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/usr/lib/mysql-testsuite/t/negation_elimination.test is in percona-server-test-5.6 5.6.22-rel71.0-0ubuntu4.

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#
# Test negation elimination
#

--disable_warnings
drop table if exists t1;
--enable_warnings

create table t1 (a int, key (a));
insert into t1 values (NULL), (0), (1), (2), (3), (4), (5), (6), (7), (8), (9),
(10), (11), (12), (13), (14), (15), (16), (17), (18), (19);

explain select * from t1 where not(not(a));
select * from t1 where not(not(a));
explain select * from t1 where not(not(not(a > 10)));
select * from t1 where not(not(not(a > 10)));
explain select * from t1 where not(not(not(a < 5) and not(a > 10)));
select * from t1 where not(not(not(a < 5) and not(a > 10)));
explain select * from t1 where not(a = 10);
select * from t1 where not(a = 10);
explain select * from t1 where not(a != 10);
select * from t1 where not(a != 1);
explain select * from t1 where not(a < 10);
select * from t1 where not(a < 10);
explain select * from t1 where not(a >= 10);
select * from t1 where not(a >= 10);
explain select * from t1 where not(a > 10);
select * from t1 where not(a > 10);
explain select * from t1 where not(a <= 10);
select * from t1 where not(a <= 10);
explain select * from t1 where not(a is null);
select * from t1 where not(a is null);
explain select * from t1 where not(a is not null);
select * from t1 where not(a is not null);
explain select * from t1 where not(a < 5 or a > 15);
select * from t1 where not(a < 5 or a > 15);
explain select * from t1 where not(a < 15 and a > 5);
select * from t1 where not(a < 15 and a > 5);

explain select * from t1 where a = 2 or not(a < 10);
select * from t1 where a = 2 or not(a < 10);
explain select * from t1 where a > 5 and not(a > 10);
select * from t1 where a > 5 and not(a > 10);
explain select * from t1 where a > 5 xor a < 10;
select * from t1 where a > 5 xor a < 10;

explain select * from t1 where a = 2 or not(a < 5 or a > 15);
select * from t1 where a = 2 or not(a < 5 or a > 15);
explain select * from t1 where a = 7 or not(a < 15 and a > 5);
select * from t1 where a = 7 or not(a < 15 and a > 5);

explain select * from t1 where NULL or not(a < 15 and a > 5);
select * from t1 where NULL or not(a < 15 and a > 5);
explain select * from t1 where not(NULL and a > 5);
select * from t1 where not(NULL and a > 5);
explain select * from t1 where not(NULL or a);
select * from t1 where not(NULL or a);
explain select * from t1 where not(NULL and a);
select * from t1 where not(NULL and a);

explain select * from t1 where not((a < 5 or a < 10) and (not(a > 16) or a > 17));
select * from t1 where not((a < 5 or a < 10) and (not(a > 16) or a > 17));
explain select * from t1 where not((a < 5 and a < 10) and (not(a > 16) or a > 17));
select * from t1 where not((a < 5 and a < 10) and (not(a > 16) or a > 17));
explain select * from t1 where ((a between 5 and 15) and (not(a like 10)));
select * from t1 where ((a between 5 and 15) and (not(a like 10)));

--echo # XOR (Note: XOR is negated by negating one of the operands)

--echo # Should return 6,7
SELECT * FROM t1 WHERE ((a > 5) XOR (a > 7));

--echo # Should return 0..5,8..19
SELECT * FROM t1 WHERE ((NOT (a > 5)) XOR (a > 7));
SELECT * FROM t1 WHERE ((a > 5) XOR (NOT (a > 7)));
SELECT * FROM t1 WHERE NOT ((a > 5) XOR (a > 7));

--echo # Should return 6,7
SELECT * FROM t1 WHERE NOT ((NOT (a > 5)) XOR (a > 7));
SELECT * FROM t1 WHERE NOT ((a > 5) XOR (NOT (a > 7)));

--echo # Should return 0..5,8..19
SELECT * FROM t1 WHERE NOT ((NOT (a > 5)) XOR (NOT (a > 7)));

--echo # Should have empty result
SELECT * FROM t1 WHERE (NULL XOR (a > 7));
SELECT * FROM t1 WHERE NOT (NULL XOR (a > 7));

--echo # Should be simplified to "...WHERE (a XOR a)
EXPLAIN EXTENDED SELECT * FROM t1 WHERE NOT ((NOT a) XOR (a));

--echo # Should be simplified to "...WHERE (a XOR a)
EXPLAIN EXTENDED SELECT * FROM t1 WHERE NOT (a XOR (NOT a));

--echo # End XOR

delete from t1 where a > 3;
select a, not(not(a)) from t1;
explain extended select a, not(not(a)), not(a <= 2 and not(a)), not(a not like "1"), not (a not in (1,2)), not(a != 2) from t1 where not(not(a)) having not(not(a));

drop table t1;

# End of 4.1 tests