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mariadb/mysql-test/r/func_math.result
kaa@kaamos.(none) 8d222210c7 Fix for bug #31236: Inconsistent division by zero behavior for 
floating point numbers

Some math functions did not check if the result is a valid number
(i.e. neither of +-inf or nan).

Fixed by validating the result where necessary and returning NULL in
case of invalid result.
2008-02-20 00:33:43 +03:00

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drop table if exists t1;
select floor(5.5),floor(-5.5);
floor(5.5) floor(-5.5)
5 -6
explain extended select floor(5.5),floor(-5.5);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select floor(5.5) AS `floor(5.5)`,floor(-(5.5)) AS `floor(-5.5)`
select ceiling(5.5),ceiling(-5.5);
ceiling(5.5) ceiling(-5.5)
6 -5
explain extended select ceiling(5.5),ceiling(-5.5);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select ceiling(5.5) AS `ceiling(5.5)`,ceiling(-(5.5)) AS `ceiling(-5.5)`
select truncate(52.64,1),truncate(52.64,2),truncate(52.64,-1),truncate(52.64,-2), truncate(-52.64,1),truncate(-52.64,-1);
truncate(52.64,1) truncate(52.64,2) truncate(52.64,-1) truncate(52.64,-2) truncate(-52.64,1) truncate(-52.64,-1)
52.6 52.64 50 0 -52.6 -50
explain extended select truncate(52.64,1),truncate(52.64,2),truncate(52.64,-1),truncate(52.64,-2), truncate(-52.64,1),truncate(-52.64,-1);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select truncate(52.64,1) AS `truncate(52.64,1)`,truncate(52.64,2) AS `truncate(52.64,2)`,truncate(52.64,-(1)) AS `truncate(52.64,-1)`,truncate(52.64,-(2)) AS `truncate(52.64,-2)`,truncate(-(52.64),1) AS `truncate(-52.64,1)`,truncate(-(52.64),-(1)) AS `truncate(-52.64,-1)`
select round(5.5),round(-5.5);
round(5.5) round(-5.5)
6 -6
explain extended select round(5.5),round(-5.5);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select round(5.5,0) AS `round(5.5)`,round(-(5.5),0) AS `round(-5.5)`
select round(5.64,1),round(5.64,2),round(5.64,-1),round(5.64,-2);
round(5.64,1) round(5.64,2) round(5.64,-1) round(5.64,-2)
5.6 5.64 10 0
select abs(-10), sign(-5), sign(5), sign(0);
abs(-10) sign(-5) sign(5) sign(0)
10 -1 1 0
explain extended select abs(-10), sign(-5), sign(5), sign(0);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select abs(-(10)) AS `abs(-10)`,sign(-(5)) AS `sign(-5)`,sign(5) AS `sign(5)`,sign(0) AS `sign(0)`
select log(exp(10)),exp(log(sqrt(10))*2),log(-1),log(NULL),log(1,1),log(3,9),log(-1,2),log(NULL,2);
log(exp(10)) exp(log(sqrt(10))*2) log(-1) log(NULL) log(1,1) log(3,9) log(-1,2) log(NULL,2)
10 10 NULL NULL NULL 2 NULL NULL
explain extended select log(exp(10)),exp(log(sqrt(10))*2),log(-1),log(NULL),log(1,1),log(3,9),log(-1,2),log(NULL,2);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select log(exp(10)) AS `log(exp(10))`,exp((log(sqrt(10)) * 2)) AS `exp(log(sqrt(10))*2)`,log(-(1)) AS `log(-1)`,log(NULL) AS `log(NULL)`,log(1,1) AS `log(1,1)`,log(3,9) AS `log(3,9)`,log(-(1),2) AS `log(-1,2)`,log(NULL,2) AS `log(NULL,2)`
select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
ln(exp(10)) exp(ln(sqrt(10))*2) ln(-1) ln(0) ln(NULL)
10 10 NULL NULL NULL
explain extended select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select ln(exp(10)) AS `ln(exp(10))`,exp((ln(sqrt(10)) * 2)) AS `exp(ln(sqrt(10))*2)`,ln(-(1)) AS `ln(-1)`,ln(0) AS `ln(0)`,ln(NULL) AS `ln(NULL)`
select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
log2(8) log2(15) log2(-2) log2(0) log2(NULL)
3 3.9068905956085 NULL NULL NULL
explain extended select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select log2(8) AS `log2(8)`,log2(15) AS `log2(15)`,log2(-(2)) AS `log2(-2)`,log2(0) AS `log2(0)`,log2(NULL) AS `log2(NULL)`
select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
log10(100) log10(18) log10(-4) log10(0) log10(NULL)
2 1.2552725051033 NULL NULL NULL
explain extended select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select log10(100) AS `log10(100)`,log10(18) AS `log10(18)`,log10(-(4)) AS `log10(-4)`,log10(0) AS `log10(0)`,log10(NULL) AS `log10(NULL)`
select pow(10,log10(10)),power(2,4);
pow(10,log10(10)) power(2,4)
10 16
explain extended select pow(10,log10(10)),power(2,4);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select pow(10,log10(10)) AS `pow(10,log10(10))`,pow(2,4) AS `power(2,4)`
set @@rand_seed1=10000000,@@rand_seed2=1000000;
select rand(999999),rand();
rand(999999) rand()
0.014231365187309 0.028870999839968
explain extended select rand(999999),rand();
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select rand(999999) AS `rand(999999)`,rand() AS `rand()`
select pi(),format(sin(pi()/2),6),format(cos(pi()/2),6),format(abs(tan(pi())),6),format(cot(1),6),format(asin(1),6),format(acos(0),6),format(atan(1),6);
pi() format(sin(pi()/2),6) format(cos(pi()/2),6) format(abs(tan(pi())),6) format(cot(1),6) format(asin(1),6) format(acos(0),6) format(atan(1),6)
3.141593 1.000000 0.000000 0.000000 0.642093 1.570796 1.570796 0.785398
explain extended select pi(),format(sin(pi()/2),6),format(cos(pi()/2),6),format(abs(tan(pi())),6),format(cot(1),6),format(asin(1),6),format(acos(0),6),format(atan(1),6);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select pi() AS `pi()`,format(sin((pi() / 2)),6) AS `format(sin(pi()/2),6)`,format(cos((pi() / 2)),6) AS `format(cos(pi()/2),6)`,format(abs(tan(pi())),6) AS `format(abs(tan(pi())),6)`,format((1 / tan(1)),6) AS `format(cot(1),6)`,format(asin(1),6) AS `format(asin(1),6)`,format(acos(0),6) AS `format(acos(0),6)`,format(atan(1),6) AS `format(atan(1),6)`
select degrees(pi()),radians(360);
degrees(pi()) radians(360)
180 6.2831853071796
select format(atan(-2, 2), 6);
format(atan(-2, 2), 6)
-0.785398
select format(atan(pi(), 0), 6);
format(atan(pi(), 0), 6)
1.570796
select format(atan2(-2, 2), 6);
format(atan2(-2, 2), 6)
-0.785398
select format(atan2(pi(), 0), 6);
format(atan2(pi(), 0), 6)
1.570796
SELECT ACOS(1.0);
ACOS(1.0)
0
SELECT ASIN(1.0);
ASIN(1.0)
1.5707963267949
SELECT ACOS(0.2*5.0);
ACOS(0.2*5.0)
0
SELECT ACOS(0.5*2.0);
ACOS(0.5*2.0)
0
SELECT ASIN(0.8+0.2);
ASIN(0.8+0.2)
1.5707963267949
SELECT ASIN(1.2-0.2);
ASIN(1.2-0.2)
1.5707963267949
select format(4.55, 1), format(4.551, 1);
format(4.55, 1) format(4.551, 1)
4.6 4.6
explain extended select degrees(pi()),radians(360);
id select_type table type possible_keys key key_len ref rows filtered Extra
1 SIMPLE NULL NULL NULL NULL NULL NULL NULL NULL No tables used
Warnings:
Note 1003 select degrees(pi()) AS `degrees(pi())`,radians(360) AS `radians(360)`
select rand(rand);
ERROR 42S22: Unknown column 'rand' in 'field list'
create table t1 (col1 int, col2 decimal(60,30));
insert into t1 values(1,1234567890.12345);
select format(col2,7) from t1;
format(col2,7)
1,234,567,890.1234500
select format(col2,8) from t1;
format(col2,8)
1,234,567,890.12345000
insert into t1 values(7,1234567890123456.12345);
select format(col2,6) from t1 where col1=7;
format(col2,6)
1,234,567,890,123,456.123450
drop table t1;
select ceil(0.09);
ceil(0.09)
1
select ceil(0.000000000000000009);
ceil(0.000000000000000009)
1
create table t1 select round(1, 6);
show create table t1;
Table Create Table
t1 CREATE TABLE `t1` (
`round(1, 6)` int(1) NOT NULL DEFAULT '0'
) ENGINE=MyISAM DEFAULT CHARSET=latin1
select * from t1;
round(1, 6)
1
drop table t1;
select abs(-2) * -2;
abs(-2) * -2
-4
CREATE TABLE t1 (a INT);
INSERT INTO t1 VALUES (1),(1),(1),(2);
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED)
FROM t1;
CAST(RAND(2) * 1000 AS UNSIGNED) CAST(RAND(a) * 1000 AS UNSIGNED)
656 405
122 405
645 405
858 656
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED)
FROM t1 WHERE a = 1;
CAST(RAND(2) * 1000 AS UNSIGNED) CAST(RAND(a) * 1000 AS UNSIGNED)
656 405
122 405
645 405
INSERT INTO t1 VALUES (3);
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED)
FROM t1;
CAST(RAND(2) * 1000 AS UNSIGNED) CAST(RAND(a) * 1000 AS UNSIGNED)
656 405
122 405
645 405
858 656
354 906
SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(a) * 1000 AS UNSIGNED)
FROM t1 WHERE a = 1;
CAST(RAND(2) * 1000 AS UNSIGNED) CAST(RAND(a) * 1000 AS UNSIGNED)
656 405
122 405
645 405
PREPARE stmt FROM
"SELECT CAST(RAND(2) * 1000 AS UNSIGNED), CAST(RAND(?) * 1000 AS UNSIGNED)
FROM t1 WHERE a = 1";
set @var=2;
EXECUTE stmt USING @var;
CAST(RAND(2) * 1000 AS UNSIGNED) CAST(RAND(?) * 1000 AS UNSIGNED)
656 656
122 122
645 645
DROP TABLE t1;
create table t1 (a varchar(90), ts datetime not null, index (a)) engine=innodb default charset=utf8;
insert into t1 values ('http://www.foo.com/', now());
select a from t1 where a='http://www.foo.com/' order by abs(timediff(ts, 0));
a
http://www.foo.com/
drop table t1;
set sql_mode='traditional';
select ln(-1);
ln(-1)
NULL
Warnings:
Error 1365 Division by 0
select log10(-1);
log10(-1)
NULL
Warnings:
Error 1365 Division by 0
select log2(-1);
log2(-1)
NULL
Warnings:
Error 1365 Division by 0
select log(2,-1);
log(2,-1)
NULL
Warnings:
Error 1365 Division by 0
select log(-2,1);
log(-2,1)
NULL
Warnings:
Error 1365 Division by 0
set sql_mode='';
select round(111,-10);
round(111,-10)
0
select round(-5000111000111000155,-1);
round(-5000111000111000155,-1)
-5000111000111000160
select round(15000111000111000155,-1);
round(15000111000111000155,-1)
15000111000111000160
select truncate(-5000111000111000155,-1);
truncate(-5000111000111000155,-1)
-5000111000111000150
select truncate(15000111000111000155,-1);
truncate(15000111000111000155,-1)
15000111000111000150
set names utf8;
create table t1
(f1 varchar(32) not null,
f2 smallint(5) unsigned not null,
f3 int(10) unsigned not null default '0')
engine=myisam default charset=utf8;
insert into t1 values ('zombie',0,0),('gold',1,10000),('silver',2,10000);
create table t2
(f1 int(10) unsigned not null,
f2 int(10) unsigned not null,
f3 smallint(5) unsigned not null)
engine=myisam default charset=utf8;
insert into t2 values (16777216,16787215,1),(33554432,33564431,2);
select format(t2.f2-t2.f1+1,0) from t1,t2
where t1.f2 = t2.f3 order by t1.f1;
format(t2.f2-t2.f1+1,0)
10,000
10,000
drop table t1, t2;
set names default;
select cast(-2 as unsigned), 18446744073709551614, -2;
cast(-2 as unsigned) 18446744073709551614 -2
18446744073709551614 18446744073709551614 -2
select abs(cast(-2 as unsigned)), abs(18446744073709551614), abs(-2);
abs(cast(-2 as unsigned)) abs(18446744073709551614) abs(-2)
18446744073709551614 18446744073709551614 2
select ceiling(cast(-2 as unsigned)), ceiling(18446744073709551614), ceiling(-2);
ceiling(cast(-2 as unsigned)) ceiling(18446744073709551614) ceiling(-2)
18446744073709551614 18446744073709551614 -2
select floor(cast(-2 as unsigned)), floor(18446744073709551614), floor(-2);
floor(cast(-2 as unsigned)) floor(18446744073709551614) floor(-2)
18446744073709551614 18446744073709551614 -2
select format(cast(-2 as unsigned), 2), format(18446744073709551614, 2), format(-2, 2);
format(cast(-2 as unsigned), 2) format(18446744073709551614, 2) format(-2, 2)
18,446,744,073,709,551,614.00 18,446,744,073,709,551,614.00 -2.00
select sqrt(cast(-2 as unsigned)), sqrt(18446744073709551614), sqrt(-2);
sqrt(cast(-2 as unsigned)) sqrt(18446744073709551614) sqrt(-2)
4294967296 4294967296 NULL
select round(cast(-2 as unsigned), 1), round(18446744073709551614, 1), round(-2, 1);
round(cast(-2 as unsigned), 1) round(18446744073709551614, 1) round(-2, 1)
18446744073709551614 18446744073709551614 -2
select round(4, cast(-2 as unsigned)), round(4, 18446744073709551614), round(4, -2);
round(4, cast(-2 as unsigned)) round(4, 18446744073709551614) round(4, -2)
4 4 0
select truncate(cast(-2 as unsigned), 1), truncate(18446744073709551614, 1), truncate(-2, 1);
truncate(cast(-2 as unsigned), 1) truncate(18446744073709551614, 1) truncate(-2, 1)
18446744073709551614 18446744073709551614 -2
select truncate(4, cast(-2 as unsigned)), truncate(4, 18446744073709551614), truncate(4, -2);
truncate(4, cast(-2 as unsigned)) truncate(4, 18446744073709551614) truncate(4, -2)
4 4 0
select round(10000000000000000000, -19), truncate(10000000000000000000, -19);
round(10000000000000000000, -19) truncate(10000000000000000000, -19)
10000000000000000000 10000000000000000000
select round(1e0, -309), truncate(1e0, -309);
round(1e0, -309) truncate(1e0, -309)
0 0
select round(1e1,308), truncate(1e1, 308);
round(1e1,308) truncate(1e1, 308)
10 10
select round(1e1, 2147483648), truncate(1e1, 2147483648);
round(1e1, 2147483648) truncate(1e1, 2147483648)
10 10
select round(1.1e1, 4294967295), truncate(1.1e1, 4294967295);
round(1.1e1, 4294967295) truncate(1.1e1, 4294967295)
11 11
select round(1.12e1, 4294967296), truncate(1.12e1, 4294967296);
round(1.12e1, 4294967296) truncate(1.12e1, 4294967296)
11.2 11.2
select round(1.5, 2147483640), truncate(1.5, 2147483640);
round(1.5, 2147483640) truncate(1.5, 2147483640)
1.500000000000000000000000000000 1.500000000000000000000000000000
select round(1.5, -2147483649), round(1.5, 2147483648);
round(1.5, -2147483649) round(1.5, 2147483648)
0 1.500000000000000000000000000000
select truncate(1.5, -2147483649), truncate(1.5, 2147483648);
truncate(1.5, -2147483649) truncate(1.5, 2147483648)
0 1.500000000000000000000000000000
select round(1.5, -4294967296), round(1.5, 4294967296);
round(1.5, -4294967296) round(1.5, 4294967296)
0 1.500000000000000000000000000000
select truncate(1.5, -4294967296), truncate(1.5, 4294967296);
truncate(1.5, -4294967296) truncate(1.5, 4294967296)
0 1.500000000000000000000000000000
select round(1.5, -9223372036854775808), round(1.5, 9223372036854775808);
round(1.5, -9223372036854775808) round(1.5, 9223372036854775808)
0 1.500000000000000000000000000000
select truncate(1.5, -9223372036854775808), truncate(1.5, 9223372036854775808);
truncate(1.5, -9223372036854775808) truncate(1.5, 9223372036854775808)
0 1.500000000000000000000000000000
select round(1.5, 18446744073709551615), truncate(1.5, 18446744073709551615);
round(1.5, 18446744073709551615) truncate(1.5, 18446744073709551615)
1.500000000000000000000000000000 1.500000000000000000000000000000
select round(18446744073709551614, -1), truncate(18446744073709551614, -1);
round(18446744073709551614, -1) truncate(18446744073709551614, -1)
18446744073709551610 18446744073709551610
select round(4, -4294967200), truncate(4, -4294967200);
round(4, -4294967200) truncate(4, -4294967200)
0 0
select mod(cast(-2 as unsigned), 3), mod(18446744073709551614, 3), mod(-2, 3);
mod(cast(-2 as unsigned), 3) mod(18446744073709551614, 3) mod(-2, 3)
2 2 -2
select mod(5, cast(-2 as unsigned)), mod(5, 18446744073709551614), mod(5, -2);
mod(5, cast(-2 as unsigned)) mod(5, 18446744073709551614) mod(5, -2)
5 5 1
select pow(cast(-2 as unsigned), 5), pow(18446744073709551614, 5), pow(-2, 5);
pow(cast(-2 as unsigned), 5) pow(18446744073709551614, 5) pow(-2, 5)
2.1359870359209e+96 2.1359870359209e+96 -32
CREATE TABLE t1 (a timestamp, b varchar(20), c bit(1));
INSERT INTO t1 VALUES('1998-09-23', 'str1', 1), ('2003-03-25', 'str2', 0);
SELECT a DIV 900 y FROM t1 GROUP BY y;
y
22201025555
22255916666
SELECT DISTINCT a DIV 900 y FROM t1;
y
22201025555
22255916666
SELECT b DIV 900 y FROM t1 GROUP BY y;
y
0
SELECT c DIV 900 y FROM t1 GROUP BY y;
y
0
DROP TABLE t1;
CREATE TABLE t1(a LONGBLOB);
INSERT INTO t1 VALUES('1'),('2'),('3');
SELECT DISTINCT (a DIV 254576881) FROM t1;
(a DIV 254576881)
0
SELECT (a DIV 254576881) FROM t1 UNION ALL
SELECT (a DIV 254576881) FROM t1;
(a DIV 254576881)
0
0
0
0
0
0
DROP TABLE t1;
CREATE TABLE t1(a SET('a','b','c'));
INSERT INTO t1 VALUES ('a');
SELECT a DIV 2 FROM t1 UNION SELECT a DIV 2 FROM t1;
a DIV 2
0
DROP TABLE t1;
End of 5.0 tests
SELECT 1e308 + 1e308;
1e308 + 1e308
NULL
SELECT -1e308 - 1e308;
-1e308 - 1e308
NULL
SELECT 1e300 * 1e300;
1e300 * 1e300
NULL
SELECT 1e300 / 1e-300;
1e300 / 1e-300
NULL
SELECT EXP(750);
EXP(750)
NULL
SELECT POW(10, 309);
POW(10, 309)
NULL
End of 5.1 tests
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