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+
+--disable_warnings
+drop table if exists t1_30237_bool;
+--enable_warnings
+
+set sql_mode=NO_UNSIGNED_SUBTRACTION;
+
+create table t1_30237_bool(A boolean, B boolean, C boolean);
+
+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) ;
+
+--echo 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;
+
+--echo 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;
+
+select count(*) from t1_30237_bool
+ where ((A OR B) OR C) != (A OR (B OR C));
+
+--echo 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;
+
+select count(*) from t1_30237_bool
+ where ((A XOR B) XOR C) != (A XOR (B XOR C));
+
+--echo 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;
+
+select count(*) from t1_30237_bool
+ where ((A AND B) AND C) != (A AND (B AND C));
+
+--echo 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;
+select count(*) from t1_30237_bool
+ where (A OR (B AND C)) != (A OR B AND C);
+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;
+select count(*) from t1_30237_bool
+ where ((A AND B) OR C) != (A AND B OR C);
+
+--echo 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;
+select count(*) from t1_30237_bool
+ where (A XOR (B AND C)) != (A XOR B AND C);
+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;
+select count(*) from t1_30237_bool
+ where ((A AND B) XOR C) != (A AND B XOR C);
+
+--echo 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;
+select count(*) from t1_30237_bool
+ where ((A XOR B) OR C) != (A XOR B OR C);
+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;
+select count(*) from t1_30237_bool
+ where (A OR (B XOR C)) != (A OR B XOR C);
+
+drop table t1_30237_bool;
+
+--echo Testing that NOT has precedence over OR
+select (NOT FALSE) OR TRUE, NOT (FALSE OR TRUE), NOT FALSE OR TRUE;
+
+--echo Testing that NOT has precedence over XOR
+select (NOT FALSE) XOR FALSE, NOT (FALSE XOR FALSE), NOT FALSE XOR FALSE;
+
+--echo Testing that NOT has precedence over AND
+select (NOT FALSE) AND FALSE, NOT (FALSE AND FALSE), NOT FALSE AND FALSE;
+
+--echo Testing that NOT is associative
+select NOT NOT TRUE, NOT NOT NOT FALSE;
+
+--echo Testing that IS has precedence over NOT
+select (NOT NULL) IS TRUE, NOT (NULL IS TRUE), NOT NULL IS TRUE;
+select (NOT NULL) IS NOT TRUE, NOT (NULL IS NOT TRUE), NOT NULL IS NOT TRUE;
+select (NOT NULL) IS FALSE, NOT (NULL IS FALSE), NOT NULL IS FALSE;
+select (NOT NULL) IS NOT FALSE, NOT (NULL IS NOT FALSE), NOT NULL IS NOT FALSE;
+select (NOT TRUE) IS UNKNOWN, NOT (TRUE IS UNKNOWN), NOT TRUE IS UNKNOWN;
+select (NOT TRUE) IS NOT UNKNOWN, NOT (TRUE IS NOT UNKNOWN), NOT TRUE IS NOT UNKNOWN;
+select (NOT TRUE) IS NULL, NOT (TRUE IS NULL), NOT TRUE IS NULL;
+select (NOT TRUE) IS NOT NULL, NOT (TRUE IS NOT NULL), NOT TRUE IS NOT NULL;
+
+--echo Testing that IS [NOT] TRUE/FALSE/UNKNOWN predicates are not associative
+# Documenting existing behavior in 5.0.48
+-- error ER_PARSE_ERROR
+select TRUE IS TRUE IS TRUE IS TRUE;
+-- error ER_PARSE_ERROR
+select FALSE IS NOT TRUE IS NOT TRUE IS NOT TRUE;
+-- error ER_PARSE_ERROR
+select NULL IS FALSE IS FALSE IS FALSE;
+-- error ER_PARSE_ERROR
+select TRUE IS NOT FALSE IS NOT FALSE IS NOT FALSE;
+-- error ER_PARSE_ERROR
+select FALSE IS UNKNOWN IS UNKNOWN IS UNKNOWN;
+-- error ER_PARSE_ERROR
+select TRUE IS NOT UNKNOWN IS NOT UNKNOWN IS NOT UNKNOWN;
+
+--echo Testing that IS [NOT] NULL predicates are associative
+# Documenting existing behavior in 5.0.48
+select FALSE IS NULL IS NULL IS NULL;
+select TRUE IS NOT NULL IS NOT NULL IS NOT NULL;
+
+--echo Testing that comparison operators are left associative
+select 1 <=> 2 <=> 2, (1 <=> 2) <=> 2, 1 <=> (2 <=> 2);
+select 1 = 2 = 2, (1 = 2) = 2, 1 = (2 = 2);
+select 1 != 2 != 3, (1 != 2) != 3, 1 != (2 != 3);
+select 1 <> 2 <> 3, (1 <> 2) <> 3, 1 <> (2 <> 3);
+select 1 < 2 < 3, (1 < 2) < 3, 1 < (2 < 3);
+select 3 <= 2 <= 1, (3 <= 2) <= 1, 3 <= (2 <= 1);
+select 1 > 2 > 3, (1 > 2) > 3, 1 > (2 > 3);
+select 1 >= 2 >= 3, (1 >= 2) >= 3, 1 >= (2 >= 3);
+
+-- echo Testing that | is associative
+select 0xF0 | 0x0F | 0x55, (0xF0 | 0x0F) | 0x55, 0xF0 | (0x0F | 0x55);
+
+-- echo Testing that & is associative
+select 0xF5 & 0x5F & 0x55, (0xF5 & 0x5F) & 0x55, 0xF5 & (0x5F & 0x55);
+
+-- echo Testing that << is left associative
+select 4 << 3 << 2, (4 << 3) << 2, 4 << (3 << 2);
+
+-- echo Testing that >> is left associative
+select 256 >> 3 >> 2, (256 >> 3) >> 2, 256 >> (3 >> 2);
+
+--echo Testing that & has precedence over |
+select 0xF0 & 0x0F | 0x55, (0xF0 & 0x0F) | 0x55, 0xF0 & (0x0F | 0x55);
+select 0x55 | 0xF0 & 0x0F, (0x55 | 0xF0) & 0x0F, 0x55 | (0xF0 & 0x0F);
+
+--echo Testing that << has precedence over |
+select 0x0F << 4 | 0x0F, (0x0F << 4) | 0x0F, 0x0F << (4 | 0x0F);
+select 0x0F | 0x0F << 4, (0x0F | 0x0F) << 4, 0x0F | (0x0F << 4);
+
+--echo Testing that >> has precedence over |
+select 0xF0 >> 4 | 0xFF, (0xF0 >> 4) | 0xFF, 0xF0 >> (4 | 0xFF);
+select 0xFF | 0xF0 >> 4, (0xFF | 0xF0) >> 4, 0xFF | (0xF0 >> 4);
+
+--echo Testing that << has precedence over &
+select 0x0F << 4 & 0xF0, (0x0F << 4) & 0xF0, 0x0F << (4 & 0xF0);
+select 0xF0 & 0x0F << 4, (0xF0 & 0x0F) << 4, 0xF0 & (0x0F << 4);
+
+--echo Testing that >> has precedence over &
+select 0xF0 >> 4 & 0x55, (0xF0 >> 4) & 0x55, 0xF0 >> (4 & 0x55);
+select 0x0F & 0xF0 >> 4, (0x0F & 0xF0) >> 4, 0x0F & (0xF0 >> 4);
+
+--echo Testing that >> and << have the same precedence
+select 0xFF >> 4 << 2, (0xFF >> 4) << 2, 0xFF >> (4 << 2);
+select 0x0F << 4 >> 2, (0x0F << 4) >> 2, 0x0F << (4 >> 2);
+
+--echo Testing that binary + is associative
+select 1 + 2 + 3, (1 + 2) + 3, 1 + (2 + 3);
+
+--echo Testing that binary - is left associative
+select 1 - 2 - 3, (1 - 2) - 3, 1 - (2 - 3);
+
+--echo Testing that binary + and binary - have the same precedence
+# evaluated left to right
+select 1 + 2 - 3, (1 + 2) - 3, 1 + (2 - 3);
+select 1 - 2 + 3, (1 - 2) + 3, 1 - (2 + 3);
+
+--echo Testing that binary + has precedence over |
+select 0xF0 + 0x0F | 0x55, (0xF0 + 0x0F) | 0x55, 0xF0 + (0x0F | 0x55);
+select 0x55 | 0xF0 + 0x0F, (0x55 | 0xF0) + 0x0F, 0x55 | (0xF0 + 0x0F);
+
+--echo Testing that binary + has precedence over &
+select 0xF0 + 0x0F & 0x55, (0xF0 + 0x0F) & 0x55, 0xF0 + (0x0F & 0x55);
+select 0x55 & 0xF0 + 0x0F, (0x55 & 0xF0) + 0x0F, 0x55 & (0xF0 + 0x0F);
+
+--echo Testing that binary + has precedence over <<
+select 2 + 3 << 4, (2 + 3) << 4, 2 + (3 << 4);
+select 3 << 4 + 2, (3 << 4) + 2, 3 << (4 + 2);
+
+--echo Testing that binary + has precedence over >>
+select 4 + 3 >> 2, (4 + 3) >> 2, 4 + (3 >> 2);
+select 3 >> 2 + 1, (3 >> 2) + 1, 3 >> (2 + 1);
+
+--echo Testing that binary - has precedence over |
+select 0xFF - 0x0F | 0x55, (0xFF - 0x0F) | 0x55, 0xFF - (0x0F | 0x55);
+select 0x55 | 0xFF - 0xF0, (0x55 | 0xFF) - 0xF0, 0x55 | (0xFF - 0xF0);
+
+--echo Testing that binary - has precedence over &
+select 0xFF - 0xF0 & 0x55, (0xFF - 0xF0) & 0x55, 0xFF - (0xF0 & 0x55);
+select 0x55 & 0xFF - 0xF0, (0x55 & 0xFF) - 0xF0, 0x55 & (0xFF - 0xF0);
+
+--echo Testing that binary - has precedence over <<
+select 16 - 3 << 2, (16 - 3) << 2, 16 - (3 << 2);
+select 4 << 3 - 2, (4 << 3) - 2, 4 << (3 - 2);
+
+--echo Testing that binary - has precedence over >>
+select 16 - 3 >> 2, (16 - 3) >> 2, 16 - (3 >> 2);
+select 16 >> 3 - 2, (16 >> 3) - 2, 16 >> (3 - 2);
+
+--echo Testing that * is associative
+select 2 * 3 * 4, (2 * 3) * 4, 2 * (3 * 4);
+
+--echo Testing that * has precedence over |
+select 2 * 0x40 | 0x0F, (2 * 0x40) | 0x0F, 2 * (0x40 | 0x0F);
+select 0x0F | 2 * 0x40, (0x0F | 2) * 0x40, 0x0F | (2 * 0x40);
+
+--echo Testing that * has precedence over &
+select 2 * 0x40 & 0x55, (2 * 0x40) & 0x55, 2 * (0x40 & 0x55);
+select 0xF0 & 2 * 0x40, (0xF0 & 2) * 0x40, 0xF0 & (2 * 0x40);
+
+--echo Testing that * has precedence over <<
+# Actually, can't prove it for the first case,
+# since << is a multiplication by a power of 2,
+# and * is associative
+select 5 * 3 << 4, (5 * 3) << 4, 5 * (3 << 4);
+select 2 << 3 * 4, (2 << 3) * 4, 2 << (3 * 4);
+
+--echo Testing that * has precedence over >>
+# >> is a multiplication by a (negative) power of 2,
+# see above.
+select 3 * 4 >> 2, (3 * 4) >> 2, 3 * (4 >> 2);
+select 4 >> 2 * 3, (4 >> 2) * 3, 4 >> (2 * 3);
+
+--echo Testing that * has precedence over binary +
+select 2 * 3 + 4, (2 * 3) + 4, 2 * (3 + 4);
+select 2 + 3 * 4, (2 + 3) * 4, 2 + (3 * 4);
+
+--echo Testing that * has precedence over binary -
+select 4 * 3 - 2, (4 * 3) - 2, 4 * (3 - 2);
+select 4 - 3 * 2, (4 - 3) * 2, 4 - (3 * 2);
+
+--echo Testing that / is left associative
+select 15 / 5 / 3, (15 / 5) / 3, 15 / (5 / 3);
+
+--echo Testing that / has precedence over |
+select 105 / 5 | 2, (105 / 5) | 2, 105 / (5 | 2);
+select 105 | 2 / 5, (105 | 2) / 5, 105 | (2 / 5);
+
+--echo Testing that / has precedence over &
+select 105 / 5 & 0x0F, (105 / 5) & 0x0F, 105 / (5 & 0x0F);
+select 0x0F & 105 / 5, (0x0F & 105) / 5, 0x0F & (105 / 5);
+
+--echo Testing that / has precedence over <<
+select 0x80 / 4 << 2, (0x80 / 4) << 2, 0x80 / (4 << 2);
+select 0x80 << 4 / 2, (0x80 << 4) / 2, 0x80 << (4 / 2);
+
+--echo Testing that / has precedence over >>
+select 0x80 / 4 >> 2, (0x80 / 4) >> 2, 0x80 / (4 >> 2);
+select 0x80 >> 4 / 2, (0x80 >> 4) / 2, 0x80 >> (4 / 2);
+
+--echo Testing that / has precedence over binary +
+select 0x80 / 2 + 2, (0x80 / 2) + 2, 0x80 / (2 + 2);
+select 0x80 + 2 / 2, (0x80 + 2) / 2, 0x80 + (2 / 2);
+
+--echo Testing that / has precedence over binary -
+select 0x80 / 4 - 2, (0x80 / 4) - 2, 0x80 / (4 - 2);
+select 0x80 - 4 / 2, (0x80 - 4) / 2, 0x80 - (4 / 2);
+
+# TODO: %, DIV, MOD
+
+--echo Testing that ^ is associative
+select 0xFF ^ 0xF0 ^ 0x0F, (0xFF ^ 0xF0) ^ 0x0F, 0xFF ^ (0xF0 ^ 0x0F);
+select 0xFF ^ 0xF0 ^ 0x55, (0xFF ^ 0xF0) ^ 0x55, 0xFF ^ (0xF0 ^ 0x55);
+
+--echo Testing that ^ has precedence over |
+select 0xFF ^ 0xF0 | 0x0F, (0xFF ^ 0xF0) | 0x0F, 0xFF ^ (0xF0 | 0x0F);
+select 0xF0 | 0xFF ^ 0xF0, (0xF0 | 0xFF) ^ 0xF0, 0xF0 | (0xFF ^ 0xF0);
+
+--echo Testing that ^ has precedence over &
+select 0xFF ^ 0xF0 & 0x0F, (0xFF ^ 0xF0) & 0x0F, 0xFF ^ (0xF0 & 0x0F);
+select 0x0F & 0xFF ^ 0xF0, (0x0F & 0xFF) ^ 0xF0, 0x0F & (0xFF ^ 0xF0);
+
+--echo Testing that ^ has precedence over <<
+select 0xFF ^ 0xF0 << 2, (0xFF ^ 0xF0) << 2, 0xFF ^ (0xF0 << 2);
+select 0x0F << 2 ^ 0xFF, (0x0F << 2) ^ 0xFF, 0x0F << (2 ^ 0xFF);
+
+--echo Testing that ^ has precedence over >>
+select 0xFF ^ 0xF0 >> 2, (0xFF ^ 0xF0) >> 2, 0xFF ^ (0xF0 >> 2);
+select 0xFF >> 2 ^ 0xF0, (0xFF >> 2) ^ 0xF0, 0xFF >> (2 ^ 0xF0);
+
+--echo Testing that ^ has precedence over binary +
+select 0xFF ^ 0xF0 + 0x0F, (0xFF ^ 0xF0) + 0x0F, 0xFF ^ (0xF0 + 0x0F);
+select 0x0F + 0xFF ^ 0xF0, (0x0F + 0xFF) ^ 0xF0, 0x0F + (0xFF ^ 0xF0);
+
+--echo Testing that ^ has precedence over binary -
+select 0xFF ^ 0xF0 - 1, (0xFF ^ 0xF0) - 1, 0xFF ^ (0xF0 - 1);
+select 0x55 - 0x0F ^ 0x55, (0x55 - 0x0F) ^ 0x55, 0x55 - (0x0F ^ 0x55);
+
+--echo Testing that ^ has precedence over *
+select 0xFF ^ 0xF0 * 2, (0xFF ^ 0xF0) * 2, 0xFF ^ (0xF0 * 2);
+select 2 * 0xFF ^ 0xF0, (2 * 0xFF) ^ 0xF0, 2 * (0xFF ^ 0xF0);
+
+--echo Testing that ^ has precedence over /
+select 0xFF ^ 0xF0 / 2, (0xFF ^ 0xF0) / 2, 0xFF ^ (0xF0 / 2);
+select 0xF2 / 2 ^ 0xF0, (0xF2 / 2) ^ 0xF0, 0xF2 / (2 ^ 0xF0);
+
+--echo Testing that ^ has precedence over %
+select 0xFF ^ 0xF0 % 0x20, (0xFF ^ 0xF0) % 0x20, 0xFF ^ (0xF0 % 0x20);
+select 0xFF % 0x20 ^ 0xF0, (0xFF % 0x20) ^ 0xF0, 0xFF % (0x20 ^ 0xF0);
+
+--echo Testing that ^ has precedence over DIV
+select 0xFF ^ 0xF0 DIV 2, (0xFF ^ 0xF0) DIV 2, 0xFF ^ (0xF0 DIV 2);
+select 0xF2 DIV 2 ^ 0xF0, (0xF2 DIV 2) ^ 0xF0, 0xF2 DIV (2 ^ 0xF0);
+
+--echo Testing that ^ has precedence over MOD
+select 0xFF ^ 0xF0 MOD 0x20, (0xFF ^ 0xF0) MOD 0x20, 0xFF ^ (0xF0 MOD 0x20);
+select 0xFF MOD 0x20 ^ 0xF0, (0xFF MOD 0x20) ^ 0xF0, 0xFF MOD (0x20 ^ 0xF0);
+