I wrote:
> I had an idea about that.  I've not tested this, but I think it would be
> a trivial matter of adding a coalesce() call to make the query act like
> the type name for a not-present argument is an empty string, rather than
> NULL which is what it gets right now.  Then you could do what I think
> you're asking for with

> \df foo integer ""

Actually, what would make more sense is to treat "-" as specifying
a non-existent argument.  There are precedents for that in, eg, \c,
and a dash is a little more robust than an empty-string argument.
So that leads me to 0001 attached.

> As for the point about "int" versus "integer" and so on, I wouldn't
> be averse to installing a mapping layer for that, so long as we
> did it to \dT as well.

And for that, I suggest 0002.  (We only need mappings for cases that
don't work out-of-the-box, so your list seemed a bit redundant.)

                        regards, tom lane

diff --git a/doc/src/sgml/ref/psql-ref.sgml b/doc/src/sgml/ref/psql-ref.sgml
index c1451c1672..ddb7043362 100644
--- a/doc/src/sgml/ref/psql-ref.sgml
+++ b/doc/src/sgml/ref/psql-ref.sgml
@@ -1567,7 +1567,7 @@ testdb=>
 
 
       <varlistentry>
-        <term><literal>\df[anptwS+] [ <link linkend="app-psql-patterns"><replaceable class="parameter">pattern</replaceable></link> ]</literal></term>
+        <term><literal>\df[anptwS+] [ <link linkend="app-psql-patterns"><replaceable class="parameter">pattern</replaceable></link> [ <replaceable class="parameter">arg_pattern</replaceable> ... ] ]</literal></term>
 
         <listitem>
         <para>
@@ -1580,6 +1580,11 @@ testdb=&gt;
         If <replaceable
         class="parameter">pattern</replaceable> is specified, only
         functions whose names match the pattern are shown.
+        Any additional arguments are type-name patterns, which are matched
+        to the type names of the first, second, and so on arguments of the
+        function.  (Matching functions can have more arguments than what
+        you specify.  To prevent that, write a dash <literal>-</literal> as
+        the last <replaceable class="parameter">arg_pattern</replaceable>.)
         By default, only user-created
         objects are shown; supply a pattern or the <literal>S</literal>
         modifier to include system objects.
@@ -1589,14 +1594,6 @@ testdb=&gt;
         language, source code and description.
         </para>
 
-        <tip>
-        <para>
-        To look up functions taking arguments or returning values of a specific
-        data type, use your pager's search capability to scroll through the
-        <literal>\df</literal> output.
-        </para>
-        </tip>
-
         </listitem>
       </varlistentry>
 
@@ -1721,12 +1718,19 @@ testdb=&gt;
 
 
       <varlistentry>
-        <term><literal>\do[S+] [ <link linkend="app-psql-patterns"><replaceable class="parameter">pattern</replaceable></link> ]</literal></term>
+        <term><literal>\do[S+] [ <link linkend="app-psql-patterns"><replaceable class="parameter">pattern</replaceable></link> [ <replaceable class="parameter">arg_pattern</replaceable> [ <replaceable class="parameter">arg_pattern</replaceable> ] ] ]</literal></term>
         <listitem>
         <para>
         Lists operators with their operand and result types.
         If <replaceable class="parameter">pattern</replaceable> is
         specified, only operators whose names match the pattern are listed.
+        If one <replaceable class="parameter">arg_pattern</replaceable> is
+        specified, only prefix operators whose right argument's type name
+        matches that pattern are listed.
+        If two <replaceable class="parameter">arg_pattern</replaceable>s
+        are specified, only binary operators whose argument type names match
+        those patterns are listed.  (Alternatively, write <literal>-</literal>
+        for the unused argument of a unary operator.)
         By default, only user-created objects are shown; supply a
         pattern or the <literal>S</literal> modifier to include system
         objects.
@@ -4986,6 +4990,22 @@ second | four
 </programlisting>
   </para>
 
+  <para>
+   Here is an example of using the <command>\df</command> command to
+   find only functions with names matching <literal>int*pl</literal>
+   and whose second argument is of type <type>bigint</type>:
+<programlisting>
+testdb=&gt; <userinput>\df int*pl * bigint</userinput>
+                          List of functions
+   Schema   |  Name   | Result data type | Argument data types | Type
+------------+---------+------------------+---------------------+------
+ pg_catalog | int28pl | bigint           | smallint, bigint    | func
+ pg_catalog | int48pl | bigint           | integer, bigint     | func
+ pg_catalog | int8pl  | bigint           | bigint, bigint      | func
+(3 rows)
+</programlisting>
+  </para>
+
   <para>
   When suitable, query results can be shown in a crosstab representation
   with the <command>\crosstabview</command> command:
diff --git a/src/bin/psql/command.c b/src/bin/psql/command.c
index e04ccc5b62..543401c6d6 100644
--- a/src/bin/psql/command.c
+++ b/src/bin/psql/command.c
@@ -72,6 +72,9 @@ static backslashResult exec_command_copyright(PsqlScanState scan_state, bool act
 static backslashResult exec_command_crosstabview(PsqlScanState scan_state, bool active_branch);
 static backslashResult exec_command_d(PsqlScanState scan_state, bool active_branch,
 									  const char *cmd);
+static bool exec_command_dfo(PsqlScanState scan_state, const char *cmd,
+							 const char *pattern,
+							 bool show_verbose, bool show_system);
 static backslashResult exec_command_edit(PsqlScanState scan_state, bool active_branch,
 										 PQExpBuffer query_buf, PQExpBuffer previous_buf);
 static backslashResult exec_command_ef_ev(PsqlScanState scan_state, bool active_branch,
@@ -790,7 +793,8 @@ exec_command_d(PsqlScanState scan_state, bool active_branch, const char *cmd)
 					case 'p':
 					case 't':
 					case 'w':
-						success = describeFunctions(&cmd[2], pattern, show_verbose, show_system);
+						success = exec_command_dfo(scan_state, cmd, pattern,
+												   show_verbose, show_system);
 						break;
 					default:
 						status = PSQL_CMD_UNKNOWN;
@@ -811,7 +815,8 @@ exec_command_d(PsqlScanState scan_state, bool active_branch, const char *cmd)
 				success = listSchemas(pattern, show_verbose, show_system);
 				break;
 			case 'o':
-				success = describeOperators(pattern, show_verbose, show_system);
+				success = exec_command_dfo(scan_state, cmd, pattern,
+										   show_verbose, show_system);
 				break;
 			case 'O':
 				success = listCollations(pattern, show_verbose, show_system);
@@ -951,6 +956,45 @@ exec_command_d(PsqlScanState scan_state, bool active_branch, const char *cmd)
 	return status;
 }
 
+/* \df and \do; messy enough to split out of exec_command_d */
+static bool
+exec_command_dfo(PsqlScanState scan_state, const char *cmd,
+				 const char *pattern,
+				 bool show_verbose, bool show_system)
+{
+	bool		success;
+	char	   *arg_patterns[FUNC_MAX_ARGS];
+	int			num_arg_patterns = 0;
+
+	/* Collect argument-type patterns too */
+	if (pattern)				/* otherwise it was just \df or \do */
+	{
+		char	   *ap;
+
+		while ((ap = psql_scan_slash_option(scan_state,
+											OT_NORMAL, NULL, true)) != NULL)
+		{
+			arg_patterns[num_arg_patterns++] = ap;
+			if (num_arg_patterns >= FUNC_MAX_ARGS)
+				break;			/* protect limited-size array */
+		}
+	}
+
+	if (cmd[1] == 'f')
+		success = describeFunctions(&cmd[2], pattern,
+									arg_patterns, num_arg_patterns,
+									show_verbose, show_system);
+	else
+		success = describeOperators(pattern,
+									arg_patterns, num_arg_patterns,
+									show_verbose, show_system);
+
+	while (--num_arg_patterns >= 0)
+		free(arg_patterns[num_arg_patterns]);
+
+	return success;
+}
+
 /*
  * \e or \edit -- edit the current query buffer, or edit a file and
  * make it the query buffer
diff --git a/src/bin/psql/describe.c b/src/bin/psql/describe.c
index 52f7b2ce78..cd829e0759 100644
--- a/src/bin/psql/describe.c
+++ b/src/bin/psql/describe.c
@@ -312,7 +312,9 @@ describeTablespaces(const char *pattern, bool verbose)
  * and you can mix and match these in any order.
  */
 bool
-describeFunctions(const char *functypes, const char *pattern, bool verbose, bool showSystem)
+describeFunctions(const char *functypes, const char *func_pattern,
+				  char **arg_patterns, int num_arg_patterns,
+				  bool verbose, bool showSystem)
 {
 	bool		showAggregate = strchr(functypes, 'a') != NULL;
 	bool		showNormal = strchr(functypes, 'n') != NULL;
@@ -524,6 +526,14 @@ describeFunctions(const char *functypes, const char *pattern, bool verbose, bool
 						 "\nFROM pg_catalog.pg_proc p"
 						 "\n     LEFT JOIN pg_catalog.pg_namespace n ON n.oid = p.pronamespace\n");
 
+	for (int i = 0; i < num_arg_patterns; i++)
+	{
+		appendPQExpBuffer(&buf,
+						  "     LEFT JOIN pg_catalog.pg_type t%d ON t%d.oid = p.proargtypes[%d]\n"
+						  "     LEFT JOIN pg_catalog.pg_namespace nt%d ON nt%d.oid = t%d.typnamespace\n",
+						  i, i, i, i, i, i);
+	}
+
 	if (verbose)
 		appendPQExpBufferStr(&buf,
 							 "     LEFT JOIN pg_catalog.pg_language l ON l.oid = p.prolang\n");
@@ -629,11 +639,42 @@ describeFunctions(const char *functypes, const char *pattern, bool verbose, bool
 		appendPQExpBufferStr(&buf, "      )\n");
 	}
 
-	processSQLNamePattern(pset.db, &buf, pattern, have_where, false,
+	processSQLNamePattern(pset.db, &buf, func_pattern, have_where, false,
 						  "n.nspname", "p.proname", NULL,
 						  "pg_catalog.pg_function_is_visible(p.oid)");
 
-	if (!showSystem && !pattern)
+	for (int i = 0; i < num_arg_patterns; i++)
+	{
+		if (strcmp(arg_patterns[i], "-") != 0)
+		{
+			/*
+			 * Match type-name patterns against either internal or external
+			 * name, like \dT.  Unlike \dT, there seems no reason to
+			 * discriminate against arrays or composite types.
+			 */
+			char		nspname[64];
+			char		typname[64];
+			char		ft[64];
+			char		tiv[64];
+
+			snprintf(nspname, sizeof(nspname), "nt%d.nspname", i);
+			snprintf(typname, sizeof(typname), "t%d.typname", i);
+			snprintf(ft, sizeof(ft),
+					 "pg_catalog.format_type(t%d.oid, NULL)", i);
+			snprintf(tiv, sizeof(tiv),
+					 "pg_catalog.pg_type_is_visible(t%d.oid)", i);
+			processSQLNamePattern(pset.db, &buf, arg_patterns[i],
+								  true, false,
+								  nspname, typname, ft, tiv);
+		}
+		else
+		{
+			/* "-" pattern specifies no such parameter */
+			appendPQExpBuffer(&buf, "  AND t%d.typname IS NULL\n", i);
+		}
+	}
+
+	if (!showSystem && !func_pattern)
 		appendPQExpBufferStr(&buf, "      AND n.nspname <> 'pg_catalog'\n"
 							 "      AND n.nspname <> 'information_schema'\n");
 
@@ -787,7 +828,9 @@ describeTypes(const char *pattern, bool verbose, bool showSystem)
  * Describe operators
  */
 bool
-describeOperators(const char *pattern, bool verbose, bool showSystem)
+describeOperators(const char *oper_pattern,
+				  char **arg_patterns, int num_arg_patterns,
+				  bool verbose, bool showSystem)
 {
 	PQExpBufferData buf;
 	PGresult   *res;
@@ -836,14 +879,65 @@ describeOperators(const char *pattern, bool verbose, bool showSystem)
 					  "     LEFT JOIN pg_catalog.pg_namespace n ON n.oid = o.oprnamespace\n",
 					  gettext_noop("Description"));
 
-	if (!showSystem && !pattern)
+	if (num_arg_patterns >= 2)
+	{
+		num_arg_patterns = 2;	/* ignore any additional arguments */
+		appendPQExpBufferStr(&buf,
+							 "     LEFT JOIN pg_catalog.pg_type t0 ON t0.oid = o.oprleft\n"
+							 "     LEFT JOIN pg_catalog.pg_namespace nt0 ON nt0.oid = t0.typnamespace\n"
+							 "     LEFT JOIN pg_catalog.pg_type t1 ON t1.oid = o.oprright\n"
+							 "     LEFT JOIN pg_catalog.pg_namespace nt1 ON nt1.oid = t1.typnamespace\n");
+	}
+	else if (num_arg_patterns == 1)
+	{
+		appendPQExpBufferStr(&buf,
+							 "     LEFT JOIN pg_catalog.pg_type t0 ON t0.oid = o.oprright\n"
+							 "     LEFT JOIN pg_catalog.pg_namespace nt0 ON nt0.oid = t0.typnamespace\n");
+	}
+
+	if (!showSystem && !oper_pattern)
 		appendPQExpBufferStr(&buf, "WHERE n.nspname <> 'pg_catalog'\n"
 							 "      AND n.nspname <> 'information_schema'\n");
 
-	processSQLNamePattern(pset.db, &buf, pattern, !showSystem && !pattern, true,
+	processSQLNamePattern(pset.db, &buf, oper_pattern,
+						  !showSystem && !oper_pattern, true,
 						  "n.nspname", "o.oprname", NULL,
 						  "pg_catalog.pg_operator_is_visible(o.oid)");
 
+	if (num_arg_patterns == 1)
+		appendPQExpBufferStr(&buf, "  AND o.oprleft = 0\n");
+
+	for (int i = 0; i < num_arg_patterns; i++)
+	{
+		if (strcmp(arg_patterns[i], "-") != 0)
+		{
+			/*
+			 * Match type-name patterns against either internal or external
+			 * name, like \dT.  Unlike \dT, there seems no reason to
+			 * discriminate against arrays or composite types.
+			 */
+			char		nspname[64];
+			char		typname[64];
+			char		ft[64];
+			char		tiv[64];
+
+			snprintf(nspname, sizeof(nspname), "nt%d.nspname", i);
+			snprintf(typname, sizeof(typname), "t%d.typname", i);
+			snprintf(ft, sizeof(ft),
+					 "pg_catalog.format_type(t%d.oid, NULL)", i);
+			snprintf(tiv, sizeof(tiv),
+					 "pg_catalog.pg_type_is_visible(t%d.oid)", i);
+			processSQLNamePattern(pset.db, &buf, arg_patterns[i],
+								  true, false,
+								  nspname, typname, ft, tiv);
+		}
+		else
+		{
+			/* "-" pattern specifies no such parameter */
+			appendPQExpBuffer(&buf, "  AND t%d.typname IS NULL\n", i);
+		}
+	}
+
 	appendPQExpBufferStr(&buf, "ORDER BY 1, 2, 3, 4;");
 
 	res = PSQLexec(buf.data);
diff --git a/src/bin/psql/describe.h b/src/bin/psql/describe.h
index 39856a0c7e..71b320f1fc 100644
--- a/src/bin/psql/describe.h
+++ b/src/bin/psql/describe.h
@@ -19,13 +19,17 @@ extern bool describeAccessMethods(const char *pattern, bool verbose);
 extern bool describeTablespaces(const char *pattern, bool verbose);
 
 /* \df, \dfa, \dfn, \dft, \dfw, etc. */
-extern bool describeFunctions(const char *functypes, const char *pattern, bool verbose, bool showSystem);
+extern bool describeFunctions(const char *functypes, const char *func_pattern,
+							  char **arg_patterns, int num_arg_patterns,
+							  bool verbose, bool showSystem);
 
 /* \dT */
 extern bool describeTypes(const char *pattern, bool verbose, bool showSystem);
 
 /* \do */
-extern bool describeOperators(const char *pattern, bool verbose, bool showSystem);
+extern bool describeOperators(const char *oper_pattern,
+							  char **arg_patterns, int num_arg_patterns,
+							  bool verbose, bool showSystem);
 
 /* \du, \dg */
 extern bool describeRoles(const char *pattern, bool verbose, bool showSystem);
diff --git a/src/bin/psql/help.c b/src/bin/psql/help.c
index ac9a89a889..36501d5e2b 100644
--- a/src/bin/psql/help.c
+++ b/src/bin/psql/help.c
@@ -166,7 +166,7 @@ slashUsage(unsigned short int pager)
 	 * Use "psql --help=commands | wc" to count correctly.  It's okay to count
 	 * the USE_READLINE line even in builds without that.
 	 */
-	output = PageOutput(133, pager ? &(pset.popt.topt) : NULL);
+	output = PageOutput(135, pager ? &(pset.popt.topt) : NULL);
 
 	fprintf(output, _("General\n"));
 	fprintf(output, _("  \\copyright             show PostgreSQL usage and distribution terms\n"));
@@ -240,7 +240,8 @@ slashUsage(unsigned short int pager)
 	fprintf(output, _("  \\des[+] [PATTERN]      list foreign servers\n"));
 	fprintf(output, _("  \\deu[+] [PATTERN]      list user mappings\n"));
 	fprintf(output, _("  \\dew[+] [PATTERN]      list foreign-data wrappers\n"));
-	fprintf(output, _("  \\df[anptw][S+] [PATRN] list [only agg/normal/procedures/trigger/window] functions\n"));
+	fprintf(output, _("  \\df[anptw][S+] [FUNCPTRN [TYPEPTRN ...]]\n"));
+	fprintf(output, _("                         list [only agg/normal/procedure/trigger/window] functions\n"));
 	fprintf(output, _("  \\dF[+]  [PATTERN]      list text search configurations\n"));
 	fprintf(output, _("  \\dFd[+] [PATTERN]      list text search dictionaries\n"));
 	fprintf(output, _("  \\dFp[+] [PATTERN]      list text search parsers\n"));
@@ -251,7 +252,7 @@ slashUsage(unsigned short int pager)
 	fprintf(output, _("  \\dL[S+] [PATTERN]      list procedural languages\n"));
 	fprintf(output, _("  \\dm[S+] [PATTERN]      list materialized views\n"));
 	fprintf(output, _("  \\dn[S+] [PATTERN]      list schemas\n"));
-	fprintf(output, _("  \\do[S]  [PATTERN]      list operators\n"));
+	fprintf(output, _("  \\do[S]  [OPPTRN [TYPEPTRN [TYPEPTRN]]]  list operators\n"));
 	fprintf(output, _("  \\dO[S+] [PATTERN]      list collations\n"));
 	fprintf(output, _("  \\dp     [PATTERN]      list table, view, and sequence access privileges\n"));
 	fprintf(output, _("  \\dP[itn+] [PATTERN]    list [only index/table] partitioned relations [n=nested]\n"));
diff --git a/src/fe_utils/string_utils.c b/src/fe_utils/string_utils.c
index 9a1ea9ab98..5b206c7481 100644
--- a/src/fe_utils/string_utils.c
+++ b/src/fe_utils/string_utils.c
@@ -1062,10 +1062,16 @@ patternToSQLRegex(int encoding, PQExpBuffer dbnamebuf, PQExpBuffer schemabuf,
 			 * regexp errors.  Outside quotes, however, let them pass through
 			 * as-is; this lets knowledgeable users build regexp expressions
 			 * that are more powerful than shell-style patterns.
+			 *
+			 * As an exception to that, though, always quote "[]", as that's
+			 * much more likely to be an attempt to write an array type name
+			 * than it is to be the start of a regexp bracket expression.
 			 */
 			if ((inquotes || force_escape) &&
 				strchr("|*+?()[]{}.^$\\", ch))
 				appendPQExpBufferChar(curbuf, '\\');
+			else if (ch == '[' && cp[1] == ']')
+				appendPQExpBufferChar(curbuf, '\\');
 			i = PQmblen(cp, encoding);
 			while (i-- && *cp)
 			{
diff --git a/src/test/regress/expected/psql.out b/src/test/regress/expected/psql.out
index 9a51940530..672937b2f8 100644
--- a/src/test/regress/expected/psql.out
+++ b/src/test/regress/expected/psql.out
@@ -5078,6 +5078,107 @@ List of access methods
  hash  | uuid_ops        | uuid                 | uuid                  |      2 | uuid_hash_extended
 (5 rows)
 
+-- check \df, \do with argument specifications
+\df *sqrt
+                             List of functions
+   Schema   |     Name     | Result data type | Argument data types | Type 
+------------+--------------+------------------+---------------------+------
+ pg_catalog | dsqrt        | double precision | double precision    | func
+ pg_catalog | numeric_sqrt | numeric          | numeric             | func
+ pg_catalog | sqrt         | double precision | double precision    | func
+ pg_catalog | sqrt         | numeric          | numeric             | func
+(4 rows)
+
+\df *sqrt num*
+                             List of functions
+   Schema   |     Name     | Result data type | Argument data types | Type 
+------------+--------------+------------------+---------------------+------
+ pg_catalog | numeric_sqrt | numeric          | numeric             | func
+ pg_catalog | sqrt         | numeric          | numeric             | func
+(2 rows)
+
+\df int*pl
+                            List of functions
+   Schema   |    Name     | Result data type | Argument data types | Type 
+------------+-------------+------------------+---------------------+------
+ pg_catalog | int24pl     | integer          | smallint, integer   | func
+ pg_catalog | int28pl     | bigint           | smallint, bigint    | func
+ pg_catalog | int2pl      | smallint         | smallint, smallint  | func
+ pg_catalog | int42pl     | integer          | integer, smallint   | func
+ pg_catalog | int48pl     | bigint           | integer, bigint     | func
+ pg_catalog | int4pl      | integer          | integer, integer    | func
+ pg_catalog | int82pl     | bigint           | bigint, smallint    | func
+ pg_catalog | int84pl     | bigint           | bigint, integer     | func
+ pg_catalog | int8pl      | bigint           | bigint, bigint      | func
+ pg_catalog | interval_pl | interval         | interval, interval  | func
+(10 rows)
+
+\df int*pl int4
+                          List of functions
+   Schema   |  Name   | Result data type | Argument data types | Type 
+------------+---------+------------------+---------------------+------
+ pg_catalog | int42pl | integer          | integer, smallint   | func
+ pg_catalog | int48pl | bigint           | integer, bigint     | func
+ pg_catalog | int4pl  | integer          | integer, integer    | func
+(3 rows)
+
+\df int*pl * pg_catalog.int8
+                          List of functions
+   Schema   |  Name   | Result data type | Argument data types | Type 
+------------+---------+------------------+---------------------+------
+ pg_catalog | int28pl | bigint           | smallint, bigint    | func
+ pg_catalog | int48pl | bigint           | integer, bigint     | func
+ pg_catalog | int8pl  | bigint           | bigint, bigint      | func
+(3 rows)
+
+\df acl* aclitem[]
+                                                                    List of functions
+   Schema   |    Name     | Result data type |                                        Argument data types                                         | Type 
+------------+-------------+------------------+----------------------------------------------------------------------------------------------------+------
+ pg_catalog | aclcontains | boolean          | aclitem[], aclitem                                                                                 | func
+ pg_catalog | aclexplode  | SETOF record     | acl aclitem[], OUT grantor oid, OUT grantee oid, OUT privilege_type text, OUT is_grantable boolean | func
+ pg_catalog | aclinsert   | aclitem[]        | aclitem[], aclitem                                                                                 | func
+ pg_catalog | aclremove   | aclitem[]        | aclitem[], aclitem                                                                                 | func
+(4 rows)
+
+\df has_database_privilege oid text
+                                  List of functions
+   Schema   |          Name          | Result data type | Argument data types | Type 
+------------+------------------------+------------------+---------------------+------
+ pg_catalog | has_database_privilege | boolean          | oid, text           | func
+ pg_catalog | has_database_privilege | boolean          | oid, text, text     | func
+(2 rows)
+
+\df has_database_privilege oid text -
+                                  List of functions
+   Schema   |          Name          | Result data type | Argument data types | Type 
+------------+------------------------+------------------+---------------------+------
+ pg_catalog | has_database_privilege | boolean          | oid, text           | func
+(1 row)
+
+\dfa bit* small*
+                          List of functions
+   Schema   |  Name   | Result data type | Argument data types | Type 
+------------+---------+------------------+---------------------+------
+ pg_catalog | bit_and | smallint         | smallint            | agg
+ pg_catalog | bit_or  | smallint         | smallint            | agg
+ pg_catalog | bit_xor | smallint         | smallint            | agg
+(3 rows)
+
+\do - pg_catalog.int4
+                               List of operators
+   Schema   | Name | Left arg type | Right arg type | Result type | Description 
+------------+------+---------------+----------------+-------------+-------------
+ pg_catalog | -    |               | integer        | integer     | negate
+(1 row)
+
+\do && anyarray *
+                               List of operators
+   Schema   | Name | Left arg type | Right arg type | Result type | Description 
+------------+------+---------------+----------------+-------------+-------------
+ pg_catalog | &&   | anyarray      | anyarray       | boolean     | overlaps
+(1 row)
+
 --
 -- combined queries
 --
diff --git a/src/test/regress/sql/psql.sql b/src/test/regress/sql/psql.sql
index bf06bb87b5..f90a0270fc 100644
--- a/src/test/regress/sql/psql.sql
+++ b/src/test/regress/sql/psql.sql
@@ -1229,6 +1229,19 @@ drop role regress_partitioning_role;
 \dAp+ btree float_ops
 \dAp * pg_catalog.uuid_ops
 
+-- check \df, \do with argument specifications
+\df *sqrt
+\df *sqrt num*
+\df int*pl
+\df int*pl int4
+\df int*pl * pg_catalog.int8
+\df acl* aclitem[]
+\df has_database_privilege oid text
+\df has_database_privilege oid text -
+\dfa bit* small*
+\do - pg_catalog.int4
+\do && anyarray *
+
 --
 -- combined queries
 --
diff --git a/src/bin/psql/describe.c b/src/bin/psql/describe.c
index cd829e0759..e65fa07049 100644
--- a/src/bin/psql/describe.c
+++ b/src/bin/psql/describe.c
@@ -28,6 +28,7 @@
 #include "settings.h"
 #include "variables.h"
 
+static const char *map_typename_pattern(const char *pattern);
 static bool describeOneTableDetails(const char *schemaname,
 									const char *relationname,
 									const char *oid,
@@ -663,7 +664,8 @@ describeFunctions(const char *functypes, const char *func_pattern,
 					 "pg_catalog.format_type(t%d.oid, NULL)", i);
 			snprintf(tiv, sizeof(tiv),
 					 "pg_catalog.pg_type_is_visible(t%d.oid)", i);
-			processSQLNamePattern(pset.db, &buf, arg_patterns[i],
+			processSQLNamePattern(pset.db, &buf,
+								  map_typename_pattern(arg_patterns[i]),
 								  true, false,
 								  nspname, typname, ft, tiv);
 		}
@@ -787,20 +789,24 @@ describeTypes(const char *pattern, bool verbose, bool showSystem)
 						 "WHERE c.oid = t.typrelid))\n");
 
 	/*
-	 * do not include array types (before 8.3 we have to use the assumption
-	 * that their names start with underscore)
+	 * do not include array types unless the pattern contains [] (before 8.3
+	 * we have to use the assumption that their names start with underscore)
 	 */
-	if (pset.sversion >= 80300)
-		appendPQExpBufferStr(&buf, "  AND NOT EXISTS(SELECT 1 FROM pg_catalog.pg_type el WHERE el.oid = t.typelem AND el.typarray = t.oid)\n");
-	else
-		appendPQExpBufferStr(&buf, "  AND t.typname !~ '^_'\n");
+	if (strstr(pattern, "[]") == NULL)
+	{
+		if (pset.sversion >= 80300)
+			appendPQExpBufferStr(&buf, "  AND NOT EXISTS(SELECT 1 FROM pg_catalog.pg_type el WHERE el.oid = t.typelem AND el.typarray = t.oid)\n");
+		else
+			appendPQExpBufferStr(&buf, "  AND t.typname !~ '^_'\n");
+	}
 
 	if (!showSystem && !pattern)
 		appendPQExpBufferStr(&buf, "      AND n.nspname <> 'pg_catalog'\n"
 							 "      AND n.nspname <> 'information_schema'\n");
 
 	/* Match name pattern against either internal or external name */
-	processSQLNamePattern(pset.db, &buf, pattern, true, false,
+	processSQLNamePattern(pset.db, &buf, map_typename_pattern(pattern),
+						  true, false,
 						  "n.nspname", "t.typname",
 						  "pg_catalog.format_type(t.oid, NULL)",
 						  "pg_catalog.pg_type_is_visible(t.oid)");
@@ -822,6 +828,60 @@ describeTypes(const char *pattern, bool verbose, bool showSystem)
 	return true;
 }
 
+/*
+ * Map some variant type names accepted by the backend grammar into
+ * canonical type names.
+ *
+ * Helper for \dT and other functions that take typename patterns.
+ * This doesn't completely mask the fact that these names are special;
+ * for example, a pattern of "dec*" won't magically match "numeric".
+ * But it goes a long way to reduce the surprise factor.
+ */
+static const char *
+map_typename_pattern(const char *pattern)
+{
+	static const char *const typename_map[] = {
+		/*
+		 * These names are accepted by gram.y, although they are neither the
+		 * "real" name seen in pg_type nor the canonical name printed by
+		 * format_type().
+		 */
+		"decimal", "numeric",
+		"float", "double precision",
+		"int", "integer",
+
+		/*
+		 * We also have to map the array names for cases where the canonical
+		 * name is different from what pg_type says.
+		 */
+		"bool[]", "boolean[]",
+		"decimal[]", "numeric[]",
+		"float[]", "double precision[]",
+		"float4[]", "real[]",
+		"float8[]", "double precision[]",
+		"int[]", "integer[]",
+		"int2[]", "smallint[]",
+		"int4[]", "integer[]",
+		"int8[]", "bigint[]",
+		"time[]", "time without time zone[]",
+		"timetz[]", "time with time zone[]",
+		"timestamp[]", "timestamp without time zone[]",
+		"timestamptz[]", "timestamp with time zone[]",
+		"varbit[]", "bit varying[]",
+		"varchar[]", "character varying[]",
+		NULL
+	};
+
+	if (pattern == NULL)
+		return NULL;
+	for (int i = 0; typename_map[i] != NULL; i += 2)
+	{
+		if (strcmp(pattern, typename_map[i]) == 0)
+			return typename_map[i + 1];
+	}
+	return pattern;
+}
+
 
 /*
  * \do
@@ -927,7 +987,8 @@ describeOperators(const char *oper_pattern,
 					 "pg_catalog.format_type(t%d.oid, NULL)", i);
 			snprintf(tiv, sizeof(tiv),
 					 "pg_catalog.pg_type_is_visible(t%d.oid)", i);
-			processSQLNamePattern(pset.db, &buf, arg_patterns[i],
+			processSQLNamePattern(pset.db, &buf,
+								  map_typename_pattern(arg_patterns[i]),
 								  true, false,
 								  nspname, typname, ft, tiv);
 		}

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