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set enable_seqscan=off;
CREATE TABLE test_date (
	i date
);
INSERT INTO test_date VALUES
	( '2004-10-23' ),
	( '2004-10-24' ),
	( '2004-10-25' ),
	( '2004-10-26' ),
	( '2004-10-27' ),
	( '2004-10-28' )
;
CREATE INDEX idx_date ON test_date USING gin (i);
SELECT * FROM test_date WHERE i<'2004-10-26'::date ORDER BY i;
     i      
------------
 10-23-2004
 10-24-2004
 10-25-2004
(3 rows)

SELECT * FROM test_date WHERE i<='2004-10-26'::date ORDER BY i;
     i      
------------
 10-23-2004
 10-24-2004
 10-25-2004
 10-26-2004
(4 rows)

SELECT * FROM test_date WHERE i='2004-10-26'::date ORDER BY i;
     i      
------------
 10-26-2004
(1 row)

SELECT * FROM test_date WHERE i>='2004-10-26'::date ORDER BY i;
     i      
------------
 10-26-2004
 10-27-2004
 10-28-2004
(3 rows)

SELECT * FROM test_date WHERE i>'2004-10-26'::date ORDER BY i;
     i      
------------
 10-27-2004
 10-28-2004
(2 rows)