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drop table if exists t1_30237_bool;
create table t1_30237_bool(A char, B char, C char);
insert into t1_30237_bool values
(FALSE, FALSE, FALSE),
(FALSE, FALSE, NULL),
(FALSE, FALSE, TRUE),
(FALSE, NULL, FALSE),
(FALSE, NULL, NULL),
(FALSE, NULL, TRUE),
(FALSE, TRUE, FALSE),
(FALSE, TRUE, NULL),
(FALSE, TRUE, TRUE),
(NULL, FALSE, FALSE),
(NULL, FALSE, NULL),
(NULL, FALSE, TRUE),
(NULL, NULL, FALSE),
(NULL, NULL, NULL),
(NULL, NULL, TRUE),
(NULL, TRUE, FALSE),
(NULL, TRUE, NULL),
(NULL, TRUE, TRUE),
(TRUE, FALSE, FALSE),
(TRUE, FALSE, NULL),
(TRUE, FALSE, TRUE),
(TRUE, NULL, FALSE),
(TRUE, NULL, NULL),
(TRUE, NULL, TRUE),
(TRUE, TRUE, FALSE),
(TRUE, TRUE, NULL),
(TRUE, TRUE, TRUE) ;
Testing OR, XOR, AND
select A, B, A OR B, A XOR B, A AND B
from t1_30237_bool where C is null order by A, B;
A B A OR B A XOR B A AND B
NULL NULL NULL NULL NULL
NULL 0 NULL NULL 0
NULL 1 1 NULL NULL
0 NULL NULL NULL 0
0 0 0 0 0
0 1 1 1 0
1 NULL 1 NULL NULL
1 0 1 1 0
1 1 1 0 1
Testing that OR is associative
select A, B, C, (A OR B) OR C, A OR (B OR C), A OR B OR C
from t1_30237_bool order by A, B, C;
A B C (A OR B) OR C A OR (B OR C) A OR B OR C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 NULL NULL NULL
NULL NULL 1 1 1 1
NULL 0 NULL NULL NULL NULL
NULL 0 0 NULL NULL NULL
NULL 0 1 1 1 1
NULL 1 NULL 1 1 1
NULL 1 0 1 1 1
NULL 1 1 1 1 1
0 NULL NULL NULL NULL NULL
0 NULL 0 NULL NULL NULL
0 NULL 1 1 1 1
0 0 NULL NULL NULL NULL
0 0 0 0 0 0
0 0 1 1 1 1
0 1 NULL 1 1 1
0 1 0 1 1 1
0 1 1 1 1 1
1 NULL NULL 1 1 1
1 NULL 0 1 1 1
1 NULL 1 1 1 1
1 0 NULL 1 1 1
1 0 0 1 1 1
1 0 1 1 1 1
1 1 NULL 1 1 1
1 1 0 1 1 1
1 1 1 1 1 1
select count(*) from t1_30237_bool
where ((A OR B) OR C) != (A OR (B OR C));
count(*)
0
Testing that XOR is associative
select A, B, C, (A XOR B) XOR C, A XOR (B XOR C), A XOR B XOR C
from t1_30237_bool order by A, B, C;
A B C (A XOR B) XOR C A XOR (B XOR C) A XOR B XOR C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 NULL NULL NULL
NULL NULL 1 NULL NULL NULL
NULL 0 NULL NULL NULL NULL
NULL 0 0 NULL NULL NULL
NULL 0 1 NULL NULL NULL
NULL 1 NULL NULL NULL NULL
NULL 1 0 NULL NULL NULL
NULL 1 1 NULL NULL NULL
0 NULL NULL NULL NULL NULL
0 NULL 0 NULL NULL NULL
0 NULL 1 NULL NULL NULL
0 0 NULL NULL NULL NULL
0 0 0 0 0 0
0 0 1 1 1 1
0 1 NULL NULL NULL NULL
0 1 0 1 1 1
0 1 1 0 0 0
1 NULL NULL NULL NULL NULL
1 NULL 0 NULL NULL NULL
1 NULL 1 NULL NULL NULL
1 0 NULL NULL NULL NULL
1 0 0 1 1 1
1 0 1 0 0 0
1 1 NULL NULL NULL NULL
1 1 0 0 0 0
1 1 1 1 1 1
select count(*) from t1_30237_bool
where ((A XOR B) XOR C) != (A XOR (B XOR C));
count(*)
0
Testing that AND is associative
select A, B, C, (A AND B) AND C, A AND (B AND C), A AND B AND C
from t1_30237_bool order by A, B, C;
A B C (A AND B) AND C A AND (B AND C) A AND B AND C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 0 0 0
NULL NULL 1 NULL NULL NULL
NULL 0 NULL 0 0 0
NULL 0 0 0 0 0
NULL 0 1 0 0 0
NULL 1 NULL NULL NULL NULL
NULL 1 0 0 0 0
NULL 1 1 NULL NULL NULL
0 NULL NULL 0 0 0
0 NULL 0 0 0 0
0 NULL 1 0 0 0
0 0 NULL 0 0 0
0 0 0 0 0 0
0 0 1 0 0 0
0 1 NULL 0 0 0
0 1 0 0 0 0
0 1 1 0 0 0
1 NULL NULL NULL NULL NULL
1 NULL 0 0 0 0
1 NULL 1 NULL NULL NULL
1 0 NULL 0 0 0
1 0 0 0 0 0
1 0 1 0 0 0
1 1 NULL NULL NULL NULL
1 1 0 0 0 0
1 1 1 1 1 1
select count(*) from t1_30237_bool
where ((A AND B) AND C) != (A AND (B AND C));
count(*)
0
Testing that AND has precedence over OR
select A, B, C, (A OR B) AND C, A OR (B AND C), A OR B AND C
from t1_30237_bool order by A, B, C;
A B C (A OR B) AND C A OR (B AND C) A OR B AND C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 0 NULL NULL
NULL NULL 1 NULL NULL NULL
NULL 0 NULL NULL NULL NULL
NULL 0 0 0 NULL NULL
NULL 0 1 NULL NULL NULL
NULL 1 NULL NULL NULL NULL
NULL 1 0 0 NULL NULL
NULL 1 1 1 1 1
0 NULL NULL NULL NULL NULL
0 NULL 0 0 0 0
0 NULL 1 NULL NULL NULL
0 0 NULL 0 0 0
0 0 0 0 0 0
0 0 1 0 0 0
0 1 NULL NULL NULL NULL
0 1 0 0 0 0
0 1 1 1 1 1
1 NULL NULL NULL 1 1
1 NULL 0 0 1 1
1 NULL 1 1 1 1
1 0 NULL NULL 1 1
1 0 0 0 1 1
1 0 1 1 1 1
1 1 NULL NULL 1 1
1 1 0 0 1 1
1 1 1 1 1 1
select count(*) from t1_30237_bool
where (A OR (B AND C)) != (A OR B AND C);
count(*)
0
select A, B, C, (A AND B) OR C, A AND (B OR C), A AND B OR C
from t1_30237_bool order by A, B, C;
A B C (A AND B) OR C A AND (B OR C) A AND B OR C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 NULL NULL NULL
NULL NULL 1 1 NULL 1
NULL 0 NULL NULL NULL NULL
NULL 0 0 0 0 0
NULL 0 1 1 NULL 1
NULL 1 NULL NULL NULL NULL
NULL 1 0 NULL NULL NULL
NULL 1 1 1 NULL 1
0 NULL NULL NULL 0 NULL
0 NULL 0 0 0 0
0 NULL 1 1 0 1
0 0 NULL NULL 0 NULL
0 0 0 0 0 0
0 0 1 1 0 1
0 1 NULL NULL 0 NULL
0 1 0 0 0 0
0 1 1 1 0 1
1 NULL NULL NULL NULL NULL
1 NULL 0 NULL NULL NULL
1 NULL 1 1 1 1
1 0 NULL NULL NULL NULL
1 0 0 0 0 0
1 0 1 1 1 1
1 1 NULL 1 1 1
1 1 0 1 1 1
1 1 1 1 1 1
select count(*) from t1_30237_bool
where ((A AND B) OR C) != (A AND B OR C);
count(*)
0
Testing that AND has precedence over XOR
select A, B, C, (A XOR B) AND C, A XOR (B AND C), A XOR B AND C
from t1_30237_bool order by A, B, C;
A B C (A XOR B) AND C A XOR (B AND C) A XOR B AND C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 0 NULL NULL
NULL NULL 1 NULL NULL NULL
NULL 0 NULL NULL NULL NULL
NULL 0 0 0 NULL NULL
NULL 0 1 NULL NULL NULL
NULL 1 NULL NULL NULL NULL
NULL 1 0 0 NULL NULL
NULL 1 1 NULL NULL NULL
0 NULL NULL NULL NULL NULL
0 NULL 0 0 0 0
0 NULL 1 NULL NULL NULL
0 0 NULL 0 0 0
0 0 0 0 0 0
0 0 1 0 0 0
0 1 NULL NULL NULL NULL
0 1 0 0 0 0
0 1 1 1 1 1
1 NULL NULL NULL NULL NULL
1 NULL 0 0 1 1
1 NULL 1 NULL NULL NULL
1 0 NULL NULL 1 1
1 0 0 0 1 1
1 0 1 1 1 1
1 1 NULL 0 NULL NULL
1 1 0 0 1 1
1 1 1 0 0 0
select count(*) from t1_30237_bool
where (A XOR (B AND C)) != (A XOR B AND C);
count(*)
0
select A, B, C, (A AND B) XOR C, A AND (B XOR C), A AND B XOR C
from t1_30237_bool order by A, B, C;
A B C (A AND B) XOR C A AND (B XOR C) A AND B XOR C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 NULL NULL NULL
NULL NULL 1 NULL NULL NULL
NULL 0 NULL NULL NULL NULL
NULL 0 0 0 0 0
NULL 0 1 1 NULL 1
NULL 1 NULL NULL NULL NULL
NULL 1 0 NULL NULL NULL
NULL 1 1 NULL 0 NULL
0 NULL NULL NULL 0 NULL
0 NULL 0 0 0 0
0 NULL 1 1 0 1
0 0 NULL NULL 0 NULL
0 0 0 0 0 0
0 0 1 1 0 1
0 1 NULL NULL 0 NULL
0 1 0 0 0 0
0 1 1 1 0 1
1 NULL NULL NULL NULL NULL
1 NULL 0 NULL NULL NULL
1 NULL 1 NULL NULL NULL
1 0 NULL NULL NULL NULL
1 0 0 0 0 0
1 0 1 1 1 1
1 1 NULL NULL NULL NULL
1 1 0 1 1 1
1 1 1 0 0 0
select count(*) from t1_30237_bool
where ((A AND B) XOR C) != (A AND B XOR C);
count(*)
0
Testing that XOR has precedence over OR
select A, B, C, (A XOR B) OR C, A XOR (B OR C), A XOR B OR C
from t1_30237_bool order by A, B, C;
A B C (A XOR B) OR C A XOR (B OR C) A XOR B OR C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 NULL NULL NULL
NULL NULL 1 1 NULL 1
NULL 0 NULL NULL NULL NULL
NULL 0 0 NULL NULL NULL
NULL 0 1 1 NULL 1
NULL 1 NULL NULL NULL NULL
NULL 1 0 NULL NULL NULL
NULL 1 1 1 NULL 1
0 NULL NULL NULL NULL NULL
0 NULL 0 NULL NULL NULL
0 NULL 1 1 1 1
0 0 NULL NULL NULL NULL
0 0 0 0 0 0
0 0 1 1 1 1
0 1 NULL 1 1 1
0 1 0 1 1 1
0 1 1 1 1 1
1 NULL NULL NULL NULL NULL
1 NULL 0 NULL NULL NULL
1 NULL 1 1 0 1
1 0 NULL 1 NULL 1
1 0 0 1 1 1
1 0 1 1 0 1
1 1 NULL NULL 0 NULL
1 1 0 0 0 0
1 1 1 1 0 1
select count(*) from t1_30237_bool
where ((A XOR B) OR C) != (A XOR B OR C);
count(*)
0
select A, B, C, (A OR B) XOR C, A OR (B XOR C), A OR B XOR C
from t1_30237_bool order by A, B, C;
A B C (A OR B) XOR C A OR (B XOR C) A OR B XOR C
NULL NULL NULL NULL NULL NULL
NULL NULL 0 NULL NULL NULL
NULL NULL 1 NULL NULL NULL
NULL 0 NULL NULL NULL NULL
NULL 0 0 NULL NULL NULL
NULL 0 1 NULL 1 1
NULL 1 NULL NULL NULL NULL
NULL 1 0 1 1 1
NULL 1 1 0 NULL NULL
0 NULL NULL NULL NULL NULL
0 NULL 0 NULL NULL NULL
0 NULL 1 NULL NULL NULL
0 0 NULL NULL NULL NULL
0 0 0 0 0 0
0 0 1 1 1 1
0 1 NULL NULL NULL NULL
0 1 0 1 1 1
0 1 1 0 0 0
1 NULL NULL NULL 1 1
1 NULL 0 1 1 1
1 NULL 1 0 1 1
1 0 NULL NULL 1 1
1 0 0 1 1 1
1 0 1 0 1 1
1 1 NULL NULL 1 1
1 1 0 1 1 1
1 1 1 0 1 1
select count(*) from t1_30237_bool
where (A OR (B XOR C)) != (A OR B XOR C);
count(*)
0
drop table t1_30237_bool;
Testing that NOT has precedence over OR
select (NOT FALSE) OR TRUE, NOT (FALSE OR TRUE), NOT FALSE OR TRUE;
(NOT FALSE) OR TRUE NOT (FALSE OR TRUE) NOT FALSE OR TRUE
1 0 1
Testing that NOT has precedence over XOR
select (NOT FALSE) XOR FALSE, NOT (FALSE XOR FALSE), NOT FALSE XOR FALSE;
(NOT FALSE) XOR FALSE NOT (FALSE XOR FALSE) NOT FALSE XOR FALSE
1 1 1
Testing that NOT has precedence over AND
select (NOT FALSE) AND FALSE, NOT (FALSE AND FALSE), NOT FALSE AND FALSE;
(NOT FALSE) AND FALSE NOT (FALSE AND FALSE) NOT FALSE AND FALSE
0 1 0
Testing that NOT is associative
select NOT NOT TRUE, NOT NOT NOT FALSE;
NOT NOT TRUE NOT NOT NOT FALSE
1 1
Testing that IS has precedence over NOT
select (NOT NULL) IS TRUE, NOT (NULL IS TRUE), NOT NULL IS TRUE;
(NOT NULL) IS TRUE NOT (NULL IS TRUE) NOT NULL IS TRUE
0 1 1
select (NOT NULL) IS NOT TRUE, NOT (NULL IS NOT TRUE), NOT NULL IS NOT TRUE;
(NOT NULL) IS NOT TRUE NOT (NULL IS NOT TRUE) NOT NULL IS NOT TRUE
1 0 0
select (NOT NULL) IS FALSE, NOT (NULL IS FALSE), NOT NULL IS FALSE;
(NOT NULL) IS FALSE NOT (NULL IS FALSE) NOT NULL IS FALSE
0 1 1
select (NOT NULL) IS NOT FALSE, NOT (NULL IS NOT FALSE), NOT NULL IS NOT FALSE;
(NOT NULL) IS NOT FALSE NOT (NULL IS NOT FALSE) NOT NULL IS NOT FALSE
1 0 0
select (NOT TRUE) IS UNKNOWN, NOT (TRUE IS UNKNOWN), NOT TRUE IS UNKNOWN;
(NOT TRUE) IS UNKNOWN NOT (TRUE IS UNKNOWN) NOT TRUE IS UNKNOWN
0 1 1
select (NOT TRUE) IS NOT UNKNOWN, NOT (TRUE IS NOT UNKNOWN), NOT TRUE IS NOT UNKNOWN;
(NOT TRUE) IS NOT UNKNOWN NOT (TRUE IS NOT UNKNOWN) NOT TRUE IS NOT UNKNOWN
1 0 0
select (NOT TRUE) IS NULL, NOT (TRUE IS NULL), NOT TRUE IS NULL;
(NOT TRUE) IS NULL NOT (TRUE IS NULL) NOT TRUE IS NULL
0 1 1
select (NOT TRUE) IS NOT NULL, NOT (TRUE IS NOT NULL), NOT TRUE IS NOT NULL;
(NOT TRUE) IS NOT NULL NOT (TRUE IS NOT NULL) NOT TRUE IS NOT NULL
1 0 0
Testing that IS [NOT] TRUE/FALSE/UNKNOWN predicates are not associative
select TRUE IS TRUE IS TRUE IS TRUE;
ERROR 42000: You have an error in your SQL syntax; check the manual that corresponds to your Drizzle server version for the right syntax to use near 'IS TRUE IS TRUE' at line 1
select FALSE IS NOT TRUE IS NOT TRUE IS NOT TRUE;
ERROR 42000: You have an error in your SQL syntax; check the manual that corresponds to your Drizzle server version for the right syntax to use near 'IS NOT TRUE IS NOT TRUE' at line 1
select NULL IS FALSE IS FALSE IS FALSE;
ERROR 42000: You have an error in your SQL syntax; check the manual that corresponds to your Drizzle server version for the right syntax to use near 'IS FALSE IS FALSE' at line 1
select TRUE IS NOT FALSE IS NOT FALSE IS NOT FALSE;
ERROR 42000: You have an error in your SQL syntax; check the manual that corresponds to your Drizzle server version for the right syntax to use near 'IS NOT FALSE IS NOT FALSE' at line 1
select FALSE IS UNKNOWN IS UNKNOWN IS UNKNOWN;
ERROR 42000: You have an error in your SQL syntax; check the manual that corresponds to your Drizzle server version for the right syntax to use near 'IS UNKNOWN IS UNKNOWN' at line 1
select TRUE IS NOT UNKNOWN IS NOT UNKNOWN IS NOT UNKNOWN;
ERROR 42000: You have an error in your SQL syntax; check the manual that corresponds to your Drizzle server version for the right syntax to use near 'IS NOT UNKNOWN IS NOT UNKNOWN' at line 1
Testing that IS [NOT] NULL predicates are associative
select FALSE IS NULL IS NULL IS NULL;
FALSE IS NULL IS NULL IS NULL
0
select TRUE IS NOT NULL IS NOT NULL IS NOT NULL;
TRUE IS NOT NULL IS NOT NULL IS NOT NULL
1
Testing that comparison operators are left associative
select 1 <=> 2 <=> 2, (1 <=> 2) <=> 2, 1 <=> (2 <=> 2);
1 <=> 2 <=> 2 (1 <=> 2) <=> 2 1 <=> (2 <=> 2)
0 0 1
select 1 = 2 = 2, (1 = 2) = 2, 1 = (2 = 2);
1 = 2 = 2 (1 = 2) = 2 1 = (2 = 2)
0 0 1
select 1 != 2 != 3, (1 != 2) != 3, 1 != (2 != 3);
1 != 2 != 3 (1 != 2) != 3 1 != (2 != 3)
1 1 0
select 1 <> 2 <> 3, (1 <> 2) <> 3, 1 <> (2 <> 3);
1 <> 2 <> 3 (1 <> 2) <> 3 1 <> (2 <> 3)
1 1 0
select 1 < 2 < 3, (1 < 2) < 3, 1 < (2 < 3);
1 < 2 < 3 (1 < 2) < 3 1 < (2 < 3)
1 1 0
select 3 <= 2 <= 1, (3 <= 2) <= 1, 3 <= (2 <= 1);
3 <= 2 <= 1 (3 <= 2) <= 1 3 <= (2 <= 1)
1 1 0
select 1 > 2 > 3, (1 > 2) > 3, 1 > (2 > 3);
1 > 2 > 3 (1 > 2) > 3 1 > (2 > 3)
0 0 1
select 1 >= 2 >= 3, (1 >= 2) >= 3, 1 >= (2 >= 3);
1 >= 2 >= 3 (1 >= 2) >= 3 1 >= (2 >= 3)
0 0 1
Testing that binary + is associative
select 1 + 2 + 3, (1 + 2) + 3, 1 + (2 + 3);
1 + 2 + 3 (1 + 2) + 3 1 + (2 + 3)
6 6 6
Testing that binary - is left associative
select 1 - 2 - 3, (1 - 2) - 3, 1 - (2 - 3);
1 - 2 - 3 (1 - 2) - 3 1 - (2 - 3)
-4 -4 2
Testing that binary + and binary - have the same precedence
select 1 + 2 - 3, (1 + 2) - 3, 1 + (2 - 3);
1 + 2 - 3 (1 + 2) - 3 1 + (2 - 3)
0 0 0
select 1 - 2 + 3, (1 - 2) + 3, 1 - (2 + 3);
1 - 2 + 3 (1 - 2) + 3 1 - (2 + 3)
2 2 -4
Testing that * is associative
select 2 * 3 * 4, (2 * 3) * 4, 2 * (3 * 4);
2 * 3 * 4 (2 * 3) * 4 2 * (3 * 4)
24 24 24
Testing that * has precedence over binary +
select 2 * 3 + 4, (2 * 3) + 4, 2 * (3 + 4);
2 * 3 + 4 (2 * 3) + 4 2 * (3 + 4)
10 10 14
select 2 + 3 * 4, (2 + 3) * 4, 2 + (3 * 4);
2 + 3 * 4 (2 + 3) * 4 2 + (3 * 4)
14 20 14
Testing that * has precedence over binary -
select 4 * 3 - 2, (4 * 3) - 2, 4 * (3 - 2);
4 * 3 - 2 (4 * 3) - 2 4 * (3 - 2)
10 10 4
select 4 - 3 * 2, (4 - 3) * 2, 4 - (3 * 2);
4 - 3 * 2 (4 - 3) * 2 4 - (3 * 2)
-2 2 -2
Testing that / is left associative
select 15 / 5 / 3, (15 / 5) / 3, 15 / (5 / 3);
15 / 5 / 3 (15 / 5) / 3 15 / (5 / 3)
1.00000000 1.00000000 9.0000
Testing that / has precedence over binary +
select 0x80 / 2 + 2, (0x80 / 2) + 2, 0x80 / (2 + 2);
0x80 / 2 + 2 (0x80 / 2) + 2 0x80 / (2 + 2)
66.0000 66.0000 32.0000
select 0x80 + 2 / 2, (0x80 + 2) / 2, 0x80 + (2 / 2);
0x80 + 2 / 2 (0x80 + 2) / 2 0x80 + (2 / 2)
129.0000 65.0000 129.0000
Testing that / has precedence over binary -
select 0x80 / 4 - 2, (0x80 / 4) - 2, 0x80 / (4 - 2);
0x80 / 4 - 2 (0x80 / 4) - 2 0x80 / (4 - 2)
30.0000 30.0000 64.0000
select 0x80 - 4 / 2, (0x80 - 4) / 2, 0x80 - (4 / 2);
0x80 - 4 / 2 (0x80 - 4) / 2 0x80 - (4 / 2)
126.0000 62.0000 126.0000
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