#
# Test of math functions
#

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

select floor(5.5),floor(-5.5);
explain extended select floor(5.5),floor(-5.5);
select ceiling(5.5),ceiling(-5.5);
explain extended select ceiling(5.5),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);
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);
select round(5.5),round(-5.5);
explain extended select round(5.5),round(-5.5);
select round(5.64,1),round(5.64,2),round(5.64,-1),round(5.64,-2);
select abs(-10), sign(-5), sign(5), sign(0);
explain extended select abs(-10), sign(-5), sign(5), 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);
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);
select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
explain extended select ln(exp(10)),exp(ln(sqrt(10))*2),ln(-1),ln(0),ln(NULL);
select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
explain extended select log2(8),log2(15),log2(-2),log2(0),log2(NULL);
select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
explain extended select log10(100),log10(18),log10(-4),log10(0),log10(NULL);
select pow(10,log10(10)),power(2,4);
explain extended select pow(10,log10(10)),power(2,4);
set @@rand_seed1=10000000,@@rand_seed2=1000000;
select rand(999999),rand();
explain extended select rand(999999),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);
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);
select degrees(pi()),radians(360);

#
# Bug #2338 Trignometric arithmatic problems 
#

SELECT ACOS(1.0);
SELECT ASIN(1.0);
SELECT ACOS(0.2*5.0);
SELECT ACOS(0.5*2.0);
SELECT ASIN(0.8+0.2);
SELECT ASIN(1.2-0.2);

#
# Bug #3051 FLOOR returns invalid 
#

# This can't be tested as it's not portable
#select floor(log(4)/log(2));
#select floor(log(8)/log(2));
#select floor(log(16)/log(2));

#
# Bug #9060 (format returns incorrect result)
#
select format(4.55, 1), format(4.551, 1);

explain extended select degrees(pi()),radians(360);

#
# Bug #7281: problem with rand()
#

--error 1054
select rand(rand);

# End of 4.1 tests

#
# Bug #8459 (FORMAT returns incorrect result)
#
create table t1 (col1 int, col2 decimal(60,30));
insert into t1 values(1,1234567890.12345);
select format(col2,7) from t1;
select format(col2,8) from t1;
insert into t1 values(7,1234567890123456.12345);
select format(col2,6) from t1 where col1=7;
drop table t1;


#
# Bug @10632 (Ceiling function returns wrong answer)
#
select ceil(0.09);
select ceil(0.000000000000000009);

#
# Bug #9837: problem with round()
#

create table t1 select round(1, 6);
show create table t1;
select * from t1;
drop table t1;

#
# Bug #11402: abs() forces rest of calculation to unsigned
#
select abs(-2) * -2;

#
# Bug #6172 RAND(a) should only accept constant values as arguments
#
create table t1 (i int);
insert into t1 values (1);
--error 1210
select rand(i) from t1;
drop table t1;

#
# Bug #14009: use of abs() on null value causes problems with filesort
#
# InnoDB is required to reproduce the fault, but it is okay if we default to
# MyISAM when testing.
--disable_warnings
create table t1 (a varchar(90), ts datetime not null, index (a)) engine=innodb default charset=utf8;
--enable_warnings
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));
drop table t1;

# End of 4.1 tests

#
# Bug #13820 (No warning on log(negative)
#
set sql_mode='traditional';
select ln(-1);
select log10(-1);
select log2(-1);
select log(2,-1);
select log(-2,1);
set sql_mode='';

#
# Bug #8461 truncate() and round() return false results 2nd argument negative.
# 
# round(a,-b) log_10(b) > a
select round(111,-10);
# round on bigint 
select round(-5000111000111000155,-1);
# round on unsigned bigint
select round(15000111000111000155,-1);
# truncate on bigint 
select truncate(-5000111000111000155,-1);
# truncate on unsigned bigint
select truncate(15000111000111000155,-1);

#
# Bug#16678 FORMAT gives wrong result if client run with default-character-set=utf8
#
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;
drop table t1, t2;
set names default;

# Bug 24912 -- misc functions have trouble with unsigned

select cast(-2 as unsigned), 18446744073709551614, -2;
select abs(cast(-2 as unsigned)), abs(18446744073709551614), abs(-2);
select ceiling(cast(-2 as unsigned)), ceiling(18446744073709551614), ceiling(-2);
select floor(cast(-2 as unsigned)), floor(18446744073709551614), floor(-2);
select format(cast(-2 as unsigned), 2), format(18446744073709551614, 2), format(-2, 2);
select sqrt(cast(-2 as unsigned)), sqrt(18446744073709551614), sqrt(-2);
select round(cast(-2 as unsigned), 1), round(18446744073709551614, 1), round(-2, 1);
select round(4, cast(-2 as unsigned)), round(4, 18446744073709551614), round(4, -2);
select truncate(cast(-2 as unsigned), 1), truncate(18446744073709551614, 1), truncate(-2, 1);
select truncate(4, cast(-2 as unsigned)), truncate(4, 18446744073709551614), truncate(4, -2);
select round(10000000000000000000, -19), truncate(10000000000000000000, -19);
select round(1e0, -309), truncate(1e0, -309);
select round(1e1,308), truncate(1e1, 308);
select round(1e1, 2147483648), truncate(1e1, 2147483648);
select round(1.1e1, 4294967295), truncate(1.1e1, 4294967295);
select round(1.12e1, 4294967296), truncate(1.12e1, 4294967296);
select round(1.5, 2147483640), truncate(1.5, 2147483640);
select round(1.5, -2147483649), round(1.5, 2147483648);
select truncate(1.5, -2147483649), truncate(1.5, 2147483648);
select round(1.5, -4294967296), round(1.5, 4294967296);
select truncate(1.5, -4294967296), truncate(1.5, 4294967296);
select round(1.5, -9223372036854775808), round(1.5, 9223372036854775808);
select truncate(1.5, -9223372036854775808), truncate(1.5, 9223372036854775808);
select round(1.5, 18446744073709551615), truncate(1.5, 18446744073709551615);
select round(18446744073709551614, -1), truncate(18446744073709551614, -1);
select round(4, -4294967200), truncate(4, -4294967200);
select mod(cast(-2 as unsigned), 3), mod(18446744073709551614, 3), mod(-2, 3);
select mod(5, cast(-2 as unsigned)), mod(5, 18446744073709551614), mod(5, -2);
select pow(cast(-2 as unsigned), 5), pow(18446744073709551614, 5), pow(-2, 5);

#
# Bug #30587: mysql crashes when trying to group by TIME div NUMBER
#

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;
SELECT DISTINCT a DIV 900 y FROM t1;
SELECT b DIV 900 y FROM t1 GROUP BY y;
SELECT c DIV 900 y FROM t1 GROUP BY y;
DROP TABLE t1;

CREATE TABLE t1(a LONGBLOB);
INSERT INTO t1 VALUES('1'),('2'),('3');
SELECT DISTINCT (a DIV 254576881) FROM t1;
SELECT (a DIV 254576881) FROM t1 UNION ALL 
  SELECT (a DIV 254576881) FROM t1;
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;
DROP TABLE t1;

#
# Bug #15936: "round" differs on Windows to Unix
#

CREATE TABLE t1 (a DOUBLE);

INSERT INTO t1 VALUES (-1.1), (1.1),
                      (-1.5), (1.5),
                      (-1.9), (1.9),
                      (-2.1), (2.1),
                      (-2.5), (2.5),
                      (-2.9), (2.9),
# Check numbers with absolute values > 2^53 - 1 
# (see comments for MAX_EXACT_INTEGER)
                      (-1e16 - 0.5), (1e16 + 0.5),
                      (-1e16 - 1.5), (1e16 + 1.5);

SELECT a, ROUND(a) FROM t1;

DROP TABLE t1;

#
# Bug#45152 crash with round() function on longtext column in a derived table
#
CREATE TABLE t1(f1 LONGTEXT) engine=myisam;
INSERT INTO t1 VALUES ('a');
SELECT 1 FROM (SELECT ROUND(f1) AS a FROM t1) AS s WHERE a LIKE 'a';
SELECT 1 FROM (SELECT ROUND(f1, f1) AS a FROM t1) AS s WHERE a LIKE 'a';
DROP TABLE t1;

--echo End of 5.0 tests