set enable_seqscan=off;
CREATE TABLE test_text (
	i text
);
INSERT INTO test_text VALUES ('a'),('ab'),('abc'),('abb'),('axy'),('xyz');
CREATE INDEX idx_text ON test_text USING rum (i);
SELECT * FROM test_text WHERE i<'abc' ORDER BY i;
  i  
-----
 a
 ab
 abb
(3 rows)

SELECT * FROM test_text WHERE i<='abc' ORDER BY i;
  i  
-----
 a
 ab
 abb
 abc
(4 rows)

SELECT * FROM test_text WHERE i='abc' ORDER BY i;
  i  
-----
 abc
(1 row)

SELECT * FROM test_text WHERE i>='abc' ORDER BY i;
  i  
-----
 abc
 axy
 xyz
(3 rows)

SELECT * FROM test_text WHERE i>'abc' ORDER BY i;
  i  
-----
 axy
 xyz
(2 rows)

CREATE TABLE test_text_o AS SELECT id::text, t FROM tsts;
SELECT id FROM test_text_o WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
 id  
-----
 135
 16
 168
 232
 252
 354
 355
 371
 39
(9 rows)

SELECT id FROM test_text_o WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
 id  
-----
 406
 415
 428
 457
 458
 484
 496
 71
(8 rows)

CREATE INDEX test_text_o_idx ON test_text_o USING rum
    (t rum_tsvector_addon_ops, id)
    WITH (attach = 'id', to = 't');
RESET enable_indexscan;
RESET enable_indexonlyscan;
SET enable_bitmapscan=OFF;
SET enable_seqscan = off;
EXPLAIN (costs off)
SELECT id FROM test_text_o WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_o_idx on test_text_o
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id <= '400'::text))
(4 rows)

SELECT id FROM test_text_o WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
 id  
-----
 135
 16
 168
 232
 252
 354
 355
 371
 39
(9 rows)

EXPLAIN (costs off)
SELECT id FROM test_text_o WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_o_idx on test_text_o
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id >= '400'::text))
(4 rows)

SELECT id FROM test_text_o WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
 id  
-----
 406
 415
 428
 457
 458
 484
 496
 71
(8 rows)

CREATE TABLE test_text_a AS SELECT id::text, t FROM tsts;
CREATE INDEX test_text_a_idx ON test_text_a USING rum
	(t rum_tsvector_addon_ops, id)
	WITH (attach = 'id', to = 't', order_by_attach='t');
EXPLAIN (costs off)
SELECT count(*) FROM test_text_a WHERE id < '400';
                      QUERY PLAN                       
-------------------------------------------------------
 Aggregate
   ->  Index Scan using test_text_a_idx on test_text_a
         Index Cond: (id < '400'::text)
(3 rows)

SELECT count(*) FROM test_text_a WHERE id < '400';
 count 
-------
   337
(1 row)

EXPLAIN (costs off)
SELECT id FROM test_text_a WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_a_idx on test_text_a
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id <= '400'::text))
(4 rows)

SELECT id FROM test_text_a WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
 id  
-----
 135
 16
 168
 232
 252
 354
 355
 371
 39
(9 rows)

EXPLAIN (costs off)
SELECT id FROM test_text_a WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_a_idx on test_text_a
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id >= '400'::text))
(4 rows)

SELECT id FROM test_text_a WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
 id  
-----
 406
 415
 428
 457
 458
 484
 496
 71
(8 rows)

CREATE TABLE test_text_h_o AS SELECT id::text, t FROM tsts;
CREATE INDEX test_text_h_o_idx ON test_text_h_o USING rum
	(t rum_tsvector_hash_addon_ops, id)
	WITH (attach = 'id', to = 't');
EXPLAIN (costs off)
SELECT id FROM test_text_h_o WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_h_o_idx on test_text_h_o
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id <= '400'::text))
(4 rows)

SELECT id FROM test_text_h_o WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
 id  
-----
 135
 16
 168
 232
 252
 354
 355
 371
 39
(9 rows)

EXPLAIN (costs off)
SELECT id FROM test_text_h_o WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_h_o_idx on test_text_h_o
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id >= '400'::text))
(4 rows)

SELECT id FROM test_text_h_o WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
 id  
-----
 406
 415
 428
 457
 458
 484
 496
 71
(8 rows)

CREATE TABLE test_text_h_a AS SELECT id::text, t FROM tsts;
CREATE INDEX test_text_h_a_idx ON test_text_h_a USING rum
	(t rum_tsvector_hash_addon_ops, id)
	WITH (attach = 'id', to = 't', order_by_attach='t');
EXPLAIN (costs off)
SELECT count(*) FROM test_text_h_a WHERE id < '400';
                        QUERY PLAN                         
-----------------------------------------------------------
 Aggregate
   ->  Index Scan using test_text_h_a_idx on test_text_h_a
         Index Cond: (id < '400'::text)
(3 rows)

SELECT count(*) FROM test_text_h_a WHERE id < '400';
 count 
-------
   337
(1 row)

EXPLAIN (costs off)
SELECT id FROM test_text_h_a WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_h_a_idx on test_text_h_a
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id <= '400'::text))
(4 rows)

SELECT id FROM test_text_h_a WHERE  t @@ 'wr&qh' AND id <= '400' ORDER BY id;
 id  
-----
 135
 16
 168
 232
 252
 354
 355
 371
 39
(9 rows)

EXPLAIN (costs off)
SELECT id FROM test_text_h_a WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
                                   QUERY PLAN                                    
---------------------------------------------------------------------------------
 Sort
   Sort Key: id
   ->  Index Scan using test_text_h_a_idx on test_text_h_a
         Index Cond: ((t @@ '''wr'' & ''qh'''::tsquery) AND (id >= '400'::text))
(4 rows)

SELECT id FROM test_text_h_a WHERE  t @@ 'wr&qh' AND id >= '400' ORDER BY id;
 id  
-----
 406
 415
 428
 457
 458
 484
 496
 71
(8 rows)