITIONED_TABLE;
 	if (partitioned)
 	{
-		/*
-		 * Note: we check 'stmt->concurrent' rather than 'concurrent', so that
-		 * the error is thrown also for temporary tables.  Seems better to be
-		 * consistent, even though we could do it on temporary table because
-		 * we're not actually doing it concurrently.
-		 */
-		if (stmt->concurrent)
-			ereport(ERROR,
-					(errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
-					 errmsg("cannot create index on partitioned table \"%s\" concurrently",
-							RelationGetRelationName(rel))));
 		if (stmt->excludeOpNames)
 			ereport(ERROR,
 					(errcode(ERRCODE_FEATURE_NOT_SUPPORTED),
@@ -1147,6 +1139,11 @@ DefineIndex(Oid relationId,
 		if (pd->nparts != 0)
 			flags |= INDEX_CREATE_INVALID;
 	}
+	else if (concurrent && OidIsValid(parentIndexId))
+	{
+		/* If concurrent, initially build index partitions as "invalid" */
+		flags |= INDEX_CREATE_INVALID;
+	}
 
 	if (stmt->deferrable)
 		constr_flags |= INDEX_CONSTR_CREATE_DEFERRABLE;
@@ -1212,17 +1209,30 @@ DefineIndex(Oid relationId,
 		partdesc = RelationGetPartitionDesc(rel, true);
 		if ((!stmt->relation || stmt->relation->inh) && partdesc->nparts > 0)
 		{
+			/*
+			 * Need to close the relation before recursing into children, so
+			 * copy needed data into a longlived context.
+			 */
+
+			MemoryContext	ind_context = AllocSetContextCreate(PortalContext, "CREATE INDEX",
+					ALLOCSET_DEFAULT_SIZES);
+			MemoryContext	oldcontext = MemoryContextSwitchTo(ind_context);
 			int			nparts = partdesc->nparts;
 			Oid		   *part_oids = palloc_array(Oid, nparts);
 			bool		invalidate_parent = false;
 			Relation	parentIndex;
 			TupleDesc	parentDesc;
+			char		*relname;
 
 			pgstat_progress_update_param(PROGRESS_CREATEIDX_PARTITIONS_TOTAL,
 										 nparts);
 
 			/* Make a local copy of partdesc->oids[], just for safety */
 			memcpy(part_oids, partdesc->oids, sizeof(Oid) * nparts);
+			parentDesc = CreateTupleDescCopy(RelationGetDescr(rel));
+			relname = pstrdup(RelationGetRelationName(rel));
+			table_close(rel, NoLock);
+			MemoryContextSwitchTo(oldcontext);
 
 			/*
 			 * We'll need an IndexInfo describing the parent index.  The one
@@ -1235,8 +1245,6 @@ DefineIndex(Oid relationId,
 			parentIndex = index_open(indexRelationId, lockmode);
 			indexInfo = BuildIndexInfo(parentIndex);
 
-			parentDesc = RelationGetDescr(rel);
-
 			/*
 			 * For each partition, scan all existing indexes; if one matches
 			 * our index definition and is not already attached to some other
@@ -1276,9 +1284,9 @@ DefineIndex(Oid relationId,
 						ereport(ERROR,
 								(errcode(ERRCODE_WRONG_OBJECT_TYPE),
 								 errmsg("cannot create unique index on partitioned table \"%s\"",
-										RelationGetRelationName(rel)),
+										relname),
 								 errdetail("Table \"%s\" contains partitions that are foreign tables.",
-										   RelationGetRelationName(rel))));
+										   relname)));
 
 					AtEOXact_GUC(false, child_save_nestlevel);
 					SetUserIdAndSecContext(child_save_userid,
@@ -1364,10 +1372,14 @@ DefineIndex(Oid relationId,
 				 */
 				if (!found)
 				{
-					IndexStmt  *childStmt = copyObject(stmt);
+					IndexStmt  *childStmt;
 					bool		found_whole_row;
 					ListCell   *lc;
 
+					oldcontext = MemoryContextSwitchTo(ind_context);
+					childStmt = copyObject(stmt);
+					MemoryContextSwitchTo(oldcontext);
+
 					/*
 					 * We can't use the same index name for the child index,
 					 * so clear idxname to let the recursive invocation choose
@@ -1426,14 +1438,24 @@ DefineIndex(Oid relationId,
 								createdConstraintId,
 								is_alter_table, check_rights, check_not_in_use,
 								skip_build, quiet);
+
 					SetUserIdAndSecContext(child_save_userid,
 										   child_save_sec_context);
+					if (concurrent)
+					{
+						PopActiveSnapshot();
+						PushActiveSnapshot(GetTransactionSnapshot());
+						invalidate_parent = true;
+					}
 				}
 
-				pgstat_progress_update_param(PROGRESS_CREATEIDX_PARTITIONS_DONE,
-											 i + 1);
+				/* For concurrent build, this is a catalog-only stage */
+				if (!concurrent)
+					pgstat_progress_update_param(PROGRESS_CREATEIDX_PARTITIONS_DONE,
+												 i + 1);
 				free_attrmap(attmap);
 			}
+			pfree(relname);
 
 			index_close(parentIndex, lockmode);
 
@@ -1443,46 +1465,40 @@ DefineIndex(Oid relationId,
 			 * invalid, this is incorrect, so update our row to invalid too.
 			 */
 			if (invalidate_parent)
-			{
-				Relation	pg_index = table_open(IndexRelationId, RowExclusiveLock);
-				HeapTuple	tup,
-							newtup;
-
-				tup = SearchSysCache1(INDEXRELID,
-									  ObjectIdGetDatum(indexRelationId));
-				if (!HeapTupleIsValid(tup))
-					elog(ERROR, "cache lookup failed for index %u",
-						 indexRelationId);
-				newtup = heap_copytuple(tup);
-				((Form_pg_index) GETSTRUCT(newtup))->indisvalid = false;
-				CatalogTupleUpdate(pg_index, &tup->t_self, newtup);
-				ReleaseSysCache(tup);
-				table_close(pg_index, RowExclusiveLock);
-				heap_freetuple(newtup);
-			}
-		}
+				index_set_state_flags(indexRelationId, INDEX_DROP_CLEAR_VALID);
+		} else
+			table_close(rel, NoLock);
 
 		/*
 		 * Indexes on partitioned tables are not themselves built, so we're
 		 * done here.
 		 */
+
 		AtEOXact_GUC(false, root_save_nestlevel);
 		SetUserIdAndSecContext(root_save_userid, root_save_sec_context);
-		table_close(rel, NoLock);
+
 		if (!OidIsValid(parentIndexId))
+		{
+			if (concurrent)
+				reindex_invalid_child_indexes(indexRelationId);
+
 			pgstat_progress_end_command();
+		}
+
 		return address;
 	}
 
 	AtEOXact_GUC(false, root_save_nestlevel);
 	SetUserIdAndSecContext(root_save_userid, root_save_sec_context);
 
-	if (!concurrent)
+	if (!concurrent || OidIsValid(parentIndexId))
 	{
-		/* Close the heap and we're done, in the non-concurrent case */
-		table_close(rel, NoLock);
+		/*
+		 * We're done if this is the top-level index,
+		 * or the catalog-only phase of a partition built concurrently
+		 */
 
-		/* If this is the top-level index, we're done. */
+		table_close(rel, NoLock);
 		if (!OidIsValid(parentIndexId))
 			pgstat_progress_end_command();
 
@@ -1695,6 +1711,70 @@ DefineIndex(Oid relationId,
 	return address;
 }
 
+/* Reindex invalid child indexes created earlier */
+static void
+reindex_invalid_child_indexes(Oid indexRelationId)
+{
+	ListCell *lc;
+	List	*parentindexes = NIL;
+	int	npart = 1;
+	ReindexParams params = {
+		.options = REINDEXOPT_CONCURRENTLY | REINDEXOPT_REPORT_CREATE_PART
+	};
+
+	MemoryContext	ind_context = AllocSetContextCreate(PortalContext, "CREATE INDEX",
+			ALLOCSET_DEFAULT_SIZES);
+	MemoryContext	oldcontext;
+	List		*childs = find_all_inheritors(indexRelationId, ShareLock, NULL);
+	List		*partitions = NIL;
+
+	PreventInTransactionBlock(true, "REINDEX INDEX");
+
+	foreach (lc, childs)
+	{
+		Oid			partoid = lfirst_oid(lc);
+		char		partkind = get_rel_relkind(partoid);
+
+		if (partkind == RELKIND_PARTITIONED_INDEX)
+		{
+			oldcontext = MemoryContextSwitchTo(ind_context);
+			parentindexes = lappend_oid(parentindexes, partoid);
+			MemoryContextSwitchTo(oldcontext);
+		}
+
+		// npart++ ?
+		if (!RELKIND_HAS_STORAGE(partkind) || get_index_isvalid(partoid))
+			continue;
+
+		/* Save partition OID */
+		oldcontext = MemoryContextSwitchTo(ind_context);
+		partitions = lappend_oid(partitions, partoid);
+		MemoryContextSwitchTo(oldcontext);
+	}
+
+	/*
+	 * Process each partition listed in a separate transaction.  Note that
+	 * this commits and then starts a new transaction immediately.
+	 * XXX: since this is done in 2*N transactions, it could just as well
+	 * call ReindexRelationConcurrently directly
+	 */
+	ReindexMultipleInternal(partitions, &params, indexRelationId, npart);
+
+	/*
+	 * CIC needs to mark a partitioned index as VALID, which itself
+	 * requires setting READY, which is unset for CIC (even though it's
+	 * meaningless for an index without storage).  This must be done only
+	 * while holding a lock which precludes adding partitions.
+	 * See also: validatePartitionedIndex().
+	 */
+	foreach (lc, parentindexes)
+	{
+		Oid	partoid = lfirst_oid(lc);
+		index_set_state_flags(partoid, INDEX_CREATE_SET_READY);
+		CommandCounterIncrement();
+		index_set_state_flags(partoid, INDEX_CREATE_SET_VALID);
+	}
+}
 
 /*
  * CheckMutability
@@ -3084,7 +3164,7 @@ ReindexMultipleTables(const char *objectName, ReindexObjectType objectKind,
 	 * Process each relation listed in a separate transaction.  Note that this
 	 * commits and then starts a new transaction immediately.
 	 */
-	ReindexMultipleInternal(relids, params);
+	ReindexMultipleInternal(relids, params, InvalidOid, 0);
 
 	MemoryContextDelete(private_context);
 }
@@ -3120,6 +3200,7 @@ ReindexPartitions(Oid relid, ReindexParams *params, bool isTopLevel)
 	char		relkind = get_rel_relkind(relid);
 	char	   *relname = get_rel_name(relid);
 	char	   *relnamespace = get_namespace_name(get_rel_namespace(relid));
+	int			npart = 1;
 	MemoryContext reindex_context;
 	List	   *inhoids;
 	ListCell   *lc;
@@ -3190,7 +3271,7 @@ ReindexPartitions(Oid relid, ReindexParams *params, bool isTopLevel)
 	 * Process each partition listed in a separate transaction.  Note that
 	 * this commits and then starts a new transaction immediately.
 	 */
-	ReindexMultipleInternal(partitions, params);
+	ReindexMultipleInternal(partitions, params, relid, npart);
 
 	/*
 	 * Clean up working storage --- note we must do this after
@@ -3208,7 +3289,7 @@ ReindexPartitions(Oid relid, ReindexParams *params, bool isTopLevel)
  * and starts a new transaction when finished.
  */
 static void
-ReindexMultipleInternal(List *relids, ReindexParams *params)
+ReindexMultipleInternal(List *relids, ReindexParams *params, Oid parent, int npart)
 {
 	ListCell   *l;
 
@@ -3302,6 +3383,29 @@ ReindexMultipleInternal(List *relids, ReindexParams *params)
 		}
 
 		CommitTransactionCommand();
+
+		if (params->options & REINDEXOPT_REPORT_CREATE_PART)
+		{
+			/*
+			 * Update pgstat progress report to indicate that create index on
+			 * partition was finished.
+			 */
+			const int   progress_cols[] = {
+				PROGRESS_CREATEIDX_COMMAND,
+				PROGRESS_CREATEIDX_INDEX_OID,
+				PROGRESS_CREATEIDX_PHASE,
+				PROGRESS_CREATEIDX_PARTITIONS_DONE
+			};
+			const int64 progress_vals[] = {
+				PROGRESS_CREATEIDX_COMMAND_CREATE_CONCURRENTLY,
+				parent,
+				PROGRESS_CREATEIDX_PHASE_VALIDATE_IDXSCAN,
+				npart++
+			};
+
+			pgstat_progress_update_multi_param(4, progress_cols, progress_vals);
+		}
+
 	}
 
 	StartTransactionCommand();
@@ -3697,7 +3801,9 @@ ReindexRelationConcurrently(Oid relationOid, ReindexParams *params)
 		if (indexRel->rd_rel->relpersistence == RELPERSISTENCE_TEMP)
 			elog(ERROR, "cannot reindex a temporary table concurrently");
 
-		pgstat_progress_start_command(PROGRESS_COMMAND_CREATE_INDEX,
+		/* Don't overwrite CREATE INDEX command */
+		if (!(params->options & REINDEXOPT_REPORT_CREATE_PART))
+			pgstat_progress_start_command(PROGRESS_COMMAND_CREATE_INDEX,
 									  idx->tableId);
 
 		progress_vals[0] = PROGRESS_CREATEIDX_COMMAND_REINDEX_CONCURRENTLY;
@@ -3857,9 +3963,11 @@ ReindexRelationConcurrently(Oid relationOid, ReindexParams *params)
 
 		/*
 		 * Update progress for the index to build, with the correct parent
-		 * table involved.
+		 * table involved.  Don't overwrite CREATE INDEX command.
 		 */
-		pgstat_progress_start_command(PROGRESS_COMMAND_CREATE_INDEX, newidx->tableId);
+		if (!(params->options & REINDEXOPT_REPORT_CREATE_PART))
+			pgstat_progress_start_command(PROGRESS_COMMAND_CREATE_INDEX, newidx->tableId);
+
 		progress_vals[0] = PROGRESS_CREATEIDX_COMMAND_REINDEX_CONCURRENTLY;
 		progress_vals[1] = PROGRESS_CREATEIDX_PHASE_BUILD;
 		progress_vals[2] = newidx->indexId;
@@ -3921,10 +4029,12 @@ ReindexRelationConcurrently(Oid relationOid, ReindexParams *params)
 
 		/*
 		 * Update progress for the index to build, with the correct parent
-		 * table involved.
+		 * table involved. Don't overwrite CREATE INDEX command.
 		 */
-		pgstat_progress_start_command(PROGRESS_COMMAND_CREATE_INDEX,
+		if (!(params->options & REINDEXOPT_REPORT_CREATE_PART))
+			pgstat_progress_start_command(PROGRESS_COMMAND_CREATE_INDEX,
 									  newidx->tableId);
+
 		progress_vals[0] = PROGRESS_CREATEIDX_COMMAND_REINDEX_CONCURRENTLY;
 		progress_vals[1] = PROGRESS_CREATEIDX_PHASE_VALIDATE_IDXSCAN;
 		progress_vals[2] = newidx->indexId;
@@ -4159,7 +4269,9 @@ ReindexRelationConcurrently(Oid relationOid, ReindexParams *params)
 
 	MemoryContextDelete(private_context);
 
-	pgstat_progress_end_command();
+	/* Don't overwrite CREATE INDEX command. */
+	if (!(params->options & REINDEXOPT_REPORT_CREATE_PART))
+		pgstat_progress_end_command();
 
 	return true;
 }
diff --git a/src/include/catalog/index.h b/src/include/catalog/index.h
index 91c28868d47..4142894c230 100644
--- a/src/include/catalog/index.h
+++ b/src/include/catalog/index.h
@@ -42,6 +42,7 @@ typedef struct ReindexParams
 #define REINDEXOPT_REPORT_PROGRESS 0x02 /* report pgstat progress */
 #define REINDEXOPT_MISSING_OK 	0x04	/* skip missing relations */
 #define REINDEXOPT_CONCURRENTLY	0x08	/* concurrent mode */
+#define REINDEXOPT_REPORT_CREATE_PART	0x10	/* report that index was created for partition */
 
 /* state info for validate_index bulkdelete callback */
 typedef struct ValidateIndexState
diff --git a/src/test/regress/expected/indexing.out b/src/test/regress/expected/indexing.out
index 1bdd430f063..6b2320244b8 100644
--- a/src/test/regress/expected/indexing.out
+++ b/src/test/regress/expected/indexing.out
@@ -50,11 +50,139 @@ select relname, relkind, relhassubclass, inhparent::regclass
 (8 rows)
 
 drop table idxpart;
--- Some unsupported features
+-- CIC on partitioned table
 create table idxpart (a int, b int, c text) partition by range (a);
-create table idxpart1 partition of idxpart for values from (0) to (10);
-create index concurrently on idxpart (a);
-ERROR:  cannot create index on partitioned table "idxpart" concurrently
+create table idxpart1 partition of idxpart for values from (0) to (10) partition by range(a);
+create table idxpart11 partition of idxpart1 for values from (0) to (10) partition by range(a);
+create table idxpart111 partition of idxpart11 default partition by range(a);
+create table idxpart1111 partition of idxpart111 default partition by range(a);
+create table idxpart2 partition of idxpart for values from (10) to (20);
+create table idxpart3 partition of idxpart for values from (30) to (40) partition by range(a);
+create table idxpart31 partition of idxpart3 default;
+insert into idxpart2 values(10),(10); -- not unique
+create index concurrently on idxpart (a); -- partitioned
+create index concurrently on idxpart1 (a); -- partitioned and partition
+create index concurrently on idxpart11 (a); -- partitioned and partition, with no leaves
+create index concurrently on idxpart2 (a); -- leaf
+create unique index concurrently on idxpart (a); -- partitioned, unique failure
+ERROR:  could not create unique index "idxpart2_a_idx2_ccnew"
+DETAIL:  Key (a)=(10) is duplicated.
+\d idxpart
+        Partitioned table "public.idxpart"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition key: RANGE (a)
+Indexes:
+    "idxpart_a_idx" btree (a)
+    "idxpart_a_idx1" UNIQUE, btree (a) INVALID
+Number of partitions: 3 (Use \d+ to list them.)
+
+\d idxpart1
+        Partitioned table "public.idxpart1"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition of: idxpart FOR VALUES FROM (0) TO (10)
+Partition key: RANGE (a)
+Indexes:
+    "idxpart1_a_idx" btree (a)
+    "idxpart1_a_idx1" btree (a)
+    "idxpart1_a_idx2" UNIQUE, btree (a) INVALID
+Number of partitions: 1 (Use \d+ to list them.)
+
+\d idxpart11
+       Partitioned table "public.idxpart11"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition of: idxpart1 FOR VALUES FROM (0) TO (10)
+Partition key: RANGE (a)
+Indexes:
+    "idxpart11_a_idx" btree (a)
+    "idxpart11_a_idx1" btree (a)
+    "idxpart11_a_idx2" btree (a)
+    "idxpart11_a_idx3" UNIQUE, btree (a) INVALID
+Number of partitions: 1 (Use \d+ to list them.)
+
+\d idxpart111
+       Partitioned table "public.idxpart111"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition of: idxpart11 DEFAULT
+Partition key: RANGE (a)
+Indexes:
+    "idxpart111_a_idx" btree (a)
+    "idxpart111_a_idx1" btree (a)
+    "idxpart111_a_idx2" btree (a)
+    "idxpart111_a_idx3" UNIQUE, btree (a) INVALID
+Number of partitions: 1 (Use \d+ to list them.)
+
+\d idxpart1111
+      Partitioned table "public.idxpart1111"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition of: idxpart111 DEFAULT
+Partition key: RANGE (a)
+Indexes:
+    "idxpart1111_a_idx" btree (a)
+    "idxpart1111_a_idx1" btree (a)
+    "idxpart1111_a_idx2" btree (a)
+    "idxpart1111_a_idx3" UNIQUE, btree (a) INVALID
+Number of partitions: 0
+
+\d idxpart2
+              Table "public.idxpart2"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition of: idxpart FOR VALUES FROM (10) TO (20)
+Indexes:
+    "idxpart2_a_idx" btree (a)
+    "idxpart2_a_idx1" btree (a)
+    "idxpart2_a_idx2" UNIQUE, btree (a) INVALID
+    "idxpart2_a_idx2_ccnew" UNIQUE, btree (a) INVALID
+
+\d idxpart3
+        Partitioned table "public.idxpart3"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition of: idxpart FOR VALUES FROM (30) TO (40)
+Partition key: RANGE (a)
+Indexes:
+    "idxpart3_a_idx" btree (a)
+    "idxpart3_a_idx1" UNIQUE, btree (a) INVALID
+Number of partitions: 1 (Use \d+ to list them.)
+
+\d idxpart31
+             Table "public.idxpart31"
+ Column |  Type   | Collation | Nullable | Default 
+--------+---------+-----------+----------+---------
+ a      | integer |           |          | 
+ b      | integer |           |          | 
+ c      | text    |           |          | 
+Partition of: idxpart3 DEFAULT
+Indexes:
+    "idxpart31_a_idx" btree (a)
+    "idxpart31_a_idx1" UNIQUE, btree (a) INVALID
+
 drop table idxpart;
 -- Verify bugfix with query on indexed partitioned table with no partitions
 -- https://postgr.es/m/20180124162006.pmapfiznhgngwtjf@alvherre.pgsql
diff --git a/src/test/regress/sql/indexing.sql b/src/test/regress/sql/indexing.sql
index 429120e7104..14e0513386c 100644
--- a/src/test/regress/sql/indexing.sql
+++ b/src/test/regress/sql/indexing.sql
@@ -29,10 +29,30 @@ select relname, relkind, relhassubclass, inhparent::regclass
 	where relname like 'idxpart%' order by relname;
 drop table idxpart;
 
--- Some unsupported features
+-- CIC on partitioned table
 create table idxpart (a int, b int, c text) partition by range (a);
-create table idxpart1 partition of idxpart for values from (0) to (10);
-create index concurrently on idxpart (a);
+create table idxpart1 partition of idxpart for values from (0) to (10) partition by range(a);
+create table idxpart11 partition of idxpart1 for values from (0) to (10) partition by range(a);
+create table idxpart111 partition of idxpart11 default partition by range(a);
+create table idxpart1111 partition of idxpart111 default partition by range(a);
+create table idxpart2 partition of idxpart for values from (10) to (20);
+create table idxpart3 partition of idxpart for values from (30) to (40) partition by range(a);
+create table idxpart31 partition of idxpart3 default;
+
+insert into idxpart2 values(10),(10); -- not unique
+create index concurrently on idxpart (a); -- partitioned
+create index concurrently on idxpart1 (a); -- partitioned and partition
+create index concurrently on idxpart11 (a); -- partitioned and partition, with no leaves
+create index concurrently on idxpart2 (a); -- leaf
+create unique index concurrently on idxpart (a); -- partitioned, unique failure
+\d idxpart
+\d idxpart1
+\d idxpart11
+\d idxpart111
+\d idxpart1111
+\d idxpart2
+\d idxpart3
+\d idxpart31
 drop table idxpart;
 
 -- Verify bugfix with query on indexed partitioned table with no partitions
-- 
2.25.1

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